NOTE ON AN ERRONEOUS FORMULA EMPLOYED 
 IN THE TABLES OF THE FOUR GREAT 
 SATELLITES OF JUPITER. By PROF. R. A. 
 SAMPSON, F.R.S. 
 
 Monthly Notices of R.A.S., Dec. igio. 
 
/, ,, (he MONTHLY NOTICES OF THrf.rt-r.-'L .\syu. N.IM.I- 
 
 \;,1. LXX1. A'o. 2. 
 
 NOTE ON AN ERRONEOUS FORMULA EMPLOYED IN 
 THE TABLES OF THE FOUR GREAT SATELLITES 
 OF JUPITER. 
 
 BY 
 
 PROFESSOR K. A. SAMPSON, F.R.S. 
 
Note on an erroneous formula employed in the Tables of the Four 
 Great Satellites of Jupiter. By Prof. K. A. Sampson, F.E.S. 
 
 The expressions which reduce the time of conjunction upon 
 Jupiter's orbit to the point midway between immersion and emer- 
 sion in eclipse are found as follows. If S, J, M are the centres of 
 
 FIG. i. 
 
 the Sun, Jupiter and the Satellite, to the inclination of Jupiter's 
 equator to his orbit, F the angle from the node of equator to SJ 
 produced, (i +/o)R' the equatorial radius of Jupiter, D the distance 
 SJ, then the coordinates of the satellite in eclipse satisfy the 
 equation 
 
 o = j/ 2 + z 2 + (2/3 + p 2 )( cos to - y sin <a cos F) 2 
 
 (i) 
 
 Cf. Harvard Annals, vol. Hi., part ii., p. 228. 
 
 Or, suppressing small quantities with which we are not now 
 concerned, and writing 
 
 y = rAv, z = r(s + s A v), 
 
 where Av is angle measured from conjunction and projected upon 
 Jupiter's orbit, s is the tangent of the latitude above the orbit at 
 
 ds 
 
 the moment of conjunction, and s = , we have the equation 
 
 dv 
 
Dec. ip to. Note on an erroneous formula, etc. 125 
 
 where 
 
 A = i + . . . , H = { i + 2p + p' 2 + . . . }as - (2p + f>) s sin <a cos <a co - !' 
 
 and the solution 
 
 H 
 
 gives us the so-called "Reduction to Middle" - H/ A, or approxi- 
 mately - (i +p)~ ss' + (2p + p") s sin to cos co cos F . . (z) 
 which must then be converted into time in proportion with the 
 synodic motion. 
 
 This form applies for eclipses and, with certain additions, for 
 occupations. The argument F is then equal to the satellite's 
 principal argument of latitude, and the second term becomes con- 
 founded with a portion of the first, its chief effect being to reduce 
 the first by about one-seventh part. 
 
 If now we turn from the theory of eclipses to shadows, when 
 the satellite is in the neighbourhood of inferior conjunction, 
 equation (i) still applies, and it seems at first sight evident that 
 (2) is still the form of the Reduction, when s, ' both changing 
 sign from the values they had at superior conjunction, the 
 former term remains unaltered, but the latter, in place of diminish- 
 
 FIG. 2. 
 
 ing, now increases the value of the former by about one-seventh. 
 Allowing for their completer expression, these are the forms I 
 have used in my tables. 
 
 It is not easy to see that there is room for error in the above 
 formula:, and I had no suspicion of them until Dr. Cowell asked 
 me for the reason of the difference from superior to inferior con- 
 junction. In reply I quoted the formula (2), pointing to the term 
 which changes sign ; but, not dismissing the matter from mind, I 
 looked further for a common-sense explanation. It then became 
 clear that there must somewhere be an error, because there was no 
 room for a difference of sign of the kind expected. 
 
 Looking towards S, let the planet's disc be as shown, and let 
 Im be the path of the satellite in front of it at superior conjunc- 
 
126 
 
 Note on an erroneous formula, etc. 
 
 tion, I'm the patli behind it at inferior conjunction, and consider 
 e case when , =o or the chords are parallel to Jupiter's orbit so 
 that the hrst term of the Reduction is zero; then drawing ,\ Q 
 conjugate to to., the length pq would measure the second Term 
 which vanishes if the disc is a circle or if Jupiter's equator co 
 c des with his orbit. Xow it is evident that if py is additive to 
 >e point of conjunction in the first case, pq is equally additive in 
 the second case, in spite of the latitude's change of sign, because 
 the satellite is now moving in the opposite direction Hence 
 some error must lurk in the application of the formula (2) to 
 the cases of shadow-transit and transit of the disc. It is the 
 following, 
 
 Returning to the first figure, the satellite when approach in- 
 inferior conjunction is moving in the opposite direction to that at 
 superior conjunction. Hence in place of y = r A v, we should write 
 ->/-r<Ar, while z retains its form unaltered, and this chnn 
 the sign of the second term in H, so that the form of Reduction 
 appropriate ^to shadows and transits of the disc is not (2) but 
 
 + pr ss - (2p + p 2 ) s sin w cos <o cos F 
 Remembering the value of F, the formulas (2), (3) when written 
 
 . terms of the arguments of the satellite's latitude assui 
 identical forms. 
 
 There is a minor term of the semiduration arisin" from the 
 same cause. 
 
 Probably the observations of shadows and transits, to which 
 alone this error applies, would not have led one to remark the 
 errors introduced, but that does not touch the question. It is ., 
 oversight of the most unfortunate character, inventing distinctions 
 where none exist, causing the calculation and printing of several 
 considerable tables which are superfluous, and increasing by to 
 cent, the leading term of the Reduction. It is true that the 
 majority of the places where it declares itself could be set ri"ht by 
 a very simple precept, directing the use for all phenomena of the 
 tables which have been prepared for eclipses and occupations but 
 owing to details of the arrangement this would introduce other diffi- 
 culties. After considering very carefully the possible courses I have 
 decided to reprint the whole of the Reductions for each satellite 
 and to issue them with an explanation as an erratum. In the form' 
 in winch I am doing this, the tables will then be as straightforward 
 to use as, and indeed a little simpler than, they are at present 
 
 PRINTED BY NKILL AND CO., LTD., EDINBCROH. 
 
TABLES 
 
 OF THE 
 
 FOUR GREAT SATELLITES 
 
 OF 
 
 JUPITER 
 
TABLES 
 
 OF THE 
 
 FOUR GREAT SATELLITES 
 
 OF 
 
 JUPITER 
 
 BY 
 
 R. A. SAMPSON, D.Sc., F.R.S., 
 
 PROFESSOR OF ASTRONOMY 
 
 fat tft* 
 
 BY 
 
 WILLIAM WESLEY & SON 
 
 28 ESSEX STREET, STRAND 
 
 LONDON 
 
 1910 
 

 
PREFACE 
 
 THE Tables of the Four Great Satellites of Jupiter have been calculated from formulas and precepts 
 which I supplied, by Mr F. C. H. Carpenter, B.Sc., Observer at Durham Observatory, and 
 Mr W. F. Doak, M.A., Assistant at H.M. Nautical Almanac Office, Mr Carpenter taking the 
 major part. The Tables were written in MS. and verified, for the most part by myself ; the 
 verification was made, wherever possible, by reconstructing the entries of each Table 
 from its difference columns. The type was set up by Messrs Neill & Co. Ltd. with extreme 
 accuracy, and the proofs were read with the MS. independently by Mr Carpenter and 
 myself. The cost of computation, as far as this outran established duty at the Observatory, 
 was provided from the Government Grant for Scientific Investigations. The cost of 
 publication is borne by the Observatory. 
 
 R. A. SAMPSON. 
 
 
 
 UNIVERSITY OF DURHAM OBSERVATORY, 
 1910 August. 
 
CONTENTS 
 
 PREFACE ............. 
 
 INTRODUCTION ............ 
 
 SATELLITE I : Approximate Tables of Conjunction, I VIII . 
 
 Tables of Longitude, Latitude and Radius Vector, IX-XXXVII 
 Tables of the Phenomena, XXXVIII-LIV . 
 
 SATELLITE II : Approximate Tables of Conjunction, I VIII . 
 
 Tables of Longitude, Latitude and Radius Vector, IX-XLVII . 
 Tables of the Phenomena, XLVIII-LXIX .... 
 
 SATELLITE III : Approximate Tables of Conjunction, I X . 
 
 Tables of Longitude, Latitude and Radius Vector, XI XLV 
 Tables of the Phenomena, XLVI-LXVIII 
 
 SATELLITE IV 
 
 Approximate Tables of Conjunction, I-VIII .... 
 Tables of Longitude, Latitude and Radius Vector, IX-XXXIX . 
 Tables of the Phenomena, XL-LXIV 
 
 AUXILIARY TABLES, C-CIX 
 
 PAGE 
 
 iii 
 vii 
 
 i 
 1 1 
 
 53 
 
 63 
 
 75 
 
 121 
 
 137 
 149 
 
 I 9 I 
 
 21 I 
 
 223 
 265 
 
 2 93 
 
 5009-49 
 
INTRODUCTION 
 
INTRODUCTION 
 
 THE following Tables are designed for calculating the positions and phenomena of the Four 
 Great Satellites of Jupiter between the dates 1850 and 2000. The constants upon which they 
 are based are those derived from a discussion of eclipses observed photometrically at Harvard 
 College Observatory from 1878 to 1903 (Harvard Annals, vol. LII, parts I, 2), supplemented 
 for the determination of two secular motions by Delambre's collection of ancient eclipses (Mem. 
 Roy. Astronom. Soc., vol. LIX). The expressions which are tabulated represent a theory of the 
 motions which I hope to publish with no avoidable delay. The notation and results of this 
 theory are rehearsed here only so far as they are necessary for understanding the tables ; but the 
 reader must refer to the later publication for full details, including proofs of rules laid down 
 and derivation of all the numbers. 
 
 The inequalities of the satellites' motions, and the arguments of these, depend upon the 
 masses m, , and upon certain coefficients _/',-= (i + /,)J^ 2 /tf,- 2 which arise from Jupiter's figure, 
 J being the coefficient which Laplace denotes by p ^ , b the equatorial radius of Jupiter, 
 and a f the mean value of the projection of the radius vector of the t h Satellite upon Jupiter's 
 equator. I find at Jupiter's mean distance b= i8" - 927, and with the values of a t given below, 
 p. xv, and the mass of Jupiter as unit, 
 
 J =-022273 
 w, = -0000449 7 
 *= 2536 
 m 3 = 7988 
 
 >4= 454- 
 
 With these masses I find the period of the Libration of Satellites I, II, III to be 204^-467. 
 I cannot find that the libration itself reaches any sensible amount, but the value of its period 
 affects materially the distribution of the larger inequalities between the three satellites. 
 
 The co-ordinates of the satellites are referred to the centre of Jupiter as origin. 
 
 The longitudes which are given on the next page are measured from a parallel to the 
 mean equinox of 1900, along a plane parallel to the mean ecliptic of that date up to the 
 ascending node at 99'4244 of a fixed plane of inclination i^ogS and thereafter along this 
 fixed plane. This fixed plane is virtually the plane of Jupiter's instantaneous orbit of 1900, 
 and when reference is made below to the inclination of Jupiter's equator or of a satellite's radius 
 vector to Jupiter's orbit, it is this plane which is meant. It is for the purposes of the Tables 
 only that longitudes are reduced to this plane ; for the greater part of the theory, they are 
 measured along Jupiter's moving equator from a certain departure-point. Denoting by /, = ,/ + e, 
 the mean longitude so measured, and by TT- , , the longitudes of the perijove and node, which 
 arise as constants of integration in the forms given to the equations of motion of the if 1 Satellite, 
 I distinguish by brackets (e,-) , (TT Z ) , (w z ) the corresponding values to which the necessary reduction 
 has been applied for referring them to the chosen fixed plane. 
 
Tables of the Four Great Satellites of Jupiter 
 
 The arguments that occur in the Tables are then combinations of the following 
 quantities : 
 
 Name 
 
 Symbol 
 
 Value in 1900-0 G.M.T. 
 
 Daily Tropical Motion 
 
 Mean Longitude : Satellite I 
 
 to 
 
 142^9987 
 
 203-488 992 435 
 
 Satellite II 
 
 (O 
 
 99-55081 
 
 101-374 761 672 
 
 Satellite III 
 
 ('3) 
 
 168-02628 
 
 50-317 646 290 
 
 Satellite IV 
 
 <*> 
 
 234'4079 
 
 21-571 109 630 
 
 Longitude of Perijove : Satellite I 
 
 to 
 
 265-719 
 
 + '157 9355 
 
 Satellite II 
 
 to 
 
 196-534 
 
 + -047 1156 
 
 Satellite III 
 
 to 
 
 340-679 
 
 + -006 9513 
 
 Satellite IV 
 
 to 
 
 283-25800 
 
 + -ooi 8975 
 
 Longitude of Node : Satellite I 
 
 (0 
 
 33-299 
 
 134 0305 
 
 Satellite II 
 
 to) 
 
 290-54986 
 
 -032 6993 
 
 Satellite III 
 
 K) 
 
 320-705 
 
 006 9776 
 
 Satellite IV 
 
 K) 
 
 7'33 J 
 
 ooi 7554 
 
 Longitude Node of Jupiter's Equator 
 
 4 
 * 
 
 316-051 
 
 + -ooo 0359 
 
 Mean Anomaly of Jupiter 
 
 G 
 
 -225-4447 
 
 [-+- -083 0912" 
 
 ,, Saturn 
 
 G' 
 
 175-7586 
 
 [+ -033 4598! 
 
 Earth 
 
 G, 
 
 35 8 '47 
 
 [+ -985 6005] 
 
 Longitude of Perihelion of Jupiter 
 
 n 
 
 12-6055 
 
 + -ooo 0382 
 
 Earth 
 
 n, 
 
 101*22 
 
 4- "ooo 0471 
 
 Note. The motions of G, G', Gj are enclosed in [ ] because they are not tropical motions. II is the longitude of 
 fixed point, and the motion assigned to it is merely the reflexion of the motion of the equinox. The values of II, G are 
 taken from Hill's Tables of Jupiter. 
 
 It will be observed that 
 
 In agreement with the notation of the theory, write 
 
 7 _ 7 1 J 77 i ^-, ft^-> TT 
 
 whence </ 2</ 23 =i8o =</ 13 3</ a3 ; 
 
 ; T 
 
 // I 
 
 gi 1 3 *I , > 
 
 r'=4 -.. 
 
 h" =/ 3 
 
 H = 
 
 -*, A = 
 
 In these expressions, and below, G is supplemented by a quantity SG, which consists of 
 the two chief inequalities of long period of Jupiter's mean anomaly as given in Hill's Tables 
 (pp. 24, 25), namely those of arguments 2G' G and $G'2G. 
 
 EQUATIONS OF LONGITUDE 
 
 The following equations are the quantities which must be added to the mean to give the 
 true longitude of the Satellite, and include all inequalities of which I find the coefficient to 
 
Introduction 
 
 reach i", as well as some others the retention of which does not involve the introduction of an 
 additional argument. 
 
 SATELLITE I 
 
 No. 
 
 Argument 
 
 Notation 
 of 
 Tables 
 
 Coefficient of 
 Sine 
 
 No. 
 
 Argument 
 
 Notation 
 of 
 Tables 
 
 Coefficient of 
 Sine 
 
 i 
 
 4, 
 
 A 
 
 0-00395 
 
 , 5 
 
 f. 
 
 F 
 
 
 
 0-00720 
 
 2 
 
 2^ I3 
 
 .. 
 
 + '47 X 5 2 
 
 16 
 
 // 
 
 G 
 
 + -00394 
 
 3 
 
 34, 
 
 .. 
 
 + -00158 
 
 17 
 
 fa 
 
 H 
 
 + -00906 
 
 4 
 
 44. 
 
 .. 
 
 + -00155 
 
 18 
 
 // 
 
 I 
 
 + -00354 
 
 r 
 
 rd 
 
 
 -j- 'OOO I 2 
 
 
 
 
 
 6 
 
 64, 
 
 .. 
 
 + -00005 
 
 '9 
 
 G+SG 
 
 J 
 
 - -00155 
 
 7 
 
 74, 
 
 
 
 -f- 'OOOO2 
 
 20 
 
 2(G+G) 
 
 
 
 + -00035 
 
 
 
 
 
 2 I 
 
 i - ftJj 
 
 
 
 00074 
 
 8 
 
 4 3 
 
 B 
 
 -00158 
 
 22 
 
 *->, 
 
 .. 
 
 + -OOO2O 
 
 9 
 
 24, 
 
 .. 
 
 + -00133 
 
 2 3 
 
 i' a> 3 
 
 .. 
 
 + -00077 
 
 10 
 
 34, 
 
 .. 
 
 -f- -00014 
 
 24 
 
 * 4 
 
 .. 
 
 -00035 
 
 1 1 
 
 44, 
 
 
 
 -f- -OOOO2 
 
 25 
 
 to 2 o> 3 
 
 
 
 -f -00096 
 
 12 
 
 r. 
 
 C 
 
 + -00532 
 
 26 
 
 2^o 
 
 K 
 
 -04200 
 
 13 
 
 g 3 
 
 D 
 
 + -00426 
 
 27 
 
 ^O + ^I 
 
 P 
 
 -00074 
 
 H 
 
 ft 
 
 E 
 
 + -00190 
 
 28 
 
 ^* 
 
 Q 
 
 -OOO28 
 
 SATELLITE II 
 
 No. 
 
 Argument 
 
 Notation 
 of 
 Tables 
 
 Coefficient of 
 Sine 
 
 No. 
 
 Argument 
 
 Notation 
 of 
 Tables 
 
 Coefficient of 
 Sine 
 
 i 
 
 ^ 
 
 A 
 
 o 
 
 O'OI 182 
 
 r 9 
 
 2< 3 +/ 
 
 K 
 
 o 
 
 +0-00031 
 
 2 
 
 2^ 
 
 .. 
 
 + 1-07016 
 
 
 
 
 
 
 
 
 
 3 
 
 3*3 
 
 
 
 -f- -00480 
 
 20 
 
 4^3-^' 
 
 L 
 
 -00027 
 
 4 
 
 4*3 
 
 
 
 + '00541 
 
 21 
 
 *<.-*' 
 
 M 
 
 + -00199 
 
 5 
 
 54, 
 
 
 
 + -00038 
 
 22 
 
 4^3 <?/ 
 
 N 
 
 + -00083 
 
 
 6< 3 
 
 
 -r- "OOOCA 
 
 
 
 
 
 7 
 
 7< 3 
 
 
 
 + -00007 
 
 23 
 
 2^30 
 
 O 
 
 + '00034 
 
 8 
 
 9 
 10 
 
 < 
 
 2< 
 
 3< 
 
 B 
 
 -00065 
 + -00045 
 + -00005 
 
 24 
 25 
 26 
 
 27 
 
 G+^G 
 2(G+c$G) 
 5G' 2G+ 4 8-6 
 
 7r 3 -7r 4 
 
 P 
 
 -01047 
 -00117 
 -00085 
 + -00046 
 
 
 
 
 
 28 
 
 Y ft)., 
 
 .. 
 
 -01265 
 
 1 1 
 
 I/ 
 
 C 
 
 + -00092 
 
 29 
 
 * o) 3 
 
 
 -00196 
 
 12 
 
 *; 
 
 D 
 
 + -00945 
 
 3 
 
 ^ ft) 4 
 
 
 
 -f- -00092 
 
 1.3 
 
 & 
 
 E 
 
 + '03526 
 
 3i 
 
 (0 2 ft) 3 
 
 
 
 + '00033 
 
 14 
 
 A' 
 
 F 
 
 + '01483 
 
 32 
 
 to 3 _a) 4 
 
 
 
 + -00056 
 
 
 
 
 
 33 
 
 2^ 
 
 Q 
 
 - '04159 
 
 
 
 
 
 5 
 
 // 
 
 G 
 
 + -01141 
 
 34 
 
 ^o' + /^ a ' 
 
 R 
 
 -01265 
 
 16 
 
 n 
 
 H 
 
 + -00765 
 
 35 
 
 v+v 
 
 S 
 
 -00067 
 
 17 
 
 f! 
 
 I 
 
 -04455 
 
 36 
 
 V+V 
 
 T 
 
 -00016 
 
 18 
 
 // 
 
 J 
 
 -01798 
 
 37 
 
 2^' 
 
 U 
 
 -00096 
 
Tables of the Four Great Satellites of Jupiter 
 
 SATELLITE III 
 
 No. 
 
 Argument 
 
 Notation 
 of 
 Tables 
 
 Coefficient of 
 Sine 
 
 No. 
 
 Argument 
 
 Notation 
 of 
 Tables 
 
 Coefficient of 
 Sine 
 
 i 
 
 2 
 
 3 
 4 
 
 5 
 6 
 
 4. 
 
 2< 3 
 
 3< 3 
 4< 3 
 
 5<i 
 
 64,3 
 
 A 
 
 
 
 0x36898 
 -00109 
 'OOI2O 
 -OOOOy 
 -00003 
 -00004 
 
 18 
 19 
 
 *t-*" 
 
 <-*;" 
 
 H 
 
 I 
 
 
 
 +0-00054 
 '00604 
 
 20 
 21 
 22 
 
 23 
 
 
 
 n 
 n 
 h 
 
 K 
 L 
 
 M 
 
 -00036 
 -00332 
 + -00673 
 + -00293 
 
 7 
 8 
 
 9 
 
 10 
 
 1 1 
 
 4 
 
 2</ 34 
 
 3^34 
 4^4 
 5^34 
 
 B 
 
 -00429 
 + -01467 
 + -00103 
 + -00024 
 + -00007 
 
 2 4 
 
 2 5 
 
 G+^G 
 
 2(G+^G) 
 
 a 
 
 -OI34S 
 -00041 
 
 26 
 27 
 28 
 29 
 
 3 
 3i 
 
 5 G' 2G+ 4 8-6 
 
 7r 3 T 4 
 
 N 
 
 -oo 1 1 9 
 + -00069 
 + -00044 
 -00672 
 + -00060 
 + -00096 
 
 12 
 
 r 3 
 H 
 15 
 
 *: 
 
 & 
 %" 
 
 A" 
 
 C 
 D 
 
 E 
 
 -00030 
 
 + -17384 
 + 'OOOI7 
 
 + -07377 
 
 Y (0 2 
 "* ft) 3 
 
 ^ a> 4 
 
 a, 3 -w 4 
 
 3 2 
 33 
 34 
 35 
 
 2A " 
 
 V'+V 
 
 *>+v 
 
 *,"+*/' 
 
 
 P 
 Q 
 R 
 
 -03969 
 
 + -00044 
 
 -00469 
 -00095 
 
 16 
 
 i? 
 
 '&+- 
 
 ^n-g" 
 
 F 
 G 
 
 -00078 
 -00035 
 
 SATELLITE IV 
 
 No. 
 
 Argument 
 
 Notation 
 of 
 Tables 
 
 Coefficient of 
 Sine 
 
 No. 
 
 Argument 
 
 Notation 
 of 
 Tables 
 
 Coefficient of 
 Sine 
 
 I 
 
 < 
 
 A 
 
 o 
 
 +0-00058 
 
 12 
 
 *v-*r 
 
 H 
 
 o 
 
 +0-00635 
 
 2 
 
 < 
 
 B 
 
 + -00051 
 
 
 
 
 
 
 
 
 
 
 
 
 
 J 3 
 
 G+^G 
 
 a 
 
 -03216 
 
 
 
 
 
 3 
 
 < 
 
 C 
 
 -00229 
 
 H 
 
 2(G+<SG) 
 
 .. 
 
 -oo 1 1 6 
 
 4 
 
 2dL 
 
 .. 
 
 -00115 
 
 
 
 
 
 
 
 
 
 5 
 
 3^34 
 
 .. 
 
 -00025 
 
 15 
 
 2 G'-G+i 73 -i 7 
 
 I 
 
 + -00036 
 
 6 
 
 44 
 
 .. 
 
 -00007 
 
 16 
 
 5G' 2G+48-64 
 
 
 
 -00281 
 
 
 
 
 
 17 
 
 *-3 
 
 .. 
 
 + -00080 
 
 
 
 
 
 7 
 
 r 
 
 D 
 
 -02079 
 
 18 
 
 ^f W 4 
 
 .. 
 
 -OO2OO 
 
 8 
 
 tF 
 
 E 
 
 + -84491 
 
 
 
 
 
 
 
 
 
 9 
 
 *g? 
 
 .. 
 
 + -00388 
 
 J 9 
 
 w 
 
 J 
 
 -03118 
 
 
 
 
 
 20 
 
 h:"+h;" 
 
 K 
 
 -00641 
 
 
 
 
 
 10 
 
 di-St" 
 
 F 
 
 + -ooioo 
 
 21 
 
 iC+y 
 
 L 
 
 + -OOO68 
 
 1 1 
 
 2< 
 
 G 
 
 + -00119 
 
 22 
 
 2^"' 
 
 M 
 
 -00030 
 
Introduction 
 
 RADIUS VECTOR AND VARIATION OF MOTION 
 
 With the mass of Jupiter for unity, I find the following values for a*n? : 
 Sat. I Sat. II Sat. Ill Sat. IV 
 
 1-0006884 1-0003631 1*0002550 1-0002651 
 
 If A, N refer to Jupiter, and we take 
 
 A 3 N 2 = 1048-35, 
 
 this gives for a ( , which is the mean value of the projection of the radius upon Jupiter's equator, 
 at Jupiter's mean distance from the earth : 
 
 The mean values of the true radius vector exceed these by the amounts : 
 
 o"-ooo o"-oo3 o"-ooi o"-oo9 
 
 The Tables give the inequalities of the radius vector in the form : Twice the excess 
 above unity of the ratio of its projected value on the equator to the mean value of the same. 
 With sign reversed this also measures with sufficient accuracy the variation with respect to its 
 mean of the motion of the Satellite. It is denoted in the theory by the symbol 2, , and is here 
 referred to as the Variation. 
 
 The expressions are as follows : 
 
 Values of 2 (r,-/# ,- I ) 
 SATELLITE I SATELLITE II 
 
 No. 
 
 Argument 
 
 Notation 
 of 
 Tables 
 
 Coefficient of 
 Cosine 
 
 I 
 
 4. 
 
 A 
 
 +o-oooo4 
 
 2 
 
 2*/ I2 
 
 .. 
 
 -00825 
 
 3 
 
 34. 
 
 
 
 -00004 
 
 4 
 
 44, 
 
 
 
 -00003 
 
 5 
 
 4i 
 
 B 
 
 + -OOOO2 
 
 6 
 
 24 
 
 
 
 -00003 
 
 7 
 
 & 
 
 C 
 
 -00009 
 
 8 
 
 
 D 
 
 -00007 
 
 9 
 
 & 
 
 E 
 
 -00003 
 
 No. 
 
 Argument 
 
 Notation 
 of 
 Tables 
 
 Coefficient of 
 Cosine 
 
 I 
 
 4i 
 
 A 
 
 +o-ooou 
 
 2 
 
 2 4 
 
 .. 
 
 -01886 
 
 3 
 
 34 3 
 
 
 
 'OOOII 
 
 4 
 
 44 
 
 
 
 -00006 
 
 5 
 
 g.' 
 
 D 
 
 -00017 
 
 6 
 
 g' 
 
 E 
 
 -00062 
 
 7 
 
 /: 
 
 F 
 
 -00026 
 
 SATELLITE III 
 
 SATELLITE IV 
 
 No. 
 
 Argument 
 
 Notation 
 of 
 Tables 
 
 Coefficient of 
 Cosine 
 
 I 
 
 4s 
 
 A 
 
 + O'OOI27 
 
 2 
 
 2 4 
 
 .. 
 
 + -00003 
 
 3 
 
 34 
 
 
 
 -00003 
 
 4 
 
 <, 
 
 B 
 
 + -00005 
 
 5 
 
 "id 
 
 
 -00028 
 
 6 
 
 34 
 
 
 
 -OOOO2 
 
 7 
 
 ^ 
 
 D 
 
 -00303 
 
 , 8 
 
 ^" 
 
 E 
 
 -00129 
 
 No. 
 
 Argument 
 
 Notation 
 of 
 Tables 
 
 Coefficient of 
 Cosine 
 
 I 
 
 d 
 
 C 
 
 4-O'OOO2O 
 
 2 
 
 2 4 
 
 
 
 -{- -00004 
 
 3 
 
 g'" 
 
 D 
 
 + -00036 
 
 4 
 
 S"' 
 
 E 
 
 -01475 
 
 5 
 
 *g"' 
 
 
 
 -00005 
 
 6 
 
 Ho-*/" 
 
 H 
 
 -oooii 
 
Tables of the Four Great Satellites of Jupiter 
 
 LATITUDE 
 
 The quantity tabulated below is a certain multiple of the tangent of the inclination to 
 Jupiter's orbit of the radius vector of the Satellite. This is the quantity that is immediately 
 required for eclipses. The multiple in question depends, among other things, upon the 
 ellipticity of Jupiter, that is, the excess of unity above the ratio of his polar to his equatorial 
 diameter. This quantity I take at 1/15. 
 
 The multiples then become 
 
 Sat. I Sat. II Sat. Ill Sat. IV 
 
 6-26160 10-01855 16-00924 28-15626 
 
 and the expressions to which they lead : 
 
 SATELLITE I 
 
 Values of 
 
 No. 
 
 Argument 
 
 Notation 
 of 
 Tables 
 
 Coefficient of 
 Sine 
 
 I 
 
 h a 
 
 K 
 
 +0-33918 
 
 2 
 
 3*o 
 
 .. 
 
 -OOOI2 
 
 3 
 
 *, 
 
 L 
 
 + -00298 
 
 4 
 
 h, 
 
 M 
 
 + -ooiio 
 
 5 
 
 *3 
 
 N 
 
 + -00023 
 
 6 
 
 *4 
 
 
 
 + -OOOO6 
 
 SATELLITE III 
 
 No. 
 
 Argument 
 
 Notation 
 of 
 Tables 
 
 Coefficient of 
 Sine 
 
 I 
 
 4," 
 
 O 
 
 +0-84334 
 
 2 
 
 3*o'" 
 
 .. 
 
 -00029 
 
 3 
 
 3 
 
 s 
 
 '04983 
 
 4 
 
 h" 
 
 T 
 
 -00447 
 
 5 
 
 4 
 
 U 
 
 + -00974 
 
 6 
 
 
 V 
 
 + -00051 
 
 7 
 8 
 
 "-G 
 
 \ > 
 
 + -00009 
 -00007 
 
 SATELLITE II 
 
 No. 
 
 Argument 
 
 Notation 
 of 
 Tables 
 
 Coefficient of 
 Sine 
 
 I 
 
 *.' 
 
 Q 
 
 +0-54002 
 
 2 
 
 3*o' 
 
 ,. 
 
 -OOO2O 
 
 3 
 
 <0 
 
 U 
 
 + -08170 
 
 4 
 
 h' 
 
 V 
 
 -00014 
 
 5 
 
 *,; 
 
 w 
 
 + '00437 
 
 6 
 
 
 X 
 
 + -00103 
 
 7 
 
 2</ -A' 
 
 Y 
 
 -00025 
 
 8 
 
 V-aH 
 
 z 
 
 + -00014 
 
 9 
 10 
 
 2^ ' A, 
 2^0'+ A/ 
 
 }u 
 
 + -00009 
 -00009 
 
 SATELLITE IV 
 
 No. 
 
 Argument 
 
 Notation 
 of 
 Tables 
 
 Coefficient of 
 Sine 
 
 I 
 
 h'" 
 
 J 
 
 + 1-31486 
 
 2 
 
 M" 
 
 
 -00036 
 
 3 
 
 h"' 2 A 
 
 .. 
 
 -OOIO8 
 
 4 
 
 h '" 
 
 M 
 
 + -13366 
 
 5 
 
 v 
 
 N 
 
 -01456 
 
 6 
 
 
 
 
 + -OO2l6 
 
 7 
 
 A o '"_ 3 H+A 
 
 P 
 
 + -00025 
 
 8 
 
 ^ o "'_|_G 
 
 \ ' 
 
 + -00030 
 
 9 
 
 V-G 
 
 J R 
 
 -00029 
 
 In these expressions a rule has been adopted parallel to that for the equations of longitude : 
 inequalities are dismissed which correspond to differences of inclination of less than one second 
 of arc, when their recognition would require another argument. In the theory, the 
 
Introduction 
 
 expressions above are denoted by the symbol , ; in the Tables below, supplemented by the usual 
 tabulation constants, they are called shortly the Latitudes. The inclination of Jupiter's 
 equator to the fixed plane of his orbit which they embody is 3' 103 50. 
 
 The expressions for the Longitude, Variation, and Latitude are complete in themselves, 
 and may be used for finding the place of the Satellite at any given time, but they require certain 
 additional tables before they can be used for calculating the phenomena. The first thing 
 requisite is a knowledge of the time of conjunction, heliocentric or geocentric, superior or 
 inferior. The first tables for each Satellite, which I shall next describe, show approximately 
 the times when these conjunctions occur. 
 
 MEAN CONJUNCTIONS 
 
 The synodic periods of the four Satellites I find to be 
 
 d 
 
 Satellite I : 1769 860 4883 
 
 11 : 3'554 094 1742 
 III : 7-166 387 2292 
 
 IV : 16-753 55 2 3007. 
 
 With these the times of mean superior conjunction with Jupiter may be calculated between 
 the epochs 1850 and 2000, but it is convenient to consider simultaneously with Jupiter's mean 
 place his chief inequalities other than the equation of the centre. Those with which I reckon 
 are the following, drawn from Hill's Tables : 
 
 Table VIII . . . Long Period 
 
 IX ... Argument III, G' G 
 
 X . . . IV, 5 G'- 3 G 
 
 XI ... V,2G'-G 
 
 XII VI, 3 G'-2G; 
 
 these were calculated over the whole period and applied as corrections to Jupiter's mean place 
 before the mean conjunctions were determined. 
 
 Inferior mean conjunction is found from these by adding or subtracting one half the 
 synodic period. 
 
 EQUATIONS OF TRUE CONJUNCTION 
 
 These equations consist of the various inequalities by which the time of mean conjunction 
 may be anticipated or delayed, the angular coefficient being expressed in time, in proportion 
 with the synodic motion, namely at the rate for i of synodic motion : 
 
 Sat. 1 Sat. II Sat. Ill Sat. IV 
 
 The inequalities are of three kinds : (i) the equations of the centre of Jupiter, (ii) for 
 geocentric conjunctions, Jupiter's annual parallax, and (iii) the proper inequalities of the 
 Satellite. 
 
 The expression for Jupiter's equation of the centre is 
 
 + 5'528 sin (G+.5G) +o-i67 sin 2 (G+JG). 
 I find the expression for the annual parallax 
 
 p= n'02 sin D 1-04 sin 2D o-i4 sin 3 D o-O3 sin 4D 
 
 +sin G (+i-o6 cos D+o'2o cos 2D)+cos G ( o'55 sin D o-i2 sin 2D) 
 +sin G, ( o'38 cos D o'O7 cos 2D)+cos G, (+o-i9 sin D+o'O4 sin 2D). 
 
Tables of the Four Great Satellites of Jupiter 
 
 The symbols G or G + ($G, D, G t are defined on p. xii. The symbols for them as arguments 
 of the Tables are respectively a, , y. 
 
 These two expressions are converted into time by means of the factors for synodic motion 
 given above. 
 
 The proper inequalities of the Satellites are converted into time in the same way. They 
 occur here with the opposite sign to that which they show as equations of longitude. Those 
 which it is necessary to recognise are the following : 
 
 SATELLITE I 
 
 SATELLITE II 
 
 No. 
 
 Argument 
 
 Notation 
 of 
 Tables 
 
 Coefficient of 
 Sine 
 
 i 
 
 */ 
 
 
 
 d 
 O-OO23 
 
 2 
 
 2/* 
 
 
 
 + O-OOO2 
 
 No. 
 
 Argument 
 
 Notation 
 of 
 Tables 
 
 Coefficient of 
 Sine 
 
 I 
 
 2< 3 
 
 1 
 
 d 
 0-0106 
 
 2 
 
 ^ 
 
 e 
 
 +0-0004 
 
 SATELLITE III 
 
 SATELLITE IV 
 
 No. 
 
 Argument 
 
 Notation 
 of 
 Tables 
 
 Coefficient of 
 Sine 
 
 i 
 
 4 
 
 i 
 
 d 
 + 0-0014 
 
 2 
 
 &!' 
 
 e 
 
 0-0034 
 
 3 
 
 s" 
 
 % 
 
 0-0014 
 
 4 
 
 2h 
 
 1 
 
 +O-OOO8 
 
 No. 
 
 Argument 
 
 Notation 
 of 
 Tables 
 
 Coefficient of 
 Sine 
 
 I 
 
 &'" 
 
 I 
 
 d 
 0-039I 
 
 2 
 
 ih"' 
 
 e 
 
 + O-OOI4 
 
 
 
 1 
 
 These formulas, which are used for the first tables of each Satellite, give the time of true 
 conjunction approximately ; I shall now show how to determine the correction, or Comple- 
 ment, as it is called below, which is required to make it exact. 
 
 Using the approximate time just found as datum, we take out the true longitude of the 
 Satellite upon Jupiter's orbit at this time from the Tables of Longitude, Latitude and 
 Radius Vector. 
 
 To compare this with the place of Jupiter at the same time, we must take out the latter by 
 help of the Nautical Almanac, where his heliocentric longitude for each noon is tabulated, 
 referred to the ecliptic and mean equinox of date.* To make this comparable with the 
 place of the Satellite the reduction from Jupiter's orbit to the ecliptic must be applied to it with 
 sign reversed. As the latter is not given in the Nautical Almanac, I have added a table for it, 
 drawn from Hill's Tables of Jupiter. The excess of the longitude of Jupiter thus corrected over 
 the longitude of the Satellite, expressed in time in proportion with the Satellite's synodic motion, 
 with the allowance, where this is sensible, for the variation of the motion from its mean, 
 gives the Complement which must be added to the approximate time of datum to get the 
 exact time of superior true heliocentric conjunction upon Jupiter's orbit. This is the conjunc- 
 tion required for eclipses. For shadow-transits we require inferior true heliocentric conjunc- 
 tion ; finding it approximately, as directed above, we make our comparison of the Satellite's 
 
 * But note that before 1897 the practice was to refer it to the true equinox, and therefore the nutation with sign 
 reversed must be applied to the tabulated place. 
 
Introduction 
 
 longitude with that of Jupiter, increased or diminished by 180, and the complement is 
 determined in the same way as for superior conjunction. For occultations we require superior 
 geocentric conjunction, the position of the Earth being reduced to Jupiter's orbit. That is to 
 say, the longitude of the Satellite must be found as above, plus the annual parallax with its 
 natural sign, positive before Jupiter's opposition, negative after. The annual parallax (p) may 
 be computed from the data of the Nautical Almanac * by the formula? 
 
 sin \,=R sin X,/A sin^>=R t sin ( #)/ A cos \ e 
 
 where X, is Jupiter's heliocentric latitude, R his radius vector, and A his true distance from the 
 Earth, R, the radius vector of the Earth, 0, V- the longitudes of the Sun and Jupiter : in a 
 computing office it will be taken from the calculations of the geocentric places of the planet, 
 where it arises naturally. In either case it requires a reduction from the ecliptic to Jupiter's 
 orbit. 
 
 The formula? employed for the two reductions to Jupiter's orbit are the following, where 
 & denotes the longitude of the ascending node of Jupiter's orbit : 
 
 Reduction of Jupiter's Longitude from Ecliptic to Orbit, -\-2j"-o sin 2 ( Q) 
 
 Reduction of Annual Parallax from Ecliptic to Orbit, + 5"-2 cos D [sin 2 ( JX)+sin 2(# 
 
 These reductions are applied to the longitude of Jupiter, heliocentric or geocentric, before 
 comparing it with the longitude of the Satellite to determine the complement. 
 
 For transits of the disc across the planet's face the steps are the same, except that we 
 require inferior geocentric conjunction in place of superior, and must therefore compare the 
 longitude of the Satellite with that of Jupiter increased by 180 in addition to the annual 
 parallax. 
 
 Having thus found the true time of conjunction, the true time of the beginning or 
 ending of any defined phase of one of the phenomena of eclipse, occultation, shadow-transit 
 or disc-transit is obtained by applying to it two further equations, the so-named " Reduction to 
 Middle " and " Semiduration," the former of which is applied with its natural sign, while the 
 latter has a negative or a positive sign according as we seek to find ingress or egress. 
 
 REDUCTIONS TO MIDDLE OF ECLIPSE OR OTHER PHENOMENON 
 
 I find the following as the expressions which must be applied to true time of conjunction 
 upon Jupiter's orbit to reduce to the middle of the phenomenon : 
 
 SATELLITE I 
 
 
 
 Notation 
 
 
 
 
 
 No. 
 
 Argument 
 
 of 
 
 Eclipse 
 
 Occultation 
 
 Shadow 
 
 Transit 
 
 
 
 Tables 
 
 
 
 
 
 I 
 
 sin lh 
 
 K 
 
 d 
 0*000399 
 
 d 
 O-OOO399 
 
 d 
 
 0-000525 
 
 d 
 O-OOO525 
 
 2 
 
 sin (A.+A.) 
 
 P 
 
 'OOOOOy 
 
 -OOOOOy 
 
 -000009 
 
 -000009 
 
 3 
 
 sin (h +h,) 
 
 Q 
 
 -000003 
 
 -000003 
 
 -000003 
 
 '000003 
 
 4 
 
 sin 2^ I2 
 
 A 
 
 + -000035 
 
 + -000035 
 
 + -000035 
 
 + -000035 
 
 5 
 
 sin H, cos A 
 
 7, K 
 
 
 
 -000065 
 
 
 
 + -OOOO86 
 
 * It should be noted that the apparent longitude of the Sun is given, not the true ; hence in correcting it for any 
 fraction of a day (*), supplement x by O d -O0577, t^ 6 equation of light. 
 
Tables of the Four Great Satellites of Jupiter 
 
 SATELLITE II 
 
 
 
 Notation 
 
 
 
 
 
 No. 
 
 Argument 
 
 of 
 
 Eclipse 
 
 Occultation 
 
 Shadow 
 
 Transit 
 
 
 
 Tables 
 
 
 
 
 
 I 
 
 sin ihj 
 
 Q 
 
 d 
 
 0-000810 
 
 d 
 O'OOoSlO 
 
 d 
 0-001057 
 
 d 
 0-001057 
 
 2 
 
 sin (A '+O 
 
 R 
 
 -000264 
 
 -000264 
 
 -000301 
 
 -000301 
 
 3 
 
 sin (V+/V) 
 
 S 
 
 -000016 
 
 -000016 
 
 -OOOOlS 
 
 -OOOOlS 
 
 4 
 
 sin (V4AO 
 
 T 
 
 -000004 
 
 -000004 
 
 -000004 
 
 -000004 
 
 5 
 
 sin 2^/ 
 
 U 
 
 -000021 
 
 -OOOO2I 
 
 'OOOO2I 
 
 -OOOO2 I 
 
 6 
 
 sin (* 
 
 P 
 
 + -000019 
 
 -f- -000019 
 
 -000019 
 
 -000019 
 
 7 
 
 sin 2^ 23 
 
 A 
 
 4- -000061 
 
 4- -000061 
 
 -f- -OOOo6l 
 
 -f -OOOo6l 
 
 8 
 
 sin H, cos # 
 
 rQ 
 
 
 
 -000133 
 
 
 
 + "000174 
 
 SATELLITE III 
 
 
 
 Notation 
 
 
 
 
 
 No. 
 
 Argument 
 
 of 
 
 Eclipse 
 
 Occultation 
 
 Shadow 
 
 Transit 
 
 
 
 Tables 
 
 
 
 
 
 I 
 
 sin 2/& " 
 
 o 
 
 d 
 
 0*001567 
 
 d 
 0-001567 
 
 d 
 O'OO2O5O 
 
 d 
 
 0-002050 
 
 2 
 
 sin (Ao"+A.") 
 
 P 
 
 4- -000019 
 
 4- -000019 
 
 -f -000019 
 
 + -000019 
 
 3 
 
 sin (V'+A/') 
 
 Q 
 
 -000199 
 
 -000199 
 
 -000229 
 
 -000229 
 
 4 
 
 sin (A "+A 4 ") 
 
 R 
 
 -000039 
 
 -000039 
 
 -000045 
 
 -000045 
 
 5 
 
 sin 2A 3 " 
 
 S 
 
 -000008 
 
 -OOOOO8 
 
 -OOOOOS 
 
 -000008 
 
 6 
 
 sin (* w 3 ) 
 
 N 
 
 4- -000016 
 
 4- -OOOOl6 
 
 -OOOOl6 
 
 -000016 
 
 7 
 
 sin (* w ) 
 
 .. 
 
 4- -000003 
 
 -f- -000003 
 
 -000003 
 
 -000003 
 
 8 
 
 " g" 
 
 D 
 
 -j- -000008 
 
 -f- 'OOOOOS 
 
 -f- -000008 
 
 + -000008 
 
 9 
 
 sin H, cos A " 
 
 o,r 
 
 > 
 
 -000264 
 
 
 
 + -000345 
 
 SATELLITE IV 
 
 
 
 Notation 
 
 
 
 
 
 No. 
 
 Argument 
 
 of 
 
 Eclipse 
 
 Occultation 
 
 Shadow 
 
 Transit 
 
 
 
 Tables 
 
 
 
 
 
 i 
 
 sin aA '" 
 
 J 
 
 d 
 
 0-002834 
 
 d 
 0-002834 
 
 d 
 0-003832 
 
 d 
 
 0-003832 
 
 2 
 
 sin (*;"+*,'") 
 
 L 
 
 + -OO0068 
 
 -j- -000068 
 
 4- -000080 
 
 4- -000080 
 
 3 
 
 sin (*"'+ V') 
 
 K 
 
 -000627 
 
 -000627 
 
 -000728 
 
 -000728 
 
 4 
 
 sin 2/V" 
 
 M 
 
 -000035 
 
 -000035 
 
 -000035 
 
 -000035 
 
 5 
 
 sin (* wj 
 
 I 
 
 + -000050 
 
 4- -000050 
 
 -000050 
 
 -000050 
 
 6 
 
 sin (* to ) 
 
 .. 
 
 -000006 
 
 -000006 
 
 4- -000006 
 
 4- -000006 
 
 7 
 
 sin g ;" 
 
 E 
 
 + -000028 
 
 4- -000028 
 
 4- -000028 
 
 4- -000028 
 
 8 
 
 sin H, cos A c "' 
 
 J>7 
 
 
 
 -000537 
 
 
 
 4- -000726 
 
 The last line but one of each of these expressions is not strictly due to the geometrical 
 reduction to middle, but arises from acceleration of the Satellite's motion between conjunction 
 and commencement of the phenomenon. 
 
 In the tabulation of these expressions the terms of the equation of light marked (i) on 
 p. xxiv have been included. 
 
Introduction 
 
 SEMIDURATION OF ECLIPSE OR OTHER PHENOMENON 
 
 I find for the value of the semidiameter of Jupiter at mean distance iS'^gaj, and 
 consistently with this and with the values of the radii on p. xv the values of the coefficient of 
 the chief term of the semidurations of the phenomena are : 
 
 Sat. I Sat. II Sat. Ill Sat. IV 
 
 Eclipses, Occultations, o d 'O47957 o d -o6o36y o ll -oj6 i 26i o d - 101421 
 
 Shadows, Transits, o d< O479O4 0^060262 o d -oj6o$2 o d - 100932. 
 
 These values are measured from the moment when the centre of the Satellite is in line with 
 the rim of Jupiter and the centre of the Sun or the Earth as the case may be. 
 
 The chief variable argument of the semidurations is the quantity ,-. For eclipses 
 is given by the formulas of p. xvi. For occultations this is supplemented by a term 
 representing the jovicentric latitude of the Earth. Taking the inclination of the plane of 
 Jupiter's orbit at i^ogS and calling fl the longitude of its instantaneous ascending node upon 
 the ecliptic, I find for this term the following coefficients, multiplied into R : sin (0- a)/A 
 where R t is the geocentric distance of the Sun, and A the geocentric distance of Jupiter : 
 
 Sat. I Sat. II Sat. Ill Sat. IV 
 
 R, sin (O n)/A X 'i43 I2 7 -229003 '3 6 593 8 >6 43593- 
 
 This is to be applied to ,- as an additional equation, with its natural sign. For shadow- 
 transit the formula for eclipse must be used, but with all the coefficients increased in the 
 
 ratios : 
 
 Sat. I Sat. II Sat. Ill Sat. IV 
 
 1-00109 1-00173 1-00275 1-00485. 
 
 For transits of the disc the additional equation used for occultations must be applied, but 
 with the reversed sign, and all the coefficients must be increased as for shadows in the ratios 
 given above. 
 
 The meaning of ,- being thus defined, and a denoting the Variation as given on p. xv, 
 I find for the semidurations : 
 
 SATELLITE I 
 
 Eclipse Occultation 
 
 d 
 
 (1) 0-047957(1 , 2 ) J The same as for Eclipse 
 
 (2) +0-023782 X 2, (i2-o29 I 2 )(i I 2 )- } together with the term 
 
 (3) +0-000003 cos G (5) +o d -ooooo5 cos D. 
 
 (4) +0-000002 sin 3 2 k -\-o d -000002 sin 4 h 
 
 Shadow Transit 
 
 d 
 
 (6) 0-047904(1 ,")* The same as for Shadow 
 
 (?) +0-023756 X2 T (12-029^, 2 )(i /)'* together with the term 
 
 (8) 0-000042 cos 2 h ( i /)* (10) o d -ooooo5 cos D. 
 
 (9) +0-000002 sin 2 ih +0-000002 sin 4 h 
 
 SATELLITE II 
 Eclipse Occultation 
 
 d 
 
 (1) 0-060367 (i 2 2 ) J The same as for Eclipse 
 
 (2) +0-030145x2^ (i 2-01 i 2 )(i /)-* together with the term 
 
 (3) +0-000007 cos G (6) +o d -ooooiocosD(i /)"* 
 
 (4) [+0-000005 sm " 2^ '+o-ooooo4 sin 4 hf] X(i *)"* 
 
 (5) [+0-000004 sin 2/V sin (/&'+/&/) +0-000003 sin3 h l sin V] X(i ^ 2 )" } 
 
Tables of the Four Great Satellites of Jupiter 
 
 SATELLITE II continued 
 Shadow Transit 
 
 d 
 
 (7) 0-060262 (i 2 2 ) J The same as for Shadow 
 
 (8) +0-030092 X2 2 (i 2-01 1 , 2 )(i ")""* together with the term 
 
 (9) 0-000052 cos 2 A ' 0-000008 cos A ' cos A/x(i , 2 )* (12) o d -ooooio cos D (i , 2 )~* 
 (10) [+0-000005 sin 2 2^4-0-000004 sin 4 A ']x(i 2 ")~* 
 
 (n) [+0-000004 sin 2h ' sin (A '4-A/)4-O'OOOOO3 sin 3 A ' sin A/] X(i 2 2 )~* 
 
 SATELLITE III 
 
 Eclipse Occupation 
 
 d 
 
 (1) 0-076262 (i 3 2 )* The same as for Eclipse 
 
 (2) 4-0-038253 X2 3 (12-004 3 2 )(i 3 2 )"* together with the term 
 
 (3) 4-' OOOOI 7 cos G (6) 4- d ' OOOO2 cos D (i ^ 3 2 )"* 
 
 (4) [4-0-000016 sin 2 2 h" + o-oooo 1 5 sin 4 A "] x(i 3")'* 
 
 (5) [+0-000005 sin 2A " sin (A "4-A 3 ")4-o-ooooo5 sin 3 h" sin A,"] X(i ,*)-* 
 
 Shadow Transit 
 
 d 
 
 (7) 0-076052 (i 3 2 )* The same as for Shadow 
 
 (8) 4-0-038 148 X2 3 (12-004 ^/Xi^ 2 )-* together with the term 
 
 (9) 0-000064 COS' h" 0-000004 COS h" COS A 3 "X( I ,*)* ( I2 ) ~ O d 'OOOO2O COS D (i 3 2 )~* 
 
 (10) 4-0-000016 sin" 2A " 4-0-0000 1 5 sin 4 A "x(i fc^ 2 )' 1 
 
 (i i) [+0-000005 sin ih" sin (A "4-A 3 ")4-o-ooooo5 sin3 A." sin A 3 "] X (i ^ 3 2 )- J 
 
 When ^ 3 exceeds -55, I write {i (^ 3 + 8Q 2 } 4 in the terms (i), (7), and omit the terms 
 (2), (8), 8 3 being determined by 
 
 SATELLITE IV 
 
 Eclipse Occupation 
 
 A 
 
 (1) 0-101421 (i 4 2 )* The same as for Eclipse 
 
 (2) +0-051200x2^ (i 2-001 4 2 ) (i ^ 4 2 )" i together with the term 
 
 (3) 4-0-000050 cos G (6) +o d -oooo47 cos D (i ^ 4 2 )' } 
 
 (4) [4-0-000039 sin 2 2^ '" 4- 0-000040 sin 4 A '"]x(r ^ 4 *)"* 
 
 (5) [+0-000017 sin Ik?' sin (A "' + V) +0-00001 6 sin 3 A '" sin <"] X(i -')-* 
 
 Shadow Transit 
 
 d 
 
 (7) 0-100932 (i ^ 2 ) J The same as for Shadow 
 
 (8) +0-050960 X 2 4 (i 2-ooi^ 4 2 ) (i ^ 4 2 )" i together with the term 
 
 ( 9 ) [0-000076 cos 2 h"' 0-000007 cos h"' cos h"']x(i&y (12) 0^000047 cos D (i 4 2 )-* 
 (10) [4-0-000039 sin 2 2/V" +0-000040 sin 4 A"'] X(i 4 2 )~* 
 
 (i i) [4-0-00001 7 sin 2A "' sin (A '"+A 4 '")+o-ooooi6 sin 3 h '" sin A/"] X (i ^')'' 
 
 When ^ 4 exceeds 0-55, I reject the terms (2), (8) and also (4), (5), (9), (10), (n), and 
 write ( 4 + SQ 2 in place of 4 2 in (i), (7), where 
 
 (13) J= (- 
 
 ( 14 ) +[--00039 sin 2 2^ '"--ooo 4 o sin 4 ^'"--00017 sin 2A "' sin (A '"+A 4 '") 'OCX3i6 sin 3 A.'" sin A/ 
 (^5) +[+-00038 cos 2 A '" 4- -00004 cos A '" cos A/"] (i-^ 4 )^ 
 
 the last applying for Shadows and Transits only. 
 
Introduction 
 
 PHASE OF JUPITER 
 
 The phase of Jupiter affects the phenomena of transit, whether of the shadow or the disc, 
 cutting off either the beginning or the end. When the annual parallax is positive, that is to 
 say, when the geocentric longitude exceeds the heliocentric, the ingress of the shadow is 
 delayed and the egress of the disc is anticipated. When the annual parallax is negative, the 
 egress of the shadow is anticipated and the ingress of the disc is delayed.* We have a new, 
 diminished " Semiduration " and " Reduction to Middle " applicable to the phase affected, the 
 other phase following the formulas already exposed. 
 
 I find the following allowances : add to the semiduration an equation with argument 
 tan 2 // tan 2 i i, where/* is the annual parallax, and with coefficient 
 
 Sat. I Sat. II Sat. Ill Sat. IV 
 
 Equation of Semiduration, +o d -ooooi7 -j-o d< 000008 +o dg ooooo4 
 
 and diminish the calculated values of Semiduration and Reduction to Middle by the following 
 
 fractions of themselves : 
 
 Semiduration Reduction to Middle 
 
 Satellite I i cos />-f -0148 cos p sin*/) tan 2 p 
 
 II i cos />-f -0057 cos p sin 2 /) tan 2 /) 
 
 III i cos/>-f'oo22 cos/) sin 2 p tan 2 /) 
 
 IV i cos /)+ '0007 cos/) sin 2 /) tan 2 /) 
 
 PROGRESS OF AN ECLIPSE 
 
 An eclipse takes place gradually, and the time shown by the several equations already 
 considered indicates only a single definite phase of it, namely the point at which the centre of 
 the Satellite's disc is in line with the rim of Jupiter and the centre of the Sun's disc. If the 
 albedo of the Satellite is symmetrical about its centre, the brightness of it as a whole is then 
 diminished by one half, or its magnitude has risen by o m 'J$. The light curve which it follows 
 on either side of this point during the progress of eclipse depends among other factors upon the 
 diameter of the disc. The diameters which I find to correspond with the actual light-curves 
 of the eclipses used as material for these Tables, are the following, at Jupiter's mean distance : 
 
 Sat. I Sat. II Sat. Ill Sat. IV 
 
 Diameter of Disc, o"'9OO o"'796 I "'397 I "'34 I - 
 
 The standard light-curves which correspond to these, show the relation between magnitude 
 and a definite configuration, defined by the fraction or multiple of the Sun's radius which is cut 
 off by a line from the Satellite's centre touching Jupiter's rim. This fraction, denoted by /, is 
 zero at half-brightness, negative at full brightness, and positive in full eclipse.f The speed 
 with which this standard light-curve is described varies with the arguments of the Satellite's 
 position, and I find for the varying factor 
 
 multiplied by the following coefficients which express the motion in k for one second of time : 
 
 Sat. I Sat. II Sat. Ill Sat. IV 
 
 Motions in k for one second, '04587 -02285 >OII 34 '00486. 
 
 The sign is positive for disappearances and negative for reappearances. 
 
 * At the limb of Jupiter the shadow unaffected by phase will appear elongated in the direction of Jupiter's orbit, but 
 when affected by phase it will be foreshortened in the same direction. 
 
 t "Disappearance," as defined by Laplace, corresponds to the phase k=i. 
 
Tables of the Four Great Satellites of Jupiter 
 
 This motion strictly applies to the moment of half-brightness only, and is subject to 
 acceleration for other phases. The acceleration is insensible for Satellites I, II ; for Satellites 
 III, IV it has been taken from the formulae 
 
 Sat. Ill Sat. IV 
 
 k >A* = -0067 -0125 X(/A* ) a /(i >). 
 
 But as we do not explicitly meet with the co-ordinate k, but only a light-curve involving 
 magnitude and time, I have tabulated for these two Satellites not the single curve which shows 
 the relation between the configuration k and the magnitude m, but a succession of curves 
 showing for different values of 2 the relation of m and a quantity proportional to the time, viz. 
 M/ , which I call (/) ; here t is the number of seconds elapsed since half-brightness and A O is 
 the motion in k per second at that instant, as given by the formulae on p. xxiii. 
 
 THE EQUATION OF LIGHT 
 
 We have now shown how to calculate the true time of each phenomenon. It remains to 
 show how to find the apparent time by applying the Equation of Light. 
 
 With solar parallax 8"- 800, the time taken by light to traverse unit distance is 49 8 s - 5 65 
 = o dt oo57704, and if we take out from the Nautical Almanac the logarithm of the true 
 geocentric distance of Jupiter at the time of approximate conjunction, we derive immediately 
 the chief part of the equation. It is subject to the following corrections : (i) in eclipses and 
 occultations it is increased, and in shadows and transits diminished, by the constant time taken 
 to describe the radius vector of the Satellite's orbit ; this has the following values : 
 
 Sat. I Sat. II Sat. Ill Sat. IV 
 
 o d -ooooi6 o d> oooo26 o d -oooo4i 0^000072. 
 
 (2) during the passage of light across Jupiter's orbit the position of the Earth has changed, 
 diminishing the distance before Jupiter's opposition and increasing it after by an amount 
 + o d -ooooo3 sin D, which is the same for all the satellites ; (3) the actual moment when the 
 distance from Jupiter to the Earth is wanted, is not the time of conjunction, but the same 
 diminished or increased by the semiduration ; the effect of recognising this is the same as 
 increasing the semiduration by a fraction of itself equal to -000091 sin D, which may be 
 taken at the following values : 
 
 Sat. I Sat. II Sat. Ill Sat. IV 
 
 Coefficient of sin D : -f-o d -000004 +o d -ooooo5 (i 2 ) j +o d -ooooo7 (i ')* +o d -ooooo9 (i 4 2 ) J . 
 
 The sign of this equation is the natural sign of sin D. The first of these corrections is 
 united with the reduction to middle for each Satellite and the third with the semiduration. 
 
 I have now explained all the formulas upon which the calculations are based, and I shall 
 proceed to show how these are reduced to tables. 
 
 ARRANGEMENT OF THE TABLES 
 
 In the tables that follow, tabulation constants have been applied in the usual manner, 
 adding such quantities to the minor equations as make them always positive and subtracting 
 the sum of these from the main equation. The quantity so applied is noted at the foot of 
 each table. But where an equation or group of equations is liable to be sometimes applied and 
 sometimes not, it is necessary to treat it in a different way from those which are applied in 
 
Introduction 
 
 every case. Such a group is illustrated by the annual parallax of Jupiter, which applies for 
 geocentric conjunction, but not for heliocentric. In these cases it has not been possible to 
 banish negative signs altogether from the tables ; the minor equations of the group have been 
 made positive, and the sum of the constants used subtracted from the chief equation ; the 
 group must then be applied, or not, as a whole, recognising the natural sign which it shows. 
 When any or all of the letters E., O., S., T., are shown in prominent connection with any of 
 the tables, they indicate that phenomenon to which that table applies. 
 
 The differences employed throughout are upon the line, and each is equal to the mean of 
 the preceding and following interlinear differences. Where second differences are sensible they 
 will follow the formula 
 
 /(+*)=/()+* A +**' A % 
 
 and the quantity shown in the second-difference-column is ^ A 2 . Hence the rule will be, for the 
 interval x : Correct the first difference-entry by x times the second-difference-entry which stands 
 opposite to tf, and apply x times this corrected quantity to the chief entry. 
 
 It has often appeared convenient to give the value of the difference A which corresponds 
 to a fraction only of the interval between successive tabulations of the argument. Thus the 
 latter interval may be, say, 2 d ; but A , as may be seen at the head of its column, will measure the 
 change in i d . We then ask, what fraction of i d not of 2 d is the interval x, and multiply 
 this fraction into A. In the tables where second differences appear, the quantity tabulated as 
 ^A 2 has been modified agreeably, so that the rule for their use is that which is given above, 
 unchanged. For example, taking from Table XXII of Satellite I, 
 
 K 
 
 Equation 
 
 A 
 
 d -ooi 
 
 IA* 
 
 d 
 
 
 
 
 OT55 
 
 0-03255 
 
 i3S 
 
 -KIO 
 
 'I 6O 
 
 3190 
 
 12,5 
 
 ,10 
 
 and noting that the comma ( , ) is placed to the right of the place where the last digit of the 
 equation would stand, to take out the equation for argument -15731, multiply 2-31 into +,io 
 add and to A, giving 13,3; multiply 2-31 into 13,3 giving product 31; and the 
 required equation is 0-03224. 
 
 An attempt has been made to mitigate the waste of effort arising from our irregularly 
 divided units by employing within the compass of the tables only the decimal of a day and the 
 decimal of a degree. To help the conversion from hours, minutes and seconds of time and 
 minutes and seconds of arc, and conversely, short auxiliary tables have been added at the end 
 (Tables CVI-CIX). 
 
 To simplify the corrections of the numerous arguments for fractions of a day, the known 
 device has been employed of tabulating the value of the- argument under the form time elapsed 
 from its zero-point ; thus, for example, to take out the values of arguments corresponding to 
 Apr. i7 d> 2383oo, we write -238300 upon a slip, and carrying it along the line where the 
 arguments are given for Apr. i7 d< o, add it to each entry, and write down the sum as the 
 extract required. A disadvantage of this plan is that when the complete period of the 
 argument is exceeded, it must be deducted, and it is as a rule more trouble to deduct an 
 irregular decimal of a day than 360. It is done with least trouble by writing or printing 
 (say in brackets) the complement of the period of each argument at the place where the 
 argument is to stand, and adding this in, or not, as may be required. But to make it less 
 
Tables of the Four Great Satellites of Jupiter 
 
 frequently necessary, the calculation of each table is carried somewhat beyond a complete period 
 of its argument to such a distance as the size of the page may allow. 
 
 As already explained, the tables of each Satellite fall into three portions : first, Approximate 
 Tables, showing the times of true conjunction, and designed as a guide in computing eclipses 
 and the other phenomena ; second, complete Tables of Longitude, Latitude and Radius Vector, 
 giving the place of the Satellite at any specified time with all necessary accuracy ; and third, 
 Tables of the Phenomena, showing how to derive the true time of occurrence of any of these 
 from a known time of true conjunction upon Jupiter's orbit. Besides these tables which belong 
 to each Satellite in particular, there are Auxiliary Tables whose use is common to all. These 
 show the reductions of the Annual Parallax and Jupiter from the ecliptic to Jupiter's orbit, 
 the equation of light, and the conversion of h m s to decimals of a day, of ' " to decimals of a 
 degree, and conversely. I proceed to describe these different portions in detail. 
 
 SATELLITE I 
 
 APPROXIMATE TABLES OF CONJUNCTION 
 
 Table I. Column I shows the year, leap year being indicated by *. Column 2 shows 
 the true date of superior heliocentric conjunction of the Satellite and Jupiter, the Satellite's 
 place being taken at its mean, but Jupiter's place being corrected for his chief perturbations, 
 specified above (p. xvii). Column 3 shows the further effect which these perturbations would 
 have in anticipating or retarding conjunctions at a later part of the same year ; it must be 
 applied to the entry of column 2. Column 4 shows under the name of argument a, and in 
 terms of days elapsed since its zero-value, the value of the angle G + G defined on p. xii. 
 Column 5 shows under the name /8 the value of the angle D defined on p. xii. Column 6, 
 argument y, gives the value of the angle G, of p. xii. Column 7, argument S, gives zd l2 . 
 Column 8, argument e, gives h . The values are those which belong to the times given in 
 column 2, allowing for the application of certain tabulation constants which are specified in the 
 margin of the table. If inferior heliocentric conjunction is wanted, the half synodic period 
 o d- 8849 must be written upon a slip and added to each entry as it is taken out. The period of 
 each argument is given at the foot of its column. 
 
 Table II shows the days of the year occupied in any complete number of synodic 
 revolutions. These dates refer to ordinary years ; they must be diminished in leap year by 
 i d after Feb. 28. Columns 3, 4, 5 give the corresponding motions of the arguments. The 
 entries are to be added to those of Table I. The arguments a, /3, y are now complete ; S, c 
 must be corrected further by applying to them the equation to argument a (Table III), which 
 measures the time by which conjunction is anticipated or retarded owing to Jupiter's equation 
 of the centre, and also, when geocentric conjunction is in question, by the annual parallax from 
 Tables IV, V, VI. 
 
 The equation of Table III represents the terms +5'528 sin (G + SG) + o'i67 sin 
 2 (G + SG), reduced to time as explained on p. xvii, and must be applied to the entries of 
 columns 7, 8 of Table I as well as to the time of mean conjunction taken from column 2. 
 
 Tables IV, V, VI taken together give the Annual Parallax, p. As this group of equations 
 has not always to be applied, its natural sign remains. Tables V, VI have been rendered 
 positive, but IV may be either positive or negative. The three must be taken as a whole and, 
 to find geocentric conjunction for occultations and transits, must be applied to the time of 
 mean heliocentric conjunction (col. 2) and to the arguments 8, e (cols. 7, 8) of Table I. p is 
 
Introduction 
 
 wanted also as argument for phase effects upon shadows and transits (Table LI). For eclipses 
 p and the argument y are not wanted. 
 
 Table IV represents the first line of the expression for p on p. xvii. 
 
 Table V is a table of double entry, with arguments /8, a, representing the second line of 
 the same. 
 
 Table VI is a table of double entry, with arguments /8, y, and represents the third line of 
 the same. 
 
 Tables VII, VIII give equations, with arguments S, e, which represent the terms of 
 Satellite I on p. xviii. When these are applied to the time of conjunction, its correction is 
 complete, and the sum of the various entries gives approximately the time of true conjunction, 
 heliocentric or geocentric, superior or inferior. 
 
 TABLES OF LONGITUDE, RADIUS VECTOR AND LATITUDE 
 
 Table IX shows in column 2 the mean longitude of Satellite I at the beginning of each 
 year, less a tabulation constant o'6oooo. Columns 319 give the corresponding values of the 
 arguments A Q required for correcting it and for finding the radius vector and latitude. 
 
 The significance of these arguments is given on pp. xiii, xvi. The period of each argument is 
 given at the foot. All are expressed in days, except J, which refers to long-period inequalities ; 
 for this the year is used. 
 
 Table X shows the motions of the same quantities for each day of the year. After Feb. 
 28 in leap years the date in column i must be diminished by a unit. The correction of the 
 motion of the arguments (cols. 3-16) for the fraction of a day is made on this table by writing 
 the fraction upon a slip and adding it to the entry as it is taken out,* but for mean longitude 
 (col. 2) the correction is made by Table XI. This table gives the motions of mean longitude 
 from o d> oi to i d> oo and from o d> oooi to o d> oioo. To take out from the latter the motion, 
 say for 0^007358, we take the correction for ^0058, divide it by 100 and apply it to that for 
 o d 'oc<73 ; this step may be done mentally. 
 
 Tables XII XXIV give the equations for reducing the Satellite's mean longitude to true 
 longitude upon Jupiter's orbit. The expressions included under each argument are shown 
 above, p. xiii. The equations must be taken out as they stand and applied to the mean longitude. 
 
 Tables XXV-XXIX must be taken as a single group ; the first carries the sign + or , 
 the others have all been rendered positive. Together they represent the expressions of p. xv, 
 which measure 2(r l ja l i) or the doubled variation of the radius vector of the Satellite 
 projected upon Jupiter's equator compared to its mean, or again, with sufficient accuracy, the 
 corresponding variation of the motion of the Satellite in longitude, if the sign is reversed. The 
 entries of Tables XXV XXIX must be taken out as they stand, preserving the natural sign of 
 the first. Their sum is the quantity called below the Variation and appearing as an argument 
 in Table XLIV and elsewhere. 
 
 Tables XXX-XXXIV represent the expressions of p. xvi, with a positive constant added to 
 each, the sum of these additions being '40000. Their sum is the quantity called the Latitude 
 below, and appears again as an argument of Table XXXVII which shows the corresponding 
 angle of the radius vector of the Satellite above Jupiter's orbit, and also in Tables XL, XLIV, 
 LIII for eclipses. 
 
 Table XXXV is a direction for modifying the latitude as taken for Tables XXX-XXXIV 
 
 * But in correcting J it must be remembered that the unit is a year, and the fraction must be divided by 365. See 
 also a remark on p. xxviii relative to the correction of Arg. K. 
 
Tables of the Four Great Satellites of Jupiter 
 
 in consequence of the jovicentric latitude of the Earth, in accordance with the expressions of 
 p. xxi. The expression follows the natural sign of sin(0 ft) for occultations, but the reversed 
 sign for transits. The values of R t , A and must be taken from the Nautical Almanac ; the 
 value of o reproduced from Hill's Tables of Jupiter, p. 144, is shown in Table C. 
 
 Table XXXVI shows a further correction to the latitude for shadows and transits in 
 agreement with the statements on p. xxi. 
 
 The corrections from Tables XXXV, XXXVI must be applied in the appropriate cases to 
 the latitude derived from Tables XXX-XXXIV before the latter is used as an argument for 
 semiduration of any phenomenon other than eclipse in Tables XL, XLI. 
 
 TABLES OF THE PHENOMENA 
 
 The first thing required is the exact moment of true conjunction upon Jupiter's orbit, as 
 explained upon p. xviii. The approximate time is indicated by Tables I-VIII. The true 
 longitude of the Satellite at this moment is taken from Tables IX-XXIV. The longitude of 
 Jupiter at the same moment, upon the ecliptic, referred to the mean equinox, is taken from 
 the Nautical Almanac*, and is corrected by applying to it the entry of Table CI, which 
 is reproduced from Hill's Tables of Jupiter, p. 144. When it is a question of occultations or 
 transits, the annual parallax upon the ecliptic must also be computed by the formulae of p. xix, 
 reduced to Jupiter's orbit by Tables CII, CIII, and added with its natural sign to the reduced 
 longitude of Jupiter. The resulting angle must be converted to decimals of a degree by 
 Table CVI, and its excess determined above the longitude of the Satellite at the same time. 
 Tables XXXVIII, XXXIX show the equivalent of this excess in time, or the Complement 
 which must be applied with its natural sign to derive the exact time of true conjunction from 
 the approximate time which Tables I-VIII have indicated. Tables XXXVIII, XXXIX 
 assume the Satellite to have its mean motion ; to correct for the true motion it is only 
 necessary to multiply the entries of these tables by the Variation as taken from Tables XXV 
 XXIX, but for Satellite I this correction is seldom sensible. f 
 
 Tables XL XLIV form a group expressing the semiduration in agreement with the 
 formulae of p. xxi. The argument of Table XL is the latitude as derived from Tables XXX- 
 XXXVI or such of these as are applicable. Column 2 shows the value of the main term for 
 eclipses and occultations, numbered (i) on p. xxi ; column 4 shows the correction that is to 
 reduce it to the value (6) of p. xxi which is appropriate to shadows and transits. Table XLI 
 gives the value of the terms (4) on the left and (8), (9) on the right. Table XLII gives the 
 term (3) ; this term is sensible only for eclipses and occultations, hence the equation of this table 
 preserves its natural sign. 
 
 Table XLIII represents the terms (5) and (10) together with a certain term properly 
 belonging to the equation of light and due to the motion of the earth pending the semi- 
 duration of the phenomenon which is given as (3) on p. xxiv. Table XLIV is a table of 
 double entry representing the terms (2) or (7), the difference between which is insensible. 
 Its arguments are Latitude and Variation. This completes the group ; then the sum of the 
 equations from Tables XL XLIV being found, it must be applied to the exact time to true 
 conjunction with a negative sign for the ingress of the phenomenon and a positive sign for 
 
 * At the same time the logarithm of Jupiter's true distance from the Earth is taken out for use as argument in 
 Table CIV. 
 
 t For perfect accuracy the complement may also be applied as a correction to Argument K before the latter is used 
 to determine the latitude. 
 
 zxviii 
 
Introduction 
 
 egress. But it must be noted that for shadows and transits one or other of these cases is first 
 liable to a further correction for phase by Table LI, as explained below. 
 
 The next group of tables gives the reduction from conjunction to the middle of the duration 
 of the phenomenon. Tables XLV L form this group. Table XLV shows to left and right of 
 the argument the values of line i of the expressions given on p. xix. With these are united 
 constant portions of the equation of light denoted by (i) on p. xxiv. The natural sign of 
 the entry must be preserved. The second, third and fourth lines of the same expression are 
 given in Tables XLIX, L, XLVIII, the entries in which have been made positive. The 
 fifth line is represented by the Tables XLVI, XLVII. These are alternatives, and as each 
 applies to one phenomenon only the entries appear with their natural signs ; they are tables 
 of double entry, with arguments K, y. Having formed the sum of the equations of the group 
 XLV-L, so far as they apply, we add it with its natural sign to the time of conjunction, but 
 it should first be corrected for the unequal motion of the Satellite by adding to it its product 
 by the variation, in the cases when this product is sensible. It is also liable to correction for 
 either ingress or egress of shadows and transits owing to phase. Table LI shows the correc- 
 tions that must be applied on this account both to semiduration and to reduction. When the 
 annual parallax p is positive, that is, before Jupiter's opposition to the Sun, the corrections 
 apply to shadow ingress and transit egress ; when p is negative they apply to shadow egress and 
 transit ingress. Table LI follows the formula of p. xxiii. Column i shows the additional 
 equation of the semiduration, to be included with those of Tables XL-XLIV. Columns 3, 5 
 show the fractions by which the semiduration and reduction that have been calculated must 
 be diminished before applying these quantities to the time of conjunction as directed above. 
 
 Tables LII, LIII, LIV show the light-curve of eclipse in agreement with the formulas of 
 p. xxiii. Table LII gives the standard curve. The observed light-curve, in which magnitude 
 and time in seconds are the co-ordinates, may be reduced for comparison with this by enter- 
 ing Table LIII with latitude as argument, correcting the entry from Table LIV, and multiplying 
 into the observed time the value of the motion of the standard co-ordinate k per second which 
 is thus found. When the observed light-curve is thus made comparable with the standard curve, 
 the correction which the observation shows to an ephemeris derived from these tables will be 
 indicated by that value of k in the observed light-curve, which corresponds to k = o in the 
 standard curve. 
 
 SATELLITE II 
 
 The tables of Satellite II follow the same general plan as those of Satellite I, and their 
 description may therefore be somewhat compressed. 
 
 APPROXIMATE TABLES OF CONJUNCTION 
 
 The description and use of these tables is identical with that given for Satellite I, changing 
 only the value of the half synodic period to \ A -JJJO, and the arguments designated by 8, e to 
 2</ 23 , 2/i ', as stated on p. xviii. 
 
 TABLES OF LONGITUDE, LATITUDE AND RADIUS VECTOR 
 
 These tables again follow closely the corresponding tables for Satellite I. The arguments 
 run from A to Z, and their significance is shown on pp. xiii, xvi. The long period inequalities, 
 with which is included the Annual Equation with argument G + SG, are tabulated under the 
 years, all the others are expressed in days. In Table X the correction for the fraction of a day 
 
Tables of the Four Great Satellites of Jupiter 
 
 is made as for Satellite I by an adding slip, except for the mean longitude, which is provided 
 for in Table XI. The equations of longitude, arising from the various arguments, are shown 
 in Tables XII XXXII, of which the last five relate to the reduction to Jupiter's orbit. After 
 the longitude comes the group of equations, XXXIII XXXVI, which represent the expression 
 2(r 2 ja 2 i) given on p. xv. The first member of this group has a sign + or ; the others are 
 positive. The sum of this group of equation is termed the Variation, and appears as argument 
 in Table LVI, and elsewhere for converting mean motion into true. Tables XXXVII XLIV 
 represent the expressions of p. xvi, together with tabulation constants amounting in all to -70000. 
 Their sum is termed the Latitude, and appears again as argument of Table XLVII, which shows 
 the corresponding inclination to Jupiter's orbit of the radius vector to the Satellite. Tables 
 XLV, XLVI show how to modify it for the purposes of occultations, shadows and transits. 
 With or without these additions, as may be proper, it appears again as argument of Tables L, 
 LIU, LVI for finding the semiduration of eclipse or other phenomenon, and in Table LXVIII 
 for finding the rate of progress in the standard light-curve in eclipse. In respect to Table XLV, 
 which allows for the jovicentric latitude of the Earth, the remarks on p. xxviii in connection 
 with Satellite I apply unchanged. 
 
 TABLES OF THE PHENOMENA 
 
 The plan of these tables is the same as for Satellite I ; the true longitude of the Satellite 
 having been found at the approximate time of conjunction given by Tables I VIII, it must be 
 compared with the true longitude of Jupiter at the same instant heliocentric for eclipse and 
 shadow, geocentric for occultation and transit. The computations that are necessary for this 
 comparison are stated on p. xxviii and need not be repeated here. The excess of the longitude 
 of Jupiter over that of the Satellite gives the complement, in angle, and Tables XLVIII, XLIX 
 show how to convert this into time in proportion to the mean synodic motion ; and the 
 complement in time, with its natural sign, and increased by its product by the Variation 
 (Tables XXXIII XXXVI), in order to allow for the difference of true synodic motion from 
 the mean, applied to the adopted approximate time of conjunction, gives the exact time. This 
 is conjunction in longitude, upon Jupiter's orbit. We then have two groups of tables (Tables 
 LVII LXV) containing the terms of reduction from conjunction to the middle of the 
 phenomenon of eclipse, or whatever it may be, and Tables L LVI containing the semiduration 
 or portion applicable with opposite sign according as we seek the phenomenon of ingress or 
 egress. Taking the latter group first, we next take the Latitude as argument (Tables 
 XXXVII-XLI V, with XLV, XLVI) ; it is supposed in the theory that this is taken out at the 
 exact time of conjunction ; hence for perfect accuracy, before the latitude is derived, the 
 complement in time should be added to the values of the arguments Q-Z, which otherwise 
 stand for the approximate time only given by Tables I VIII. With the latitude so found we 
 enter Table L ; in this table column 2 represents line (i) of p. xxi, being the main part of 
 the semiduration for eclipses and occultations ; column 4 represents the correction required 
 for shadows and transits in order to pass from line (i) to line (7), p. xxii. Table LI, argument 
 a, represents line (3) ; this term is wanting in the theory of shadows and transits, hence it 
 appears in the tables with its natural sign and no tabulation constant. Table LII, argument /3, 
 represents a term of the equation of light, given on p. xxiv. Table LIU, with arguments 
 /3 and the latitude, represents the terms (6) and (12) which apply only to occultations and 
 transits and therefore figure here with their natural signs. Tables LIV, LV are alternative ; 
 the former applies to eclipses and occultations and represents the terms (4), (5) together ; the 
 latter applies to shadows and transits, and represents the terms (9), (10), (n). Finally, Table 
 
Introduction 
 
 LVI, of which the arguments are Latitude and Variation, represents the terms (2) or (8), no 
 distinction being made between these. The formulae would differ from one another by little 
 more than a unit at maximum in the sixth place of decimals, or say by o s< i ; and it may be 
 remarked here that for the satisfactory working of these tables, fastidious accuracy in the last 
 decimal place is not essential, and may sometimes be relaxed without loss. 
 
 The expressions for Reduction to Middle are given on p. xx. Table LVI I represents 
 No. i, with argument Q. The tabulation constants applied to render positive the other 
 members of the group amounting to o d -ooc>46i, are subtracted from it. A portion of the 
 equation of light amounting to o dl oooo26, is also applied here. Tables LVIII-LXIII 
 represent the expressions numbered 2, 7, 6, 3, 4, 5 respectively ; number 8, which applies 
 with different values for occultations and transits and to these phenomena only, is represented 
 by Tables LXIV, LXV, which are tables of double entry, with argument Q, y, and must be 
 applied with their natural signs. The sum of the equations for the Reduction must be 
 corrected by adding to it its product by the Variation. 
 
 Table LXVI contains the corrections for Jupiter's phase which apply to shadows and 
 transits and are shown on p. xxiii ; the argument is the Annual Parallax, />, derived from 
 Tables IV, V, VI. The equation in column i must be added to the semiduration as found in 
 Tables L-LVI, and the sum must be diminished by applying to it its product by the 
 factor in column 3 ; similarly, the reduction drawn from Tables LVII-LXV must be modified by 
 applying to it its product by the factor in column 5. The corrected semiduration and reduc- 
 tion apply to the phenomenon which is affected by phase only, while for the opposite phenomenon 
 the uncorrected values apply. The progress of an eclipse is calculated from Tables LXVII 
 LXIX. The first gives the standard light-curve corresponding to diameter o" f j()6, in terms of 
 magnitude and the co-ordinate k ; the second gives the relation between k and time, for 
 different values of the Latitude ; the third, a correction to the second due to the Variation. 
 
 SATELLITE III 
 
 The general arrangement is the same as for Satellite I, to which reference may be made 
 for details which it is needless to repeat. 
 
 APPROXIMATE TABLES OF CONJUNCTION 
 
 The arrangement is the same as that for Satellite I, save only that the arguments 
 8 , e , , r? , are those so named on p. xviii, and replace everywhere the two arguments that 
 figured in Satellite I, and the equation of Table III must be applied as a correction to the 
 arguments /3, -y, as well as to the other entries of Table I. 
 
 TABLES OF LONGITUDE, LATITUDE AND RADIUS VECTOR 
 
 These tables also follow closely the arrangement for Satellite I. The significance of the 
 arguments A V of Table XI is shown on p. xiv, xvi. The long period inequalities do not 
 include for this Satellite the annual equation with argument G + S G. This equation has a 
 separate argument, a ; but it may be noted that if we are calculating one of the phenomena 
 with the help of the Approximate Tables, a has already been found, and then column 16 of 
 Table XI may be passed over. The corrections of the arguments for days elapsed from the 
 beginning of the year are shown in Table XII. For all except the mean longitude the 
 correction for the fraction of a day is made in the same table by means of an adding slip ; for 
 the mean longitude it is made by means of Table XIII. Tables XIV-XXXII give the 
 
Tables of the Four Great Satellites of Jupiter 
 
 equations of longitude which are recorded on p. xiv, each supplemented by a tabulation constant 
 which is recorded at the foot of the table. The equations of Tables XXXIII XXXVI taken 
 together represent the formula of p. xv which represents ^(r^ > \a 1> i). The four equations form 
 a group, the tabulation constants of the last three being deducted from the first, which in 
 consequence is always negative. Their sum is the so-called Variation, which appears again as 
 argument of Tables XLVIII, L and elsewhere for converting mean motion into true. Tables 
 XXXVII XLII form a group which represents the expression of p. xvi, augmented by the 
 sum of its tabulation constants, viz. by i-ooooo. Their sum is the so-called Latitude, which 
 reappears first as the argument of Table XLV, which shows the corresponding angle above 
 Jupiter's orbit of the radius vector to the Satellite. 
 
 Tables XLIII, XLIV show corrections to be applied to the sum of the equations of Tables 
 XXXVII XLII for occultations, transits and shadows. Table XLIII is used as explained 
 on p. xxvii. The Latitude, with or without these corrections as may be proper, is then used 
 as argument in the Tables of the Phenomena for finding the semiduration of eclipse or other 
 phenomenon, and the rate of progress of eclipse. 
 
 TABLES OF THE PHENOMENA 
 
 The plan of these tables is generally the same as that for Satellite I, but there are certain 
 differences. Tables XLVI, XLVII show the time taken to describe any given angle with the 
 mean synodic motion, and the corresponding time with the true synodic motion is found by 
 adding to this result its product by the Variation as taken from Tables XXXIII-XXXVI the 
 natural sign of the Variation being regarded. They are used like the corresponding tables of 
 Satellites I, II, as explained on pp. xxvii, xxx, for finding the exact time of true conjunction 
 from a comparison of the longitudes of Jupiter and the Satellite at an assumed approximate time. 
 The correction, the so-called Complement, must be added, with its natural sign retained, to the 
 approximate time, and also, for full accuracy, to the arguments O, S before these are used to 
 derive the Latitude which is the argument of the following tables. When the exact time of 
 true conjunction has been found, three quantities must be applied to it : the Reduction to the 
 Middle of the phenomenon, the Semiduration of the phenomenon, and the Equation of Light. 
 For the last of these, see Tables CIV, CV below. The second of them is contained in the 
 group of tables XLVIII-LV, which represent the formula? of p. xxii, together with the 
 term of the equation of light (3) given on p. xxiv. Table XLIX a, b, represents in column 2 
 the leading term (i) of p. xxii, which is converted into (7) by the entry of column 4. The 
 second portion, XLIX b, the argument of which is the latitude in its lower values from 0-450 
 to i '550, is corrected by Table L, with arguments Latitude and Variation, for the terms 
 (2) or (8) of p. xxii, just as the corresponding correction is made for Satellites I, II ; but for 
 higher latitudes this method is inexact, and in place of adding an equation to the semiduration, 
 we correct the latitude as derived from Tables XXXVII XLIV, before using it as argument 
 in Table XLIXrf, by the term 8 3 which is given on p. xxii. This Correction of High Latitudes 
 is given in Table XLVIII. This difference of method for high and low latitudes involves a 
 difference in the tabulation constants of Tables XLIX a and b, that of the former being 
 o d- oooioo and of the latter o d> ooo5oo. Table LI represents the term (3) of p. xxii. 
 This term is present only in eclipses and occultations. Table LII represents the term of the 
 equation of light, + 0^000007 ( r ~^3 2 ) 4 s ^ n D given on p. xxiv. This applies to all the 
 phenomena. The arguments are the Latitude and /8, which represents D. With the same 
 arguments a term, (6) and (12) of p. xxii, is present in occultations and transits only. This is 
 
Introduction 
 
 given in Table LIII, with a natural sign, which must be regarded. The remaining terms of 
 p. xxii, (4) and (5) are given in Table LIV, and (9), (10), (i i) in Table LV. In the case of 
 transits and shadows there are further equations depending on Jupiter's phase, described below, 
 under Table LXV. The semiduration as corrected by these various equations must be added 
 to or subtracted from the time of conjunction which has already been found, according as we 
 seek egress or ingress of the phenomenon. 
 
 The next group of equations the Reductions to Middle are given in Tables LVI 
 LXIV, which represent the formula? of p. xx, together with the term which gives the 
 correction (i) to the equation of light given on p. xxiv. This is included in Table LVI, 
 which as to its variable part represents the term (i) of p. xx. The sum of tabulation constants 
 which make the remaining terms positive has been subtracted from this table, and natural sign 
 of the equation must be regarded. The terms 2-5 are represented by Tables LVII-LX, the 
 terms 6, 7 by Table LXII, the term 8 by Table LXI, and the term 9 by Tables LXIII, LXIV. 
 Table LXIII applies to occultations only, Table LXIV to transits only ; hence they are given 
 with their natural signs. The sum of the equations of the reduction from Tables LVI to 
 LXIV must be corrected by its product by the Variation, and for shadows and transits by 
 Table LXV also, and the whole applied, with its natural sign, to the time of true conjunction 
 already found. 
 
 Table LXV gives the corrections for Jupiter's phase, which are enumerated on p. xxiii. 
 These apply to shadows and transits only. The argument of the tables is the annual parallax 
 of Jupiter, p, which is derived from the Approximate Tables IV, V, VI. The rule which 
 governs the application of the equations according as p is positive or negative is given at 
 the foot of the table. Column i of Table LXV must be applied, subject to this rule, directly 
 to the semiduration drawn from Tables XLIX-LV ; column 3 gives a factor which multiplied 
 into the semiduration gives a final correction to be applied to it, and column 5 a corresponding 
 factor to be multiplied into the reduction as drawn from Tables LVI LXIV to get the 
 correction for phase of this quantity. It will be noticed that for transits only ingress or only 
 egress is affected by phase, the other phenomena following the rules already given and ignoring 
 Table LXV. The same is true of shadow-transits. Tables LXVI LXVIII give the progress 
 of an eclipse in accordance with the rules of pp. xxiii, xxiv. With any given latitude Table 
 LXVI gives a light-curve, which shows the rise of magnitude /, with the progress of a quantity 
 (k} Q which is proportional to the time and which vanishes at half-brightness. The rate at 
 which () varies with the time is found from Table LXVII, in which the argument is 
 Latitude, and Table LXVIII, which corrects the last for the Variation. 
 
 SATELLITE IV 
 
 There is no material variation at any point between the arrangements of the tables of 
 Satellites III and IV. 
 
 The Approximate Tables represent the formulas of pp. xvii, xviii, and are to be used in 
 the same way as for Satellite III. 
 
 In the Tables of Longitude, Latitude and Radius Vector, pp. xiv, xvi give the designation 
 of the arguments which figure in Tables IX, X ; p. xiv shows also the values of the inequalities 
 tabulated in Tables XII-XXV. The expressions on p. xv show the values of the entries of 
 Tables XXVI XXIX which together make up the Variation or 2 (rja^ i), and p. xvi shows 
 the terms of Latitude which are given in Tables XXX-XXXVI. In the first of these tables, 
 with argument J, i.e. h '", the term numbered 3 on p. xvi, with argument ^ "'-2A, has been 
 included, since the motion of 2A is so small over the period for which these tables run as to be 
 
Tables of the Four Great Satellites of Jupiter 
 
 here negligible. The sum of all the constants added in Tables XXX-XXXVI is 1-50000,50 
 that the limits of eclipse, 4 = i, correspond respectively to latitudes 2-50000 and 0*50000. 
 Table XXXVII represents the term of p. xx, applicable to occultations and transits, Table 
 XXXVIII the correction of p. xxii for shadows and transits, and Table XXXIX the inclina- 
 tion of the radius vector of the Satellite to Jupiter's orbit, which corresponds to the sum of 
 the equations given by Tables XXX-XXXVI. 
 
 In the Tables of the Phenomena which follow, Tables XL, XLI require no additional 
 remark ; they are to be used like the corresponding tables for the other Satellites. The next 
 two tables follow the plan of the corresponding table of Satellite III, and are designed to avoid 
 the imperfect convergence of the corrections (2), (4), (5), (8), (10), (i i) of p. xxii to the semi- 
 duration as 4 approaches the values + i or - i. It is accomplished by omitting these terms 
 and adding to 4 a compensating correction. This method is used from 4 = + i to ^ = ^-55, 
 i.e. from latitude 0*50 to 0-95, and from latitude 2*50 to 2*05. Table XLII represents the 
 term (13) of p. xxii, with arguments Variation and Latitude; Table XLIII the terms (14), 
 with arguments M, J, i.e. hj", h"' \ and Table XLIV the terms (14), (15) together; the 
 former applying to eclipses and occultations only, the latter to shadows and transits. It will 
 be noticed that the term (15) represents (9), which is not liable to any objection on the 
 count of convergency, but as it runs with the same arguments as (10), (11) it is included 
 in the same treatment with them, a course which presents no difficulties. The table of the 
 main term of the semiduration which follows breaks into two portions, to correspond with 
 the break in the treatment of 4 . For latitudes between 0*50 and 0-95 and between 2-50 and 
 2-05, corrected by the equations of Tables XLII and XLIII or XLIV, Table XLVa gives 
 the value of term (i) of p. xxii in column 2, and term (7) of the same page, by applying the 
 correction of column 5. To this table no constant has been applied on account of the terms 
 dealt with under Tables XLII-XLIV. Table XLV< is the continuation of the same table 
 for the remaining range of latitude. It is to be used in conjunction with the tables which 
 follow and represent the terms (2), (4), (5), (8)-(n) of p. xxii. Of these Table XLVI, 
 with arguments Variation and Latitude, represents the term (2) or (8), which do not differ 
 sensibly for the range of 4 that occurs. This table may be considered as complementary to 
 Table XLII, one or the other applying in every case, but XLII treating the term considered 
 by a correction to 4 , while XLVI treats it as an addition to the semiduration. Table XLVII, in 
 the same way, is complementary to Table XLIII, and represents the terms (4), (5) of p. xxii, 
 which apply to eclipses and occultations, while Table XLVIII, applying to shadows and 
 transits, represents terms (9), (10), (n), which were dealt with in the other range of 
 latitude by Table XLIV. Constants have been applied to render the equations of Tables 
 XLVI-XLVIII positive, and their sum is of course removed from the entries of Table XLV. 
 Three small equations follow. Table XLIX represents the term (3) of p. xxii ; this term 
 appears only in eclipses and occultations, and so is given without added constant, and there- 
 fore with its natural sign. Table L represents the term arising from the equation of light 
 which is given on p. xxiv, and Table LI the terms (6), (12) of p. xxii, which apply to 
 occultations and transits only ; the convergence of this last table becomes faulty at the 
 limits of latitude, but not to a degree that can be considered important for these phenomena. 
 
 The tables which follow, LII-LX, give the Reduction to Middle for the several 
 phenomena and represent the formulas of p. xx. They require no special comment. To the 
 first of them a constant portion of the equation of light has been added, in accordance with 
 p. xxiv. Their sum will appear with a natural sign, which must be preserved, and is to be 
 corrected by adding to it its product by the Variation. 
 
Introduction 
 
 The corrections for Jupiter's Phase which follows Table LXI is used as for the other 
 Satellites, but in this case the additional equation of semiduration is insensible, as shown on 
 p. xxiii. 
 
 The several elements of time of true conjunction, reduction to middle, semiduration, 
 and equation of light having been calculated, the apparent time of each phenomenon is found 
 as for the other Satellites. 
 
 The tables of the phenomena conclude with tables specifying the rate of progress of an 
 eclipse in agreement with the formula? of pp. xxiii, xxiv. With any latitude Table LXII 
 gives a light-curve, which shows the rise of magnitude m with the progress of (K) Q which is 
 proportional to the time, its motion per second being given by Table LXIII corrected by 
 Table LXIV. 
 
 AUXILIARY TABLES 
 
 These tables are common to all the Satellites and have been almost sufficiently described 
 incidentally. A little repetition must be tolerated. 
 
 Tables C, CI are derived from Hill's Tables of Jupiter ^ p. 144, and give the reduction of 
 Jupiter's ecliptic longitude to his orbit. The formula is given above, p. xix. In the same 
 place the formula is given for Tables CII, CIII, which show how to reduce to Jupiter's orbit 
 annual parallax computed upon the ecliptic. 
 
 Table CIV shows the main part of the equation of light, tabulated with the logarithm 
 of Jupiter's true distance from the earth at the time of conjunction as argument. The minor 
 portions of the equation are enumerated on p. xxiv ; of these (i) and (3) have been included 
 in Tables XLV, XLIII respectively for Satellite I, and the corresponding tables for the other 
 satellites ; Table CV gives the value of (2). The remaining tables hardly need description. 
 Table CVI shows the conversion of ' " into decimals of a degree. Table CVII makes the 
 opposite conversion. Tables CVIII, CIX, in the same way, convert decimals of a day 
 into h m s and back again. 
 
 This completes the description of the tables ; it only remains to illustrate their use by 
 examples. 
 
 XKXV 
 
Tables of the Four Great Satellites of Jupiter 
 
 EXAMPLES OF THE USE OF THE TABLES 
 
 The following examples illustrate the use of the tables for finding the longitude, latitude 
 and radius vector of a Satellite at any given time, and also the times of ingress and egress of 
 all the phenomena. The rate of progress of an eclipse is also calculated, as this is required for 
 deducing from a set of photometric observations the instant of half-brightness. 
 
 In calculating the sequence of phenomena which occur in a single revolution of the 
 Satellite eclipse, occultation, shadow-transit, transit of disc, the arguments may be derived 
 from one another with only a single reference to the tables, but the equations belonging to 
 these arguments must be taken out independently, since the periods are for the most part 
 short and the equations go through large changes in short intervals of time, nor is it admissible 
 to calculate, say, the eclipses, and then interpolate in some manner for the other phenomena. 
 But it is legitimate, when a continuous sequence of eclipses, etc., is required, to calculate, say, 
 for Satellite I every fourth eclipse only in full, and interpolate the eclipses intermediate between 
 these, and similarly for the occultations and the other phenomena. 
 
 The tables of longitude recognise all inequalities of which I find the coefficient of 
 longitude to amount to i" or over. This is equivalent in the times of the phenomena to the 
 following amounts : for Satellite I o s> i2, for Satellite II o s> 24, for Satellite III 0^48, for 
 Satellite IV i s *i2. A rule of about the same rigour in point of time is applied to the 
 equations which enter through the latitude. Hence while the tabulation runs for all four 
 Satellites to o df oooooi, i.e., to o s *o864, and is correctly made up to that point for all the terms 
 properly included, it is by no means complete to that point for Satellite IV and even for 
 Satellite III. It may be remembered then that for these two Satellites the last digit in 
 tables of time cannot be insisted upon, and is to be regarded merely as a guard-figure ; 
 this will facilitate interpolations, especially in the tables of double entry. 
 
 Among the accessory quantities which are found with the help of the Nautical Almanac, 
 the longitude of Jupiter (y.) is given as reduced to Jupiter's orbit by Table CI, and referred to 
 the mean equinox ; the Sun's longitude () is its true place, referred to the mean equinox ; 
 the annual parallax (f) is reduced to Jupiter's orbit by Tables CII, CIII. 
 
 The longitude of the Satellite which is found is referred to Jupiter's orbit ; the radius 
 vector is for Jupiter's mean distance ; the angle corresponding to the latitude is above 
 Jupiter's orbit. The complement has been added as a correction to the arguments of latitude 
 before the latitude was taken out. 
 
 SATELLITE I 
 
 The examples calculated are the six phenomena : 1909 June i, Occultation Disappearance; 
 June 2, Transit Ingress, Shadow Ingress, Transit Egress, Shadow Egress ; June 3, Eclipse Re- 
 appearance. Incidentally they show how to find the longitude, latitude and radius vector, since 
 the exact values of these are required at the approximate times of conjunction. 
 
Introduction 
 
 SATELLITE I APPROXIMATE CONJUNCTIONS: 1909 JUNE i, 2, 3 
 
 Superior Geoc. Inferior Geoc. Inferior Helioc. Superior Helioc. 
 
 
 Arguments 
 
 Equations 
 
 Argu- 
 ments 
 
 Equations 
 
 Argu- 
 ments 
 
 Equations 
 
 Argu- 
 ments 
 
 Equations 
 
 I 
 II 
 
 (5667-4) 
 1670*5 a 
 
 152-2 1822-7 
 
 IV 
 
 V 
 VI 
 
 -0641 
 
 9 1 
 
 23 
 
 a 
 
 1823-6 
 
 IV 
 V 
 VI 
 
 -0640 
 
 9 1 
 
 23 
 
 u 
 1823-6 
 
 IV 
 
 V 
 VI 
 
 Ibid. 
 
 a 
 
 1824-5 
 
 IV 
 V 
 
 VI 
 
 
 
 I 
 II 
 
 (60I-I2) 
 341-64 ft 
 152-21 94-97 
 
 p -0527 
 
 ft 
 
 95-85 
 
 p -0526 
 
 ft 
 
 95-85 
 
 p -0526 
 
 ft 
 
 96-72 
 
 p 
 
 I 
 II 
 III 
 p 
 
 VII 
 VIII 
 
 0680 
 1-2080 
 
 423 
 527 
 1 1 
 4 
 
 I 
 II 
 III 
 p 
 
 VII 
 VIII 
 
 | 2-1609 
 
 423 
 526 
 
 49 
 5 
 
 I 
 II 
 III 
 p 
 
 VII 
 VIII 
 
 - 2-1609 
 
 423 
 
 46 
 
 5 
 
 \ 
 
 II 
 III 
 
 p 
 
 VII 
 VIII 
 
 3^458 
 422 
 
 
 14 
 5 
 
 I 
 II 
 
 (634-7) 
 
 3 6 3'5 7 
 152-2 150-4 
 
 7 
 
 ji'3 
 
 7 
 iji'3 
 
 7 
 
 
 1 
 II 
 111 
 
 t 
 
 (8-237) 
 1-760 
 613 
 42 i 
 
 53 0-599 
 
 i 
 
 1-484 
 
 i 
 
 l'537 
 
 i 
 
 0-659 
 
 I 
 II 
 III 
 
 t 
 
 (8-23) 
 
 '93 
 6 
 
 4 
 - 5 0-98 
 
 6 
 
 O-O9 
 
 e 
 
 0-14 
 
 e 
 1-03 
 
 June 1-2671 
 
 June 2-1560 
 
 June 2-2083 
 
 June 3-0899 
 
 The numbers in ( ) are the complements of the periods of the arguments, thus for 
 argument ft, in place of subtracting 398 d- 88, we add 6oi d> i2, when it is necessary. The 
 arguments for Inferior Geocentric Conjunction are got from those for Superior Geocentric 
 Conjunction by adding o d- 8849 to eacn > an d do not involve a fresh reference to the tables ; 
 similarly, those for Superior Heliocentric are derived from Inferior Heliocentric ; the latter are 
 the same as for Inferior Geocentric, except that in S, e the parallax p (- 0^053), which was 
 applied, must be removed. 
 
 ACCESSORY QUANTITIES, DRAWN MAINLY FROM Nautical Almanac 
 
 Table C ft 
 
 99 32''4 
 
 99 32'-4 
 
 
 
 5> 
 
 
 
 70 35' 3o"'5 
 
 7i 26' 34 "-i 
 
 
 
 
 
 logR, 
 
 006169 
 
 006224 
 
 
 
 
 
 log A 
 
 7334io 
 
 734528 
 
 734594 
 
 735698 
 
 y. 
 
 1 66 42' 2 4 "- 3 
 
 1 66 46' 28"-6 
 
 1 66 46' 43 "-o 
 
 1 66 50' 45"'3 
 
 P 
 
 -10 44 ' i7"- 9 
 
 -10 43' 35"'7 
 
 
 
 
 
 To compare) 
 with Sat. \ 
 
 i55'9 68 44 
 
 i56-048o3 
 
 i667786i 
 
 i66-84592 
 
 XXXV Jovic. Lat. 
 
 -01299 
 
 -01260 
 
 M 
 
 
 
Tables of the Four Great Satellites of Jupiter 
 
 SATELLITE I LONGITUDE, LATITUDE AND RADIUS VECTOR 
 
 1909 
 
 June I '267100 
 
 June 2'i56ooo 
 
 June 2'2o83OO 
 
 June 3 '089900 
 
 
 Arguments 
 
 Longitude 
 
 Argu- 
 ments 
 
 Longitude 
 
 Argu- 
 ments 
 
 Longitude 
 
 Argu- 
 ments 
 
 Longitude 
 
 IX 
 X 
 
 IX 
 X 
 
 IX 
 X 
 
 IX 
 X 
 
 IX 
 X 
 
 IX 
 X 
 
 IX 
 X 
 
 IX 
 X 
 
 IX 
 X 
 
 IX 
 X 
 
 (6-47454) 
 I '68954 A 
 67217 2-36171 
 
 IX 
 X 
 
 x,{ 
 
 XII 
 XIII 
 XIV 
 XV 
 XVI 
 XVII 
 XVIII 
 XIX 
 XX 
 XXI 
 XXII 
 XXIII 
 XXIV 
 
 
 
 130-31800 
 
 330-32685 
 52-90714 
 
 I -44477 
 88068 
 
 1 20 
 1089 
 
 706 
 63 
 
 1394 
 625 
 
 1435 
 
 744 
 444 
 4366 
 84 
 50 
 
 A 
 3-25061 
 
 IX 
 X 
 
 { 
 
 XII 
 XIII 
 XIV 
 XV 
 XVI 
 XVII 
 XVIII 
 XIX 
 XX 
 XXI 
 XXII 
 XXIII 
 XXIV 
 
 130-31800 
 173-81584 
 
 30-52335 
 1-22093 
 8726 
 542 
 109 
 298 
 
 339 
 1400 
 621 
 1425 
 745 
 444 
 4267 
 
 83 
 52 
 
 A 
 3-30291 
 
 IX 
 X 
 
 x,{ 
 
 XII 
 XIII 
 XIV 
 XV 
 XVI 
 XVII 
 XVIII 
 XIX 
 XX 
 XXI 
 XXII 
 XXIII 
 XXIV 
 
 130-31800 
 173-81584 
 40-69780 
 1-68896 
 14234 
 551 
 
 79 
 
 37i 
 360 
 1400 
 621 
 1425 
 745 
 444 
 3296 
 76 
 61 
 
 A 
 0-65905 
 
 IX 
 X 
 
 | 
 
 XII 
 XIII 
 XIV 
 XV 
 XVI 
 XVII 
 XVIII 
 XIX 
 XX 
 XXI 
 XXII 
 XXIII 
 XXIV 
 
 130-31800 
 17-30483 
 
 16-27912 
 2-01454 
 
 8095 
 327 
 
 1119 
 632 
 
 40 
 1405 
 
 6,7 
 
 1416 
 
 746 
 
 444 
 3338 
 77 
 61 
 
 (7-650) 
 1-102 B 
 
 1-847 0-599 
 
 B 
 
 1-488 
 
 B 
 1-540 
 
 B 
 2-422 
 
 (8-229) 
 
 0-325 C 
 1-773 '3 2 7 
 
 C 
 i -216 
 
 
 1-268 
 
 C 
 0-379 
 
 (8-231) 
 0-626 D 
 1-885 0-742 
 
 D 
 
 1-631 
 
 D 
 1-683 
 
 D 
 
 0796 
 
 Comp'. 
 XXXVIII 
 
 Var". 
 
 1 55 -98864 
 
 -02020 
 
 o" 1 -000099 
 
 H 
 
 Comp'. 
 XXXVIII 
 Var. 
 
 336 -06863 
 o -02060 
 
 Qd'OOOIOI 
 1 1 
 
 Comp'. 
 XXXVIII 
 Var". 
 
 346 -75723 
 
 +0 -02 1 38 
 
 +o d -000105 \ 
 
 I J 
 
 Comp'. 
 XXXVIII 
 
 Var. 
 
 166 -82866 
 
 +0 -01726 
 +o d -000085 
 H 
 
 (8-231) 
 0-990 E 
 1-889 mo 
 
 E 
 1-999 
 
 E 
 
 0-282 
 
 E 
 1-164 
 
 (598-84) 
 110-31 
 152-27 262-58 
 
 F 
 263-47 
 
 F 
 263-52 
 
 F 
 264*40 
 
 (542-33) 
 32-46 G 
 152-27 184-73 
 
 Variation 
 
 G 
 185-62 
 
 Variation 
 
 G 
 185-67 
 
 Variation 
 
 G 
 
 186-55 
 
 Variation 
 
 (517-70) 
 50-46 
 152-27 202-73 
 
 H 
 203-62 
 
 H 
 203-67 
 
 H 
 204-55 
 
 XXV 
 XXVI 
 XXVII 
 XXVIII 
 XXIX 
 
 + -00397 
 13 
 
 16 
 
 12 
 
 XXV 
 XXVI 
 XXVII 
 XXVIII 
 XXIX 
 
 00495 
 
 IO 
 
 14 
 
 8 
 
 XXV 
 XXVI 
 XXVII 
 XXVIII 
 XXIX 
 
 00617 
 IO 
 12 
 
 3 
 9 
 
 XXV 
 XXVI 
 XXVII 
 XXVIII 
 XXIX 
 
 + 00544 
 
 9 
 8 
 
 17 
 ii 
 
 514-41) 
 436-53 I 
 152-27 103-21 
 
 I 
 104-10 
 
 I 
 104-15 
 
 I 
 105-03 
 
 J 
 1909-417 
 
 Rad. Vec. 
 
 + -00445 
 1 12" -03 
 
 J 
 1909-420 
 
 Rad. Vec. 
 
 00459 
 
 IIl"'52 
 
 J 
 1909-420 
 
 Rad. Vec. 
 
 -00583 
 iii"'46 
 
 J 
 1909-422 
 
 Rad. Vec. 
 
 + 00589 
 
 II2"-II 
 
 IX 
 X 
 
 IX 
 X 
 
 IX 
 X 
 
 IX 
 X 
 
 IX 
 X 
 
 IX 
 X 
 
 IX 
 X 
 
 (8-23086) K 
 85876 10 1 
 1-89039 0-98001 j" 
 
 K 
 
 -101 
 
 1-86891! 
 
 K 
 
 + 101 
 
 1-92121! 
 
 K 
 +91 
 '03367! 
 
 (8-232) 
 875 L 
 : '989 i "096 
 
 L 
 1-985 
 
 L 
 0-269 
 
 L 
 1-151 
 
 Latitude 
 
 Latitude 
 
 Latitude 
 
 Latitude 
 
 (8-231) 
 1-513 M 
 1-914 1-658 
 
 M 
 0-778 
 
 M 
 0-830 
 
 M 
 1712 
 
 XXX 
 XXXI 
 XXXII 
 XXXIII 
 XXXIV 
 XXXV 
 XXXVI 
 
 23744 
 9 6 
 
 108 
 9 
 4525 
 1299 
 
 M 
 
 XXX 
 XXXI 
 XXXII 
 XXXIII 
 XXXIV 
 XXXV 
 XXXVI 
 
 46747 
 508 
 189 
 42 
 4525 
 1260 
 
 '3 
 
 XXX 
 XXXI 
 XXXII 
 XXXIII 
 XXXIV 
 XXXV 
 XXXVI 
 
 52440 
 544 
 I7i 
 44 
 4525 
 
 M 
 
 '9 
 
 XXX 
 
 XXXI 
 XXXII 
 XXXIII 
 XXXIV 
 XXXV 
 XXXVI 
 
 I787I 
 ill 
 
 6 
 
 4525 
 
 M 
 
 It 
 
 (8-23) 
 0-98 N 
 1-90 ni 
 
 N 
 
 2 4 OO 
 
 N 
 0-28 
 
 N 
 1-16 
 
 (8-2) 
 0-7 O 
 i -9 o'o 
 
 O 
 
 0-9 
 
 O 
 0-9 
 
 
 
 O'O 
 
 XXXVII 
 
 27183 
 -i-o538 
 
 XXXVII 
 
 53284 
 +i-098 9 
 
 XXXVII 
 
 57743 
 
 +I'62I 3 
 
 XXXVII 
 
 22587 
 -i'5929 
 
 (9-116) 
 0-867 p 
 1-056 0-155 
 
 p 
 
 0-160 
 
 P 
 
 0-212 
 
 P 
 
 0-210 
 
 (9-12) 
 0-30 Q 
 i -02 0-44 
 
 Q 
 0-45 
 
 Q 
 0-50 
 
 Q 
 0-50 
 
Introduction 
 
 SATELLITE I PHENOMENA, 1909 JUNE i, 2, 3 
 
 Occultation, Dis. Transit, Ing. and Eg. Shadow, Ing. and Eg. 
 
 Eclipse, Re. 
 
 Semidurations 
 
 XL 
 XL1 
 XLII 
 XLIII 
 XLIV 
 
 LI 
 
 i 
 0-047261 
 
 45 
 - 3 
 10 
 
 354 
 
 d 
 0-047I79 
 
 9 
 
 10 
 144 
 
 d 
 0-046844 
 
 J 5 
 
 
 10 
 
 118 
 
 d 
 0*046924 
 46 
 
 - 3 
 
 10 
 
 384 
 
 0-047667 
 
 
 0-047342 Eg. 
 
 15 
 846 
 
 0*046987 Ing. 
 
 J 5 
 840 
 
 0-047361 
 
 0-046511 Ing. 
 
 0-046162 Eg. 
 
 Reductions to Middle 
 
 XLV 
 XLVI 
 XLVII 
 XLVIII 
 XLIX 
 L 
 Var". 
 
 LI 
 
 0-000284 
 -29 
 
 
 
 62 
 
 4 
 
 5 
 i 
 
 0-000408 
 
 
 -37 
 7 
 4 
 5 
 
 2 
 
 0-000530 
 
 
 
 
 10 
 
 3 
 6 
 
 3 
 
 0-000384 
 
 
 58 
 3 
 6 
 
 2 
 
 0-000243 
 
 
 0-000427 Eg. 
 + 16 
 
 0-000508 Ing. 
 + 19 
 
 0-0003 1 9 
 
 0-000411 Ing. 
 
 0-000489 Eg. 
 
 Apparent Times of the Phenomena 
 
 CIV, CV 
 
 Approx. 
 Comp 1 . 
 Semidur". 
 Reduction 
 
 CIV, CV 
 
 Approx. 
 Comp'. 
 Semidur". 
 Reduction 
 
 CVIII 
 LIII, LIV 
 
 d 
 0-03I237 
 I-267IOO 
 
 99 
 
 47667 
 
 243 
 
 d 
 
 0-031317 
 2-156000 
 
 IOI 
 
 -46511 
 411 
 
 d 
 O-O3I322 
 2-2O83OO 
 IO4 
 -46987 
 508 
 
 
 
 d 
 O-O3I4OI 
 3-089900 
 
 85 
 
 473 6l 
 
 - 7 T Q 
 
 
 47023 
 
 47495 *^ 
 
 June 1-250328 
 
 June 2-140294 
 
 0-031317 
 2-156000 
 
 IOI 
 
 47342 
 
 June 2-192231 
 
 0-031322 
 2-208300 
 104 
 46162 
 
 A fin 
 
 
 
 4^7 
 rofi <- , , 
 
 459 
 
 r Rn t . 
 
 J 1 7 
 
 528 
 
 49 
 
 d h m s 
 
 Oc. Dis. June i 6 o 28-3 
 
 June 2-234131 
 
 d h m s 
 
 Tr. Ing. June 2 3 22 1-4 
 
 Eg- 5 37 8'9 
 
 June 2-285399 
 
 d h m s 
 
 Sh. Ing. June 2 4 36 48-8 
 Eg. 65058-5 
 
 June 3-168428 
 
 d b m s 
 
 Eel. Re. June 342 32-2 
 A per sec. -0450 
 
Tables of the Four Great Satellites of Jupiter 
 
 SATELLITE II 
 
 The phenomena calculated are the following: 1892 Sep. 6, Eclipse Disappearance; 
 Sep. 8, Shadow Ingress, Transit Ingress, Shadow Egress, Transit Egress ; Sep. 10, Occultation 
 Reappearance. 
 
 Superior Helioc. 
 
 Inferior Helioc. 
 
 Inferior Geoc. 
 
 Superior Geoc. 
 
 
 Arguments 
 
 Equations 
 
 Argu- 
 ments 
 
 Equations 
 
 Argu- 
 ments 
 
 Equations 
 
 Argu- 
 ments 
 
 Equations 
 
 I 
 II 
 
 (5667-4) 
 4128-9 a 
 24^8 4377-7 
 
 IV 
 V 
 VI 
 
 
 
 
 
 a 
 
 4379'5 
 
 IV 
 V 
 VI 
 
 + 305 
 241 
 
 138 
 
 a 
 
 4379'5 
 
 IV 
 V 
 VI 
 
 + 35 
 241 
 
 138 
 
 a 
 438I-3 
 
 IV 
 V 
 VI 
 
 + 274 
 240 
 
 J 39 
 
 I 
 II 
 
 (601-12) 
 117-70 ft 
 248-79 366-49 
 
 p 
 
 ft 
 
 368-27 
 
 p + -0684 
 
 ft 
 
 368-27 
 
 p + -0684 
 
 ft 
 
 370-05 
 
 p + '0653 
 
 I 
 II 
 III 
 
 f 
 
 VII 
 VIII 
 
 1-8046 
 4-7866 
 838 
 
 
 212 
 
 53 
 
 I 
 II 
 III 
 p 
 
 VII 
 VIII 
 
 3-5816 
 4-7866 
 840 
 
 9 1 
 53 
 
 1 
 II 
 III 
 
 p 
 
 VII 
 VIII 
 
 3-5816 
 4-7866 
 840 
 + 68 4 
 1 02 
 
 53 
 
 I 
 II 
 III 
 
 p 
 
 VII 
 VIII 
 
 5-3587 
 4-7866 
 841 
 + 653 
 196 
 52 
 
 I 
 II 
 
 (634'7) 
 0-5 7 
 248-8 249-3 
 
 7 
 251-1 
 
 y 
 
 251-1 
 
 y 
 
 252-9 
 
 I 
 II 
 III 
 f 
 
 (6-475) 
 1*090 
 
 2-004 
 084 
 ... 3-178 
 
 s 
 
 1-430 
 
 1 
 
 ?+68 
 1-430 
 
 3 
 
 />+-o65 
 
 3-207 
 
 1-498 
 
 3-272 
 
 I 
 II 
 III 
 
 p 
 
 (6-45) 
 
 0-32 
 
 20 
 08 e 
 O-6o 
 
 e 
 
 2-38 
 
 P + l 
 2-38 
 
 P + 1 
 4-16 
 
 Sept. 6-7015 
 
 Sept. 
 
 8-4666 
 
 2-45 
 
 Sept. 8-5361 
 
 4-23 
 
 Sept. 10-3195 
 
 ACCESSORY QUANTITIES 
 
 Table C & 
 
 99 22''2 
 
 99 22''2 
 
 99 22''2 
 
 99 22 /- 2 
 
 
 
 II 
 
 
 
 1 66 4 / 5"- 9 
 
 i 68 31' io"5 
 
 logR, 
 
 
 
 
 
 002878 
 
 002678 
 
 log A 
 
 615489 
 
 613759 
 
 613692 
 
 612015 
 
 V- 
 
 16 37' 2 5 "'7 
 
 1 6 47' 8"-7 
 
 1 6 47' 3 i"-6 
 
 1 6 57' 20"- 8 
 
 P 
 
 
 
 
 
 1 _0 ,,/ 0/1 ".. 
 
 +7 2 24 4 
 
 + 6 43' 28"- 5 
 
 To compare) 
 with Sat. \ 
 
 i6-6238o 
 
 i6- 7 8575 
 
 23'83222 
 
 2 3 -68o 3 6 
 
 XLV Jovic. Lat. 
 
 > 
 
 
 
 + 05180 
 
 + 05261 
 
Introduction 
 
 1892 
 
 SATELLITE II LONGITUDE, LATITUDE AND RADIUS VECTOR 
 
 September 6701500 September 8 '466600 September 8-536100 
 
 September 10-319500 
 
 
 Arguments 
 
 Longitude 
 
 Argu- 
 ments 
 
 Longitude 
 
 Argu- 
 ments 
 
 Longitude 
 
 Argu- 
 ments 
 
 Longitude 
 
 IX 
 X 
 
 IX 
 X 
 
 IX 
 X 
 
 IX 
 X 
 
 IX 
 X 
 
 IX 
 X 
 
 IX 
 X 
 
 IX 
 X 
 
 IX 
 X 
 
 IX 
 X 
 
 IX 
 X 
 
 IX 
 X 
 
 IX 
 X 
 
 IX 
 X 
 
 IX 
 X 
 
 IX 
 X 
 
 IX 
 X 
 
 IX 
 X 
 
 IX 
 X 
 
 IX 
 X 
 
 IX 
 X 
 
 IX 
 X 
 
 IX 
 X 
 
 IX 
 X 
 
 IX 
 X 
 
 (2-94907) 
 2-79360 A 
 3-91905 6-71265 
 
 IX 
 X 
 
 x,{ 
 
 XII 
 XIII 
 XIV 
 XV 
 XVI 
 XVII 
 XVIII 
 XIX 
 XX 
 XXI 
 XXII 
 XXIII 
 XXIV 
 XXV 
 XXVI 
 XXVII 
 XXVIII 
 XXIX 
 XXX 
 XXXI 
 XXXII 
 
 161-18720 
 143-69042 
 70-96233 
 15206 
 46191 
 64 
 no 
 
 243 
 6496 
 
 2964 
 1736 
 1048 
 
 8955 
 3100 
 
 Si 
 37 
 36 
 74 
 61 
 
 3555 
 900 
 196 
 14 
 6 
 
 IOI 
 
 A 
 i -42682 
 
 IX 
 X 
 
 x,{ 
 
 XII 
 XIII 
 XIV 
 XV 
 XVI 
 XVII 
 XVIII 
 XIX 
 XX 
 XXI 
 XXII 
 XXIII 
 XXIV 
 XXV 
 XXVI 
 XXVII 
 XXVIII 
 XXIX 
 XXX 
 XXXI 
 XXXII 
 
 161-18720 
 346-43994 
 46-63239 
 66907 
 1-65934 
 107 
 89 
 1769 
 744 
 
 1708 
 1065 
 8952 
 3128 
 
 5' 
 29 
 368 
 109 
 
 21 
 3550 
 820 
 
 218 
 
 14 
 
 6 
 
 105 
 
 A 
 I '49632 
 
 IX 
 X 
 
 x,{ 
 
 XII 
 XIII 
 XIV 
 XV 
 XVI 
 XVII 
 XVIII 
 XIX 
 XX 
 XXI 
 XXII 
 XXIII 
 XXIV 
 XXV 
 XXVI 
 XXVII 
 XXVIII 
 XXIX 
 XXX 
 XXXI 
 XXXII 
 
 O 
 
 161-18720 
 
 346-43994 
 5372862 
 60825 
 I -54540 
 
 102 
 
 99 
 
 1695 
 5" 
 69 
 1707 
 1066 
 
 8952 
 3129 
 
 57 
 3 
 380 
 lit 
 
 18 
 
 3550 
 1441 
 9t 
 17 
 
 82- 
 
 A 
 3 '27972 
 
 IX 
 X 
 
 x,( 
 
 XII 
 XIII 
 XIV 
 XV 
 XVI 
 XVII 
 XVIII 
 XIX 
 XX 
 XXI 
 XXII 
 XXIII 
 XXIV 
 XXV 
 XXVI 
 XXVII 
 XXVIII 
 XXIX 
 XXX 
 XXXI 
 XXXII 
 
 O 
 
 161-18720 
 189-18946 
 31-42618 
 0-96306 
 61724 
 24 
 
 100 
 
 313 
 
 6712 
 2926 
 
 1679 
 1083 
 8948 
 3157 
 
 s ! 
 
 26 
 
 16 
 57 
 
 63 
 3546 
 1524 
 81 
 18 
 4 
 79 
 
 (5'49) 
 3'99 B 
 2-59 2-07 
 
 B 
 3-4 
 
 B 
 3 -90 
 
 B 
 1-18 
 
 (6-44) 
 3'55 C 
 1-73 172 
 
 C 
 3 '49 
 
 C 
 3'55 
 
 C 
 1-78 
 
 (6-447) 
 i -023 D 
 2-004 3-027 
 
 D 
 1-239 
 
 D 
 1-309 
 
 D 
 3-092 
 
 (6-4486) 
 I '9940 E 
 2*1019 0-5445 
 
 E 
 2-3096 
 
 E 
 2-379I 
 
 E 
 o-6r.ii 
 
 (6-449) 
 
 2-415 F 
 2-115 0-979 
 
 F 
 2 744 
 
 F 
 2*814 
 
 F 
 1-046 
 
 (S98-84) 
 319-82 G 
 250-70 169-36 
 
 G 
 171-13 
 
 G 
 171-19 
 
 G 
 172-98 
 
 (542-33) 
 230-91 H 
 25070 23-94 
 
 H 
 2571 
 
 H 
 2577 
 
 H 
 27-56 
 
 (5 ! 77) 
 1 1 1 -38 I 
 250-70 362-08 
 
 Comp*. 
 XLVIII 
 Var". 
 
 16 -75139 
 
 -o -12759 
 o* '001260 \ 
 
 +20) 
 
 I 
 363-85 
 
 Comp*. 
 XLVIII 
 Var". 
 
 196 -81678 
 
 o-03io3 
 o d -000306 \ 
 -5J 
 
 I 
 
 363 - 9i 
 
 Comp*. 
 XLVIII 
 
 Var". 
 
 203 -74063 
 
 +o -091 59 
 +0* "000904 \ 
 
 +I5/ 
 
 I 
 36570 
 
 Comp 1 . 
 XLVIII 
 Var. 
 
 23" -68728 
 
 o" -00692 
 oi -000068! 
 
 -H/ 
 
 (S'4'40 
 54-61 J 
 25070 305-31 
 
 307-08 
 
 J 
 307-14 
 
 3o8'93 
 
 (S-2 3 ) 
 0-63 K 
 i -24 I -87 
 
 K 
 
 1-87 
 
 K 
 0-16 
 
 K 
 '95 
 
 (6-50) 
 1-04 L 
 2-31 3'35 
 
 L 
 172 
 
 L 
 
 178 
 
 L 
 
 3'57 
 
 Variation 
 
 Variation 
 
 Variation 
 
 Variation 
 
 (6-500) 
 0-082 M 
 
 2-2IO 2'292 
 
 M 
 0-557 
 
 M 
 0-627 
 
 M 
 
 2 '4IO 
 
 (6-50) 
 
 3-16 N 
 2 -20 1-86 
 
 N 
 0-13 
 
 N 
 0-19 
 
 N 
 1-98 
 
 XXXIII 
 XXXIV 
 XXXV 
 XXXVI 
 
 -01670 
 10 
 
 35 
 34 
 
 XXXIII 
 XXXIV 
 XXXV 
 XXXVI 
 
 + -01447 
 30 
 106 
 
 27 
 
 XXXIII 
 XXXIV 
 XXXV 
 XXXVI 
 
 + -01565 
 3i 
 NO 
 
 23 
 
 XXXIII 
 XXXIV 
 XXXV 
 XXXVI 
 
 '01834 
 8 
 4i 
 37 
 
 (6-42) 
 0-50 O 
 3-46 0-38 
 
 O 
 2-15 
 
 
 
 2'2I 
 
 
 0-42 
 
 1892-687 
 
 Rad. Vec. 
 
 -01591 
 1 76" -44 
 
 P 
 
 1892-692 
 
 Rad. Vec. 
 
 + -01610 
 i79"-28 
 
 1892-692 
 
 Rad. Vec. 
 
 + -01719 
 I79'"38 
 
 1892-697 
 
 Rad. Vec. 
 
 -01748 
 1 76" -30 
 
 (6-44882) Q 
 2-03750 124! 
 2-11883 0-60515 1 
 
 Q 
 -3H 
 2-37025; 
 
 +921 
 
 2-43975J 
 
 Q 
 71 
 
 3-67I97J 
 
 (8-2247) R 
 1-6913 I2\ 
 2-I590 0-2997/ 
 
 R 
 
 w 7 ] 
 
 0-2895! 
 
 R 
 
 +9} 
 0-3590J 
 
 R 
 
 -H, 
 o*367ij 
 
 (8-224) S 
 
 0-138 1\ 
 2-128 0-490 f 
 
 Latitude 
 
 S 
 0-479 
 
 Latitude 
 
 S 
 
 0-548] 
 
 Latitude 
 
 S 
 0-55-5 
 
 Latitude 
 
 (8-22) 
 
 176 T 
 
 2-12 0-32 
 
 T 
 0-31 
 
 T 
 
 0-37 
 
 T 
 
 U 
 
 -7} 
 0*06209; 
 
 (6-44997) U 
 i '3457 i 24 1 
 2-19908 3-544I5/ 
 
 XXXVII 
 XXXVIII 
 XXXIX 
 XL 
 XLI 
 XLII 
 XLIII 
 XLIV 
 XLV 
 XLVI 
 
 '07333 
 8897 
 
 54 
 870 
 
 2IO 
 
 74 
 
 38 
 50 
 
 II 
 l| 
 
 U 
 
 -31} 
 1 75922; 
 
 XXXVII 
 XXXVIII 
 XXXIX 
 XL 
 XLI 
 XLII 
 XLIII 
 XLIV 
 XLV 
 XLVI 
 
 13116 
 9233 
 49 
 337 
 191 
 
 37 
 
 62 
 5' 
 
 -82 
 
 U 
 
 +92} 
 
 1-82872; 
 
 XXXVII 
 XXXVIII 
 XXXIX 
 XL 
 XLI 
 XLII 
 XLIII 
 XLIV 
 XLV 
 XLVI 
 
 IOI28 
 8211 
 
 49 
 296 
 
 182 
 
 27 
 62 
 
 1 
 5180 
 
 - 89 
 
 XXXVII 
 XXXVIII 
 XXXIX 
 XL 
 XLI 
 XLII 
 XLIII 
 XLIV 
 XLV 
 XLVI 
 
 noil? 
 9897 
 So 
 910 
 
 222 
 72 
 
 38 
 51 
 
 +5261 
 
 (6'5) 
 ro V 
 
 2'4 3'4 
 
 V 
 i'7 
 
 V 
 17 
 
 V 
 
 O'O 
 
 (6 '449) W 
 1790 I j 
 2-137 0-376 ( 
 
 W 
 2-141 
 
 W 
 +'l 
 
 2*211; 
 
 X 
 
 1-88 
 
 W 
 0-443 
 
 (6-45) 
 1-48 X 
 
 X 
 
 1-82 
 
 X 
 
 0'12 
 
 (6-5) 
 07 Y 
 
 2-1 2-8 
 
 XLVII 
 
 1-17526 
 +2 7 i58 
 
 y 
 i "i 
 
 XLVII 
 
 0*22984 
 
 -2 -6822 
 
 Y 
 I'l 
 
 XLVII 
 
 0*13736 
 2" -9 1 39 
 
 Y 
 2-9 
 
 XLVII 
 
 I*266l8 
 +2 '9345 
 
 (6-4) 
 i'3 Z 
 1 7 3-0 
 
 z 
 
 I '2 
 
 Z 
 
 1*2 
 
 Z 
 3'o 
 
 xli 
 
Tables of the Four Great Satellites of Jupiter 
 
 SATELLITE II PHENOMENA, 1892 SEPTEMBER 6, 8, 10 
 
 Eclipse, Dis. Shadow, Ing. and Eg. Transit, Ing. and Eg. Occultation, Re. 
 
 Semidurations 
 
 L 
 LI 
 LII 
 LIII 
 LIV 
 LV 
 LVI 
 
 LXVI 
 
 d 
 0*052414 
 
 + 7 
 7 
 > 
 69 
 
 >j 
 
 333 
 
 d 
 0-052487 
 
 
 
 7 
 >j 
 
 
 54 
 935 
 
 d 
 O-O49I2I 
 
 J) 
 
 7 
 1 1 
 
 
 
 58 
 
 854 
 
 d 
 
 0-049060 
 
 + 7 
 8 
 1 1 
 68 
 
 5) 
 
 4O2 
 
 0*052830 
 
 0-053483 Eg. 
 
 + 2) 
 
 3951 
 
 0-050029 Ing. 
 
 + 2 
 369 
 
 0-049556 
 
 0-053090 Ing. 
 
 0-049662 Eg. 
 
 Reductions to Middle 
 
 LVII 
 LVIII 
 LIX 
 LX 
 LXI 
 LXII 
 LXIII 
 LXIV 
 LXV 
 Var. 
 
 LXVI 
 
 d 
 o-oon 1 8 
 
 9 1 
 26 
 
 3 
 6 
 
 7 
 3 1 
 
 
 
 
 + i5 
 
 d 
 
 0-001397 
 
 64 
 
 94 
 37 
 4 
 7 
 3i 
 
 5) 
 J> 
 -I 9 
 
 d 
 0-001238 
 
 32 
 88 
 
 37 
 
 6 
 
 26 
 
 
 
 -62 
 -19 
 
 d 
 O-OOO994 
 6 7 
 
 34 
 3 
 7 
 6 
 
 26 
 
 -47 
 
 + 16 
 
 0-000939 
 >j 
 
 0-001179 Eg. 
 
 + i7 
 
 0-001125 Ing. 
 + 16 
 
 0-000882 
 
 0*001162 Ing. 
 
 0-001109 Eg. 
 
 Apparent Times of the Phenomena 
 
 CIV, CV 
 
 Approx. 
 Comp 1 . 
 Semidur". 
 Reduction 
 
 CIV, CV 
 Approx. 
 Comp 1 . 
 Semidur". 
 Reduction 
 
 CVIII 
 
 LXVIII, ) 
 LXIX f 
 
 d 
 0*023805 
 6-701500 
 1240 
 52830 
 
 -939 
 
 r moo < 
 
 d 
 0-023710 
 8*466600 
 
 -3 11 
 53090 
 
 1 162 
 
 C A C f\ 1 * 
 
 d 
 O-O237O6 
 8-536IOO 
 919 
 5OO29 
 I 125 
 
 d 
 0-0236I5 
 IO-3I95OO 
 -6 7 
 
 4955 6 
 882 
 
 __ n A o r , 
 
 J J^^y ' 
 
 5453 < 
 
 51 154 < 
 
 6-670296 
 
 d h m s 
 
 Eel. Dis. Sept. 6 165 13-6 
 A per I s -J--O2OO 
 
 8 '435747 
 
 0-023710 
 8-466600 
 
 -3" 
 53483 
 1179 
 
 T A OO f .... 
 
 8-50957I 
 
 O-O237O6 
 8-536lOO 
 919 
 49662 
 1109 
 T T OO f .1, 
 
 i T-y ( - 1 ^^ 
 
 
 y-+y * 
 
 8-542303 
 
 Sh. I. Sept. 8 1027 28 S - 5 
 Sh. E. 8130 55-0 
 
 8-609278 
 
 d h m s 
 
 Tr. I. Sept. 81213 46-9 
 Tr. E. 8 14 37 21-6 
 
 10*391722 
 
 d h m s 
 
 Oc. R. Sept. 10 9 244-8 
 
 xlii 
 
Introduction 
 
 SATELLITE III 
 
 The following phenomena are calculated, together with the places of the Satellite that are necessary 
 for this purpose: 1910 March 31, Eclipse Disappearance and Reappearance; April 3, Shadow 
 Ingress and Egress, Transit Ingress and Egress. The Occultation which takes place on March 31 is 
 also calculated, but it is invisible since both phases occur while the Eclipse is in progress. 
 
 Superior Helioc. Superior Geoc. Inferior Helioc. Inferior Geoc. 
 
 
 Arguments 
 
 Equations 
 
 Argu- 
 ments 
 
 Equations 
 
 Argu- 
 ments 
 
 Equations 
 
 Argu- 
 ments 
 
 Equations 
 
 I 
 II 
 
 (5667-4) 
 2039-7 a 
 86-0 2125-7 
 
 IV 
 
 V 
 VI 
 
 n 
 
 
 
 a 
 
 2125-7 
 
 d 
 
 IV 0-0359 
 V 312 
 VI 13 
 
 a 
 2129-3 
 
 d 
 
 IV 0-0507 
 V 318 
 
 VI 12 
 
 a 
 2129-3 
 
 d 
 
 IV 0-0512 
 V 318 
 
 VI 12 
 
 I 
 
 II 
 III 
 
 (6ori2) 
 3 ll- 7 8 
 86-00 p 
 13 397-91 
 
 
 
 397-91 
 
 P 
 2'6l 
 
 ft 
 2-61 
 
 p 
 
 p 0-0034 
 
 p 0-0177 
 
 p 0-0182 
 
 I 
 II 
 III 
 
 p 
 
 VII 
 VIII 
 IX 
 X 
 
 d 
 4-I26l 
 26-9966 
 I26O 
 >J 
 
 16 
 
 42 
 
 34 
 28 
 
 d 
 4-I26l 
 II 26-9966 
 III -1260 
 
 P 34 
 VII 1 6 
 VIII 42 
 IX 34 
 X 28 
 
 d 
 7-7093 
 II 26-9966 
 III OT255 
 
 P 
 
 VII 24 
 VIII 38 
 IX 6 
 X 28 
 
 d 
 I 7-7093 
 II 26-9966 
 III -1255 
 p 182 
 
 VII 24 
 VIII 39 
 IX 6 
 X 28 
 
 1 
 II 
 III 
 
 (634-7) 
 
 2-0 
 
 86-0 7 
 i 88-1 
 
 y 
 
 88-1 
 
 y 
 91-7 
 
 y 
 
 91-7 
 
 I 
 II 
 III 
 
 p 
 
 (2-95) 
 2-41 
 
 'I3 i 
 3'93 
 
 3'93 
 
 s 
 7-51 
 
 
 
 7-51 
 
 p 'O2 
 
 7'49 
 
 I 
 II 
 III 
 p 
 
 (2-84) 
 3;38 
 
 13 e 
 3' 6 4 
 
 6 
 
 3 >6 4 
 
 e 
 7'22 
 
 
 
 p -O2 
 
 7'20 
 
 I 
 
 II 
 III 
 
 p 
 
 (2-8 5 ) 
 4-88 
 
 5^5 
 
 I 
 
 5'!5 
 
 8-73 
 
 | 
 
 p -O2 
 
 8- 7 I 
 
 I 
 II 
 III 
 p 
 
 (2-8 5 ) 
 
 4'3 6 
 14 
 13 n 
 
 4-63 
 
 n 
 
 4-63 
 
 
 n 
 8-21 
 p -02 
 
 Mar. 31-2607 
 
 Mar. 31-2573 
 
 8-21 
 
 April 3-8410 
 
 8-19 
 
 April 3-8229 
 
 Note. The direction to apply the equation of Table III to the entries from cols. 2,6-11 of Table I, as shown above, has been accidentally omitted from the foot of p. 142. 
 
 ACCESSORY QUANTITIES 
 
 c a 
 
 99 32'-8 
 
 99 3*'-8 
 
 99 32'"8 
 
 99 3 2'-8 
 
 
 
 
 
 10 9' 2 2"- 5 
 
 M 
 
 13 40' 1 6"- 1 
 
 logR, 
 
 
 
 9-999714 
 
 5) 
 
 0-000171 
 
 log A 
 
 0-648767 
 
 0-648767 
 
 0-6489X9 
 
 0-648918 
 
 y. 
 
 189 41' 43 "-8 
 
 189 41' 42"'9 
 
 189 57' 58"'o 
 
 189 57' 53"-! 
 
 P 
 
 
 
 -o 6' i2"7 
 
 
 
 -o 49' 55"'i 
 
 To compare) 
 with Sat. ) 
 
 i89-69550 
 
 i8 9 -59i72 
 
 i89'966n 
 
 i8 9 -i32 7 8 
 
 XLIII, Jovic. Lat. 
 
 
 
 0-08210 
 
 
 
 0-08195 
 
 xliii 
 
1910 
 
 Tables of the Four Great Satellites of Jupiter 
 
 SATELLITE III LONGITUDE, LATITUDE AND RADIUS VECTOR 
 
 March 31-260700 March 31 '257300 April 3-841000 
 
 April 3 '822900 
 
 
 Arguments 
 
 Longitude 
 
 Argu- 
 ments 
 
 Longitude 
 
 Argu- 
 ments 
 
 Longitude 
 
 Argu- 
 ments 
 
 Longitude 
 
 XI 
 XII 
 
 XI 
 XII 
 
 XI 
 XII 
 
 XI 
 XII 
 
 XI 
 
 XII 
 
 XI 
 XII 
 
 XI 
 XII 
 
 XI 
 XII 
 
 XI 
 
 XII 
 
 XI 
 XII 
 
 XI 
 
 XII 
 
 XI 
 XII 
 
 XI 
 
 XII 
 
 XI 
 XII 
 
 XI 
 
 XII 
 
 XI 
 XII 
 
 XI 
 XII 
 
 XI 
 XII 
 
 XI 
 XII 
 
 XI 
 XII 
 
 XI 
 XII 
 
 XI 
 XII 
 
 XI 
 
 XII 
 
 (2-94907) 
 5-32952 A 
 5'64957 3'928i6 
 
 XI 
 
 XII 
 
 XIII | 
 
 XIV 
 XV 
 XVI 
 XVII 
 XVIII 
 XIX 
 XX 
 XXI 
 XXII 
 XXIII 
 XXIV 
 XXV 
 XXVI 
 XXVII 
 XXVIII 
 XXIX 
 XXX 
 XXXI 
 XXXII 
 
 327-6oo53 
 208-58817 
 13-08259 
 3522 
 9449 
 3719 
 48 
 19066 
 749 
 149 
 28 
 
 1 01 
 
 925 
 3 
 
 267 
 902 
 
 50 
 1326 
 1009 
 208 
 
 7 
 223 
 16 
 
 A 
 3-92476 
 
 XI 
 XII 
 
 XIII | 
 
 XIV 
 XV 
 XVI 
 XVII 
 XVIII 
 XIX 
 XX 
 XXI 
 XXII 
 XXIII 
 XXIV 
 XXV 
 XXVI 
 XXVII 
 XXVIII 
 XXIX 
 XXX 
 XXXI 
 XXXII 
 
 327-6oo53 
 208-58817 
 12-57941 
 36732 
 943 
 3719 
 48 
 19117 
 752 
 
 149 
 28 
 IOI 
 
 925 
 
 3i 
 267 
 902 
 
 5i 
 1326 
 1009 
 20 1 
 7 
 
 222 
 
 16 
 
 A 
 
 0-45753 
 
 XI 
 XII 
 
 XIII | 
 
 XIV 
 XV 
 XVI 
 XVII 
 XVIII 
 XIX 
 XX 
 XXI 
 XXII 
 XXIII 
 XXIV 
 XXV 
 XXVI 
 XXVII 
 XXVIII 
 XXIX 
 XXX 
 XXXI 
 XXXII 
 
 327-6oo53 
 359-54HO 
 42-26682 
 5032 
 4060 
 892 
 52 
 20978 
 
 15257 
 46 
 69 
 
 99 
 
 "45 
 32 
 253 
 932 
 57 
 1333 
 1005 
 215 
 
 7 
 225 
 16 
 
 A 
 0-43943 
 
 XI 
 XII 
 
 XIII | 
 
 XIV 
 XV 
 XVI 
 XVII 
 XVIII 
 XIX 
 XX 
 XXI 
 XXII 
 XXIII 
 XXIV 
 XXV 
 XXVI 
 XXVII 
 XXVIII 
 XXIX 
 XXX 
 XXXI 
 XXXII 
 
 327-6oo53 
 359-54iio 
 41 -26047 
 14592 
 4167 
 880 
 52 
 20701 
 15234 
 47 
 70 
 98 
 "44 
 32 
 253 
 932 
 56 
 
 1333 
 1005 
 178 
 8 
 216 
 17 
 
 (87-477) 
 5-426 B 
 2-598 8-024 
 
 B 
 8-021 
 
 B 
 11-604 
 
 B 
 11-587 
 
 f2'8 4 ) 
 
 6-35 C 
 4-32 3'5 
 
 C 
 3-5I 
 
 C 
 
 7-09 
 
 C 
 7-07 
 
 (2-8445) 
 6 '4003 D 
 4-3943 3 '6391 
 
 D 
 3^357 
 
 D 
 0-0639 
 
 D 
 0-0458 
 
 (2-8452) 
 07529 E 
 4-4029 5-1558 
 
 E 
 5'i524 
 
 E 
 
 1-5813 
 
 E 
 i -5632 
 
 (3-05) 
 4-29 F 
 6-87 4-21 
 
 F 
 4-21 
 
 F 
 0-84 
 
 F 
 0-82 
 
 (3-05) 
 2-82 G 
 6'86 2-73 
 
 G 
 
 *73 
 
 G 
 6-31 
 
 G 
 6-29 
 
 Comp'. 
 XLVI 
 
 Var". 
 
 1 89 -68924 
 +0 -00626 
 
 -j-O d -OOOI24 
 l> 
 
 Comp 4 . 
 XLVI 
 Var". 
 
 I8 9 '5 1844 
 
 +0 -07328 
 
 +Qd -OOI459\ 
 
 +3/ 
 
 Comp'. 
 XLVI 
 Var". 
 
 9 -92550 
 
 +0 -04061 
 -fed -000808) 
 
 2) 
 
 Comp 4 . 
 XLVI 
 Var". 
 
 9 '01225 
 
 +o-i2O53 
 +o d '002400 \ 
 -S) 
 
 (2-82) 
 6-62 H 
 4-I3 3'57 
 
 H 
 3'57 
 
 H 
 
 7-15 
 
 H 
 7'i3 
 
 (49-84) 
 38-18 I 
 40-10 28-12 
 
 I 
 28-12 
 
 I 
 31-70 
 
 I 
 
 31-68 
 
 (599) 
 74 J 
 90 164 
 
 164 
 
 ,68 
 
 ,68 
 
 Variation 
 
 Variation 
 
 
 Variation 
 
 Variation 
 
 (S42-33) 
 397-46 K 
 90-26 30-05 
 
 K 
 30-05 
 
 K 
 33-63 
 
 K 
 33-6i 
 
 (51770) 
 415-46 L 
 90-26 23-42 
 
 XXXIII 
 XXXIV 
 XXXV 
 XXXVI 
 
 00616 
 
 41 
 
 623 
 
 164 
 
 L 
 23-42 
 
 XXXIII 
 XXXIV 
 XXXV 
 XXXVI 
 
 00616 
 41 
 623 
 164 
 
 L 
 27-00 
 
 M 
 409-78 
 
 XXXIII 
 XXXIV 
 XXXV 
 XXXVI 
 
 '00382 
 27 
 
 17 
 117 
 
 L 
 26-98 
 
 XXXIII 
 XXXIV 
 XXXV 
 XXXVI 
 
 00381 
 27 
 '7 
 "5 
 
 (5'4-4i) 
 315-94 M 
 9026 406-20 
 
 M 
 406-20 
 
 M 
 40976 
 
 Rad. Vec. 
 
 + '00212 
 
 283" -99 
 
 Rad. Vec. 
 
 +00212 
 283" -99 
 
 Rad. Vec. 
 
 -OO22I 
 283" - 3 8 
 
 Rad. Vec. 
 
 -00222 
 
 28 3 "- 3 8 
 
 (5667-4) 
 2035-4 " 
 90-3 21257 
 
 a 
 21257 
 
 a 
 2129-3 
 
 a 
 2129-3 
 
 N 
 1910-2 
 
 N 
 1910-2 
 
 N 
 1910-3 
 
 N 
 1910-3 
 
 (2-84545) O 
 
 0-23627 +12 ) 
 4-40607 4-64234 / 
 
 O 
 
 +146) 
 4-63894.1 
 
 O 
 
 +8il 
 i -06809! 
 
 
 
 +239J 
 i -04999J 
 
 Latitude 
 
 Latitude 
 
 Latitude 
 
 Latitude 
 
 (6-42) 
 1-68 P 
 0-86 2-54 
 
 P 
 2-54 
 
 P 
 2'54 
 
 P 
 2-52 
 
 (6-423) 
 0-444 Q 
 0-835 1-279 
 
 XXXVII 
 XXXVIII 
 XXXIX 
 XL 
 XLI 
 XLII 
 XLIII 
 XLIV 
 
 XLVIII 
 
 0-22133 
 
 3183 
 
 735 
 846 
 119 
 20 
 
 
 
 +'} 
 
 1-276] 
 
 XXXVII 
 XXXVIII 
 XXXIX 
 XL 
 XLI 
 XLII 
 XLIII 
 XLIV 
 
 XLVIII 
 
 0-22223 
 3185 
 735 
 849 
 119 
 
 20 
 
 8210 
 
 ,1} 
 
 XXXVII 
 XXXVIII 
 XXXIX 
 XL 
 XLI 
 XLII 
 XLTII 
 XLIV 
 
 XLVIII 
 
 1-58032 
 12822 
 1067 
 1156 
 
 41 
 20 
 
 11 
 
 +201 
 
 Q +*l 
 
 1-265! 
 
 XXXVII 
 XXXVIII 
 XXXIX 
 XL 
 XLI 
 XLII 
 XLIII 
 XLIV 
 
 XLVIII 
 
 J -57300 
 12803 
 1059 
 
 "43 
 4i 
 20 
 +8195 
 + 199 
 
 (6-42) 
 
 3-37 R 
 
 0-83 0*62 
 
 R 
 O'62 
 
 R 
 0-62 
 
 R 
 o - 6o 
 
 (2-8464) S 
 0-6527 +i \ 
 4-4180 5-0707; 
 
 S 
 
 t' 5 l 
 5-0673! 
 
 S 
 +8) 
 i -4974! 
 
 S 
 
 +24} 
 
 i '4793 J 
 
 0-27036 
 
 IO 
 
 0-I892Z 
 41 
 
 1 73339 
 10 
 
 I '80760 
 41 
 
 (2-85) 
 3-12 T 
 4-46 0-43 
 
 T 
 0'43 
 
 T 
 4-01 
 
 T 
 3'99 
 
 (2-846) 
 6-502 U 
 4-409 3757 
 
 XLV 
 
 0-27026 
 
 2 -6096 
 
 U 
 
 +'} 
 
 3754! 
 
 XLV 
 
 0-I8880 
 2 -6062 
 
 U 
 
 +ij 
 0-183! 
 
 XLV 
 
 1 73329 
 
 +2 '6158 
 
 U 
 
 +2) 
 
 o-i66j 
 
 XLV 
 
 1-80719 
 
 +2 '5882 
 
 (2-8) 
 5-6 V 
 4-3 2*6 
 
 V 
 2-6 
 
 V 
 6-2 
 
 V 
 6-2 
 
 xliv 
 
Introduction 
 
 SATELLITE III PHENOMENA, 1910 MARCH 31, APRIL 3 
 
 Eclipse, Dis. and Re. Occultation, Dis. and Re. Shadow, Ing. and Eg. 
 
 Transit, Ing. and Eg. 
 
 Semidurations 
 
 XLIX 
 L 
 LI 
 LII 
 LIII 
 LIV 
 LV 
 
 LXV 
 
 d 
 O-O52O42 
 
 
 
 I? 
 10 
 
 )> 
 
 130 
 
 )> 
 
 d 
 0-044495 
 
 
 
 I? 
 IO 
 
 34 
 130 
 
 
 
 d 
 
 0-051610 
 
 
 
 
 IO 
 
 
 > 
 114 
 
 d 
 0-044793 
 
 J> 
 >J 
 
 10 
 
 -34 
 D 
 H3 
 
 0-052165 
 
 
 
 
 0-044652 
 
 
 >j 
 
 0-051734 Ing. 
 
 o 
 6 
 
 0-044882 Eg. 
 
 o 
 -5 
 
 0-051728 Eg. 
 
 0-044877 Ing. 
 
 Reductions to Middle 
 
 LVI 
 LVII 
 LVIII 
 LIX 
 LX 
 LXI 
 LXII 
 LXIII 
 LX1V 
 Var. 
 
 LXV 
 
 d 
 O-OOI856 
 
 2 
 
 '34 
 
 !5 
 
 5 
 
 10 
 
 26 
 
 
 
 -3 
 
 d 
 0-001859 
 
 2 
 
 J 33 
 J 5 
 
 5 
 
 10 
 
 26 
 
 -157 
 
 j> 
 4 
 
 d 
 O-OO2395 
 
 2 
 
 IJ 3 
 
 10 
 
 6 
 ii 
 
 14 
 
 
 n 
 
 + 5 
 
 d 
 O-OO24II 
 
 2 
 1 08 
 I I 
 
 5 
 ii 
 
 14 
 
 
 207 
 
 + 5 
 
 0-001667 
 
 0-001829 
 
 0-002234 Ing. 
 
 
 0*002462 Eg. 
 
 
 0-002234 Eg. 
 
 0*002462 Ing. 
 
 Apparent Times of the Phenomena 
 
 CIV, CV 
 
 Approx. 
 Comp 1 . 
 Semidur". 
 Reduction 
 
 CIV, CV 
 
 Approx. 
 Comp'. 
 Semidur 11 . 
 Reduction 
 
 CVIII 
 
 LXVII, ) 
 LXVIII [ 
 
 d 
 O-O257O2 
 
 Mar. 31-260700 
 124 
 -52165 
 1667 
 
 d 
 O-O257O2 
 
 Mar. 31-257300 
 1462 
 44652 
 1829 
 
 1 1 Q T .- 
 
 d 
 0-025711 
 Apr. 3-841000 
 806 
 
 -5!?34 
 2234 
 
 r . n /:o ^ 
 
 d 
 
 0-02571 1 
 Apr. 3*822900 
 
 2 395 
 44877 
 
 2462 
 
 1 53 8 3 2 * 
 
 4040 I < 
 
 53908 <- 
 
 4/ S6y 
 
 Mar. 31-232694 
 
 0*025702 
 Mar. 31-260700 
 124 
 52165 
 1667 
 
 T f*f,n *- 
 
 Mar. 31-237983 
 
 0-025702 
 Mar. 31-257300 
 1462 
 44652 
 1829 
 
 Apr. 3-8I3549 
 
 0-025711 
 Apr. 3-841000 
 806 
 
 51728 
 2234 
 
 Apr. 3*803667 
 
 0*025711 
 Apr. 3-822900 
 
 2395 
 44882 
 
 2462 
 2462 * 
 
 1007 *= 
 
 1829 * 
 
 2234 . 
 
 
 Mar. 31-337024 
 
 Eel., Dis. Mar. 3 1 5 3 5" 4- 8 
 Re. 8 518-9 
 A() per I s -00748 
 
 Mar. 31-327287 
 
 d h m s 
 
 Occ., Dis. Mar. 31 5 42 41-7 
 Re. 751 17-6 
 
 Apr. 3-91701 1 
 
 Sh., Ing. Apr. 3 1931 30-6 
 Eg. 22 029-8 
 
 Apr. 3*893426 
 
 d h m s 
 
 Tr., Ing. Apr. 3 19 17 16*8 
 Eg. 21 26 32-0 
 
 xlv 
 
Tables of the Four Great Satellites of Jupiter 
 
 SATELLITE IV 
 
 The phenomena calculated below are, 1886 April 30, Eclipse and Occultation, followed 
 by May 8, Shadow and Transit. All these phenomena are very near the limits. The occulta- 
 tion reappearance takes place before the eclipse begins, so that the complete set of phenomena 
 would be visible. In the course of the calculation the places of the Satellite are found. 
 
 Superior Helioc. Superior Geoc. Inferior Helioc. Inferior Geoc. 
 
 
 Arguments 
 
 
 Equations 
 
 Argu- 
 ments 
 
 Equations 
 
 Argu- 
 ments 
 
 Equations 
 
 Argu- 
 ments 
 
 Equations 
 
 I 
 II 
 
 (5667-4) 
 1939-5 
 117-3 2056-8 
 
 IV 
 V 
 VI 
 
 j 
 
 j> 
 
 a 
 2056-8 
 
 d 
 
 IV 0-4545 
 V 968 
 VI 132 
 
 a 
 
 2065-2 
 
 d 
 
 IV 0-5069 
 V 980 
 VI 151 
 
 a 
 
 2065-2 
 
 d 
 
 IV 0-5069 
 V 980 
 VI 151 
 
 
 
 
 
 
 
 
 
 
 
 I 
 
 (6oiT2) 
 321-15 
 
 
 P 
 
 
 p 0-3445 
 
 
 p 0-3938 
 
 
 p - 0-3938 
 
 II 
 
 III 
 
 117-27 /3 
 34 39-88 
 
 
 
 ft 
 
 39-88 
 
 
 
 
 48-26 
 
 
 ft 
 
 48-26 
 
 
 I 
 II 
 III 
 
 (634'7) 
 
 2-1 
 117-3 7 
 3 119-7 
 
 
 
 7 
 119-7 
 
 
 7 
 128-1 
 
 
 7 
 
 128-1 
 
 
 I 
 II 
 III 
 
 (83-3io) 
 11-755 
 442 
 
 "IIQ 
 
 
 
 a 
 
 12-536 
 
 />-'345 
 
 
 | 
 
 
 s 
 
 4-220 
 
 -394 
 
 
 t 
 
 JJ7 
 I2-536 
 
 
 
 12-191 
 
 
 4-220 
 
 
 3-826 
 
 
 I 
 II 
 
 ITI 
 
 (83-30 
 9-79 
 
 "45 
 
 * 1A f 
 
 
 
 e 
 10-58 
 
 /-34 
 
 
 
 
 e 
 
 18-96 
 
 /> '39 
 
 
 P 
 
 J4 
 
 10-58 
 
 
 
 10-24 
 
 
 18-96 
 
 
 18-57 
 
 
 
 
 I 
 II 
 III 
 
 p 
 
 VII 
 VIII 
 
 d 
 2-9991 
 
 Apr.27-2749 
 3386 
 
 
 792 
 114 
 
 
 d 
 2-9991 
 
 II Apr.27'2749 
 III -3386 
 
 P "3445 
 VII 788 
 
 VIII 114 
 
 
 d 
 U'3759 
 
 II Apr.27'2749 
 HI -3357 
 
 P 
 VII 9 
 
 VIII 114 
 
 
 d 
 
 11-3759 
 
 II Apr.27'2749 
 HI -3357 
 P- -3938 
 
 VII 12 
 
 VIII 113 
 
 
 
 Api 
 
 30-7032 
 
 
 A F r - 30-3583 
 
 
 May 8-9988 
 
 
 May 8-6052 
 
 ACCESSORY QUANTITIES 
 
 Q 
 
 99 i8'- 3 
 
 99 i8'"3 
 
 99 i8'- 3 
 
 99 i8'- 3 
 
 
 
 
 
 40 23' 26"-8 
 
 
 
 48 22' 35 "-o 
 
 logR, 
 
 
 
 003477 
 
 
 
 004324 
 
 log A 
 
 670520 
 
 670176 
 
 679354 
 
 678912 
 
 n 
 
 184 9' 8"-o 
 
 184 7' 34"'2 
 
 184 46' 44"'5 
 
 184 44' 57"'4 
 
 p 
 
 
 
 -7 I 9 ' 22"'I 
 
 
 
 8 23' 4o"-6 
 
 To compare^ 
 with Sat.J 
 
 l84'I5222 
 
 I 7 6 -8o3 3 6 
 
 i8 4 -77903 
 
 i76-35 4 67 
 
 , Jovic. Lat. 
 
 
 
 0-11874 
 
 
 
 0-10571 
 
 xlvi 
 
Introduction 
 
 1886 
 
 SATELLITE IV LONGITUDE, LATITUDE AND RADIUS VECTOR 
 
 April 30703200 April 30-358300 May '998800 
 
 May 8 '605200 
 
 
 Arguments 
 
 Longitude 
 
 Argu- 
 ments 
 
 Longitude 
 
 Argu- 
 ments 
 
 Longitude 
 
 Argu- 
 ments 
 
 Longitude 
 
 IX 
 X 
 
 IX 
 X 
 
 IX 
 X 
 
 IX 
 X 
 
 IX 
 X 
 
 IX 
 X 
 
 IX 
 X 
 
 IX 
 X 
 
 IX 
 X 
 
 IX 
 X 
 
 IX 
 X 
 
 IX 
 X 
 
 IX 
 X 
 
 IX 
 X 
 
 IX 
 X 
 
 IX 
 X 
 
 IX 
 X 
 
 IX 
 X 
 
 (8-02) 
 I -97 A 
 1-97 1-96 
 
 IX 
 X 
 
 XI | 
 
 XII 
 XIII 
 XIV 
 XV 
 XVI 
 XVII 
 XVIII 
 XIX 
 XX 
 XXI 
 XXII 
 XXIII 
 XXIV 
 XXV 
 
 100-32436 
 68-53316 
 15-09978 
 6903 
 97 
 83 
 
 12 
 3983 
 3510 
 148 
 162 
 
 '333 
 303 
 572 
 214 
 304 
 "59 
 61 
 
 A 
 1-61 
 
 IX 
 X 
 
 x,{ 
 
 XII 
 XIII 
 XIV 
 XV 
 XVI 
 XVII 
 XVIII 
 XIX 
 XX 
 XXI 
 XXII 
 XXIII 
 XXIV 
 XXV 
 
 100-32436 
 
 68-53316 
 
 7-54989 
 17904 
 
 47 
 
 63 
 
 3830 
 4084 
 152 
 130 
 1334 
 
 3028 
 
 572 
 
 2OI 
 
 447 
 147 
 68 
 
 A 
 0-36 
 
 IX 
 X 
 
 x,{ 
 
 XII 
 XIII 
 XIV 
 XV 
 XVI 
 XVII 
 XVIII 
 XIX 
 XX 
 XXI 
 XXII 
 XXIII 
 XXIV 
 XXV 
 
 100-32436 
 241 '10203 
 
 21-35540 
 
 18983 
 153 
 
 5> 
 
 593 
 438 
 
 A 
 1-94 
 
 IX 
 X 
 
 x,{ 
 
 XII 
 XIII 
 XIV 
 XV 
 XVI 
 XVII 
 XVIII 
 XIX 
 XX 
 XXI 
 XXII 
 XXIII 
 XXIV 
 XXV 
 
 100-32436 
 241-10203 
 12-94267 
 11217 
 93 
 
 56-9 
 621 
 171714 
 53 
 
 120 
 70 
 3064 
 572 
 236 
 490 
 144 
 70 
 
 (S'49) 
 0-86 B 
 
 3 '41 4-27 
 
 B 
 3'92 
 
 B 
 
 3'55 
 
 B 
 3-I5 
 
 (87-477) 
 6-699 C 
 7-994 2-170 
 
 C 
 
 1-825 
 
 C 
 
 10-466 
 
 172488 
 49 
 
 '8 
 
 3065 
 572 
 
 20 1 
 322 
 158 
 62 
 
 C 
 
 10-072 
 
 (83-306) 
 
 7-243 
 3-842 11-085 
 
 D 
 
 10-740 
 
 D 
 
 2-687 
 
 D 
 2-293 
 
 (83-30954) 
 8-70538 E 
 3-87000 12-57538 
 
 E 
 12-23048 
 
 E 
 4-18052 
 
 E 
 3-78692 
 
 Comp'. 
 XL 
 Var". 
 
 i84-i63Oi 
 
 o -01079 
 o d -000502 
 
 i 
 
 Comp 1 . 
 XL 
 Var". 
 
 176 72749 
 
 +o'07587 
 +o d -oo3530\ 
 
 +5J 
 
 Comp*. 
 XL 
 Var n . 
 
 
 Comp'. 
 XL 
 Var". 
 
 356 -2599I 
 
 +0 -09476 
 4-o d -004410 \ 
 -8J 
 
 (49-842) 
 0-670 F 
 20-387 20-057 
 
 F 
 20712 
 
 F 
 29-353 
 
 G 
 
 0-05 
 
 475535 
 +o -02368 
 
 -j-O d 'OOIIO2 
 
 F 
 28-959 
 
 (1-62) 
 5-08 G 
 3'43 fi3 
 
 G 
 8-16 
 
 G 
 
 8-03 
 
 (83-183) 
 1-414 
 2-983 4-397 
 
 Variation 
 
 H 
 
 4-052 
 
 Variation 
 
 H 
 12-693 
 
 Variation 
 
 H 
 12-299 
 
 Variation 
 
 (5667-4) 
 1936-3 a 
 1207 2057-0 
 
 a 
 2056-7 
 
 2065-3 
 
 a 
 2064-8 
 
 XXVI 
 XXVII 
 XXVIII 
 XXIX 
 
 -00127 
 47 
 
 22 
 21 
 
 XXVI 
 XXVII 
 XXVIII 
 XXIX 
 
 + -00063 
 52 
 17 
 19 
 
 XXVI 
 XXVII 
 XXVIII 
 XXIX 
 
 -00090 
 
 49 
 59 
 
 20 
 
 XXVI 
 XXVII 
 XXVIII 
 XXIX 
 
 -00307 
 44 
 63 
 21 
 
 I 
 
 1886-3 
 
 I 
 1886-3 
 
 I 
 
 1886-4 
 
 I 
 1886-4 
 
 Rad. Vec. 
 
 00037 
 49 8" -8 9 
 
 } 
 
 Rad. Vec. 
 
 + -00151 
 499" -36 
 
 Rad. Vec. 
 
 + -00038 
 499" -08 
 
 Rad. Vec. 
 
 - -00179 
 
 498"'54 
 
 83-3J098) J 
 
 6745'S 5l 
 3-88009 10-62524] 
 
 10-28034 
 +354 
 
 2-23182! 
 + IIOJ 
 
 1-838221 
 +44o| 
 
 (1-656) 
 S-342 K 
 3-885 0-883 
 
 K 
 0-538 
 
 K 
 0-835 
 
 K 
 0-441 
 
 Latitude 
 
 Latitude 
 
 Latitude 
 
 Latitude 
 
 (1-66) 
 5-80 L 
 3-90 1-36 
 
 L 
 
 I'OI 
 
 L 
 1-32 
 
 L 
 0-92 
 
 XXX 
 
 XXXI 
 XXXII 
 XXXIII 
 XXXIV 
 XXXV 
 XXXVI 
 XXXVII 
 XXXVIII 
 
 Q'34475 
 16569 
 1920 
 3 6 9 
 IS 
 
 59 
 
 5 
 
 ) 
 > 
 
 XXX 
 
 XXXI 
 XXXII 
 XXXIII 
 XXXIV 
 XXXV 
 XXXVI 
 XXXVII 
 XXXVIII 
 
 0-46304 
 18227 
 1734 
 39 
 I 3 
 56 
 7 
 -11874 
 
 XXX 
 XXXI 
 XXXII 
 XXXIII 
 XXXIV 
 XXXV 
 XXXVI 
 XXXVII 
 XXXVIII 
 
 2-31978 
 
 I 1202 
 1464 
 
 65 
 45 
 
 21 
 
 54 
 
 + 460 
 
 XXX 
 XXXI 
 XXXII 
 XXXIII 
 XXXIV 
 XXXV 
 XXXVI 
 XXXVII 
 XXXVIII 
 
 2-18067 
 9318 
 1678 
 44 
 48 
 25 
 52 
 + -10571 
 + 384 
 
 (83-3124) M 
 3-9409 -51 
 3-8898 7-8307] 
 
 M 
 7-48581 
 
 +35i 
 
 M 
 16-12631 
 +"J 
 
 M 
 157327 
 
 (83-316) N 
 4-864 n 
 3-918 8782] 
 
 N 
 8-437 
 
 N 
 0-394 
 
 N 
 
 O'OOO 
 
 (83-18) 
 
 3-39 o 
 
 2-97 6-36 
 
 XLII 
 XLIII 
 XLIV 
 
 0-53412 
 
 + 16 
 + 62 
 
 M 
 
 O 
 6 -02 
 
 XLII 
 XLIII 
 XLIV 
 
 0-54856 
 
 - 63 
 + 61 
 
 O 
 1466 
 
 XLII 
 XLIII 
 
 XLIV 
 
 2-45289 
 
 + 6 
 
 II 
 
 61 
 
 
 14-26 
 
 XLII 
 XLIII 
 XLIV 
 
 2-40187 
 
 61 
 49 
 
 (83-12) 
 1275 P 
 2-51 15-26 
 
 P 
 
 14-91 
 
 P 
 6-68 
 
 P 
 6-28 
 
 (83-38) 
 14-13 Q 
 4-33 1-84 
 
 Q 
 1-49 
 
 Q 
 10*14 
 
 Q 
 9-74 
 
 XXXIX 
 
 0-53490 
 i -9647 
 
 XXXIX 
 
 0-54854 
 i -6940 
 
 XXXIX 
 
 2-45244 
 +i c '-929o 
 
 XXXIX 
 
 2-40077 
 +i-6ii9 
 
 (83-25) 
 16-05 R 
 
 3-43 273 
 
 R 
 2-38 
 
 R 
 11-03 
 
 R 
 10-63 
 
 xlvii 
 
Tables of the Four Great Satellites of Jupiter 
 
 SATELLITE IV PHENOMENA, 1886 APRIL 30, MAY 8 
 
 Eclipse, Dis. and Re. Occultation, Dis. and Re. Shadow, Ing. and Eg. 
 
 Transit, Ing. and Eg. 
 
 Semidurations 
 
 XLV 
 XLVI 
 XLVII 
 XLVIII 
 XLIX 
 L 
 LI 
 
 LXI 
 
 d 
 0-026549 
 
 
 
 
 
 -50 
 II 
 
 
 
 d 
 O-O3I2O5 
 
 
 
 
 -50 
 II 
 + 125 
 
 d 
 O-O3O747 
 
 
 
 
 Jj 
 
 II 
 
 
 
 d 
 0-043824 
 
 
 
 )5 
 J) 
 
 
 12 
 
 -77 
 
 O'O265IO 
 
 
 O-O3I29I 
 )) 
 
 0-030758 Ing. 
 -335 
 
 0-043759 Eg. 
 
 -477 
 
 0-030423 Eg. 
 
 0-043282 Ing. 
 
 Reductions to Middle 
 
 LII 
 LIII 
 LIV 
 LV 
 LV1 
 LVII 
 LVIII 
 LIX 
 LX 
 Var. 
 
 LXI 
 
 d 
 0-003732 
 
 364 
 I 5 8 
 
 63 
 
 22 
 
 IO 
 
 
 
 5> 
 
 + 1 
 
 d 
 0-003744 
 5O2 
 146 
 70 
 
 23 
 10 
 
 M 
 
 -345 
 
 
 
 p 
 
 d 
 0-004879 
 322 
 I6 7 
 6 4 
 
 78 
 J> 
 9 
 
 
 >J 
 
 2 
 
 d 
 0-004839 
 510 
 
 '5 1 
 
 72 
 
 78 
 
 
 
 90 
 
 
 
 436 
 + 8 
 
 O-OO3II4 
 )1 
 
 0-003343 
 
 
 0-004160 Ing. 
 + 92 
 
 0-004366 Eg. 
 
 +97 
 
 0-004068 Eg. 
 
 0-004269 Ing. 
 
 Apparent Times of the Phenomena 
 
 CIV, CV 
 Approx. 
 Comp'. 
 Semidur". 
 Reduction 
 
 CIV, CV 
 Approx. 
 Comp 1 . 
 Semidur 11 . 
 Reduction 
 
 CVIII 
 LXIII, LXIV 
 
 d 
 0-027025 
 
 Apr. 30-703200 
 502 
 26510 
 3 JI 4 
 
 TO T ^ f\ * . 
 
 d 
 O-O27OO3 
 
 Apr. 30-358300 
 
 3535 
 -31291 
 
 3343 
 
 i 1 6 ^ 1 f - 
 
 d 
 0-02758I 
 
 May 8-998800 
 
 IIC2 
 
 -3075 8 
 4160 
 
 IjLQ I 8 c i 
 
 d 
 
 0-027552 
 May 8-605200 
 4402 
 43282 
 4269 
 
 4.7 C CI < 
 
 JUIZO * 
 
 J4j4 * 
 
 j4? 10 * 
 
 T / J J * 
 
 Apr. 30-700099 
 
 0-027025 
 Apr. 30-703200 
 502 
 26510 
 3*14 
 
 IT .. 
 
 Apr. 30-354204 
 
 0-027003 
 Apr. 30-358300 
 
 3535 
 31291 
 
 - 3343 
 
 May 8-992565 
 
 0-027581 
 May 8-998800 
 
 I IO2 
 
 30423 
 4068 
 
 Ao68 <. 
 
 May 8-589603 
 
 0-027552 
 May 8-605200 
 4402 
 
 43759 
 4366 
 
 4.766 <- 
 
 3OIO < 
 
 3343 * 
 
 
 T-J"^ 
 
 A P r - 30753 11 9 
 
 Eel., Dis. Apr. 30 1 6 48 8-6 
 Re. 18 429-5 
 A(*) per I s -00119 
 
 Apr. 30-416786 
 
 d h m s 
 
 Oc., Dis. Apr. 30 830 3-2 
 Re. 10 o 10-3 
 
 May 9-053838 
 
 d h m s 
 
 Sh., Ing. May 8 23 49 17-6 
 Eg. 9 i i73 I- 6 
 
 May 8-676547 
 
 d h m s 
 
 Tr., Ing. May 8 14 9 1-7 
 Eg. 16 14 13-7 
 
 xlviii 
 
SATELLITE I 
 
 Approximate Tables 
 
 of true 
 
 Heliocentric and Geocentric Conjunction 
 
l/i'Sl:''*:: t-v 
 
 /A,; . ,,... 
 
 SATELLITE I 
 
 Approximate Tables of Conjunction 
 
 Epochs of Conjunction 
 
 I 
 
 z 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 
 Year 
 
 Conjunc- 
 tion 
 
 Variation 
 for ioo d 
 
 a 
 
 $ 
 
 y 
 
 
 
 1 
 
 
 
 d 
 
 
 d 
 
 
 A 
 
 A 
 
 d 
 
 
 1850 
 
 I'Ol69 
 
 ... 
 
 1786-1 
 
 333-32 
 
 0-5 
 
 I '34 2 
 
 '99 
 
 Column 2 corrected by the equations 
 
 
 
 
 
 
 
 
 
 from the following tables, gives 
 
 1851 
 
 0-6082 
 
 
 2150-8 
 
 299-03 
 
 365-1 
 
 1-048 
 
 "'4 
 
 superior conjunction as required 
 
 *1852 
 
 0-1995 
 
 , . . 
 
 2515-6 
 
 26474 
 
 364*4 
 
 753 
 
 28 
 
 for Eclipses and Occupations. 
 
 1853 
 
 0-5607 
 
 
 2882-1 
 
 232-21 
 
 0-3 
 
 466 
 
 '43 
 
 To find inferior conjunction for 
 
 1854 
 
 0-1519 
 
 
 
 32467 
 
 197-92 
 
 364-9 
 
 172 
 
 58 
 
 Shadows and Transits, add (or 
 
 1855 
 
 1-5132 
 
 ... 
 
 3613-2 
 
 165-40 
 
 07 
 
 1-648 
 
 73 
 
 subtract) one half the synodic 
 
 
 
 
 
 
 
 
 
 period, i. e. o d "8849, to the 
 
 *1856 
 
 1-1043 
 
 ... 
 
 3977-5 
 
 131-11 
 
 O'O 
 
 i-353 
 
 i i 
 
 numbers in columns 2, 4, 5, 6, 
 
 1857 
 
 1-4654 
 
 ... 
 
 1 1 '2 
 
 98-58 
 
 1-1 
 
 i -066 
 
 26 
 
 7,8. 
 
 1858 
 
 1-0566 
 
 ... 
 
 3757 
 
 64-29 
 
 o-5 
 
 772 
 
 41 
 
 
 1859 
 
 0-6479 
 
 
 740-2 
 
 30-00 
 
 3<55'i 
 
 478 
 
 56 
 
 The constant -o d- O333 has been 
 
 *186O 
 
 0-2392 
 
 ... 
 
 1104-9 
 
 394-59 
 
 364-4 
 
 184 
 
 71 
 
 applied to each of the entries 
 
 
 
 
 
 
 
 
 
 in column 2. 
 
 1861 
 
 0-6003 
 
 ... 
 
 H7I-5 
 
 362-07 
 
 0'2 
 
 1-659 
 
 86 
 
 
 1862 
 
 0-1918 
 
 ... 
 
 1836-4 
 
 3Z777 
 
 364-8 
 
 1-365 
 
 01 
 
 The constant - o d -O3O has been 
 
 1863 
 
 1-5529 
 
 . . . 
 
 22O2'8 
 
 295-25 
 
 0-7 
 
 1-078 
 
 16 
 
 applied to each of the entries 
 
 *1864 
 
 1-1440 
 
 
 
 2567-0 
 
 260-96 
 
 o-o 
 
 784 
 
 30 
 
 in column 7. 
 
 1865 
 
 1-5049 
 
 - 'OOOI 
 
 2932-8 
 
 228-44 
 
 I-I 
 
 "497 
 
 '45 
 
 
 
 
 
 
 
 
 
 
 The constant - o d 'O3 has been applied 
 
 1866 
 
 1-0959 
 
 - '0001 
 
 3296-9 
 
 194-14 
 
 0-4 
 
 203 
 
 60 
 
 to each of the entries in column 8. 
 
 1867 
 
 0-6868 
 
 - 'OOOI 
 
 3660-6 
 
 159-85 
 
 365-0 
 
 1-671 
 
 75 
 
 
 *1868 
 
 0-2780 
 
 . . 
 
 4024-9 
 
 125-56 
 
 364-3 
 
 '377 
 
 13 
 
 For Eclipses the argument y is not 
 
 1869 
 
 0-6391 
 
 ... 
 
 587 
 
 93-03 
 
 O'2 
 
 1-090 
 
 28 
 
 wanted. 
 
 187O 
 
 0-2306 
 
 + -oooi 
 
 4237 
 
 5874 
 
 364-8 
 
 796 
 
 43 
 
 
 1871 
 
 1-5920 
 
 + -oooi 
 
 790-8 
 
 26*22 
 
 0-6 
 
 508 
 
 58 
 
 
 *1872 
 
 1-1835 
 
 + -oooi 
 
 I156-2 
 
 390-81 
 
 365-1 
 
 214 
 
 73 
 
 
 1873 
 
 ''5449 
 
 . .. 
 
 1523-I 
 
 358-29 
 
 n 
 
 1-690 
 
 88 
 
 
 1874 
 
 1-1362 
 
 ... 
 
 1888-0 
 
 323-99 
 
 0-4 
 
 1-396 
 
 02 
 
 
 1875 
 
 07275 
 
 ... 
 
 2252-5 
 
 28970 
 
 365-0 
 
 rioi 
 
 17 
 
 
 *1876 
 
 0-3186 
 
 - -oooi 
 
 2616-5 
 
 2 55'4i 
 
 364-3 
 
 807 
 
 3* 
 
 
 1877 
 
 0-6794 
 
 - -oooi 
 
 2982*2 
 
 222-89 
 
 O-2 
 
 520 
 
 '47 
 
 
 1878 
 
 0-2703 
 
 - 'OOOI 
 
 3346-I 
 
 188-59 
 
 3647 
 
 226 
 
 62 
 
 
 1879 
 
 1-6312 
 
 ... 
 
 3711-8 
 
 156-07 
 
 0-6 
 
 1-702 
 
 oo 
 
 
 *1880 
 
 1-2224 
 
 ... 
 
 4076-3 
 
 12178 
 
 365-* 
 
 1-407 
 
 15 
 
 
 1881 
 
 1-5836 
 
 
 UO'4 
 
 89-25 
 
 i-o 
 
 I-I2O 
 
 30 
 
 
 1882 
 
 1-1752 
 
 + -oooi 
 
 475-6 
 
 54-96 
 
 0-4 
 
 826 
 
 45 
 
 
 1883 
 
 07667 
 
 + -oooi 
 
 840-8 
 
 20-67 
 
 364-9 
 
 '53* 
 
 60 
 
 
 *1884 
 
 0-3581 
 
 
 I205-8 
 
 385-26 
 
 364-3 
 
 2 3 8 
 
 75 
 
 
 1885 
 
 0-7192 
 
 ... 
 
 1572-2 
 
 35274 
 
 o-i 
 
 '713 
 
 89 
 
 
 1886 
 
 0-3104 
 
 
 1936-6 
 
 318-44 
 
 364-7 
 
 I-4I9 
 
 04 
 
 
 1887 
 
 1-6714 
 
 ... 
 
 23O2-6 
 
 285-92 
 
 0-5 
 
 I-I32 
 
 19 
 
 
 '1888 
 
 1-2625 
 
 . .. 
 
 2666-8 
 
 251-63 
 
 365-1 
 
 8 3 8 
 
 '34 
 
 
 1889 
 
 1-6235 
 
 ... 
 
 3032-8 
 
 219-1 1 
 
 ro 
 
 551 
 
 '49 
 
 
 1890 
 
 1-2147 
 
 ... 
 
 3397-3 
 
 184-81 
 
 o-3 
 
 2 5 6 
 
 64 
 
 
 1891 
 
 0-806 1 
 
 ... 
 
 3762-2 
 
 150-52 
 
 364-9 
 
 1725 
 
 02 
 
 
 "1892 
 
 0-3975 
 
 
 4I27-2 
 
 1 16-23 
 
 364-2 
 
 I-431 
 
 17 
 
 
 1893 
 
 0-7588 
 
 
 l6l'4 
 
 837i 
 
 o-i 
 
 I-I44 
 
 32 
 
 
 1894 
 
 0-3503 
 
 
 526-4 
 
 49-41 
 
 364-7 
 
 8 49 
 
 47 
 
 
 1895 
 
 1-7114 
 
 ... 
 
 892-9 
 
 16-89 
 
 0-5 
 
 562 
 
 61 
 
 
 *1896 
 
 1-3027 
 
 ... 
 
 >*57'4 
 
 381-48 
 
 365-' 
 
 268 
 
 76 
 
 
 1897 
 
 1-6637 
 
 . .. 
 
 1623-6 
 
 348-96 
 
 0-9 
 
 J'744 
 
 91 
 
 
 1898 
 
 1-2549 
 
 ... 
 
 1987-8 
 
 314-67 
 
 0-3 
 
 1-449 
 
 i -06 
 
 
 1899 
 
 0-8459 
 
 . . . 
 
 2352-0 
 
 280-37 
 
 364-9 
 
 1-155 
 
 I-2I 
 
 
 1900 
 
 o-437i 
 
 
 2716-4 
 
 246-08 
 
 364-2 
 
 861 
 
 1-36 
 
 
 Period 
 
 
 ... 
 
 4332-6 
 
 398-88 
 
 365-3 
 
 1-763 
 
 1-77 
 
 
I continued 
 
 SATELLITE I 
 
 Approximate Tables of Conjunction 
 
 Epochs of Conjunction 
 
 I 
 
 z 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 
 Year 
 
 Conjunc- 
 tion 
 
 Variation 
 for ioo d 
 
 a 
 
 ft 
 
 7 
 
 J 
 
 e 
 
 
 
 d 
 
 
 d 
 
 
 d 
 
 d 
 
 d 
 
 
 19OO 
 
 0-4371 
 
 
 2716-4 
 
 246-08 
 
 364-2 
 
 861 
 
 I- 3 6 
 
 Column 2 corrected by the equations 
 
 
 
 
 
 
 
 
 
 from the following tables, gives 
 
 19O1 
 
 0-0284 
 
 ... 
 
 3081-1 
 
 21179 
 
 363-5 
 
 567 
 
 I-5I 
 
 superior conjunction as required 
 
 19O2 
 
 1-3896 
 
 ... 
 
 3447-8 
 
 179-26 
 
 364-6 
 
 280 
 
 1-66 
 
 for Eclipses and Occultations. 
 
 1903 
 
 0-9810 
 
 
 3812-6 
 
 I44-97 
 
 364-0 
 
 1-748 
 
 04 
 
 To find inferior conjunction for 
 
 *19O4 
 
 0-5723 
 
 ... 
 
 4'77'3 
 
 110-68 
 
 363-3 
 
 i-454 
 
 19 
 
 Shadows and Transits, add (or 
 
 1905 
 
 0-9333 
 
 ... 
 
 210-8 
 
 78-16 
 
 364-4 
 
 1-167 
 
 34 
 
 subtract) one half the synodic 
 
 
 
 
 
 
 
 
 
 period, i. e. o d '8849, to the 
 
 19O6 
 
 0-5245 
 
 ... 
 
 575-2 
 
 43-86 
 
 3637 
 
 873 
 
 48 
 
 numbers in columns 2, 4. 5, 6, 
 
 19O7 
 
 0-1157 
 
 
 939-6 
 
 9'57 
 
 363-1 
 
 578 
 
 63 
 
 7,8. 
 
 *1908 
 
 1-4767 
 
 
 1305-9 
 
 375-93 
 
 364-2 
 
 291 
 
 78 
 
 
 19O9 
 
 o'o68o 
 
 ... 
 
 1670-5 
 
 34 I-6 4 
 
 363-5 
 
 1-760 
 
 '93 
 
 The constant -o d 'O333 has been 
 
 1910 
 
 1-4291 
 
 ... 
 
 2036-8 
 
 309-12 
 
 364-6 
 
 1-473 
 
 1-08 
 
 applied to each of the entries 
 
 
 
 
 
 
 
 
 
 in column 2. 
 
 1911 
 
 1-0205 
 
 
 2401*6 
 
 274-82 
 
 363-9 
 
 1-179 
 
 1-23 
 
 
 *1912 
 
 0-6118 
 
 ... 
 
 2766-3 
 
 240-53 
 
 363-3 
 
 884 
 
 1-38 
 
 The constant - o d 'O3o has been 
 
 1913 
 
 0-9730 
 
 ... 
 
 3132-8 
 
 208-01 
 
 364-4 
 
 '597 
 
 1-53 
 
 applied to each of the entries 
 
 1914 
 
 0-5642 
 
 
 3497*4 
 
 7372 
 
 3637 
 
 303 
 
 1-68 
 
 in column 7. 
 
 1915 
 
 0-1554 
 
 
 3861-8 
 
 i39'4 2 
 
 363^ 
 
 009 
 
 06 
 
 
 
 
 
 
 
 
 
 
 The constant -o d -O3 has been 
 
 *1916 
 
 1-5164 
 
 
 4227-9 
 
 106-90 
 
 3 6 4' 
 
 1-484 
 
 21 
 
 applied to each of the entries 
 
 1917 
 
 0-1076 
 
 ... 
 
 259-6 
 
 72-61 
 
 363-5 
 
 1-190 
 
 '35 
 
 in column 8. 
 
 1918 
 
 1-4687 
 
 
 626-0 
 
 40-08 
 
 364-6 
 
 903 
 
 50 
 
 
 1919 
 
 i -0600 
 
 ... 
 
 990-7 
 
 579 
 
 363-9 
 
 609 
 
 6 5 
 
 For Eclipses the argument y is not 
 
 *192O 
 
 0-6513 
 
 
 I355-5 
 
 370-38 
 
 363-2 
 
 315 
 
 80 
 
 wanted. 
 
 1921 
 
 1-0126 
 
 
 1722-1 
 
 337-86 
 
 364'3 
 
 028 
 
 '95 
 
 
 1922 
 
 0-6040 
 
 
 2087-1 
 
 303-57 
 
 3637 
 
 1-496 
 
 I-IO 
 
 
 1923 
 
 0-1951 
 
 
 2451-3 
 
 269-27 
 
 363-0 
 
 i -202 
 
 1-25 
 
 
 *1924 
 
 1-5562 
 
 
 2817-6 
 
 23675 
 
 364-1 
 
 915 
 
 I-40 
 
 
 1925 
 
 0-1471 
 
 - -oooi 
 
 3181-4 
 
 202-46 
 
 363-4 
 
 -621 
 
 I- 55 
 
 
 1926 
 
 1-5080 
 
 - "OOOI 
 
 3547-o 
 
 169-94 
 
 364-5 
 
 '334 
 
 170 
 
 
 1927 
 
 1-0989 
 
 - -oooi 
 
 3910-9 
 
 '35-<54 
 
 363'9 
 
 039 
 
 08 
 
 
 *1928 
 
 0-6901 
 
 
 4275-2 
 
 101-35 
 
 363-2 
 
 1-508 
 
 22 
 
 
 1929 
 
 1-0512 
 
 
 309-1 
 
 68-83 
 
 364-3 
 
 I'22I 
 
 '37 
 
 
 193O 
 
 0-6428 
 
 + 'OOOI 
 
 674-2 
 
 34-53 
 
 363-6 
 
 926 
 
 52 
 
 
 1931 
 
 0-2343 
 
 + 'OOOI 
 
 1039-5 
 
 0-24 
 
 363-0 
 
 632 
 
 6 7 
 
 
 *1932 
 
 1-5957 
 
 + -oooi 
 
 1406-6 
 
 366-60 
 
 364-1 
 
 '345 
 
 82 
 
 
 1933 
 
 0-1872 
 
 ... 
 
 1771-8 
 
 332-3I 
 
 363-4 
 
 051 
 
 '97 
 
 
 1934 
 
 1-5484 
 
 ... 
 
 2138-3 
 
 299-79 
 
 364-5 
 
 I-527 
 
 I-I2 
 
 
 1935 
 
 1-1396 
 
 ... 
 
 2502-7 
 
 265-49 
 
 363-8 
 
 I-232 
 
 1-27 
 
 
 *1936 
 
 0-7306 
 
 - -oooi 
 
 2866-7 
 
 231-20 
 
 363-1 
 
 938 
 
 I-42 
 
 
 1937 
 
 1-0914 
 
 - -oooi 
 
 3232-3 
 
 198-68 
 
 364-3 
 
 65, 
 
 1-57 
 
 
 1938 
 
 0-6823 
 
 - -oooi 
 
 3596-I 
 
 164-39 
 
 363-6 
 
 '357 
 
 171 
 
 
 1939 
 
 o'2734 
 
 
 3960-3 
 
 130-09 
 
 362-9 
 
 "063 
 
 9 
 
 
 *194O 
 
 '6345 
 
 ... 
 
 4326-5 
 
 97-57 
 
 364-0 
 
 '538 
 
 "24 
 
 
 1941 
 
 0-2260 
 
 + -oooi 
 
 358-9 
 
 63-28 
 
 363-3 
 
 1-244 
 
 39 
 
 
 1942 
 
 I-5873 
 
 + -oooi 
 
 725-9 
 
 30-76 
 
 364-4 
 
 957 
 
 54 
 
 
 1943 
 
 1-1787 
 
 ... 
 
 1091-0 
 
 395-35 
 
 363-8 
 
 663 
 
 69 
 
 
 *1944 
 
 0-7701 
 
 ... 
 
 I455-9 
 
 361-05 
 
 363-1 
 
 369 
 
 84 
 
 
 1945 
 
 1-1312 
 
 ... 
 
 1822-2 
 
 328-53 
 
 364-2 
 
 08 I 
 
 99 
 
 
 1946 
 
 0-7225 
 
 ... 
 
 2186-6 
 
 294-24 
 
 363-5 
 
 I-550 
 
 1-14 
 
 
 1947 
 
 0-3136 
 
 
 2550-8 
 
 259-95 
 
 362-9 
 
 1-256 
 
 1-29 
 
 
 '1948 
 
 1-6746 
 
 
 2916-9 
 
 227-42 
 
 364-0 
 
 969 
 
 1-44 
 
 
 1949 
 
 0-2657 
 
 ... 
 
 3281-3 
 
 I93-I3 
 
 363-3 
 
 674 
 
 1-58 
 
 
 195O 
 
 1-6269 
 
 ... 
 
 3647-6 
 
 1 60-6 1 
 
 364-4 
 
 -387 
 
 173 
 
 
 Period 
 
 ... 
 
 ... 
 
 4332-6 
 
 398-88 
 
 365-3 
 
 1763 
 
 177 
 
 
I continued 
 
 SATELLITE I 
 
 Approximate Tables of Conjunction 
 
 Epochs of Conjunction 
 
 
 
 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 
 Year 
 
 Conjunc- 
 
 Variation 
 
 a 
 
 ft 
 
 y 
 
 1 
 
 6 
 
 
 
 tion 
 
 for ioo d 
 
 
 
 / 
 
 
 
 
 
 d 
 
 
 d 
 
 
 d 
 
 d 
 
 d 
 
 
 195O 
 
 1*6269 
 
 . , . 
 
 3647-6 
 
 1 60-6 1 
 
 364H 
 
 387 
 
 1-73 
 
 Column 2 corrected by the equations 
 
 
 
 
 
 
 
 
 
 from the following tables, gives 
 
 1951 
 
 1-2182 
 
 ... 
 
 4012-5 
 
 126-31 
 
 363-7 
 
 93 
 
 11 
 
 superior conjunction as required 
 
 *1952 
 
 0-8096 
 
 
 44-8 
 
 92*02 
 
 363-1 
 
 1-562 
 
 26 
 
 for Eclipses and Occultations. 
 
 1953 
 
 1-1709 
 
 
 411*6 
 
 59'S 
 
 364-2 
 
 1-275 
 
 41 
 
 To find inferior conjunction for 
 
 1954 
 
 07623 
 
 
 776-4 
 
 25*21 
 
 363-5 
 
 980 
 
 * 5 6 
 
 Shadows and Transits, add (or 
 
 1955 
 
 o-3535 
 
 ... 
 
 1141*1 
 
 389*80 
 
 362-8 
 
 686 
 
 71 
 
 subtract) one half the synodic 
 
 
 
 
 
 
 
 
 
 period, i.e. o d *8849, to the 
 
 -1956 
 
 17147 
 
 * . 
 
 i5 7-3 
 
 357-27 
 
 364-0 
 
 "399 
 
 86 
 
 numbers in columns 2, 4, 5, 6, 
 
 1957 
 
 0-3058 
 
 . . . 
 
 18717 
 
 322*98 
 
 363-3 
 
 105 
 
 oi 
 
 7, 8. 
 
 1958 
 
 r6668 
 
 . .. 
 
 22377 
 
 290*46 
 
 364-4 
 
 1-580 
 
 16 
 
 
 1959 
 
 1-2580 
 
 
 
 2602*1 
 
 256*17 
 
 3637 
 
 1-286 
 
 "3- 
 
 The constant o d- O333 has been 
 
 *1960 
 
 0-8492 
 
 
 2966*6 
 
 221*87 
 
 363-0 
 
 992 
 
 '45 
 
 applied to each of the entries 
 
 
 
 
 
 
 
 
 
 in column 2. 
 
 1961 
 
 1*2104 
 
 ... 
 
 3333-2 
 
 89-35 
 
 364-I 
 
 705 
 
 60 
 
 
 1962 
 
 0-8017 
 
 . . . 
 
 3698*0 
 
 155-06 
 
 363-5 
 
 411 
 
 75 
 
 The constant o d 'O3O has been 
 
 1963 
 
 0-3931 
 
 ... 
 
 4062*7 
 
 12076 
 
 362*8 
 
 116 
 
 13 
 
 applied to each of the entries 
 
 *1964 
 
 17542 
 
 ... 
 
 96-5 
 
 88*24 
 
 363-9 
 
 1-592 
 
 28 
 
 in column 7. 
 
 1965 
 
 0-3453 
 
 ... 
 
 460-8 
 
 53-95 
 
 363*2 
 
 1*298 
 
 '43 
 
 
 
 
 
 
 
 
 
 
 The constant o d *o3 has been 
 
 1966 
 
 17064 
 
 . . . 
 
 827*0 
 
 21-43 
 
 364'4 
 
 I -01 1 
 
 58 
 
 applied to each of the entries 
 
 1967 
 
 1-2977 
 
 . . . 
 
 1191-6 
 
 386-02 
 
 3637 
 
 717 
 
 73 
 
 in column 8. 
 
 *1968 
 
 0-8887 
 
 ... 
 
 I555-9 
 
 35-72 
 
 363-0 
 
 422 
 
 88 
 
 
 1969 
 
 1-2499 
 
 ... 
 
 1922*3 
 
 319*20 
 
 364-1 
 
 135 
 
 03 
 
 For Eclipses the argument y is not 
 
 197O 
 
 0-8413 
 
 ... 
 
 2287*1 
 
 284-91 
 
 363-4 
 
 1-604 
 
 17 
 
 wanted. 
 
 1971 
 
 0-4326 
 
 
 
 2651-9 
 
 250-62 
 
 362-8 
 
 1*310 
 
 3* 
 
 
 *1972 
 
 0*0239 
 
 ... 
 
 3016-6 
 
 216-32 
 
 362-I 
 
 1-015 
 
 '47 
 
 
 1973 
 
 0-3850 
 
 . .. 
 
 3383-I 
 
 183-80 
 
 363-2 
 
 728 
 
 62 
 
 
 1974 
 
 17461 
 
 ... 
 
 3749'* 
 
 151-28 
 
 364-3 
 
 441 
 
 oo 
 
 
 1975 
 
 1-337* 
 
 ... 
 
 4 1I 3 > 5 
 
 116-99 
 
 363-6 
 
 147 
 
 5 
 
 
 *1976 
 
 0-9284 
 
 
 I45-3 
 
 82*69 
 
 363-0 
 
 1-615 
 
 30 
 
 
 1977 
 
 1-2897 
 
 
 512-1 
 
 50*17 
 
 364-1 
 
 1-328 
 
 '45 
 
 
 1978 
 
 0-8807 
 
 ... 
 
 876-0 
 
 15-88 
 
 363H 
 
 1-034 
 
 60 
 
 
 1979 
 
 0-4719 
 
 
 12407 
 
 380-47 
 
 3627 
 
 740 
 
 75 
 
 
 *1980 
 
 0-0634 
 
 ... 
 
 16057 
 
 346-18 
 
 362'! 
 
 446 
 
 90 
 
 
 1981 
 
 0-4247 
 
 ... 
 
 1972-4 
 
 3-3-65 
 
 363-* 
 
 '-59 
 
 4 
 
 
 1982 
 
 o - oi6i 
 
 
 2337-3 
 
 279-36 
 
 362-5 
 
 1-627 
 
 19 
 
 
 1983 
 
 1-3772 
 
 ... 
 
 2703-6 
 
 246-84 
 
 363-6 
 
 1-340 
 
 34 
 
 
 *1984 
 
 0-9682 
 
 
 3067*6 
 
 212-54 
 
 362-9 
 
 1-046 
 
 '49 
 
 
 1985 
 
 1-3*94 
 
 - -oooi 
 
 3433-2 
 
 180-02 
 
 364-0 
 
 759 
 
 64 
 
 
 1986 
 
 0-9199 
 
 - -0001 
 
 379 6 '9 
 
 H5-73 
 
 363-4 
 
 464 
 
 02 
 
 
 1987 
 
 0-5109 
 
 . . . 
 
 4160*8 
 
 111*44 
 
 362*7 
 
 170 
 
 17 
 
 
 *1988 
 
 O-IO2I 
 
 
 1927 
 
 77-14 
 
 362-0 
 
 1-639 
 
 3* 
 
 
 1989 
 
 0-4633 
 
 
 559-3 
 
 44-62 
 
 363-1 
 
 1-352 
 
 '47 
 
 
 199O 
 
 0-0547 
 
 -1- -oooi 
 
 924-4 
 
 '0-33 
 
 362-5 
 
 1-057 
 
 62 
 
 
 1991 
 
 I'4l62 
 
 + -oooi 
 
 1291*5 
 
 376-69 
 
 363-6 
 
 770 
 
 77 
 
 
 *1992 
 
 1-0077 
 
 + "OOOI 
 
 1656-8 
 
 342-40 
 
 362*9 
 
 476 
 
 92 
 
 
 1993 
 
 1*3690 
 
 
 20237 
 
 309-87 
 
 364-0 
 
 189 
 
 06 
 
 
 1994 
 
 0-9604 
 
 
 2388*4 
 
 275*58 
 
 363-3 
 
 1-658 
 
 21 
 
 
 1995 
 
 0-5516 
 
 - -oooi 
 
 27527 
 
 241-29 
 
 3627 
 
 1-363 
 
 3 6 
 
 
 *1996 
 
 0-1425 
 
 - -oooi 
 
 3116*5 
 
 207-00 
 
 362-0 
 
 1*069 
 
 'SI 
 
 
 1997 
 
 0-5032 
 
 - 'OOOI 
 
 3482-1 
 
 I74-47 
 
 363-I 
 
 782 
 
 66 
 
 
 1998 
 
 0-0943 
 
 - -oooi 
 
 3846-0 
 
 140-18 
 
 362-4 
 
 488 
 
 04 
 
 
 1999 
 
 I- 4552 
 
 ... 
 
 4212-0 
 
 107-66 
 
 363-5 
 
 201 
 
 19 
 
 
 *2OOO 
 
 1-0465 
 
 ... 
 
 243-9 
 
 73-36 
 
 362-9 
 
 1-669 
 
 "34 
 
 
 Period 
 
 ... 
 
 ... 
 
 4332-6 
 
 398-88 
 
 365-3 
 
 1-763 
 
 177 
 
 
II 
 
 SATELLITE I 
 
 Approximate Tables of Conjunction 
 
 Motions of the Arguments 
 
 I 
 
 2 
 
 3 
 
 4 
 
 5 
 
 I 
 
 i 
 
 3 
 
 4 
 
 5 
 
 Syn.Rev. 
 
 Date 
 
 , ft, 7 
 
 3 
 
 e 
 
 Syn. Rev. 
 
 Date 
 
 , ft, 7 
 
 s 
 
 e 
 
 1 
 
 d 
 
 January 1-7699 
 
 d 
 1-77 
 
 d 
 007 
 
 d 
 
 oo 
 
 53 
 
 d 
 
 April 3-8026 
 
 d 
 93-80 
 
 d 
 378 
 
 d 
 04 
 
 2 
 
 3-5397 
 
 3'54 
 
 014 
 
 oo 
 
 54 
 
 5-5725 
 
 95-57 
 
 385 
 
 04 
 
 3 
 
 5-3096 
 
 5-31 
 
 O2 I 
 
 oo 
 
 55 
 
 7-3423 
 
 97-34 
 
 392 
 
 4 
 
 4 
 
 7-0794 
 
 7-08 
 
 "029 
 
 oo 
 
 56 
 
 9*1 122 
 
 99-11 
 
 399 
 
 04 
 
 5 
 
 8-8493 
 
 8-85 
 
 036 
 
 oo 
 
 57 
 
 10-8820 
 
 100-88 
 
 406 
 
 4 
 
 6 
 
 10-6192 
 
 10-62 
 
 "43 
 
 oo 
 
 68 
 
 12-6519 
 
 102-65 
 
 413 
 
 4 
 
 7 
 
 12-3890 
 
 12-39 
 
 050 
 
 01 
 
 59 
 
 14-4218 
 
 1 04*42 
 
 421 
 
 4 
 
 8 
 
 14-1589 
 
 14-16 
 
 057 
 
 oi 
 
 60 
 
 16-1916 
 
 106-19 
 
 428 
 
 04 
 
 9 
 
 15-9287 
 
 I5-93 
 
 064 
 
 oi 
 
 61 
 
 17-9615 
 
 107-96 
 
 435 
 
 04 
 
 1O 
 
 17-6986 
 
 17-70 
 
 071 
 
 oi 
 
 62 
 
 I973H 
 
 10973 
 
 442 
 
 04 
 
 11 
 
 19-4685 
 
 19-47 
 
 078 
 
 oi 
 
 63 
 
 21-5012 
 
 111-50 
 
 '449 
 
 5 
 
 12 
 
 21-2383 
 
 21-24 
 
 086 
 
 oi 
 
 64 
 
 23-27II 
 
 113-27 
 
 456 
 
 OJ 
 
 13 
 
 23-0082 
 
 23-01 
 
 "93 
 
 oi 
 
 65 
 
 25-0409 
 
 115-04 
 
 "463 
 
 05 
 
 14 
 
 24-7780 
 
 24-78 
 
 ioo 
 
 oi 
 
 66 
 
 26-8I08 
 
 116-81 
 
 470 
 
 05 
 
 15 
 
 26-5479 
 
 26-55 
 
 107 
 
 oi 
 
 67 
 
 28-5807 
 
 118-58 
 
 478 
 
 5 
 
 16 
 
 28-3178 
 
 28-32 
 
 114 
 
 oi 
 
 68 
 
 3'355 
 
 120-35 
 
 485 
 
 05 
 
 17 
 
 30-0876 
 
 30-09 
 
 121 
 
 oi 
 
 69 
 
 May 2-1204 
 
 122'12 
 
 492 
 
 'OS 
 
 18 
 
 3I-8575 
 
 31-86 
 
 128 
 
 oi 
 
 70 
 
 3-8902 
 
 123-89 
 
 "499 
 
 05 
 
 19 
 
 February 2-6273 
 
 33' 6 3 
 
 '35 
 
 oi 
 
 71 
 
 5-6601 
 
 I25-66 
 
 506 
 
 5 
 
 2O 
 
 4-3972 
 
 35-4 
 
 'H3 
 
 oi 
 
 72 
 
 7-4300 
 
 I27-43 
 
 513 
 
 5 
 
 21 
 
 6-1671 
 
 37-17 
 
 150 
 
 02 
 
 73 
 
 9-1998 
 
 129-2O 
 
 520 
 
 05 
 
 22 
 
 7-9369 
 
 38-94 
 
 157 
 
 02 
 
 74 
 
 10-9697 
 
 I30-97 
 
 528 
 
 5 
 
 23 
 
 9-7068 
 
 40-71 
 
 164 
 
 02 
 
 75 
 
 12-7395 
 
 13274 
 
 '535 
 
 05 
 
 24 
 
 11-4767 
 
 42-48 
 
 171 
 
 02 
 
 76 
 
 14-5094 
 
 I34'5i 
 
 542 
 
 05 
 
 25 
 
 13-2465 
 
 44" 2 5 
 
 178 
 
 02 
 
 77 
 
 16-2793 
 
 136-28 
 
 '549 
 
 06 
 
 26 
 
 15-0164 
 
 46-02 
 
 185 
 
 02 
 
 78 
 
 18-0491 
 
 138-05 
 
 556 
 
 06 
 
 27 
 
 16-7862 
 
 4779 
 
 192 
 
 02 
 
 79 
 
 19-8190 
 
 139-82 
 
 563 
 
 06 
 
 28 
 
 18-5561 
 
 49-56 
 
 200 
 
 O2 
 
 80 
 
 21-5888 
 
 141-59 
 
 570 
 
 06 
 
 29 
 
 20-3260 
 
 S' - 33 
 
 207 
 
 O2 
 
 81 
 
 23-3587 
 
 I43-36 
 
 '577 
 
 06 
 
 3O 
 
 22-0958 
 
 53-io 
 
 214 
 
 02 
 
 82 
 
 25-1286 
 
 HS-I3 
 
 585 
 
 06 
 
 31 
 
 23-8657 
 
 54-87 
 
 221 
 
 O2 
 
 83 
 
 3-6-8984 
 
 146*90 
 
 592 
 
 06 
 
 32 
 
 25-6355 
 
 56-64 
 
 228 
 
 O2 
 
 84 
 
 28-6683 
 
 148-67 
 
 '599 
 
 06 
 
 33 
 
 27-4054 
 
 58-41 
 
 235 
 
 02 
 
 85 
 
 30-4381 
 
 150-44 
 
 606 
 
 06 
 
 34 
 
 March i'i753 
 
 60- 1 8 
 
 242 
 
 O2 
 
 86 
 
 June 1-2080 
 
 152-21 
 
 613 
 
 06 
 
 35 
 
 2-9451 
 
 61-95 
 
 250 
 
 03 
 
 87 
 
 2-9779 
 
 I53-9 8 
 
 620 
 
 06 
 
 36 
 
 47150 
 
 63-72 
 
 257 
 
 03 
 
 88 
 
 47477 
 
 '5575 
 
 627 
 
 06 
 
 37 
 
 6-4848 
 
 65-48 
 
 264 
 
 "03 
 
 89 
 
 6-5176 
 
 157-52 
 
 634 
 
 06 
 
 38 
 
 8-2547 
 
 67-25 
 
 271 
 
 '3 
 
 90 
 
 8-2874 
 
 I59-29 
 
 642 
 
 06 
 
 39 
 
 10-0246 
 
 69-02 
 
 2 7 8 
 
 03 
 
 91 
 
 10-0573 
 
 161-06 
 
 649 
 
 07 
 
 40 
 
 11-7944 
 
 70-79 
 
 285 
 
 "3 
 
 92 
 
 1 1-8272 
 
 162-83 
 
 656 
 
 07 
 
 41 
 
 i3-5 6 43 
 
 72-56 
 
 2 9 2 
 
 03 
 
 93 
 
 13-5970 
 
 164-60 
 
 663 
 
 07 
 
 42 
 
 I5-334I 
 
 74-33 
 
 2 99 
 
 3 
 
 94 
 
 15-3669 
 
 166-37 
 
 670 
 
 07 
 
 43 
 
 17-1040 
 
 76-10 
 
 307 
 
 03 
 
 95 
 
 17-1367 
 
 168-14 
 
 677 
 
 07 
 
 44 
 
 18-8739 
 
 77-87 
 
 3H 
 
 3 
 
 96 
 
 18-9066 
 
 169-91 
 
 684 
 
 07 
 
 45 
 
 20-6437 
 
 79-64 
 
 321 
 
 03 
 
 97 
 
 20-6765 
 
 171-68 
 
 691 
 
 07 
 
 46 
 
 22-4136 
 
 81-41 
 
 3*8 
 
 03 
 
 98 
 
 22-4463 
 
 I73-45 
 
 699 
 
 07 
 
 47 
 
 24-1834 
 
 83-18 
 
 '335 
 
 3 
 
 99 
 
 24-2162 
 
 175-22 
 
 706 
 
 07 
 
 48 
 
 25'9533 
 
 84-95 
 
 342 
 
 3 
 
 IOO 
 
 25-9860 
 
 176-99 
 
 713 
 
 07 
 
 49 
 
 27-7232 
 
 86-72 
 
 '349 
 
 04 
 
 1O1 
 
 277559 
 
 17876 
 
 720 
 
 07 
 
 5O 
 
 29-4930 
 
 88-49 
 
 356 
 
 04 
 
 102 
 
 29-5258 
 
 180-53 
 
 727 
 
 07 
 
 51 
 
 31-2629 
 
 90*26 
 
 364 
 
 04 
 
 103 
 
 July 1-2956 
 
 182-30 
 
 734 
 
 07 
 
 52 
 
 April 2-0327 
 
 92-03 
 
 371 
 
 4 
 
 104 
 
 3-0655 
 
 184-07 
 
 741 
 
 08 
 
 In leap Year, diminish the date in Column 2 by i" after Feb. 28. 
 
 The entries to he added to those of Table I. 
 
II continued 
 
 SATELLITE I 
 
 Approximate Tables of Conjunction 
 
 Motions of the Arguments 
 
 I 
 
 2 
 
 3 
 
 4 
 
 5 
 
 I 
 
 2 
 
 3 
 
 4 
 
 5 
 
 Syn.Eev. 
 
 Date 
 
 , I 8 , 7 
 
 1 
 
 e 
 
 Syn. Rev. 
 
 Date 
 
 i ft, 7 
 
 $ 
 
 e 
 
 1O5 
 
 d 
 
 July 4-8354 
 
 d 
 185-84 
 
 d 
 
 "749 
 
 d 
 *08 
 
 157 
 
 d 
 
 October 4-8681 
 
 d 
 277^7 
 
 d 
 I-II9 
 
 d 
 II 
 
 106 
 
 6-6052 
 
 187-61 
 
 756 
 
 08 
 
 158 
 
 6-6380 
 
 279- 6 4 
 
 I-I26 
 
 I I 
 
 1O7 
 
 S'375 1 
 
 189-38 
 
 763 
 
 08 
 
 159 
 
 8-4078 
 
 281-41 
 
 ri 33 
 
 II 
 
 108 
 
 10-1449 
 
 I9I-I4 
 
 770 
 
 08 
 
 160 
 
 10-1777 283-18 
 
 1-141 
 
 12 
 
 109 
 
 11*9148 
 
 I92-9I 
 
 777 
 
 08 
 
 161 
 
 "9475 
 
 284-95 
 
 1*148 
 
 '12 
 
 110 
 
 13-6847 
 
 194-68 
 
 784 
 
 08 
 
 162 
 
 13-7174 
 
 28672 
 
 1*155 
 
 12 
 
 111 
 
 I5-4545 
 
 196-45 
 
 791 
 
 08 
 
 163 
 
 i5-4 8 73 
 
 288-49 
 
 1-162 
 
 12 
 
 112 
 
 17-2244 
 
 198-22 
 
 798 
 
 08 
 
 164 
 
 17-2571 
 
 290-26 
 
 1*169 -12 
 
 113 
 
 18-9942 
 
 199-99 
 
 806 
 
 08 
 
 165 
 
 19-0270 
 
 292-03 
 
 I-I76 
 
 12 
 
 114 
 
 20-7641 
 
 201-76 
 
 813 
 
 08 
 
 166 
 
 20-7968 
 
 293-80 
 
 I-I83 
 
 12 
 
 115 
 
 22-5340 
 
 203-53 
 
 820 
 
 08 
 
 167 
 
 22-5667 
 
 295-57 
 
 I-igO 
 
 12 
 
 116 
 
 24-3038 
 
 205-30 
 
 827 
 
 08 
 
 168 
 
 24-3366 
 
 297-34 
 
 I-I98 
 
 12 
 
 117 
 
 26-7037 
 
 207-70 
 
 834 
 
 08 
 
 169 
 
 26-1064 
 
 2 9 9-U 
 
 I*2O5 
 
 '12 
 
 118 
 
 27-8435 
 
 208-84 
 
 841 
 
 09 
 
 170 
 
 27-8763 
 
 300-88 
 
 I '2 I 2 
 
 12 
 
 119 
 
 29-6134 
 
 210-61 
 
 848 
 
 9 
 
 171 
 
 29-6461 
 
 302-65 
 
 1*219 
 
 12 
 
 120 
 
 3'-3833 
 
 212-38 
 
 855 
 
 9 
 
 172 
 
 31-4160 
 
 304-42 
 
 I*226 
 
 '12 
 
 121 
 
 August 2-1531 
 
 214-15 
 
 863 
 
 9 
 
 173 
 
 November 2-1859 
 
 306-19 
 
 1*233 
 
 12 
 
 122 
 
 3-9230 
 
 215-92 
 
 870 
 
 09 
 
 174 
 
 3-9557 
 
 307-96 
 
 I'24O 
 
 13 
 
 123 
 
 5-6928 
 
 217-69 
 
 877 
 
 9 
 
 175 
 
 5-7256 
 
 30973 
 
 1-248 
 
 13 
 
 124 
 
 7-4627 
 
 219-46 
 
 884 
 
 9 
 
 176 
 
 7-4954 
 
 3II-50 
 
 1-255 
 
 *I 3 
 
 125 
 
 9-2326 
 
 221-23 
 
 891 
 
 *0 9 
 
 177 
 
 9-2653 
 
 313^7 
 
 I-262 
 
 '3 
 
 126 
 
 11-0024 
 
 223-00 
 
 898 
 
 09 
 
 178 
 
 11-0352 
 
 3I5-04 
 
 1-269 
 
 13 
 
 127 
 
 1*7723 
 
 224-77 
 
 905 
 
 9 
 
 179 
 
 12-8050 
 
 3l6-8l 
 
 1-276 
 
 13 
 
 128 
 
 14-5421 
 
 226-54 
 
 912 
 
 *0 9 
 
 18O 
 
 H'5749 
 
 318-57 
 
 1-283 
 
 13 
 
 129 
 
 16-3120 
 
 228-31 
 
 920 
 
 9 
 
 181 
 
 I6-3447 
 
 320-34 
 
 I-29O 
 
 13 
 
 130 
 
 18-0819 
 
 230-08 
 
 927 
 
 09 
 
 182 
 
 18-1146 
 
 322'H 
 
 1*297 
 
 13 
 
 131 
 
 19-8517 
 
 231-85 
 
 '934 
 
 *IO 
 
 183 
 
 19-8845 
 
 323-88 
 
 1-305 
 
 '3 
 
 132 
 
 21*6216 
 
 233-62 
 
 941 
 
 *IO 
 
 184 
 
 21-6543 
 
 325^5 
 
 1*312 
 
 >3 
 
 133 
 
 23-3914 
 
 235-39 
 
 948 
 
 10 
 
 185 
 
 23-4242 
 
 327-4* 
 
 I-3I 9 
 
 -13 
 
 134 
 
 25-1613 
 
 137-16 
 
 '955 
 
 10 
 
 186 
 
 25-1941 
 
 329-I9 
 
 I-326 
 
 13 
 
 135 
 
 26-9312 
 
 238-93 
 
 962 
 
 io 
 
 187 
 
 26-9639 
 
 330-96 
 
 1-333 
 
 -I 4 
 
 136 
 
 28-7010 
 
 240-70 
 
 -970 
 
 io 
 
 188 
 
 287338 
 
 33273 
 
 I-340 
 
 14 
 
 137 
 
 30-4709 
 
 242-47 
 
 '977 
 
 io 
 
 189 
 
 30-5036 
 
 334-50 
 
 1-347 
 
 H 
 
 138 
 
 September 1-2407 
 
 244-24 
 
 984 
 
 IO 
 
 19O 
 
 December 2-2735 
 
 336-27 
 
 i"354 
 
 '4 
 
 139 
 
 3-0106 
 
 246-01 
 
 991 
 
 io 
 
 191 
 
 4-0434 
 
 338-04 
 
 1*362 
 
 H 
 
 140 
 
 4-7805 
 
 247-78 
 
 998 
 
 io 
 
 192 
 
 5-8132 
 
 339-8I 
 
 1-369 
 
 -'4 
 
 141 
 
 6-5503 
 
 249-55 
 
 1-005 
 
 io 
 
 193 
 
 7-583I 
 
 34'-58 
 
 1*376 
 
 >4 
 
 142 
 
 8-3202 
 
 251-32 
 
 JTOI2 
 
 IO 
 
 194 
 
 9-3529 
 
 343-35 
 
 1-383 
 
 H 
 
 143 
 
 10-0901 
 
 253-09 
 
 I-OI9 
 
 *IO 
 
 195 
 
 11-1228 
 
 345-1* 
 
 1*390 
 
 *4 
 
 144 
 
 11-8599 
 
 254-86 
 
 I-O27 
 
 io 
 
 196 
 
 12-8927 
 
 346-89 
 
 1-397 
 
 '4 
 
 145 
 
 13-6298 
 
 256-63 
 
 1-034 
 
 IO 
 
 197 
 
 14-6625 
 
 348-66 
 
 1*404 
 
 '4 
 
 146 
 
 15-3996 
 
 258-40 
 
 I-04I 
 
 II 
 
 198 
 
 16-4324 
 
 350-43 
 
 1-411 
 
 '4 
 
 147 
 
 17-1695 
 
 260-17 
 
 1-048 
 
 II 
 
 199 
 
 18-2022 
 
 352-20 
 
 1*419 
 
 H 
 
 148 
 
 18-9394 
 
 261*94 
 
 1-055 
 
 I I 
 
 2OO 
 
 19-9721 
 
 353-97 
 
 1-426 
 
 'H 
 
 149 
 
 20-7092 
 
 263-71 
 
 I-O62 
 
 II 
 
 201 
 
 21-7420 
 
 35574 
 
 1-433 
 
 IS 
 
 150 
 
 22-4791 
 
 265-48 
 
 1*069 
 
 II 
 
 2O2 
 
 23-5118 
 
 357-5' 
 
 1-440 
 
 15 
 
 151 
 
 24-2489 
 
 267-25 
 
 I-076 
 
 II 
 
 203 
 
 25-2817 
 
 359-28 
 
 1-447 
 
 15 
 
 152 
 
 26-0188 
 
 269-02 
 
 1-084 
 
 II 
 
 204 
 
 *7-o5'5 
 
 361*05 
 
 1-454 
 
 '5 
 
 153 
 
 27-7887 
 
 270-79 
 
 I*09I 
 
 II 
 
 205 
 
 28*8214 
 
 362-82 
 
 1-46, 
 
 i5 
 
 154 
 
 29-5585 
 
 272-56 
 
 1-098 
 
 II 
 
 2O6 
 
 30-5913 
 
 364-59 
 
 1*469 
 
 15 
 
 155 
 
 October 1-3284 
 
 274-33 
 
 I-I05 
 
 I I 
 
 2O7 
 
 32-3611 
 
 366-36 
 
 1-476 
 
 '5 
 
 156 
 
 3-0982 
 
 276-10 
 
 n 12 
 
 II 
 
 
 
 
 
 
 In Leap Year, diminish the date in Column 2 by i d after Feb. 28. 
 
 6 
 
 The entries to be added to those of Table I. 
 
Ill 
 
 SATELLITE I 
 
 Approximate Tables of Conjunction 
 
 Equation of Conjunction Argument a EC., Oc., Sh., Tr. 
 
 I 
 
 2 
 
 3 
 
 i 
 
 
 
 3 
 
 i 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 
 
 2 
 
 3 
 
 a 
 
 Equation 
 
 A 
 ID* 
 
 a 
 
 Equation 
 
 A 
 I0< 
 
 a 
 
 Equation 
 
 A 
 I0 d 
 
 a 
 
 Equation 
 
 A 
 I0d 
 
 a 
 
 Equation 
 
 A 
 IO" 
 
 d 
 
 o 
 
 d 
 CTO3OO 
 
 + 4,2 
 
 d 
 
 1000 
 
 d 
 
 0-0572 
 
 + 0,3 
 
 d 
 
 2000 
 
 d 
 0-0361 
 
 -3,5 
 
 d 
 
 3000 
 
 d 
 O'OO5I 
 
 -',5 
 
 d 
 4000 
 
 d 
 
 0-0167 
 
 + 3,5 
 
 20 
 
 308 
 
 4. z 
 
 102O 
 
 572 
 
 0,0 
 
 2O2O 
 
 354 
 
 3,5 
 
 3020 
 
 48 
 
 ',5 
 
 4020 
 
 74 
 
 3,8 
 
 4O 
 
 3>7 
 
 4,* 
 
 1O4O 
 
 57* 
 
 0,0 
 
 2040 
 
 347 
 
 3,8 
 
 3040 
 
 45 
 
 ',3 
 
 4040 
 
 182 
 
 3,8 
 
 60 
 
 325 
 
 4. 
 
 1O6O 
 
 572 
 
 0,0 
 
 2O6O 
 
 339 
 
 3,8 
 
 3060 
 
 43 
 
 >,3 
 
 4O6O 
 
 189 
 
 3,8 
 
 80 
 
 333 
 
 4, 2 
 
 1O80 
 
 572 
 
 -o,3 
 
 2O80 
 
 332 
 
 3,5 
 
 3O8O 
 
 40 
 
 i,3 
 
 4080 
 
 197 
 
 4,o 
 
 10O 
 
 34 Z 
 
 4,2 
 
 1 100 
 
 57' 
 
 ,3 
 
 21 OO 
 
 325 
 
 3,8 
 
 3100 
 
 38 
 
 1,0 
 
 4100 
 
 205 
 
 4,o 
 
 120 
 
 0-0350 
 
 + 4,0 
 
 1120 
 
 0-0571 
 
 -o,3 
 
 21 2O 
 
 0-0317 
 
 -3,8 
 
 3120 
 
 0-0036 
 
 -1,0 
 
 4120 
 
 0-0213 
 
 + 4,o 
 
 140 
 
 358 
 
 4,0 
 
 1140 
 
 570 
 
 o,5 
 
 21 4O 
 
 310 
 
 3,8 
 
 3140 
 
 34 
 
 1,0 
 
 4140 
 
 221 
 
 4,o 
 
 160 
 
 366 
 
 4,0 
 
 1160 
 
 569 
 
 0,8 
 
 21 6O 
 
 302 
 
 3,8 
 
 3160 
 
 32 
 
 0,8 
 
 4160 
 
 22 9 
 
 4,o 
 
 180 
 
 374 
 
 4,o 
 
 1180 
 
 567 
 
 ,o 
 
 21 SO 
 
 295 
 
 3,5 
 
 3180 
 
 3' 
 
 o,5 
 
 4180 
 
 237 
 
 4,0 
 
 200 
 
 382 
 
 4,o 
 
 12OO 
 
 565 
 
 ,o 
 
 22OO 
 
 288 
 
 3 ; 8 
 
 3200 
 
 30 
 
 o,5 
 
 4200 
 
 245 
 
 4,o 
 
 22O 
 
 0-0390 
 
 + 4, 
 
 122O 
 
 0-0563 
 
 - ,o 
 
 222O 
 
 0-0280 
 
 -3,8 
 
 322O 
 
 0-0029 
 
 -o,5 
 
 422O 
 
 0-0253 
 
 + 4,0 
 
 24O 
 
 39 8 
 
 4.o 
 
 124O 
 
 561 
 
 ,o 
 
 2240 
 
 273 
 
 3,8 
 
 324O 
 
 28 
 
 -0,3 
 
 4240 
 
 2 6l 
 
 4,3 
 
 26O 
 
 406 
 
 3,8 
 
 126O 
 
 559 
 
 ,o 
 
 2260 
 
 265 
 
 3,8 
 
 326O 
 
 28 
 
 0,0 
 
 4260 
 
 27O 
 
 4,3 
 
 28O 
 
 4'3 
 
 3,8 
 
 128O 
 
 557 
 
 ,3 
 
 2280 
 
 258 
 
 3,5 
 
 328O 
 
 28 
 
 0,0 
 
 4280 
 
 2 7 8 
 
 4,o 
 
 300 
 
 421 
 
 3,8 
 
 13OO 
 
 554 
 
 ,5 
 
 23OO 
 
 251 
 
 3,8 
 
 33OO 
 
 28 
 
 0,0 
 
 4300 
 
 286 
 
 4,3 
 
 32O 
 
 0-0428 
 
 + 3,8 
 
 1320 
 
 0-0551 
 
 - ,5 
 
 2320 
 
 0-0243 
 
 -3,8 
 
 332O 
 
 0-0028 
 
 0,0 
 
 4320 
 
 O'O295 
 
 + 4,3 
 
 3*0 
 
 436 
 
 3,8 
 
 134O 
 
 548 
 
 ,8 
 
 2340 
 
 236 
 
 3,5 
 
 334O 
 
 28 
 
 + 0,3 
 
 4340 
 
 303 
 
 4, 
 
 36O 
 
 443 
 
 3,5 
 
 1360 
 
 544 
 
 ,8 
 
 2360 
 
 229 
 
 3,5 
 
 336O 
 
 2 9 
 
 o,5 
 
 4360 
 
 311 
 
 4-3 
 
 38O 
 
 450 
 
 . 3,5 
 
 1380 
 
 54' 
 
 ,8 
 
 238O 
 
 222 
 
 3,5 
 
 338O 
 
 30 
 
 ,5 
 
 4380 
 
 320 
 
 4,3 
 
 400 
 
 457 
 
 3,3 
 
 1400 
 
 537 
 
 2,0 
 
 2400 
 
 2I 5 
 
 3,5 
 
 3400 
 
 3i 
 
 o,5 
 
 4400 
 
 328 
 
 4,o 
 
 42O 
 
 0-0463 
 
 + 3,3 
 
 142O 
 
 0-0533 
 
 -2,0 
 
 2420 
 
 0-0208 
 
 -3,5 
 
 342O 
 
 0-0032 
 
 + 0,8 
 
 442O 
 
 0-0336 
 
 + 4,3 
 
 44O 
 
 47 
 
 3,3 
 
 1440 
 
 529 
 
 2,0 
 
 2440 
 
 2OI 
 
 3,5 
 
 3440 
 
 34 
 
 ',o 
 
 4440 
 
 345 
 
 4,3 
 
 46O 
 
 476 
 
 3,o 
 
 1460 
 
 525 
 
 2,0 
 
 2460 
 
 194 
 
 3,5 
 
 346O 
 
 36 
 
 ! , 
 
 4460 
 
 353 
 
 4,o 
 
 48O 
 
 482 
 
 3,o 
 
 148O 
 
 521 
 
 *,3 
 
 2480 
 
 I8 7 
 
 3,5 
 
 348O 
 
 38 
 
 ',0 
 
 4480 
 
 361 
 
 4,o 
 
 5OO 
 
 488 
 
 3,o 
 
 15OO 
 
 516 
 
 2,5 
 
 2500 
 
 I 80 
 
 3,3 
 
 35OO 
 
 40 
 
 1,3 
 
 4500 
 
 369 
 
 4,o 
 
 52O 
 
 0-0494 
 
 + 3,o 
 
 1520 
 
 0-0511 
 
 -2,5 
 
 2520 
 
 0-0174 
 
 -3,3 
 
 352O 
 
 0-0043 
 
 + i,5 
 
 4520 
 
 0-0377 
 
 + 4,o 
 
 54O 
 
 500 
 
 3,o 
 
 1540 
 
 506 
 
 *,5 
 
 254O 
 
 I6 7 
 
 3,5 
 
 3540 
 
 46 
 
 ',5 
 
 4540 
 
 385 
 
 4,o 
 
 560 
 
 506 
 
 2,8 
 
 1560 
 
 501 
 
 2,5 
 
 256O 
 
 1 60 
 
 3,3 
 
 3560 
 
 49 
 
 i,5 
 
 456O 
 
 393 
 
 4,o 
 
 580 
 
 5" 
 
 2,5 
 
 1580 
 
 496 
 
 2,5 
 
 2580 
 
 '54 
 
 3, 
 
 358O 
 
 52 
 
 *5 
 
 4580 
 
 401 
 
 4,o 
 
 6OO 
 
 516 
 
 2,5 
 
 1600 
 
 491 
 
 2,8 
 
 260O 
 
 148 
 
 3,o 
 
 3600 
 
 55 
 
 1,8 
 
 4600 
 
 409 
 
 3,8 
 
 62O 
 
 0*0521 
 
 + 2 ,5 
 
 1620 
 
 0-0485 
 
 -2,8 
 
 262O 
 
 0-0142 
 
 -3,o 
 
 3620 
 
 0*0059 
 
 + 2,0 
 
 4620 
 
 0-0416 
 
 + 3,8 
 
 640 
 
 526 
 
 *,3 
 
 164O 
 
 480 
 
 2,8 
 
 2640 
 
 136 
 
 3,o 
 
 3640 
 
 63 
 
 2,0 
 
 4640 
 
 424 
 
 3,8 
 
 66O 
 
 530 
 
 2,0 
 
 166O 
 
 474 
 
 3,0 
 
 266O 
 
 130 
 
 3,o 
 
 3660 
 
 67 
 
 *,3 
 
 4660 
 
 43i 
 
 3,5 
 
 680 
 
 534 
 
 2,0 
 
 1680 
 
 468 
 
 3,0 
 
 268O 
 
 124 
 
 3,o 
 
 3680 
 
 72 
 
 2,3 
 
 4680 
 
 438 
 
 3,5 
 
 TOO 
 
 538 
 
 2,0 
 
 1700 
 
 462 
 
 3,o 
 
 27OO 
 
 118 
 
 2,8 
 
 3700 
 
 76 
 
 2,3 
 
 4700 
 
 445 
 
 3,5 
 
 7 2O 
 
 0-0542 
 
 + 2,0 
 
 1720 
 
 0-0456 
 
 -3,o 
 
 272O 
 
 O-QI 13 
 
 -2,8 
 
 3720 
 
 0-008 1 
 
 + 2,5 
 
 4720 
 
 0-0452 
 
 + 3,5 
 
 74O 
 
 546 
 
 ,8 
 
 1740 
 
 450 
 
 3,o 
 
 274O 
 
 107 
 
 2,8 
 
 3740 
 
 86 
 
 2,5 
 
 4740 
 
 459 
 
 3,5 
 
 76O 
 
 549 
 
 ,5 
 
 1760 
 
 444 
 
 3,3 
 
 276O 
 
 IO2 
 
 *,5 
 
 3760 
 
 9' 
 
 *,5 
 
 4760 
 
 466 
 
 3,3 
 
 78O 
 
 552 
 
 ,5 
 
 1780 
 
 437 
 
 3,3 
 
 278O 
 
 97 
 
 2,5 
 
 378O 
 
 96 
 
 2,8 
 
 4780 
 
 472 
 
 3,3 
 
 8OO 
 
 555 
 
 ,5 
 
 180O 
 
 431 
 
 3,3 
 
 28OO 
 
 92 
 
 2,5 
 
 3800 
 
 1 02 
 
 3,0 
 
 4800 
 
 479 
 
 3,3 
 
 82O 
 
 0-0558 
 
 + ,5 
 
 182O 
 
 0-0424 
 
 -3,5 
 
 282O 
 
 0-0087 
 
 -2,5 
 
 382O 
 
 0-0108 
 
 + 3,o 
 
 4820 
 
 0-0485 
 
 + 3,o 
 
 84O 
 
 561 
 
 ,3 
 
 184O 
 
 4'7 
 
 3,5 
 
 284O 
 
 82 
 
 2,3 
 
 384O 
 
 114 
 
 3,o 
 
 4840 
 
 49' 
 
 3,o 
 
 86O 
 
 563 
 
 ,o 
 
 I860 
 
 410 
 
 3,3 
 
 286O 
 
 78 
 
 2,3 
 
 386O 
 
 120 
 
 3,o 
 
 4860 
 
 497 
 
 2,8 
 
 88O 
 
 565 
 
 ,o 
 
 188O 
 
 404 
 
 3,3 
 
 2880 
 
 73 
 
 2,3 
 
 388O 
 
 126 
 
 3,3 
 
 4880 
 
 502 
 
 2,8 
 
 900 
 
 567 
 
 0,8 
 
 19OO 
 
 397 
 
 3,5 
 
 2900 
 
 69 
 
 2,0 
 
 3900 
 
 133 
 
 3,3 
 
 4900 
 
 508 
 
 2,8 
 
 920 
 
 0-0568 
 
 + o,5 
 
 192O 
 
 0-0390 
 
 -3,5 
 
 292O 
 
 0-0065 
 
 -2,0 
 
 3920 
 
 0-0139 
 
 + 3,3 
 
 4920 
 
 0-0513 
 
 + *,$ 
 
 940 
 
 569 
 
 o,5 
 
 194O 
 
 383 
 
 3,5 
 
 294O 
 
 61 
 
 1,8 
 
 3940 
 
 ,46 
 
 3,5 
 
 494O 
 
 518 
 
 M 
 
 960 
 
 570 
 
 o,5 
 
 196O 
 
 376 
 
 3,8 
 
 296O 
 
 58 
 
 1,8 
 
 3960 
 
 153 
 
 3,5 
 
 4960 
 
 523 
 
 2,3 
 
 98O 
 
 57i 
 
 o,5 
 
 198O 
 
 368 
 
 3,8 
 
 298O 
 
 54 
 
 1,8 
 
 398O 
 
 I 60 
 
 3,5 
 
 4980 
 
 527 
 
 2,3 
 
 1000 
 
 0-0572 
 
 + 0,3 
 
 20OO 
 
 0-0361 
 
 -3,5 
 
 3000 
 
 0*0051 
 
 -i,5 
 
 4000 
 
 0-OI67 
 
 + 3,5 
 
 5000 
 
 0-0532 
 
 + *,3 
 
 Applied Constant: +o d *o3oo. 
 The Equation of this Table to be applied to the entries of Columns 2, 7, 8 of Table I. 
 
 7 
 
IV 
 
 SATELLITE I 
 
 Approximate Tables of Conjunction 
 
 Equation for Geocentric Conjunction Argument j 
 
 Oc., Tr. 
 
 I 
 
 z 
 
 3 
 
 I 
 
 1 
 
 3 
 
 i 
 
 2 
 
 3 
 
 I 
 ft 
 
 z 
 
 3 
 
 ft 
 
 Equation 
 
 A 
 
 id 
 
 ft 
 
 Equation 
 
 A 
 
 Id 
 
 ft 
 
 Equation 
 
 A 
 Id 
 
 Equation 
 
 A 
 id 
 
 d 
 
 d 
 
 
 d 
 
 d 
 
 
 d 
 
 d 
 
 
 d 
 
 d 
 
 
 
 
 -O'OIOO 
 
 II 
 
 100 
 
 -0*0635 
 
 + 2 
 
 20O 
 
 - 0-0096 
 
 + 7 
 
 300 
 
 + 0-0436 
 
 + I 
 
 2 
 
 121 
 
 10 
 
 1O2 
 
 632 
 
 2 
 
 2O2 
 
 82 
 
 7 
 
 3O2 
 
 439 
 
 I 
 
 4 
 
 '42 
 
 II 
 
 104 
 
 628 
 
 2 
 
 204 
 
 67 
 
 7 
 
 3O4 
 
 441 
 
 I 
 
 6 
 
 163 
 
 10 
 
 1O6 
 
 623 
 
 2 
 
 2O6 
 
 53 
 
 7 
 
 306 
 
 443 
 
 + I 
 
 8 
 
 184 
 
 1 1 
 
 1O8 
 
 619 
 
 2 
 
 2O8 
 
 39 
 
 7 
 
 308 
 
 444 
 
 O 
 
 1O 
 
 205 
 
 IO 
 
 110 
 
 614 
 
 3 
 
 21 
 
 *5 
 
 7 
 
 31 
 
 444 
 
 O 
 
 12 
 
 -0-0225 
 
 - IO 
 
 112 
 
 -0-0608 
 
 + 3 
 
 212 
 
 -o-ooio 
 
 -H 7 
 
 312 
 
 + 0-0444 
 
 O 
 
 14 
 
 246 
 
 10 
 
 114 
 
 602 
 
 3 
 
 214 
 
 + 4 
 
 7 
 
 314 
 
 444 
 
 o 
 
 16 
 
 266 
 
 10 
 
 116 
 
 596 
 
 3 
 
 216 
 
 18 
 
 7 
 
 316 
 
 443 
 
 I 
 
 18 
 
 286 
 
 IO 
 
 118 
 
 589 
 
 4 
 
 218 
 
 32 
 
 7 
 
 318 
 
 441 
 
 I 
 
 2O 
 
 305 
 
 10 
 
 120 
 
 582 
 
 4 
 
 220 
 
 46 
 
 7 
 
 32O 
 
 439 
 
 I 
 
 22 
 
 - 0-0324 
 
 9 
 
 122 
 
 -0-0574 
 
 + 4 
 
 222 
 
 + 0-0060 
 
 + 7 
 
 322 
 
 + 0-0436 
 
 - 2 
 
 24 
 
 343 
 
 9 
 
 124 
 
 566 
 
 4 
 
 224 
 
 74 
 
 7 
 
 324 
 
 433 
 
 2 
 
 26 
 
 361 
 
 9 
 
 126 
 
 558 
 
 4 
 
 226 
 
 87 
 
 7 
 
 326 
 
 429 
 
 2 
 
 28 
 
 379 
 
 9 
 
 128 
 
 549 
 
 4 
 
 228 
 
 101 
 
 7 
 
 328 
 
 425 
 
 2 
 
 3O 
 
 397 
 
 9 
 
 ISO 
 
 540 
 
 5 
 
 230 
 
 114 
 
 7 
 
 33O 
 
 420 
 
 3 
 
 32 
 
 -0-0413 
 
 - 8 
 
 132 
 
 -0-0531 
 
 + 5 
 
 232 
 
 + 0-0128 
 
 + 7 
 
 332 
 
 + 0-0414 
 
 3 
 
 34 
 
 430 
 
 8 
 
 134 
 
 521 
 
 5 
 
 234 
 
 141 
 
 7 
 
 334 
 
 47 
 
 4 
 
 36 
 
 446 
 
 8 
 
 136 
 
 Si' 
 
 5 
 
 236 
 
 '54 
 
 6 
 
 336 
 
 400 
 
 3 
 
 38 
 
 461 
 
 8 
 
 138 
 
 501 
 
 5 
 
 238 
 
 167 
 
 7 
 
 338 
 
 393 
 
 4 
 
 40 
 
 476 
 
 7 
 
 14O 
 
 491 
 
 5 
 
 240 
 
 1 80 
 
 6 
 
 340 
 
 385 
 
 4 
 
 42 
 
 - 0-0490 
 
 - 7 
 
 142 
 
 - 0-0480 
 
 + 5 
 
 242 
 
 + 0-0193 
 
 + 6 
 
 342 
 
 + 0-0376 
 
 - 5 
 
 44 
 
 53 
 
 7 
 
 144 
 
 469 
 
 6 
 
 244 
 
 205 
 
 6 
 
 344 
 
 366 
 
 5 
 
 46 
 
 516 
 
 6 
 
 146 
 
 458 
 
 6 
 
 246 
 
 217 
 
 6 
 
 346 
 
 356 
 
 5 
 
 48 
 
 5*9 
 
 6 
 
 148 
 
 446 
 
 6 
 
 248 
 
 229 
 
 6 
 
 348 
 
 345 
 
 6 
 
 50 
 
 540 
 
 6 
 
 150 
 
 435 
 
 6 
 
 250 
 
 241 
 
 6 
 
 35O 
 
 334 
 
 6 
 
 52 
 
 -0-0551 
 
 - 5 
 
 152 
 
 -0-0423 
 
 + 6 
 
 252 
 
 + 0-0253 
 
 + 6 
 
 352 
 
 + 0-0322 
 
 - 6 
 
 54 
 
 562 
 
 5 
 
 154 
 
 411 
 
 6 
 
 254 
 
 264 
 
 6 
 
 354 
 
 39 
 
 7 
 
 56 
 
 572 
 
 5 
 
 156 
 
 398 
 
 6 
 
 256 
 
 275 
 
 5 
 
 356 
 
 296 
 
 7 
 
 58 
 
 581 
 
 4 
 
 158 
 
 386 
 
 6 
 
 258 
 
 286 
 
 6 
 
 358 
 
 282 
 
 7 
 
 60 
 
 589 
 
 4 
 
 16O 
 
 373 
 
 6 
 
 260 
 
 297 
 
 5 
 
 360 
 
 267 
 
 8 
 
 62 
 
 -0-0597 
 
 - 4 
 
 162 
 
 - 0-0360 
 
 + 7 
 
 262 
 
 + 0-0307 
 
 + 5 
 
 362 
 
 + O-O2 5 2 
 
 - 7 
 
 64 
 
 604 
 
 4 
 
 164 
 
 347 
 
 6 
 
 264 
 
 317 
 
 5 
 
 364 
 
 237 
 
 8 
 
 66 
 
 611 
 
 3 
 
 166 
 
 334 
 
 7 
 
 266 
 
 327 
 
 5 
 
 366 
 
 221 
 
 8 
 
 68 
 
 617 
 
 3 
 
 168 
 
 321 
 
 7 
 
 268 
 
 336 
 
 5 
 
 368 
 
 204 
 
 9 
 
 7O 
 
 622 
 
 3 
 
 170 
 
 37 
 
 7 
 
 27O 
 
 345 
 
 4 
 
 370 
 
 187 
 
 9 
 
 72 
 
 -0-0627 
 
 2 
 
 172 
 
 -0-0293 
 
 + 7 
 
 272 
 
 + 0-0354 
 
 + 5 
 
 372 
 
 + 0*0169 
 
 9 
 
 74 
 
 631 
 
 2 
 
 174 
 
 280 
 
 7 
 
 274 
 
 3 6 3 
 
 4 
 
 374 
 
 '5i 
 
 9 
 
 76 
 
 635 
 
 2 
 
 176 
 
 266 
 
 7 
 
 276 
 
 37i 
 
 4 
 
 376 
 
 133 
 
 9 
 
 78 
 
 638 
 
 I 
 
 178 
 
 252 
 
 7 
 
 278 
 
 378 
 
 4 
 
 378 
 
 114 
 
 10 
 
 8O 
 
 640 
 
 1 
 
 ISO 
 
 238 
 
 7 
 
 28O 
 
 386 
 
 4 
 
 38O 
 
 94 
 
 IO 
 
 82 
 
 0-0642 
 
 I 
 
 182 
 
 -0-0224 
 
 + 7 
 
 282 
 
 + 0-0393 
 
 + 4 
 
 382 
 
 + 0-0075 
 
 IO 
 
 84 
 
 643 
 
 - I 
 
 184 
 
 2IO 
 
 7 
 
 284 
 
 399 
 
 3 
 
 384 
 
 55 
 
 10 
 
 86 
 
 644 
 
 
 
 186 
 
 196 
 
 7 
 
 286 
 
 405 
 
 3 
 
 386 
 
 35 
 
 IO 
 
 88 
 
 645 
 
 o 
 
 188 
 
 182 
 
 7 
 
 288 
 
 411 
 
 3 
 
 388 
 
 + 14 
 
 IO 
 
 9O 
 
 644 
 
 o 
 
 190 
 
 168 
 
 7 
 
 29O 
 
 416 
 
 3 
 
 39O 
 
 7 
 
 IO 
 
 92 
 
 -0-0643 
 
 + I 
 
 192 
 
 -0-0153 
 
 + 7 
 
 292 
 
 + 0-0421 
 
 + 2 
 
 392 
 
 - 0-0027 
 
 - IO 
 
 94 
 
 642 
 
 I 
 
 194 
 
 '39 
 
 7 
 
 294 
 
 426 
 
 2 
 
 394 
 
 48 
 
 II 
 
 96 
 
 640 
 
 I 
 
 196 
 
 125 
 
 7 
 
 296 
 
 430 
 
 2 
 
 396 
 
 69 
 
 IO 
 
 98 
 
 638 
 
 I 
 
 198 
 
 I IO 
 
 7 
 
 298 
 
 433 
 
 2 
 
 398 
 
 9 1 
 
 II 
 
 1OO 
 
 - 0-0635 
 
 + 2 
 
 2OO 
 
 - 0-0096 
 
 + 7 
 
 30O 
 
 + 0-0436 
 
 + I 
 
 400 
 
 -o-oui 
 
 - IO 
 
 Applied Constant : - o d ' oioo. The Equation of Table IV, corrected by those of Tables V, VI, gives the Annual Parallax, p, which must be applied for 
 
 Occnltations and Transit* to the entries in Columns 2, 7, 8. of Table I, and also serves as argument of Table LI for computing the effect of Jupiter's phase. 
 
V 
 
 SATELLITE I 
 
 Approximate Tables of Conjunction 
 
 Equation for Geocentric Conjunction Arguments a, /3 
 
 Oc., Tr. 
 
 \ /8 
 
 a \ 
 
 O d 2O d 4O d 
 
 60 80' 100 
 
 120 140' 160 
 
 ISO 1 200 ' 220 
 
 240" 260 ' 280 
 
 300 320 340' 
 
 360 ' 380 ' 400 ' 
 
 d 
 
 
 
 
 
 
 
 
 O 
 
 70 58 48 
 
 42 4' 43 
 
 48 54 60 
 
 65 70 75 
 
 80 87 92 
 
 97 99 97 
 
 91 8 1 69 
 
 100 
 2OO 
 30O 
 400 
 500 
 
 79 66 55 
 88 75 62 
 96 83 69 
 104 92 77 
 iii 99 84 
 
 47 42 42 
 51 44 41 
 
 57 47 4' 
 62 50 42 
 
 68 53 43 
 
 45 49 54 
 42 45 49 
 40 41 44 
 38 38 40 
 37 35 36 
 
 59 6 4 69 
 54 58 63 
 48 52 57 
 43 47 5 1 
 39 42 46 
 
 75 82 89 
 69 76 85 
 63 71 80 
 57 66 76 
 52 60 71 
 
 96 too 100 
 93 loi 104 
 91 100 107 
 88 99 108 
 84 98 109 
 
 98 89 78 
 103 97 87 
 109 105 95 
 113 in 103 
 116 1 17 in 
 
 60O 
 7OO 
 80O 
 90O 
 100O 
 
 117 1 06 91 
 123 113 97 
 127 118 103 
 
 I3O 122 108 
 132 126 112 
 
 73 57 45 
 79 61 47 
 84 66 50 
 89 70 53 
 94 74 57 
 
 37 34 33 
 38 33 3' 
 39 33 3 
 41 33 29 
 
 43 34 3 
 
 35 38 4 1 
 32 34 37 
 
 3 3i 34 
 29 29 31 
 28 28 29 
 
 47 55 66 
 42 50 62 
 
 38 46 57 
 35 42 53 
 33 39 49 
 
 8 1 96 109 
 77 93 109 
 
 73 9 I0 7 
 68 86 105 
 64 82 i 02 
 
 119 122 117 
 I2O 125 122 
 121 128 127 
 I2O 129 130 
 
 118 129 131 
 
 1100 
 12OO 
 13OO 
 14OO 
 15OO 
 
 132 128 1 16 
 131 129 118 
 129 128 119 
 
 125 127 120 
 121 124 119 
 
 98 79 61 
 102 83 65 
 105 87 69 
 107 90 73 
 108 93 77 
 
 4 6 37 3i 
 5 39 33 
 54 43 36 
 5 8 47 39 
 63 5' 43 
 
 28 28 28 
 30 28 28 
 32 30 29 
 35 32 3 
 38 35 33 
 
 31 36 46 
 3 34 43 
 3 33 4' 
 3 33 39 
 32 33 38 
 
 60 78 98 
 56 74 94 
 53 70 89 
 50 65 83 
 47 61 78 
 
 116 128 132 
 
 112 125 131 
 IO7 122 129 
 IO2 117 126 
 96 III 121 
 
 1600 
 1700 
 1800 
 190O 
 2000 
 
 115 1 20 i I 8 
 109 115 115 
 101 109 iii 
 93 103 107 
 85 95 102 
 
 109 96 81 
 109 98 85 
 108 99 88 
 1 06 100 91 
 103 100 94 
 
 67 56 48 
 72 61 53 
 77 67 59 
 81 72 66 
 86 78 70 
 
 43 39 36 
 48 43 40 
 
 53 48 45 
 59 54 5 
 65 60 55 
 
 34 34 37 
 37 36 38 
 
 4 1 39 39 
 46 42 40 
 
 50 46 42 
 
 45 57 72 
 43 53 67 
 42 49 61 
 41 46 55 
 
 41 44 50 
 
 89 105 116 
 
 82 98 IO9 
 
 75 90 1 02 
 68 8 1 94 
 60 73 85 
 
 21 OO 
 22OO 
 23OO 
 2400 
 2500 
 
 76 87 96 
 67 79 89 
 58 71 82 
 
 49 6z 75 
 41 54 68 
 
 100 100 96 
 9 6 99 97 
 92 97 98 
 87 95 99 
 82 92 99 
 
 90 83 76 
 93 88 82 
 96 92 87 
 99 96 93 
 101 100 97 
 
 71 66 61 
 77 72 67 
 83 78 73 
 88 84 79 
 
 94 9 85 
 
 56 50 45 
 61 55 49 
 67 60 53 
 
 73 65 57 
 79 71 61 
 
 42 42 46 
 
 43 4 4 1 
 45 40 38 
 
 47 39 35 
 5 4 33 
 
 53 6 4 77 
 47 56 68 
 40 48 59 
 
 35 4 5 
 3 33 42 
 
 260O 
 27OO 
 28OO 
 29OO 
 3000 
 
 34 46 6 1 
 
 27 38 54 
 21 32 47 
 16 25 41 
 12 20 35 
 
 76 89 98 
 71 85 96 
 65 8 1 94 
 59 77 92 
 
 54 73 89 
 
 102 103 101 
 103 105 105 
 103 107 107 
 
 IO2 IO7 IO9 
 
 101 107 no 
 
 98 95 90 
 102 99 96 
 106 104 100 
 109 107 104 
 in no 107 
 
 84 76 66 
 90 81 70 
 95 87 75 
 99 91 80 
 103 95 84 
 
 53 4i 3i 
 57 43 3i 
 61 45 3' 
 65 4 8 32 
 6 9 5i 34 
 
 26 27 34 
 
 23 21 27 
 21 17 21 
 
 20 14 16 
 
 2O 12 12 
 
 31 OO 
 32OO 
 33OO 
 34OO 
 3500 
 
 9 16 31 
 8 14 27 
 8 12 23 
 9 ii 21 
 
 12 12 2O 
 
 49 69 86 
 45 64 82 
 41 60 78 
 
 37 56 74 
 35 S 2 70 
 
 99 107 in 
 96 105 110 
 
 93 103 '9 
 89 100 i 06 
 85 96 103 
 
 112 III IIO 
 112 112 III 
 III 112 112 
 I IO III 112 
 
 107 110 ill 
 
 106 99 88 
 108 102 92 
 no 105 95 
 no 106 98 
 110 107 100 
 
 73 55 36 
 77 59 4 
 8 i 63 44 
 85 67 48 
 
 88 72 53 
 
 21 II IO 
 
 23 ii 8 
 26 13 8 
 30 16 9 
 34 20 12 
 
 36OO 
 37OO 
 38OO 
 39OO 
 4OOO 
 
 16 14 20 
 
 21 17 21 
 27 21 23 
 
 34 27 26 
 4' 33 3 
 
 33 49 66 
 32 46 62 
 
 3i 44 58 
 32 42 54 
 33 40 5 
 
 80 92 100 
 
 76 87 95 
 71 82 90 
 66 77 85 
 62 71 79 
 
 104 IO7 109 
 
 i oo 1 04 1 06 
 96 100 103 
 91 95 98 
 
 85 90 94 
 
 109 107 102 
 107 106 102 
 
 105 105 103 
 
 IOI 103 IO2 
 
 97 100 101 
 
 91 76 58 
 94 8 i 6-1- 
 96 85 70 
 97 88 75 
 98 92 81 
 
 40 25 1 6 
 46 31 20 
 53 38 26 
 60 45 33 
 67 53 4' 
 
 4100 
 42OO 
 4300 
 4400 
 4500 
 
 49 4 35 
 58 47 40 
 67 55 46 
 76 64 53 
 85 72 60 
 
 35 4 4 8 
 38 4 45 
 42 40 44 
 
 45 4 2 42 
 50 44 41 
 
 57 66 74 
 53 61 68 
 
 49 55 62 
 46 51 56 
 
 43 46 5' 
 
 79 84 88 
 73 78 83 
 67 72 77 
 6 1 66 71 
 55 60 65 
 
 93 97 99 
 88 93 97 
 82 88 94 
 77 83 90 
 71 78 86 
 
 99 95 86 
 98 97 91 
 98 99 96 
 96 100 100 
 94 101 103 
 
 75 6l 49 
 82 70 58 
 89 79 66 
 96 87 75 
 102 95 84 
 
 The unit in this Table equals o"'oooi. Applied Constant : +70. 
 
 The Equation of this Table to be added to that of Table IV. 
 
 The entries are positive. 
 
VI 
 
 SATELLITE I 
 
 Approximate Tables of Conjunction 
 
 Equation for Geocentric Conjunction Arguments /3, y 
 
 Oc., Tr. 
 
 x"5 
 
 7 \ 
 
 O d 2O d 4O d 
 
 60 80 100 
 
 1 20 ! 1 40 1 60 
 
 1 8O d 200 d 220 d 
 
 240 260 280 
 
 300 32O 340 
 
 360 38O 400 
 
 d 
 
 
 
 3 34 37 
 
 39 4 39 
 
 38 36 34 
 
 32 30 28 
 
 26 24 22 
 
 21 2O 21 
 
 23 26 30 
 
 20 
 
 40 
 6O 
 80 
 
 100 
 
 23 27 31 
 16 20 25 
 ii 14 20 
 8 ii 16 
 8 9 >3 
 
 36 39 4 
 3' 36 39 
 26 33 38 
 22 29 35 
 19 26 32 
 
 40 39 38 
 41 42 42 
 41 43 44 
 4 43 45 
 37 4 1 43 
 
 37 35 33 
 41 40 38 
 
 44 43 4 2 
 45 45 44 
 45 45 45 
 
 31 2 9 25 
 
 36 33 29 
 
 4 37 33 
 43 41 37 
 44 43 39 
 
 22 19 l8 
 
 25 20 16 
 
 28 22 l6 
 
 31 25 18 
 35 28 21 
 
 18 19 23 
 14 14 16 
 
 12 IO II 
 
 12 9 10 
 1510 8 
 
 12O 
 140 
 16O 
 ISO 
 200 
 
 II 10 12 
 
 '5 '3 14 
 
 22 l8 17 
 29 25 22 
 36 32 28 
 
 17 23 29 
 
 17 21 25 
 
 18 20 23 
 
 2O 2O 21 
 24 21 2O 
 
 34 3 8 4' 
 3 34 37 
 26 29 32 
 23 25 27 
 
 2O 21 22 
 
 42 43 44 
 39 40 4' 
 34 3<5 37 
 29 31 33 
 
 24 26 27 
 
 44 43 4' 
 42 42 41 
 39 40 40 
 34 36 38 
 2 9 32 35 
 
 37 32 25 
 39 35 3 
 4 38 35 
 40 40 39 
 38 41 42 
 
 19 14 10 
 24 19 15 
 
 3O 26 21 
 
 36 33 29 
 42 40 36 
 
 22O 
 240 
 26O 
 28O 
 
 300 
 
 43 39 34 
 48 45 39 
 52 49 44 
 
 5* 5' 47 
 50 50 48 
 
 28 24 21 
 
 33 27 22 
 37 3 24 
 41 34 27 
 
 43 37 3i 
 
 19 18 19 
 19 17 16 
 
 20 17 15 
 22 19 l6 
 26 22 19 
 
 2O 21 23 
 17 I 7 18 
 
 15 15 16 
 
 '5 '5 i5 
 
 17 16 16 
 
 25 27 31 
 20 23 27 
 17 20 24 
 16 is 21 
 16 17 19 
 
 36 40 44 
 33 38 44 
 29 36 42 
 26 32 39 
 23 29 35 
 
 4 6 45 43 
 48 49 48 
 48 51 51 
 46 50 52 
 
 42 47 50 
 
 320 
 
 340 
 360 
 
 380 
 400 
 
 46 47 47 
 39 42 44 
 32 36 39 
 24 2 9 33 
 
 IS 22 27 
 
 44 39 34 
 43 4 37 
 4 4 39 
 37 39 39 
 32 37 4 
 
 29 26 23 
 
 33 3 27 
 37 35 32 
 4 38 37 
 41 41 41 
 
 21 19 18 
 
 25 2 4 22 
 
 30 29 27 
 35 34 32 
 4 39 37 
 
 18 18 19 
 
 21 20 19 
 25 23 22 
 
 30 27 25 
 
 35 32 28 
 
 21 25 31 
 
 2O 22 26 
 21 2O 22 
 22 19 l8 
 
 24 20 17 
 
 36 42 46 
 
 3 35 39 
 24 28 32 
 19 21 25 
 15 15 18 
 
 The unit in this Table equals o (ll ooo>. 
 
 Applied Constant : +30. 
 
 The entries are positive. 
 
 The Equation of this Table to be added to that of Table IV. 
 
 VII 
 
 I 
 
 2 
 
 i 
 
 Equation 
 
 d 
 000 
 
 d 
 
 0*0030 
 
 010 
 
 0-0022 
 
 020 
 
 '5 
 
 030 
 
 IO 
 
 040 
 
 7 
 
 050 
 
 8 
 
 0-60 
 
 O'OOl I 
 
 070 
 
 16 
 
 080 
 
 23 
 
 090 
 
 3' 
 
 1 00 
 
 39 
 
 10 
 
 0-0046 
 
 20 
 
 5i 
 
 30 
 
 53 
 
 40 
 
 52 
 
 50 
 
 48 
 
 60 
 
 0-0043 
 
 70 
 
 35 
 
 80 
 
 27 
 
 90 
 
 20 
 
 200 
 
 0-0013 
 
 Equations of Conjunction VIII 
 E., O., S., T. 
 
 i 
 
 2 
 
 i 
 
 2 
 
 e 
 
 Equation 
 
 e 
 
 Equation 
 
 d 
 
 000 
 
 d 
 
 0-0003 
 
 d 
 1 00 
 
 d 
 
 0-0004 
 
 005 
 
 0*0004 
 
 05 
 
 0-0005 
 
 010 
 
 5 
 
 IO 
 
 5 
 
 015 
 
 5 
 
 15 
 
 5 
 
 020 
 
 5 
 
 20 
 
 5 
 
 025 
 
 5 
 
 25 
 
 4 
 
 030 
 
 0-0005 
 
 30 
 
 0-0004 
 
 035 
 
 4 
 
 35 
 
 3 
 
 040 
 
 4 
 
 40 
 
 2 
 
 O'45 
 
 3 
 
 45 
 
 2 
 
 50 
 
 2 
 
 50 
 
 I 
 
 O-55 
 
 O'OOOZ 
 
 55 
 
 o'oooi 
 
 060 
 
 I 
 
 60 
 
 i 
 
 65 
 
 I 
 
 65 
 
 i 
 
 070 
 
 I 
 
 70 
 
 2 
 
 O75 
 
 I 
 
 75 
 
 3 
 
 080 
 
 O'OOO2 
 
 80 
 
 0-0003 
 
 085 
 
 2 
 
 85 
 
 4 
 
 090 
 
 3 
 
 1 90 
 
 5 
 
 O-95 
 
 4 
 
 1 95 
 
 5 
 
 1 00 
 
 0^0004 
 
 200 
 
 0-0005 
 
 Applied Constant : +0^-0030. 
 
 Applied Constant : +o d 'ooo3. 
 
 The Equations of Tables VII, VIII to be applied to the entries of Table I, Column 2. 
 
 10 
 
SATELLITE I 
 
 Tables 
 
 of the 
 
 Longitude on Jupiter's Orbit, 
 
 Variation of the Radius Vector, 
 and the Latitude 
 
SATELLITE I 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 IX Values at Epoch of Mean Longitude and the Arguments 
 
 I 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 s 
 
 9 
 
 10 
 
 Date 
 
 Mean Long. 
 
 A 
 
 B 
 
 c 
 
 D 
 
 E 
 
 F 
 
 Q 
 
 H 
 
 
 O 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 1850 O 
 
 306-02002 
 
 0-32284 
 
 2-085 
 
 0-222 
 
 OH57 
 
 0-285 
 
 223-78 
 
 451-85 
 
 205-04 
 
 1851 
 
 59-50226 
 
 2-2OOIO 
 
 0-437 
 
 0-496 
 
 1-O02 
 
 0-840 
 
 187-62 
 
 359 >l8 
 
 8774 
 
 '18520 
 
 172-984.50 
 
 0-55188 
 
 I-I39 
 
 0-77I 
 
 1-547 
 
 I"394 
 
 151-46 
 
 266-50 
 
 45274 
 
 1853-0 
 
 129-95573 
 
 3-42914 
 
 0-491 
 
 0-275 
 
 I-323 
 
 I-I79 
 
 Il6-3I 
 
 174-83 
 
 336-44 
 
 18540 
 
 243-43797 
 
 178093 
 
 I-I93 
 
 0-550 
 
 0-099 
 
 1-733 
 
 80-I5 
 
 82-15 
 
 219-14 
 
 18550 
 
 356-92021 
 
 0-13272 
 
 1-895 
 
 0-824 
 
 0-645 
 
 0-518 
 
 43-99 
 
 447-15 
 
 IO1-83 
 
 * 18560 
 
 110-40245 
 
 2-00997 
 
 0-247 
 
 1-099 
 
 I-I90 
 
 1-073 
 
 7-84 
 
 354-48 
 
 466-83 
 
 1857 O 
 
 67-37368 
 
 1-36176 
 
 1-949 
 
 0-603 
 
 0-966 
 
 0-858 
 
 373-84 
 
 262-80 
 
 350-53 
 
 1 358 
 
 180-85592 
 
 3-23901 
 
 O-3OI 
 
 0-878 
 
 I-5II 
 
 1-412 
 
 337-68 
 
 170-13 
 
 233-23 
 
 1 859 
 
 294-33815 
 
 1-59080 
 
 I-OO3 
 
 I-I52 
 
 0-287 
 
 0-197 
 
 301-52 
 
 77-45 
 
 U5'93 
 
 * 186 00 
 
 47-82039 
 
 3-46805 
 
 I-705 
 
 1-427 
 
 0-832 
 
 0-752 
 
 265-37 
 
 44 2 '45 
 
 480-93 
 
 1861 O 
 
 4-79162 
 
 2-81984 
 
 1-057 
 
 0-93I 
 
 0-608 
 
 0-537 
 
 230-21 
 
 35078 
 
 3 6 4-63 
 
 18620 
 
 118-27386 
 
 1-17163 
 
 1759 
 
 I-ZO5 
 
 1-154 
 
 1-091 
 
 194-05 
 
 258-10 
 
 247-33 
 
 18630 
 
 231-75610 
 
 3-04889 
 
 O'l 11 
 
 1-480 
 
 1-699 
 
 1-645 
 
 157-89 
 
 l6 5'43 
 
 130-02 
 
 * 18640 
 
 345-23834 
 
 1-40067 
 
 0-8I3 
 
 1-755 
 
 0-475 
 
 0-430 
 
 121-74 
 
 72-75 
 
 1272 
 
 1865 
 
 302-20957 
 
 0-75246 
 
 0-165 
 
 1-259 
 
 0-25I 
 
 0-215 
 
 86-58 
 
 43875 
 
 378-72 
 
 18660 
 
 55-69181 
 
 2-62972 
 
 0-867 
 
 i-533 
 
 0-796 
 
 0-770 
 
 50-42 
 
 346*08 
 
 261-42 
 
 1857 O 
 
 169-17405 
 
 0-98151 
 
 1-569 
 
 0-037 
 
 ''34' 
 
 '1*4 
 
 14-27 
 
 253-40 
 
 144-12 
 
 18630 
 
 282-65629 
 
 2-85876 
 
 2-27I 
 
 0-312 
 
 0-117 
 
 0-109 
 
 379-27 
 
 160-73 
 
 26-82 
 
 1869 
 
 239-62752 
 
 2-21055 
 
 I-623 
 
 1-587 
 
 1-663 
 
 1-663 
 
 344' I! 
 
 69-06 
 
 392-82 
 
 18700 
 
 353-10976 
 
 0-56234 
 
 2-325 
 
 0-091 
 
 o-439 
 
 o-449 
 
 307-95 
 
 434-06 
 
 275-51 
 
 1871 O 
 
 106-59200 
 
 2-43959 
 
 0-677 
 
 0-365 
 
 0-984 
 
 1-003 
 
 271-80 
 
 34-38 
 
 158-21 
 
 *1872-O 
 
 220-07424 
 
 079138 
 
 J-379 
 
 0-640 
 
 1-529 
 
 i-557 
 
 235-64 
 
 248-71 
 
 40-91 
 
 18730 
 
 177-04547 
 
 0-14317 
 
 0-730 
 
 0-144 
 
 1-305 
 
 1-342 
 
 200-48 
 
 157-03 
 
 406-91 
 
 18740 
 
 290-52771 
 
 2-02042 
 
 i-433 
 
 0-419 
 
 0-08 1 
 
 0-127 
 
 164-33 
 
 64-36 
 
 289-61 
 
 13750 
 
 44-00994 
 
 O-3722I 
 
 2-135 
 
 0-693 
 
 0-626 
 
 0-682 
 
 128-17 
 
 429-36 
 
 172-31 
 
 *1 876-0 
 
 157-49218 
 
 2-24946 
 
 0-486 
 
 0-968 
 
 1-172 
 
 1-236 
 
 92-01 
 
 336-68 
 
 55-00 
 
 1877-O 
 
 114-46341 
 
 I-6OI25 
 
 2-188 
 
 0-472 
 
 0-948 
 
 I-O2I 
 
 56-85 
 
 245-01 
 
 421*00 
 
 1 878 O 
 
 227-94565 
 
 3-4785I 
 
 0-54 
 
 0-747 
 
 1-493 
 
 1-575 
 
 20-70 
 
 I52-33 
 
 303-70 
 
 18790 
 
 341-42789 
 
 1-83029 
 
 1-242 
 
 1'02I 
 
 0-269 
 
 0-360 
 
 38570 
 
 59-66 
 
 186-40 
 
 *18800 
 
 94-91013 
 
 0-I8208 
 
 1-944 
 
 1-296 
 
 0-814 
 
 0-915 
 
 349-54 
 
 424-66 
 
 69-10 
 
 1881-0 
 
 51-88136 
 
 3-05934 
 
 1-296 
 
 O'SOO 
 
 0-590 
 
 0-700 
 
 3I4-3 8 
 
 332-98 
 
 435-10 
 
 18820 
 
 165-36360 
 
 I-4III3 
 
 1-998 
 
 1-075 
 
 I-I35 
 
 1-254 
 
 278-23 
 
 240-31 
 
 317-80 
 
 18830 
 
 278-84584 
 
 3-28838 
 
 0-350 
 
 ''349 
 
 1-681 
 
 0-039 
 
 242-07 
 
 147-63 
 
 200-49 
 
 *1884-O 
 
 32-32808 
 
 1-64017 
 
 1-052 
 
 1-624 
 
 0-457 
 
 0-594 
 
 205-91 
 
 54-96 
 
 83*19 
 
 18850 
 
 349-29931 
 
 0-99196 
 
 0-404 
 
 1-128 
 
 0-233 
 
 0-379 
 
 170-76 
 
 420-96 
 
 449-19 
 
 18860 
 
 102-78155 
 
 2-86921 
 
 1-106 
 
 I-403 
 
 0-778 
 
 o-933 
 
 134-60 
 
 328-28 
 
 33I-89 
 
 18870 
 
 216-26379 
 
 I-22IOO 
 
 i -808 
 
 1-677 
 
 '323 
 
 1-487 
 
 98-44 
 
 235-61 
 
 214-59 
 
 *18880 
 
 329-74603 
 
 3-09825 
 
 0-160 
 
 0-l8l 
 
 0-099 
 
 0-272 
 
 62-29 
 
 142-93 
 
 97-29 
 
 18890 
 
 286-71726 
 
 2-45004 
 
 1-862 
 
 1-456 
 
 1-644 
 
 0-058 
 
 27'i3 
 
 51-26 
 
 463-29 
 
 18900 
 
 40-19950 
 
 0-80I83 
 
 0-214 
 
 1730 
 
 0-421 
 
 0-612 
 
 392-I3 
 
 416-26 
 
 345-99 
 
 1891 O 
 
 153-68173 
 
 2-67908 
 
 0-916 
 
 0-235 
 
 0-966 
 
 1-166 
 
 355-97 
 
 323-58 
 
 228-68 
 
 *18920 
 
 267-16397 
 
 1-03087 
 
 1-618 
 
 0-509 
 
 1-511 
 
 1-720 
 
 319-82 
 
 230-91 
 
 111-38 
 
 1 893-0 
 
 224-13520 
 
 0-38266 
 
 0-970 
 
 O-OI3 
 
 1-287 
 
 1-505 
 
 284-66 
 
 139-23 
 
 477-38 
 
 1 894 O 
 
 337-61744 
 
 2-25992 
 
 1-672 
 
 0-288 
 
 0-063 
 
 0-291 
 
 248-50 
 
 46-56 
 
 360-08 
 
 1 895 
 
 91-09968 
 
 0-61 170 
 
 0*024 
 
 0-562 
 
 0-608 
 
 0-845 
 
 212-34 
 
 411-56 
 
 242-78 
 
 *18960 
 
 204-58192 
 
 2-48896 
 
 0-726 
 
 0-837 
 
 I-I53 
 
 1-399 
 
 176-19 
 
 318-88 
 
 125-48 
 
 1897 
 
 161-55315 
 
 1-84075 
 
 0-078 
 
 0-341 
 
 0-930 
 
 1-184 
 
 141-03 
 
 227-21 
 
 9-17 
 
 1898-0 
 
 275-03539 
 
 0-19254 
 
 0-780 
 
 0-616 
 
 i"475 
 
 1739 
 
 104-87 
 
 I34-53 
 
 374"'7 
 
 18990 
 
 28-51763 
 
 2-06979 
 
 1-482 
 
 0-890 
 
 0-251 
 
 0-524 
 
 68-72 
 
 41-86 
 
 256-87 
 
 19000 
 
 141-99987 
 
 0-42158 
 
 2-184 
 
 1-165 
 
 0-796 
 
 1-078 
 
 32-56 
 
 406-86 
 
 I39-57 
 
 Periods 
 
 ... 
 
 3-52546 
 
 2-350 
 
 1-771 
 
 1-769 
 
 1-769 
 
 401-16 
 
 457-67 
 
 482-30 
 
 Constant subtracted from Column 2 : o*6oooo. 
 
 12 
 
IX 
 
 SATELLITE I 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 Values at Epoch of Mean Longitude and the Arguments 
 
 II 
 
 12 
 
 '3 
 
 H 
 
 '5 
 
 16 
 
 '7 
 
 il 
 
 '9 
 
 1 
 
 J 
 
 K 
 
 L 
 
 M 
 
 N 
 
 O 
 
 P 
 
 Q 
 
 d 
 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 *53"48 
 
 1850 
 
 I - 726oi 
 
 1-698 
 
 0-682 
 
 ru 
 
 ''3 
 
 0-828 
 
 0-32 
 
 132-89 
 
 1 851 
 
 0-51449 
 
 0-728 
 
 1-299 
 
 1-68 
 
 O'l 
 
 0-62I 
 
 O'O2 
 
 Iz "3 
 
 *1852'O 
 
 I-O72II 
 
 1-525 
 
 0-146 
 
 0-49 
 
 0- 7 
 
 0-415 
 
 0-61 
 
 378'3o 
 
 1 853 
 
 0-86059 
 
 I- 555 
 
 1-762 
 
 0-29 
 
 0-5 
 
 0-324 
 
 0-43 
 
 257-71 
 
 1 854 
 
 i'4i82i 
 
 0-584 
 
 0-610 
 
 0-86 
 
 I'D 
 
 O'I17 
 
 0-13 
 
 137-12 
 
 1855-0 
 
 0-20669 
 
 1-382 
 
 1-226 
 
 I- 43 
 
 1-6 
 
 0795 
 
 0-72 
 
 16-53 
 
 *1856'O 
 
 076431 
 
 0-412 
 
 0-073 
 
 0-23 
 
 0-4 
 
 0-588 
 
 0-42 
 
 382-53 
 
 1857 O 
 
 0:55279 
 
 0-441 
 
 1-690 
 
 0-03 
 
 0-2 
 
 0-497 
 
 0-24 
 
 261-95 
 
 1 858 
 
 1-11041 
 
 i 239 
 
 o-537 
 
 0-60 
 
 07 
 
 0-29I 
 
 0-82 
 
 I4I-35 
 
 1 859 O 
 
 1-66803 
 
 0-268 
 
 I-I53 
 
 1-17 
 
 1-3 
 
 0-084 
 
 0-53 
 
 20-76 
 
 *18SOO 
 
 0-45651 
 
 ro66 
 
 o-ooi 
 
 1-74 
 
 o-i 
 
 0-762 
 
 0-23 
 
 386-76 
 
 1 861 
 
 0-24499 
 
 1-095 
 
 1-617 
 
 i-54 
 
 1-7 
 
 0-671 
 
 0-05 
 
 266-17 
 
 1862O 
 
 0-80260 
 
 0-125 
 
 0-464 
 
 o'34 
 
 0-5 
 
 0-464 
 
 0-63 
 
 145-58 
 
 18630 
 
 1-36022 
 
 0-923 
 
 1-080 
 
 0-91 
 
 I'O 
 
 0-257 
 
 0-34 
 
 24-99 
 
 *1864O 
 
 0-14870 
 
 1-720 
 
 1-697 
 
 1-48 
 
 1-6 
 
 O'O5I 
 
 0-04 
 
 390-99 
 
 18650 
 
 1-70632 
 
 1-750 
 
 1-544 
 
 1-28 
 
 I- 4 
 
 0-844 
 
 0-74 
 
 270-40 
 
 1866-0 
 
 0-49480 
 
 0-779 
 
 0-391 
 
 0-08 
 
 O'2 
 
 0-637 
 
 0-44 
 
 149-81 
 
 1867-0 
 
 1-05242 
 
 1-577 
 
 roo8 
 
 0-65 
 
 07 
 
 0-43I 
 
 0-14 
 
 29-22 
 
 * 18680 
 
 1-61004 
 
 0-607 
 
 1-624 
 
 1-22 
 
 I'3 
 
 0-224 
 
 0-73 
 
 395-22 
 
 1868 
 
 1-39852 
 
 0-636 
 
 1-471 
 
 I'O2 
 
 i-i 
 
 0-133 
 
 0-55 
 
 274-63 
 
 1870 
 
 0-18700 
 
 1-434 
 
 0-319 
 
 I- 59 
 
 1-6 
 
 0-811 
 
 0-25 
 
 154-04 
 
 1871 O 
 
 0-74462 
 
 0-463 
 
 o-935 
 
 0-40 
 
 0-4 
 
 0-604 
 
 0-84 
 
 33-45 
 
 *1872-O 
 
 1-30223 
 
 1-261 
 
 1-551 
 
 0-97 
 
 i-o 
 
 0-397 
 
 0-54 
 
 399-45 
 
 1873-0 
 
 I -0907 1 
 
 1-290 
 
 I- 399 
 
 077 
 
 0-8 
 
 0-307 
 
 0-36 
 
 278-86 
 
 1874O 
 
 1-64833 
 
 0-320 
 
 0-246 
 
 1-34 
 
 i'3 
 
 O'lOO 
 
 0-06 
 
 158-27 
 
 1875-0 
 
 0-43681 
 
 1-118 
 
 0-862 
 
 0-14 
 
 o-i 
 
 0-778 
 
 0-65 
 
 37-68 
 
 *18760 
 
 0-99443 
 
 0-147 
 
 1-478 
 
 071 
 
 0-7 
 
 0-571 
 
 o'35 
 
 403-68 
 
 1877O 
 
 0-78291 
 
 0-177 
 
 1-326 
 
 0-5I 
 
 0-5 
 
 0-480 
 
 0-17 
 
 283-09 
 
 18780 
 
 1-34053 
 
 0-974 
 
 0-173 
 
 I -08 
 
 I'O 
 
 0-273 
 
 075 
 
 162-51 
 
 18790 
 
 0-12901 
 
 0-004 
 
 0-789 
 
 I-6 5 
 
 1-6 
 
 0-067 
 
 0-46 
 
 41-92 
 
 *18800 
 
 0-68663 
 
 0-801 
 
 1-406 
 
 0- 4 5 
 
 0-4 
 
 0-744 
 
 0-16 
 
 407-92 
 
 1881 O 
 
 0-47511 
 
 0-831 
 
 1-253 
 
 0-25 
 
 O'2 
 
 0-653 
 
 0-86 
 
 287-33 
 
 18820 
 
 1-03273 
 
 1-629 
 
 O'lOO 
 
 0-82 
 
 0-8 
 
 0-447 
 
 0-56 
 
 166-74 
 
 1 883 
 
 1-59034 
 
 0-658 
 
 0-717 
 
 I'39 
 
 i'3 
 
 0-240 
 
 0-27 
 
 46-15 
 
 *1884'O 
 
 0-37883 
 
 1-456 
 
 1-333 
 
 0-I9 
 
 o-i 
 
 0-033 
 
 0-85 
 
 412-15 
 
 1885'Q 
 
 0-16731 
 
 1-485 
 
 1-180 
 
 I- 7 6 
 
 17 
 
 0-827 
 
 0-67 
 
 291-56 
 
 1886-O 
 
 0-72492 
 
 0-515 
 
 0-028 
 
 0-56 
 
 0-5 
 
 0-620 
 
 0-37 
 
 170-97 
 
 1887 
 
 1-28254 
 
 1-312 
 
 0*644 
 
 ''3 
 
 I'O 
 
 0-413 
 
 0-08 
 
 5-38 
 
 * 18880 
 
 0-07102 
 
 0-342 
 
 1-260 
 
 I-70 
 
 1-6 
 
 0-207 
 
 0-66 
 
 416-38 
 
 18890 
 
 1-62864 
 
 0-372 
 
 1-108 
 
 1-50 
 
 J'4 
 
 0-116 
 
 0-48 
 
 295-79 
 
 18900 
 
 0-41712 
 
 1-169 
 
 1-724 
 
 0-3I 
 
 O'2 
 
 0-794 
 
 0-18 
 
 175-20 
 
 1891 
 
 0-97474 
 
 0-199 
 
 0-571 
 
 0-88 
 
 07 
 
 0-587 
 
 077 
 
 54-61 
 
 *1 892-0 
 
 1-53236 
 
 0-996 
 
 1-187 
 
 i"45 
 
 I'3 
 
 0-380 
 
 o>7 
 
 420-61 
 
 18930 
 
 1-32084 
 
 i -026 
 
 !'035 
 
 1-25 
 
 I-I 
 
 0-289 
 
 0-29 
 
 300-02 
 
 1894-0 
 
 0-10932 
 
 0-056 
 
 1-651 
 
 0-05 
 
 1-6 
 
 0-083 
 
 O'OO 
 
 I79-43 
 
 18950 
 
 0-66694 
 
 0-853 
 
 0-499 
 
 0-62 
 
 0-4 
 
 0-760 
 
 0-58 
 
 58-84 
 
 * 1896-0 
 
 1-22455 
 
 1-651 
 
 1-115 
 
 1-19 
 
 ro 
 
 0-554 
 
 0-28 
 
 424-84 
 
 1897 
 
 1-01303 
 
 i -680 
 
 0-962 
 
 0-99 
 
 0-8 
 
 0-463 
 
 O'lO 
 
 304-25 
 
 18980 
 
 1-57065 
 
 0710 
 
 1-578 
 
 1-56 
 
 i-3 
 
 0-256 
 
 0-69 
 
 183-66 
 
 1899-O 
 
 0-35913 
 
 1-507 
 
 0-426 
 
 0-36 
 
 o-i 
 
 0-049 
 
 0-39 
 
 63-07 
 
 1 900 
 
 0-91675 
 
 0-537 
 
 1-042 
 
 o-93 
 
 0-7 
 
 0-727 
 
 0-09 
 
 4 8 5-59 
 
 Periods 
 
 1-76914 
 
 1-768 
 
 1-769 
 
 1-77 
 
 1-8 
 
 0-884 
 
 0-88 
 
 To find the True Longitude, reduced to Jupiter's Orbit, the entries of Column 2 must be supplemented by the equations of Tables XII-.XXIV. 
 
 13 
 
SATELLITE I 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 IX continued Values at Epoch of Mean Longitude and the Arguments 
 
 I 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 IO 
 
 Date 
 
 Mean Long. 
 
 A 
 
 B 
 
 C 
 
 D 
 
 E 
 
 F 
 
 G 
 
 H 
 
 
 O 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 19000 
 
 141-99987 
 
 0-42158 
 
 2-184 
 
 1*165 
 
 0-796 
 
 1*078 
 
 32-56 
 
 406-86 '39*57 
 
 1 9O1 O 
 
 255-48211 
 
 2-29883 
 
 0-536 
 
 1*440 
 
 '34' 
 
 1-632 
 
 397"5 6 
 
 3'4"'9 
 
 22-27 
 
 1 902 
 
 8-96435 
 
 0-65062 
 
 1-238 
 
 1714 
 
 0-117 
 
 0-417 
 
 361-40 
 
 22I-CI 
 
 387-27 
 
 1 903-0 
 
 122-44659 
 
 2-52787 
 
 1-940 
 
 0-218 
 
 0-662 
 
 0-972 
 
 325-25 128-84 
 
 269-97 
 
 *1 9O4-O 
 
 235-92882 
 
 0-87966 
 
 0-292 
 
 0-493 
 
 1-208 
 
 1-526 
 
 289-09 
 
 36-16 
 
 I52-66 
 
 1 905 
 
 192-90006 
 
 0-23145 
 
 1-994 
 
 1-768 
 
 0-984 
 
 I-3II 
 
 253"93 
 
 402-16 
 
 36-36 
 
 1 906-0 
 
 306-38229 
 
 2-10870 
 
 0-346 
 
 0-272 
 
 1-529 
 
 0-096 
 
 217-78 
 
 309-49 
 
 401-36 
 
 1907 
 
 59-86453 
 
 0-46049 
 
 1-048 
 
 0-546 
 
 0*305 
 
 0-651 
 
 181-62 
 
 216-81 
 
 284-06 
 
 * 19080 
 
 173-34677 
 
 33775 
 
 1750 
 
 0-821 
 
 0-850 
 
 I-205 
 
 145-46 
 
 124-14 
 
 16676 
 
 1909 
 
 130-31800 
 
 1-68954 
 
 I-IO2 
 
 0-325 
 
 0-626 
 
 0-990 
 
 110-31 
 
 32-46 
 
 50-46 
 
 191 O*O 
 
 243-80024 
 
 0-04132 
 
 1-804 
 
 0*600 
 
 1*172 
 
 1-544 
 
 74''5 
 
 397-46 
 
 415-46 
 
 1911 O 
 
 357-28248 
 
 1-91858 
 
 0*156 
 
 0-874 
 
 1-717 
 
 0-329 
 
 37-99 
 
 304-79 
 
 298-15 
 
 *1912'O 
 
 110-76472 
 
 0-27037 
 
 0*858 
 
 1-149 
 
 0-493 
 
 0-884 
 
 1-84 
 
 2I2'I I 
 
 180-85 
 
 1913 
 
 67-73595 
 
 3-14762 
 
 O-2O9 
 
 0*653 
 
 0-269 
 
 0-669 
 
 367-84 
 
 120-44 
 
 6 4-55 
 
 19140 
 
 181-21819 
 
 1-49941 
 
 0^12 
 
 0-928 
 
 0-814 
 
 1-223 
 
 33'-68 
 
 2776 
 
 429-55 
 
 19150 
 
 294-70043 
 
 3-37666 
 
 I*6l4 
 
 1-2O2 
 
 '359 
 
 O'OOS 
 
 295-52 
 
 392-76 
 
 3I2-25 
 
 *1916-O 
 
 48-18267 
 
 1-72845 
 
 2-316 
 
 I- 477 
 
 0-135 
 
 0-562 
 
 *59-37 
 
 300-09 
 
 '94"95 
 
 1917O 
 
 5"!539 
 
 1-08024 
 
 1-668 
 
 0-981 
 
 1-681 
 
 0*348 
 
 224*21 
 
 208-41 
 
 78-65 
 
 19180 
 
 118-63614 
 
 2-95749 
 
 0-019 
 
 1-255 
 
 o-457 
 
 0-902 
 
 188-05 
 
 H574 
 
 443^5 
 
 191 9-O 
 
 232-11838 
 
 1-30928 
 
 0721 
 
 '530 
 
 i -002 
 
 1-456 
 
 151-90 
 
 23-06 
 
 326-34 
 
 * 19200 
 
 345-60061 
 
 3-18654 
 
 1*424 
 
 0-034 
 
 1-547 
 
 0-241 
 
 "574 
 
 388-06 
 
 209-04 
 
 1 921 
 
 302-57185 
 
 2-53832 
 
 0-775 
 
 1-309 
 
 1-323 
 
 O-O26 
 
 80-58 
 
 296-39 
 
 92-74 
 
 1 922 O 
 
 56-05408 
 
 0-89011 
 
 I- 477 
 
 1-583 
 
 0-099 
 
 0-581 
 
 44-42 
 
 203-71 
 
 45774 
 
 19230 
 
 169-53632 
 
 2-76737 
 
 2-180 
 
 0-087 
 
 0-644 
 
 *SS 
 
 8-27 
 
 1 1 1 -04 
 
 340*44 
 
 *1 924 -O 
 
 283-01856 
 
 1*11916 
 
 0-531 
 
 0-362 
 
 1-190 
 
 1-689 
 
 373^7 
 
 18-36 
 
 223-14 
 
 19250 
 
 239-98979 
 
 0-47095 
 
 2-233 
 
 1-637 
 
 0-966 
 
 1-474 
 
 338-11 
 
 384-36 
 
 106*83 
 
 1 926-0 
 
 353-47203 
 
 2-34820 
 
 0-585 
 
 0-141 
 
 1-511 
 
 0-259 
 
 30I-95 
 
 291*69 
 
 471-83 
 
 19270 
 
 106-95427 
 
 0*69999 
 
 1-287 
 
 0-415 
 
 0-287 
 
 0-814 
 
 26579 
 
 199-01 
 
 354-53 
 
 * 19280 
 
 220-43651 
 
 2-57724 
 
 1-989 
 
 0-690 
 
 0-832 
 
 1-368 
 
 229-64 
 
 106-34 
 
 *37'23 
 
 1 929-0 
 
 177-40774 
 
 1-92903 
 
 '34i 
 
 0-194 
 
 0-608 
 
 1-153 
 
 194-48 
 
 14-66 
 
 120-93 
 
 1 9300 
 
 290-88998 
 
 0*28082 
 
 2-043 
 
 0-469 
 
 i-i53 
 
 1-707 
 
 158-32 
 
 379-66 
 
 3-63 
 
 1931 O 
 
 44-37222 
 
 2*15807 
 
 o'39S 
 
 0743 
 
 1-699 
 
 0-493 
 
 122-17 
 
 286-99 
 
 368*63 
 
 *1932-O 
 
 157-85446 
 
 0-50986 
 
 1-097 
 
 1-018 
 
 0-475 
 
 1-047 
 
 86-01 
 
 194-3* 
 
 251-3* 
 
 19330 
 
 1 14-82569 
 
 3-38711 
 
 0-449 
 
 0-522 
 
 0-251 
 
 0-832 
 
 50-85 
 
 102-64 
 
 135-02 
 
 1 934-0 
 
 228-30793 
 
 173890 
 
 1-151 
 
 0797 
 
 0-796 
 
 1-386 
 
 14-70 
 
 9'97 
 
 17-72 
 
 1 935 O 
 
 341-79017 
 
 0-09069 
 
 1-853 
 
 1-071 
 
 I- 34i 
 
 0-171 
 
 37970 
 
 374-97 
 
 382-72 
 
 *1 936 
 
 95-27240 
 
 1-96795 
 
 0-205 
 
 1-346 
 
 o-i 17 
 
 0-726 
 
 343-54 
 
 282-29 
 
 265-42 
 
 19370 
 
 52-24364 
 
 i"3'973 
 
 1-907 
 
 0-850 
 
 1-662 
 
 0-511 
 
 308-38 
 
 190-62 
 
 149*12 
 
 1 938 
 
 16572587 
 
 3-19699 
 
 0-259 
 
 1-125 
 
 0-438 
 
 1-065 
 
 272-23 
 
 97'94 
 
 31-81 
 
 1 939-O 
 
 279-2081 1 
 
 1-54878 
 
 0-961 
 
 1-399 
 
 0*984 
 
 1-619 
 
 236-07 
 
 5-27 
 
 396-81 
 
 * 1940-0 
 
 32-69035 
 
 3-42603 
 
 1-663 
 
 1-674 
 
 1*529 
 
 0-405 
 
 199-91 
 
 370-27 
 
 279-51 
 
 1 941 
 
 349-66158 
 
 2-77782 
 
 1*015 
 
 1-178 
 
 1-305 
 
 0-190 
 
 16475 
 
 278-59 
 
 163-21 
 
 1 942 O 
 
 103-14382 
 
 1*12961 
 
 1-717 
 
 i"453 
 
 0*08 1 
 
 0-744 
 
 128-60 
 
 185-92 
 
 45-9 1 
 
 1 943-0 
 
 216-62606 
 
 3-00686 
 
 0-069 
 
 1-727 
 
 0*626 
 
 1-298 
 
 92*44 
 
 93*24 
 
 410-91 
 
 *1 944-O 
 
 330-10830 
 
 1-35865 
 
 0-771 
 
 0-231 
 
 1*171 
 
 0-083 
 
 56*28 
 
 0-57 
 
 293-61 
 
 1 945 
 
 287-07953 
 
 0-71044 
 
 0-123 
 
 1-506 
 
 0-947 
 
 1-638 
 
 21-13 
 
 366-57 
 
 I77-3I 
 
 19460 
 
 40-56177 
 
 2-58769 
 
 0-825 
 
 o-oio 
 
 1-493 
 
 0-423 
 
 386-13 
 
 273*89 
 
 60-00 
 
 19470 
 
 154-04401 
 
 0*93948 
 
 1-527 
 
 0-285 
 
 0*209 
 
 0-977 
 
 349-97 181-22 
 
 425-00 
 
 '1948 
 
 267-52625 
 
 2-81673 
 
 2-229 
 
 0*559 
 
 0-814 
 
 1-531 
 
 313-81 88-54 
 
 307-70 
 
 1 949-0 
 
 224-49748 
 
 2-16852 
 
 1*581 
 
 0-063 
 
 0*590 
 
 1-316 
 
 278-66 454-54 
 
 191-40 
 
 1 950 
 
 337-97972 
 
 0*52031 
 
 2*283 
 
 0*338 
 
 '135 
 
 O*I02 
 
 242-50 361-87 
 
 74-10 
 
 Periods 
 
 3-52546 
 
 2-350 
 
 1-771 
 
 1769 
 
 1769 
 
 401-16 457-67 
 
 482-30 
 
 Constant subtracted from Column 2 : o-6oooo. 
 '4 
 
SATELLITE I 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 IX continued Values at Epoch of Mean Longitude and the Arguments 
 
 II 12 
 
 '3 
 
 14 
 
 15 
 
 16 
 
 '7 
 
 il 
 
 '9 
 
 1 J 
 
 K 
 
 L 
 
 M 
 
 N 
 
 o 
 
 P 
 
 Q 
 
 d 
 
 
 d 
 
 d 
 
 d 
 
 d d 
 
 d 
 
 d 
 
 63-07 
 
 19000 
 
 0-91675 
 
 0-537 
 
 1-042 
 
 O'93 
 
 0-7 
 
 0727 
 
 0-09 
 
 428^07 
 
 1901 
 
 1*47437 
 
 1*335 
 
 1-658 
 
 I-50 
 
 '3 
 
 0-520 
 
 0-68 
 
 307-48 
 
 1902 
 
 0-26285 
 
 0-364 
 
 0-506 
 
 0-30 
 
 O'l 
 
 o'3'4 
 
 0-38 
 
 186-89 
 
 1 903 
 
 0-82047 
 
 1-162 
 
 I'I22 
 
 0-87 
 
 0-6 
 
 0-107 
 
 0-08 
 
 66-30 
 
 "19040 
 
 1-37808 
 
 0-191 
 
 1738 
 
 1-44 
 
 I'2 
 
 0785 
 
 0-67 
 
 432-30 19O5-O 
 
 1-16656 
 
 O'22I 
 
 1-586 
 
 1-24 
 
 ro 
 
 0-694 
 
 o-49 
 
 311-71 1906'O 
 
 1-72418 
 
 1-018 
 
 0-433 
 
 0-04 
 
 i'5 
 
 0-487 
 
 0-19 
 
 191-12 19O7-O 
 
 0-51266 
 
 0-048 
 
 1-049 
 
 0-61 
 
 0-3 
 
 0-280 
 
 0-78 
 
 70-53 *19O8'O 
 
 1-07028 
 
 0-846 
 
 1-665 
 
 1-18 
 
 0-9 
 
 0-074 
 
 0-48 
 
 436-53 19090 
 
 0-85876 
 
 0-875 
 
 I-5I3 
 
 0-98 
 
 07 
 
 0-867 
 
 0-30 
 
 315-94 191O-O 
 
 1-41638 
 
 1-673 
 
 0-360 
 
 I- 55 
 
 I '2 
 
 0-661 
 
 O'OO 
 
 I95-35 
 
 1911 
 
 0-20486 
 
 0-702 
 
 0-976 
 
 0-36 
 
 o-o 
 
 0-454 
 
 0-58 
 
 74-76 
 
 *1912'O 
 
 076248 
 
 1-500 
 
 1-593 
 
 0-93 
 
 0-6 
 
 0-247 
 
 0-29 
 
 440-76 
 
 1913 
 
 0-55096 
 
 1-529 
 
 I-440 
 
 073 
 
 0-4 
 
 0-156 
 
 O'lO 
 
 320-17 
 
 191 4-O 
 
 I-I0858 
 
 0-559 
 
 0-287 
 
 1-30 
 
 0-9 
 
 o-834 
 
 0-69 
 
 199-58 
 
 19150 
 
 1-66619 
 
 1-357 
 
 0-904 
 
 O'lO 
 
 >'5 
 
 0-627 
 
 0-39 
 
 78-99 
 
 *1916-0 
 
 0-45468 
 
 0-386 
 
 1-52O 
 
 0-67 
 
 0-3 
 
 0-421 
 
 O'lO 
 
 444-99 
 
 19170 
 
 0-24316 
 
 0-416 
 
 1-367 
 
 0-47 
 
 O'J 
 
 0-330 
 
 0-80 
 
 324-40 
 
 19180 
 
 0-80077 
 
 1-213 
 
 O-2I5 
 
 1-04 
 
 0-6 
 
 0-123 
 
 0-50 
 
 203-81 
 
 19190 
 
 1-35839 
 
 0-243 
 
 0-831 
 
 1-61 
 
 I'2 
 
 0-801 
 
 O'2O 
 
 83-22 
 
 '-1920-0 
 
 0-14687 
 
 1-041 
 
 '447 
 
 0-41 
 
 O'O 
 
 0-594 
 
 0-79 
 
 449-22 
 
 1 921 -0 
 
 170449 
 
 1-070 
 
 1-295 
 
 O-2I 
 
 1-6 
 
 0-503 
 
 0-61 
 
 328-63 
 
 19220 
 
 0-49297 
 
 o-ioo 
 
 0-142 
 
 078 
 
 0-4 
 
 0-296 
 
 0-31 
 
 208-05 
 
 1923 
 
 1-05059 
 
 0-897 
 
 0758 
 
 1-35 
 
 0-9 
 
 0-090 
 
 o-oi 
 
 87-46 
 
 *1 924 
 
 I-6O82I 
 
 1-695 
 
 f374 
 
 0-15 
 
 '5 
 
 0767 
 
 0-60 
 
 453-46 
 
 19250 
 
 1-39669 
 
 1-724 
 
 1-222 
 
 1-72 
 
 >'3 
 
 0-677 
 
 0-42 
 
 33^87 
 
 1 926-0 
 
 0-18517 
 
 0754 
 
 0-069 
 
 0-52 
 
 O'l 
 
 0-470 
 
 O'I2 
 
 212-28 
 
 1 927-0 
 
 074279 
 
 1-552 
 
 0-685 
 
 I'og 
 
 0-6 
 
 0-263 
 
 0-71 
 
 91-69 
 
 *1 928 
 
 1-30040 
 
 0-581 
 
 I-302 
 
 1-66 
 
 I"2 
 
 0-057 
 
 0-41 
 
 457-69 
 
 1 929-0 
 
 1-08888 
 
 0-611 
 
 I-I49 
 
 1-46 
 
 I'O 
 
 0-850 
 
 0-23 
 
 337-10 
 
 1 930 
 
 1-64650 
 
 1-408 
 
 1765 
 
 0-27 
 
 I'5 
 
 0-643 
 
 0-8 1 
 
 216-51 
 
 1931 
 
 0-43498 
 
 0-438 
 
 0-6I3 
 
 0-84 
 
 0-3 
 
 0-437 
 
 0-52 
 
 95-92 
 
 *1932O 
 
 0-99260 
 
 !'235 
 
 I-229 
 
 1-41 
 
 0-9 
 
 0-230 
 
 0-22 
 
 461-92 
 
 1933 
 
 0-78108 
 
 1-265 
 
 I-076 
 
 I-2I 
 
 07 
 
 0-139 
 
 0-04 
 
 34 I- 33 
 
 1 9340 
 
 1-33870 
 
 0-295 
 
 1-693 
 
 O'OI 
 
 1*2 
 
 0-817 
 
 0-62 
 
 220-74 
 
 1 935-O 
 
 0'127l8 
 
 1-092 
 
 0-540 
 
 0-58 
 
 O'O 
 
 o'6io 
 
 0-32 
 
 100-15 
 
 '19360 
 
 0-68480 
 
 O-I22 
 
 I-I56 
 
 1-15 
 
 0-6 
 
 0-403 
 
 0-03 
 
 466-15 
 
 1 937-O 
 
 0-47328 
 
 0'I5I 
 
 I-OO4 
 
 0-95 
 
 0-4 
 
 0-312 
 
 073 
 
 345'5 6 
 
 1 9380 
 
 1-03090 
 
 0-949 
 
 I-620 
 
 1-51 
 
 0-9 
 
 0-106 
 
 0-43 
 
 224-97 
 
 1 939-O 
 
 1-58851 
 
 747 
 
 0-467 
 
 0-32 
 
 I- 5 
 
 0783 
 
 0-13 
 
 104-38 
 
 * 19400 
 
 0-37699 
 
 0-776 
 
 1-083 
 
 0-89 
 
 0-3 
 
 0-577 
 
 072 
 
 47 - 38 
 
 1 941 
 
 0-I6S47 
 
 0-806 
 
 0-93I 
 
 0-69 
 
 o-i 
 
 0-486 
 
 0-54 
 
 34979 
 
 1 942 
 
 0-72309 
 
 1-603 
 
 1-547 
 
 1-26 
 
 07 
 
 0-279 
 
 0-24 
 
 229-20 
 
 1 943 
 
 1-28071 
 
 0-633 
 
 0*394 0-06 
 
 I'2 
 
 0-073 
 
 0-83 
 
 total 
 
 *1 944-O 
 
 0-06919 
 
 1-430 
 
 l*Oll 
 
 0-63 
 
 o-o 
 
 075 
 
 0*53 
 
 474-61 
 
 19450 
 
 1-62681 
 
 1-460 
 
 0-858 
 
 0-43 
 
 1-6 
 
 0-659 
 
 0-35 
 
 354-01 
 
 19460 
 
 0-41529 
 
 0-490 
 
 1-474 
 
 i-oo 
 
 0-4 
 
 o-453 
 
 0-05 
 
 233-43 
 
 1 947-O 
 
 0-97291 
 
 1-287 
 
 0*322 
 
 1-57 
 
 0-9 
 
 0*246 
 
 0-64 
 
 112-84 
 
 19480 
 
 I-53053 
 
 0-317 
 
 0-938 
 
 0-37 
 
 '5 
 
 0-039 
 
 0'34 
 
 478-84 
 
 1 949 
 
 1-31901 
 
 0-346 
 
 0785 
 
 0-18 
 
 i'3 
 
 0-833 
 
 0-16 
 
 358-25 
 
 1950 
 
 0-10749 
 
 1-144 
 
 1-402 
 
 075 
 
 o-i 
 
 0*626 
 
 074 
 
 485-59 
 
 Periods 
 
 176914 
 
 1-768 
 
 1769 
 
 1-77 
 
 1-8 
 
 0-884 
 
 0-88 
 
 To find the True Longitude, reduced to Jupiter's Orbit, the entries of Column 2 must be supplemented by the equations of Tables XII-XXIV. 
 
 '5 
 
SATELLITE I 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 IX continued Values at Epoch of Mean Longitude and the Arguments 
 
 I 
 
 z 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 IO 
 
 Date 
 
 Mean Long. 
 
 A 
 
 B 
 
 c 
 
 D 
 
 E 
 
 F 
 
 G 
 
 H 
 
 
 O 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 1 950 O 
 
 337-97972 
 
 0-52031 
 
 2-283 
 
 0-338 
 
 I-I35 
 
 O'IO2 
 
 242-50 
 
 361-87 
 
 74-10 
 
 1951 
 
 91-46196 
 
 2-39757 
 
 0-635 
 
 O'6l2 
 
 1-680 
 
 0-656 
 
 206-34 
 
 269-19 
 
 439-IO 
 
 *1952'O 
 
 204-94420 
 
 074935 
 
 i'337 
 
 0-887 
 
 0-456 
 
 I'2IO 
 
 I70-I9 
 
 176-52 
 
 32I'8O 
 
 1953 
 
 161-91543 
 
 O-IOII4 
 
 0-688 
 
 0-391 
 
 0-232 
 
 0-995 
 
 I35-03 
 
 84-84 
 
 205-49 
 
 19540 
 
 275"39767 
 
 1-97840 
 
 1-391 
 
 0-666 
 
 0-778 
 
 I-550 
 
 98-87 
 
 449-84 
 
 88-19 
 
 1 9550 
 
 28-87990 
 
 0-33019 
 
 2-093 
 
 0*940 
 
 1-323 
 
 0-335 
 
 62*72 
 
 357-I7 
 
 453-'9 
 
 *1956*O 
 
 142-36214 
 
 2-20744 
 
 0-444 
 
 1-215 
 
 0-099 
 
 0-889 
 
 26-56 
 
 264-49 
 
 335-89 
 
 19570 
 
 99-33337 
 
 I-55923 
 
 2-147 
 
 0-719 
 
 1-644 
 
 0-674 
 
 39 2 "56 
 
 172-82 
 
 219-59 
 
 1 958-0 
 
 212-81561 
 
 3-43648 
 
 0-498 
 
 0-994 
 
 0-420 
 
 1-228 
 
 356-40 
 
 80-14 
 
 102*29 
 
 19590 
 
 326-29785 
 
 178827 
 
 i -200 
 
 268 
 
 0-965 
 
 O'OI3 
 
 320-24 
 
 445'H 
 
 467-29 
 
 *1 96O-O 
 
 79-78009 
 
 0-14006 
 
 1-903 
 
 '543 
 
 1-511 
 
 0'568 
 
 284-09 
 
 352-47 
 
 349-98 
 
 1 961 
 
 36-75132 
 
 3-OI73I 
 
 1-254 
 
 047 
 
 1-287 
 
 0'353 
 
 248-93 
 
 260-79 
 
 233-68 
 
 1962 O 
 
 150-23356 
 
 1-36910 
 
 1-956 
 
 -322 
 
 0-063 
 
 0-907 
 
 212-77 
 
 168-12 
 
 116-38 
 
 19630 
 
 263-71580 
 
 3-24635 
 
 0-308 
 
 596 
 
 0-608 
 
 1-461 
 
 176-62 
 
 75-45 
 
 481*38 
 
 *1 964 
 
 17-19804 
 
 1-59814 
 
 roio 
 
 O'lOO 
 
 I-I53 
 
 0-247 
 
 140*46 
 
 440-45 
 
 364-08 
 
 1 965 O 
 
 334-16927 
 
 0-94993 
 
 0-362 
 
 '375 
 
 0-929 
 
 0-032 
 
 105-30 
 
 348-77 
 
 247*78 
 
 19660 
 
 87-65151 
 
 2-82719 
 
 1-064 
 
 1-650 
 
 i "474 
 
 0-586 
 
 69-15 
 
 256-10 
 
 130-48 
 
 1967 O 
 
 201-13375 
 
 1-17898 
 
 1-766 
 
 0-154 
 
 0-250 
 
 I-I4O 
 
 32'99 
 
 163-42 
 
 13-17 
 
 - 1 968 
 
 3i4-6i599 
 
 3-05623 
 
 0-118 
 
 0-428 
 
 0-796 
 
 1-695 
 
 397*99 
 
 70-75 
 
 378-I7 
 
 1969 
 
 271-58722 
 
 2-40802 
 
 1-820 
 
 1-703 
 
 0-572 
 
 1-480 
 
 362*83 
 
 436-75 
 
 261-87 
 
 1 9700 
 
 25-06946 
 
 075981 
 
 0-172 
 
 0-207 
 
 1-117 
 
 0-265 
 
 326-68 
 
 344-07 
 
 '44'57 
 
 1971-O 
 
 138-55169 
 
 2-63706 
 
 0-874 
 
 0-482 
 
 1-662 
 
 0*819 
 
 290-52 
 
 251-40 
 
 27-27 
 
 *1972O 
 
 252-03393 
 
 0-98885 
 
 1-576 
 
 0-756 
 
 0-438 
 
 1-373 
 
 254-36 
 
 15872 
 
 392-27 
 
 1973 O 
 
 209*00516 
 
 0-34064 
 
 0-928 
 
 0-260 
 
 0*214 
 
 I-158 
 
 219-20 
 
 67*05 
 
 275-97 
 
 1974O 
 
 322-48740 
 
 2-21789 
 
 1-630 
 
 0-535 
 
 0759 
 
 I*7I3 
 
 183*05 
 
 432-05 
 
 158*66 
 
 19750 
 
 75-96964 
 
 0-56968 
 
 2-332 
 
 o'Sio 
 
 1-305 
 
 0-498 
 
 146-89 
 
 339-37 
 
 41-36 
 
 *1976O 
 
 189-45188 
 
 2-44693 
 
 0-684 
 
 1-084 
 
 0-081 
 
 I-O52 
 
 110-73 
 
 246*70 
 
 406*36 
 
 1977-O 
 
 146-42311 
 
 1-79872 
 
 0-036 
 
 0-588 
 
 1-626 
 
 0-837 
 
 75-58 
 
 155-02 
 
 290-06 
 
 19780 
 
 259-9053S 
 
 0-I505I 
 
 0-738 
 
 0-863 
 
 0-402 
 
 i"39 2 
 
 39-42 
 
 62-35 
 
 172*76 
 
 19790 
 
 13-38759 
 
 2-02776 
 
 1-440 
 
 I-I37 
 
 o-947 
 
 0-177 
 
 3-26 
 
 4Z7-35 
 
 SSH 6 
 
 *1 980 
 
 126-86983 
 
 0-37955 
 
 2-142 
 
 1-412 
 
 1-492 
 
 0-731 
 
 368*26 
 
 334-67 
 
 420*46 
 
 1 981 O 
 
 83-84106 
 
 3'2568l 
 
 1-494 
 
 0-916 
 
 1-268 
 
 0-516 
 
 333-n 
 
 243*00 
 
 304-15 
 
 1 9820 
 
 197-32330 
 
 1-60860 
 
 2-196 
 
 1-191 
 
 0-044 
 
 1-070 
 
 296*95 
 
 150*32 
 
 186-85 
 
 1983O 
 
 310-80554 
 
 3-48585 
 
 0-548 
 
 1-465 
 
 0-590 
 
 1-625 
 
 260-79 
 
 57-65 
 
 69-55 
 
 *1 984 -O 
 
 64-28778 
 
 1-83764 
 
 1-250 
 
 1-740 
 
 I-I35 
 
 0*410 
 
 224*64 
 
 422*65 
 
 434-55 
 
 19850 
 
 21-25901 
 
 1-18943 
 
 o'6oi 
 
 1-244 
 
 0-911 
 
 0*195 
 
 189-48 
 
 33097 
 
 318-25 
 
 1 986 
 
 134-74125 
 
 3-06668 
 
 1-304 
 
 1-519 
 
 1-456 
 
 0-749 
 
 I53-32 
 
 238-30 
 
 200-95 
 
 1987-0 
 
 248-22348 
 
 1-41847 
 
 2-006 
 
 0-023 
 
 0-232 
 
 1-304 
 
 117-16 
 
 145*62 
 
 83-64 
 
 *1988O 
 
 1-70572 
 
 3-29572 
 
 o-358 
 
 0-297 
 
 0-777 
 
 0-089 
 
 8roi 
 
 52-95 
 
 448*64 
 
 1 989 
 
 318-67695 
 
 2-64751 
 
 2-060 
 
 1-572 
 
 0-553 
 
 1-643 
 
 45-85 
 
 418*95 
 
 332-34 
 
 1990 
 
 72-15919 
 
 0-99930 
 
 0-412 
 
 0-076 
 
 1-099 
 
 0-428 
 
 9-69 
 
 326*27 
 
 215-04 
 
 1991-0 
 
 185-64143 
 
 2-87655 
 
 1-114 
 
 0-351 
 
 1-644 
 
 0-982 
 
 374- 6 9 
 
 233-60 
 
 9774 
 
 *1992O 
 
 299-12367 
 
 J-22834 
 
 1-816 
 
 0-625 
 
 0*420 
 
 1*537 
 
 338-54 
 
 140*92 
 
 462-74 
 
 1993 
 
 256-09490 
 
 0-58013 
 
 1-168 
 
 0-129 
 
 0-196 
 
 1-322 
 
 303-38 
 
 49*25 
 
 346-44 
 
 1 994-O 
 
 9-57714 
 
 2-45738 
 
 1-870 
 
 0-404 
 
 0-741 
 
 0*107 
 
 267-22 
 
 414*25 
 
 229-14 
 
 19950 
 
 123-05938 
 
 0-80917 
 
 O'22I 
 
 0-679 
 
 1-286 
 
 0-661 
 
 231-07 
 
 321-58 
 
 111-83 
 
 *1996 
 
 236-54162 
 
 2-68643 
 
 0-924 
 
 0-953 
 
 0-062 
 
 1-215 
 
 194-91 
 
 228-90 
 
 476-83 
 
 1 997-O 
 
 193-51285 
 
 2-03822 
 
 0-275 
 
 0-457 
 
 i -608 
 
 I-OOI 
 
 I597S 
 
 137-23 
 
 360-53 
 
 1 998 
 
 306-99509 
 
 0-39001 
 
 0-977 
 
 0-732 
 
 0-384 
 
 1-555 
 
 123*60 
 
 44-55 
 
 243-*3 
 
 1 999-O 
 
 6o*47733 
 
 2-26726 
 
 1-680 
 
 1-007 
 
 0-929 
 
 0-340 
 
 87*44 
 
 409-55 
 
 125-93 
 
 *20OO*0 
 
 I73'95957 
 
 0-61905 
 
 0-031 
 
 1-281 
 
 ''474 
 
 0*894 
 
 51*28 
 
 316*88 
 
 8-63 
 
 Periods 
 
 ... 
 
 3-52546 
 
 2-35 
 
 1-771 
 
 1-769 
 
 1*769 
 
 40 1 1 6 
 
 457^7 
 
 482*30 
 
 Constant subtracted from Column 2 : o'6oooo. 
 16 
 
SATELLITE I 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 IX continued Values at Epoch of Mean Longitude and the Arguments 
 
 1 1 
 
 12 
 
 '3 
 
 >4 
 
 5 
 
 16 
 
 7 
 
 18 
 
 '9 
 
 1 
 
 J 
 
 K 
 
 L 
 
 M 
 
 N 
 
 O 
 
 p 
 
 Q 
 
 d 
 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 358^5 
 
 1 950-0 
 
 0-10749 
 
 I-I44 
 
 1-402 
 
 075 
 
 o-i 
 
 0-626 
 
 o-74 
 
 237-66 
 
 1951 
 
 0-66510 
 
 0-173 
 
 0-249 
 
 I-32 
 
 0-6 
 
 0-419 
 
 0-45 
 
 II7-07 
 
 *1952'O 
 
 I-22272 
 
 O^I 
 
 0-865 
 
 O'I2 
 
 1-2 
 
 0*2I3 
 
 0-15 
 
 483-07 
 
 1 9530 
 
 I-OII2O 
 
 I-OOI 
 
 0713 
 
 1-69 
 
 I*O 
 
 O*I22 
 
 0-85 
 
 362-48 
 
 1 954-0 
 
 1-56882 
 
 0-030 
 
 1-329 
 
 0-49 
 
 I'S 
 
 0*799 
 
 o-55 
 
 241-89 
 
 19550 
 
 0-35730 
 
 0-828 
 
 0-176 
 
 1'06 
 
 0-3 
 
 o-593 
 
 0-26 
 
 I21'30 
 
 * 19560 
 
 0-91492 
 
 1-625 
 
 0792 
 
 ,-6 3 
 
 0-9 
 
 0-386 
 
 0-84 
 
 171 
 
 19570 
 
 0-70340 
 
 1-655 
 
 0-640 
 
 '43 
 
 0-7 
 
 0*295 
 
 0-66 
 
 36671 
 
 1 958-0 
 
 I-26lO2 
 
 0-685 
 
 1-256 
 
 0-23 
 
 I'2 
 
 0*088 
 
 0-36 
 
 246-12 
 
 1 9590 
 
 0-04950 
 
 1-482 
 
 O-IO4 
 
 0-80 
 
 O'O 
 
 0*766 
 
 0-06 
 
 '25-53 
 
 *196OO 
 
 0-60712 
 
 0-512 
 
 0-72O 
 
 '"37 
 
 0-6 
 
 0*559 
 
 0-65 
 
 5'94 
 
 1961 O 
 
 0-39560 
 
 0-541 
 
 0-567 
 
 1-17 
 
 0-4 
 
 0-469 
 
 o-47 
 
 370-94 
 
 1 9620 
 
 0-95321 
 
 1-339 
 
 1-183 
 
 1-74 
 
 0-9 
 
 0-262 
 
 0-17 
 
 z5"35 
 
 1 963 O 
 
 1-51083 
 
 0-368 
 
 O-O3I 
 
 0*54 
 
 '5 
 
 0-055 
 
 0-76 
 
 129-76 
 
 *1964*O 
 
 0-29931 
 
 1-166 
 
 0-647 
 
 i-u 
 
 0-3 
 
 0733 
 
 0-46 
 
 10-17 
 
 1 965-O 
 
 0-08779 
 
 1-196 
 
 0-494 
 
 0-91 
 
 o-i 
 
 0-642 
 
 0-28 
 
 375'i7 
 
 1968 O 
 
 0-64541 
 
 0-225 
 
 I-III 
 
 1-48 
 
 0-7 
 
 o-43S 
 
 0-87 
 
 2 54'59 
 
 1967 
 
 1-20303 
 
 1-023 
 
 1727 
 
 0-28 
 
 1*2 
 
 0-229 
 
 0-57 
 
 134*00 
 
 *19680 
 
 1-76065 
 
 0-052 
 
 0-574 
 
 0-85 
 
 o-o 
 
 O'O22 
 
 0-27 
 
 14-41 
 
 1969 
 
 i'549'3 
 
 0-082 
 
 0*422 
 
 0-66 
 
 1-6 
 
 0-8I5 
 
 0-09 
 
 3 79'4 i 
 
 19700 
 
 0-33761 
 
 0-879 
 
 1-038 
 
 1*23 
 
 0-4 
 
 0-609 
 
 0-67 
 
 258-82 
 
 1971-0 
 
 0-89523 
 
 1-677 
 
 1-654 
 
 0*03 
 
 "9 
 
 0-402 
 
 0-38 
 
 138-23 
 
 *1972-O 
 
 1-45284 
 
 0707 
 
 0-502 
 
 0-60 
 
 '5 
 
 0-195 
 
 0-08 
 
 18-64 
 
 1973-0 
 
 1-24132 
 
 0-736 
 
 '349 
 
 0-40 
 
 i'3 
 
 O-IO4 
 
 078 
 
 383-64 
 
 1 974 
 
 0-02980 
 
 1-534 
 
 0-965 
 
 o'97 
 
 o-i 
 
 0782 
 
 0-48 
 
 263-05 
 
 1 975-O 
 
 0-58742 
 
 0-563 
 
 1-581 
 
 i-S4 
 
 0-6 
 
 0-575 
 
 0-19 
 
 142-46 
 
 *1976'O 
 
 1-14504 
 
 1-361 
 
 0-429 
 
 0*34 
 
 rz 
 
 0-369 
 
 0-77 
 
 22-87 
 
 1 977-O 
 
 0-93352 
 
 1-390 
 
 0-276 
 
 0-14 
 
 1*0 
 
 0-278 
 
 0-59 
 
 387-87 
 
 1 9780 
 
 1-49114 
 
 0-420 
 
 0*892 
 
 071 
 
 I'S 
 
 0-071 
 
 0-29 
 
 267-28 
 
 19790 
 
 0-27962 
 
 1-218 
 
 1-509 
 
 1-28 
 
 0-3 
 
 0749 
 
 o-oo 
 
 146-69 
 
 *1 980 O 
 
 0-83724 
 
 0-247 
 
 0-356 
 
 0-08 
 
 0-9 
 
 0-542 
 
 0-58 
 
 27-10 
 
 1 981 
 
 0-62572 
 
 0-277 
 
 0*203 
 
 1-65 
 
 0-7 
 
 0*451 
 
 0-40 
 
 392-10 
 
 1 982 
 
 1-18334 
 
 1-074 
 
 0-820 
 
 0-45 
 
 1'2 
 
 0-245 
 
 o-io 
 
 271-51 
 
 1 983 
 
 1-74095 
 
 0-104 
 
 I-436 
 
 i -02 
 
 o-o 
 
 0-038 
 
 0-69 
 
 150-92 
 
 *1 984-0 
 
 0-52943 
 
 0-902 
 
 0-283 
 
 1-59 
 
 0-6 
 
 0-716 
 
 0-39 
 
 3I-33 
 
 1 985 
 
 0-31791 
 
 0-931 
 
 0*131 
 
 i'39 
 
 0-4 
 
 0-625 
 
 0-21 
 
 39 6 '33 
 
 1 986-0 
 
 0-87553 
 
 1-729 
 
 0*747 
 
 0-19 
 
 i-o 
 
 0-418 
 
 0'8o 
 
 275-74 
 
 19870 
 
 I-433I5 
 
 0-758 
 
 1-363 
 
 0-76 
 
 1-5 
 
 O-2II 
 
 0-50 
 
 I55-I5 
 
 "1988 
 
 0-22163 
 
 1-556 
 
 0-2II 
 
 i-33 
 
 0-3 
 
 0-OO5 
 
 O'2O 
 
 35-56 
 
 1989 
 
 O'OIOI I 
 
 1-585 
 
 0-058 
 
 1-14 
 
 0*1 
 
 0-798 
 
 O*O2 
 
 400-56 
 
 1 990 O 
 
 0-56773 
 
 0-615 
 
 0-674 
 
 1-71 
 
 0*7 
 
 0-591 
 
 0-6 1 
 
 279-97 
 
 1991 
 
 1-12535 
 
 '"4'3 
 
 I-29O 
 
 0-51 
 
 1*2 
 
 0-385 
 
 0-31 
 
 "59-38 
 
 *1992'O 
 
 1-68297 
 
 0-442 
 
 0-138 
 
 i -08 
 
 o-o 
 
 0-178 
 
 o-o i 
 
 3979 
 
 1 993-O 
 
 '47145 
 
 0-472 
 
 '754 
 
 0-88 
 
 1-6 
 
 0-087 
 
 0-71 
 
 404-79 
 
 1 994 
 
 0-25993 
 
 1-269 
 
 O'6O I 
 
 1-45 
 
 0*4 
 
 0-765 
 
 0-42 
 
 284-20 
 
 1995 
 
 0-81754 
 
 0-299 
 
 I-2I8 
 
 0*25 
 
 0*9 
 
 0-558 
 
 0'12 
 
 163-61 
 
 *1996 
 
 1-37516 
 
 1-096 
 
 0-065 
 
 0-82 
 
 i'5 
 
 0-352 
 
 0-70 
 
 44-02 
 
 1 997-0 
 
 1-16364 
 
 1-126 
 
 I-68I 
 
 0-62 
 
 i'3 
 
 O-26l 
 
 0-52 
 
 409-02 
 
 1 998 
 
 1-72126 
 
 0-156 
 
 0-529 
 
 1-19 
 
 o-i 
 
 0-054 
 
 O-22 
 
 288-43 
 
 1999 
 
 0-50974 
 
 0-953 
 
 1*145 
 
 1-76 
 
 0-6 
 
 0732 
 
 0-8 1 
 
 167-84 
 
 * 200 00 
 
 1-06736 
 
 1-751 
 
 I76l 
 
 0-56 
 
 11 
 
 0-525 
 
 0-51 
 
 4 8 S-59 
 
 Periods 
 
 1-76914 
 
 1-768 
 
 1769 
 
 177 
 
 1-8 
 
 0-884 
 
 0-88 
 
 To find the True Longitude, reduced to Jupiter's Orbit, the entries of Column 2 must be supplemented by the equations of Tables XII-XXIV. 
 
 '7 
 
SATELLITE I 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 Motions of Mean Longitude and the Arguments for Days 
 
 I 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 Day 
 
 Mean Long. 
 
 A 
 
 B 
 
 c 
 
 D 
 
 E 
 
 F 1 
 
 
 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 January 1 
 
 203-48899 
 
 i-ooooo 
 
 i-ooo 
 
 l-OOO 
 
 rooo 
 
 rooo 
 
 I'OO 
 
 2 
 
 46-97798 
 
 2-OOOOO 
 
 2'OOQ 
 
 0-229 
 
 0-231 
 
 0-231 
 
 2'OO 
 
 3 
 
 250-46698 
 
 3'OQOOO 
 
 0-650 
 
 1*229 
 
 1-231 
 
 1-231 
 
 3'OO 
 
 4 
 
 93'95597 
 
 0-47454 
 
 1-650 
 
 0-459 
 
 0-462 
 
 0-462 
 
 4'OO 
 
 5 
 
 z 9 7 -44496 
 
 '47454 
 
 0-299 
 
 i-459 
 
 1-462 
 
 1-462 
 
 5-OO 
 
 6 
 
 140-93395 
 
 2-47454 
 
 1-299 
 
 0-688 
 
 0-692 
 
 0-693 
 
 6-00 
 
 7 
 
 344-42295 
 
 S'47454 
 
 2-299 
 
 1-688 
 
 1-692 
 
 1-693 
 
 7-00 
 
 8 
 
 187-91194 
 
 0-94907 
 
 0-949 
 
 0-918 
 
 0-923 
 
 0-923 
 
 8-00 
 
 9 
 
 31-40093 
 
 1-94907 
 
 1-949 
 
 0-147 
 
 0-154 
 
 0-154 
 
 9-00 
 
 1O 
 
 234-88992 
 
 2-94907 
 
 0-599 
 
 1-147 
 
 1-154 
 
 1-154 
 
 10-00 
 
 11 
 
 78-37892 
 
 0-42361 
 
 1-599 
 
 0-377 
 
 0-385 
 
 0-385 
 
 II'OO 
 
 12 
 
 281-86791 
 
 1-42361 
 
 0-248 
 
 1-377 
 
 i-385 
 
 '385 
 
 I2-OO 
 
 13 
 
 125-35690 
 
 2-42361 
 
 1-248 
 
 0-606 
 
 0-616 
 
 o'6i6 
 
 13-00 
 
 14 
 
 328-84589 
 
 3-42361 
 
 2-248 
 
 1-606 
 
 1-616 
 
 1-616 
 
 14-00 
 
 15 
 
 172-33489 
 
 0-89815 
 
 0-898 
 
 0-836 
 
 0-846 
 
 0-847 
 
 15-00 
 
 16 
 
 15-82388 
 
 1-89815 
 
 1-898 
 
 0-065 
 
 0-077 
 
 0-078 
 
 16-00 
 
 17 
 
 219-31287 
 
 2-89815 
 
 0-548 
 
 1-065 
 
 1-077 
 
 1-078 
 
 17-00 
 
 18 
 
 62-80186 
 
 0-37268 
 
 l-5 4 8 
 
 0-295 
 
 0-308 
 
 0-308 
 
 1 8-00 
 
 19 
 
 266-29086 
 
 1-37268 
 
 0-198 
 
 1-295 
 
 1-308 
 
 1-308 
 
 19-00 
 
 20 
 
 109-77985 
 
 2-37268 
 
 1-198 
 
 0-524 
 
 0-539 
 
 0-539 
 
 20-00 
 
 21 
 
 313-26884 
 
 3-37*68 
 
 2-198 
 
 1-524 
 
 '539 
 
 1-539 
 
 2 I'OO 
 
 22 
 
 15675783 
 
 0-84722 
 
 0-847 
 
 0754 
 
 0-770 
 
 0-770 
 
 22-00 
 
 23 
 
 0-24683 
 
 1-84722 
 
 1-847 
 
 '754 
 
 o-ooo 
 
 o-ooi 
 
 23-00 
 
 24 
 
 203-73582 
 
 2-84722 
 
 0-497 
 
 0-983 
 
 rooo 
 
 I'OOI 
 
 24-00 
 
 25 
 
 47-22481 
 
 0-32176 
 
 1-497 
 
 0-213 
 
 0-231 
 
 0-232 
 
 25-00 
 
 26 
 
 250-71380 
 
 1-32176 
 
 0-147 
 
 1-213 
 
 1-231 
 
 1-232 
 
 26-00 
 
 27 
 
 94-20280 
 
 2-32176 
 
 I-I47 
 
 0-442 
 
 0-462 
 
 0-463 
 
 27-00 
 
 28 
 
 297-69179 
 
 3-32176 
 
 2-147 
 
 1-442 
 
 1-462 
 
 i'4 6 3 
 
 28-00 
 
 29 
 
 141-18078 
 
 0-79629 
 
 0-796 
 
 0-672 
 
 0-693 
 
 0-694 
 
 29-00 
 
 3O 
 
 344-66977 
 
 1-79629 
 
 1796 
 
 1-672 
 
 1-693 
 
 1-694 
 
 30-00 
 
 31 
 
 188-15877 
 
 2-79629 
 
 0-446 
 
 0-901 
 
 0-924 
 
 0-924 
 
 31-00 
 
 February 1 
 
 31-64776 
 
 0-27083 
 
 1-446 
 
 0-131 
 
 0-154 
 
 0-155 
 
 32-00 
 
 2 
 
 235-13675 
 
 1-27083 
 
 0-096 
 
 1-131 
 
 1-154 
 
 1-155 
 
 33-00 
 
 3 
 
 78-62574 
 
 2-27083 
 
 1-096 
 
 0-360 
 
 0-385 
 
 0-386 
 
 34-00 
 
 4 
 
 282*11474 
 
 3-27083 
 
 2-096 
 
 1-360 
 
 J-385 
 
 1-386 
 
 35-00 
 
 5 
 
 125-60373 
 
 0-74536 
 
 745 
 
 0-590 
 
 0-616 
 
 0-617 
 
 36-00 
 
 6 
 
 329-09272 
 
 1-74536 
 
 1-745 
 
 1-590 
 
 1-616 
 
 1-617 
 
 37-00 
 
 7 
 
 172-58171 
 
 2-74536 
 
 0-395 
 
 0-819 
 
 0-847 
 
 0-848 
 
 38-00 
 
 8 
 
 16-07070 
 
 0-21990 
 
 '395 
 
 0-049 
 
 0-078 
 
 0-079 
 
 39-00 
 
 9 
 
 219-55970 
 
 1-21990 
 
 0-045 
 
 1-049 
 
 1-078 
 
 1-079 
 
 40-00 
 
 1O 
 
 63-04869 
 
 2-21990 
 
 1-045 
 
 0-278 
 
 0-308 
 
 0-309 
 
 41-00 
 
 11 
 
 266-53768 
 
 3-21990 
 
 2-045 
 
 1-278 
 
 1-308 
 
 1-309 
 
 42-00 
 
 12 
 
 110-02667 
 
 0-69444 
 
 0-694 
 
 0-508 
 
 o-539 
 
 0-540 
 
 43-00 
 
 13 
 
 313-51567 
 
 1-69444 
 
 1-694 
 
 1-508 
 
 '539 
 
 1-540 
 
 44-00 
 
 14 
 
 157-00466 
 
 2-69444 
 
 o-344 
 
 0737 
 
 0-770 
 
 0-771 
 
 45-00 
 
 15 
 
 0-49365 
 
 0-16897 
 
 i-344 
 
 i-737 
 
 O'OOI 
 
 O-OO2 
 
 46-00 
 
 16 
 
 203-98264 
 
 1-16897 
 
 2 '344 
 
 0-967 
 
 POO I 
 
 rooz 
 
 47-00 
 
 17 
 
 47-47164 
 
 2-16897 
 
 0-994 
 
 0-196 
 
 0-232 
 
 0-233 
 
 48-00 
 
 18 
 
 250-96063 
 
 3-16897 
 
 1-994 
 
 1-196 
 
 1-232 
 
 1-233 
 
 49-00 
 
 19 
 
 94-44962 
 
 0-64351 
 
 0-644 
 
 0-426 
 
 0-462 
 
 0-464 
 
 50-00 
 
 20 
 
 297-93861 
 
 I-6435I 
 
 1-644 
 
 1-426 
 
 1-462 
 
 1-464 
 
 51-00 
 
 21 
 
 141*42761 
 
 2-64351 
 
 0-293 
 
 0-655 
 
 0-693 
 
 0-695 
 
 52-00 
 
 22 
 
 344-91660 
 
 o'i 1805 
 
 1-293 
 
 1-655 
 
 1-693 
 
 1-695 
 
 53-00 
 
 In Leap Year diminish the date in Columns i, 9, by i day after Feb. 28 
 18 
 
SATELLITE I 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 Motions of Mean Longitude and the Arguments for Days 
 
 9 
 
 10 
 
 II 
 
 12 
 
 <3 
 
 14 
 
 '5 
 
 16 
 
 Day 
 
 J 
 
 K 
 
 L 
 
 M 
 
 N,0 
 
 P 
 
 Q 
 
 
 y 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 January 1 
 
 0*003 
 
 I "OOOOO 
 
 i-ooo 
 
 I'OOO 
 
 POO 
 
 0*1 l6 
 
 O*l I 
 
 2 
 
 0*005 
 
 0-23086 
 
 0-232 
 
 0*231 
 
 0*23 
 
 0*231 
 
 0-23 
 
 3 
 
 0-008 
 
 1-23086 
 
 I-232 
 
 I-231 
 
 1*23 
 
 0-347 
 
 0'3S 
 
 4 
 
 O'OI I 
 
 0-46172 
 
 0*464 
 
 0*462 
 
 0*46 
 
 0*463 
 
 0-46 
 
 5 
 
 0-014 
 
 1-46172 
 
 1*464 
 
 1-462 
 
 1-46 
 
 0*579 
 
 0*58 
 
 6 
 
 0-016 
 
 0-69259 
 
 0*696 
 
 0*693 
 
 0*69 
 
 0*694 
 
 0*69 
 
 7 
 
 0-019 
 
 1-69259 
 
 1-696 
 
 1-693 
 
 1*69 
 
 0*8 1 o 
 
 0*8 1 
 
 8 
 
 O-022 
 
 0-92345 
 
 0-928 
 
 0* 9 25 
 
 0-92 
 
 0*042 
 
 0*04 
 
 9 
 
 0-025 
 
 0-15431 
 
 0-160 
 
 0*156 
 
 0-15 
 
 0*157 
 
 0*16 
 
 10 
 
 0-027 
 
 "15431 
 
 1*160 
 
 1*156 
 
 1-15 
 
 0*273 
 
 0-27 
 
 11 
 
 0-030 
 
 0-38517 
 
 0*392 
 
 0*387 
 
 0-39 
 
 0*389 
 
 0-39 
 
 12 
 
 0-033 
 
 1-38517 
 
 1*392 
 
 I-387 
 
 1-39 
 
 0-504 
 
 0-50 
 
 13 
 
 0-036 
 
 0-61604 
 
 0*624 
 
 0-6 1 8 
 
 0-62 
 
 0*620 
 
 0-62 
 
 14 
 
 0*038 
 
 1-61604 
 
 1-624 
 
 1*618 
 
 1*62 
 
 0*736 
 
 073 
 
 15 
 
 0-041 
 
 0-84690 
 
 0-856 
 
 0*849 
 
 0*85 
 
 0*852 
 
 0-85 
 
 16 
 
 0-044 
 
 0-07776 
 
 0-088 
 
 0*080 
 
 0*08 
 
 0-083 
 
 0*08 
 
 17 
 
 0-047 
 
 1-07776 
 
 1*088 
 
 1*080 
 
 1-08 
 
 0-199 
 
 0-19 
 
 18 
 
 0-049 
 
 0-30862 
 
 0*320 
 
 0*311 
 
 0*31 
 
 0*314 
 
 0*31 
 
 19 
 
 0-052 
 
 1-30862 
 
 1*320 
 
 1-311 
 
 1*31 
 
 0*430 
 
 0-43 
 
 20 
 
 0-055 
 
 0-53948 
 
 0*552 
 
 'S43 
 
 0-54 
 
 0*546 
 
 0*54 
 
 21 
 
 0-058 
 
 1-53948 
 
 1*552 
 
 1-543 
 
 i-54 
 
 0-662 
 
 0*66 
 
 22 
 
 0-060 
 
 0-77035 
 
 0*784 
 
 0-774 
 
 077 
 
 0777 
 
 0*77 
 
 23 
 
 0-063 
 
 0-OOI2I 
 
 0*0 1 6 
 
 0*005 
 
 O'OO 
 
 0-009 
 
 0*00 
 
 24 
 
 0-066 
 
 POOI2I 
 
 1*016 
 
 1*005 
 
 i-oo 
 
 0*125 
 
 O*I2 
 
 25 
 
 0-068 
 
 0-23207 
 
 0*248 
 
 0*236 
 
 0*23 
 
 0*240 
 
 O*23 
 
 26 
 
 0-071 
 
 1-23207 
 
 1*248 
 
 1*236 
 
 1*23 
 
 0*356 
 
 0*35 
 
 27 
 
 0-074 
 
 0*46293 
 
 0-480 
 
 0*467 
 
 0*46 
 
 0-472 
 
 0*47 
 
 28 
 
 0-077 
 
 1-46293 
 
 1-480 
 
 1-467 
 
 1*46 
 
 0*587 
 
 0*58 
 
 29 
 
 0-079 
 
 0-69380 
 
 0*712 
 
 0*698 
 
 0*69 
 
 0703 
 
 0-70 
 
 3O 
 
 o - o8z 
 
 1-69380 
 
 1*712 
 
 1*698 
 
 1-69 
 
 0-819 
 
 0-8 1 
 
 31 
 
 0-085 
 
 0-92466 
 
 0*944 
 
 0*929 
 
 o*93 
 
 O'OCI 
 
 ^. 
 
 0*04 
 
 February 1 
 
 0-088 
 
 0-15552 
 
 0*176 
 
 0*161 
 
 0*16 
 
 0*166 
 
 0*16 
 
 2 
 
 0*090 
 
 I-I5552 
 
 1*176 
 
 1*161 
 
 1*16 
 
 0*282 
 
 0*27 
 
 3 
 
 0-093 
 
 0-38638 
 
 0-409 
 
 0*392 
 
 0*39 
 
 o-397 
 
 o'39 
 
 4 
 
 0-096 
 
 1-38638 
 
 1*409 
 
 1*392 
 
 i-39 
 
 0-513 
 
 0-50 
 
 5 
 
 0-099 
 
 0-61724 
 
 0-641 
 
 0*623 
 
 0*62 
 
 0*629 
 
 0*62 
 
 6 
 
 O'lOI 
 
 1-61724 
 
 1*641 
 
 1-623 
 
 i-6z 
 
 0745 
 
 0*74 
 
 7 
 
 0-104 
 
 0-84811 
 
 0*873 
 
 0-854 
 
 0*85 
 
 0*860 
 
 0*85 
 
 8 
 
 0-107 
 
 0-07897 
 
 0*105 
 
 0-085 
 
 0*08 
 
 0*092 
 
 0*08 
 
 9 
 
 O'lIO 
 
 1-07897 
 
 1-105 
 
 1*085 
 
 1*08 
 
 0-208 
 
 0*20 
 
 1O 
 
 0-112 
 
 0-30983 
 
 o-337 
 
 0-316 
 
 0-31 
 
 0*323 
 
 0*32 
 
 11 
 
 O-II5 
 
 1-30983 
 
 1-337 
 
 1*316 
 
 1-31 
 
 0-439 
 
 0*43 
 
 12 
 
 0-118 
 
 0-54069 
 
 0-569 
 
 0*548 
 
 0*54 
 
 0-555 
 
 0-54 
 
 13 
 
 O'I2I 
 
 1-54069 
 
 1-569 
 
 1*548 
 
 '54 
 
 0*670 
 
 0*66 
 
 14 
 
 0-123 
 
 0-77155 
 
 o - 8oi 
 
 0*779 
 
 0-77 
 
 0*786 
 
 0*78 
 
 15 
 
 0-126 
 
 0-00242 
 
 0-033 
 
 0*010 
 
 o-oo 
 
 0*018 
 
 0*01 
 
 16 
 
 0-129 
 
 1-00242 
 
 1-033 
 
 1*010 
 
 roo 
 
 o-i33 
 
 0'12 
 
 17 
 
 0-132 
 
 0-23328 
 
 0-265 
 
 0-241 
 
 0*23 
 
 0*249 
 
 0*24 
 
 18 
 
 0-134 
 
 1-23328 
 
 1-265 
 
 1-241 
 
 1*23 
 
 0-365 
 
 0*35 
 
 19 
 
 0-137 
 
 0-46414 
 
 0-497 
 
 0*472 
 
 0-47 
 
 0*480 
 
 0*47 
 
 20 
 
 0-140 
 
 1-46414 
 
 1*497 
 
 1*472 
 
 1*47 
 
 0*596 
 
 0-58 
 
 21 
 
 0-142 
 
 0-69500 
 
 0*729 
 
 0*703 
 
 070 
 
 0712 
 
 0-70 
 
 22 
 
 0-145 
 
 1*69500 
 
 1*729 
 
 1*703 
 
 1*70 
 
 0*828 
 
 0-81 
 
 In Leap Year diminish the date in Columns i, 9, by i day after Feb. 28. 
 '9 
 
X continued 
 
 SATELLITE I 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 Motions of Mean Longitude and the Arguments for Days 
 
 I 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 8 
 
 Day 
 
 Mean Long. 
 
 A 
 
 B 
 
 c 
 
 D 
 
 E 
 
 F-l 
 
 
 o 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 February 23 
 
 188*40559 
 
 I'l 1805 
 
 2-293 
 
 0-885 
 
 0-924 
 
 0-925 
 
 54-00 
 
 24 
 
 31-89458 
 
 2-II805 
 
 0-943 
 
 0-II4 
 
 0-155 
 
 0-156 
 
 55-00 
 
 25 
 
 235-38358 
 
 3'i 1805 
 
 '"943 
 
 1-1 14 
 
 I-I55 
 
 I-I 5 6 
 
 56-00 
 
 26 
 
 78-87257 
 
 0-59258 
 
 0-593 
 
 0-344 
 
 0-386 
 
 0-387 
 
 57-00 
 
 27 
 
 282*36156 
 
 1-59258 
 
 I- 593 
 
 '344 
 
 1-386 
 
 I- 3 8 7 
 
 58-00 
 
 28 
 
 125-85055 
 
 2-59258 
 
 0-242 
 
 0-573 
 
 0-616 
 
 0-6l8 
 
 59-00 
 
 March 1 
 
 3*9'33955 
 
 0-06712 
 
 1-242 
 
 1-573 
 
 1-616 
 
 1-618 
 
 6o"oo 
 
 2 
 
 172-82854 
 
 1-06712 
 
 2-242 
 
 O-8O3 
 
 0-847 
 
 0-849 
 
 6roo 
 
 3 
 
 i6'3753 
 
 2-06712 
 
 0-892 
 
 O-O32 
 
 0-078 
 
 0-080 
 
 62-00 
 
 4 
 
 219-80652 
 
 3-06712 
 
 1-892 
 
 I-032 
 
 1-078 
 
 1-080 
 
 63-00 
 
 5 
 
 63-29552 
 
 0-54166 
 
 0-542 
 
 O-262 
 
 0-309 
 
 0-310 
 
 64-00 
 
 6 
 
 266-78451 
 
 1-54166 
 
 1-542 
 
 I-262 
 
 1-309 
 
 1-310 
 
 65-00 
 
 7 
 
 110-27350 
 
 2-54166 
 
 0-191 
 
 0-491 
 
 0-540 
 
 0-541 
 
 66-00 
 
 8 
 
 31376249 
 
 0-01619 
 
 1-191 
 
 I-49I 
 
 1-540 
 
 1-541 
 
 67-00 
 
 9 
 
 157-25149 
 
 1-01619 
 
 2-191 
 
 0-72I 
 
 0-770 
 
 0-772 
 
 68-00 
 
 1O 
 
 0-74048 
 
 2-01619 
 
 0-841 
 
 1721 
 
 O'OOI 
 
 0-003 
 
 69-00 
 
 11 
 
 204-22947 
 
 3-01619 
 
 1-841 
 
 0-950 
 
 I'OOl 
 
 1-003 
 
 70-00 
 
 12 
 
 47-71846 
 
 0-49073 
 
 0-491 
 
 O'lSo 
 
 0-232 
 
 0-234 
 
 71-00 
 
 13 
 
 251-20746 
 
 1-49073 
 
 1-491 
 
 1-180 
 
 1-232 
 
 1-234 
 
 72-00 
 
 14 
 
 94-69645 
 
 2-49073 
 
 0*140 
 
 0-409 
 
 0-463 
 
 0-465 
 
 73-00 
 
 15 
 
 298-18544 
 
 3-49 73 
 
 1-140 
 
 1-409 
 
 1-463 
 
 1-465 
 
 7400 
 
 16 
 
 141-67443 
 
 0-96527 
 
 2-140 
 
 0-638 
 
 0-694 
 
 0-696 
 
 75-00 
 
 17 
 
 345-I6343 
 
 1-96527 
 
 0-790 
 
 1-638 
 
 1-694 
 
 1-696 
 
 76-00 
 
 18 
 
 188-65242 
 
 2-96527 
 
 1-790 
 
 0-868 
 
 0-924 
 
 0-926 
 
 77-00 
 
 19 
 
 32-14141 
 
 0-43980 
 
 0-440 
 
 0-097 
 
 0-155 
 
 0-157 
 
 78-00 
 
 20 
 
 235-63040 
 
 1-43980 
 
 1-440 
 
 1-097 
 
 1-155 
 
 1-157 
 
 79-00 
 
 21 
 
 79-11939 
 
 2-43980 
 
 0-089 
 
 0-327 
 
 0-386 
 
 0-388 
 
 80-00 
 
 22 
 
 282-60839 
 
 3-4398o 
 
 1-089 
 
 1-3*7 
 
 1-386 
 
 1-388 
 
 8roo 
 
 23 
 
 126-09738 
 
 0-91434 
 
 2-089 
 
 0-556 
 
 0-617 
 
 0-619 
 
 82-00 
 
 24 
 
 329-58637 
 
 1-91434 
 
 0739 
 
 1-556 
 
 1-617 
 
 1-619 
 
 83-00 
 
 25 
 
 173-07536 
 
 2 '9-434 
 
 '739 
 
 0-786 
 
 0-848 
 
 0-850 
 
 84-00 
 
 26 
 
 16-56436 
 
 0-38887 
 
 0-389 
 
 0-015 
 
 0-079 
 
 0-08 1 
 
 85-00 
 
 27 
 
 220-05335 
 
 1-38887 
 
 1-389 
 
 1-015 
 
 1-079 
 
 i -08 1 
 
 86-00 
 
 28 
 
 63-54 2 34 
 
 2-38887 
 
 0-039 
 
 0245 
 
 0-309 
 
 0-311 
 
 87-00 
 
 29 
 
 267-03133 
 
 3-38887 
 
 1-039 
 
 1-245 
 
 1-309 
 
 1-311 
 
 88-00 
 
 3O 
 
 1 10-52033 
 
 0-86341 
 
 2-039 
 
 0-474 
 
 0-540 
 
 0-542 
 
 89-00 
 
 31 
 
 314-00932 
 
 1-86341 
 
 0-688 
 
 -474 
 
 1-540 
 
 1-542 
 
 90-00 
 
 April 1 
 
 157-49831 
 
 2-86341 
 
 1-688 
 
 0-704 
 
 0-771 
 
 0773 
 
 91-00 
 
 2 
 
 0-98730 
 
 0-33795 
 
 0-338 
 
 1-704 
 
 O-OO2 
 
 0-004 
 
 92-00 
 
 3 
 
 204-47630 
 
 J-33795 
 
 1-338 
 
 0-933 
 
 I-OO2 
 
 1-004 
 
 93-00 
 
 4 
 
 47-96529 
 
 2-33795 
 
 2-338 
 
 0-163 
 
 0-233 
 
 0-235 
 
 94-00 
 
 5 
 
 251-45428 
 
 3'33795 
 
 0-988 
 
 1-163 
 
 i-*33 
 
 i' 2 35 
 
 95-00 
 
 6 
 
 94'94327 
 
 0-81248 
 
 1-988 
 
 0-392 
 
 0-463 
 
 0-466 
 
 96-00 
 
 7 
 
 298-43227 
 
 1-81248 
 
 0-637 
 
 1-392 
 
 1-463 
 
 1-466 
 
 97-00 
 
 8 
 
 141-92126 
 
 2-81248 
 
 1-637 
 
 0-622 
 
 0-694 
 
 0-697 
 
 98-00 
 
 9 
 
 345'4'z5 
 
 0-28702 
 
 0-287 
 
 1-622 
 
 1-694 
 
 1-697 
 
 99-00 
 
 1O 
 
 188-89924 
 
 1-28702 
 
 1-287 
 
 0-851 
 
 0-925 
 
 0-927 
 
 100-00 
 
 11 
 
 32-38824 
 
 2-28702 
 
 2-287 
 
 0-081 
 
 0-156 
 
 0-158 
 
 lOI'OO 
 
 12 
 
 Z35-87723 
 
 3-28702 
 
 0-937 
 
 i -08 1 
 
 1-156 
 
 1-158 
 
 IO2'OO 
 
 13 
 
 79-36622 
 
 0-76156 
 
 1*937 
 
 0-310 
 
 0-387 
 
 0-389 
 
 103-00 
 
 14 
 
 282-85521 
 
 1-76156 
 
 0-586 
 
 1-310 
 
 1-387 
 
 1-389 
 
 104-00 
 
 15 
 
 126-34421 
 
 2-76156 
 
 1-586 
 
 0-540 
 
 0-617 
 
 0-620 
 
 105^00 
 
 16 
 
 329-83320 
 
 0-23609 
 
 0-236 
 
 1-540 
 
 1-617 
 
 1-620 
 
 106-00 
 
 In Leap Year diminish the date in Columns i, 9, by i day after Feb. 28. 
 zo 
 
SATELLITE I 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 X continued Motions of Mean Longitude and the Arguments for Days 
 
 9 
 
 10 
 
 II 
 
 12 
 
 "3 
 
 '4 
 
 1$ 
 
 16 
 
 Day 
 
 J 
 
 K 
 
 L 
 
 M 
 
 N,0 
 
 P 
 
 Q 
 
 
 y 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 February 23 
 
 0-148 
 
 0-92587 
 
 0-961 
 
 0-934 
 
 0-93 
 
 0-059 
 
 0-05 
 
 24 
 
 O'lJI 
 
 0-15673 
 
 0-193 
 
 0-166 
 
 0-16 
 
 0-175 
 
 0-16 
 
 25 
 
 -i53 
 
 IM5673 
 
 I'193 
 
 1-166 
 
 l-lti 
 
 0-291 
 
 0-28 
 
 26 
 
 0-156 
 
 0-38759 
 
 0-425 
 
 Q'397 
 
 0-39 
 
 0-406 
 
 0-39 
 
 27 
 
 0-159 
 
 1-38759 
 
 1-425 
 
 1-397 
 
 i'39 
 
 0-522 
 
 0-51 
 
 28 
 
 0-162 
 
 0-61845 
 
 0-657 
 
 0-628 
 
 0-62 
 
 0-638 
 
 0-62 
 
 March 1 
 
 0-164 
 
 1-61845 
 
 1-657 
 
 1-628 
 
 1-62 
 
 0753 
 
 0-74 
 
 2 
 
 0-167 
 
 0-84931 
 
 0-889 
 
 0-859 
 
 0-85 
 
 0-869 
 
 0-85 
 
 3 
 
 0-170 
 
 0-O80I8 
 
 O-I21 
 
 0-090 
 
 0-08 
 
 o-ioi 
 
 0-09 
 
 4 
 
 0-173 
 
 1-08018 
 
 I-I2I 
 
 1-090 
 
 i -08 
 
 0-216 
 
 O'2O 
 
 5 
 
 0-175 
 
 0-31104 
 
 0-353 
 
 0-321 
 
 0-31 
 
 o-33 2 
 
 0-32 
 
 6 
 
 0-178 
 
 1-31104 
 
 1-353 
 
 1-321 
 
 i'3 
 
 0-448 
 
 '43 
 
 7 
 
 0-181 
 
 0-54190 
 
 0-585 
 
 0-552 
 
 0-54 
 
 0-563 
 
 0-55 
 
 8 
 
 0-184 
 
 1-54190 
 
 1-585 
 
 1-552 
 
 >-54 
 
 0-679 
 
 0-66 
 
 9 
 
 0-186 
 
 077276 
 
 0-817 
 
 0-784 
 
 0-78 
 
 0-795 
 
 078 
 
 1O 
 
 0-189 
 
 0-00363 
 
 0-049 
 
 0-015 
 
 o-oi 
 
 0-026 
 
 o-oi 
 
 11 
 
 0-192 
 
 1-00363 
 
 1-049 
 
 1*015 
 
 I-OI 
 
 0-142 
 
 O'I2 
 
 12 
 
 0-195 
 
 0-23449 
 
 0-281 
 
 0-246 
 
 0-24 
 
 0-258 
 
 0-24 
 
 13 
 
 0-197 
 
 1-23449 
 
 1-281 
 
 1*246 
 
 1-24 
 
 0-374 
 
 0-36 
 
 14 
 
 0-2OO 
 
 0-46535 
 
 0-513 
 
 0-477 
 
 0-47 
 
 0-489 
 
 0-47 
 
 15 
 
 O-2O3 
 
 1-46535 
 
 I-5I3 
 
 1-477 
 
 '47 
 
 0-605 
 
 0-59 
 
 16 
 
 O-2O5 
 
 0-69621 
 
 0-745 
 
 0-708 
 
 0-70 
 
 0-721 
 
 0-70 
 
 17 
 
 O-2O8 
 
 1-69621 
 
 1-745 
 
 1-708 
 
 1-70 
 
 0-836 
 
 0-82 
 
 18 
 
 0-21 I 
 
 0-92707 
 
 0-977 
 
 0-939 
 
 0-93 
 
 0-068 
 
 0-05 
 
 19 
 
 O-2I4 
 
 0-15794 
 
 0-209 
 
 0-170 
 
 0-16 
 
 0-184 
 
 0-16 
 
 20 
 
 0'2l6 
 
 ''5794 
 
 1-209 
 
 1-170 
 
 1-16 
 
 0-299 
 
 0-28 
 
 21 
 
 O-2I9 
 
 0-38880 
 
 0-441 
 
 0-402 
 
 0-39 
 
 0-415 
 
 0-40 
 
 22 
 
 0-222 
 
 1-38880 
 
 1-441 
 
 1-402 
 
 i-39 
 
 o'53> 
 
 0-51 
 
 23 
 
 O-225 
 
 0-61966 
 
 0-673 
 
 0-633 
 
 0-62 
 
 0-646 
 
 0-63 
 
 24 
 
 0-227 
 
 1-61966 
 
 1-673 
 
 1-633 
 
 1-62 
 
 0-762 
 
 0-74 
 
 25 
 
 O-23O 
 
 0-85052 
 
 0-905 
 
 0-864 
 
 0-85 
 
 0-878 
 
 0-86 
 
 26 
 
 0-233 
 
 0-08139 
 
 0-137 
 
 0-095 
 
 0-08 
 
 0-109 
 
 0-09 
 
 27 
 
 0-236 
 
 1-08139 
 
 1-137 
 
 1-095 
 
 i -08 
 
 0-225 
 
 0'2O 
 
 28 
 
 0-238 
 
 0-31225 
 
 0-369 
 
 0-326 
 
 0-32 
 
 0-341 
 
 0-32 
 
 29 
 
 0-241 
 
 1-31225 
 
 1-369 
 
 1-326 
 
 i'3 
 
 o-457 
 
 0-43 
 
 30 
 
 0-244 
 
 o-543ii 
 
 0-601 
 
 0-557 
 
 0-55 
 
 0-572 
 
 0-55 
 
 31 
 
 0-247 
 
 1-54311 
 
 1-601 
 
 1-557 
 
 i-55 
 
 0-688 
 
 0-67 
 
 April 1 
 
 0-249 
 
 077397 
 
 0-833 
 
 0787 
 
 0-78 
 
 0-804 
 
 0-78 
 
 2 
 
 O-252 
 
 0-00483 
 
 0-065 
 
 0-O2O 
 
 o-oi 
 
 0-035 
 
 0-O2 
 
 3 
 
 0-255 
 
 1-00483 
 
 1-065 
 
 I-02O 
 
 I-OI 
 
 0-151 
 
 0-13 
 
 4 
 
 0-258 
 
 0-23570 
 
 0-297 
 
 O-25I 
 
 0-24 
 
 0-267 
 
 0-24 
 
 5 
 
 O'26o 
 
 1-23570 
 
 1-297 
 
 I-25I 
 
 1-24 
 
 0-382 
 
 0-36 
 
 6 
 
 0-263 
 
 0-46656 
 
 0-529 
 
 0-482 
 
 0-47 
 
 0-498 
 
 0-47 
 
 7 
 
 O-266 
 
 1-46656 
 
 1-529 
 
 1-482 
 
 1-47 
 
 0-614 
 
 0- 59 
 
 8 
 
 0-268 
 
 0-69742 
 
 0761 
 
 0713 
 
 0-70 
 
 0-729 
 
 071 
 
 9 
 
 0-27I 
 
 1-69742 
 
 1-761 
 
 1713 
 
 1-70 
 
 0-845 
 
 0-82 
 
 1O 
 
 0-274 
 
 0-92828 
 
 0-994 
 
 0-944 
 
 0-93 
 
 0-077 
 
 0-05 
 
 11 
 
 0-277 
 
 0-15915 
 
 0-226 
 
 0-175 
 
 0-16 
 
 0-192 
 
 0-I7 
 
 12 
 
 0-279 
 
 1-15915 
 
 1-226 
 
 1-175 
 
 1-16 
 
 0-308 
 
 0-28 
 
 13 
 
 0-282 
 
 0-39001 
 
 0-458 
 
 0-407 
 
 0-39 
 
 0-424 
 
 0-40 
 
 14 
 
 0-285 
 
 1-39001 
 
 1-458 
 
 I-407 
 
 1-39 
 
 0-540 
 
 0-5I 
 
 15 
 
 0-288 
 
 0-62087 
 
 0-690 
 
 0-638 
 
 0-62 
 
 0-655 
 
 0-63 
 
 16 
 
 0-290 
 
 1-62087 
 
 1-690 
 
 1-638 
 
 1-62 
 
 0-771 
 
 074 
 
 In Leap Year diminish the date in Columns i, 9, by i day after Feb. xS. 
 21 
 
SATELLITE I 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 X continued Motions of Mean Longitude and the Arguments for Days 
 
 I 
 
 1 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 Day 
 
 Mean Long. 
 
 A 
 
 B 
 
 c 
 
 D 
 
 E 
 
 F 1 
 
 April 1 7 
 
 
 
 173-32219 
 
 d 
 1-23609 
 
 d 
 1-236 
 
 d 
 0-769 
 
 d 
 0-848 
 
 d 
 0-851 
 
 d 
 IO7-OO 
 
 18 
 
 16-81118 
 
 2-23609 
 
 2-236 
 
 1-769 
 
 0-079 
 
 O-O82 IO8'00 
 
 19 
 
 420-30018 
 
 3-23609 
 
 0-886 
 
 0-999 
 
 1-079 
 
 1*082 109-00 
 
 2O 
 
 6378917 
 
 0-71063 
 
 1-886 
 
 0-228 
 
 0-310 
 
 0-312 
 
 IIO'OO 
 
 21 
 
 267-27816 
 
 171063 
 
 o'53S 
 
 1-228 
 
 I-3IO 
 
 I'3'2 
 
 111-00 
 
 22 
 
 110-76715 
 
 271063 
 
 ''535 
 
 0-458 
 
 0-541 
 
 0-543 
 
 I I2'OO 
 
 23 
 
 314-25615 
 
 0-18517 
 
 0-185 
 
 I-458 
 
 I-54I 
 
 '543 
 
 I13-00 
 
 24 
 
 '57745H 
 
 1-18517 
 
 1-185 
 
 0-687 
 
 0771 
 
 0774 
 
 II4-OO 
 
 25 
 
 J'234'3 
 
 2-I85I7 
 
 2-185 
 
 1-687 
 
 0-OO2 
 
 0-005 
 
 II5-OO 
 
 26 
 
 204-72312 
 
 3-18517 
 
 0-835 
 
 0-917 
 
 I'OO2 
 
 1-005 
 
 116-00 
 
 27 
 
 48*21211 
 
 0-65970 
 
 1-835 
 
 0-146 
 
 0-233 
 
 0-236 
 
 117-00 
 
 28 
 
 2517011 1 
 
 1-65970 
 
 0-485 
 
 1-146 
 
 1-233 
 
 1-236 
 
 118-00 
 
 29 
 
 95 19010 
 
 2-65970 
 
 1-485 
 
 0-376 
 
 0-464 
 
 0-467 
 
 119-00 
 
 30 
 
 298-67909 
 
 0-13424 
 
 0-134 
 
 I-376 
 
 1-464 
 
 1-467 
 
 1 20-00 
 
 May 1 
 
 142-16808 
 
 ''3424 
 
 1-134 
 
 0-605 
 
 0-695 
 
 0-698 
 
 12I-OO 
 
 2 
 
 345-65708 
 
 2-13424 
 
 2-134 
 
 1-605 
 
 1-695 
 
 1-698 
 
 1 22-00 
 
 3 
 
 189-14607 
 
 3'134-H 
 
 0-784 
 
 0-835 
 
 0-925 
 
 0-928 
 
 123-00 
 
 4 
 
 32-63506 
 
 0-60878 
 
 1-784 
 
 0-064 
 
 0-156 
 
 0-159 
 
 124-00 
 
 5 
 
 236*12405 
 
 1-60878 
 
 '434 
 
 1-064 
 
 I-I56 
 
 1-159 
 
 125-00 
 
 6 
 
 79-61305 
 
 2-60878 
 
 1-434 
 
 0-294 
 
 0-387 
 
 0-390 
 
 126-00 
 
 7 
 
 283*10204 
 
 0-08331 
 
 0-083 
 
 1-294 
 
 I-38 7 
 
 1-390 
 
 127-00 
 
 8 
 
 126*59103 
 
 1-08331 
 
 1-083 
 
 0-523 
 
 0-6 1 8 
 
 0-621 
 
 128-00 
 
 9 
 
 330*08002 
 
 2-08331 
 
 2-083 
 
 I-523 
 
 1-618 
 
 1-621 
 
 129-00 
 
 1O 
 
 173-56902 
 
 3-08331 
 
 0733 
 
 0753 
 
 0-849 
 
 0-852 
 
 130-00 
 
 11 
 
 17-05801 
 
 0-55785 
 
 '733 
 
 i-753 
 
 0-079 
 
 0-083 
 
 131-00 
 
 12 
 
 220-54700 
 
 'SS785 
 
 0-383 
 
 0-982 
 
 1-079 
 
 1-083 
 
 132*00 
 
 13 
 
 64-03599 
 
 2-55785 
 
 1-383 
 
 0-212 
 
 0-310 
 
 0-313 
 
 133-00 
 
 14 
 
 267-52499 
 
 0-03238 
 
 0-032 
 
 I-2I2 
 
 1-310 
 
 1-313 
 
 134-00 
 
 15 
 
 111-01398 
 
 1-03238 
 
 1-032 
 
 0-441 
 
 0-541 
 
 0-544 
 
 I 3 5'oo 
 
 16 
 
 314-50297 
 
 2-03238 
 
 2-032 
 
 I-44I 
 
 1-541 
 
 i '544 
 
 136-00 
 
 17 
 
 157-99196 
 
 3-03238 
 
 0682 
 
 0-67I 
 
 0772 
 
 0775 
 
 137-00 
 
 18 
 
 1-48096 
 
 0-50692 
 
 1-682 
 
 1-671 
 
 0-003 
 
 0-006 
 
 138*00 
 
 19 
 
 204-96995 
 
 1-50692 
 
 0-332 
 
 O^OO 
 
 1-003 
 
 i"oo6 
 
 139-00 
 
 2O 
 
 48-45894 
 
 2-50692 
 
 1-332 
 
 O-I3O 
 
 0-233 
 
 0-237 
 
 140-00 
 
 21 
 
 25 1 '94793 
 
 3-50692 
 
 2-332 
 
 I-I30 
 
 i'233 
 
 1-237 
 
 141-00 
 
 22 
 
 95"43693 
 
 0-98146 
 
 0-981 
 
 0-359 
 
 0-464 
 
 0-468 
 
 142-00 
 
 23 
 
 298-92592 
 
 1-98146 
 
 1-981 
 
 '359 
 
 1-464 
 
 1-468 
 
 143-00 
 
 24 
 
 142-41491 
 
 2-98146 
 
 0-631 
 
 0-589 
 
 0-695 
 
 0-699 
 
 144-00 
 
 25 
 
 345-90390 
 
 0-45599 
 
 1-631 
 
 1-589 
 
 1-695 
 
 1-699 
 
 145-00 
 
 26 
 
 189-39290 
 
 ''45599 
 
 0-281 
 
 0-8 1 8 
 
 0-926 
 
 0-929 
 
 146-00 
 
 27 
 
 32-88189 
 
 z '45599 
 
 1-281 
 
 0-048 
 
 0-157 
 
 0-160 
 
 147*00 
 
 28 
 
 236-37088 
 
 3-45599 
 
 2-281 
 
 1-048 
 
 1-157 
 
 1-160 
 
 148-00 
 
 29 
 
 79-85987 
 
 0-93053 
 
 0-931 
 
 0-277 
 
 0-387 
 
 0-391 
 
 149*00 
 
 3O 
 
 483-34887 
 
 1-93053 
 
 '931 
 
 1-277 
 
 1-387 
 
 1-391 
 
 150*00 
 
 31 
 
 126-83786 
 
 2-93053 
 
 0-580 
 
 0-506 
 
 0-6 1 8 
 
 0-622 
 
 151-00 
 
 June 1 
 
 330-32685 
 
 0-40507 
 
 1-580 
 
 1-506 
 
 1-618 
 
 1-622 
 
 152*00 
 
 2 
 
 173-81584 
 
 1-40507 
 
 0-230 
 
 0736 
 
 0-849 
 
 0-853 
 
 153*00 
 
 3 
 
 17-30483 
 
 2-40507 
 
 1-230 
 
 1736 
 
 0-080 
 
 0-084 
 
 154*00 
 
 4 
 
 22079383 
 
 3-40507 
 
 2-230 
 
 0-965 
 
 i -080 
 
 1-084 
 
 155*00 
 
 5 
 
 64-28282 
 
 0-87960 
 
 0-880 
 
 0-195 
 
 0-311 
 
 0-314 
 
 156-00 
 
 6 
 
 267-77181 
 
 1-87960 
 
 1-880 
 
 1-195 
 
 1-311 
 
 I-3I4 
 
 157*00 
 
 7 
 
 ii 1-26080 
 
 2-87960 
 
 0-529 
 
 0-424 
 
 0-541 
 
 0-545 
 
 158*00 
 
 In Leap Year diminish the date in Columns i, 9, by i day after Feb. 28. 
 22 
 
SATELLITE I 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 X continued Motions of Mean Longitude and the Arguments for Days 
 
 9 
 
 10 
 
 ii 
 
 12 
 
 13 
 
 4 
 
 5 
 
 16 
 
 Day 
 
 J 
 
 K 
 
 L 
 
 M 
 
 N, 
 
 P 
 
 Q 
 
 April 17 
 
 y 
 0-293 
 
 d 
 0-85173 
 
 d 
 0*922 
 
 d 
 0*869 
 
 d 
 
 0-86 
 
 d 
 O'OO2 
 
 d 
 
 0-86 
 
 18 
 
 0-296 
 
 0-08259 
 
 0-154 
 
 O'lOO 
 
 0-09 
 
 0-118 
 
 0-09 
 
 19 
 
 0-299 
 
 1-08259 
 
 I-I54 
 
 l-IOO 
 
 1-09 
 
 0-234 
 
 0-21 
 
 20 
 
 0-301 
 
 0-31346 
 
 0-386 
 
 0-33I 
 
 0-32 
 
 0*350 
 
 0-32 
 
 21 
 
 0-304 
 
 1-31346 
 
 1*386 
 
 1*331 
 
 1-32 
 
 0-465 
 
 0-44 
 
 22 
 
 0-307 
 
 0-54432 
 
 0*6 1 8 
 
 0-562 
 
 0-55 
 
 0-581 
 
 0-55 
 
 23 
 
 0-310 
 
 I- 5443 2 
 
 1*618 
 
 1-562 
 
 55 
 
 0-697 
 
 0-67 
 
 24 
 
 0-312 
 
 0-77518 
 
 0*850 
 
 0793 
 
 0-78 
 
 0-812 
 
 078 
 
 25 
 
 '3'5 
 
 0-00604 
 
 0-082 
 
 O-O25 
 
 O'OI 
 
 0-044 
 
 0'O2 
 
 26 
 
 0-318 
 
 i -00604 
 
 1-082 
 
 I-O25 
 
 I'OI 
 
 0-160 
 
 0-13 
 
 27 
 
 0-321 
 
 0-23691 
 
 0-314 
 
 0-256 
 
 0-24 
 
 0*275 
 
 0-25 
 
 28 
 
 0-323 
 
 1-23691 
 
 i-SH 
 
 1-256 
 
 1-24 
 
 0*391 
 
 0-36 
 
 29 
 
 0-326 
 
 0-46777 
 
 0-546 
 
 0-487 
 
 0-47 
 
 0-507 
 
 0-48 
 
 3O 
 
 0-329 
 
 1-46777 
 
 1-546 
 
 1-487 
 
 >'47 
 
 0-623 
 
 0-59 
 
 May 1 
 
 0-33* 
 
 0-69863 
 
 0-778 
 
 0-718 
 
 0*70 
 
 0*738 
 
 071 
 
 2 
 
 o-334 
 
 1-69863 
 
 o-oio 
 
 I-7I8 
 
 1*70 
 
 0*854 
 
 0-82 
 
 3 
 
 Q'337 
 
 0-92949 
 
 1*010 
 
 0-949 
 
 0-93 
 
 0-085 
 
 O-O5 
 
 4 
 
 0-340 
 
 0-16035 
 
 0*242 
 
 O'lSo 
 
 0*16 
 
 0-201 
 
 0-17 
 
 5 
 
 0-342 
 
 1-16035 
 
 1*242 
 
 1-180 
 
 1*16 
 
 0*3I7 
 
 0-29 
 
 6 
 
 0-345 
 
 0-39122 
 
 0*474 
 
 0-411 
 
 0-40 
 
 0-433 
 
 O*4O 
 
 7 
 
 0-348 
 
 1-39122 
 
 1-474 
 
 1-411 
 
 1-40 
 
 0*548 
 
 0-52 
 
 8 
 
 0-351 
 
 0-62208 
 
 0*706 
 
 0-643 
 
 0-63 
 
 0-664 
 
 0*63 
 
 9 
 
 o-353 
 
 1-62208 
 
 1-706 
 
 1-643 
 
 1-63 
 
 0-780 
 
 075 
 
 10 
 
 0-356 
 
 0-85294 
 
 0*938 
 
 0-874 
 
 0-86 
 
 O'OI I 
 
 0-86 
 
 11 
 
 0*359 
 
 0-08380 
 
 0-170 
 
 0-105 
 
 0-09 
 
 O*I27 
 
 0-09 
 
 12 
 
 0-362 
 
 1-08380 
 
 1*170 
 
 1-105 
 
 1-09 
 
 0*243 
 
 O'2I 
 
 13 
 
 0-364 
 
 0-31466 
 
 0*402 
 
 0-336 
 
 0-32 
 
 0*358 
 
 0-33 
 
 14 
 
 0-367 
 
 1-31466 
 
 1-402 
 
 1-336 
 
 1-32 
 
 0-474 
 
 0*44 
 
 15 
 
 0-370 
 
 0-54553 
 
 0-634 
 
 0-567 
 
 0-55 
 
 0-590 
 
 0-56 
 
 16 
 
 o-373 
 
 ''54553 
 
 1*634 
 
 1-567 
 
 ''55 
 
 0-706 
 
 0-67 
 
 17 
 
 o-375 
 
 0-77639 
 
 0*866 
 
 0798 
 
 0-78 
 
 0-821 
 
 0-79 
 
 18 
 
 0-378 
 
 0-00725 
 
 0-098 
 
 0-029 
 
 O'OI 
 
 0-053 
 
 0-02 
 
 19 
 
 0-381 
 
 1-00725 
 
 1-098 
 
 1-029 
 
 roi 
 
 0-168 
 
 0-13 
 
 20 
 
 0-384 
 
 0-23811 
 
 0-330 
 
 0*261 
 
 0*24 
 
 0*284 
 
 0-25 
 
 21 
 
 0-386 
 
 1-23811 
 
 1-330 
 
 1*261 
 
 1-24 
 
 0-400 
 
 0-36 
 
 22 
 
 0-389 
 
 0-46898 
 
 0-562 
 
 0*492 
 
 0*47 
 
 0*516 
 
 0-48 
 
 23 
 
 0-392 
 
 1-46898 
 
 1-562 
 
 1*492 
 
 ''47 
 
 0-631 
 
 o 60 
 
 24 
 
 0-395 
 
 0*69984 
 
 0*794 
 
 0-723 
 
 0-70 
 
 0-747 
 
 0-71 
 
 25 
 
 o-397 
 
 i -69984 
 
 0*026 
 
 I-7Z3 
 
 1-70 
 
 0-863 
 
 0-83 
 
 26 
 
 0-400 
 
 0-93070 
 
 1*026 
 
 0-954 
 
 0-94 
 
 0-094 
 
 0-06 
 
 27 
 
 0-403 
 
 0-161 56 
 
 0*258 
 
 0*185 
 
 0*17 
 
 0-2IO 
 
 0-17 
 
 28 
 
 0-405 
 
 1-16156 
 
 1*258 
 
 1-185 
 
 1-17 
 
 0*326 
 
 0-29 
 
 29 
 
 0-408 
 
 0-39242 
 
 0-490 
 
 0*416 
 
 0*40 
 
 0*441 
 
 0-40 
 
 30 
 
 0-411 
 
 1*39242 
 
 1-490 
 
 1*416 
 
 1*40 
 
 0*557 
 
 0-52 
 
 31 
 
 0-414 
 
 0-62329 
 
 0-722 
 
 0*647 
 
 0-63 
 
 0*673 
 
 0*64 
 
 June 1 
 
 0-416 
 
 1*62329 
 
 1-722 
 
 1*647 
 
 1-63 
 
 0-789 
 
 0-75 
 
 2 
 
 0-419 
 
 0*85415 
 
 0-954 
 
 0-879 
 
 0-86 
 
 O'O2O 
 
 0-87 
 
 3 
 
 0*422 
 
 0*08501 
 
 0-186 
 
 O'lIO 
 
 0-09 
 
 0-136 
 
 o-io 
 
 4 
 
 0-425 
 
 1-08501 
 
 1-186 
 
 mo 
 
 1-09 
 
 O-25I 
 
 O'2I 
 
 5 
 
 0-427 
 
 0-31587 
 
 0*418 
 
 o'34' 
 
 0*32 
 
 0-367 
 
 0-33 
 
 6 
 
 0-430 
 
 i 31587 
 
 1*418 
 
 i-34i 
 
 1-32 
 
 0-483 
 
 0-44 
 
 7 
 
 o-433 
 
 0-54674 
 
 0-650 
 
 0-572 
 
 o'55 
 
 0-5 99 
 
 0-56 
 
 In Leap Year diminish the date in Columns i, 9, by i day after Feb. 28. 
 2 3 
 
SATELLITE I 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 X continued Motions of Mean Longitude and the Arguments for Days 
 
 I 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 Day 
 
 i 
 Mean Long. 
 
 A 
 
 B 
 
 c 
 
 D 
 
 E 
 
 F 1 
 
 June 8 
 
 3H749 80 
 
 d 
 0-35414 
 
 d 
 1*529 
 
 d 
 1-424 
 
 d 
 I-54I 
 
 d 
 I- 545 
 
 d 
 Ijg-OO 
 
 9 
 
 158-23879 
 
 I-354I4 
 
 0-179 
 
 0-654 
 
 0*772 
 
 0776 
 
 lOO'OO 
 
 10 
 
 172778 
 
 2-354H 
 
 I-I79 
 
 1-654 
 
 O-OO3 
 
 O-OO7 
 
 161-00 
 
 11 
 
 205-21677 
 
 3-354I4 
 
 2-179 
 
 0-883 
 
 I - O03 
 
 I-OO7 
 
 162-00 
 
 12 
 
 4870577 
 
 0-82868 
 
 0-829 
 
 0-II3 
 
 0-234 
 
 0-238 
 
 163-00 
 
 13 
 
 252-19476 
 
 1-82868 
 
 I'829 
 
 I-U 3 
 
 1-234 
 
 1-238 
 
 164-00 
 
 14 
 
 95-68375 
 
 2-82868 
 
 0-478 
 
 0-342 
 
 0*465 
 
 0-469 
 
 165-00 
 
 15 
 
 299-17274 
 
 0-30321 
 
 I-478 
 
 i"34 2 
 
 1-465 
 
 1-469 
 
 166-00 
 
 16 
 
 142-66174 
 
 1-303*1 
 
 0-128 
 
 0-572 
 
 0-695 
 
 0-700 
 
 167-00 
 
 17 
 
 346-15073 
 
 2-30321 
 
 1-128 
 
 1-572 
 
 1-695 
 
 I-7OO 
 
 168-00 
 
 18 
 
 189-63972 
 
 3-303*1 
 
 2-128 
 
 0-801 
 
 0-926 
 
 0-930 
 
 169-00 
 
 19 
 
 33-12871 
 
 0*77775 
 
 0778 
 
 0*031 
 
 0-157 
 
 0-161 
 
 170-00 
 
 20 
 
 236-61771 
 
 177775 
 
 1778 
 
 1-031 
 
 I-I57 
 
 1-161 
 
 171-00 
 
 21 
 
 80-10670 
 
 277775 
 
 0-427 
 
 0-260 
 
 0-388 
 
 0-392 
 
 172-00 
 
 22 
 
 283-59569 
 
 0-25229 
 
 1-427 
 
 1-260 
 
 1*388 
 
 1-392 
 
 173-00 
 
 23 
 
 127-08468 
 
 1*25229 
 
 0-077 
 
 0-490 
 
 0*619 
 
 0-623 
 
 174-00 
 
 24 
 
 330-57368 
 
 2-25229 
 
 1-077 
 
 1-490 
 
 1-619 
 
 1-623 
 
 175-00 
 
 25 
 
 174-06267 
 
 3-25229 
 
 2-077 
 
 0719 
 
 0-849 
 
 0-854 
 
 176-00 
 
 26 
 
 17-55166 
 
 072682 
 
 0727 
 
 1719 
 
 O'OSO 
 
 0-085 
 
 177-00 
 
 27 
 
 221*04065 
 
 172682 
 
 1727 
 
 0-949 
 
 1-080 
 
 1-085 
 
 178-00 
 
 28 
 
 64-52965 
 
 272682 
 
 0-377 
 
 0-178 
 
 0-311 
 
 0-315 
 
 179-00 
 
 29 
 
 268-01864 
 
 0-20136 
 
 1*377 
 
 1-178 
 
 1*311 
 
 1-315 
 
 180-00 
 
 SO 
 
 111-50763 
 
 1*20136 
 
 0-026 
 
 0*408 
 
 0-542 
 
 0-546 
 
 181-00 
 
 July 1 
 
 314-99662 
 
 2-20136 
 
 1-026 
 
 1*408 
 
 1-542 
 
 1*546 
 
 182-00 
 
 2 
 
 158-48562 
 
 3-20136 
 
 2*026 
 
 0*637 
 
 0773 
 
 0777 
 
 183-00 
 
 3 
 
 1-97461 
 
 0-67589 
 
 0-676 
 
 1-637 
 
 0-003 
 
 0-008 
 
 184-00 
 
 4 
 
 205-46360 
 
 1-67589 
 
 1-676 
 
 0-867 
 
 1-003 
 
 i -008 
 
 185-00 
 
 5 
 
 48-95259 
 
 2-67589 
 
 0*326 
 
 0-096 
 
 0-234 
 
 0-239 
 
 186-00 
 
 6 
 
 252-44159 
 
 0-15043 
 
 1*326 
 
 1-096 
 
 I-Z34 
 
 1*239 
 
 187-00 
 
 7 
 
 95-93058 
 
 1-15043 
 
 2-326 
 
 0-326 
 
 0-465 
 
 0*470 
 
 188-00 
 
 8 
 
 299-41957 
 
 2-15043 
 
 0-975 
 
 1-326 
 
 1-465 
 
 1-470 
 
 189-00 
 
 9 
 
 142-90856 
 
 3-I5043 
 
 1-975 
 
 o-555 
 
 0-696 
 
 0-701 190-00 
 
 1O 
 
 346-39756 
 
 0-62497 
 
 0-625 
 
 I- 555 
 
 1-696 
 
 1-701 191-00 
 
 11 
 
 189-88655 
 
 1-62497 
 
 1-625 
 
 0-785 
 
 0-927 
 
 0-931 192*00 
 
 12 
 
 33-37S54 
 
 2*62497 
 
 0*275 
 
 0-014 
 
 0-157 
 
 0*162 
 
 193-00 
 
 13 
 
 236-86453 
 
 0*09950 
 
 1-275 
 
 1-014 
 
 1-157 
 
 1*162 194*00 
 
 14 
 
 80-35352 
 
 1-09950 
 
 2-275 
 
 0-244 
 
 0*388 
 
 0-393 195*00 
 
 15 
 
 283*84252 
 
 2-09950 
 
 0-924 
 
 1-244 
 
 1*388 
 
 1*393 196-00 
 
 16 
 
 127-33151 
 
 3-09950 
 
 1-924 
 
 o-473 
 
 0-619 
 
 0*624 197*00 
 
 17 
 
 330-82050 
 
 0-57404 
 
 0-574 
 
 1-473 
 
 1-619 
 
 1-624 198-00 
 
 18 
 
 174-30949 
 
 1*57404 
 
 1-574 
 
 0703 
 
 0-850 
 
 0*855 199-00 
 
 19 
 
 1779849 
 
 2*57404 
 
 0-224 
 
 1*703 
 
 0-08 1 
 
 0-086 200-00 
 
 20 
 
 221-28748 
 
 0-04858 
 
 1-224 
 
 0-932 
 
 1-08 1 
 
 1*086 201*00 
 
 21 
 
 64-77647 
 
 1-04858 
 
 2*224 
 
 0-162 
 
 0311 
 
 0*316 202*00 
 
 22 
 
 268-26546 
 
 2-04858 
 
 0*873 
 
 1-162 
 
 1-311 
 
 1*316 
 
 203-00 
 
 23 
 
 11175446 
 
 3*04858 
 
 1-873 
 
 0*391 
 
 0-542 
 
 0-547 
 
 204-00 
 
 24 
 
 3I5-Z4345 
 
 0*52311 
 
 0*523 
 
 i-39i 
 
 1-542 
 
 1-547 205-00 
 
 25 
 
 >S 8 73 2 44 
 
 1*52311 
 
 i-5 2 3 
 
 0-621 
 
 o-773 
 
 0-778 206-00 
 
 26 
 
 2-22143 
 
 2*52311 
 
 0-173 
 
 1-621 
 
 0-004 
 
 0*009 
 
 207-00 
 
 27 
 
 20571043 
 
 3-52311 
 
 I-I73 
 
 0-851 
 
 1-004 
 
 1-009 
 
 208-00 
 
 28 
 
 49-19942 
 
 0-99765 
 
 2-173 
 
 0*080 
 
 0*235 
 
 0-240 
 
 209*00 
 
 29 
 
 252-68841 
 
 1*99765 
 
 0-822 
 
 i -080 
 
 1-235 
 
 1-240 
 
 210*00 
 
 In Leap Year diminish the date in Columns i, 9, by i day after Feb. 28. 
 
 24 
 
SATELLITE I 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 X continued Motions of Mean Longitude and the Arguments for Days 
 
 9 
 
 IO 
 
 I I 
 
 12 
 
 13 
 
 '4 
 
 '5 
 
 16 
 
 Day 
 
 J 
 
 K 
 
 L 
 
 M 
 
 N,0 
 
 P 
 
 Q 
 
 June 8 
 
 1 
 
 0-436 
 
 d 
 1-54674 
 
 d 
 1-650 
 
 d 
 I-572 
 
 d 
 
 d 
 0714 
 
 d 
 0-67 
 
 9 
 
 0-438 
 
 077760 
 
 0-882 
 
 0-803 
 
 0-78 
 
 0-830 
 
 0-79 
 
 10 
 
 0-441 
 
 0-00846 
 
 0-II4 
 
 0-034 
 
 O'OI 
 
 0-061 
 
 O'O2 
 
 11 
 
 0-444 
 
 1-00846 
 
 I-I 14 
 
 !"34 
 
 I-OI 
 
 0-177 
 
 0-14 
 
 12 
 
 0-447 
 
 0-23932 
 
 0-346 
 
 0-266 
 
 0-24 
 
 0-293 
 
 0-25 
 
 13 
 
 0-449 
 
 1-23932 
 
 i'34 6 
 
 1-266 
 
 1-24 
 
 0-409 
 
 0-37 
 
 14 
 
 0-452 
 
 0-47018 
 
 0-579 
 
 0-497 
 
 0-48 
 
 0-524 
 
 0-48 
 
 15 
 
 0-455 
 
 I-47OI8 
 
 1-579 
 
 1-497 
 
 1-48 
 
 0-640 
 
 O'6o 
 
 16 
 
 0-458 
 
 070105 
 
 0-8 ii 
 
 0-728 
 
 0-71 
 
 0756 
 
 071 
 
 17 
 
 0-460 
 
 I7OIO5 
 
 0-043 
 
 1728 
 
 1-71 
 
 0-872 
 
 0-83 
 
 18 
 
 0-463 
 
 0-93191 
 
 1-043 
 
 0-959 
 
 0-94 
 
 0-103 
 
 0-06 
 
 19 
 
 0-466 
 
 0-16277 
 
 0-275 
 
 0-190 
 
 0-17 
 
 0-219 
 
 0-18 
 
 20 
 
 0-468 
 
 1-16277 
 
 1-275 
 
 1-190 
 
 1*17 
 
 0-334 
 
 0-29 
 
 21 
 
 0-471 
 
 0-39363 
 
 0-507 
 
 0-421 
 
 0-40 
 
 0-450 
 
 0-41 
 
 22 
 
 0-474 
 
 1-39363 
 
 1-507 
 
 1-421 
 
 1-40 
 
 0-566 
 
 0-52 
 
 23 
 
 0-477 
 
 0-62450 
 
 0739 
 
 0-652 
 
 0*63 
 
 0-682 
 
 0-64 
 
 24 
 
 0-479 
 
 1-62450 
 
 739 
 
 1-652 
 
 1-63 
 
 0-797 
 
 75 
 
 25 
 
 0-482 
 
 0-85536 
 
 0-971 
 
 0-884 
 
 0-86 
 
 0-029 
 
 0-87 
 
 26 
 
 0-485 
 
 0-08622 
 
 0-203 
 
 o-i 15 
 
 0-09 
 
 0-144 
 
 o-io 
 
 27 
 
 0-488 
 
 I-O8622 
 
 1-203 
 
 1-115 
 
 1-09 
 
 0-260 
 
 O-22 
 
 28 
 
 0-490 
 
 0-31708 
 
 o-435 
 
 0-346 
 
 0-32 
 
 0-376 
 
 0-33 
 
 29 
 
 o-493 
 
 1-31708 
 
 ''435 
 
 1-346 
 
 1-32 
 
 0-492 
 
 0-45 
 
 30 
 
 0-496 
 
 0-54794 
 
 0-667 
 
 0-577 
 
 0-55 
 
 0-607 
 
 0-56 
 
 July 1 
 
 0-499 
 
 1-54794 
 
 1-667 
 
 1-577 
 
 1-55 
 
 0-723 
 
 0*68 
 
 2 
 
 0-501 
 
 0-77881 
 
 0-899 
 
 0-808 
 
 0-79 
 
 0-839 
 
 0-79 
 
 3 
 
 0-504 
 
 0-00967 
 
 0-131 
 
 0-039 
 
 O-O2 
 
 0-070 
 
 O'02 
 
 4 
 
 0-507 
 
 1-00967 
 
 1-131 
 
 1-039 
 
 I -O2 
 
 0-186 
 
 0-14 
 
 5 
 
 0-510 
 
 0-24053 
 
 0-363 
 
 0*270 
 
 0-25 
 
 0-302 
 
 O*26 
 
 6 
 
 0-512 
 
 1-24053 
 
 1-363 
 
 1-270 
 
 1-25 
 
 0-417 
 
 0*37 
 
 7 
 
 0-515 
 
 0-47139 
 
 0-595 
 
 0-502 
 
 0-48 
 
 0-533 
 
 0-49 
 
 8 
 
 0-518 
 
 I-47I39 
 
 i-595 
 
 1-502 
 
 1*48 
 
 0-649 
 
 0-60 
 
 9 
 
 0-521 
 
 0-70226 
 
 0-827 
 
 0733 
 
 071 
 
 0-765 
 
 0*72 
 
 1O 
 
 0-523 
 
 1-70226 
 
 0-059 
 
 1-733 
 
 1*71 
 
 0-880 
 
 0-83 
 
 11 
 
 0-526 
 
 0-93312 
 
 1-059 
 
 0-964 
 
 0-94 
 
 0-II2 
 
 o'o6 
 
 12 
 
 0-529 
 
 0-16398 
 
 0-291 
 
 0-195 
 
 0-17 
 
 O-227 
 
 0*18 
 
 13 
 
 0-532 
 
 1-16398 
 
 1-291 
 
 1-195 
 
 I-I7 
 
 0-343 
 
 0-29 
 
 14 
 
 0-534 
 
 0-39484 
 
 0-523 
 
 0*426 
 
 0-40 
 
 o-459 
 
 0-41 
 
 15 
 
 
 1-39484 
 
 '523 
 
 1-426 
 
 1-40 
 
 0-575 
 
 o-53 
 
 16 
 17 
 
 0-540 
 0-542 
 
 0-62570 
 1-62570 
 
 0755 
 1755 
 
 0-657 
 1-657 
 
 0-63 
 I-6 3 
 
 0-690 
 0-806 
 
 0-64 
 076 
 
 18 
 
 o-545 
 
 0-85657 
 
 0-987 
 
 0-888 
 
 0-86 
 
 0-038 
 
 0-87 
 
 19 
 
 0-548 
 
 0-08743 
 
 0-219 
 
 O'I2O 
 
 0-09 
 
 0-153 
 
 O'lO 
 
 20 
 
 0-551 
 
 1-08743 
 
 1-219 
 
 I-I20 
 
 1-09 
 
 0-269 
 
 O'22 
 
 21 
 
 0-553 
 
 0-31829 
 
 0-451 
 
 0-351 
 
 0-33 
 
 0-385 
 
 0-33 
 
 22 
 
 0-556 
 
 1-31829 
 
 1-451 
 
 I-35 1 
 
 1-33 
 
 0-500 
 
 0-45 
 
 23 
 
 o-559 
 
 0-54915 
 
 0-683 
 
 0-582 
 
 0-56 
 
 0-616 
 
 0-57 
 
 24 
 
 0-562 
 
 1 '549'5 
 
 1-683 
 
 1-582 
 
 1-56 
 
 0732 
 
 0-68 
 
 25 
 
 0-564 
 
 0-78002 
 
 0-915 
 
 0-813 
 
 079 
 
 0-848 
 
 0-80 
 
 26 
 
 0-567 
 
 0-01088 
 
 0-147 
 
 0-044 
 
 O'O2 
 
 0-079 
 
 0-03 
 
 27 
 
 0-570 
 
 1-01088 
 
 1-147 
 
 1-044 
 
 1*02 
 
 0-195 
 
 0-14 
 
 28 
 
 o-573 
 
 0-24174 
 
 o-379 
 
 0-275 
 
 0-25 
 
 0-310 
 
 0*26 
 
 29 
 
 0-575 
 
 1-24174 
 
 1-379 
 
 1-275 
 
 1-25 
 
 0-426 
 
 0-37 
 
 In Leap Year diminish the date in Columns i, 9, by i day after Feb. 28. 
 
SATELLITE I 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 X continued Motions of Mean Longitude and the Arguments for Days 
 
 I 
 
 z 
 
 3 
 
 4 
 
 5 
 
 ' ! 7 
 
 8 
 
 Day 
 
 Mean Long. 
 
 A 
 
 B 
 
 c 
 
 D 
 
 E 
 
 F-l 
 
 July 30 
 
 96-17740 
 
 d 
 2-99765 
 
 d 
 1-822 
 
 d 
 0-309 
 
 d 
 0-465 
 
 d 
 0*471 
 
 d 
 211-00 
 
 31 
 
 299-66640 
 
 0-47219 
 
 0-472 
 
 1-309 
 
 1-465 
 
 I-47I 
 
 212'OO 
 
 August 1 
 
 I43-I5539 
 
 I-472I9 
 
 I-472 
 
 0-539 
 
 0-696 
 
 0-702 
 
 2I3-OO 
 
 2 
 
 346-64438 
 
 2-47219 
 
 O-I22 
 
 1-539 
 
 1-696 
 
 1-702 
 
 214-00 
 
 3 
 
 I9"!3337 
 
 3-47219 
 
 1*122 
 
 0-768 
 
 0*927 
 
 0-932 
 
 2I5-OO 
 
 4 
 
 33-62237 
 
 0-94672 
 
 2-122 
 
 1-768 
 
 0-158 
 
 0-163 
 
 2l6-OO 
 
 5 
 
 237-11136 
 
 1-94672 
 
 0-772 
 
 0-998 
 
 IT58 
 
 1-163 
 
 217-00 
 
 6 
 
 80-60035 
 
 2-94672 
 
 1-772 
 
 0-227 
 
 0-389 
 
 0-394 
 
 218-00 
 
 7 
 
 284-08934 
 
 0-42126 
 
 O-42I 
 
 1*227 
 
 I-389 
 
 1-394 
 
 2I9-00 
 
 8 
 
 127-57834 
 
 1*42126 
 
 I-42I 
 
 0-457 
 
 0-619 
 
 0-625 
 
 22O"OO 
 
 9 
 
 33i-o6733 
 
 2-42126 
 
 O-O7I 
 
 i-457 
 
 1-619 
 
 1625 
 
 22POO 
 
 10 
 
 I74'55 6 3* 
 
 3-42126 
 
 I-07I 
 
 0-686 
 
 0-850 
 
 0-856 
 
 222*OO 
 
 11 
 
 18-04531 
 
 0-89580 
 
 2-071 
 
 1-686 
 
 0-081 
 
 0-087 
 
 223-OO 
 
 12 
 
 221-53431 
 
 1-89580 
 
 0-72I 
 
 0*915 
 
 i -081 
 
 1-087 
 
 224-00 
 
 13 
 
 65-02330 
 
 2-89580 
 
 I-72I 
 
 0-145 
 
 0-312 
 
 0-317 
 
 225'OO 
 
 14 
 
 268*51229 
 
 o'3733 
 
 0-370 
 
 1-145 
 
 1-312 
 
 1-3I7 
 
 226-OO 
 
 15 
 
 112-00128 
 
 I-37033 
 
 I-370 
 
 o-374 
 
 0< 543 
 
 0-548 
 
 227-OO 
 
 16 
 
 315-49028 
 
 2-37033 
 
 O'O2O 
 
 1-374 
 
 J-543 
 
 I-548 
 
 228'OQ 
 
 17 
 
 158-97927 
 
 3-37033 
 
 I-O2O 
 
 0-604 
 
 0773 
 
 0*779 
 
 229-00 
 
 18 
 
 2-46826 
 
 0-84487 
 
 2-O2O 
 
 1-604 
 
 0-004 
 
 O'OIO 
 
 23O-OO 
 
 19 
 
 205-95725 
 
 1-84487 
 
 0-670 
 
 0-833 
 
 1*004 
 
 I'OIO 
 
 23I-OO 
 
 20 
 
 49-44624 
 
 2-84487 
 
 1-670 
 
 0-063 
 
 0-23S 
 
 0-241 
 
 232*OO 
 
 21 
 
 252-93524 
 
 0-31941 
 
 0-319 
 
 1*063 
 
 i - 235 
 
 1-241 
 
 233-00 
 
 22 
 
 96-42423 
 
 1-31941 
 
 I'3'9 
 
 0-292 
 
 0-466 
 
 0-472 
 
 234*00 
 
 23 
 
 *99- 9 i322 
 
 2-31941 
 
 Z-3I9 
 
 1*292 
 
 1-466 
 
 1-472 
 
 235-00 
 
 24 
 
 143-40221 
 
 3-3I941 
 
 0-969 
 
 0-522 
 
 0-697 
 
 0-703 
 
 236-00 
 
 25 
 
 346-89121 
 
 0-79394 
 
 1-969 
 
 1-522 
 
 1-697 
 
 1-703 
 
 237*00 
 
 26 
 
 190-38020 
 
 179394 
 
 0-619 
 
 0751 
 
 0-927 
 
 0-933 
 
 238-00 
 
 27 
 
 33-86919 
 
 z-79394 
 
 1-619 
 
 1751 
 
 0-158 
 
 0-164 
 
 239-00 
 
 28 
 
 237-35818 
 
 0-26848 
 
 0-268 
 
 0-981 
 
 1-158 
 
 1-164 
 
 24O-OO 
 
 29 
 
 80-84718 
 
 1-26848 
 
 I-268 
 
 O'2IO 
 
 0-389 
 
 "395 
 
 24I-OO 
 
 SO 
 
 284-33617 
 
 2-26848 
 
 2-268 
 
 I-2IO 
 
 1-389 
 
 1-395 
 
 242'OO 
 
 31 
 
 127-82516 
 
 3-26848 
 
 0-918 
 
 0-440 
 
 0-620 
 
 0-626 
 
 243-00 
 
 September 1 
 
 33i'3i4'5 
 
 0-74301 
 
 1-918 
 
 I-440 
 
 1-620 
 
 1-626 
 
 244-00 
 
 2 
 
 174-80315 
 
 174301 
 
 0-568 
 
 0-669 
 
 0-851 
 
 0-857 
 
 245-00 
 
 3 
 
 18*29214 
 
 274301 
 
 I-568 
 
 1-669 
 
 0-081 
 
 0-088 
 
 246-00 
 
 4 
 
 221-781 13 
 
 0-21755 
 
 0-218 
 
 0-899 
 
 i -08 1 
 
 i -088 
 
 247-00 
 
 5 
 
 65-27012 
 
 1-21755 
 
 1-218 
 
 0-128 
 
 0-312 
 
 0-318 
 
 248-00 
 
 6 
 
 268-75912 
 
 2-21755 
 
 2-218 
 
 1-128 
 
 1-312 
 
 1-318 
 
 249-00 
 
 7 
 
 112-24811 
 
 3-21755 
 
 0-867 
 
 0*358 
 
 '543 
 
 0-549 
 
 250*OO 
 
 8 
 
 315-73710 
 
 0-69209 
 
 I-867 
 
 '358 
 
 1-543 
 
 1-549 
 
 25I-OO 
 
 9 
 
 159-22609 
 
 1-69209 
 
 0-5I7 
 
 0- 5 87 
 
 0*774 
 
 0-780 
 
 252-00 
 
 1O 
 
 2-71509 
 
 2-69209 
 
 I-5I7 
 
 l-58 7 
 
 0-005 
 
 O'OI I 
 
 253-00 
 
 11 
 
 206-20408 
 
 0-16662 
 
 0-167 
 
 0-8I7 
 
 1-005 
 
 roil 
 
 254-00 
 
 12 
 
 49-69307 
 
 1-16662 
 
 I-I67 
 
 0-046 
 
 0-236 
 
 0-242 
 
 255-00 
 
 13 
 
 253-18206 
 
 2-16662 
 
 2-167 
 
 1-046 
 
 1-236 
 
 1-242 
 
 256-00 
 
 14 
 
 96 67106 
 
 3-16662 
 
 0-8 1 6 
 
 0-276 
 
 0*466 
 
 0-473 
 
 257-OO 
 
 15 
 
 300-16005 
 
 0-641 1 6 
 
 1-816 
 
 1-276 
 
 1-466 
 
 1-473 
 
 258*00 
 
 16 
 
 143-64904 
 
 1-641 16 
 
 0*466 
 
 0-505 
 
 0-697 
 
 0-704 
 
 259*00 
 
 17 
 
 347-I3803 
 
 2-641 16 
 
 1-466 
 
 I-505 
 
 1-697 
 
 1-704 
 
 260-OO 
 
 18 
 
 190-62703 
 
 0-11570 
 
 o - i 16 
 
 0735 
 
 0-928 
 
 o-934 
 
 26l-OO 
 
 19 
 
 34-11602 
 
 1-11570 
 
 i-i 16 
 
 1-735 
 
 0-159 
 
 0-165 
 
 262-OO 
 
 In Leap Year diminish the date in Columns i, 9, by i day after Feb. 28. 
 26 
 
SATELLITE I 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 X continued Motions of Mean Longitude and the Arguments for Days 
 
 9 
 
 10 
 
 1 1 
 
 ii 
 
 '3 
 
 '4 
 
 '5 
 
 16 
 
 Day 
 
 J 
 
 K 
 
 L 
 
 M 
 
 N, O 
 
 P 
 
 Q 
 
 
 y 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 July 3O 
 
 0-578 
 
 0-47260 
 
 0-6l 1 
 
 0-506 
 
 0-48 
 
 0-542 
 
 0-49 
 
 31 
 
 0-581 
 
 1-47260 
 
 1-61 1 
 
 1-506 
 
 1-48 
 
 0-658 
 
 0-60 
 
 August 1 
 
 0-584 
 
 0-70346 
 
 0-843 
 
 0738 
 
 0-7I 
 
 0773 
 
 0-7* 
 
 2 
 
 0-586 
 
 170346 
 
 0-075 
 
 '738 
 
 1-71 
 
 O-OO5 
 
 0-84 
 
 3 
 
 0-589 
 
 0-93433 
 
 1-075 
 
 0-969 
 
 0-94 
 
 O'I2I 
 
 0-07 
 
 4 
 
 0-592 
 
 0-16519 
 
 0-307 
 
 0-200 
 
 0-I 7 
 
 0-236 
 
 0-18 
 
 5 
 
 0-595 
 
 1-16519 
 
 1-307 
 
 1-200 
 
 I-I 7 
 
 0-352 
 
 0-30 
 
 6 
 
 0-597 
 
 0-39605 
 
 0-539 
 
 0-431 
 
 O'4O 
 
 0-468 
 
 0-41 
 
 7 
 
 0-600 
 
 1-39605 
 
 1-539 
 
 ' '43' 
 
 I- 4 
 
 0'583 
 
 '53 
 
 8 
 
 0-603 
 
 0-62691 
 
 0-771 
 
 o-66z 
 
 0-63 
 
 0*699 
 
 0-64 
 
 9 
 
 0-605 
 
 1-62691 
 
 0-003 
 
 1-662 
 
 I-6 3 
 
 0*815 
 
 0-76 
 
 1O 
 
 0-608 
 
 0-85777 
 
 1-003 
 
 0-893 
 
 0-87 
 
 0*046 
 
 o-oo 
 
 11 
 
 0-6 1 1 
 
 0-08864 
 
 0-235 
 
 0-124 
 
 O'lO 
 
 0-162 
 
 o-ii 
 
 12 
 
 0-614 
 
 1-08864 
 
 1-235 
 
 1-124 
 
 no 
 
 0-278 
 
 0-22 
 
 13 
 
 0-616 
 
 0-31950 
 
 0-467 
 
 0-356 
 
 0-33 
 
 0-393 
 
 o-34 
 
 14 
 
 0-619 
 
 1-31950 
 
 1-467 
 
 1-356 
 
 i'33 
 
 0-509 
 
 0-45 
 
 15 
 
 0-622 
 
 0-55036 
 
 0-699 
 
 0-587 
 
 0-56 
 
 0-625 
 
 0-57 
 
 16 
 
 0-625 
 
 1-55036 
 
 1-699 
 
 1-587 
 
 1-56 
 
 0741 
 
 0-68 
 
 17 
 
 0-627 
 
 0-78122 
 
 0-931 
 
 0-818 
 
 079 
 
 0-856 
 
 0*80 
 
 18 
 
 0-630 
 
 0*01209 
 
 0-164 
 
 0-049 
 
 O"O2 
 
 0-088 
 
 0-03 
 
 19 
 
 0-633 
 
 1-01209 
 
 1-164 
 
 1-049 
 
 1*02 
 
 0-204 
 
 0-15 
 
 20 
 
 0-636 
 
 0-24295 
 
 0-396 
 
 0-280 
 
 0-25 
 
 0*319 
 
 0-26 
 
 21 
 
 0-638 
 
 1-24295 
 
 1-396 
 
 1-280 
 
 I-2 5 
 
 '435 
 
 0-38 
 
 22 
 
 0-641 
 
 0-47381 
 
 0-628 
 
 0-51 1 
 
 0-48 
 
 0*551 
 
 0-49 
 
 23 
 
 0-644 
 
 i'4738i 
 
 1-628 
 
 1-511 
 
 I- 4 8 
 
 0*666 
 
 0*6 1 
 
 24 
 
 0-647 
 
 0-70467 
 
 0-860 
 
 0743 
 
 0* 7 I 
 
 0-782 
 
 0-72 
 
 25 
 
 0-649 
 
 170467 
 
 0-092 
 
 '743 
 
 171 
 
 0*014 
 
 0-84 
 
 26 
 
 0-652 
 
 '93553 
 
 1-092 
 
 0-974 
 
 0-94 OM29 
 
 0-07 
 
 27 
 
 0-655 
 
 0-16640 
 
 0-324 
 
 0-205 
 
 0-17 
 
 0*245 
 
 0-19 
 
 28 
 
 0-658 
 
 1-16640 
 
 1-324 
 
 1-205 
 
 I-I7 
 
 0-361 
 
 0-30 
 
 29 
 
 0-660 
 
 0-39726 
 
 0-556 
 
 0-436 
 
 0-41 
 
 0*476 
 
 0-42 
 
 30 
 
 0-663 
 
 1-39726 
 
 1-556 
 
 1-436 
 
 I-4I 
 
 0*592 
 
 0'53 
 
 31 
 
 0-666 
 
 0-62812 
 
 0-788 
 
 0-667 
 
 0-64 
 
 0-708 
 
 0-65 
 
 September 1 
 
 0-668 
 
 1-62812 
 
 0-02O 
 
 1-667 
 
 1-64 
 
 0-824 
 
 0-76 
 
 2 
 
 0-671 
 
 0-85898 
 
 1-020 
 
 0-898 
 
 0-87 
 
 0*055 
 
 o-oo 
 
 3 
 
 0-674 
 
 0-08985 
 
 0-252 
 
 0-129 
 
 O'lO 
 
 0-171 
 
 O-II 
 
 4 
 
 0-677 
 
 1-08985 
 
 I-252 
 
 1-129 
 
 no 
 
 0-287 
 
 0-23 
 
 5 
 
 0-679 
 
 0-32071 
 
 0*484 
 
 0-361 
 
 0-33 
 
 0-402 
 
 0-34 
 
 6 
 
 0-682 
 
 1-32071 
 
 1-484 
 
 1-361 
 
 ''33 
 
 0-518 
 
 0-46 
 
 7 
 
 0-685 
 
 0-55I57 
 
 0-716 
 
 0-592 
 
 0-56 
 
 0-634 
 
 0-57 
 
 8 
 
 0-688 
 
 i'55'57 
 
 I-7l6 
 
 1-592 
 
 1-56 
 
 0-749 
 
 0-69 
 
 9 
 
 0-690 
 
 0-78243 
 
 0-948 
 
 0-823 
 
 079 
 
 0-865 
 
 0-80 
 
 10 
 
 0-693 
 
 0-01329 
 
 0-180 
 
 0-054 
 
 O'O2 
 
 0-097 
 
 0*03 
 
 11 
 
 0-696 
 
 1-01329 
 
 1-180 
 
 1-054 
 
 I '02 
 
 0'2I2 
 
 0*15 
 
 12 
 
 0-699 
 
 0-24416 
 
 0-412 
 
 0-285 
 
 0-25 
 
 0-328 
 
 0-26 
 
 
 
 
 
 
 
 
 13 
 
 0-701 
 
 1-24416 
 
 1-412 
 
 1-285 
 
 1-25 
 
 0-444 
 
 0*38 
 
 14 
 
 0-704 
 
 0-47502 
 
 0*644 
 
 0-516 
 
 0-48 
 
 0*559 
 
 0-50 
 
 15 
 
 0-707 
 
 1-47502 
 
 1-644 
 
 1-516 
 
 1-48 
 
 0-675 
 
 0*61 
 
 16 
 
 0-710 
 
 0-70588 
 
 0-876 
 
 0-747 
 
 0*71 
 
 0-791 
 
 0-73 
 
 17 
 
 0-712 
 
 170588 
 
 0-108 
 
 '747 
 
 171 
 
 O'O22 
 
 0-84 
 
 18 
 
 0715 
 
 0-93674 
 
 1-108 
 
 0-979 
 
 0-95 
 
 0*138 
 
 0*07 
 
 19 
 
 0-718 
 
 0-16761 0-340 
 
 O'ZIO 
 
 0-18 
 
 0*254 
 
 0-19 
 
 In Leap Year diminish the date in Columns i, 9, by i day after Feb. 28. 
 
SATELLITE I 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 X continued Motions of Mean Longitude and the Arguments for Days 
 
 I 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 8 
 
 Day 
 
 Mean Long. 
 
 A 
 
 B 
 
 c 
 
 D 
 
 E 
 
 F-l 
 
 September2O 
 
 
 
 237-60501 
 
 d 
 2-II57O 
 
 d 
 
 2-116 
 
 d 
 0-964 
 
 d 
 1*159 
 
 d 
 1-165 
 
 d 
 263-00 
 
 21 
 
 81-09400 
 
 3-II570 
 
 0-765 
 
 0-194 
 
 0-390 
 
 0-396 
 
 264-00 
 
 22 
 
 284-58300 
 
 0-59023 
 
 1-765 
 
 1-I 9 4 
 
 1-390 
 
 1-396 
 
 265-00 
 
 23 
 
 128-07199 
 
 I-59023 
 
 0-415 
 
 0*423 
 
 0*620 
 
 0-627 
 
 266-OO 
 
 24 
 
 331-56098 
 
 2-59023 
 
 1-415 
 
 '423 
 
 I-620 
 
 1-627 
 
 267-00 
 
 25 
 
 175-04997 
 
 0-06477 
 
 0-065 
 
 0-653 
 
 0-851 
 
 0-858 
 
 268-00 
 
 26 
 
 18-53897 
 
 1-06477 
 
 1-065 
 
 1*653 
 
 O-O82 
 
 0-089 
 
 269-00 
 
 27 
 
 222-02796 
 
 2-06477 
 
 2-065 
 
 0-882 
 
 1-082 
 
 1-089 
 
 27O-OO 
 
 28 
 
 65-51695 
 
 3-06477 
 
 0-714 
 
 O*I 12 
 
 0-3I3 
 
 0-319 
 
 271*00 
 
 29 
 
 269*00594 
 
 0-53931 
 
 1-714 
 
 1*112 
 
 I-313 
 
 i'3'9 
 
 272*OO 
 
 30 
 
 112-49493 
 
 1 - 5393I 
 
 0-364 
 
 0*3 4 1 
 
 0-544 
 
 0-550 
 
 273-00 
 
 October 1 
 
 315-98393 
 
 2-5393I 
 
 1-364 
 
 I'34 
 
 1-544 
 
 1-550 
 
 274*00 
 
 2 
 
 159-4729* 
 
 0-01384 
 
 0-014 
 
 0-57I 
 
 0774 
 
 0-781 
 
 275-00 
 
 3 
 
 2-96191 
 
 1-01384 
 
 1-014 
 
 1*571 
 
 0-005 
 
 O-OI2 
 
 276*OO 
 
 4 
 
 206-45090 
 
 2-01384 
 
 2-014 
 
 O*8OO 
 
 1-005 
 
 I-OI2 
 
 277-00 
 
 5 
 
 49-93990 
 
 3-01384 
 
 0-664 
 
 O-O3O 
 
 0-236 
 
 0-243 
 
 278*00 
 
 6 
 
 253-42889 
 
 0-48838 
 
 1-664 
 
 I*03O 
 
 1-236 
 
 I%2 43 
 
 279-00 
 
 7 
 
 96-91788 
 
 1-48838 
 
 0-313 
 
 0-259 
 
 0-467 
 
 0-474 
 
 28O-OO 
 
 8 
 
 300-40687 
 
 2-48838 
 
 '-313 
 
 1-259 
 
 1-467 
 
 1-474 
 
 Z8l*00 
 
 9 
 
 143-89587 
 
 3-48838 
 
 2-313 
 
 0-489 
 
 0*698 
 
 0-705 
 
 282*OO 
 
 1O 
 
 347-38486 
 
 0-96291 
 
 0-963 
 
 1-489 
 
 1-698 
 
 1705 
 
 283-00 
 
 11 
 
 190-87385 
 
 1-96291 
 
 1-963 
 
 0718 
 
 0-928 
 
 0-935 
 
 284-00 
 
 12 
 
 34-36284 
 
 2-96291 
 
 0-613 
 
 I*7l8 
 
 0-I5 9 
 
 0-166 
 
 285-00 
 
 13 
 
 237-85184 
 
 0-43745 
 
 1-6,3 
 
 0*948 
 
 I-I59 
 
 1-166 
 
 286-OO 
 
 14 
 
 81-34083 
 
 1-43745 
 
 0-262 
 
 0-177 
 
 0-390 
 
 0*397 
 
 287-00 
 
 15 
 
 284-82982 
 
 2-43745 
 
 1-262 
 
 1-177 
 
 1-390 
 
 i-397 
 
 288-00 
 
 16 
 
 128-31881 
 
 3'43745 
 
 2-262 
 
 0-407 
 
 O-62I 
 
 0-628 
 
 289-00 
 
 17 
 
 331-80781 
 
 0-91199 
 
 0-912 
 
 1*407 
 
 I-62I 
 
 1-628 
 
 290-00 
 
 18 
 
 175-29680 
 
 1-91199 
 
 1-912 
 
 0*636 
 
 0-852 
 
 0-859 
 
 29I-OO 
 
 19 
 
 18-78579 
 
 2-91199 
 
 0-562 
 
 1-636 
 
 0-082 
 
 0*090 
 
 292-00 
 
 20 
 
 222-27478 
 
 0-38652 
 
 1-562 
 
 0*866 
 
 1-082 
 
 1-090 
 
 293-OO 
 
 21 
 
 65-76378 
 
 1-38652 
 
 0-211 
 
 0*095 
 
 0-313 
 
 0-320 
 
 294-00 
 
 22 
 
 269-25277 
 
 2-38652 
 
 1*211 
 
 1-095 
 
 1*3I3 
 
 1-320 
 
 295-00 
 
 23 
 
 11274176 
 
 3-38652 
 
 2'2I I 
 
 0-324 
 
 0-544 
 
 0*551 
 
 296-00 
 
 24 
 
 316-23075 
 
 0-86106 
 
 0-861 
 
 1-324 
 
 ''544 
 
 1-551 
 
 297-00 
 
 25 
 
 159-71975 
 
 i -86 1 06 
 
 1-861 
 
 o*554 
 
 0*775 
 
 0-782 
 
 298-00 
 
 26 
 
 3-20874 
 
 2-86106 
 
 0-51 1 
 
 '"554 
 
 0*006 
 
 0-013 
 
 299-00 
 
 27 
 
 206-69773 
 
 0-33560 
 
 1-511 
 
 0-783 
 
 i -006 
 
 1*013 
 
 3OO-OO 
 
 28 
 
 50-18672 
 
 1-33560 
 
 0-160 
 
 0-013 
 
 0-236 
 
 0-244 
 
 3OPOO 
 
 29 
 
 253-67572 
 
 2-33560 
 
 1-160 
 
 1-013 
 
 1*236 
 
 1-244 
 
 3O2-00 
 
 3O 
 
 97-16471 
 
 3-3356o 
 
 2-160 
 
 0-242 
 
 0-467 
 
 0-475 
 
 303-00 
 
 31 
 
 300-65370 
 
 0-81013 
 
 0*810 
 
 1*242 
 
 1-467 
 
 1-475 
 
 3O4-OO 
 
 November 1 
 
 144-14269 
 
 1-81013 
 
 1-810 
 
 0-472 
 
 0-698 
 
 0-706 
 
 3O5-OO 
 
 2 
 
 347-63169 
 
 2-81013 
 
 0-460 
 
 1*472 
 
 1-698 
 
 1-706 
 
 3O6-OO 
 
 3 
 
 191-12068 
 
 0-28467 
 
 1-460 
 
 0-701 
 
 0-929 
 
 0-936 
 
 307-00 
 
 4 
 
 34-60967 
 
 1-28467 
 
 OIIO 
 
 1-701 
 
 0-160 
 
 0-167 
 
 3O8-OO 
 
 5 
 
 238-09866 
 
 2-28467 
 
 mo 
 
 0-931 
 
 1-160 
 
 1-167 
 
 309-00 
 
 6 
 
 81-58765 
 
 3-28467 
 
 2-1 IO 
 
 0-160 
 
 0-390 
 
 0-398 
 
 3IO-OO 
 
 7 
 
 285-07665 
 
 075921 
 
 0*759 
 
 1-160 
 
 1*390 
 
 1-398 
 
 3I1-OO 
 
 8 
 
 128-56564 
 
 1-75921 
 
 1*759 
 
 0-390 
 
 0-621 
 
 0-629 
 
 3I2-OO 
 
 9 
 
 332-05463 
 
 275921 
 
 0-409 
 
 1-390 
 
 1*621 
 
 1-629 
 
 3I3-00 
 
 1O 
 
 '75-54362 
 
 0-23374 
 
 1-409 0-619 
 
 0-852 
 
 0-860 
 
 314-OO 
 
 In Leap Year dimmish the date in Columns i, 9, by i day after Feb. 28. 
 28 
 
SATELLITE I 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 X continued Motions of Mean Longitude and the Arguments for Days 
 
 9 
 
 10 
 
 it 
 
 12 
 
 13 
 
 "4 
 
 '5 
 
 16 
 
 Day 
 
 J 
 
 K 
 
 L 
 
 M 
 
 N, 
 
 P 
 
 Q 
 
 September 2O 
 
 y 
 0721 
 
 d 
 1-16761 
 
 d 
 ''34 
 
 d 
 I-21O 
 
 d 
 1-18 
 
 d 
 
 0-370 
 
 d 
 0-30 
 
 21 
 
 0723 
 
 0-39847 
 
 0-572 
 
 0-441 
 
 0-4I 
 
 0-485 
 
 0-42 
 
 22 
 
 0726 
 
 1-39847 
 
 I-572 
 
 I-44I 
 
 I-4I 
 
 0-601 
 
 0-54 
 
 23 
 
 0729 
 
 0-62933 
 
 0-804 
 
 0-67* 
 
 0-64 
 
 0717 
 
 0-65 
 
 24 
 
 0732 
 
 1-62933 
 
 0-036 
 
 1-67* 
 
 1-64 
 
 0-832 
 
 0-77 
 
 25 
 
 0734 
 
 0-86019 
 
 1-036 
 
 0-903 
 
 0-87 
 
 0-064 
 
 o-oo 
 
 26 
 
 737 
 
 0-09105 
 
 0-268 
 
 i>'S4 
 
 o-io 
 
 0-180 
 
 O'll 
 
 27 
 
 0740 
 
 1-09105 
 
 I-268 
 
 'i34 
 
 1-10 
 
 0-295 
 
 0-23 
 
 28 
 
 0742 
 
 0*32192 
 
 0-500 
 
 0-365 
 
 o-33 
 
 0-411 
 
 0-34 
 
 29 
 
 74S 
 
 I-32I 9 2 
 
 I-5OO 
 
 i'365 
 
 i'33 
 
 0-527 
 
 0-46 
 
 30 
 
 0748 
 
 0-55278 
 
 0732 
 
 0-597 
 
 0-56 
 
 0-642 
 
 0-57 
 
 October 1 
 
 0751 
 
 I-552 7 8 
 
 1-73* 
 
 1-597 
 
 1-56 
 
 0758 
 
 0-69 
 
 2 
 
 0753 
 
 0-78364 
 
 0-964 
 
 0-828 
 
 o-79 
 
 0-874 
 
 0-81 
 
 3 
 
 0756 
 
 0-01450 
 
 0-196 
 
 0-059 
 
 O-O2 
 
 0-105 
 
 0-04 
 
 4 
 
 0759 
 
 1-01450 
 
 1-196 
 
 1-059 
 
 I -O2 
 
 O"22I 
 
 0-15 
 
 5 
 
 0-762 
 
 '24537 
 
 0-428 
 
 0-290 
 
 0-25 
 
 '337 
 
 0-27 
 
 6 
 
 0764 
 
 i'H537 
 
 1-428 
 
 1-290 
 
 1-25 
 
 0*453 
 
 0-38 
 
 7 
 
 0-767 
 
 0-47623 
 
 o - 66o 
 
 0-521 
 
 0-49 
 
 0-568 
 
 0-50 
 
 8 
 
 0770 
 
 1-47623 
 
 i -660 
 
 1-521 
 
 1-49 
 
 0-684 
 
 0-61 
 
 9 
 
 773 
 
 0-70709 
 
 0-892 
 
 0752 
 
 072 
 
 0-800 
 
 073 
 
 1O 
 
 0775 
 
 1-70709 
 
 0-124 
 
 1752 
 
 172 
 
 0-031 
 
 0-85 
 
 11 
 
 0778 
 
 0-93795 
 
 1-124 
 
 0-983 
 
 o-95 
 
 0-147 
 
 0-08 
 
 12 
 
 0781 
 
 0-16881 
 
 0-356 
 
 0-215 
 
 0-18 
 
 0-263 
 
 0-19 
 
 13 
 
 0784 
 
 1-16881 
 
 1-356 
 
 1-215 
 
 1-18 
 
 0-378 
 
 0-31 
 
 14 
 
 0786 
 
 0-39968 
 
 0-588 
 
 0-446 
 
 0-41 
 
 0-494 
 
 0-42 
 
 15 
 
 0789 
 
 1-39968 
 
 1-588 
 
 1-446 
 
 1-41 
 
 0-610 
 
 0-54 
 
 16 
 
 0792 
 
 0-63054 
 
 0-820 
 
 0-677 
 
 0-64 
 
 0-726 
 
 0-65 
 
 17 
 
 0795 
 
 1-63054 
 
 0-052 
 
 1-677 
 
 1-64 
 
 0-841 
 
 o-77 
 
 18 
 
 0-797 
 
 0-86140 
 
 1-052 
 
 0-908 
 
 0-87 
 
 0-073 
 
 o-oo 
 
 19 
 
 0-800 
 
 0-09226 
 
 0-284 
 
 0-139 
 
 O'lO 
 
 0-188 
 
 O'I2 
 
 20 
 
 0-803 
 
 1-09226 
 
 1-284 
 
 i-i39 
 
 l-IO 
 
 0-304 
 
 0-23 
 
 21 
 
 0-805 
 
 0-32313 
 
 0-516 
 
 0-370 
 
 0-33 
 
 0-420 
 
 0-35 
 
 22 
 
 0-808 
 
 1-32313 
 
 1-516 
 
 1-370 
 
 1-33 
 
 0-536 
 
 0-46 
 
 23 
 
 0-811 
 
 0-55399 
 
 0-749 
 
 0-602 
 
 0-56 
 
 0-651 
 
 0-58 
 
 24 
 
 0-814 
 
 1-55399 
 
 '749 
 
 1-602 
 
 1-56 
 
 0767 
 
 0-69 
 
 25 
 
 0-816 
 
 078485 
 
 0-981 
 
 0-833 
 
 0-80 
 
 0-883 
 
 0-8 1 
 
 26 
 
 0-819 
 
 0-01571 
 
 0-213 
 
 0*064 
 
 0-03 
 
 o'l 14 
 
 0-04 
 
 27 
 
 0-822 
 
 1-01571 
 
 1-213 
 
 1-064 
 
 1-03 
 
 0-230 
 
 0-16 
 
 28 
 
 0-825 
 
 0-24657 
 
 0-445 
 
 0-295 
 
 0-26 
 
 0-346 
 
 0-27 
 
 29 
 
 0-827 
 
 1-24657 
 
 I- 445 
 
 1-295 
 
 1-26 
 
 0-461 
 
 0-39 
 
 30 
 
 0-830 
 
 0-47744 
 
 0-677 
 
 0-526 
 
 0-49 
 
 0-577 
 
 0-50 
 
 31 
 
 0-833 
 
 I- 47744 
 
 1-677 
 
 1-526 
 
 1-49 
 
 0-693 
 
 0-62 
 
 November 1 
 
 0-836 
 
 0-70830 
 
 0-909 
 
 0757 
 
 0-72 
 
 0-809 
 
 o-73 
 
 2 
 
 0-838 
 
 1-70830 
 
 0-141 
 
 '757 
 
 172 
 
 0-040 
 
 0-85 
 
 3 
 
 0-841 
 
 0-93916 
 
 1-141 
 
 0-988 
 
 0-95 
 
 0-156 
 
 0-08 
 
 4 
 
 0-844 
 
 0-17002 
 
 0-373 
 
 O-22O 
 
 0-18 
 
 0-271 
 
 0-19 
 
 5 
 
 0-847 
 
 1-17002 
 
 1-373 
 
 I'22O 
 
 ril 
 
 0-387 
 
 0-31 
 
 6 
 
 0-849 
 
 0-40088 
 
 0-605 
 
 0-451 
 
 0-41 
 
 0-503 
 
 o-43 
 
 7 
 
 0-852 
 
 1-40088 
 
 1-605 
 
 I-45I 
 
 1-41 
 
 0-619 
 
 0-54 
 
 8 
 
 0-855 
 
 0-63175 
 
 0-837 
 
 0-682 
 
 0-64 
 
 0734 
 
 0-66 
 
 9 
 
 0-858 
 
 1-63175 
 
 0-069 
 
 1-682 
 
 1-64 
 
 0-850 0-77 
 
 10 
 
 0-860 
 
 0-86261 
 
 1-069 
 
 0-913 
 
 0-87 
 
 0-081 o-oo 
 
 In Leap Year diminish the date in Columns i, 9, by i clay after Feb. 28. 
 
SATELLITE I 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 X continued Motions of Mean Longitude and the Arguments for Days 
 
 I 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 Day 
 
 Mean Long. 
 
 A 
 
 B 
 
 c 
 
 D 
 
 E 
 
 F-l 
 
 November 11 
 
 o 
 
 19-03262 
 
 d 
 1-23374 
 
 d 
 0-059 
 
 d 
 1-619 
 
 d 
 0-083 
 
 d 
 O'ogi 
 
 d 
 3I5-00 
 
 12 
 
 222-52161 
 
 2-23374 
 
 1-059 
 
 0-849 
 
 I-083 
 
 1-091 
 
 3l6-OO 
 
 13 
 
 66-01060 
 
 3-23374 
 
 2-059 
 
 0-078 
 
 0-314 
 
 0-321 
 
 3I7-00 
 
 14 
 
 169-49959 
 
 070828 
 
 0-708 
 
 1-078 
 
 I'3H 
 
 I-32I 
 
 3I8-OO 
 
 15 
 
 112-98859 
 
 1-70828 
 
 1-708 
 
 0-308 
 
 0-544 
 
 0-552 
 
 3I9-OO 
 
 16 
 
 316-47758 
 
 270828 
 
 0-358 
 
 1-308 
 
 ''544 
 
 1-552 
 
 32O-OO 
 
 17 
 
 159-96657 
 
 0-18282 
 
 I-358 
 
 0-537 
 
 0-775 
 
 0-782 
 
 32I-OO 
 
 18 
 
 3-45556 
 
 I-I8282 
 
 0-OO8 
 
 1-537 
 
 0-006 
 
 0-014 
 
 322-OO 
 
 19 
 
 206-94456 
 
 2-I8282 
 
 I 'OO8 
 
 0-767 
 
 i -006 
 
 1-014 
 
 323-00 
 
 20 
 
 50-43355 
 
 3-I8282 
 
 2'OOS 
 
 1-767 
 
 0-237 
 
 0-245 
 
 324-00 
 
 21 
 
 253-92254 
 
 0-65735 
 
 0-657 
 
 0-996 
 
 1-237 
 
 1-245 
 
 325-00 
 
 22 
 
 97-4 1 1 53 
 
 '65735 
 
 I-657 
 
 0-226 
 
 0-468 
 
 0-476 
 
 326-OO 
 
 23 
 
 300-90053 
 
 2-65735 
 
 0-307 
 
 1*226 
 
 1-468 
 
 1-476 
 
 327-00 
 
 24 
 
 144-38952 
 
 0-13189 
 
 I-307 
 
 o-455 
 
 0-698 
 
 0-707 
 
 328-OO 
 
 25 
 
 347-87851 
 
 1-13189 
 
 2-307 
 
 J'455 
 
 1-698 
 
 1--07 
 
 329-00 
 
 26 
 
 191-36750 
 
 2-13189 
 
 0-957 
 
 0-685 
 
 0-929 
 
 0-937 
 
 33O-OO 
 
 27 
 
 34-85650 
 
 3-13189 
 
 1-957 
 
 1-685 
 
 0-160 
 
 0-168 
 
 331-OO 
 
 28 
 
 238-34549 
 
 0-60642 
 
 O'6o6 
 
 0-914 
 
 1-160 
 
 1-168 
 
 332-00 
 
 29 
 
 81-83448 
 
 1-60642 
 
 I -606 
 
 0-144 
 
 0-391 
 
 0-398 
 
 333-oo 
 
 3O 
 
 285-32347 
 
 2-60642 
 
 0-256 
 
 1-144 
 
 I-39 1 
 
 I-398 
 
 334-00 
 
 December 1 
 
 128-81247 
 
 0-08096 
 
 1-256 
 
 o-373 
 
 0-622 
 
 0-630 
 
 335-oo 
 
 2 
 
 332-30146 
 
 1-08096 
 
 2-256 
 
 i-373 
 
 1-622 
 
 1-630 
 
 336-00 
 
 3 
 
 17579045 
 
 2-08096 
 
 0-906 
 
 0-603 
 
 0-852 
 
 0-86 j 
 
 337-oo 
 
 4 
 
 19-27944 
 
 3-08096 
 
 1-906 
 
 1-603 
 
 0-083 
 
 0-092 
 
 338-00 
 
 5 
 
 222-76844 
 
 0-55550 
 
 0-556 
 
 0-832 
 
 1-083 
 
 1-092 
 
 339-00 
 
 6 
 
 66-25743 
 
 1-5555 
 
 I-556 
 
 0-062 
 
 '3H 
 
 0-322 
 
 340-00 
 
 7 
 
 269-7464* 
 
 2-5555 
 
 0-205 
 
 1-062 
 
 i'3H 
 
 1-322 
 
 341-00 
 
 8 
 
 113-23541 
 
 0-03003 
 
 I-2O5 
 
 0-291 
 
 '545 
 
 0-553 
 
 342-00 
 
 9 
 
 31672441 
 
 1-03003 
 
 2-2O5 
 
 1-291 
 
 i-545 
 
 1-553 
 
 343'OQ 
 
 1O 
 
 160-21340 
 
 2-03003 
 
 0-855 
 
 0-521 
 
 0-776 
 
 0-784 
 
 344-00 
 
 11 
 
 3-70239 
 
 3-03003 
 
 1-855 
 
 1-521 
 
 0-006 
 
 0-015 
 
 345'oo 
 
 12 
 
 207-19138 
 
 0-50457 
 
 0-505 
 
 0-75 
 
 i -006 
 
 1-015 
 
 346-00 
 
 13 
 
 50-68037 
 
 I-50457 
 
 I-505 
 
 1-750 
 
 0-237 
 
 0-246 
 
 347-00 
 
 14 
 
 254-16937 
 
 2-50457 
 
 0-154 
 
 0-980 
 
 1-237 
 
 1-246 
 
 348-00 
 
 15 
 
 97-65836 
 
 3-50457 
 
 I-I54 
 
 0-209 
 
 0-468 
 
 0-477 
 
 349-00 
 
 16 
 
 301-14735 
 
 0-97911 
 
 2-154 
 
 1-209 
 
 1-468 
 
 1-477 
 
 350-00 
 
 17 
 
 144-63634 
 
 1-97911 
 
 0-804 
 
 0-439 
 
 0-699 
 
 0708 
 
 351-00 
 
 18 
 
 348-12534 
 
 2-97911 
 
 1-804 
 
 i-439 
 
 1-699 
 
 1708 
 
 352-00 
 
 19 
 
 191-61433 
 
 0-45364 
 
 0-454 
 
 0-668 
 
 0-930 
 
 0-938 
 
 353-00 
 
 20 
 
 35-'033z 
 
 1-45364 
 
 1-454 
 
 1-668 
 
 0-160 
 
 0-169 
 
 354-00 
 
 21 
 
 238-59231 
 
 2-45364 
 
 0-103 
 
 0-898 
 
 1-160 
 
 1-169 
 
 355-00 
 
 22 
 
 82-08131 
 
 3H5364 
 
 1-103 
 
 0-127 
 
 0-391 
 
 0-400 
 
 356-00 
 
 23 
 
 285-57030 
 
 0-92818 
 
 2-103 
 
 1-127 
 
 1-391 
 
 1-400 
 
 357-00 
 
 24 
 
 129-05929 
 
 1-92818 
 
 -753 
 
 o-357 
 
 0*622 
 
 0-631 
 
 358-00 
 
 25 
 
 332-54828 
 
 2-92818 
 
 '753 
 
 1-357 
 
 1-622 
 
 1-631 
 
 359-00 
 
 26 
 
 176-03728 
 
 0-40272 
 
 0-403 
 
 0-586 
 
 0-853 
 
 0-862 
 
 360-00 
 
 27 
 
 19-52627 
 
 1-40272 
 
 1-403 
 
 1-586 
 
 0-084 
 
 0-093 
 
 361-00 
 
 28 
 
 223-01526 
 
 2-40272 
 
 0-052 
 
 0-816 
 
 1-084 
 
 1-093 
 
 362-00 
 
 29 
 
 66-50425 
 
 3-40272 
 
 1-052 
 
 0-045 
 
 -34 
 
 0-323 
 
 363-00 
 
 30 
 
 269-99325 
 
 0-87715 
 
 2-052 
 
 1-045 
 
 I-3H 
 
 1-323 
 
 364-00 
 
 31 
 
 113-48224 
 
 1-87725 
 
 0-702 
 
 0-275 
 
 '54S 
 
 o-554 
 
 365-00 
 
 32 
 
 316-97123 
 
 2-87725 
 
 1-702 
 
 1-275 
 
 i-54S 
 
 i-554 
 
 366-00 
 
 In Leap Year diminish the date in Columns i, 9, by i day after Feb. 28. 
 
SATELLITE I 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 X continued Motions of Mean Longitude and the Arguments for Days 
 
 9 
 
 10 
 
 ii 
 
 12 
 
 '3 
 
 >4 
 
 '5 
 
 16 
 
 Day 
 
 J 
 
 K 
 
 L 
 
 M 
 
 N, 
 
 P 
 
 Q 
 
 November 1 1 
 
 y 
 0-863 
 
 d 
 0-09347 
 
 d 
 0-301 
 
 d 
 0-144 
 
 d 
 O'lO 
 
 d 
 0-1 9 7 
 
 d 
 0-12 
 
 12 
 
 0-866 
 
 1-09347 
 
 I - 301 
 
 I-I44 
 
 I-IO 
 
 0-3I3 
 
 0-23 
 
 13 
 
 0-868 
 
 0-32433 
 
 0-533 
 
 0-375 
 
 0-34 
 
 0-429 
 
 0'35 
 
 14 
 
 0-871 
 
 '"3-H33 
 
 ''533 
 
 J'375 
 
 1- 34 
 
 0-544 
 
 0-47 
 
 15 
 
 0-874 
 
 0-55520 
 
 0-765 
 
 0-606 
 
 0-57 
 
 o'66o 
 
 0-58 
 
 16 
 
 0-877 
 
 1-55520 
 
 1-765 
 
 1-606 
 
 1-57 
 
 0-776 
 
 0-70 
 
 17 
 
 0-879 
 
 0-78606 
 
 o-997 
 
 0-838 
 
 0-80 
 
 0-007 
 
 0-8 1 
 
 18 
 
 0-882 
 
 0-01692 
 
 0-229 
 
 0-069 
 
 0-03 
 
 0-123 
 
 0-04 
 
 19 
 
 0-885 
 
 1-01692 
 
 1-229 
 
 1-069 
 
 1-03 
 
 0-239 
 
 0-16 
 
 20 
 
 0-888 
 
 0-24778 
 
 0-461 
 
 0-300 
 
 0-26 
 
 0-354 
 
 0-27 
 
 21 
 
 0-890 
 
 1-24778 
 
 1-461 
 
 1-300 
 
 1-26 
 
 0-470 
 
 o-39 
 
 22 
 
 0-893 
 
 0-47864 
 
 0-693 
 
 o-53i 
 
 0-49 
 
 0-586 
 
 0-50 
 
 23 
 
 0-896 
 
 1-47864 
 
 1-693 
 
 i'53' 
 
 1-49 
 
 0-702 
 
 0-62 
 
 24 
 
 0-899 
 
 0-70951 
 
 0-925 
 
 0-762 
 
 0-72 
 
 0-817 
 
 0-74 
 
 25 
 
 0-901 
 
 1-70951 
 
 0-157 
 
 1-762 
 
 1-72 
 
 0-049 
 
 0-85 
 
 26 
 
 0-904 
 
 0-94037 
 
 1-157 
 
 0-993 
 
 0-95 
 
 0-164 
 
 0-08 
 
 27 
 
 0-907 
 
 0-17123 
 
 0-389 
 
 0-224 
 
 0-18 
 
 0-280 
 
 O-2O 
 
 28 
 
 0-910 
 
 1-17123 
 
 1-389 
 
 1-224 
 
 1-18 
 
 0-396 
 
 0-31 
 
 29 
 
 0-912 
 
 0-40209 
 
 0-621 
 
 0-456 
 
 0-41 
 
 0-512 
 
 0-43 
 
 3O 
 
 0-915 
 
 1-40209 
 
 1-621 
 
 1-456 
 
 1-41 
 
 0-627 
 
 0-54 
 
 December 1 
 
 0-918 
 
 0-63296 
 
 0-853 
 
 0-687 
 
 0-64 
 
 0-743 
 
 0-66 
 
 2 
 
 0-921 
 
 1-63296 
 
 0-085 
 
 1-687 
 
 1-64 
 
 0-859 
 
 0-78 
 
 3 
 
 0-923 
 
 0-86382 
 
 1-085 
 
 0-918 
 
 0-88 
 
 0-090 
 
 O'OI 
 
 4 
 
 0-926 
 
 0-09468 
 
 0-317 
 
 0-149 
 
 O-II 
 
 0-206 
 
 0-13 
 
 5 
 
 0-929 
 
 1-09468 
 
 1-317 
 
 1-149 
 
 111 
 
 0-322 
 
 0-24 
 
 6 
 
 0-932 
 
 0-3*554 
 
 0-549 
 
 0-380 
 
 o-34 
 
 0-437 
 
 0-35 
 
 7 
 
 0-934 
 
 i-3*554 
 
 I- 549 
 
 1-380 
 
 1-34 
 
 o'553 
 
 0-47 
 
 8 
 
 0-937 
 
 0-55640 
 
 0-781 
 
 0-611 
 
 0-57 
 
 0-669 
 
 0-58 
 
 9 
 
 0-940 
 
 1-55640 
 
 0-013 
 
 1-611 
 
 1-57 
 
 0785 
 
 0-70 
 
 10 
 
 0-942 
 
 0-78727 
 
 1-013 
 
 0-842 
 
 0-80 
 
 0-016 
 
 0-81 
 
 11 
 
 0-945 
 
 0-01813 
 
 0-245 
 
 0-074 
 
 0-03 
 
 0-132 
 
 0-05 
 
 12 
 
 0-948 
 
 1-01813 
 
 1-245 
 
 1-074 
 
 1-03 
 
 0-247 
 
 0-17 
 
 13 
 
 0-951 
 
 0*24899 
 
 0-477 
 
 0-305 
 
 0-26 
 
 0-363 
 
 0-28 
 
 14 
 
 0-953 
 
 1-24899 
 
 1-477 
 
 1-305 
 
 1-26 
 
 0-479 
 
 o-39 
 
 15 
 
 0-956 
 
 0-47985 
 
 0-709 
 
 0-536 
 
 0-49 
 
 0-595 
 
 0-51 
 
 16 
 
 0-959 
 
 1-47985 
 
 1-709 
 
 '536 
 
 1-49 
 
 0-710 
 
 0-62 
 
 17 
 
 0-962 
 
 0-71072 
 
 0-941 
 
 0-767 
 
 0-72 
 
 0-826 
 
 0-74 
 
 18 
 
 0-964 
 
 171072 
 
 0-173 
 
 1-767 
 
 1-72 
 
 0-058 
 
 0-85 
 
 19 
 
 0-967 
 
 0-94158 
 
 i'!73 
 
 0-998 
 
 0-95 
 
 0-173 
 
 0-09 
 
 20 
 
 0-970 
 
 0-17244 
 
 0-405 
 
 0-229 
 
 0-18 
 
 0-289 
 
 O-20 
 
 21 
 
 0-973 
 
 1-17244 
 
 1-405 
 
 1-229 
 
 1-18 
 
 0-405 
 
 0-32 
 
 22 
 
 0-975 
 
 0-40330 
 
 0-637 
 
 0-461 
 
 0-42 
 
 0-520 
 
 OH3 
 
 23 
 
 0-978 
 
 1-40330 
 
 1-637 
 
 1-461 
 
 1-42 
 
 0-636 
 
 0-55 
 
 24 
 
 0-981 
 
 0-63416 
 
 0-869 
 
 0-692 
 
 0-65 
 
 0-752 
 
 0-66 
 
 25 
 
 0-984 
 
 1-63416 
 
 o-ioi 
 
 1-692 
 
 1-65 
 
 0-868 
 
 0-78 
 
 26 
 
 0-986 
 
 0-86503 
 
 I-IOI 
 
 0-923 
 
 0-88 
 
 0-099 
 
 O'OI 
 
 27 
 
 0-989 
 
 0-09589 
 
 0-334 
 
 0-154 
 
 o-n 
 
 0-215 
 
 0'12 
 
 28 
 
 0-99* 
 
 1-09589 
 
 J'334 
 
 1-154 
 
 l-il 
 
 0-330 
 
 0-24 
 
 29 
 
 0-995 
 
 0-32675 
 
 0-566 
 
 0-385 
 
 0-34 
 
 0-446 
 
 0-36 
 
 30 
 
 0-997 
 
 1-32675 
 
 1-566 
 
 '385 
 
 '"34 
 
 0-562 
 
 0-47 
 
 31 
 
 rooo 
 
 0-55762 
 
 0-798 
 
 0-616 
 
 0-57 
 
 0-678 
 
 0-59 
 
 32 
 
 1-003 
 
 1-55762 
 
 0-030 
 
 1-616 
 
 i'57 
 
 0793 
 
 0-70 
 
 In Leap Year diminish the date in Columns i. 9, by i day after Feb. 28 
 
XI 
 
 SATELLITE I 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 Motion of Mean Longitude for Parts of a Day 
 
 I 
 
 z 
 
 i 
 
 z 
 
 Days 
 
 Mean Long. 
 
 Days 
 
 Mean Long. 
 
 d 
 001 
 
 
 
 2-03489 
 
 d 
 
 051 
 
 o 
 
 10377939 
 
 02 
 
 4-06978 
 
 52 
 
 105-81428 
 
 03 
 
 6-10467 
 
 53 
 
 107-84917 
 
 04 
 
 8-13956 
 
 54 
 
 109-88406 
 
 05 
 
 10-17445 
 
 55 
 
 111-91895 
 
 006 
 
 12-20934 
 
 56 
 
 113-95384 
 
 O7 
 
 14-24423 
 
 57 
 
 115-98873 
 
 08 
 
 16-27912 
 
 58 
 
 118-02362 
 
 09 
 
 i8'3i4Oi 
 
 59 
 
 120-05851 
 
 1O 
 
 20-34890 
 
 60 
 
 122-09340 
 
 Oil 
 
 22-38379 
 
 61 
 
 124-12829 
 
 12 
 
 24-41868 
 
 62 
 
 126-16318 
 
 13 
 
 26-45357 
 
 63 
 
 128-19807 
 
 14 
 
 28-48846 
 
 64 
 
 130-23296 
 
 15 
 
 30-52335 
 
 65 
 
 132-26785 
 
 016 
 
 32-55824 
 
 066 
 
 134-30274 
 
 17 
 
 34'593i3 
 
 67 
 
 136-33762 
 
 18 
 
 36-62802 
 
 68 
 
 138-37251 
 
 19 
 
 38-66291 
 
 69 
 
 140-40740 
 
 2O 
 
 40-69780 
 
 7O 
 
 142-44229 
 
 0-21 
 
 4273269 
 
 O-71 
 
 144-47718 
 
 22 
 
 4476758 
 
 72 
 
 146-51207 
 
 23 
 
 46-80247 
 
 73 
 
 148-54696 
 
 24 
 
 48-83736 
 
 74 
 
 150-58185 
 
 25 
 
 50-87225 
 
 75 
 
 152-61674 
 
 0'26 
 
 52-90714 
 
 076 
 
 154-65163 
 
 27 
 
 54-94203 
 
 77 
 
 156-68652 
 
 28 
 
 56-97692 
 
 78 
 
 15872141 
 
 29 
 
 59-01 181 
 
 79 
 
 16075630 
 
 30 
 
 61-04670 
 
 80 
 
 162-79119 
 
 031 
 
 63-08159 
 
 081 
 
 164-82608 
 
 32 
 
 65-11648 
 
 82 
 
 166-86097 
 
 33 
 
 67-15137 
 
 83 
 
 168-89586 
 
 34 
 
 69-18626 
 
 84 
 
 170-93075 
 
 35 
 
 71-22115 
 
 85 
 
 172-96564 
 
 036 
 
 73-25604 
 
 086 
 
 175-00053 
 
 37 
 
 75-29093 
 
 87 
 
 177-03542 
 
 38 
 
 77-32582 
 
 88 
 
 179-07031 
 
 39 
 
 79-36071 
 
 89 
 
 181-10520 
 
 40 
 
 81-39560 
 
 90 
 
 183-14009 
 
 041 
 
 83-43049 
 
 091 
 
 185-17498 
 
 42 
 
 85-46538 
 
 92 
 
 187-20987 
 
 43 
 
 87-50027 
 
 93 
 
 189-24476 
 
 44 
 
 89-53516 
 
 94 
 
 191-27965 
 
 45 
 
 91-57005 
 
 95 
 
 193-31454 
 
 O48 
 
 93-60494 
 
 096 
 
 '95'34943 
 
 47 
 
 95-63983 
 
 97 
 
 197-38432 
 
 48 
 
 97-67472 
 
 98 
 
 199-41921 
 
 49 
 
 9970961 
 
 99 
 
 201-45410 
 
 50 
 
 10174450 
 
 1 00 
 
 203-48899 
 
 3 
 
 4 
 
 3 
 
 4 
 
 Days 
 
 Mean Long. 
 
 Days 
 
 Mean Long. 
 
 d 
 00001 
 
 o 
 
 0-02035 
 
 d 
 0-0051 
 
 o 
 
 03779 
 
 2 
 
 04070 
 
 52 
 
 05814 
 
 3 
 
 06105 
 
 53 
 
 07849 
 
 4 
 
 08140 
 
 54 
 
 09884 
 
 5 
 
 10174 
 
 55 
 
 11919 
 
 00006 
 
 0-12209 
 
 O-O056 
 
 13954 
 
 7 
 
 14244 
 
 57 
 
 15989 
 
 8 
 
 16279 
 
 58 
 
 18024 
 
 9 
 
 18314 
 
 59 
 
 20059 
 
 1O 
 
 20349 
 
 6O 
 
 22093 
 
 001 1 
 
 0-22384 
 
 00061 
 
 24128 
 
 12 
 
 24419 
 
 62 
 
 26163 
 
 13 
 
 26454 
 
 63 
 
 28198 
 
 14 
 
 28488 
 
 64 
 
 30233 
 
 15 
 
 30523 
 
 65 
 
 32268 
 
 001 6 
 
 0-32558 
 
 00066 
 
 34303 
 
 17 
 
 34593 
 
 67 
 
 36338 
 
 18 
 
 36628 
 
 68 
 
 38373 
 
 19 
 
 38663 
 
 69 
 
 40407 
 
 2O 
 
 40698 
 
 70 
 
 42442 
 
 00021 
 
 0-42733 
 
 00071 
 
 44477 
 
 22 
 
 44768 
 
 72 
 
 46512 
 
 23 
 
 46802 
 
 73 
 
 48547 
 
 24 
 
 48837 
 
 74 
 
 50582 
 
 25 
 
 50872 
 
 75 
 
 52617 
 
 00026 
 
 0-52907 
 
 00076 
 
 54652 
 
 27 
 
 54942 
 
 77 
 
 56687 
 
 28 
 
 56977 
 
 78 
 
 58721 
 
 29 
 
 59012 
 
 79 
 
 60756 
 
 30 
 
 61047 
 
 SO 
 
 62791 
 
 00031 
 
 0-63082 
 
 00081 
 
 64826 
 
 32 
 
 65116 
 
 82 
 
 66861 
 
 33 
 
 67151 
 
 83 
 
 68896 
 
 34 
 
 69186 
 
 84 
 
 70931 
 
 35 
 
 71221 
 
 85 
 
 72966 
 
 00036 
 
 073256 
 
 00086 
 
 75001 
 
 37 
 
 75291 
 
 87 
 
 77035 
 
 38 
 
 77326 
 
 88 
 
 79070 
 
 39 
 
 79361 
 
 89 
 
 81105 
 
 4O 
 
 81396 
 
 90 
 
 83140 
 
 00041 
 
 0-83430 
 
 00091 
 
 85175 
 
 42 
 
 85465 
 
 92 
 
 87210 
 
 43 
 
 87500 
 
 93 
 
 89245 
 
 44 
 
 89535 
 
 94 
 
 91280 
 
 45 
 
 91570 
 
 95 
 
 93315 
 
 00046 
 
 0-93605 
 
 00096 
 
 95349 
 
 47 
 
 95640 
 
 97 
 
 97384 
 
 48 
 
 97675 
 
 98 
 
 99419 
 
 49 
 
 0^99710 
 
 99 
 
 2-01454 
 
 5O 
 
 1-01745 
 
 o-oioo 
 
 2-03489 
 
 For the Arguments A Q (omitting J), the fraction of a day must be added to the sum of the entries taken from Tables IX, X. 
 
 3* 
 
XII 
 
 SATELLITE I 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 Equation of Longitude Argument A 
 
 I 
 
 2 
 
 3 
 
 4 
 
 i 
 
 2 
 
 3 
 
 4 
 
 I 
 
 z 
 
 3 
 
 4 
 
 i 
 
 2 
 
 3 
 
 4 
 
 A 
 
 Equa- 
 tion 
 
 A 
 
 4 A* 
 
 A 
 
 Equa- 
 tion 
 
 A 
 
 A 2 
 
 A 
 
 Equa- 
 tion 
 
 A 
 
 A* 
 
 A 
 
 Equa- 
 tion 
 
 A 
 
 **' 
 
 d 
 
 o 
 
 
 
 d 
 
 c. 
 
 
 
 d 
 
 o 
 
 
 
 d 
 
 
 
 
 
 00 
 
 48000 
 
 + 1694 
 
 
 
 050 
 
 93788 
 
 - 375 
 
 -31 
 
 1 00 
 
 28255 
 
 -1521 
 
 + 12 
 
 1 50 
 
 09857 
 
 + 998 
 
 + 24 
 
 001 
 
 49694. 
 
 1694 
 
 I 
 
 051 
 
 93383 
 
 434 
 
 29 
 
 01 
 
 26746 
 
 '495 
 
 '4 
 
 51 
 
 10878 
 
 1046 
 
 25 
 
 02 
 
 51387 
 
 1691 
 
 3 
 
 0-52 
 
 92921 
 
 49 
 
 28 
 
 02 
 
 25265 
 
 1467 
 
 '4 
 
 52 
 
 I 1948 
 
 1093 
 
 23 
 
 003 
 
 53075 
 
 1684 
 
 4 
 
 053 
 
 92404 
 
 546 
 
 29 
 
 03 
 
 23812 
 
 H38 
 
 16 
 
 53 
 
 13063 
 
 1138 
 
 23 
 
 0-04 
 
 54755 
 
 1676 
 
 4 
 
 54 
 
 91829 
 
 603 
 
 28 
 
 04 
 
 22390 
 
 1407 
 
 '5 
 
 54 
 
 14223 
 
 1182 
 
 22 
 
 005 
 
 56427 
 
 1666 
 
 6 
 
 055 
 
 91 198 
 
 658 
 
 27 
 
 O5 
 
 20998 
 
 '375 
 
 18 
 
 55 
 
 15426 
 
 1224 
 
 21 
 
 006 
 
 58088 
 
 + 1654 
 
 - 7 
 
 0-56 
 
 90513 
 
 - 7'2 
 
 -27 
 
 06 
 
 19641 
 
 -'339 
 
 + 18 
 
 56 
 
 16671 
 
 + 1264 
 
 + 19 
 
 O-O7 
 
 59735 
 
 1641 
 
 7 
 
 57 
 
 89775 
 
 765 
 
 26 
 
 07 
 
 18320 
 
 '304 
 
 ll 
 
 57 
 
 17954 
 
 1303 
 
 20 
 
 008 
 
 61369 
 
 1624 
 
 10 
 
 58 
 
 88984 
 
 817 
 
 26 
 
 08 
 
 17034 
 
 1266 
 
 20 
 
 58 
 
 19277 
 
 1342 
 
 '9 
 
 009 
 
 62983 
 
 1605 
 
 9 
 
 0-59 
 
 88141 
 
 870 
 
 27 
 
 09 
 
 15788 
 
 1226 
 
 21 
 
 59 
 
 20637 
 
 1378 
 
 18 
 
 010 
 
 64579 
 
 1585 
 
 1 1 
 
 60 
 
 87244 
 
 921 
 
 24 
 
 10 
 
 '4583 
 
 1185 
 
 2O 
 
 6O 
 
 22032 
 
 1411 
 
 it 
 
 0-11 
 
 66153 
 
 + 1562 
 
 -'3 
 
 61 
 
 86300 
 
 - 968 
 
 -24 
 
 11 
 
 13418 
 
 -"44 
 
 + 2 
 
 61 
 
 23459 
 
 + '443 
 
 + 16 
 
 012 
 
 67702 
 
 '537 
 
 '3 
 
 62 
 
 85308 
 
 1016 
 
 24 
 
 12 
 
 12296 
 
 1099 
 
 23 
 
 62 
 
 24918 
 
 '474 
 
 '5 
 
 013 
 
 69226 
 
 1510 
 
 i + 
 
 O 63 
 
 84268 
 
 1062 
 
 22 
 
 13 
 
 I 1220 
 
 1054 
 
 23 
 
 63 
 
 26407 
 
 1503 
 
 '4 
 
 014 
 
 70722 
 
 1482 
 
 15 
 
 064 
 
 83184 
 
 1107 
 
 23 
 
 14 
 
 lOlSg 
 
 1008 
 
 24 
 
 64 
 
 27923 
 
 1529 
 
 '3 
 
 015 
 
 72189 
 
 1451 
 
 17 
 
 065 
 
 82055 
 
 1151 
 
 22 
 
 15 
 
 09205 
 
 960 
 
 25 
 
 65 
 
 29465 
 
 554 
 
 12 
 
 0-16 
 
 73623 
 
 + 1418 
 
 -'7 
 
 0-66 
 
 80882 
 
 -1193 
 
 - 20 
 
 16 
 
 08270 
 
 - 911 
 
 + 25 
 
 66 
 
 31031 
 
 + '577 
 
 + 11 
 
 O'17 
 
 75024 
 
 1384 
 
 18 
 
 0-67 
 
 79670 
 
 '233 
 
 21 
 
 17 
 
 07384 
 
 860 
 
 26 
 
 67 
 
 32618 
 
 '597 
 
 IO 
 
 018 
 
 76390 
 
 '347 
 
 '9 
 
 68 
 
 78416 
 
 1274 
 
 20 
 
 18 
 
 06550 
 
 809 
 
 25 
 
 68 
 
 34225 
 
 1616 
 
 9 
 
 019 
 
 77718 
 
 1309 
 
 '9 
 
 69 
 
 77123 
 
 1311 
 
 [1 
 
 19 
 
 05767 
 
 757 
 
 27 
 
 69 
 
 35850 
 
 '6J3 
 
 8 
 
 0-20 
 
 79008 
 
 1270 
 
 20 
 
 070 
 
 75795 
 
 1346 
 
 18 
 
 2O 
 
 05037 
 
 704 
 
 27 
 
 7O 
 
 37490 
 
 1647 
 
 7 
 
 021 
 
 80258 
 
 + 1229 
 
 - 21 
 
 O'71 
 
 7443' 
 
 - 1381 
 
 -16 
 
 21 
 
 04360 
 
 - 649 
 
 + 2 9 
 
 71 
 
 39143 
 
 + 1659 
 
 + 6 
 
 0-22 
 
 81466 
 
 1186 
 
 23 
 
 0'72 
 
 73033 
 
 1414 
 
 16 
 
 22 
 
 03740 
 
 594 
 
 27 
 
 72 
 
 40808 
 
 1670 
 
 5 
 
 0-23 
 
 82629 
 
 1141 
 
 22 
 
 O-73 
 
 71604 
 
 1444 
 
 15 
 
 23 
 
 03173 
 
 539 
 
 2 9 
 
 73 
 
 42482 
 
 1678 
 
 4 
 
 0-24 
 
 83748 
 
 1095 
 
 2 4 
 
 0'74 
 
 70146 
 
 1472 
 
 '4 
 
 24 
 
 '02663 
 
 482 
 
 2 9 
 
 74 
 
 44163 
 
 1683 
 
 2 
 
 025 
 
 84819 
 
 1048 
 
 *4 
 
 O-75 
 
 68661 
 
 1499 
 
 '4 
 
 25 
 
 O22IO 
 
 424 
 
 30 
 
 75 
 
 45848 
 
 1687 
 
 i 
 
 0-26 
 
 85843 
 
 + 1000 
 
 -24 
 
 76 
 
 67148 
 
 -1525 
 
 -12 
 
 26 
 
 Ol8l6 
 
 - 366 
 
 + 2 9 
 
 76 
 
 47537 
 
 + 1690 
 
 + i 
 
 0-27 
 
 86819 
 
 950 
 
 26 
 
 O-77 
 
 65612 
 
 1548 
 
 12 
 
 27 
 
 01479 
 
 307 
 
 30 
 
 77 
 
 49228 
 
 1690 
 
 - 2 
 
 028 
 
 87743 
 
 899 
 
 25 
 
 78 
 
 64053 
 
 1569 
 
 10 
 
 28 
 
 'OI2O2 
 
 249 
 
 *9 
 
 78 
 
 50916 
 
 1686 
 
 2 
 
 29 
 
 88617 
 
 848 
 
 27 
 
 0-79 
 
 62475 
 
 1587 
 
 9 
 
 29 
 
 00982 
 
 191 
 
 30 
 
 79 
 
 52600 
 
 1682 
 
 3 
 
 030 
 
 89438 
 
 795 
 
 27 
 
 080 
 
 60879 
 
 1605 
 
 9 
 
 3O 
 
 00821 
 
 '3' 
 
 30 
 
 8O 
 
 54279 
 
 1675 
 
 5 
 
 031 
 
 90206 
 
 + 741 
 
 -28 
 
 081 
 
 59265 
 
 - 1621 
 
 - 7 
 
 31 
 
 OO72O 
 
 - 7' 
 
 + 30 
 
 81 
 
 55949 
 
 + 1666 
 
 - 5 
 
 32 
 
 90919 
 
 686 
 
 28 
 
 082 
 
 57637 
 
 1634 
 
 6 
 
 32 
 
 00679 
 
 - 12 
 
 29 
 
 82 
 
 57609 
 
 1655 
 
 6 
 
 33 
 
 '9'577 
 
 630 
 
 29 
 
 0-83 
 
 '55997 
 
 1645 
 
 5 
 
 33 
 
 00696 
 
 + 48 
 
 3' 
 
 83 
 
 59258 
 
 1641 
 
 8 
 
 O34 
 
 92178 
 
 573 
 
 29 
 
 84 
 
 '54347 
 
 1654 
 
 4 
 
 34 
 
 00775 
 
 108 
 
 29 
 
 84 
 
 60891 
 
 1625 
 
 8 
 
 035 
 
 92722 
 
 5'5 
 
 29 
 
 O85 
 
 52690 
 
 1661 
 
 4 
 
 35 
 
 OO9I2 
 
 ,6 7 
 
 30 
 
 85 
 
 62508 
 
 1608 
 
 9 
 
 0-36 
 
 93208 
 
 + 457 
 
 -29 
 
 086 
 
 51026 
 
 -1667 
 
 ij 
 
 36 
 
 OII09 
 
 + 227 
 
 + 30 
 
 86 
 
 64107 
 
 + 1588 
 
 - ii 
 
 037 
 
 93636 
 
 399 
 
 29 
 
 O-87 
 
 '49357 
 
 1670 
 
 - i 
 
 37 
 
 01365 
 
 286 
 
 30 
 
 87 
 
 65684 
 
 1567 
 
 u 
 
 038 
 
 94006 
 
 34 
 
 30 
 
 088 
 
 47687 
 
 1670 
 
 o 
 
 38 
 
 OI68O 
 
 345 
 
 30 
 
 88 
 
 67240 
 
 '544 
 
 '3 
 
 039 
 
 943i6 
 
 281 
 
 29 
 
 089 
 
 46017 
 
 1669 
 
 + 2 
 
 39 
 
 02055 
 
 43 
 
 28 
 
 89 
 
 68771 
 
 1518 
 
 '4 
 
 O-4O 
 
 94568 
 
 222 
 
 3' 
 
 0-30 
 
 44350 
 
 1665 
 
 2 
 
 4O 
 
 02486 
 
 461 
 
 30 
 
 90 
 
 70275 
 
 1489 
 
 15 
 
 0-41 
 
 '94759 
 
 + 161 
 
 -3 
 
 091 
 
 42687 
 
 - 1660 
 
 + 3 
 
 41 
 
 02976 
 
 + 5'9 
 
 + 29 
 
 91 
 
 71749 
 
 + 1460 
 
 -'5 
 
 042 
 
 94890 
 
 102 
 
 30 
 
 92 
 
 41030 
 
 1652 
 
 5 
 
 42 
 
 35 2 3 
 
 575 
 
 28 
 
 92 
 
 73'94 
 
 1429 
 
 16 
 
 O43 
 
 94962 
 
 + 42 
 
 3 
 
 0-93 
 
 39383 
 
 1641 
 
 6 
 
 43 
 
 04126 
 
 63' 
 
 28 
 
 93 
 
 74607 
 
 1396 
 
 '7 
 
 O44 
 
 '94974 
 
 - '9 
 
 3' 
 
 094 
 
 3774 6 
 
 1630 
 
 5 
 
 44 
 
 04784 
 
 687 
 
 28 
 
 94 
 
 75986 
 
 1361 
 
 18 
 
 0'45 
 
 '949 2 5 
 
 79 
 
 3 
 
 O'95 
 
 36121 
 
 1618 
 
 7 
 
 45 
 
 05499 
 
 742 
 
 27 
 
 95 
 
 77329 
 
 1324 
 
 '9 
 
 046 
 
 94816 
 
 '39 
 
 -3 
 
 96 
 
 345i 
 
 - '603 
 
 + 9 
 
 46 
 
 06267 
 
 + 794 
 
 + 26 
 
 96 
 
 78634 
 
 + 1286 
 
 - 20 
 
 047 
 
 94647 
 
 199 
 
 30 
 
 O-97 
 
 32916 
 
 1585 
 
 10 
 
 47 
 
 07087 
 
 846 
 
 26 
 
 97 
 
 79900 
 
 1246 
 
 20 
 
 048 
 
 94419 
 
 258 
 
 3 
 
 0-98 
 
 '3'34' 
 
 1564 
 
 ii 
 
 48 
 
 07959 
 
 898 
 
 26 
 
 98 
 
 81126 
 
 1205 
 
 21 
 
 049 
 
 94'32 
 
 3'6 
 
 29 
 
 O'99 
 
 29788 
 
 '543 
 
 10 
 
 1-49 
 
 08883 
 
 949 
 
 25 
 
 99 
 
 82310 
 
 1162 
 
 22 
 
 050 
 
 93788 
 
 - 375 
 
 -3' 
 
 1 00 
 
 28255 
 
 -1521 
 
 + 12 
 
 1 50 
 
 09857 
 
 + 998 
 
 + 24 
 
 2 00 
 
 83450 
 
 + 1117 
 
 -23 
 
 Added Constant : a '48000. 
 33 
 
SATELLITE I 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 Equation of Longitude Argument A 
 
 XII continued 
 
 
 
 2 
 
 3 
 
 4 
 
 i 
 
 1 
 
 3 
 
 4 
 
 i 
 
 2 
 
 3 
 
 4 
 
 . 
 
 2 
 
 3 
 
 4 
 
 A 
 
 Equa- 
 tion 
 
 A 
 
 *A* 
 
 A 
 
 Equa- 
 tion 
 
 A 
 
 iA* 
 
 A 
 
 Equa- 
 tion 
 
 A 
 
 * A2 
 
 A 
 
 Equa- 
 tion 
 
 A 
 
 i* 2 
 
 d 
 
 200 
 
 o 
 
 83450 
 
 + HI7 
 
 -23 
 
 d 
 
 2-50 
 
 o 
 
 71530 
 
 -1450 
 
 -'3 
 
 d 
 
 300 
 
 03355 
 
 - 522 
 
 + 29 
 
 d 
 
 350 
 
 43691 
 
 + 1687 
 
 + 3 
 
 201 
 
 84544 
 
 1071 
 
 23 
 
 251 
 
 70067 
 
 1478 
 
 15 
 
 301 
 
 02862 
 
 464 
 
 29 
 
 3-51 
 
 4538o 
 
 1692 
 
 + 3 
 
 2-02 
 
 85592 
 
 1024 
 
 2 4 
 
 252 
 
 68574 
 
 1506 
 
 '3 
 
 302 
 
 02427 
 
 406 
 
 29 
 
 352 
 
 47075 
 
 1695 
 
 - i 
 
 2 03 
 
 86592 
 
 976 
 
 24 
 
 253 
 
 67055 
 
 SJ 
 
 12 
 
 303 
 
 02050 
 
 348 
 
 30 
 
 3-53 
 
 48769 
 
 1694 
 
 i 
 
 2-04 
 
 87544 
 
 926 
 
 26 
 
 254 
 
 65512 
 
 1554 
 
 I I 
 
 304 
 
 01732 
 
 289 
 
 29 
 
 3-54 
 
 50462 
 
 1692 
 
 i 
 
 205 
 
 88444 
 
 875 
 
 26 
 
 2-55 
 
 63948 
 
 574 
 
 10 
 
 3 05 
 
 01472 
 
 231 
 
 30 
 
 355 
 
 5 2 i53 
 
 1688 
 
 3 
 
 206 
 
 89293 
 
 + 823 
 
 -27 
 
 256 
 
 62365 
 
 -'593 
 
 - IO 
 
 306 
 
 01271 
 
 - 172 
 
 + 30 
 
 3-56 
 
 53838 
 
 + 1682 
 
 - 4 
 
 207 
 
 90089 
 
 770 
 
 26 
 
 2-57 
 
 60763 
 
 1610 
 
 8 
 
 3-07 
 
 01 129 
 
 112 
 
 30 
 
 3-57 
 
 555i6 
 
 1673 
 
 6 
 
 208 
 
 90833 
 
 716 
 
 28 
 
 2'58 
 
 59146 
 
 1624 
 
 7 
 
 308 
 
 01047 
 
 - S 2 
 
 31 
 
 3-58 
 
 57183 
 
 1661 
 
 7 
 
 209 
 
 91521 
 
 66 1 
 
 28 
 
 259 
 
 57515 
 
 1637 
 
 6 
 
 309 
 
 01026 
 
 + 9 
 
 30 
 
 359 
 
 58837 
 
 1648 
 
 6 
 
 2 1O 
 
 92154 
 
 606 
 
 28 
 
 2-6O 
 
 55873 
 
 1648 
 
 6 
 
 3-1 
 
 01065 
 
 69 
 
 30 
 
 3 60 
 
 60479 
 
 1634 
 
 9 
 
 211 
 
 92732 
 
 + 550 
 
 -9 
 
 261 
 
 54220 
 
 -1658 
 
 - 5 
 
 311 
 
 01164 
 
 + 128 
 
 + 29 
 
 361 
 
 '62104 
 
 + 1615 
 
 - 10 
 
 2-12 
 
 93253 
 
 493 
 
 28 
 
 2-62 
 
 52558 
 
 1664 
 
 2 
 
 3-12 
 
 01321 
 
 188 
 
 31 
 
 3-62 
 
 63709 
 
 1596 
 
 9 
 
 213 
 
 93718 
 
 436 
 
 30 
 
 263 
 
 50893 
 
 1666 
 
 I 
 
 313 
 
 01539 
 
 248 
 
 30 
 
 363 
 
 65296 
 
 1576 
 
 12 
 
 214 
 
 94124 
 
 377 
 
 3 
 
 2-64 
 
 49226 
 
 1670 
 
 - 3 
 
 3-14 
 
 01817 
 
 308 
 
 30 
 
 3-64 
 
 66860 
 
 1551 
 
 13 
 
 215 
 
 94471 
 
 3'8 
 
 3 
 
 2-65 
 
 47554 
 
 1671 
 
 + i 
 
 315 
 
 02154 
 
 367 
 
 30 
 
 3'65 
 
 68398 
 
 1525 
 
 H 
 
 216 
 
 94759 
 
 + 2 59 
 
 -3 
 
 266 
 
 45884 
 
 - 1669 
 
 + 2 
 
 3-16 
 
 02551 
 
 + 426 
 
 + 29 
 
 3-66 
 
 69909 
 
 + 1497 
 
 -I 4 
 
 2-17 
 
 94988 
 
 200 
 
 29 
 
 2-67 
 
 44217 
 
 1664 
 
 3 
 
 3-17 
 
 03005 
 
 484 
 
 3 
 
 3-67 
 
 71392 
 
 1468 
 
 15 
 
 218 
 
 95159 
 
 140 
 
 3i 
 
 268 
 
 42556 
 
 1658 
 
 3 
 
 318 
 
 03519 
 
 542 
 
 28 
 
 368 
 
 72845 
 
 H36 
 
 17 
 
 2-19 
 
 95268 
 
 ll 
 
 29 
 
 269 
 
 40901 
 
 1650 
 
 5 
 
 3-19 
 
 04089 
 
 599 
 
 29 
 
 369 
 
 74264 ! 1402 
 
 '7 
 
 2 -2O 
 
 95320 
 
 + 21 
 
 3' 
 
 27O 
 
 39256 
 
 1640 
 
 6 
 
 320 
 
 04716 
 
 655 
 
 28 
 
 3'7O 
 
 75649 
 
 1367 
 
 '9 
 
 2-21 
 
 95310 
 
 - 39 
 
 -29 
 
 2-71 
 
 37622 
 
 -1628 
 
 + 7 
 
 321 
 
 05398 
 
 + 710 
 
 + 28 
 
 371 
 
 76997 
 
 + 1330 
 
 -18 
 
 222 
 
 95243 
 
 98 
 
 3' 
 
 272 
 
 36001 
 
 1614 
 
 7 
 
 3-22 
 
 06136 
 
 765 
 
 27 
 
 3'72 
 
 78309 
 
 1292 
 
 20 
 
 2-23 
 
 95115 
 
 158 
 
 3 
 
 273 
 
 '34394 
 
 1598 
 
 9 
 
 3'23 
 
 06928 
 
 819 
 
 27 
 
 373 
 
 79581 
 
 1251 
 
 21 
 
 224 
 
 94927 
 
 217 
 
 29 
 
 274 
 
 32806 
 
 1579 
 
 9 
 
 3 24 
 
 07774 
 
 871 
 
 2 5 
 
 3'74 
 
 80811 
 
 1209 
 
 22 
 
 225 
 
 94681 
 
 276 
 
 3 
 
 275 
 
 31236 
 
 1560 
 
 ii 
 
 325 
 
 08670 
 
 922 
 
 26 
 
 375 
 
 81998 
 
 1165 
 
 22 
 
 226 
 
 '94375 
 
 - 335 
 
 -29 
 
 276 
 
 29687 
 
 -1537 
 
 + 12 
 
 3-26 
 
 09617 
 
 + 972 
 
 + 25 
 
 3'76 
 
 83141 
 
 + I 121 
 
 -2 3 
 
 227 
 
 94012 
 
 39 2 
 
 29 
 
 277 
 
 28162 
 
 1513 
 
 12 
 
 3-27 
 
 10614 
 
 IO22 
 
 25 
 
 3-77 
 
 84239 
 
 1075 
 
 24 
 
 228 
 
 '9359 1 
 
 45 
 
 29 
 
 2-78 
 
 26661 
 
 1487 
 
 H 
 
 3'28 
 
 i 1 66 1 
 
 1070 
 
 23 
 
 378 
 
 85290 
 
 IO27 
 
 24 
 
 229 
 
 93112 
 
 507 
 
 28 
 
 279 
 
 25188 
 
 H59 
 
 H 
 
 329 
 
 12754 
 
 III7 
 
 24 
 
 3'79 
 
 86293 
 
 978 
 
 2 5 
 
 2 30 
 
 92577 
 
 563 
 
 28 
 
 280 
 
 23743 
 
 H3o 
 
 16 
 
 3 3O 
 
 '3894 
 
 I 162 
 
 22 
 
 380 
 
 87246 
 
 928 
 
 26 
 
 231 
 
 91986 
 
 - 619 
 
 -28 
 
 281 
 
 22329 
 
 -'399 
 
 + 16 
 
 331 
 
 15077 
 
 + 1205 
 
 + 22 
 
 3-81 
 
 88148 
 
 + 876 
 
 -26 
 
 232 
 
 '9 '34 
 
 674 
 
 28 
 
 2-82 
 
 20946 
 
 1366 
 
 18 
 
 3-32 
 
 16304 
 
 1247 
 
 2O 
 
 382 
 
 88998 
 
 823 
 
 27 
 
 233 
 
 90639 
 
 728 
 
 27 
 
 283 
 
 19598 
 
 '33 
 
 9 
 
 333 
 
 17571 
 
 1288 
 
 21 
 
 3-83 
 
 89794 
 
 770 
 
 27 
 
 2'34 
 
 89885 
 
 781 
 
 27 
 
 2-84 
 
 18287 
 
 1294 
 
 18 
 
 3-34 
 
 18879 
 
 1328 
 
 2O 
 
 3'84 
 
 90537 
 
 7 l6 
 
 28 
 
 235 
 
 89078 
 
 833 
 
 26 
 
 285 
 
 1701 1 
 
 1256 
 
 20 
 
 3-35 
 
 20226 
 
 365 
 
 18 
 
 3-85 
 
 91225 
 
 660 
 
 28 
 
 236 
 
 88220 
 
 - 883 
 
 -Z5 
 
 286 
 
 15775 
 
 - 1216 
 
 + 21 
 
 3-36 
 
 21608 
 
 + 1399 
 
 + 17 
 
 3-86 
 
 91857 
 
 + 604 
 
 -29 
 
 2-37 
 
 87312 
 
 933 
 
 2 5 
 
 287 
 
 14580 
 
 1174 
 
 21 
 
 337 
 
 23024 
 
 H33 
 
 7 
 
 387 
 
 92432 
 
 547 
 
 28 
 
 2-38 
 
 86355 
 
 981 
 
 24 
 
 2-88 
 
 i34 2 7 
 
 1131 
 
 22 
 
 338 
 
 24474 
 
 1465 
 
 15 
 
 388 
 
 92951 
 
 489 
 
 30 
 
 239 
 
 ' 8 535 
 
 1029 
 
 2 4 
 
 289 
 
 12318 
 
 1087 
 
 22 
 
 3-39 
 
 ' 2 5954 
 
 1494 
 
 14 
 
 3-89 
 
 93410 
 
 430 
 
 2 9 
 
 240 
 
 84297 
 
 1075 
 
 22 
 
 2 90 
 
 11253 
 
 1042 
 
 2 4 
 
 340 
 
 27462 
 
 1522 
 
 H 
 
 390 
 
 93811 
 
 372 
 
 30 
 
 2-41 
 
 83200 
 
 - 1119 
 
 - 22 
 
 291 
 
 10235 
 
 - 995 
 
 + 24 
 
 341 
 
 28997 
 
 + 1548 
 
 + 13 
 
 3-91 
 
 94153 
 
 + 3i3 
 
 -2 9 
 
 242 
 
 82060 
 
 1 162 
 
 22 
 
 2-92 
 
 09264 
 
 947 
 
 25 
 
 3-42 
 
 30558 
 
 '573 
 
 12 
 
 392 
 
 '94437 
 
 254 
 
 30 
 
 2'43 
 
 80876 
 
 1205 
 
 21 
 
 293 
 
 08342 
 
 896 
 
 26 
 
 3-43 
 
 32142 
 
 '594 
 
 IO 
 
 393 
 
 94661 
 
 194 
 
 30 
 
 2-44 
 
 79651 
 
 1245 
 
 2O 
 
 294 
 
 07472 
 
 846 
 
 2 5 
 
 3-44 
 
 33746 
 
 1614 
 
 IO 
 
 3'94 
 
 94825 
 
 '34 
 
 3 
 
 245 
 
 78387 
 
 1284 
 
 2O 
 
 2-95 
 
 06651 
 
 794 
 
 27 
 
 345 
 
 35370 
 
 1632 
 
 8 
 
 395 
 
 94929 
 
 74 
 
 30 
 
 246 
 
 77084 
 
 -1321 
 
 - 18 
 
 2-96 
 
 05884 
 
 - 74i 
 
 + 26 
 
 3-46 
 
 37009 
 
 + 1647 
 
 + 8 
 
 3-96 
 
 '94973 
 
 + 14 
 
 -30 
 
 2-47 
 
 75746 
 
 1356 
 
 18 
 
 2-97 
 
 05169 
 
 688 
 
 27 
 
 347 
 
 38664 
 
 1661 
 
 6 
 
 3-97 
 
 '94957 
 
 - 46 
 
 30 
 
 2-48 
 
 74373 
 
 1390 
 
 17 
 
 2-98 
 
 04508 
 
 632 
 
 29 
 
 3-48 
 
 H033 1 
 
 1672 
 
 5 
 
 3-98 
 
 94881 
 
 106 
 
 30 
 
 2-49 
 
 72967 
 
 1422 
 
 16 
 
 299 
 
 03905 
 
 577 
 
 2 7 
 
 3-49 
 
 42007 
 
 1680 
 
 4 
 
 3-99 
 
 94746 
 
 163 
 
 28 
 
 2-50 
 
 71530 
 
 -1450 
 
 -'3 
 
 300 
 
 03355 
 
 - 5 22 
 
 + *9 
 
 350 
 
 43691 
 
 + 1687 
 
 + 3 
 
 400 
 
 '94555 
 
 - 220 
 
 -29 
 
 Added Constant : o'48ooo. 
 34 
 
SATELLITE I 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XIII Equations of Longitude XIV 
 
 i 
 
 z 
 
 3 
 
 B 
 
 Equation 
 
 A 
 O d 'OI 
 
 d 
 
 o 
 
 
 000 
 
 0-00300 
 
 + 4, 
 
 05 
 
 320 
 
 3,5 
 
 1O 
 
 336 
 
 2,7 
 
 15 
 
 347 
 
 + 1,0 
 
 2O 
 
 35 
 
 - ,3 
 
 25 
 
 344 
 
 2,0 
 
 030 
 
 0-00329 
 
 - 4,0 
 
 35 
 
 305 
 
 5,5 
 
 40 
 
 273 
 
 7,3 
 
 45 
 
 235 
 
 7,5 
 
 50 
 
 196 
 
 8,0 
 
 0-55 
 
 0-00156 
 
 - 8,0 
 
 6O 
 
 119 
 
 6,8 
 
 65 
 
 88 
 
 5,5 
 
 70 
 
 65 
 
 4, 
 
 75 
 
 5' 
 
 - ',5 
 
 080 
 
 0-00048 
 
 + 0,3 
 
 85 
 
 55 
 
 2,5 
 
 90 
 
 73 
 
 4,3 
 
 95 
 
 IOO 
 
 6,0 
 
 1 00 
 
 '35 
 
 7,7 
 
 1-05 
 
 0-00178 
 
 + 9, 
 
 1O 
 
 224 
 
 9,8 
 
 15 
 
 274 
 
 io,5 
 
 2O 
 
 325 
 
 10,3 
 
 25 
 
 375 
 
 1 0,0 
 
 1 30 
 
 0-00422 
 
 + 9iQ 
 
 35 
 
 464 
 
 8,0 
 
 40 
 
 500 
 
 6,3 
 
 45 
 
 527 
 
 4,5 
 
 50 
 
 545 
 
 2,5 
 
 1-55 
 
 0-00552 
 
 + 0,5 
 
 60 
 
 549 
 
 - 1,8 
 
 65 
 
 535 
 
 3,5 
 
 70 
 
 512 
 
 5,3 
 
 75 
 
 481 
 
 7,o 
 
 1-80 
 
 0*00444 
 
 - 7,8 
 
 85 
 
 405 
 
 8,0 
 
 9O 
 
 365 
 
 8,0 
 
 95 
 
 328 
 
 7,o 
 
 2 00 
 
 296 
 
 5,7 
 
 2 -OS 
 
 0-00272 
 
 - 4, 
 
 1O 
 
 256 
 
 - 2,3 
 
 15 
 
 250 
 
 0,0 
 
 2O 
 
 253 
 
 + ',5 
 
 25 
 
 264 
 
 3,o 
 
 2 30 
 
 0*00280 
 
 + 3,8 
 
 35 
 
 300 
 
 4,o 
 
 40 
 
 319 
 
 3,5 
 
 45 
 
 336 
 
 3,o 
 
 250 
 
 0-00347 
 
 + ',3 
 
 I 
 
 z 
 
 3 
 
 i 
 
 2 
 
 3 
 
 c 
 
 Equation 
 
 A 
 Qd'OI 
 
 C 
 
 Equation 
 
 A 
 Od'OI 
 
 d 
 
 o 
 
 
 d 
 
 o 
 
 
 000 
 
 0-00600 
 
 + 18,9 
 
 1 00 
 
 0-00389 
 
 -'7,4 
 
 02 
 
 638 
 
 1 8,9 
 
 02 
 
 355 
 
 1 6,8 
 
 O4 
 
 675 
 
 8,7 
 
 O4 
 
 322 
 
 ,6,, 
 
 06 
 
 7'3 
 
 18,5 
 
 O6 
 
 290 
 
 '5,4 
 
 OS 
 
 749 
 
 18,1 
 
 08 
 
 260 
 
 '4,5 
 
 10 
 
 785 
 
 '7,7 
 
 10 
 
 232 
 
 '3,7 
 
 0-12 
 
 0-00820 
 
 + 17,2 
 
 112 
 
 0*00206 
 
 -12,8 
 
 14 
 
 854 
 
 16,6 
 
 14 
 
 ill 
 
 ",7 
 
 16 
 
 886 
 
 '5,9 
 
 16 
 
 "59 
 
 10,6 
 
 18 
 
 918 
 
 '5,2 
 
 18 
 
 139 
 
 9,5 
 
 20 
 
 947 
 
 '4,3 
 
 20 
 
 121 
 
 8,3 
 
 0-22 
 
 0-00975 
 
 + 13,4 
 
 1-22 
 
 0-00106 
 
 - 7,' 
 
 24 
 
 IOOI 
 
 12,5 
 
 24 
 
 93 
 
 5,8 
 
 26 
 
 1025 
 
 11,4 
 
 26 
 
 83 
 
 4,5 
 
 28 
 
 1046 
 
 10,3 
 
 28 
 
 75 
 
 3,2 
 
 3O 
 
 1066 
 
 9> 2 
 
 30 
 
 70 
 
 ',9 
 
 32 
 
 o'oio83 
 
 + 8,0 
 
 1-32 
 
 0-00068 
 
 - 0,5 
 
 34 
 
 '97 
 
 6,7 
 
 34 
 
 69 
 
 + 0,8 
 
 36 
 
 1109 
 
 5,5 
 
 36 
 
 7* 
 
 2,* 
 
 38 
 
 1 119 
 
 4,2 
 
 38 
 
 78 
 
 3,5 
 
 4O 
 
 1126 
 
 2,9 
 
 4O 
 
 86 
 
 4,8 
 
 042 
 
 0-01130 
 
 + i,5 
 
 1-42 
 
 0-00097 
 
 + 6,' 
 
 44 
 
 IIJ2 
 
 + 0,2 
 
 44 
 
 IIO 
 
 7,3 
 
 46 
 
 II 3 I 
 
 - 1,2 
 
 46 
 
 126 
 
 8,6 
 
 48 
 
 1127 
 
 2 ,5 
 
 48 
 
 144 
 
 9,7 
 
 50 
 
 1121 
 
 3,8 
 
 so 
 
 165 
 
 10,9 
 
 52 
 
 O'OI 112 
 
 - 5,i 
 
 1-52 
 
 0-00188 
 
 + 11,9 
 
 54 
 
 I IOI 
 
 6,4 
 
 54 
 
 212 
 
 12,9 
 
 56 
 
 1087 
 
 7,7 
 
 56 
 
 239 
 
 '3,9 
 
 58 
 
 1070 
 
 8,9 
 
 58 
 
 268 
 
 '4,7 
 
 60 
 
 IOJI 
 
 1 0,0 
 
 6O 
 
 298 
 
 '5,5 
 
 0-62 
 
 O-OIO30 
 
 -n, i 
 
 1 62 
 
 O'OO330 
 
 + '6,3 
 
 64 
 
 IOO7 
 
 12,2 
 
 64 
 
 363 
 
 16,9 
 
 66 
 
 981 
 
 13,2 
 
 66 
 
 398 
 
 '7,5 
 
 68 
 
 954 
 
 '4-' 
 
 68 
 
 432 
 
 '7,9 
 
 7O 
 
 925 
 
 15,0 
 
 70 
 
 468 
 
 '8,3 
 
 O-72 
 
 0-00894 
 
 -'5,7 
 
 1-72 
 
 0-00506 
 
 MM 
 
 74 
 
 862 
 
 1 6,4 
 
 74 
 
 543 
 
 18,8 
 
 76 
 
 829 
 
 '7,i 
 
 76 
 
 580 
 
 1 8,9 
 
 78 
 
 794 
 
 17,6 
 
 78 
 
 618 
 
 1 8,0 
 
 so 
 
 75 
 
 1 8,0 
 
 80 
 
 656 
 
 18,8 
 
 0-82 
 
 0-00722 
 
 -i 8,4 
 
 1 82 
 
 0-00693 
 
 + 18,6 
 
 84 
 
 685 
 
 1 8,7 
 
 84 
 
 730 
 
 '8,3 
 
 86 
 
 647 
 
 18,8 
 
 86 
 
 767 
 
 18,0 
 
 88 
 
 609 
 
 1 8,9 
 
 88 
 
 802 
 
 '7,5 
 
 90 
 
 572 
 
 1 8,9 
 
 9O 
 
 836 
 
 16,9 
 
 92 
 
 0-00534 
 
 -i 8,7 
 
 1-92 
 
 0-00870 
 
 + '6,3 
 
 94 
 
 497 
 
 18,5 
 
 94 
 
 902 
 
 15,6 
 
 96 
 
 460 
 
 18,2 
 
 96 
 
 932 
 
 14,8 
 
 98 
 
 424 
 
 17,8 
 
 98 
 
 961 
 
 '3,9 
 
 1 00 
 
 0-00389 
 
 -'7,4 
 
 2 00 
 
 0-00987 
 
 + 13, 
 
 Added Constant : o'- 
 
 Added Constant : o-oo6oo. 
 
 35 
 
SATELLITE I 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XV Equations of Longitude XVI 
 
 I 
 
 2 
 
 3 
 
 i 
 
 I 
 
 3 
 
 D 
 
 Equation 
 
 A 
 Od'OI 
 
 D 
 
 Equation 
 
 A 
 O<t-OI 
 
 d 
 
 O 
 
 
 d 
 
 O 
 
 
 000 
 
 0^00500 
 
 + 15,1 
 
 1-00 
 
 0-00330 
 
 -13,9 
 
 02 
 
 53 
 
 '5,i 
 
 02 
 
 303 
 
 13.4 
 
 O4 
 
 560 
 
 '4,9 
 
 O4 
 
 276 
 
 12,9 
 
 O6 
 
 590 
 
 14,8 
 
 06 
 
 251 
 
 12,3 
 
 08 
 
 619 
 
 4,5 
 
 08 
 
 227 
 
 11,6 
 
 10 
 
 648 
 
 H, ' 
 
 10 
 
 205 
 
 10,9 
 
 012 
 
 0-00676 
 
 + 13,7 
 
 1 12 
 
 0-00184 
 
 - 10,1 
 
 14 
 
 703 
 
 '3,3 
 
 14 
 
 164 
 
 9,3 
 
 16 
 
 729 
 
 12,7 
 
 16 
 
 '47 
 
 8,5 
 
 18 
 
 754 
 
 12,1 
 
 18 
 
 131 
 
 7,5 
 
 20 
 
 777 
 
 u,5 
 
 2O 
 
 117 
 
 6,6 
 
 O 22 
 
 0-00799 
 
 + 10,7 
 
 1-22 
 
 0-00104 
 
 - 5,6 
 
 24 
 
 820 
 
 1 0,0 
 
 24 
 
 94 
 
 4,6 
 
 26 
 
 839 
 
 9- 1 
 
 26 
 
 86 
 
 3,6 
 
 28 
 
 857 
 
 8,2 
 
 28 
 
 80 
 
 2,5 
 
 SO 
 
 872 
 
 7,3 
 
 SO 
 
 76 
 
 ',5 
 
 O 32 
 
 0-00886 
 
 + 6,4 
 
 1 32 
 
 0-00074 
 
 - 0,4 
 
 34 
 
 898 
 
 5,4 
 
 34 
 
 74 
 
 + 0,7 
 
 36 
 
 907 
 
 4,4 
 
 36 
 
 76 
 
 1,8 
 
 38 
 
 9'5 
 
 3,3 
 
 38 
 
 ll 
 
 2,8 
 
 4O 
 
 921 
 
 z,3 
 
 4O 
 
 88 
 
 3,9 
 
 042 
 
 0-00924 
 
 + ',2 
 
 1 42 
 
 0-00097 
 
 + 4,9 
 
 44 
 
 925 
 
 + 0,1 
 
 44 
 
 107 
 
 5,9 
 
 46 
 
 924 
 
 - 1,0 
 
 46 
 
 120 
 
 6,9 
 
 48 
 
 921 
 
 2,0 
 
 48 
 
 35 
 
 7,8 
 
 BO 
 
 916 
 
 3,i 
 
 50 
 
 '5' 
 
 8,7 
 
 O-52 
 
 0-00909 
 
 - 4,' 
 
 1-52 
 
 0-00170 
 
 + 9, 6 
 
 54 
 
 900 
 
 5,' 
 
 54 
 
 190 
 
 10,4 
 
 56 
 
 889 
 
 6,1 
 
 56 
 
 21 I 
 
 11, i 
 
 58 
 
 875 
 
 7,' 
 
 58 
 
 234 
 
 11,8 
 
 6O 
 
 860 
 
 8,0 
 
 60 
 
 2 5 8 
 
 '*,5 
 
 O 62 
 
 0-00843 
 
 - 8,9 
 
 1-62 
 
 O'OO284 
 
 + 13,0 
 
 64 
 
 825 
 
 9,8 
 
 64 
 
 310 
 
 >3,5 
 
 66 
 
 804 
 
 "0,5 
 
 66 
 
 338 
 
 U-o 
 
 68 
 
 783 
 
 ",3 
 
 68 
 
 367 
 
 H,4 
 
 7O 
 
 7S9 
 
 12,0 
 
 7O 
 
 39 6 
 
 1 4,6 
 
 72 
 
 0-00735 
 
 -iz,7 
 
 1 72 
 
 0-00425 
 
 + '4,9 
 
 74 
 
 709 
 
 13,2 
 
 74 
 
 455 
 
 i5,o 
 
 76 
 
 682 
 
 13,6 
 
 76 
 
 485 
 
 J5," 
 
 78 
 
 654 
 
 14,1 
 
 78 
 
 516 
 
 IS,' 
 
 80 
 
 626 
 
 H,4 
 
 80 
 
 546 
 
 15,0 
 
 082 
 
 0-00597 
 
 -4,7 
 
 1-82 
 
 0-00576 
 
 + '4,9 
 
 84 
 
 567 
 
 H,9 
 
 84 
 
 605 
 
 14,6 
 
 86 
 
 537 
 
 'S.i 
 
 86 
 
 634 
 
 H,3 
 
 88 
 
 507 
 
 i5,i 
 
 88 
 
 663 
 
 14,0 
 
 90 
 
 477 
 
 i5,i 
 
 90 
 
 690 
 
 13,5 
 
 092 
 
 0-00446 
 
 -15,0 
 
 1-92 
 
 0^00717 
 
 + 13,0 
 
 94 
 
 4>7 
 
 14,8 
 
 94 
 
 742 
 
 12,4 
 
 96 
 
 387 
 
 14,6 
 
 96 
 
 766 
 
 11,8 
 
 98 
 
 358 
 
 14,2 
 
 98 
 
 789 
 
 11, i 
 
 1 00 
 
 0-00330 
 
 -13,9 
 
 2 00 
 
 0-0081 1 
 
 + i,3 
 
 i 
 
 2 
 
 3 
 
 E 
 
 Equation 
 
 A 
 O d 'OI 
 
 d 
 
 O 
 
 
 000 
 
 O'OO2OO 
 
 + 6,8 
 
 04 
 
 227 
 
 6,7 
 
 OS 
 
 253 
 
 6,5 
 
 12 
 
 279 
 
 6,2 
 
 16 
 
 302 
 
 5,7 
 
 20 
 
 324 
 
 5,i 
 
 O24 
 
 0-00343 
 
 + 4,4 
 
 28 
 
 359 
 
 3,7 
 
 32 
 
 372 
 
 2,8 
 
 36 
 
 382 
 
 '.9 
 
 40 
 
 388 
 
 1,0 
 
 044 
 
 0-00390 
 
 + 0,1 
 
 48 
 
 389 
 
 - 0,9 
 
 52 
 
 383 
 
 1,8 
 
 56 
 
 374 
 
 2,7 
 
 60 
 
 361 
 
 3,6 
 
 64 
 
 0-00345 
 
 - 4,4 
 
 68 
 
 326 
 
 5,' 
 
 72 
 
 305 
 
 5,6 
 
 76 
 
 281 
 
 6, 
 
 80 
 
 256 
 
 6,4 
 
 084 
 
 0-00230 
 
 - 6,7 
 
 88 
 
 203 
 
 6,8 
 
 92 
 
 176 
 
 6,7 
 
 96 
 
 150 
 
 6,5 
 
 1 00 
 
 124 
 
 6,2 
 
 1 04 
 
 o-ooioo 
 
 - 5,7 
 
 08 
 
 78 
 
 5,2 
 
 12 
 
 59 
 
 4,5 
 
 16 
 
 42 
 
 3,8 
 
 2O 
 
 29 
 
 2,9 
 
 1 24 
 
 0-00019 
 
 - 2,0 
 
 28 
 
 12 
 
 1,1 
 
 32 
 
 10 
 
 - 0,2 
 
 36 
 
 I I 
 
 + 0,8 
 
 4O 
 
 16 
 
 1,7 
 
 1-44 
 
 0-00025 
 
 + 2,6 
 
 48 
 
 37 
 
 3,5 
 
 52 
 
 53 
 
 4,3 
 
 56 
 
 7i 
 
 5,o 
 
 6O 
 
 92 
 
 56 
 
 1 64 
 
 o'ooi 1 6 
 
 + 6,1 
 
 68 
 
 "4 1 
 
 6,4 
 
 72 
 
 167 
 
 6,7 
 
 76 
 
 194 
 
 6,8 
 
 80 
 
 221 
 
 6,7 
 
 1 84 
 
 O-OO248 
 
 + 6,5 
 
 88 
 
 273 
 
 6,2 
 
 92 
 
 2 97 
 
 5,8 
 
 96 
 
 319 
 
 5,3 
 
 200 
 
 0-00339 
 
 + 4,6 
 
 Added Constant : o"'oo5oo. 
 
 Added Constant o ; *oo2oo. 
 
SATELLITE I 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XVII 
 
 Equations of Longitude 
 
 XVIII 
 
 I 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 F 
 
 Equation 
 
 A 
 
 I* 
 
 F 
 
 Equation 
 
 A 
 
 f 
 
 d 
 
 o 
 
 
 d 
 
 o 
 
 
 o 
 
 0-00800 
 
 - u,3 
 
 25O 
 
 0-01303 
 
 + 8,1 
 
 5 
 
 743 
 
 11,2 
 
 255 
 
 1342 
 
 7,4 
 
 10 
 
 688 
 
 II, I 
 
 260 
 
 1377 
 
 6,8 
 
 15 
 
 631 
 
 11,0 
 
 265 
 
 1409 
 
 6,0 
 
 20 
 
 579 
 
 10,7 
 
 270 
 
 1437 
 
 5,3 
 
 25 
 
 525 
 
 10,4 
 
 275 
 
 1462 
 
 4,5 
 
 30 
 
 0-00474 
 
 1 0,0 
 
 28O 
 
 0-01481 
 
 + 3,6 
 
 35 
 
 4 2 5 
 
 9,7 
 
 285 
 
 1498 
 
 2,8 
 
 4O 
 
 378 
 
 9, 1 
 
 290 
 
 1509 
 
 1,9 
 
 45 
 
 334 
 
 8,6 
 
 295 
 
 1517 
 
 1,1 
 
 SO 
 
 293 
 
 8,0 
 
 3OO 
 
 1520 
 
 + 0,1 
 
 55 
 
 0-00254 
 
 - 7,3 
 
 3O5 
 
 0-01518 
 
 - 0,8 
 
 60 
 
 219 
 
 6,6 
 
 310 
 
 1513 
 
 1,6 
 
 65 
 
 188 
 
 5,9 
 
 315 
 
 1502 
 
 2,5 
 
 7O 
 
 160 
 
 5, 2 
 
 32O 
 
 1488 
 
 3,3 
 
 75 
 
 .36 
 
 4,4 
 
 325 
 
 1469 
 
 4,2 
 
 80 
 
 o'oon6 
 
 3,5 
 
 330 
 
 0-01446 
 
 5, 
 
 85 
 
 101 
 
 2,7 
 
 335 
 
 1419 
 
 5,7 
 
 9O 
 
 90 
 
 1,8 
 
 340 
 
 1389 
 
 6,5 
 
 95 
 
 83 
 
 - o,9 
 
 345 
 
 1355 
 
 7,2 
 
 100 
 
 80 
 
 0,0 
 
 35O 
 
 1317 
 
 7,8 
 
 105 
 
 0-00082 
 
 + 0,8 
 
 355 
 
 0-01277 
 
 - 8,5 
 
 110 
 
 88 
 
 1,7 
 
 36O 
 
 1233 
 
 9, 
 
 115 
 
 98 
 
 2,6 
 
 365 
 
 1187 
 
 9,5 
 
 120 
 
 "3 
 
 3,4 
 
 370 
 
 1138 
 
 10,0 
 
 125 
 
 '33 
 
 4,3 
 
 375 
 
 1087 
 
 10,3 
 
 13O 
 
 0-00156 
 
 + 5, 
 
 380 
 
 0-01035 
 
 - 10,7 
 
 135 
 
 184 
 
 5,9 
 
 385 
 
 981 
 
 10,9 
 
 140 
 
 215 
 
 6,6 
 
 39O 
 
 926 
 
 11,1 
 
 145 
 
 249 
 
 7,3 
 
 395 
 
 870 
 
 11,2 
 
 150 
 
 287 
 
 8,0 
 
 40O 
 
 813 
 
 n,3 
 
 155 
 
 0-00328 
 
 + 8,5 
 
 405 
 
 0-00757 
 
 - H,2 
 
 16O 
 
 372 
 
 9>> 
 
 41 
 
 701 
 
 11,2 
 
 165 
 
 418 
 
 9,6 
 
 415 
 
 645 
 
 11,0 
 
 17O 
 
 468 
 
 10,0 
 
 42O 
 
 59 1 
 
 10,8 
 
 175 
 
 518 
 
 10,4 
 
 425 
 
 537 
 
 ',5 
 
 180 
 
 0-00572 
 
 + 10,7 
 
 43O 
 
 0-00486 
 
 - 10,1 
 
 185 
 
 626 
 
 10,9 
 
 435 
 
 436 
 
 9,7 
 
 19O 
 
 681 
 
 11,2 
 
 44O 
 
 389 
 
 9,3 
 
 195 
 
 737 
 
 11,2 
 
 445 
 
 344 
 
 8,7 
 
 20O 
 
 793 
 
 n,3 
 
 450 
 
 302 
 
 8,1 
 
 2O5 
 
 0-00850 
 
 + 11,2 
 
 455 
 
 0-00262 
 
 - 7,5 
 
 21O 
 
 906 
 
 11,2 
 
 460 
 
 227 
 
 6,8 
 
 215 
 
 961 
 
 11,0 
 
 465 
 
 '95 
 
 6,1 
 
 22O 
 
 1015 
 
 10,7 
 
 47O 
 
 166 
 
 5-4 
 
 225 
 
 1069 
 
 10,5 
 
 475 
 
 141 
 
 4,5 
 
 23O 
 
 O-OI120 
 
 + 10,1 
 
 480 
 
 O'OOI2O 
 
 3,7 
 
 235 
 
 II7O 
 
 9,7 
 
 485 
 
 104 
 
 2,9 
 
 24O 
 
 1216 
 
 9, 2 
 
 490 
 
 9* 
 
 2,0 
 
 245 
 
 1261 
 
 8,6 
 
 495 
 
 84 
 
 ',! 
 
 25O i 0-01303 
 
 + 8,1 
 
 500 
 
 o'oooSi 
 
 - 0,2 
 
 I 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 G 
 
 Equation 
 
 A 
 I* 
 
 G 
 
 Equation 
 
 A 
 I* 
 
 d 
 
 
 
 
 d 
 
 
 
 
 
 
 O-OO40O 
 
 + 5,4 
 
 250 
 
 0-00287 
 
 - 5,2 
 
 5 
 
 427 
 
 5,4 
 
 255 
 
 261 
 
 5, 
 
 1O 
 
 454 
 
 5,4 
 
 26O 
 
 237 
 
 4,9 
 
 15 
 
 481 
 
 5,3 
 
 265 
 
 212 
 
 4,8 
 
 2O 
 
 S7 
 
 5,2 
 
 270 
 
 189 
 
 4,6 
 
 25 
 
 533 
 
 5,i 
 
 275 
 
 I6 7 
 
 4>4 
 
 30 
 
 0-00558 
 
 + 4,9 
 
 280 
 
 0-OOI46 
 
 4,' 
 
 35 
 
 582 
 
 4,8 
 
 285 
 
 125 
 
 3,9 
 
 4O 
 
 606 
 
 4,6 
 
 290 
 
 I O6 
 
 3,6 
 
 45 
 
 629 
 
 4,4 
 
 295 
 
 8 9 
 
 3,3 
 
 50 
 
 650 
 
 4,2 
 
 30O 
 
 73 
 
 3,o 
 
 55 
 
 0-00670 
 
 + 4,0 
 
 305 
 
 0-00059 
 
 - *,7 
 
 60 
 
 689 
 
 3,7 
 
 31 
 
 46 
 
 2,4 
 
 65 
 
 707 
 
 3,4 
 
 315 
 
 35 
 
 2,1 
 
 70 
 
 723 
 
 3,i 
 
 32O 
 
 26 
 
 i,7 
 
 75 
 
 738 
 
 2,8 
 
 325 
 
 18 
 
 '-3 
 
 80 
 
 0-00751 
 
 + 2,5 
 
 330 
 
 0-00013 
 
 - 1,0 
 
 85 
 
 763 
 
 2,2 
 
 335 
 
 8 
 
 0,6 
 
 9O 
 
 772 
 
 1,8 
 
 340 
 
 7 
 
 - 0,3 
 
 95 
 
 78i 
 
 i,4 
 
 345 
 
 6 
 
 + 0,1 
 
 1OO 
 
 786 
 
 1,1 
 
 350 
 
 8 
 
 o,5 
 
 1O5 
 
 0-00791 
 
 + 0,7 
 
 355 
 
 o-oooii 
 
 + 0,9 
 
 110 
 
 793 
 
 + 0,4 
 
 360 
 
 16 
 
 >,* 
 
 115 
 
 794 
 
 0,0 
 
 365 
 
 23 
 
 1,6 
 
 12O 
 
 793 
 
 - 0,4 
 
 370 
 
 32 
 
 2,0 
 
 125 
 
 790 
 
 0,8 
 
 375 
 
 43 
 
 2,3 
 
 130 
 
 0-007 8 5 
 
 - I,' 
 
 38O 
 
 0-00055 
 
 + 2,6 
 
 135 
 
 778 
 
 ',5 
 
 385 
 
 69 
 
 2,9 
 
 140 
 
 770 
 
 1,8 
 
 39O 
 
 84 
 
 3,2 
 
 145 
 
 759 
 
 2,2 
 
 395 
 
 IOI 
 
 3,6 
 
 150 
 
 748 
 
 2,5 
 
 400 
 
 120 
 
 3,8 
 
 155 
 
 0-00735 
 
 2,9 
 
 405 
 
 0-OOI39 
 
 + 4,0 
 
 160 
 
 720 
 
 3,2 
 
 41 
 
 I 60 
 
 4,3 
 
 165 
 
 73 
 
 3,5 
 
 415 
 
 182 
 
 4,5 
 
 170 
 
 685 
 
 3,8 
 
 420 
 
 205 
 
 4,7 
 
 175 
 
 666 
 
 4, 
 
 425 
 
 22 9 
 
 4,9 
 
 180 
 
 0-00645 
 
 4, 2 
 
 430 
 
 O-OO254 
 
 + 5,o 
 
 185 
 
 624 
 
 4,5 
 
 435 
 
 279 
 
 5,2 
 
 190 
 
 600 
 
 4,7 
 
 44O 
 
 305 
 
 5,3 
 
 195 
 
 577 
 
 4,8 
 
 445 
 
 332 
 
 5,4 
 
 2OO 
 
 552 
 
 5, 
 
 450 
 
 359 
 
 5,4 
 
 2O5 
 
 0-00527 
 
 5,2 
 
 455 
 
 0-00386 
 
 + 5,4 
 
 21O 
 
 501 
 
 5,3 
 
 46O 
 
 4'3 
 
 5,4 
 
 215 
 
 475 
 
 5,3 
 
 465 
 
 440 
 
 5,4 
 
 220 
 
 448 
 
 5,4 
 
 470 
 
 466 
 
 5,3 
 
 225 
 
 421 
 
 5,4 
 
 475 
 
 493 
 
 5,3 
 
 23O 
 
 0-00394 
 
 5,4 
 
 480 
 
 0-00519 
 
 + 5,2 
 
 235 
 
 366 
 
 5,4 
 
 485 
 
 545 
 
 5,o 
 
 240 
 
 34 
 
 5,4 
 
 490 
 
 569 
 
 4,9 
 
 245 
 
 3'3 
 
 5,3 
 
 495 
 
 593 
 
 4,7 
 
 25O 
 
 0-00287 
 
 - 5,2 
 
 500 
 
 0-00616 
 
 + 4,5 
 
 Added Constant : o" -00800. 
 
 Added Constant : o '00400. 
 
 37 
 
SATELLITE I 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XIX Equations of Longitude XX 
 
 I 
 
 1 
 
 3 
 
 i 
 
 2 
 
 3 
 
 H 
 
 Equation 
 
 A 
 I< 
 
 H 
 
 Equation 
 
 A 
 Id 
 
 d 
 
 
 
 
 d 
 
 o 
 
 
 o 
 
 O'OIOOO 
 
 + 11,8 
 
 25O 
 
 0-00896 
 
 -",7 
 
 5 
 
 1059 
 
 11,8 
 
 255 
 
 837 
 
 11,6 
 
 1O 
 
 till 
 
 '1,7 
 
 260 
 
 780 
 
 11,4 
 
 15 
 
 1176 
 
 .1,6 
 
 265 
 
 723 
 
 11,2 
 
 2O 
 
 1*33 
 
 ",4 
 
 270 
 
 667 
 
 11,0 
 
 25 
 
 1290 
 
 11,2 
 
 275 
 
 613 
 
 10,7 
 
 30 
 
 0*01346 
 
 + 10,9 
 
 28O 
 
 0-00561 
 
 -i,3 
 
 35 
 
 '399 
 
 10,6 
 
 285 
 
 510 
 
 9,9 
 
 40 
 
 1451 
 
 10,2 
 
 290 
 
 462 
 
 9,5 
 
 45 
 
 1502 
 
 9,8 
 
 295 
 
 416 
 
 9> 
 
 50 
 
 '549 
 
 9,4 
 
 3OO 
 
 372 
 
 8,5 
 
 55 
 
 0-01595 
 
 + 8,9 
 
 305 
 
 0*00331 
 
 - 8,0 
 
 60 
 
 1638 
 
 8,4 
 
 31O 
 
 292 
 
 7,3 
 
 65 
 
 1678 
 
 7,8 
 
 315 
 
 257 
 
 6,7 
 
 7O 
 
 1716 
 
 7,2 
 
 32O 
 
 2*5 
 
 6,1 
 
 75 
 
 1751 
 
 6,6 
 
 325 
 
 196 
 
 5,4 
 
 80 
 
 0-01782 
 
 + 5,9 
 
 33O 
 
 0-OOI7I 
 
 - 4,8 
 
 85 
 
 1810 
 
 5,3 
 
 335 
 
 149 
 
 4,o 
 
 90 
 
 i835 
 
 4,6 
 
 34O 
 
 130 
 
 3,3 
 
 95 
 
 1856 
 
 3,9 
 
 345 
 
 "5 
 
 2,6 
 
 1OO 
 
 1873 
 
 3,i 
 
 350 
 
 105 
 
 1,8 
 
 1O5 
 
 0-01887 
 
 + 2,4 
 
 355 
 
 0*00098 
 
 - ',0 
 
 110 
 
 1897 
 
 1,6 
 
 360 
 
 95 
 
 - 0,3 
 
 115 
 
 1903 
 
 >9 
 
 365 
 
 95 
 
 + ,5 
 
 12O 
 
 1906 
 
 + 0,1 
 
 37O 
 
 IOO 
 
 i,3 
 
 125 
 
 1904 
 
 - 0,7 
 
 375 
 
 108 
 
 2,0 
 
 130 
 
 0-01899 
 
 - i,4 
 
 380 
 
 O*OO I 2C 
 
 + 2,8 
 
 135 
 
 1890 
 
 2,2 
 
 385 
 
 I 3 6 
 
 3,5 
 
 140 
 
 1877 
 
 2,9 
 
 39O 
 
 155 
 
 4,2 
 
 145 
 
 1861 
 
 3,7 
 
 395 
 
 178 
 
 5,o 
 
 150 
 
 1840 
 
 4,4 
 
 400 
 
 204 
 
 5,6 
 
 155 
 
 0-018 1 6 
 
 - 5,i 
 
 405 
 
 0*00234 
 
 + 6,3 
 
 16O 
 
 1789 
 
 5,8 
 
 410 
 
 268 
 
 6,9 
 
 165 
 
 '759 
 
 6,5 
 
 415 
 
 303 
 
 7,5 
 
 170 
 
 1724 
 
 7,i 
 
 42O 
 
 343 
 
 8,1 
 
 175 
 
 1688 
 
 7,7 
 
 425 
 
 385 
 
 8,6 
 
 180 
 
 0-01648 
 
 - 8,2 
 
 43O 
 
 0*00430 
 
 + 9,* 
 
 185 
 
 1605 
 
 8,8 
 
 435 
 
 476 
 
 9-6 
 
 19O 
 
 1560 
 
 9,3 
 
 440 
 
 526 
 
 1 0,0 
 
 195 
 
 1513 
 
 9,7 
 
 445 
 
 577 
 
 10,4 
 
 2OO 
 
 1463 
 
 10,1 
 
 45O 
 
 630 
 
 10,8 
 
 205 
 
 0*01411 
 
 -10,5 
 
 455 
 
 0*00685 
 
 + 11,1 
 
 21O 
 
 1358 
 
 10,8 
 
 460 
 
 74" 
 
 u,3 
 
 215 
 
 1303 
 
 11,1 
 
 465 
 
 797 
 
 ",5 
 
 220 
 
 1246 
 
 >i,3 
 
 470 
 
 855 
 
 11,6 
 
 225 
 
 1 190 
 
 ", 5 
 
 475 
 
 914 
 
 n,7 
 
 23O 
 
 0-01131 
 
 -u,7 
 
 48O 
 
 0*00973 
 
 + 11,8 
 
 235 
 
 1073 
 
 11,8 
 
 485 
 
 1032 
 
 11,8 
 
 24O 
 
 1014 
 
 ",8 
 
 490 
 
 1091 
 
 ii,7 
 
 245 
 
 954 
 
 11,8 
 
 495 
 
 1150 
 
 11,6 
 
 250 
 
 0*00896 
 
 -",7 
 
 5OO 
 
 0-01207 
 
 + u,5 
 
 i 
 
 l 
 
 3 
 
 i 
 
 z 
 
 3 
 
 1 
 
 Equation 
 
 A 
 I* 
 
 1 
 
 Equation 
 
 A 
 
 Id 
 
 d 
 
 o 
 
 
 d 
 
 o 
 
 
 
 
 0-00400 
 
 + 4,6 
 
 25O 
 
 0*00367 
 
 - 4,6 
 
 5 
 
 423 
 
 4,6 
 
 255 
 
 344 
 
 4,5 
 
 10 
 
 446 
 
 4,6 
 
 26O 
 
 322 
 
 4,5 
 
 15 
 
 469 
 
 4,5 
 
 265 
 
 299 
 
 4,4 
 
 2O 
 
 49 ! 
 
 4,4 
 
 270 
 
 278 
 
 4,4 
 
 25 
 
 5i3 
 
 4,4 
 
 275 
 
 257 
 
 4,2 
 
 3O 
 
 0*00534 
 
 + 4,2 
 
 280 
 
 0*00236 
 
 - 4,' 
 
 35 
 
 555 
 
 4,' 
 
 285 
 
 216 
 
 3,9 
 
 4O 
 
 575 
 
 4, 
 
 29O 
 
 197 
 
 3,8 
 
 45 
 
 595 
 
 3,8 
 
 295 
 
 178 
 
 3,6 
 
 50 
 
 613 
 
 3,6 
 
 300 
 
 161 
 
 3,4 
 
 55 
 
 0-00632 
 
 + 3,5 
 
 3O5 
 
 0*00145 
 
 - 3,2 
 
 6O 
 
 648 
 
 3,3 
 
 310 
 
 130 
 
 3,o 
 
 65 
 
 664 
 
 3,i 
 
 315 
 
 "5 
 
 2,7 
 
 70 
 
 679 
 
 2,8 
 
 320 
 
 IO2 
 
 2,5 
 
 75 
 
 693 
 
 2,6 
 
 325 
 
 9 
 
 2,2 
 
 80 
 
 0*00704 
 
 + 2,3 
 
 330 
 
 O'OOOSO 
 
 - 2,0 
 
 85 
 
 716 
 
 2,1 
 
 335 
 
 7' 
 
 ',7 
 
 90 
 
 725 
 
 1,8 
 
 34O 
 
 63 
 
 i,4 
 
 95 
 
 734 
 
 ',5 
 
 345 
 
 57 ',' 
 
 1OO 
 
 74' 
 
 ',3 
 
 35O 
 
 52 0,8 
 
 1O5 
 
 0-00746 
 
 + 1,0 
 
 355 
 
 0*00048 - 0,6 
 
 110 
 
 750 
 
 ,7 
 
 36O 
 
 46 
 
 - 0,3 
 
 115 
 
 753 
 
 0,4 
 
 365 
 
 46 
 
 0,0 
 
 12O 
 
 754 
 
 + 0,1 
 
 37O 
 
 47 
 
 + 0,3 
 
 125 
 
 754 
 
 - 0,2 
 
 375 
 
 49 
 
 0,6 
 
 ISO 
 
 0*00752 
 
 - o-5 
 
 380 
 
 0*00053 
 
 + 0,9 
 
 135 
 
 749 
 
 0,8 
 
 385 
 
 58 
 
 ',2 
 
 140 
 
 744 
 
 1,1 
 
 39O 
 
 65 
 
 ',5 
 
 145 
 
 738 
 
 ',4 
 
 395 
 
 74 
 
 ',8 
 
 150 
 
 730 
 
 ',7 
 
 4OO 
 
 83 
 
 2,0 
 
 155 
 
 0*00721 
 
 - ',9 
 
 405 
 
 0*00094 
 
 + 2,3 
 
 160 
 
 7" 
 
 2,2 
 
 41 
 
 1 06 
 
 2,6 
 
 165 
 
 700 
 
 2,5 
 
 415 
 
 119 
 
 2,8 
 
 17O 
 
 686 
 
 2,7 
 
 42O 
 
 '34 
 
 3,0 
 
 175 
 
 672 
 
 2,9 
 
 425 
 
 150 
 
 3,3 
 
 180 
 
 0*00657 
 
 - 3,2 
 
 43O 0*00166 
 
 + 3,4 
 
 185 
 
 641 
 
 3,4 
 
 435 
 
 184 
 
 3,6 
 
 19O 
 
 623 
 
 3,5 
 
 44O 
 
 203 
 
 3,8 
 
 195 
 
 606 
 
 3,7 
 
 445 
 
 223 
 
 4,o 
 
 200 
 
 586 
 
 3,9 
 
 45O 
 
 243 
 
 4,' 
 
 205 
 
 0*00566 
 
 - 4,' 
 
 455 
 
 0*00264 
 
 + 4,2 
 
 21O 
 
 546 
 
 4,2 
 
 46O 
 
 285 
 
 4,3 
 
 215 
 
 5*5 
 
 4,3 
 
 465 
 
 37 
 
 4,4 
 
 220 
 
 503 
 
 4-4 
 
 470 
 
 329 
 
 4,5 
 
 225 
 
 481 
 
 4,5 
 
 475 
 
 35' 
 
 4,6 
 
 23O 
 
 0*00458 
 
 - 4,5 
 
 480 
 
 0*00374 
 
 + 4,6 
 
 235 
 
 436 
 
 4,6 
 
 485 
 
 397 
 
 4,6 
 
 240 
 
 4'3 
 
 4,6 
 
 490 
 
 420 
 
 4,6 
 
 245 
 
 389 
 
 4,6 
 
 495 
 
 443 
 
 4,6 
 
 250 
 
 0*00367 
 
 - 4,6 
 
 50O 
 
 0*00466 
 
 + 4,5 
 
 Added Constant : o'-oiooo. 
 
 Added Constant : o''oo4oo. 
 
SATELLITE I 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 p 
 
 XXI Equation of Longitude Argument J 
 
 I 
 
 2 
 
 3 
 
 i 
 
 z 
 
 3 
 
 i 
 
 z 
 
 3 
 
 i 
 
 z 
 
 3 
 
 J 
 
 Equation 
 
 A 
 
 oy-i 
 
 J 
 
 Equation 
 
 A 
 
 oy-i 
 
 J 
 
 Equation 
 
 A 
 
 oy-j 
 
 J 
 
 Equation 
 
 A 
 
 oy-i 
 
 
 o 
 
 
 
 o 
 
 
 
 o 
 
 
 
 o 
 
 
 18500 
 
 0-00576 
 
 - 1,8 
 
 18600 
 
 0-00304 
 
 - i,5 
 
 18700 
 
 0-00488 
 
 3,3 
 
 1880 
 
 0*00614 
 
 - 9,8 
 
 2 
 
 576 
 
 + 1,8 
 
 2 
 
 303 
 
 + 0,8 
 
 2 
 
 480 
 
 4,5 
 
 2 
 
 594 
 
 9,5 
 
 4 
 
 583 
 
 4.3 
 
 4 
 
 307 
 
 2 ,5 
 
 4 
 
 470 
 
 5,o 
 
 4 
 
 577 
 
 8,5 
 
 6 
 
 593 
 
 4,8 
 
 6 
 
 313 
 
 4,5 
 
 6 
 
 460 
 
 6,0 
 
 6 
 
 560 
 
 7,3 
 
 8 
 
 602 
 
 5,3 
 
 8 
 
 325 
 
 6,3 
 
 8 
 
 446 
 
 7,8 
 
 '8 
 
 548 
 
 5,8 
 
 1851 
 
 0-00614 
 
 + 6,0 
 
 1861 
 
 0-00338 
 
 + 7,5 
 
 1871 
 
 0-00429 
 
 - 8,8 
 
 1881 
 
 0*00537 
 
 - 5,3 
 
 2 
 
 626 
 
 6,3 
 
 2 
 
 355 
 
 9.5 
 
 2 
 
 411 
 
 8,8 
 
 2 
 
 527 
 
 4,o 
 
 4 
 
 639 
 
 7,3 
 
 4 
 
 376 
 
 10,3 
 
 4 
 
 394 
 
 8,3 
 
 4 
 
 521 
 
 3,8 
 
 6 
 
 655 
 
 8,5 
 
 6 
 
 39 6 
 
 -0,5 
 
 6 
 
 378 
 
 8,3 
 
 6 
 
 5'2 
 
 3,o 
 
 8 
 
 673 
 
 8,8 
 
 8 
 
 418 
 
 12,0 
 
 8 
 
 361 
 
 8,8 
 
 8 
 
 509 
 
 1,0 
 
 18520 
 
 0-00690 
 
 + 8,5 
 
 1862 
 
 0-00444 
 
 + 13,5 
 
 1872 
 
 0-00343 
 
 - 8,8 
 
 18820 
 
 0-00508 
 
 - 0,8 
 
 2 
 
 707 
 
 8,0 
 
 2 
 
 472 
 
 >3,5 
 
 2 
 
 326 
 
 7,3 
 
 -2 
 
 506 
 
 - 0,8 
 
 4 
 
 722 
 
 7,8 
 
 4 
 
 498 
 
 12,8 
 
 4 
 
 3H 
 
 5,3 
 
 4 
 
 505 
 
 + 0,3 
 
 6 
 
 738 
 
 7,3 
 
 6 
 
 5*3 
 
 12,3 
 
 6 
 
 35 
 
 3,5 
 
 *6 
 
 507 
 
 0,8 
 
 8 
 
 75' 
 
 6,3 
 
 8 
 
 547 
 
 12,0 
 
 8 
 
 300 
 
 - i,5 
 
 *8 
 
 508 
 
 0,8 
 
 1853-0 
 
 0-00763 
 
 + 6,3 
 
 1 8630 
 
 0-00571 
 
 + 10,8 
 
 18730 
 
 0-00299 
 
 + 0,3 
 
 1883-O 
 
 0-00510 
 
 + ',3 
 
 2 
 
 776 
 
 5,3 
 
 2 
 
 59 
 
 9. 
 
 2 
 
 301 
 
 2,8 
 
 2 
 
 5'3 
 
 2,0 
 
 4 
 
 784 
 
 4, 
 
 4 
 
 607 
 
 7,8 
 
 4 
 
 310 
 
 5,8 
 
 4 
 
 518 
 
 2,5 
 
 6 
 
 792 
 
 4,0 
 
 6 
 
 621 
 
 6,3 
 
 6 
 
 324 
 
 8,0 
 
 *6 
 
 523 
 
 2,0 
 
 8 
 
 800 
 
 + 2,3 
 
 8 
 
 632 
 
 4,8 
 
 8 
 
 34* 
 
 9,5 
 
 8 
 
 526 
 
 2,8 
 
 18540 
 
 0-00801 
 
 0,0 
 
 1 864 
 
 0-00640 
 
 + 3,8 
 
 18740 
 
 0*00362 
 
 + n,3 
 
 18840 
 
 0-00534 
 
 + 4-5 
 
 2 
 
 800 
 
 - 0,3 
 
 2 
 
 647 
 
 + i,3 
 
 2 
 
 387 
 
 12,8 
 
 2 
 
 544 
 
 4,8 
 
 4 
 
 800 
 
 ',0 
 
 4 
 
 645 
 
 - i,3 
 
 4 
 
 4'3 
 
 H,3 
 
 4 
 
 553 
 
 4, 
 
 6 
 
 796 
 
 2,8 
 
 6 
 
 642 
 
 3,8 
 
 6 
 
 442 
 
 15,3 
 
 6 
 
 560 
 
 4,3 
 
 8 
 
 789 
 
 3,3 
 
 8 
 
 634 
 
 4,5 
 
 8 
 
 475 
 
 17,3 
 
 8 
 
 570 
 
 5,8 
 
 18550 
 
 0-00783 
 
 - 3,8 
 
 1865O 
 
 0-00624 
 
 - 5,8 
 
 1875 
 
 0-00511 
 
 + 18,0 
 
 18850 
 
 0-00583 
 
 + 6,0 
 
 2 
 
 774 
 
 5, 
 
 2 
 
 611 
 
 7,o 
 
 2 
 
 546 
 
 17,5 
 
 2 
 
 594 
 
 6,0 
 
 4 
 
 763 
 
 6,3 
 
 4 
 
 596 
 
 7,3 
 
 4 
 
 581 
 
 1 8,0 
 
 4 
 
 607 
 
 6,0 
 
 6 
 
 749 
 
 7,3 
 
 6 
 
 582 
 
 7,o 
 
 6 
 
 618 
 
 17,8 
 
 6 
 
 618 
 
 5,3 
 
 8 
 
 734 
 
 8,3 
 
 8 
 
 568 
 
 8,0 
 
 8 
 
 652 
 
 17,0 
 
 8 
 
 628 
 
 5,8 
 
 1856 
 
 0-00716 
 
 - 9.5 
 
 1866-0 
 
 0-00550 
 
 - 8,8 
 
 18760 
 
 o'oo686 
 
 + '5,8 
 
 1886 
 
 0-00641 
 
 + 7,3 
 
 2 
 
 696 
 
 10,5 
 
 2 
 
 533 
 
 7,8 
 
 2 
 
 7S 
 
 '4,3 
 
 2 
 
 657 
 
 8,0 
 
 4 
 
 674 
 
 n,3 
 
 4 
 
 5'9 
 
 6,3 
 
 4 
 
 743 
 
 12,5 
 
 4 
 
 673 
 
 7,o 
 
 6 
 
 65, 
 
 n,5 
 
 6 
 
 508 
 
 5,8 
 
 6 
 
 765 
 
 9-5 
 
 6 
 
 685 
 
 5,8 
 
 8 
 
 628 
 
 "ti 
 
 8 
 
 49 6 
 
 5,8 
 
 8 
 
 781 
 
 7,3 
 
 8 
 
 696 
 
 5,3 
 
 1857 
 
 0-00605 
 
 - I2 >3 
 
 1867 
 
 0-00485 
 
 - 4,5 
 
 1877-O 
 
 0*00794 
 
 + 5,8 
 
 18870 
 
 0-00706 
 
 + 5,3 
 
 2 
 
 579 
 
 13,0 
 
 2 
 
 478 
 
 2,8 
 
 2 
 
 804 
 
 3,5 
 
 2 
 
 717 
 
 S.o 
 
 4 
 
 553 
 
 12,8 
 
 4 
 
 474 
 
 ',5 
 
 4 
 
 808 
 
 + ',5 
 
 4 
 
 726 
 
 4, 
 
 6 
 
 528 
 
 12,0 
 
 6 
 
 472 
 
 - 0,5 
 
 6 
 
 810 
 
 - 0,8 
 
 6 
 
 733 
 
 3, 
 
 8 
 
 55 
 
 12,0 
 
 8 
 
 472 
 
 0,0 
 
 8 
 
 805 
 
 3,5 
 
 8 
 
 738 
 
 3,5 
 
 18580 
 
 0*00480 
 
 -13,0 
 
 18680 
 
 0-00472 
 
 + 0,5 
 
 1878-O 
 
 0*00796 
 
 - 5,3 
 
 1888*0 
 
 0-00747 
 
 + 4,3 
 
 2 
 
 453 
 
 12,8 
 
 2 
 
 474 
 
 1,8 
 
 2 
 
 784 
 
 7,o 
 
 2 
 
 755 
 
 3,o 
 
 4 
 
 429 
 
 n,5 
 
 4 
 
 479 
 
 2,3 
 
 4 
 
 768 
 
 7,8 
 
 4 
 
 759 
 
 1,8 
 
 6 
 
 407 
 
 n,3 
 
 6 
 
 483 
 
 2,0 
 
 6 
 
 753 
 
 8,0 
 
 6 
 
 762 
 
 i,5 
 
 8 
 
 384 
 
 11,0 
 
 8 
 
 487 
 
 2,0 
 
 8 
 
 736 
 
 9,5 
 
 8 
 
 765 
 
 ',o 
 
 1859 
 
 0-00363 
 
 - 9,8 
 
 1 869 
 
 0-00491 
 
 + 1,8 
 
 18790 
 
 0-00715 
 
 -10,3 
 
 1889-0 
 
 0*00766 
 
 + 0,8 
 
 2 
 
 345 
 
 8,0 
 
 2 
 
 494 
 
 + 1,0 
 
 2 
 
 695 
 
 1 0,0 
 
 2 
 
 768 
 
 1,0 
 
 4 
 
 33i 
 
 6,3 
 
 4 
 
 495 
 
 0,0 
 
 4 
 
 675 
 
 10,5 
 
 4 
 
 770 
 
 i.o 
 
 6 
 
 320 
 
 5,5 
 
 6 
 
 494 
 
 - 0,5 
 
 6 
 
 653 
 
 '0,5 
 
 6 
 
 772 
 
 ',0 
 
 8 
 
 39 
 
 4, 
 
 8 
 
 493 
 
 i,5 
 
 8 
 
 633 
 
 9,8 
 
 8 
 
 774 
 
 0,8 
 
 18600 
 
 0*00304 
 
 - ,5 
 
 18700 
 
 0*00488 
 
 - 3,3 
 
 18800 
 
 0-00614 
 
 - 9,8 
 
 18900 
 
 0-00775 
 
 + 0,3 
 
 Added Constant : o-oo6oo. 
 39 
 
SATELLITE I 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XXI continued Equation of Longitude Argument J 
 
 I 
 
 z 
 
 3 
 
 i 
 
 2 
 
 3 
 
 i 
 
 z 
 
 3 
 
 i 
 
 z 
 
 3 
 
 J 
 
 Equation 
 
 A 
 05"! 
 
 J 
 
 Equation 
 
 A 
 
 oy-i 
 
 J 
 
 Equation 
 
 A 
 
 oy-i 
 
 J 
 
 Equation 
 
 A 
 
 oy-i 
 
 
 
 
 
 
 
 
 
 
 o 
 
 
 
 o 
 
 
 1890-0 
 
 0-00775 
 
 + o,3 
 
 1 900 
 
 0-00818 
 
 + 3,5 
 
 1910-0 
 
 0-00485 
 
 + 7,8 
 
 1 920 
 
 0-00545 
 
 + 8,8 
 
 2 
 
 775 
 
 0,0 
 
 2 
 
 823 
 
 + i,3 
 
 2 
 
 502 
 
 9,0 
 
 2 
 
 565 
 
 io,3 
 
 4 
 
 775 
 
 + 0,3 
 
 4 
 
 823 
 
 - i,3 
 
 4 
 
 521 
 
 io,5 
 
 4 
 
 586 
 
 I0 ,5 
 
 6 
 
 776 
 
 0,0 
 
 6 
 
 818 
 
 3,5 
 
 6 
 
 544 
 
 12,0 
 
 6 
 
 607 
 
 i', 3 
 
 8 
 
 775 
 
 - 1,0 
 
 8 
 
 809 
 
 6,0 
 
 8 
 
 569 
 
 '3,3 
 
 8 
 
 631 
 
 '3,5 
 
 1891-0 
 
 0-0077* 
 
 - ,5 
 
 1901 
 
 0-00794 
 
 - 7,8 
 
 1911 
 
 0-00597 
 
 + 13,8 
 
 1921 
 
 0-00661 
 
 + 15,3 
 
 2 
 
 773 
 
 o,3 
 
 2 
 
 778 
 
 9, 
 
 2 
 
 624 
 
 12,8 
 
 2 
 
 692 
 
 14,8 
 
 4 
 
 771 
 
 1,0 
 
 4 
 
 758 
 
 o,3 
 
 4 
 
 648 
 
 12,0 
 
 4 
 
 720 
 
 12,8 
 
 6 
 
 769 
 
 1,8 
 
 6 
 
 737 
 
 10,8 
 
 6 
 
 672 
 
 12,0 
 
 6 
 
 743 
 
 n, 3 
 
 8 
 
 764 
 
 2,8 
 
 8 
 
 715 
 
 n,5 
 
 8 
 
 696 
 
 n,8 
 
 8 
 
 765 
 
 n,3 
 
 18920 
 
 0-00758 
 
 3,5 
 
 19020 
 
 0-00691 
 
 -12,0 
 
 1912 
 
 0-00719 
 
 + 11,0 
 
 1922 
 
 0-00788 
 
 + 11,0 
 
 2 
 
 750 
 
 4,o 
 
 2 
 
 66 j 
 
 12,0 
 
 2 
 
 740 
 
 9,8 
 
 2 
 
 809 
 
 IO,O 
 
 4 
 
 742 
 
 4,8 
 
 4 
 
 643 
 
 11,0 
 
 4 
 
 758 
 
 9, 
 
 4 
 
 828 
 
 9,5 
 
 6 
 
 73i 
 
 6,3 
 
 6 
 
 623 
 
 I O,O 
 
 6 
 
 776 
 
 8,3 
 
 6 
 
 847 
 
 9,5 
 
 8 
 
 717 
 
 7,5 
 
 8 
 
 603 
 
 9,8 
 
 8 
 
 79' 
 
 7,3 
 
 8 
 
 866 
 
 8,5 
 
 18930 
 
 0-00701 
 
 - 8,8 
 
 1 903 
 
 0-00584 
 
 - 8,8 
 
 19130 
 
 0-00805 
 
 + 6,0 
 
 1 9230 
 
 0-00881 
 
 + 6,3 
 
 2 
 
 682 
 
 9,8 
 
 2 
 
 568 
 
 7,3 
 
 2 
 
 8,5 
 
 3,5 
 
 2 
 
 891 
 
 3,8 
 
 4 
 
 662 
 
 10,3 
 
 4 
 
 555 
 
 60 
 
 4 
 
 819 
 
 1,8 
 
 4 
 
 896 
 
 2 ,5 
 
 6 
 
 641 
 
 11,0 
 
 6 
 
 544 
 
 4,5 
 
 6 
 
 822 
 
 + ,5 
 
 6 
 
 901 
 
 + i,5 
 
 8 
 
 618 
 
 12,3 
 
 8 
 
 537 
 
 3,5 
 
 8 
 
 821 
 
 - i,5 
 
 8 
 
 902 
 
 - o,3 
 
 18940 
 
 0-00592 
 
 -13,5 
 
 1904O 
 
 0-00530 
 
 - 1,8 
 
 19140 
 
 0-00816 
 
 - 2,8 
 
 1 924 
 
 0-00900 
 
 - 1,8 
 
 2 
 
 564 
 
 13,0 
 
 2 
 
 529 
 
 o,5 
 
 2 
 
 810 
 
 3,8 
 
 2 
 
 895 
 
 2,5 
 
 4 
 
 538 
 
 '3,5 
 
 4 
 
 528 
 
 - ,3 
 
 4 
 
 801 
 
 4,8 
 
 4 
 
 890 
 
 3-o 
 
 6 
 
 512 
 
 13,0 
 
 6 
 
 528 
 
 + 0,3 
 
 6 
 
 79i 
 
 5,3 
 
 6 
 
 883 
 
 4,3 
 
 8 
 
 488 
 
 12,5 
 
 8 
 
 529 
 
 i,3 
 
 8 
 
 780 
 
 5,8 
 
 8 
 
 873 
 
 4,8 
 
 18950 
 
 0-00463 
 
 -'2,3 
 
 1 9050 
 
 0-00533 
 
 + i,5 
 
 19150 
 
 0-00768 
 
 - 6,8 
 
 19250 
 
 0-00864 
 
 - 4,3 
 
 2 
 
 441 
 
 i,5 
 
 2 
 
 535 
 
 0,8 
 
 2 
 
 753 
 
 8,3 
 
 2 
 
 856 
 
 4,5 
 
 4 
 
 421 
 
 9> 
 
 4 
 
 536 
 
 o,5 
 
 4 
 
 735 
 
 8,5 
 
 4 846 
 
 4,3 
 
 6 
 
 405 
 
 6,8 
 
 6 
 
 537 
 
 ,5 
 
 6 
 
 719 
 
 8,0 
 
 6 839 
 
 3,3 
 
 8 
 
 394 
 
 4,3 
 
 8 
 
 538 
 
 + 0,5 
 
 8 
 
 703 
 
 9> 
 
 8 
 
 833 
 
 3, 
 
 18960 
 
 0-00388 
 
 - 1,8 
 
 19060 
 
 0-00539 
 
 - 0,3 
 
 1 91 6-0 
 
 0-00683 
 
 - 9-3 
 
 19260 
 
 0-00827 
 
 - 2,0 
 
 2 
 
 387 
 
 + 0,5 
 
 2 
 
 537 
 
 1,5 
 
 2 
 
 664 
 
 9,5 
 
 2 
 
 825 
 
 i,5 
 
 4 
 
 39 
 
 3,o 
 
 4 
 
 533 
 
 2,8 
 
 4 
 
 645 
 
 9,3 
 
 4 
 
 821 
 
 1,8 
 
 6 
 
 399 
 
 S.o 
 
 6 
 
 526 
 
 3,5 
 
 6 
 
 627 
 
 8,8 
 
 6 
 
 818 
 
 0,8 
 
 8 
 
 410 
 
 7,o 
 
 8 
 
 5i9 
 
 3,8 
 
 8 
 
 610 
 
 8,8 
 
 8 
 
 818 
 
 - 0,3 
 
 18970 
 
 0-00427 
 
 + 9,8 
 
 19070 
 
 0-005 l ' 
 
 - 4,3 
 
 1917O 
 
 0-00592 
 
 - 9,3 
 
 19270 
 
 0-00817 
 
 + 0,5 
 
 2 
 
 449 
 
 11,8 
 
 2 
 
 502 
 
 5,3 
 
 2 
 
 573 
 
 8,5 
 
 2 
 
 820 
 
 i,5 
 
 4 
 
 474 
 
 '3,3 
 
 4 
 
 490 
 
 6,0 
 
 4 
 
 558 
 
 7,5 
 
 4 
 
 823 
 
 1,8 
 
 6 
 
 502 
 
 14,0 
 
 6 
 
 478 
 
 5,8 
 
 6 
 
 543 
 
 6,5 
 
 6 
 
 827 
 
 1,8 
 
 8 
 
 53 
 
 i5,o 
 
 8 
 
 467 
 
 4,8 
 
 8 
 
 532 
 
 6,0 
 
 8 
 
 830 
 
 ',3 
 
 1898-0 
 
 0-00562 
 
 + 16,5 
 
 1 908 
 
 0-00459 
 
 - 4,3 
 
 19180 
 
 0-00519 
 
 - 5,8 
 
 1 928 O 
 
 0-00832 
 
 + 1,0 
 
 2 
 
 596 
 
 16,8 
 
 2 
 
 450 
 
 3,3 
 
 2 
 
 509 
 
 3,8 
 
 2 
 
 834 
 
 + o,5 
 
 4 
 
 629 
 
 16,3 
 
 4 
 
 446 
 
 1,8 
 
 4 
 
 504 
 
 2,5 
 
 4 
 
 834 
 
 - ,5 
 
 6 
 
 661 
 
 15,8 
 
 6 
 
 443 
 
 1,0 
 
 6 
 
 499 
 
 1,8 
 
 6 
 
 83* 
 
 1,8 
 
 8 
 
 692 
 
 15,5 
 
 8 
 
 442 
 
 0,8 
 
 8 
 
 497 
 
 - 0,3 
 
 8 827 
 
 3,3 
 
 
 
 
 
 
 
 
 
 
 i 
 
 
 1899-0 
 
 0-00723 
 
 + 15,0 
 
 19090 
 
 0-00440 
 
 - 0,8 
 
 19190 
 
 0-00498 
 
 + i,3 
 
 1929'O 0-00819 
 
 - 5, 
 
 2 
 
 752 
 
 '3,5 
 
 2 
 
 439 
 
 + 0,8 
 
 2 
 
 502 
 
 2,3 
 
 2 
 
 807 
 
 6,5 
 
 4 
 
 777 
 
 11,0 
 
 4 
 
 443 
 
 4,3 
 
 4 
 
 507 
 
 4,0 
 
 4 
 
 793 
 
 7,5 
 
 6 
 
 796 
 
 8,0 
 
 6 
 
 456 
 
 7,o 
 
 6 
 
 518 
 
 5,8 
 
 6 
 
 777 
 
 8,3 
 
 8 
 
 809 
 
 5, 
 
 8 
 
 47' 
 
 7,3 
 
 8 
 
 530 
 
 6,8 
 
 8 
 
 760 
 
 8,8 
 
 1 900-0 
 
 0-00818 
 
 + 3,5 
 
 19100 
 
 0-00485 
 
 + 7,8 
 
 1 920 
 
 0-00545 
 
 + 8,8 
 
 1 930 
 
 0-00742 
 
 -i,3 
 
 Added Constant : o'oo6oo. 
 40 
 
SATELLITE I 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XXI continued Equation of Longitude Argument J 
 
 I 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 J 
 
 Equation 
 
 A 
 VI 
 
 J 
 
 Equation 
 
 A 
 03"! 
 
 J 
 
 Equation 
 
 A 
 05-1 
 
 J 
 
 Equation 
 
 A 
 OT-I 
 
 
 o 
 
 o 
 
 
 
 c 
 
 
 
 o 
 
 
 1930 
 
 0-00741 - 10,3 
 
 19400 
 
 0-00568 
 
 - 8,3 
 
 19500 
 
 0-00715 
 
 + ,5 
 
 1 960 O 
 
 0-00911 
 
 - 4,3 
 
 2 
 
 7'9 n.5 
 
 2 
 
 553 
 
 6,5 
 
 2 
 
 715 
 
 0,0 
 
 2 
 
 899 
 
 5,5 
 
 4 
 
 696 
 
 ii,5 
 
 4 
 
 542 
 
 S,o 
 
 4 
 
 75 
 
 - 0,3 
 
 4 
 
 889 
 
 6,5 
 
 6 
 
 673 
 
 12,3 
 
 6 
 
 533 
 
 4,3 
 
 6 7H 
 
 1,8 
 
 6 
 
 873 
 
 8,5 
 
 8 
 
 647 
 
 12,S 
 
 8 
 
 5*5 
 
 3,3 
 
 8 708 
 
 2 ,5 
 
 8 
 
 855 
 
 9,3 
 
 1931 
 
 0-00622 
 
 -12,3 
 
 1 941 
 
 0-00520 
 
 - 2,3 
 
 1951'O 0-00704 
 
 - 2,8 
 
 1 961 O 
 
 0-00836 
 
 - 9,3 
 
 2 
 
 598 
 
 11,0 
 
 2 
 
 5,6 
 
 2,5 
 
 2 697 
 
 3,8 
 
 2 
 
 818 
 
 9,5 
 
 4 
 
 578 
 
 9> 
 
 4 
 
 510 
 
 2 ,5 
 
 4 689 
 
 5,o 
 
 4 
 
 798 
 
 9,5 
 
 6 
 
 562 
 
 7, 
 
 6 
 
 506 
 
 ',5 
 
 6 677 
 
 5,5 
 
 6 
 
 780 
 
 8,3 
 
 8 
 
 55 
 
 5,3 
 
 8 
 
 504 
 
 0,8 
 
 8 
 
 667 
 
 6,3 
 
 8 
 
 765 
 
 7,5 
 
 1 9320 
 
 0-00541 
 
 - 3,8 
 
 19420 
 
 0-00503 
 
 - 0,3 
 
 1 9520 
 
 0-00652 
 
 - 8,0 
 
 19620 
 
 0-00750 
 
 - 6,8 
 
 2 
 
 535 
 
 - 2,0 
 
 2 
 
 53 
 
 o,5 
 
 2 
 
 635 
 
 8,5 
 
 2 
 
 738 
 
 S.o 
 
 4 
 
 533 
 
 + 0,8 
 
 4 
 
 501 
 
 1,0 
 
 4 
 
 618 
 
 9> 
 
 4 
 
 730 
 
 4,3 
 
 6 
 
 538 
 
 3,5 
 
 6 
 
 499 
 
 0,8 
 
 6 
 
 599 
 
 9-o 
 
 6 
 
 721 
 
 3,3 
 
 8 
 
 547 
 
 6,5 
 
 8 
 
 498 
 
 1,0 
 
 8 
 
 582 
 
 9,5 
 
 *8 
 
 717 
 
 2,0 
 
 19330 
 
 0-00564 
 
 + 9,5 
 
 19430 
 
 0-00495 
 
 - 0,8 
 
 1 9530 
 
 0-00561 
 
 -io,5 
 
 1 9630 
 
 0-00715 
 
 - i,o 
 
 2 
 
 585 
 
 11,0 
 
 2 
 
 495 
 
 0,0 
 
 2 
 
 540 
 
 10,3 
 
 *2 
 
 73 
 
 - 0,5 
 
 4 
 
 508 
 
 11,8 
 
 4 
 
 495 
 
 - 0,5 
 
 4 
 
 520 
 
 10,0 
 
 4 
 
 713 
 
 + 0,5 
 
 6 
 
 63* 
 
 13,0 
 
 6 
 
 493 
 
 - 0,3 
 
 6 
 
 500 
 
 9,8 
 
 e 
 
 75 
 
 ',3 
 
 8 
 
 660 
 
 i4,5 
 
 8 
 
 494 
 
 + 0,5 
 
 8 
 
 481 
 
 9,5 
 
 *8 
 
 718 
 
 2,0 
 
 1934-0 
 
 0*00690 
 
 + 1 6,0 
 
 1 944-O 
 
 0-00495 
 
 + 1,0 
 
 1 954 
 
 0-00462 
 
 - 9,3 
 
 1 964-0 
 
 0-00723 
 
 + 2,0 
 
 2 
 
 724 
 
 ,6,5 
 
 2 
 
 497 
 
 ',5 
 
 2 
 
 444 
 
 8,3 
 
 2 
 
 726 
 
 1,8 
 
 4 
 
 756 
 
 "5,5 
 
 4 
 
 501 
 
 1,8 
 
 4 
 
 4 2 9 
 
 6,3 
 
 4 
 
 730 
 
 ',3 
 
 6 
 
 786 
 
 i5,S 
 
 6 
 
 504 
 
 1,8 
 
 6 
 
 419 
 
 4,3 
 
 6 
 
 73' 
 
 + o,5 
 
 8 
 
 818 
 
 '5,3 
 
 8 
 
 508 
 
 2,3 
 
 8 
 
 4" 
 
 2,8 
 
 8 
 
 732 
 
 0,0 
 
 19350 
 
 0-00847 
 
 + H-5 
 
 19450 
 
 0-00513 
 
 + 3,o 
 
 19550 
 
 0-00408 
 
 - 0,3 
 
 1 9650 
 
 0-00731 
 
 - 0,8 
 
 2 
 
 876 
 
 12,8 
 
 2 
 
 520 
 
 4,3 
 
 2 
 
 411 
 
 + *,3 
 
 2 
 
 729 
 
 i,5 
 
 4 
 
 898 
 
 9,8 
 
 4 
 
 530 
 
 4,3 
 
 4 
 
 4-7 
 
 4, 
 
 4 
 
 725 2,5 
 
 6 
 
 9'5 
 
 8,3 
 
 6 
 
 537 
 
 4,3 
 
 8 
 
 4*7 
 
 5,5 
 
 6 
 
 719 
 
 4, 
 
 8 
 
 93i 
 
 6,3 
 
 8 
 
 547 
 
 5,8 
 
 8 
 
 439 
 
 7,8 
 
 8 
 
 709 
 
 5,8 
 
 1 9360 
 
 0-00940 
 
 + 3,5 
 
 1946 
 
 0-00560 
 
 + 6,5 
 
 1 956 O 
 
 0-00458 
 
 + 10,3 
 
 19660 
 
 0-00696 
 
 - 7,5 
 
 2 
 
 945 
 
 + i,3 
 
 2 
 
 573 
 
 5,5 
 
 "2 
 
 480 
 
 12,5 
 
 2 
 
 % 9 
 
 8,8 
 
 4 
 
 945 
 
 - ',0 
 
 4 
 
 582 
 
 4,8 
 
 4 
 
 508 
 
 14,0 
 
 4 
 
 661 
 
 9,3 
 
 6 
 
 941 
 
 3,3 
 
 6 
 
 592 
 
 5,3 
 
 6 
 
 536 
 
 H,5 
 
 6 
 
 642 
 
 10,0 
 
 8 
 
 932 
 
 5,8 
 
 8 
 
 603 
 
 5,5 
 
 8 
 
 566 
 
 17,0 
 
 8 
 
 621 
 
 10,0 
 
 19370 
 2 
 
 0-00918 
 899 
 
 - 8,3 
 10,3 
 
 19470 
 2 
 
 0-00614 
 626 
 
 + 5,8 
 5,8 
 
 1 957-O 
 2 
 
 0-00604 
 642 
 
 + 19,0 
 18,5 
 
 19670 
 2 
 
 0*00602 
 
 582 
 
 - 9,8 
 9, 
 
 4 
 
 877 
 
 ",S 
 
 4 
 
 637 
 
 5> 
 
 4 
 
 678 
 
 17,3 
 
 4 
 
 566 
 
 7,3 
 
 6 
 
 853 
 
 11,8 
 
 e 
 
 646 
 
 5, 
 
 6 
 
 711 
 
 17,0 
 
 6 
 
 553 
 
 5,8 
 
 8 
 
 830 
 
 12,8 
 
 8 
 
 657 
 
 5,3 
 
 8 
 
 746 
 
 17,0 
 
 8 
 
 543 
 
 4, 
 
 1 938 
 
 0-00802 
 
 -13,8 
 
 1948-0 
 
 0-00667 
 
 + 5,3 
 
 1 9580 
 
 0-00779 
 
 + 16,8 
 
 1 9680 
 
 0-00537 
 
 - 2,5 
 
 2 
 
 775 
 
 14,0 
 
 2 
 
 678 
 
 4,8 
 
 2 
 
 813 
 
 15,3 
 
 2 
 
 532 
 
 - 1,8 
 
 4 
 
 746 
 
 14,0 
 
 4 
 
 686 
 
 3,3 
 
 4 
 
 840 
 
 12,3 
 
 4 
 
 53< 
 
 0,0 
 
 6 
 
 719 
 
 '3, 
 
 6 
 
 691 
 
 3,o 
 
 6 
 
 862 
 
 10,3 
 
 6 
 
 533 
 
 + 2,5 
 
 8 
 
 694 
 
 .2,8 
 
 8 
 
 698 
 
 3,3 
 
 8 
 
 881 
 
 8,3 
 
 8 
 
 540 
 
 4,5 
 
 19390 
 
 0-00668 
 
 -12,8 
 
 19490 
 
 0-00704 
 
 + 2,3 
 
 1 959 O 
 
 0-00895 
 
 + 6,5 
 
 19690 
 
 0-00551 
 
 + 5,5 
 
 2 
 
 643 
 
 11,8 
 
 2 
 
 707 
 
 2,0 
 
 2 
 
 97 
 
 4,3 
 
 2 
 
 562 
 
 7,o 
 
 O 
 
 4 
 
 621 
 
 10,3 
 
 4 
 
 712 
 
 4,0 
 
 4 
 
 912 
 
 2,3 
 
 4 
 
 579 
 
 9,8 
 
 6 
 
 602 
 
 8,8 
 
 6 
 
 7'5 
 
 + o,3 
 
 6 
 
 916 
 
 + ',o 
 
 6 
 
 60 1 
 
 io,5 
 
 8 
 
 586 
 
 8,5 
 
 8 
 
 713 
 
 0,0 
 
 8 
 
 916 
 
 - 1,3 
 
 8 
 
 621 
 
 10,3 
 
 19400 
 
 0*00568 
 
 - 8,3 
 
 1 950 O 
 
 0-00715 
 
 + 0,5 
 
 1 9600 
 
 0*00911 
 
 - 4,3 
 
 1 9700 
 
 0-00642 
 
 + ii,3 
 
 Added Constant : o' '00600. 
 4' 
 
SATELLITE I 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 Equation of Longitude Argument J 
 
 XXI continued 
 
 I 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 J 
 
 Equation 
 
 A 
 
 oy-i 
 
 J 
 
 Equation 
 
 A 
 
 o>-i 
 
 J 
 
 Equation 
 
 A 
 
 oy-i 
 
 
 o 
 
 
 
 o 
 
 
 
 o 
 
 
 1 9700 
 
 0*00642 
 
 + n,3 
 
 1 980 
 
 0-00382 
 
 + 7,8 
 
 1 9900 
 
 0-00344 
 
 - 10,8 
 
 *2 
 
 666 
 
 12,3 
 
 2 
 
 39 8 
 
 7,8 
 
 2 
 
 322 
 
 9,5 
 
 4 
 
 691 
 
 12,3 
 
 4 
 
 4'3 
 
 7,8 
 
 4 
 
 306 
 
 7,3 
 
 6 
 
 715 
 
 *,3 
 
 6 
 
 429 
 
 7,5 
 
 6 
 
 293 
 
 5,8 
 
 8 
 
 740 
 
 12,0 
 
 8 
 
 443 
 
 8,0 
 
 8 
 
 *83 
 
 4,5 
 
 1971-0 
 
 0-00763 
 
 + 10,8 
 
 1 981 
 
 0-00461 
 
 + 9, 
 
 1 991 
 
 0-00275 
 
 - 2 ,5 
 
 *2 
 
 783 
 
 9.3 
 
 2 
 
 479 
 
 8,0 
 
 2 
 
 *73 
 
 0,0 
 
 4 
 
 800 
 
 7,8 
 
 4 
 
 493 
 
 6,8 
 
 4 
 
 275 
 
 + *,3 
 
 6 
 
 814 
 
 6,0 
 
 6 
 
 506 
 
 6,5 
 
 6 
 
 282 
 
 4,5 
 
 8 
 
 8*4 
 
 4,8 
 
 8 
 
 59 
 
 5,8 
 
 8 
 
 *93 
 
 7,5 
 
 19720 
 
 0-00833 
 
 + 3,8 
 
 1982 
 
 0-00529 
 
 + 4,8 
 
 19920 
 
 0-00312 
 
 + n,o 
 
 2 
 
 839 
 
 + ,o 
 
 2 
 
 538 
 
 3,5 
 
 2 
 
 337 
 
 '3,3 
 
 4 
 
 841 
 
 0,0 
 
 4 
 
 543 
 
 *,3 
 
 4 
 
 365 
 
 '4,5 
 
 6 
 
 839 
 
 - 1,8 
 
 6 
 
 547 
 
 2,0 
 
 6 
 
 395 
 
 '5,5 
 
 8 
 
 830 
 
 4,5 
 
 8 
 
 55i 
 
 1,8 
 
 8 
 
 4*7 
 
 1 6,8 
 
 19730 
 
 0*00811 
 
 - 5,3 
 
 1 983 
 
 0-00554 
 
 + ',3 
 
 1 9930 
 
 0-00461 
 
 + '9,o 
 
 2 
 
 809 
 
 7,5 
 
 2 
 
 556 
 
 - ,5 
 
 2 
 
 503 
 
 *,3 
 
 4 
 
 791 
 
 9,3 
 
 4 
 
 55* 
 
 *,3 
 
 4 
 
 543 
 
 '9,5 
 
 6 
 
 772 
 
 1 0,0 
 
 6 
 
 547 
 
 *,5 
 
 6 
 
 58i 
 
 19,0 
 
 8 
 
 75> 
 
 11,0 
 
 8 
 
 54 2 
 
 3, 
 
 8 
 
 619 
 
 i9,3 
 
 1 974-0 
 
 0-00728 
 
 - '*,3 
 
 19840 
 
 0-00535 
 
 - 3,5 
 
 19940 
 
 0-00658 
 
 + 18,8 
 
 2 
 
 701 
 
 13,0 
 
 2 
 
 528 
 
 3,3 
 
 2 
 
 694 
 
 '6,5 
 
 4 
 
 676 
 
 12,8 
 
 4 
 
 5" 
 
 2,8 
 
 4 
 
 7*4 
 
 '4,5 
 
 6 
 
 651 
 
 12,8 
 
 6 
 
 5'7 
 
 1,8 
 
 6 
 
 75* 
 
 '*,3 
 
 8 
 
 6*5 
 
 '3,5 
 
 8 
 
 515 
 
 ',3 
 
 8 
 
 773 
 
 9,8 
 
 19750 
 
 0-00597 
 
 - 14,3 
 
 1 985-0 
 
 0-00512 
 
 ',5 
 
 1 9950 
 
 0-00791 
 
 + 8,5 
 
 2 
 
 568 
 
 13,8 
 
 2 
 
 509 
 
 - 1,0 
 
 2 
 
 807 
 
 6,0 
 
 4 
 
 54* 
 
 I 2,8 
 
 4 
 
 508 
 
 0,0 
 
 4 
 
 815 
 
 3,o 
 
 6 
 
 517 
 
 '2,3 
 
 6 
 
 509 
 
 + 0,3 
 
 6 
 
 819 
 
 + ,5 
 
 8 
 
 493 
 
 '*,5 
 
 8 
 
 509 
 
 0,8 
 
 8 
 
 817 
 
 - *,o 
 
 19760 
 
 0-00467 
 
 - 12,0 
 
 1 9860 
 
 0-00512 
 
 + 0,8 
 
 1 9960 
 
 0*008 1 1 
 
 - 4,3 
 
 2 
 
 445 
 
 10,8 
 
 2 
 
 5 1 * 
 
 1,0 
 
 2 
 
 800 
 
 7,o 
 
 4 
 
 4*4 
 
 10,0 
 
 4 
 
 5,6 
 
 1,0 
 
 4 
 
 783 
 
 7,8 
 
 6 
 
 45 
 
 8,8 
 
 6 
 
 520 
 
 1,0 
 
 6 
 
 769 
 
 8,3 
 
 8 
 
 389 
 
 7,8 
 
 8 
 
 5*4 
 
 ',5 
 
 8 
 
 750 
 
 1 0,0 
 
 19770 
 
 0-00374 
 
 - 7,5 
 
 19870 
 
 0-00516 
 
 + 1,3 
 
 19970 
 
 0-00719 
 
 -10,5 
 
 2 
 
 359 
 
 6,3 
 
 2 
 
 5*9 
 
 + 0,8 
 
 2 
 
 708 
 
 ,3 
 
 4 
 
 349 
 
 5, 
 
 4 
 
 5*9 
 
 - 0,8 
 
 4 
 
 684 
 
 11,8 
 
 6 
 
 339 
 
 4,5 
 
 8 
 
 526 
 
 1,8 
 
 6 
 
 66 1 
 
 11,0 
 
 8 
 
 33' 
 
 3,5 
 
 8 
 
 512 
 
 3,o 
 
 8 
 
 640 
 
 10,5 
 
 1 978-0 
 
 0-00315 
 
 - *,5 
 
 1988-0 
 
 0*00514 
 
 - 4, 
 
 1 998 
 
 0*00619 
 
 -10,3 
 
 2 
 
 321 
 
 *! 
 
 2 
 
 506 
 
 5,o 
 
 2 
 
 599 
 
 8,8 
 
 4 
 
 3'9 
 
 - o,5 
 
 4 
 
 494 
 
 5,8 
 
 4 
 
 584 
 
 7,3 
 
 6 
 
 319 
 
 + 0,8 
 
 6 
 
 483 
 
 7,o 
 
 6 
 
 570 
 
 6,8 
 
 8 
 
 3** 
 
 *,5 
 
 8 
 
 466 
 
 9,o 
 
 8 
 
 557 
 
 5,3 
 
 1 9790 
 
 0-00329 
 
 + 3,5 
 
 19890 
 
 0-00447 
 
 - 9,8 
 
 19990 
 
 0*00549 
 
 - 3,5 
 
 2 
 
 336 
 
 4,o 
 
 2 
 
 4*7 
 
 10,3 
 
 2 
 
 543 
 
 2,8 
 
 4 
 
 345 
 
 4,5 
 
 4 
 
 406 
 
 10,0 
 
 4 
 
 538 
 
 2,0 
 
 6 
 
 354 
 
 5,5 
 
 6 
 
 387 
 
 10,3 
 
 6 
 
 535 
 
 - 0,8 
 
 8 
 
 367 
 
 7,o 
 
 8 
 
 365 
 
 10,8 
 
 8 
 
 535 
 
 + 0,3 
 
 19800 
 
 0-00382 
 
 + 7,8 
 
 1 9900 
 
 0-00344 
 
 - 10,8 
 
 20000 
 
 0*00536 
 
 + 0,5 
 
 Added Constant : 0-00600 
 4* 
 
SATELLITE I 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XXII Equation of Longitude Argument K 
 
 I 
 
 
 
 3 
 
 4 
 
 I 
 
 1 3 
 
 4 
 
 . 
 
 2 
 
 3 
 
 4 
 
 i 
 
 2 
 
 3 
 
 4 
 
 K 
 
 Equa- 
 tion 
 
 A 
 O d 'OOI 
 
 i* 
 
 K 
 
 Equa- A 
 tion o d -ooi 
 
 4 ^ 
 
 K 
 
 Equa- 
 tion 
 
 A 
 Qd-OOI 
 
 4 A 2 
 
 K 
 
 Equa- 
 tion 
 
 A 
 Qd-ooi 
 
 *A 
 
 d 
 
 o 
 
 
 
 d 
 
 o 
 
 
 
 d 
 
 o 
 
 
 
 d 
 
 o 
 
 
 
 0000 
 
 0-07000 
 
 -29,8 
 
 ,00 
 
 0250 
 
 0-02888 
 
 + 6,1 
 
 + ,IO 
 
 500 
 
 0-08674 
 
 + 27,4 
 
 -.04 
 
 0750 
 
 0-10431 
 
 -'7,2 
 
 -.08 
 
 005 
 
 6851 
 
 29,8 
 
 ,00 
 
 255 
 
 2921 
 
 7,' 
 
 ,10 
 
 505 
 
 8810 
 
 26,9 
 
 ,06 
 
 755 
 
 10343 
 
 18,1 
 
 ,10 
 
 01 o 
 
 6702 
 
 29,8 
 
 ,00 
 
 260 
 
 2959 
 
 8,1 
 
 ,1 
 
 51 
 
 8943 
 
 26,4 
 
 ,04 
 
 760 
 
 10250 
 
 19,0 
 
 ,08 
 
 O1 5 
 
 6553 
 
 29.7 
 
 + ,02 
 
 265 
 
 3002 
 
 9, 1 , 10 
 
 515 
 
 9074 
 
 25,9 
 
 ,06 
 
 765 
 
 10153 
 
 19,7 
 
 ,06 
 
 02O 
 
 6405 
 
 2 9,5 
 
 ,02 
 
 270 
 
 3050 
 
 10,2 
 
 ,12 
 
 520 
 
 9202 
 
 25,4 
 
 ,04 
 
 77O 
 
 10053 
 
 20,4 
 
 ,08 
 
 O25 
 
 6258 
 
 29.3 
 
 ,02 
 
 275 
 
 3104 
 
 11,2 
 
 ,08 
 
 525 
 
 9328 
 
 24,9 
 
 ,06 
 
 775 
 
 09949 
 
 21,2 
 
 ,08 
 
 0-030 
 
 0'O6 I 12 
 
 -29,1 
 
 + ,0* 
 
 0280 
 
 0-03162 
 
 + 12,1 
 
 + ,io 
 
 530 
 
 0-09451 
 
 + 24,2 
 
 -,08 
 
 0780 
 
 0-09841 
 
 -22,0 
 
 -.08 
 
 O35 
 
 5967 
 
 28,9 
 
 ,02 
 
 285 
 
 3225 
 
 13,1 
 
 ,1 
 
 535 
 
 9570 
 
 23,5 
 
 ,06 
 
 785 
 
 97*9 
 
 22,7 
 
 ,06 
 
 040 
 
 5823 
 
 28,6 
 
 ,4 
 
 290 
 
 3293 
 
 14,0 
 
 ,08 
 
 540 
 
 9686 
 
 22,9 
 
 ,06 
 
 790 
 
 9614 
 
 23,3 
 
 ,06 
 
 O45 
 
 568l 
 
 28,3 
 
 ,0* 
 
 295 
 
 3365 
 
 '4,9 
 
 ,10 
 
 545 
 
 9799 
 
 *2,3 
 
 ,06 
 
 795 
 
 9496 
 
 24,0 
 
 ,08 
 
 05O 
 
 554 
 
 28,0 
 
 ,4 
 
 300 
 
 3442 
 
 15,8 
 
 ,08 
 
 55O 
 
 9909 
 
 21,6 
 
 ,08 
 
 800 
 
 9374 
 
 24,7 
 
 ,06 
 
 0055 
 
 0-05401 
 
 -27,6 
 
 + ,4 
 
 305 
 
 0-03523 
 
 + 16,7 
 
 + ,10 
 
 0-555 
 
 0-10015 
 
 + 20,8 
 
 -,08 
 
 0805 
 
 0-09249 
 
 -25,2 
 
 -.04 
 
 060 
 
 5264 
 
 27,2 
 
 ,4 
 
 31 
 
 3609 
 
 17,6 
 
 ,08 
 
 56O 
 
 10117 
 
 20,0 
 
 ,08 
 
 81 
 
 9122 
 
 25,7 
 
 ,06 
 
 O65 
 
 5129 
 
 26,7 
 
 ,06 
 
 315 
 
 3699 
 
 18,5 
 
 ,10 
 
 565 
 
 10215 
 
 19,2 
 
 ,08 
 
 815 
 
 8992 
 
 26,3 
 
 ,06 
 
 O7O 
 
 4997 
 
 26,2 
 
 ,4 
 
 32O 
 
 3794 
 
 '9,3 
 
 ,06 
 
 570 
 
 10309 
 
 18,3 
 
 ,' 
 
 82O 
 
 8859 
 
 26,8 
 
 ,4 
 
 075 
 
 4867 
 
 25,7 
 
 ,06 
 
 325 
 
 3892 
 
 20,0 
 
 ,08 
 
 575 
 
 10398 
 
 '7,5 
 
 ,06 
 
 825 
 
 8724 
 
 27,2 
 
 ,04 
 
 O'OSO 
 
 0^04740 
 
 -25,1 
 
 + ,06 
 
 330 
 
 0-03994 
 
 + 20,8 
 
 + .08 
 
 O 580 
 
 0-10484 
 
 + 16,7 
 
 -,IO 
 
 0830 
 
 0-08587 
 
 -27,6 
 
 -,4 
 
 085 
 
 4616 
 
 24,6 
 
 ,04 
 
 335 
 
 4100 
 
 21,6 
 
 ,08 
 
 585 
 
 10565 
 
 '5,8 
 
 ,08 
 
 835 
 
 8448 
 
 28,0 
 
 ,4 
 
 09O 
 
 4494 
 
 24,0 
 
 ,08 
 
 340 
 
 4210 
 
 22,3 
 
 ,06 
 
 590 
 
 10642 
 
 '4,9 
 
 ,10 
 
 840 
 
 8307 
 
 28,3 
 
 ,02 
 
 095 
 
 4376 
 
 2 3,3 
 
 ,06 
 
 345 
 
 4323 
 
 23,0 
 
 ,08 
 
 595 
 
 10714 
 
 13,9 
 
 ,10 
 
 845 
 
 8165 
 
 28,6 
 
 ,04 
 
 100 
 
 4261 
 
 22,6 
 
 ,08 
 
 350 
 
 444 
 
 23,7 
 
 ,06 
 
 6OO 
 
 10781 
 
 ",9 
 
 ,'0 
 
 85O 
 
 8021 
 
 28,9 
 
 ,02 
 
 105 
 
 0^04150 
 
 -21,9 
 
 + ,06 
 
 O 355 
 
 0-04560 
 
 + 24,3 
 
 + ,06 
 
 0605 
 
 0-10843 
 
 + I*,0 
 
 -,08 
 
 0-855 
 
 0-07876 
 
 -29,2 
 
 -,0 4 
 
 110 
 
 4042 
 
 21,2 
 
 ,08 
 
 36O 
 
 4683 
 
 24,8 
 
 ,04 
 
 61 
 
 10901 
 
 11,1 
 
 ,'0 
 
 86O 
 
 7729 
 
 29,5 
 
 -,02 
 
 115 
 
 3938 
 
 20,4 
 
 ,08 
 
 365 
 
 4808 
 
 25,4 
 
 ,08 
 
 615 
 
 10954 
 
 10,1 
 
 ,10 
 
 865 
 
 758i 
 
 29,6 
 
 ,00 
 
 12O 
 
 3838 
 
 19,6 
 
 ,08 
 
 37O 
 
 4937 
 
 26,O 
 
 ,04 
 
 620 
 
 I10O2 
 
 9,i 
 
 ,10 
 
 87O 
 
 7433 
 
 29,6 
 
 ,00 
 
 125 
 
 374 2 
 
 18,8 
 
 ,08 
 
 375 
 
 5068 
 
 26,5 
 
 ,06 
 
 625 
 
 11045 
 
 8,0 
 
 ,12 
 
 875 
 
 7285 
 
 29,7 
 
 -,02 
 
 130 
 
 0-03650 
 
 - 1 8,0 
 
 + ,08 
 
 O-38O 
 
 0-05202 
 
 + 27,0 
 
 + ,4 
 
 0630 
 
 0-11082 
 
 + 7,o 
 
 -.08 
 
 OS80 
 
 0-07136 
 
 -29,8 
 
 ,00 
 
 135 
 
 3562 
 
 17,2 
 
 ,08 
 
 385 
 
 5338 
 
 27,4 
 
 ,4 
 
 635 
 
 11115 
 
 6,0 
 
 ,'2 
 
 885 
 
 6987 
 
 29,8 
 
 ,00 
 
 140 
 
 3478 
 
 '6,3 
 
 ,10 
 
 390 
 
 5476 
 
 27,8 
 
 ,04 
 
 64O 
 
 11142 
 
 4,9 
 
 ,'0 
 
 89O 
 
 6838 
 
 29,8 
 
 ,00 
 
 145 
 
 3399 
 
 '5,3 
 
 ,10 
 
 395 
 
 5616 
 
 28,2 
 
 ,4 
 
 645 
 
 11164 
 
 3,9 
 
 ,10 
 
 895 
 
 6689 
 
 29,7 
 
 + ,02 
 
 15O 
 
 3325 
 
 i4,4 
 
 ,08 
 
 40O 
 
 5758 
 
 28,5 
 
 ,02 
 
 650 
 
 mSi 
 
 2,8 
 
 ,'2 
 
 900 
 
 6541 
 
 29,6 
 
 ,00 
 
 0-155 
 
 0-03255 
 
 -'3,5 
 
 + ,io 
 
 0405 
 
 0-05901 
 
 + 28,7 
 
 + ,02 
 
 655 
 
 0-11192 
 
 + 1,8 
 
 -,08 
 
 905 
 
 0-06393 
 
 -*9,5 
 
 + ,02 
 
 160 
 
 319 
 
 '2,5 
 
 ,10 
 
 41 
 
 6045 
 
 *9, 
 
 ,4 
 
 66O 
 
 11199 
 
 + 0,8 
 
 ,'2 
 
 91 
 
 6246 
 
 29,3 
 
 + ,02 
 
 165 
 
 3'3 
 
 'i,6 
 
 ,08 
 
 415 
 
 6191 
 
 29,3 
 
 ,02 
 
 665 
 
 I I 200 
 
 - 0,4 
 
 ,'2 
 
 915 
 
 6100 
 
 29,2 
 
 ,00 
 
 17O 
 
 374 
 
 10,6 
 
 ,'2 
 
 42O 
 
 6338 
 
 29,5 
 
 + ,02 
 
 670 
 
 11195 
 
 i,4 
 
 ,08 
 
 920 
 
 5954 
 
 29,0 
 
 +,04 
 
 175 
 
 3024 
 
 9,6 
 
 ,08 
 
 425 
 
 6486 
 
 29,6 
 
 ,00 
 
 675 
 
 11186 
 
 2,4 
 
 ,'2 
 
 925 
 
 5810 
 
 28,6 
 
 ,04 
 
 180 
 
 0-02978 
 
 - 8,6 
 
 + ,12 
 
 0430 
 
 0-06634 
 
 + 29,7 
 
 + ,02 
 
 680 
 
 0-11171 
 
 - 3,5 
 
 -,IO 
 
 0930 
 
 0-05668 
 
 -28,3 
 
 + ,02 
 
 185 
 
 2938 
 
 7,6 
 
 ,08 
 
 435 
 
 6783 
 
 29,8 
 
 ,00 
 
 685 
 
 11151 
 
 4,6 
 
 ,12 
 
 935 
 
 5527 
 
 27,9 
 
 ,06 
 
 19O 
 
 2902 
 
 6,6 
 
 ,12 
 
 44O 
 
 6932 
 
 29,8 
 
 ,00 
 
 690 
 
 11125 
 
 5,6 
 
 ,08 
 
 94O 
 
 5389 
 
 27,5 
 
 ,02 
 
 195 
 
 2872 
 
 5,5 
 
 ,10 
 
 445 
 
 7081 
 
 19,8 
 
 ,00 
 
 695 
 
 11095 
 
 6,6 
 
 ,'2 
 
 945 
 
 5252 
 
 27,2 
 
 ,04 
 
 200 
 
 2847 
 
 4,4 
 
 ,12 
 
 45O 
 
 7230 
 
 29,8 
 
 ,00 
 
 7OO 
 
 11059 
 
 7,7 
 
 ,'0 
 
 95O 
 
 5117 
 
 26,7 
 
 ,06 
 
 205 
 
 0-02828 
 
 - 3,4 
 
 + ,08 
 
 O-455 
 
 0-07379 
 
 + 29,7 
 
 -,02 
 
 0-705 
 
 0-11018 
 
 - 8,7 
 
 -,10 
 
 955 
 
 0-04985 
 
 -26,1 
 
 + .06 
 
 21 
 
 2813 
 
 2,4 
 
 ,12 
 
 46O 
 
 757 
 
 29,6 
 
 ,00 
 
 71O 
 
 10972 
 
 9,7 
 
 ,1 
 
 96O 
 
 4856 
 
 25,6 
 
 ,04 
 
 215 
 
 2804 
 
 ',3 
 
 ,10 
 
 465 
 
 7675 
 
 29,4 
 
 -,4 
 
 715 
 
 10921 
 
 10,7 
 
 ,10 
 
 965 
 
 4729 
 
 25,' 
 
 ,06 
 
 220 
 
 2800 
 
 - 0,2 
 
 ,12 
 
 47O 
 
 7821 
 
 29,2 
 
 ,00 
 
 720 
 
 10865 
 
 11,6 
 
 ,08 
 
 970 
 
 4605 
 
 24,5 
 
 ,06 
 
 225 
 
 2802 
 
 + 0,8 
 
 ,08 
 
 475 
 
 7967 
 
 29,1 
 
 -,02 
 
 725 
 
 10805 
 
 12,6 
 
 ,'2 
 
 975 
 
 4484 
 
 23,9 
 
 ,06 
 
 0230 
 
 0-02808 
 
 + 1,8 
 
 + ,12 
 
 0480 
 
 0-081 12 
 
 + 28,8 
 
 -,4 
 
 0730 
 
 0-10739 
 
 -'3,6 
 
 -,08 
 
 0-980 
 
 0-04366 
 
 -23,2 
 
 + ,08 
 
 235 
 
 2820 
 
 3,o 
 
 ,12 
 
 485 
 
 8255 
 
 28,4 
 
 ,04 
 
 735 
 
 10669 
 
 '4,5 
 
 ,1 
 
 985 
 
 4252 
 
 22,5 
 
 ,06 
 
 24O 
 
 2838 
 
 4,o 
 
 ,08 
 
 49O 
 
 8396 
 
 28,1 
 
 ,02 
 
 740 
 
 10594 
 
 '5,4 
 
 ,08 
 
 99O 
 
 4141 
 
 21,9 
 
 ,06 
 
 245 
 
 2860 
 
 5,o 
 
 ,12 
 
 495 
 
 8536 
 
 27,8 
 
 ,4 
 
 745 
 
 10515 
 
 16,3 
 
 ,10 
 
 995 
 
 433 
 
 21,1 
 
 ,'0 
 
 250 
 
 0-02888 
 
 + 6,1 
 
 + ,10 
 
 500 
 
 0-08674 
 
 + 27,4 
 
 -,4 
 
 750 
 
 0-10431 
 
 -'7,2 
 
 -,08 
 
 1 000 
 
 0-03930 
 
 -20,3 
 
 + ,08 
 
 Applied Constant : 4-0 '07000, 
 43 
 
SATELLITE I 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XXII continued Equation of Longitude Argument K 
 
 I 
 
 2 
 
 3 
 
 4 
 
 i 
 
 i 
 
 3 
 
 4 
 
 I 
 
 2 
 
 3 
 
 4 
 
 I 
 
 2 
 
 3 
 
 4 
 
 K 
 
 Equa- 
 tion 
 
 A 
 Qd-OOI 
 
 *A 
 
 K 
 
 Equa- 
 tion 
 
 A 
 O d *OOI 
 
 4 ^ 
 
 K 
 
 Equa- 
 tion 
 
 A 
 O d 'OOI 
 
 I A" 
 
 K 
 
 Equa- 
 tion 
 
 A 
 O d 'OOI 
 
 |A 
 
 d 
 
 o 
 
 
 
 d 
 
 o 
 
 
 
 d 
 
 o 
 
 
 d 
 
 o 
 
 
 
 1 000 
 
 0-03930 
 
 -20,3 
 
 + ,08 
 
 1 250 
 
 0-04819 
 
 + 25,4 
 
 + ,08 
 
 1 500 
 
 0-10958 
 
 + IO,I 
 
 -,10 
 
 1 750 
 
 0^07568 
 
 -29,6 
 
 ,00 
 
 005 
 
 3830 
 
 19,6 
 
 ,08 
 
 255 
 
 4948 
 
 26,0 
 
 ,4 
 
 505 
 
 11006 
 
 9- 1 
 
 ,10 
 
 755 
 
 7420 
 
 29,6 
 
 ,00 
 
 01 o 
 
 3734 
 
 1 8,8 
 
 ,08 
 
 260 
 
 5080 
 
 26,5 
 
 ,5 
 
 51 
 
 11048 
 
 8,0 
 
 ,'2 
 
 76O 
 
 7272 
 
 29,7 
 
 -.02 
 
 015 
 
 3643 
 
 1 8,0 
 
 ,08 
 
 265 
 
 5214 
 
 27,0 
 
 ,04 
 
 515 
 
 11085 
 
 7,o 
 
 ,08 
 
 765 
 
 7123 
 
 2 9) 8 
 
 ,00 
 
 O20 
 
 3555 
 
 17,2 
 
 ,08 
 
 27O 
 
 5350 
 
 27,4 
 
 >4 
 
 520 
 
 11117 
 
 6,0 
 
 ,12 
 
 770 
 
 6974 
 
 2 9 ,8 
 
 ,00 
 
 O25 
 
 347i 
 
 16,3 
 
 ,10 
 
 275 
 
 5488 
 
 2 7 ,8 
 
 ,4 
 
 525 
 
 11144 
 
 4,9 
 
 ,'0 
 
 775 
 
 6825 
 
 2 9 ,8 
 
 ,00 
 
 1 030 
 
 0-03393 
 
 -'5,3 
 
 + ,10 
 
 i 280 
 
 0-05628 
 
 + 28,2 
 
 + ,04 
 
 1 530 
 
 0-11166 
 
 + 3,9 
 
 -,10 
 
 V78O 
 
 0-06676 
 
 -29,7 
 
 + ,02 
 
 O35 
 
 3319 
 
 '4,4 
 
 ,08 
 
 285 
 
 5770 
 
 28,5 
 
 ,2 
 
 535 
 
 11182 
 
 2,8 
 
 ,12 
 
 785 
 
 6528 
 
 29,6 
 
 ,00 
 
 040 
 
 3 H9 
 
 '3,5 
 
 ,1 
 
 29O 
 
 5913 
 
 28,7 
 
 ,02 
 
 540 
 
 11193 
 
 1,8 
 
 ,08 
 
 *79O 
 
 6380 
 
 29,5 
 
 + ,02 
 
 045 
 
 3i85 
 
 12,5 
 
 ,10 
 
 295 
 
 6058 
 
 29,0 
 
 ,4 
 
 545 
 
 11199 
 
 + 0,8 
 
 ,12 
 
 795 
 
 6233 
 
 29,3 
 
 + ,02 
 
 O5O 
 
 3i*5 
 
 11,6 
 
 ,08 
 
 3OO 
 
 6204 
 
 29,3 
 
 ,02 
 
 550 
 
 'II2OO 
 
 - ,4 
 
 ,12 
 
 80O 
 
 6087 
 
 29,2 
 
 ,00 
 
 1-065 
 
 0-03070 
 
 - 10,6 
 
 + ,ia 
 
 1 305 
 
 0-06351 
 
 + 29,5 
 
 + .02 
 
 1 555 
 
 0-III94 
 
 - ',4 
 
 -,08 
 
 1 805 
 
 0-05942 
 
 -29,0 
 
 + .04 
 
 060 
 
 3010 
 
 9,6 
 
 ,08 
 
 31 
 
 6499 
 
 29,6 
 
 ,02 
 
 56O 
 
 III84 
 
 2,4 
 
 ,12 
 
 810 
 
 5798 
 
 28,6 
 
 ,4 
 
 O65 
 
 2974 
 
 8,6 
 
 ,12 
 
 315 
 
 6647 
 
 29,7 
 
 ,02 
 
 565 
 
 II 169 
 
 3,5 
 
 ,10 
 
 815 
 
 5656 
 
 28,3 
 
 ,02 
 
 O7O 
 
 2935 
 
 7,6 
 
 ,08 
 
 32O 
 
 6796 
 
 29,8 
 
 + ,02 
 
 57O 
 
 III49 
 
 4,6 
 
 ,'2 
 
 820 
 
 5515 
 
 27,9 
 
 ,06 
 
 075 
 
 2899 
 
 6,6 
 
 ,12 
 
 325 
 
 6945 
 
 2 9 ,8 
 
 ,00 
 
 575 
 
 HIM 
 
 5,6 
 
 ,08 
 
 825 
 
 5377 
 
 27,5 
 
 ,02 
 
 1-080 
 
 0-02870 
 
 - 5,5 
 
 + ,10 
 
 1 330 
 
 0-07094 
 
 + 29,8 
 
 ,00 
 
 1 58O 
 
 o-i 1092 
 
 - 6,6 
 
 -.12 
 
 1 830 
 
 0-05240 
 
 -27,2 
 
 + ,04 
 
 O85 
 
 1845 
 
 4,4 
 
 ,'2 
 
 335 
 
 7243 
 
 2 9 ,8 
 
 ,00 
 
 585 
 
 i 1056 
 
 7,7 
 
 ,10 
 
 835 
 
 5104 
 
 26,7 
 
 ,06 
 
 090 
 
 2827 
 
 3,4 
 
 ,08 
 
 340 
 
 7392 
 
 29,7 
 
 -,02 
 
 590 
 
 i 1014 
 
 8,7 
 
 ,10 
 
 84O 
 
 4974 
 
 26,1 
 
 06 
 
 095 
 
 2812 
 
 2,4 
 
 ,12 
 
 345 
 
 754 
 
 29, 6 
 
 ,00 
 
 595 
 
 10968 
 
 9,7 
 
 ,'0 
 
 845 
 
 4845 
 
 25,6 
 
 ,04 
 
 100 
 
 2804 
 
 ',3 
 
 ,10 
 
 350 
 
 7688 
 
 29,4 
 
 -.04 
 
 600 
 
 10916 
 
 10,7 
 
 ,10 
 
 85O 
 
 4718 
 
 25, 
 
 ,06 
 
 1 105 
 
 0*02800 
 
 - 0,2 
 
 + ,12 
 
 1-355 
 
 0-07834 
 
 + 29,2 
 
 ,00 
 
 1 605 
 
 0-10860 
 
 -11,6 
 
 -,08 
 
 1-855 
 
 0-04595 
 
 -24,5 
 
 + ,06 
 
 11O 
 
 2802 
 
 + 0,8 
 
 ,08 
 
 360 
 
 7979 
 
 2 9 ,I 
 
 -,02 
 
 610 
 
 10799 
 
 12,6 
 
 ,'2 
 
 860 
 
 4474 
 
 23,9 
 
 ,06 
 
 115 
 
 2809 
 
 1,8 
 
 ,12 
 
 365 
 
 8124 
 
 28,8 
 
 ,04 
 
 615 
 
 10733 
 
 13,6 
 
 ,08 
 
 865 
 
 4356 
 
 23,2 
 
 ,08 
 
 12O 
 
 2822 
 
 3, 
 
 ,12 
 
 37O 
 
 8267 
 
 28,4 
 
 ,4 
 
 62O 
 
 10663 
 
 '4,5 
 
 ,10 
 
 870 
 
 4242 
 
 22,5 
 
 ,06 
 
 125 
 
 2840 
 
 4,o 
 
 ,08 
 
 375 
 
 8408 
 
 28,1 
 
 ,02 
 
 625 
 
 10588 
 
 '5,4 
 
 ,08 
 
 875 
 
 4'32 
 
 21,9 
 
 ,06 
 
 1 130 
 
 0-02862 
 
 + 5, 
 
 +.1* 
 
 1 380 
 
 0-08548 
 
 + 27,8 
 
 -,04 
 
 1 630 
 
 0-10508 
 
 -16,3 
 
 -,IO 
 
 1 880 
 
 0*04024 
 
 -21,1 
 
 + .10 
 
 135 
 
 2891 
 
 6,1 
 
 ,10 
 
 385 
 
 8686 
 
 27,4 
 
 ,4 
 
 635 
 
 10423 
 
 >7,2 
 
 ,08 
 
 885 
 
 392i 
 
 20,3 
 
 ,08 
 
 140 
 
 2924 
 
 7,i 
 
 ,10 
 
 390 
 
 8821 
 
 26,9 
 
 ,06 
 
 640 
 
 10335 
 
 18,1 
 
 ,10 
 
 890 
 
 3821 
 
 '9,5 
 
 ,08 
 
 145 
 
 2963 
 
 8,1 
 
 ,1 
 
 395 
 
 8954 
 
 26,4 
 
 ,04 
 
 645 
 
 10242 
 
 19,0 
 
 ,08 
 
 895 
 
 3726 
 
 1 8,7 
 
 ,08 
 
 150 
 
 3006 
 
 9,' 
 
 ,10 
 
 400 
 
 9085 
 
 25,9 
 
 ,06 
 
 65O 
 
 10144 
 
 9,7 
 
 ,06 
 
 9OO 
 
 3635 
 
 17,9 
 
 ,08 
 
 1-155 
 
 0-03055 
 
 + 10,2 
 
 + ,12 
 
 1 405 
 
 0-09213 
 
 + *5,4 
 
 -,4 
 
 1-655 
 
 0*10044 
 
 -20,4 
 
 -,08 
 
 1-9O5 
 
 0-03547 
 
 -i7,i 
 
 + ,08 
 
 160 
 
 3109 
 
 11,2 
 
 ,08 
 
 41 
 
 9339 
 
 2 4,9 
 
 ,06 
 
 66O 
 
 994 
 
 21,2 
 
 ,08 
 
 91 
 
 3464 
 
 16,2 
 
 ,10 
 
 165 
 
 3167 
 
 12,1 
 
 ,'0 
 
 415 
 
 9461 
 
 24,2 
 
 ,08 
 
 665 
 
 9831 
 
 22,0 
 
 ,08 
 
 915 
 
 3386 
 
 "5,2 
 
 ,10 
 
 17O 
 
 3*3' 
 
 '3,1 
 
 ,10 
 
 42O 
 
 9580 
 
 23,5 
 
 ,06 
 
 67O 
 
 9719 
 
 22,7 
 
 ,06 
 
 92O 
 
 3313 
 
 '4,3 
 
 ,08 
 
 175 
 
 3*99 
 
 14,0 
 
 ,08 
 
 425 
 
 9696 
 
 22,9 
 
 ,06 
 
 675 
 
 9604 
 
 23,3 
 
 ,06 
 
 925 
 
 3243 
 
 13,4 
 
 ,o 
 
 1 180 
 
 0-03372 
 
 + H.9 
 
 + ,io 
 
 1 43O 
 
 0-09808 
 
 + 22,3 
 
 -.06 
 
 1 680 
 
 0-09486 
 
 -24,0 
 
 -,08 
 
 1-930 
 
 0-03179 
 
 -12,4 
 
 + ,IO 
 
 185 
 
 3449 
 
 15,8 
 
 ,08 
 
 435 
 
 09918 
 
 21,6 
 
 ,08 
 
 685 
 
 9363 
 
 24,7 
 
 ,06 
 
 935 
 
 3120 
 
 ",5 
 
 ,08 
 
 190 
 
 3530 
 
 1 6,7 
 
 ,10 
 
 440 
 
 10024 
 
 20,8 
 
 ,08 
 
 690 
 
 9238 
 
 25,2 
 
 ,04 
 
 94O 
 
 3065 
 
 io,5 
 
 ,12 
 
 195 
 
 3617 
 
 17,6 
 
 ,08 
 
 445 
 
 10125 
 
 20,0 
 
 ,08 
 
 695 
 
 911 1 
 
 25,7 
 
 ,06 
 
 945 
 
 3016 
 
 9>5 
 
 ,08 
 
 200 
 
 3707 
 
 '8,5 
 
 ,'0 
 
 450 
 
 10223 
 
 19,2 
 
 ,08 
 
 70O 
 
 8981 
 
 26,3 
 
 ,06 
 
 950 
 
 2971 
 
 8,5 
 
 ,12 
 
 1 205 
 
 0*03802 
 
 + 19,3 
 
 + ,06 
 
 1 455 
 
 0-10317 
 
 + 18,3 
 
 -,IO 
 
 1 705 
 
 0-08847 
 
 -26,8 
 
 -.04 
 
 1-955 
 
 0*02932 
 
 - 7,5 
 
 + ,08 
 
 210 
 
 3901 
 
 20,0 
 
 ,08 
 
 460 
 
 10405 
 
 '7,5 
 
 ,06 
 
 71O 
 
 8712 
 
 27,2 
 
 ,4 
 
 960 
 
 2896 
 
 6,5 
 
 ,12 
 
 215 
 
 4003 
 
 20,8 
 
 ,08 
 
 465 
 
 10491 
 
 1 6,7 
 
 ,10 
 
 715 
 
 8575 
 
 27,6 
 
 ,4 
 
 965 
 
 2867 
 
 5,4 
 
 ,10 
 
 220 
 
 4109 
 
 21,6 
 
 ,08 
 
 470 
 
 10572 
 
 15,8 
 
 ,08 
 
 72O 
 
 8436 
 
 28,0 
 
 ,04 
 
 97O 
 
 2843 
 
 4,3 
 
 ,12 
 
 225 
 
 4220 
 
 22,3 
 
 ,06 
 
 475 
 
 10648 
 
 '4,9 
 
 ,10 
 
 725 
 
 8295 
 
 28,3 
 
 ,02 
 
 975 
 
 2825 
 
 3,3 
 
 ,08 
 
 1 230 
 
 0-04333 
 
 + 23,0 
 
 + ,08 
 
 1 480 
 
 0^10720 
 
 + 13,9 
 
 -,IO 
 
 1-73O 
 
 0-08153 
 
 -*8,6 
 
 -.04 
 
 1*980 
 
 0*02811 
 
 - 2,3 
 
 + ,'* 
 
 235 
 
 4450 
 
 23,7 
 
 ,06 
 
 485 
 
 10786 
 
 12,9 
 
 ,' 
 
 735 
 
 8009 
 
 28,9 
 
 ,02 
 
 985 
 
 2803 
 
 ',2 
 
 ,10 
 
 240 
 
 457i 
 
 24,3 
 
 ,06 
 
 490 
 
 10848 
 
 12,0 
 
 ,08 
 
 740 
 
 7863 
 
 29,2 
 
 ,4 
 
 990 
 
 2800 
 
 - 0,1 
 
 ,12 
 
 245 
 
 4694 
 
 24,8 
 
 ,04 
 
 495 
 
 10906 
 
 11,1 
 
 ,1 
 
 745 
 
 7716 
 
 29,5 
 
 -,02 
 
 995 
 
 2803 
 
 + 0,9 
 
 ,08 
 
 1 250 
 
 0-04819 
 
 + 25,4 
 
 + .08 
 
 1 500 
 
 0*10958 
 
 + 10,1 
 
 -,IO 
 
 1-750 
 
 0-07568 
 
 -29,6 
 
 ,00 
 
 2-000 
 
 0-02810 
 
 + i,9 
 
 + ,i* 
 
 Applied Constant : +0 -07000. 
 
SATELLITE I 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XXIII Equations of Longitude XXIV 
 
 I 
 
 
 
 p 
 
 Equation 
 
 d 
 00 
 
 
 
 0-00150 
 
 02 
 
 140 
 
 O4 
 
 129 
 
 06 
 
 119 
 
 08 
 
 no 
 
 10 
 
 I OX 
 
 O12 
 
 0*00094 
 
 14 
 
 88 
 
 16 
 
 83 
 
 18 
 
 79 
 
 2O 
 
 77 
 
 022 
 
 0-00076 
 
 24 
 
 77 
 
 26 
 
 79 
 
 28 
 
 82 
 
 30 
 
 87 
 
 032 
 
 0-00094 
 
 34 
 
 IOI 
 
 36 
 
 109 
 
 38 
 
 III 
 
 4O 
 
 128 
 
 042 
 
 0-00138 
 
 44 
 
 "49 
 
 46 
 
 '59 
 
 48 
 
 170 
 
 50 
 
 1 80 
 
 052 
 
 0-00189 
 
 54 
 
 197 
 
 56 
 
 205 
 
 58 
 
 211 
 
 6O 
 
 217 
 
 62 
 
 o-oozzi 
 
 64 
 
 223 
 
 66 
 
 224 
 
 68 
 
 223 
 
 7O 
 
 221 
 
 0-72 
 
 0-00218 
 
 74 
 
 213 
 
 76 
 
 207 
 
 78 
 
 2OO 
 
 SO 
 
 I 9 2 
 
 O-82 
 
 O-OOI83 
 
 84 
 
 173 
 
 86 
 
 I6 3 
 
 88 
 
 '5* 
 
 90 
 
 14* 
 
 092 
 
 0-00131 
 
 94 
 
 121 
 
 96 
 
 III 
 
 98 
 
 103 
 
 1 OO 
 
 0-00096 
 
 . 
 
 2 
 
 Q 
 
 Equation 
 
 d 
 00 
 
 o 
 
 0-00050 
 
 02 
 
 46 
 
 O4 
 
 4* 
 
 O6 
 
 38 
 
 08 
 
 35 
 
 10 
 
 3* 
 
 O12 
 
 o '00029 
 
 14 
 
 *7 
 
 16 
 
 *5 
 
 18 
 
 13 
 
 2O 
 
 *2 
 
 0.22 
 
 0-00012 
 
 24 
 
 22 
 
 26 
 
 *3 
 
 28 
 30 
 
 3 
 
 032 
 
 0-00029 
 
 34 
 
 31 
 
 36 
 
 35 
 
 38 
 
 3 
 
 4O 
 
 4 2 
 
 042 
 
 0-00046 
 
 44 
 
 5 
 
 46 
 
 54 
 
 48 
 
 57 
 
 50 
 
 61 
 
 052 
 
 0-00065 
 
 54 
 
 68 
 
 56 
 
 7i 
 
 58 
 
 73 
 
 60 
 
 75 
 
 062 
 
 0-00077 
 
 64 
 
 78 
 
 66 
 
 78 
 
 68 
 
 78 
 
 70 
 
 77 
 
 0-72 
 
 0-00076 
 
 74 
 
 74 
 
 76 
 
 7* 
 
 78 
 
 69 
 
 80 
 
 66 
 
 082 
 
 0-00062 
 
 84 
 
 59 
 
 86 
 
 55 
 
 88 
 
 5' 
 
 90 
 
 47 
 
 092 
 
 0-00043 
 
 94 
 
 39 
 
 96 
 
 36 
 
 98 
 
 3* 
 
 1 00 
 
 0-00030 
 
 Added Constant: o'ooi5o. 
 
 Added Constant : o'ooo5o. 
 
 45 
 
SATELLITE I 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XXV Equation of Variation of Radius Vector, Doubled Argument A 
 
 I 
 
 z 
 
 3 
 
 I 
 
 2 
 
 3 
 
 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 A 
 
 Equation 
 
 A 
 O d- OI 
 
 A 
 
 Equation 
 
 A 
 Qd'OI 
 
 A 
 
 Equation 
 
 A 
 O d 'OI 
 
 A 
 
 Equation 
 
 A 
 O d 'OI 
 
 d 
 
 
 
 d 
 
 
 
 d 
 
 
 
 d 
 
 
 
 000 
 
 -00868 
 
 O 
 
 1 00 
 
 + -00707 
 
 - 12 
 
 200 
 
 -00589 
 
 + 22 
 
 300 
 
 + 00214 
 
 -28 
 
 02 
 
 866 
 
 + * 
 
 02 
 
 68 1 
 
 H 
 
 02 
 
 544 
 
 23 
 
 02 
 
 158 
 
 29 
 
 O4 
 
 860 
 
 4 
 
 04 
 
 652 
 
 16 
 
 04 
 
 496 
 
 2 5 
 
 04 
 
 IOO 
 
 29 
 
 06 
 
 849 
 
 6 
 
 O6 
 
 618 
 
 18 
 
 O6 
 
 446 
 
 26 
 
 O6 
 
 + 42 
 
 Z 9 
 
 08 
 
 834 
 
 9 
 
 08 
 
 582 
 
 '9 
 
 08 
 
 393 
 
 27 
 
 08 
 
 '7 
 
 3 
 
 1O 
 
 815 
 
 n 
 
 1O 
 
 542 
 
 21 
 
 1O 
 
 339 
 
 27 
 
 1O 
 
 76 
 
 30 
 
 012 
 
 - -00792 
 
 + 13 
 
 1-12 
 
 + -00499 
 
 - 22 
 
 2-12 
 
 - '00284 
 
 + 28 
 
 312 
 
 -00135 
 
 -30 
 
 14 
 
 765 
 
 '5 
 
 14 
 
 454 
 
 23 
 
 14 
 
 228 
 
 2 9 
 
 14 
 
 194 
 
 Z 9 
 
 16 
 
 734 
 
 16 
 
 16 
 
 406 
 
 25 
 
 16 
 
 170 
 
 *9 
 
 16 
 
 252 
 
 2 9 
 
 18 
 
 700 
 
 18 
 
 18 
 
 356 
 
 26 
 
 18 
 
 112 
 
 29 
 
 18 
 
 308 
 
 28 
 
 20 
 
 662 
 
 20 
 
 20 
 
 34 
 
 27 
 
 2O 
 
 53 
 
 30 
 
 2O 
 
 363 
 
 27 
 
 022 
 
 - '0062 1 
 
 + 21 
 
 1-22 
 
 + 00250 
 
 -28 
 
 2-22 
 
 + '00006 
 
 + 29 
 
 3-22 
 
 + '00417 
 
 -27 
 
 24 
 
 S78 
 
 23 
 
 24 
 
 '95 
 
 28 
 
 24 
 
 64 
 
 29 
 
 24 
 
 469 
 
 2 5 
 
 26 
 
 531 
 
 24 
 
 26 
 
 138 
 
 29 
 
 26 
 
 122 
 
 29 
 
 26 
 
 518 
 
 Z 4 
 
 28 
 
 483 
 
 *5 
 
 28 
 
 So 
 
 *9 
 
 28 
 
 I 7 8 
 
 28 
 
 28 
 
 566 
 
 23 
 
 30 
 
 43* 
 
 7 
 
 30 
 
 + 22 
 
 29 
 
 30 
 
 234 
 
 28 
 
 30 
 
 611 
 
 21 
 
 0-32 
 
 -00379 
 
 + 27 
 
 1-32 
 
 -O0036 
 
 -19 
 
 2-32 
 
 + 00289 
 
 + 27 
 
 3'32 
 
 - -00651 
 
 - ^o 
 
 34 
 
 3*4 
 
 18 
 
 34 
 
 95 
 
 30 
 
 34 
 
 342 
 
 26 
 
 34 
 
 689 
 
 '9 
 
 36 
 
 268 
 
 9 
 
 36 
 
 '54 
 
 29 
 
 36 
 
 393 
 
 25 
 
 36 
 
 725 
 
 '7 
 
 38 
 
 2IO 
 
 29 
 
 38 
 
 212 
 
 29 
 
 38 
 
 44 ' 
 
 24 
 
 38 
 
 757 
 
 '5 
 
 40 
 
 '5' 
 
 *9 
 
 40 
 
 270 
 
 29 
 
 4O 
 
 487 
 
 22 
 
 40 
 
 785 
 
 '3 
 
 042 
 
 - -00093 
 
 + 29 
 
 1 42 
 
 -00326 
 
 -28 
 
 2-42 
 
 + 00530 
 
 + 21 
 
 3-42 
 
 - -00808 
 
 - n 
 
 44 
 
 34 
 
 3 
 
 44 
 
 380 
 
 27 
 
 44 
 
 57' 
 
 2O 
 
 44 
 
 829 
 
 9 
 
 46 
 
 + 26 
 
 3 
 
 46 
 
 432 
 
 26 
 
 46 
 
 609 
 
 ll 
 
 46 
 
 845 
 
 7 
 
 48 
 
 84 
 
 29 
 
 48 
 
 483 
 
 25 
 
 48 
 
 643 
 
 16 
 
 48 
 
 857 
 
 5 
 
 50 
 
 142 
 
 29 
 
 50 
 
 531 
 
 Z 4 
 
 5O 
 
 674 
 
 '5 
 
 5O 
 
 865 
 
 3 
 
 052 
 
 + 00198 
 
 + 28 
 
 1-52 
 
 -00577 
 
 12 
 
 2-52 
 
 + 00701 
 
 + '3 
 
 3-52 
 
 - -00868 
 
 - i 
 
 54 
 
 254 
 
 28 
 
 54 
 
 62O 
 
 21 
 
 54 
 
 724 
 
 n 
 
 54 
 
 867 
 
 + 2 
 
 56 
 
 308 
 
 *7 
 
 56 
 
 661 
 
 20 
 
 56 
 
 744 
 
 9 
 
 56 
 
 86 1 
 
 4 
 
 58 
 
 360 
 
 26 
 
 58 
 
 698 
 
 If 
 
 58 
 
 760 
 
 7 
 
 58 
 
 851 
 
 6 
 
 60 
 
 4" 
 
 25 
 
 6O 
 
 732 
 
 16 
 
 60 
 
 77' 
 
 5 
 
 60 
 
 838 
 
 8 
 
 O 62 
 
 + -00459 
 
 + 23 
 
 1-62 
 
 - -00763 
 
 -'5 
 
 2-62 
 
 + 00779 
 
 + 3 
 
 362 
 
 -00821 
 
 + 10 
 
 64 
 
 504 
 
 22 
 
 64 
 
 790 
 
 13 
 
 64 
 
 782 
 
 + i 
 
 64 
 
 799 
 
 12 
 
 66 
 
 546 
 
 21 
 
 66 
 
 813 
 
 1 1 
 
 66 
 
 782 
 
 - i 
 
 66 
 
 773 
 
 '4 
 
 68 
 
 586 
 
 '9 
 
 68 
 
 833 
 
 9 
 
 68 
 
 777 
 
 4 
 
 68 
 
 743 
 
 If 
 
 7O 
 
 623 
 
 '7 
 
 70 
 
 847 
 
 6 
 
 70 
 
 768 
 
 6 
 
 7O 
 
 710 
 
 ll 
 
 072 
 
 + 00655 
 
 + 15 
 
 1 72 
 
 -00858 
 
 - 5 
 
 2-72 
 
 + -00754 
 
 - 8 
 
 3-72 
 
 00673 
 
 + 19 
 
 74 
 
 684. 
 
 4 
 
 74 
 
 865 
 
 - 3 
 
 74 
 
 737 
 
 10 
 
 74 
 
 634 
 
 21 
 
 76 
 
 710 
 
 12 
 
 76 
 
 868 
 
 o 
 
 76 
 
 716 
 
 n 
 
 76 
 
 59' 
 
 22 
 
 78 
 
 73* 
 
 10 
 
 78 
 
 866 
 
 + 2 
 
 78 
 
 692 
 
 "3 
 
 78 
 
 545 
 
 2 4 
 
 80 
 
 750 
 
 8 
 
 80 
 
 861 
 
 4 
 
 80 
 
 664 
 
 '5 
 
 80 
 
 496 
 
 25 
 
 082 
 
 + -00764 
 
 + 6 
 
 1 82 
 
 -00851 
 
 + 6 
 
 2-82 
 
 + 00631 
 
 -17 
 
 3-82 
 
 - -00446 
 
 + 26 
 
 84 
 
 775 
 
 4 
 
 84 
 
 837 
 
 8 
 
 84 
 
 596 
 
 '9 
 
 84 
 
 393 
 
 27 
 
 86 
 
 781 
 
 + 2 
 
 86 
 
 819 
 
 10 
 
 86 
 
 557 
 
 20 
 
 86 
 
 339 
 
 28 
 
 88 
 
 783 
 
 O 
 
 88 
 
 797 
 
 12 
 
 88 
 
 5'5 
 
 22 
 
 88 
 
 282 
 
 29 
 
 90 
 
 780 
 
 2 
 
 9O 
 
 771 
 
 14 
 
 90 
 
 47' 
 
 23 
 
 9O 
 
 225 
 
 2 9 
 
 92 
 
 + -00774 
 
 - 4 
 
 1 92 
 
 - -00742 
 
 + 16 
 
 292 
 
 + 00423 
 
 -24 
 
 3-92 
 
 -00167 
 
 + 2 9 
 
 94 
 
 763 
 
 6 
 
 94 
 
 708 
 
 ll 
 
 94 
 
 374 
 
 *5 
 
 94 
 
 108 
 
 3 
 
 96 
 
 749 
 
 8 
 
 96 
 
 671 
 
 '9 
 
 96 
 
 322 
 
 26 
 
 96 
 
 49 
 
 3 
 
 98 
 
 730 
 
 II 
 
 98 
 
 632 
 
 21 
 
 98 
 
 269 
 
 27 
 
 98 
 
 + 10 
 
 29 
 
 1 00 
 
 + -00707 
 
 - 12 
 
 200 
 
 - -00589 
 
 + 22 
 
 3-00 
 
 + 00214 
 
 -28 
 
 4-00 
 
 + -00068 
 
 29 
 
 Applied Constant : - '00040. 
 
 The Equation of tills Table must be supplemented by these of Tables XXVI-XXIX. 
 
 46 
 
SATELLITE I 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 Equations of Variation of Radius Vector, Doubled 
 XXVI XXVII XXVIII XXIX 
 
 I 
 
 z 
 
 B 
 
 Equation 
 
 d 
 
 00 
 
 + -00009 
 
 1 
 
 9 
 
 2 
 
 n 
 
 3 
 
 ii 
 
 4 
 
 '3 
 
 5 
 
 >3 
 
 06 
 
 + 00013 
 
 7 
 
 ii 
 
 8 
 
 10 
 
 9 
 
 9 
 
 1O 
 
 6 
 
 11 
 
 + -00005 
 
 2 
 
 5 
 
 3 
 
 6 
 
 4 
 
 7 
 
 5 
 
 10 
 
 1-6 
 
 + 0001 1 
 
 7 
 
 '3 
 
 8 
 
 '3 
 
 9 
 
 '3 
 
 20 
 
 it 
 
 2-1 
 
 + 00011 
 
 2 
 
 10 
 
 3 
 
 9 
 
 4 
 
 9 
 
 25 
 
 + 00010 
 
 i 
 
 
 
 C 
 
 Equation 
 
 d 
 
 00 
 
 + -oooo i 
 
 1 
 
 2 
 
 2 
 
 3 
 
 3 
 
 6 
 
 4 
 
 9 
 
 5 
 
 is 
 
 06 
 
 + 00015 
 
 7 
 
 i7 
 
 8 
 
 '9 
 
 9 
 
 '9 
 
 1-0 
 
 18 
 
 1-1 
 
 + 00016 
 
 2 
 
 '4 
 
 3 
 
 n 
 
 4 
 
 8 
 
 5 
 
 5 
 
 1-6 
 
 + -00003 
 
 7 
 
 i 
 
 8 
 
 i 
 
 9 
 
 2 
 
 2-0 
 
 + '00004 
 
 I 
 
 2 
 
 D 
 
 Equation 
 
 d 
 
 
 00 
 
 + -00003 
 
 1 
 
 3 
 
 2 
 
 5 
 
 3 
 
 7 
 
 4 
 
 9 
 
 5 
 
 ii 
 
 06 
 7 
 
 + -00014 
 16 
 
 8 
 
 17 
 
 9 
 
 17 
 
 1-0 
 
 16 
 
 11 
 
 + 00015 
 
 2 
 
 13 
 
 3 
 
 n 
 
 4 
 
 8 
 
 5 
 
 6 
 
 1-6 
 
 + -00004 
 
 7 
 
 3 
 
 8 
 
 3 
 
 9 
 
 4 
 
 20 
 
 + -00005 
 
 Added Constant : -K'oooio. 
 
 Added Constant : +"'00010. 
 
 i 
 
 z 
 
 E 
 
 Equation 
 
 d 
 00 
 
 + -00007 
 
 1 
 
 7 
 
 2 
 
 8 
 
 3 
 
 9 
 
 4 
 
 10 
 
 5 
 
 ii 
 
 OB 
 
 + 000 1 2 
 
 7 
 
 12 
 
 8 
 
 '3 
 
 9 
 
 13 
 
 10 
 
 '3 
 
 1-1 
 
 + 000 1 2 
 
 2 
 
 II 
 
 3 
 
 10 
 
 4 
 
 9 
 
 5 
 
 8 
 
 1-6 
 
 + -00008 
 
 7 
 
 7 
 
 8 
 
 7 
 
 9 
 
 7 
 
 2-0 
 
 + -00008 
 
 Added Constant : +'00010. 
 
 Added Constant : +'-00010. 
 
 47 
 
SATELLITE I 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XXX Equation of Latitude Argument K 
 
 I 
 
 z 
 
 3 
 
 4 
 
 i 
 
 2 
 
 3 
 
 4 
 
 I 
 
 2 
 
 3 4 
 
 I 
 
 2 
 
 3 
 
 4 
 
 K 
 
 Equa- 
 tion 
 
 A 
 O d 'OOI 
 
 i* 1 
 
 K 
 
 Equa- 
 tion 
 
 A 
 O d 'OOI 
 
 4 A 2 
 
 K 
 
 Equa- 
 tion 
 
 A 
 Qd'OOI 
 
 iA 2 
 
 K 
 
 Equa- 
 tion 
 
 A 
 Od'OOI 
 
 IA 2 
 
 d 
 
 
 
 
 d 
 
 
 
 
 d 
 
 
 
 
 d 
 
 
 
 
 0000 
 
 35000 
 
 + 120,3 
 
 ,00 
 
 0250 
 
 61305 
 
 + 76,2 
 
 -,16 
 
 0500 
 
 68217 
 
 24,5 
 
 -.22 
 
 O-75O 
 
 50588 
 
 - 106,9 
 
 -.10 
 
 O05 
 
 35601 
 
 120,3 
 
 ,00 
 
 255 
 
 61682 
 
 74,6 
 
 ,16 
 
 505 
 
 68089 
 
 26,7 
 
 ,20 
 
 755 
 
 50051 
 
 107,9 
 
 ,10 
 
 01 o 
 
 36203 
 
 1*0,3 
 
 ,00 
 
 26O 
 
 62051 
 
 72,8 
 
 ,18 
 
 51 
 
 67950 
 
 28,8 
 
 ,22 
 
 760 
 
 49509 108,9 
 
 ,10 
 
 O1 6 
 
 36804 
 
 120,1 
 
 -,02 
 
 265 
 
 62410 
 
 71,0 
 
 ,18 
 
 515 
 
 67801 
 
 3,9 
 
 ,20 
 
 765 
 
 48962 109,7 
 
 ,08 
 
 O2O 
 
 3744 
 
 "9>9 
 
 ,02 
 
 27O 
 
 62761 
 
 69.3 
 
 ,16 
 
 52O 
 
 67641 
 
 32,9 
 
 ,20 
 
 77O -48412 110,5 
 
 ,08 
 
 025 
 
 38003 
 
 119,8 
 
 ,02 
 
 275 
 
 63103 
 
 67,6 
 
 ,18 
 
 525 
 
 67472 
 
 34,9 
 
 ,20 
 
 775 
 
 47857 111,4 
 
 ,08 
 
 O-03O 
 
 38602 
 
 + 119,6 
 
 -,02 
 
 0280 
 
 63437 
 
 + 65,8 
 
 -,18 
 
 530 
 
 67292 
 
 - 37,o 
 
 -,22 
 
 O'780 -47298 
 
 -112,2 
 
 -.08 
 
 O35 
 
 '39'99 
 
 i'9,4 
 
 ,02 
 
 285 
 
 63761 
 
 64,0 
 
 ,18 
 
 535 
 
 67102 
 
 39,i 
 
 ,20 
 
 785 
 
 46735 
 
 112,9 
 
 ,08 
 
 O4O 
 
 3979 6 
 
 119,1 
 
 ,04 
 
 290 
 
 64077 
 
 62,2 
 
 ,20 
 
 54O 
 
 66901 41,1 
 
 ,20 
 
 790 
 
 46169 
 
 "3,6 
 
 ,06 
 
 O45 
 
 40390 1 1 8, 8 
 
 ,02 
 
 295 
 
 64383 
 
 60,3 
 
 ,18 
 
 545 
 
 66691 43,1 
 
 ,20 
 
 795 
 
 '45599 
 
 "4,3 
 
 ,08 
 
 O50 
 
 40984 
 
 118,5 
 
 ,04 
 
 300 
 
 64680 
 
 58,5 
 
 ,18 
 
 550 
 
 66470 
 
 45,i 
 
 ,20 
 
 80O 
 
 45026 
 
 "5, 
 
 ,06 
 
 O-O5S 
 
 41575 
 
 + 118,1 
 
 -.04 
 
 0305 
 
 64968 
 
 + 5 6 >5 
 
 -,20 
 
 0555 
 
 66240 
 
 - 47,i 
 
 -,20 
 
 O8O5 
 
 '44449 
 
 -"5,7 
 
 -,06 
 
 O60 
 
 4*165 
 
 "7,7 
 
 ,4 
 
 31 
 
 65245 
 
 54,6 
 
 ,18 
 
 56O 
 
 65999 
 
 49,o 
 
 ,18 
 
 81 
 
 43869 
 
 "6,3 
 
 ,06 
 
 O65 
 
 42752; 117,2 
 
 ,06 
 
 315 
 
 65514 
 
 52,7 
 
 ,20 
 
 565 
 
 65750 
 
 50,9 
 
 ,20 
 
 815 
 
 43286 
 
 1 1 6,7 
 
 ,4 
 
 O7O 
 
 '43337 
 
 1 1 6,6 
 
 ,06 
 
 32O 
 
 65772 
 
 50,7 
 
 ,20 
 
 570 
 
 6549 
 
 S3, 
 
 ,20 
 
 82O 
 
 42702 
 
 117,1 
 
 ,06 
 
 O75 
 
 439i 8 
 
 1 1 6, i 
 
 ,04 
 
 325 
 
 66021 
 
 48,8 
 
 ,18 
 
 575 
 
 65220 
 
 54,9 
 
 ,'8 
 
 825 
 
 42115 
 
 "7,6 
 
 ,4 
 
 OO8O 
 
 44498 
 
 + 115,6 
 
 -.06 
 
 0330 
 
 66260 
 
 + 46,9 
 
 -.20 
 
 0580 
 
 64941 - 56,7 
 
 -,20 
 
 O83O 
 
 41526 
 
 - 118,1 
 
 -.04 
 
 O85 
 
 45074 114,9 
 
 ,08 
 
 '335 '66490 
 
 45,0 
 
 ,20 
 
 585 
 
 64653 58,6 
 
 ,18 
 
 835 
 
 40934 
 
 118,5 
 
 ,4 
 
 O90 
 
 45647; 114,3 
 
 ,06 
 
 34O -66710 
 
 43,o 
 
 ,20 
 
 590 
 
 64355 60,5 
 
 ,18 
 
 840 
 
 4034 1 
 
 "8,9 
 
 ,04 
 
 095 
 
 46217 113,7 
 
 ,06 
 
 345 '66920 
 
 40,9 
 
 ,20 
 
 595 
 
 64048 62,3 
 
 ,18 
 
 845 
 
 39745 
 
 119,1 
 
 ,02 
 
 100 
 
 46784 112,9 
 
 ,08 
 
 35O -67119 
 
 38,9 
 
 ,20 
 
 600 
 
 63733 64,1 
 
 ,20 
 
 85O 
 
 39150 
 
 "9,3 
 
 ,02 
 
 O-1O5 -47346+112,1 
 
 -.08 
 
 0355 
 
 67309 
 
 + 36,9 
 
 -,20 
 
 O 605 
 
 63407 
 
 - 66,0 
 
 -,16 
 
 O-855 
 
 38552 
 
 -"9,7 
 
 -,4 
 
 110 i-47905! ui,3 
 
 ,08 
 
 360 
 
 67488 
 
 34,8 
 
 ,22 
 
 610 
 
 63073 
 
 67,7 
 
 ,18 
 
 860 
 
 '37953 
 
 "9,9 
 
 ,00 
 
 115 -48459 110,5 
 
 ,08 
 
 365 
 
 67657 
 
 32,7 
 
 ,20 
 
 615 
 
 62730 69,4 
 
 ,18 
 
 865 
 
 '37353 
 
 120,0 
 
 -,02 
 
 12O -49010 109,7 
 
 ,10 
 
 37O 
 
 67815 
 
 30,6 
 
 ,20 
 
 620 
 
 62379 71,2 
 
 ,18 
 
 870 -36753 
 
 120,2 
 
 -,02 
 
 125 -49556 108,8 
 
 ,08 
 
 375 
 
 67963 
 
 28,5 
 
 ,22 
 
 625 
 
 62018 
 
 72,9 
 
 ,16 
 
 875 
 
 36151 
 
 120,3 
 
 ,00 
 
 O-13O -50098 +107,9 
 
 -,IO 
 
 0380 
 
 68100 
 
 + 26,5 
 
 -,20 
 
 0630 
 
 61650 - 74,6 
 
 -.18 
 
 O-88O 
 
 35550 
 
 - 120,2 
 
 ,00 
 
 135 "50635 106,9 
 
 ,'0 
 
 385 
 
 68228 24,4 
 
 ,22 
 
 635 
 
 61272 76,3 
 
 ,16 
 
 885 
 
 '34949 
 
 I 20, 2 
 
 ,00 
 
 14O -51167 105,9 
 
 ,10 
 
 39O 
 
 68344! 22,3 
 
 ,20 
 
 640 
 
 60887 77,9 
 
 ,16 
 
 89O 
 
 3434 8 
 
 120,2 
 
 ,00 
 
 145 -51694 104,9 ,10 
 
 395 
 
 '68451 ! 20,2 
 
 ,22 
 
 645 
 
 60493 : 79,5 
 
 ,16 
 
 895 
 
 '33747 
 
 120,3 
 
 ,00 
 
 15O -52216 
 
 103,8 
 
 ,'2 
 
 4OO -68546 
 
 1 8,0 
 
 ,20 
 
 650 
 
 60092 
 
 81,1 
 
 ,16 
 
 90O 
 
 '33'45 
 
 120,2 
 
 + ,02 
 
 O-155 -52732 
 
 + 102,6 -,I2 
 
 0405 
 
 68631 
 
 + '5,9 
 
 -,22 
 
 0655 
 
 59682 
 
 - 82,7 
 
 -.16 
 
 905 
 
 32545 
 
 - 120,0 
 
 + .02 
 
 16O i '5324* 
 
 101,5 
 
 ,10 
 
 41 
 
 68705 
 
 13,8 
 
 ,20 
 
 660 
 
 59265 
 
 84,2 
 
 ,4 
 
 91 
 
 31945 
 
 "9,8 
 
 ,02 
 
 165 -53747 
 
 100,2 
 
 ,12 
 
 415 
 
 68769 
 
 11,8 
 
 ,22 
 
 665 
 
 58840 
 
 85,7 
 
 ,16 
 
 915 
 
 '3'347 
 
 119,6 
 
 ,02 
 
 170 -54244 
 
 99,o 
 
 ,12 
 
 420 
 
 '68823 
 
 9,6 
 
 , 
 
 670 
 
 58408 
 
 87,2 
 
 ,'4 
 
 92O 
 
 30749 
 
 "9,4 
 
 ,02 
 
 175 
 
 '54737 
 
 97,9 
 
 ,12 
 
 425 
 
 68865 
 
 7,4 
 
 ,20 
 
 675 
 
 57968 
 
 88,7 
 
 ,16 
 
 925 
 
 30153 
 
 119,0 
 
 ,4 
 
 O-180 
 
 55225 
 
 + 96,8 
 
 -,'4 
 
 0430 
 
 68897 
 
 + 5,3 
 
 -,22 
 
 0680 
 
 57521 
 
 - 9,' 
 
 -,i4 
 
 0930 -29559 
 
 -118,8 
 
 + ,02 
 
 185 
 
 55705 
 
 95,4 
 
 ,'2 
 
 435 
 
 68918 
 
 3,i 
 
 ,22 
 
 685 
 
 57067 
 
 9'-5 
 
 ,'4 
 
 935 -28965 
 
 118,6 
 
 ,04 
 
 ISO 
 
 56179 
 
 94, 1 
 
 ,H 
 
 440 
 
 68928 
 
 + 1,0 
 
 ,20 
 
 690 
 
 56606 
 
 93,o 
 
 ,H 
 
 940 ! -28373 
 
 1 1 8, i 
 
 ,04 
 
 195 
 
 56646 
 
 92,8 ,14 
 
 445 
 
 68928 
 
 - 1,1 
 
 ,22 
 
 695 
 
 56137 
 
 94,3 
 
 ,12 
 
 945 -27784 
 
 117,6 
 
 ,06 
 
 20O 
 
 57107 
 
 9Mj ,14 
 
 450 
 
 68917 
 
 3,3 
 
 ,22 
 
 700 
 
 55663 
 
 95,6 
 
 ,H 
 
 95O -27197 
 
 117,1 
 
 ,4 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 0-205 
 
 57560 
 
 + 89,9 
 
 -,H 
 
 0455 
 
 68895 ; - 5,5 
 
 -,22 
 
 705 
 
 55181 
 
 - 96,9 
 
 -,'* 
 
 O955 
 
 26613 
 
 -116,6 
 
 + ,06 
 
 210 
 
 58006 
 
 88,5; ,14 
 
 460 
 
 68862 
 
 7,6 
 
 ,20 
 
 71O 
 
 54694 
 
 98,0 
 
 ,12 
 
 96O 
 
 26031 
 
 1 1 6, i 
 
 ,06 
 
 215 
 
 58445 
 
 87,3 ,16 
 
 465 
 
 68819 
 
 9,7 
 
 ,22 
 
 715 -54201 
 
 99> 2 
 
 ,12 
 
 965 
 
 25452 
 
 "5,5 
 
 ,06 
 
 22O 
 
 58877 
 
 85,6 
 
 ,'4 
 
 47O 
 
 68765 
 
 ",9 
 
 ,22 
 
 72O ! -53702 
 
 100,4 
 
 ,12 
 
 97O i -24876 
 
 "4,8 
 
 ,06 
 
 225 
 
 59301 
 
 83,9 
 
 ,16 
 
 475 
 
 68700 
 
 14,0 
 
 ,20 
 
 725 -53197 
 
 101,6 
 
 ,'2 
 
 975 '24384 
 
 "4,2 
 
 ,06 
 
 O23O 
 
 59718 
 
 + 82,6 
 
 -,16 
 
 O-48O 
 
 68625 
 
 - 1 6,2 
 
 -,22 
 
 0730 
 
 52686 
 
 - 102,8 
 
 -,I2 
 
 O980 
 
 23734 
 
 -"3,5 
 
 + ,08 
 
 235 -60127 
 
 81,0 
 
 ,16 
 
 485 
 
 68538 
 
 18,4 
 
 ,20 
 
 735 
 
 52169 
 
 103,9 
 
 ,o 
 
 985 -23169 
 
 112,7 
 
 ,08 
 
 24O -60528 
 
 79>3 
 
 ,16 
 
 490 
 
 68441 
 
 20,4 
 
 ,22 
 
 740 
 
 51647 
 
 104,9 
 
 ,10 
 
 '99O -22607 
 
 112,1 
 
 ,06 
 
 245 '60920 
 
 77,7 
 
 ,16 
 
 495 
 
 68334 
 
 22,4 
 
 ,20 
 
 745 
 
 51120 
 
 105,9 
 
 ,1 
 
 995 -22048 
 
 "i,3 
 
 ,'0 
 
 O-25O 
 
 61305 
 
 + 76,* 
 
 -,16 
 
 0-5OO 1-68217 
 
 - 24,5 
 
 -,22 
 
 O 750 
 
 50588 
 
 - 106,9 
 
 -,IO 
 
 1 OOO -21494 
 
 -"0,3 
 
 + ,08 
 
 
 
 
 1 
 
 
 
 
 
 
 
 
 
 Added Constant : 0-35000. For Eclipses, and as the argument of Table XXXVII, the Equation of this Table must be supplemented by those 
 
 of Tables XXXI-XXXIV. For the other phenomena it must be also modified by Tables XXXV, XXXVI. 
 
SATELLITE I 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XXX continued Equation of Latitude Argument K 
 
 I 
 
 2 
 
 3 
 
 4 
 
 I 
 
 2 
 
 3 
 
 4 
 
 i 
 
 2 
 
 3 
 
 4 
 
 I 
 
 2 
 
 3 
 
 4 
 
 K 
 
 Equa- 
 tion 
 
 A 
 O d 'OOI 
 
 JA' 
 
 K 
 
 Equa- 
 tion 
 
 A 
 O d 'OOI 
 
 4 A* 
 
 K 
 
 Equa- 
 tion 
 
 A 
 O d 'OOI 
 
 4 A 2 
 
 K 
 
 Equa- 
 tion 
 
 A 
 O d 'OOI 
 
 4 A" 
 
 d 
 
 
 
 
 d 
 
 
 
 
 d 
 
 
 
 
 d 
 
 
 
 
 1 000 
 
 21494 
 
 -110,3 
 
 + ,08 
 
 1 250 
 
 02330 
 
 - 32,6 
 
 + ,22 
 
 1 500 
 
 07298 
 
 + 69,6 
 
 + ,18 
 
 1 75O 
 
 32699 
 
 + 120,0 
 
 ,00 
 
 O05 
 
 20945 
 
 10 9.5 
 
 ,08 
 
 255 
 
 "02172 
 
 30,5 
 
 ,20 
 
 505 
 
 07651 
 
 71,3 
 
 ,16 
 
 755 
 
 33299 
 
 120,1 
 
 + ,02 
 
 01 o 
 
 20399 
 
 108,7 
 
 ,10 
 
 260 
 
 02025 
 
 28,5 
 
 ,20 
 
 510 
 
 0801 1 
 
 73,o 
 
 ,18 
 
 760 
 
 33900 
 
 120,3 
 
 ,00 
 
 O1 5 
 
 19858 
 
 107,9 
 
 ,10 
 
 265 
 
 01887 
 
 26,4 
 
 ,22 
 
 515 
 
 08381 
 
 74,8 
 
 ,16 
 
 765 
 
 34502 
 
 120,1 
 
 ,00 
 
 O2O 
 
 19321 
 
 106,9 
 
 ,10 
 
 270 
 
 01761 
 
 24,1 
 
 ,20 
 
 520 
 
 08759 
 
 76,5 
 
 ,18 
 
 770 
 
 35103 
 
 I 2O,2 
 
 ,00 
 
 025 
 
 18789 
 
 105,7 
 
 ,10 
 
 275 
 
 01646 
 
 21,9 
 
 ,22 
 
 525 
 
 09146 
 
 78,3 
 
 ,16 
 
 775 
 
 35704 
 
 120,3 
 
 ,00 
 
 1 030 
 
 18263 
 
 - !4>7 
 
 + ,10 
 
 1 280 
 
 01542 
 
 - 20,0 
 
 + ,20 
 
 1 530 
 
 09541 
 
 + 79,6 
 
 + ,16 
 
 1-78O 
 
 36306 
 
 + 1 20,4 
 
 ,00 
 
 035 
 
 17742 
 
 103,7 
 
 ,10 
 
 285 
 
 01446 
 
 18,0 
 
 ,22 
 
 535 
 
 09942 
 
 ifj 
 
 ,16 
 
 785 
 
 36908 
 
 1 20,2 
 
 -,02 
 
 O4O 
 
 17226 
 
 102,6 
 
 ,12 
 
 29O 
 
 01362 
 
 5,8 
 
 ,22 
 
 540 
 
 10354 
 
 83,0 
 
 ,4 
 
 79O 
 
 37508 
 
 119,9 
 
 ,0* 
 
 045 
 
 16716 
 
 101,4 
 
 ,12 
 
 295 
 
 01288 
 
 13,7 
 
 ,20 
 
 545 
 
 10772 
 
 84,3 
 
 ,16 
 
 795 
 
 38107 
 
 119,8 
 
 ,02 
 
 050 
 
 16212 
 
 100,2 
 
 ,12 
 
 300 
 
 01225 
 
 ",5 
 
 ,22 
 
 550 
 
 11197 
 
 85,8 
 
 ,6 
 
 800 
 
 38706 
 
 119,6 
 
 ,02 
 
 1 055 
 
 15714 
 
 - 99.o 
 
 + ,12 
 
 1 305 
 
 01173 
 
 9,3 
 
 + ,22 
 
 1 555 
 
 i 1630 
 
 + 87,3 
 
 + ,14 
 
 1-805 
 
 39303 
 
 + 119,4 
 
 -,02 
 
 060 
 
 15222 
 
 97,8 
 
 ,12 
 
 310 
 
 01 132 
 
 7,2 
 
 ,20 
 
 56O 
 
 12070 
 
 88,8 
 
 ,'4 
 
 81 
 
 39900 
 
 119,1 
 
 ,04 
 
 065 
 
 14736 
 
 9 6 ,7 
 
 ,12 
 
 315 
 
 QI IOI 
 
 5,i 
 
 ,22 
 
 565 
 
 12518 
 
 90,2 
 
 ,H 
 
 815 
 
 40494 
 
 118,7 
 
 ,4 
 
 070 
 
 14255 
 
 95,4 
 
 4 
 
 320 
 
 OloSl 
 
 2,9 
 
 ,22 
 
 57O 
 
 12972 
 
 91,6 
 
 ,'4 
 
 82O 
 
 41087 
 
 118,3 
 
 ,04 
 
 075 
 
 13782 
 
 94,o 
 
 ,'4 
 
 325 
 
 01072 
 
 - 0,8 
 
 ,20 
 
 575 
 
 13434 
 
 93,o 
 
 4 
 
 825 
 
 41677 
 
 "7,9 
 
 ,04 
 
 1-080 
 
 33i5 
 
 - 9^,6 
 
 + ,H 
 
 1 33O 
 
 01073 
 
 + i,3 
 
 + ,22 
 
 1 580 
 
 13902 
 
 + 94,3 
 
 + ,'4 
 
 1 830 
 
 42266 
 
 + "7,5 
 
 -,04 
 
 085 
 
 12856 
 
 91,2 
 
 ,'2 
 
 335 
 
 01085 
 
 3,5 
 
 ,22 
 
 585 
 
 14377 
 
 95,6 
 
 ,12 
 
 835 
 
 42852 
 
 117,1 
 
 ,4 
 
 O90 
 
 12403 
 
 89,8 
 
 ,16 
 
 34O 
 
 OIIOS 
 
 5,6 
 
 ,20 
 
 590 
 
 14858 
 
 97,o 
 
 ,14 
 
 840 
 
 '43437 
 
 1 1 6,6 
 
 ,6 
 
 O95 
 
 11958 
 
 88,4 
 
 ,14 
 
 345 
 
 01 141 
 
 7,7 
 
 ,22 
 
 595 
 
 15347 
 
 98,3 
 
 ,12 
 
 845 
 
 44018 
 
 1 1 6,0 
 
 ,06 
 
 100 
 
 11519 
 
 87,1 
 
 ,14 
 
 35O 
 
 01185 
 
 9,9 
 
 ,22 
 
 600 
 
 15841 
 
 99-4 
 
 ,12 
 
 85O 
 
 '44597 
 
 "5,4 
 
 ,06 
 
 1-1 05 
 
 i 1087 
 
 - 85,6 
 
 + ,16 
 
 1-355 
 
 01240 
 
 + 12,2 
 
 + ,20 
 
 1-605 
 
 16341 
 
 + 1 00,6 
 
 + ,12 
 
 1-855 
 
 4517* 
 
 + 114,8 
 
 -,06 
 
 110 
 
 10663 
 
 84,0 
 
 ,H 
 
 360 
 
 01307 
 
 14,3 
 
 ,22 
 
 610 
 
 16847 
 
 101,8 
 
 ,12 
 
 86O 
 
 '45745 
 
 114,2 
 
 ,08 
 
 115 
 
 10247 
 
 82,5 
 
 ,16 
 
 365 
 
 01383 
 
 16,3 
 
 ,22 
 
 615 
 
 J7359 
 
 102,9 
 
 ,10 
 
 865 
 
 46314 
 
 "3,6 
 
 ,06 
 
 12O 
 
 09838 
 
 80,9 
 
 ,16 
 
 370 
 
 01470 
 
 1 8,4 
 
 ,20 
 
 62O 
 
 17876 
 
 I0 3>9 
 
 ,10 
 
 87O 
 
 46881 
 
 112,9 
 
 ,08 
 
 125 
 
 09438 
 
 79.3 
 
 ,16 
 
 375 
 
 01567 
 
 20,6 
 
 ,22 
 
 625 
 
 18398 
 
 105,0 
 
 ,12 
 
 875 
 
 '47443 
 
 1 1 2,0 
 
 ,08 
 
 1 130 
 
 09045 
 
 - 77,7 
 
 + ,16 
 
 1 380 
 
 01676 
 
 + 22,7 
 
 + ,20 
 
 1 630 
 
 18926 
 
 + 106,1 
 
 + ,10 
 
 1 880 
 
 48001 
 
 + m,i 
 
 -,08 
 
 135 
 
 08661 
 
 76,0 
 
 ,18 
 
 385 
 
 01794 
 
 2 4) 8 
 
 ,22 
 
 635 
 
 19459 
 
 107,1 
 
 ,10 
 
 885 
 
 48554 
 
 "0,3 
 
 ,08 
 
 14O 
 
 08285 
 
 74,2 
 
 ,18 
 
 39O 
 
 01924 
 
 26,9 
 
 ,20 
 
 64O 
 
 19997 
 
 108,0 
 
 ,08 
 
 89O 
 
 49104 
 
 i9,5 
 
 ,10 
 
 145 
 
 07919 
 
 72,5 
 
 ,16 
 
 395 
 
 02063 
 
 28,9 
 
 ,22 
 
 645 
 
 20539 
 
 108,9 
 
 ,10 
 
 895 
 
 49649 
 
 108,6 
 
 ,08 
 
 150 
 
 07560 
 
 70,9 
 
 ,16 
 
 4OO 
 
 02213 
 
 31,0 
 
 ,20 
 
 650 
 
 21086 
 
 109,8 
 
 ,08 
 
 900 
 
 -50190 
 
 107,7 
 
 ,10 
 
 1-155 
 
 07210 
 
 - 69,2 
 
 + ,18 
 
 1-405 
 
 02373 
 
 + 33,i 
 
 + ,20 
 
 1-655 
 
 21637 
 
 + 110,6 
 
 + ,10 
 
 1 905 
 
 50726 
 
 + 106,7 
 
 -,IO 
 
 160 
 
 06868 
 
 67,5 
 
 ,18 
 
 41 
 
 02544 
 
 35,2 
 
 ,*0 
 
 66O 
 
 22192 
 
 111,5 
 
 ,08 
 
 91 
 
 51257 
 
 105,7 
 
 ,10 
 
 165 
 
 06535 
 
 65,7 
 
 ,18 
 
 415 
 
 02725 
 
 37,3 
 
 ,22 
 
 665 
 
 22752 
 
 112,2 
 
 ,06 
 
 915 
 
 51783 
 
 104,7 
 
 , 10 
 
 170 
 
 0621 1 
 
 63,8 
 
 ,18 
 
 42O 
 
 02917 
 
 39,3 
 
 ,20 
 
 67O 
 
 23314 
 
 112,9 
 
 ,08 
 
 920 
 
 52304 
 
 103,6 
 
 ,12 
 
 175 
 
 05897 
 
 62,0 
 
 ,18 
 
 425 
 
 03118 
 
 4',3 
 
 ,20 
 
 675 
 
 23881 
 
 "3,6 
 
 ,08 
 
 925 
 
 52819 
 
 102,4 
 
 ,'2 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 1 180 
 
 05591 
 
 6O,2 
 
 + ,20 
 
 1 430 
 
 03330 
 
 + 43,3 
 
 + ,20 
 
 1-680 
 
 24452 
 
 + 114,3 
 
 + ,06 
 
 1 930 
 
 53328 
 
 + 101,3 
 
 -,IO 
 
 185 
 
 05295 
 
 58,1 
 
 ,18 
 
 435 
 
 03551 
 
 45,3 
 
 ,20 
 
 685 
 
 25026 
 
 115,0 
 
 ,06 
 
 935 
 
 53832 
 
 100,2 
 
 ,12 
 
 19O 
 
 05010 
 
 56,3 
 
 ,18 
 
 440 
 
 03783 
 
 47,i 
 
 ,18 
 
 69O 
 
 25602 
 
 115,6 
 
 ,06 
 
 940 
 
 54330 
 
 99, 
 
 ,12 
 
 195 
 
 04732 
 
 54,6 
 
 ,20 
 
 445 
 
 04022 
 
 48,9 
 
 ,20 
 
 695 
 
 26182 
 
 116,1 
 
 ,06 
 
 945 
 
 54822 
 
 97,8 
 
 ,'4 
 
 2OO 
 
 04464 
 
 52,6 
 
 ,20 
 
 45O 
 
 04272 
 
 5i,o 
 
 ,20 
 
 700 
 
 26763 
 
 ii 6,6 
 
 ,4 
 
 950 
 
 55308 
 
 96,4 
 
 ,12 
 
 1-205 
 
 04206 
 
 - 5,6 
 
 + .18 
 
 1-455 
 
 04532 
 
 + 53,i 
 
 + ,20 
 
 1 705 
 
 27348 
 
 + 117,2 
 
 + ,06 
 
 1-955 
 
 55786 
 
 + 95,i 
 
 -,H 
 
 21 
 
 3958 
 
 48,7 
 
 ,20 
 
 460 
 
 04803 
 
 55,o 
 
 ,18 
 
 71O 
 
 27935 
 
 Ji7,7 
 
 ,4 
 
 96O 
 
 56259 
 
 93,9 
 
 ,12 
 
 215 
 
 03719 
 
 46,7 
 
 ,20 
 
 465 
 
 05082 
 
 . 56,8 
 
 ,18 
 
 715 
 
 28525 
 
 118,1 
 
 4 
 
 965 
 
 56725 
 
 92,6 
 
 ,H 
 
 22O 
 
 0349 1 
 
 44,7 
 
 ,20 
 
 470 
 
 05371 
 
 58,8 
 
 ,20 
 
 72O 
 
 291 16 
 
 118,5 
 
 ,4 
 
 97O 
 
 57185 
 
 91,2 
 
 ,H 
 
 225 
 
 03272 
 
 42,7 
 
 ,20 
 
 475 
 
 05670 
 
 60,7 
 
 ,18 
 
 725 
 
 29710 
 
 1 1 8,9 
 
 ,04 
 
 975 
 
 57637 
 
 89,8 
 
 ,H 
 
 1 230 
 
 03064 
 
 - 40,7 
 
 + ,20 
 
 1-480 
 
 05978 
 
 + 62,5 
 
 + ,18 
 
 1 730 
 
 30305 
 
 + 119,1 
 
 + ,02 
 
 1 980 
 
 58083 
 
 + 88,3 
 
 -,16 
 
 235 
 
 02865 
 
 38,7 
 
 ,20 
 
 485 
 
 06295 
 
 64,2 
 
 ,18 
 
 735 
 
 30902 
 
 "9,4 
 
 ,02 
 
 985 
 
 58520 
 
 86,8 
 
 ,'4 
 
 24O 
 
 02677 
 
 36,7 
 
 ,20 
 
 49O 
 
 06620 
 
 66,0 
 
 ,18 
 
 74O 
 
 3H99 
 
 H9,7 
 
 ,04 
 
 990 
 
 58951 
 
 85,3 
 
 ,16 
 
 245 
 
 02498 
 
 34,7 
 
 ,20 
 
 495 
 
 06955 
 
 67,8 
 
 ,18 
 
 745 
 
 32099 
 
 120,0 
 
 + ,02 
 
 995 
 
 '59373 
 
 83,7 
 
 ,'4 
 
 1 250 
 
 02330 
 
 - 32,6 
 
 + ,22 
 
 1-5OO 
 
 07298 
 
 + 69,6 
 
 + ,18 
 
 1 750 
 
 32699 
 
 + 120,0 
 
 ,00 
 
 2000 
 
 59788 
 
 + 82,2 
 
 -,16 
 
 Added Constant: o '35000. 
 
 For Eclipses, and as the argument of Table XXXVII, the Equation of this Table must be supplemented by those 
 
 of Tables XXX1-XXXIV. For the other phenomena it must be also modified by Tables XXXV, XXXVI. 
 
 49 
 
SATELLITE I 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 Equations of Latitude 
 
 XXXI 
 
 XXXII 
 
 XXXIII 
 
 I 
 
 z 
 
 3 
 
 I 
 
 
 
 3 
 
 L 
 
 Equation 
 
 A 
 dd'OI 
 
 L 
 
 Equation 
 
 A 
 O d 'OI 
 
 d 
 
 
 
 d 
 
 
 
 000 
 
 0-00300 
 
 + II 
 
 1 00 
 
 0-00180 
 
 - IO 
 
 02 
 
 311 
 
 II 
 
 02 
 
 161 
 
 9 
 
 O4 
 
 34* 
 
 IO 
 
 04 
 
 H3 
 
 9 
 
 06 
 
 363 
 
 II 
 
 06 
 
 126 
 
 9 
 
 O8 
 
 384 
 
 IO 
 
 08 
 
 109 
 
 8 
 
 1O 
 
 404 
 
 10 
 
 10 
 
 93 
 
 8 
 
 O 12 
 
 0-00423 
 
 + 9 
 
 1-12 
 
 0-00078 
 
 - 7 
 
 14 
 
 442 
 
 9 
 
 14 
 
 65 
 
 7 
 
 16 
 
 460 
 
 9 
 
 16 
 
 5* 
 
 6 
 
 18 
 
 478 
 
 9 
 
 18 
 
 4 1 
 
 5 
 
 20 
 
 494 
 
 8 
 
 2O 
 
 3* 
 
 5 
 
 022 
 
 0-00510 
 
 + 8 
 
 1-22 
 
 0-00023 
 
 4 
 
 24 
 
 5*4 
 
 7 
 
 24 
 
 16 
 
 3 
 
 26 
 
 538 
 
 7 
 
 26 
 
 10 
 
 3 
 
 28 
 
 55 
 
 6 
 
 28 
 
 6 
 
 2 
 
 30 
 
 561 
 
 5 
 
 30 
 
 3 
 
 - I 
 
 032 
 
 0-00570 
 
 + 4 
 
 1 32 
 
 0-00002 
 
 O 
 
 34 
 
 578 
 
 4 
 
 34 
 
 2 
 
 + I 
 
 36 
 
 585 
 
 3 
 
 36 
 
 4 
 
 1 
 
 38 
 
 59' 
 
 3 
 
 38 
 
 7 
 
 2 
 
 40 
 
 595 
 
 2 
 
 4O 
 
 12 
 
 3 
 
 O-42 
 
 0-00597 
 
 + I 
 
 1-42 
 
 O'OOOig 
 
 + 4 
 
 44 
 
 59 8 
 
 O 
 
 44 
 
 26 
 
 4 
 
 46 
 
 597 
 
 - I 
 
 46 
 
 35 
 
 5 
 
 48 
 
 595 
 
 I 
 
 48 
 
 46 
 
 6 
 
 50 
 
 592 
 
 2 
 
 50 
 
 57 
 
 6 
 
 052 
 
 0-00587 
 
 - 3 
 
 1 52 
 
 0-00070 
 
 + 7 
 
 54 
 
 580 
 
 4 
 
 54 
 
 84 
 
 7 
 
 56 
 
 572 
 
 4 
 
 56 
 
 99 
 
 8 
 
 58 
 
 563 
 
 5 
 
 58 
 
 11 S 
 
 8 
 
 6O 
 
 55* 
 
 6 
 
 6O 
 
 132 
 
 9 
 
 0-62 
 
 0-00540 
 
 - 6 
 
 1-62 
 
 0-00150 
 
 + 9 
 
 64 
 
 5*7 
 
 7 
 
 64 
 
 169 
 
 IO 
 
 66 
 
 5'3 
 
 8 
 
 66 
 
 it! 
 
 10 
 
 68 
 
 498 
 
 8 
 
 68 
 
 208 
 
 10 
 
 70 
 
 481 
 
 9 
 
 70 
 
 229 
 
 IO 
 
 072 
 
 0-00464 
 
 - 9 
 
 1-72 
 
 0-00249 
 
 + 10 
 
 74 
 
 446 
 
 9 
 
 74 
 
 270 
 
 II 
 
 76 
 
 4*7 
 
 10 
 
 76 
 
 2 9 Z 
 
 II 
 
 78 
 
 408 
 
 IO 
 
 78 
 
 3'3 
 
 IO 
 
 80 
 
 388 
 
 10 
 
 8O 
 
 334 
 
 II 
 
 082 
 
 o - oo367 
 
 - II 
 
 1-82 
 
 0-00355 
 
 + 10 
 
 84 
 
 346 
 
 IO 
 
 84 
 
 375 
 
 IO 
 
 86 
 
 325 
 
 II 
 
 86 
 
 396 
 
 IO 
 
 88 
 
 304 
 
 IO 
 
 88 
 
 416 
 
 IO 
 
 90 
 
 283 
 
 II 
 
 90 
 
 435 
 
 9 
 
 92 
 
 0*00262 
 
 - IO 
 
 1-92 
 
 0-00453 
 
 + 9 
 
 94 
 
 H> 
 
 II 
 
 94 
 
 47' 
 
 9 
 
 96 
 
 120 
 
 10 
 
 96 
 
 488 
 
 8 
 
 98 
 
 2OO 
 
 IO 
 
 98 
 
 504 
 
 8 
 
 1 00 
 
 o'ooiSo 
 
 - IO 
 
 200 
 
 0-00519 
 
 + 7 
 
 i 
 
 2 
 
 M 
 
 Equation 
 
 d 
 
 
 000 
 
 0-00150 
 
 O4 
 
 1 66 
 
 08 
 
 181 
 
 12 
 
 '95 
 
 16 
 
 209 
 
 20 
 
 222 
 
 0-24 
 
 O-00233 
 
 28 
 
 242 
 
 32 
 
 250 
 
 36 
 
 *55 
 
 40 
 
 259 
 
 044 
 
 0-00260 
 
 48 
 
 259 
 
 52 
 
 256 
 
 56 
 
 251 
 
 60 
 
 *43 
 
 64 
 
 0-00234 
 
 68 
 
 223 
 
 72 
 
 211 
 
 76 
 
 '97 
 
 80 
 
 182 
 
 0-84 
 
 0-00167 
 
 88 
 
 152 
 
 92 
 
 I3 6 
 
 96 
 
 121 
 
 1-00 
 
 I 06 
 
 1 04 
 
 O-OOO92 
 
 08 
 
 80 
 
 12 
 
 6 9 
 
 16 
 
 59 
 
 20 
 
 Si 
 
 1-24 
 
 0-00045 
 
 28 
 
 4* 
 
 32 
 
 40 
 
 36 
 
 4i 
 
 4O 
 
 44 
 
 1-44 
 
 0-00049 
 
 48 
 
 56 
 
 52 
 
 65 
 
 56 
 
 76 
 
 6O 
 
 88 
 
 1-64 
 
 O'OOIOI 
 
 68 
 
 116 
 
 72 
 
 131 
 
 76 
 
 '47 
 
 30 
 
 162 
 
 1-84 
 
 0-00177 
 
 88 
 
 192 
 
 92 
 
 206 
 
 96 
 
 219 
 
 200 
 
 0-00230 
 
 i 
 
 2 
 
 N 
 
 Equation 
 
 d 
 
 
 000 
 
 0-00025 
 
 04 
 
 28 
 
 08 
 
 3i 
 
 12 
 
 34 
 
 16 
 
 37 
 
 20 
 
 40 
 
 024 
 
 0-00042 
 
 28 
 
 44 
 
 32 
 
 46 
 
 36 
 
 47 
 
 4O 
 
 48 
 
 0-44 
 
 0-00048 
 
 48 
 
 48 
 
 52 
 
 47 
 
 56 
 
 46 
 
 6O 
 
 44 
 
 064 
 
 0-00042 
 
 68 
 
 4 
 
 72 
 
 38 
 
 76 
 
 35 
 
 80 
 
 32 
 
 084 
 
 0-00029 
 
 88 
 
 2 5 
 
 92 
 
 22 
 
 96 
 
 '9 
 
 1 OO 
 
 16 
 
 1 O4 
 
 0-00013 
 
 08 
 
 IO 
 
 12 
 
 8 
 
 16 
 
 6 
 
 20 
 
 4 
 
 1 24 
 
 0^00003 
 
 28 
 
 2 
 
 32 
 
 2 
 
 36 
 
 2 
 
 40 
 
 3 
 
 1-44 
 
 0*00004 
 
 48 
 
 5 
 
 52 
 
 7 
 
 56 
 
 9 
 
 60 
 
 12 
 
 1 64 
 
 o '00015 
 
 68 
 
 18 
 
 72 
 
 21 
 
 76 
 
 *4 
 
 80 
 
 28 
 
 i 
 
 
 1 84 
 
 0-00031 
 
 88 
 
 34 
 
 92 
 
 37 
 
 96 
 
 39 
 
 200 
 
 0-00042 
 
 
 i 
 
 XXXIV 
 
 
 
 2 
 
 O 
 
 Equation 
 
 d 
 
 
 00 
 
 0-04525 
 
 1 
 
 4527 
 
 2 
 
 45*9 
 
 3 
 
 453 
 
 4 
 
 453i 
 
 5 
 
 453' 
 
 0-6 
 
 0-04530 
 
 7 
 
 4529 
 
 8 
 
 45*7 
 
 9 
 
 45*5 
 
 10 
 
 4523 
 
 11 
 
 0-04521 
 
 2 
 
 45*0 
 
 3 
 
 45'9 
 
 4 
 
 45'9 
 
 5 
 
 4520 
 
 1-6 
 
 0-04522 
 
 7 
 
 45*4 
 
 8 
 
 4526 
 
 9 
 
 4528 
 
 20 
 
 45*9 
 
 Added Constant: 
 
 Added Constant: o-oo3<x>. 
 
 Added Constant: o'-ooiso. 
 5 
 
 Added Constant : o'-oooas- 
 
SATELLITE I 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XXXV Occultations and Transits 
 
 To correct for the Jovicentric Latitude of the Earth, the Satellite's Latitude as 
 derived from Tables XXX-XXXVI, must be supplemented by the term 
 
 B, Bin (-Q)/A 
 (9-155722) 
 
 where Rj, A are the Geocentric Distances of the Sun and Jupiter respectively, and Si is 
 the Ascending Node of Jupiter's Orbit on the Ecliptic. 
 
 The natural sign to apply for Occultations. 
 
 The reversed sign to apply for Transits. 
 
 The value of a is given in Table C. 
 
 XXXVI 
 
 Correction of Latitude for 
 Shadows and Transits 
 
 XXXVII 
 Angle above Jupiter's Orbit 
 
 i 
 Lat. 
 
 2 
 
 Core". Sh., Tr. 
 
 o-oo 
 
 - 0-00044 
 
 O4 
 
 39 
 
 OS 
 
 35 
 
 12 
 16 
 
 3' 
 26 
 
 2O 
 
 22 
 
 024 
 
 - -00017 
 
 28 
 
 '3 
 
 32 
 
 9 
 
 36 
 
 4 
 
 40 
 
 o 
 
 044 
 
 + -00004 
 
 48 
 
 9 
 
 52 
 
 13 
 
 56 
 
 '7 
 
 6O 
 
 22 
 
 064 
 
 + 'OOO26 
 
 68 
 
 3' 
 
 72 
 
 35 
 
 76 
 
 39 
 
 080 
 
 + -00044 
 
 I 
 
 2 
 
 3 
 
 4 
 
 Lat. 
 
 Angle 
 
 Lat. 
 
 A 
 
 O'OI 
 
 000 
 
 - 36$5* + 
 
 080 
 
 911 
 
 02 
 
 3-47*9 
 
 78 
 
 912 
 
 04 
 
 3-2905 
 
 76 
 
 912 
 
 06 
 
 flOtl 
 
 74 
 
 912 
 
 08 
 
 2-9256 
 
 72 
 
 9'3 
 
 1O 
 
 17430 
 
 7O 
 
 9'3 
 
 012 
 
 - 2-5604 + 
 
 068 
 
 9'3 
 
 14 
 
 *'3777 
 
 66 
 
 9H 
 
 16 
 
 2-1950 
 
 64 
 
 914 
 
 18 
 
 2*0123 
 
 62 
 
 914 
 
 20 
 
 1-8295 
 
 60 
 
 914 
 
 022 
 
 - 1-6466 + 
 
 058 
 
 9'5 
 
 24 
 
 1-4637 
 
 56 
 
 9'5 
 
 26 
 
 1-2808 
 
 54 
 
 9'5 
 
 28 
 
 1-0979 
 
 52 
 
 9'5 
 
 30 
 
 0-9150 
 
 50 
 
 9'5 
 
 O 32 
 
 - 07320 + 
 
 O-48 
 
 9'S 
 
 34 
 
 0-5490 
 
 46 
 
 9'5 
 
 36 
 
 o - 366o 
 
 44 
 
 9'5 
 
 38 
 
 - 0-1830 + 
 
 42 
 
 9'5 
 
 040 
 
 O'OOOO 
 
 040 
 
 9>S 
 
 Thi Correction to he applied to Latitude aa derived 
 from Tables XXX-XXXIV, before using a Argu- 
 ment of Semiduration in Shadows and Transits 
 
 This Table shows the Angle of the Satellite above Jupiter's Orbit, 
 which correspond! to the Sum of the Equations taken from Tables 
 XXX-XXXIV. 
 
SATELLITE I 
 
 Tables 
 
 of the 
 
 Synodic Motion, 
 
 Duration of the Phenomena of Eclipse, 
 Occultation, Transit and Shadow-Transit, 
 
 with 
 
 Equations for Reduction to the Middle, 
 Corrections for Phase 
 
 and the 
 
 Light-Curve of Eclipse 
 
XXXVIII 
 
 SATELLITE I 
 
 Table of Synodic Motion 
 
 I 
 
 1 
 
 i 
 
 z 
 
 I 
 
 2 
 
 i 
 
 2 
 
 Angle 
 
 Value 
 
 Angle 
 
 Value 
 
 Angle 
 
 Value 
 
 Angle 
 
 Value 
 
 o 
 
 000 
 
 d 
 
 oooooc 
 
 025 
 
 d 
 'OOOI2J 
 
 o 
 
 050 
 
 d 
 000246 
 
 075 
 
 d 
 000369 
 
 1 
 
 5 
 
 26 
 
 128 
 
 51 
 
 *5i 
 
 76 
 
 374 
 
 2 
 
 IO 
 
 27 
 
 '33 
 
 52 
 
 256 
 
 77 
 
 379 
 
 3 
 
 15 
 
 28 
 
 138 
 
 53 
 
 261 
 
 78 
 
 383 
 
 
 
 zo 
 
 29 
 
 '43 
 
 54 
 
 265 
 
 79 
 
 388 
 
 5 
 
 *5 
 
 3O 
 
 '47 
 
 55 
 
 270 
 
 8O 
 
 393 
 
 006 
 
 000029 
 
 O31 
 
 00015* 
 
 056 
 
 000275 
 
 081 
 
 000398 
 
 7 
 
 34 
 
 32 
 
 157 
 
 57 
 
 280 
 
 82 
 
 403 
 
 8 
 
 39 
 
 33 
 
 162 
 
 58 
 
 285 
 
 83 
 
 408 
 
 9 
 
 44 
 
 34 
 
 167 
 
 59 
 
 290 
 
 84 
 
 4i3 
 
 10 
 
 49 
 
 35 
 
 172 
 
 6O 
 
 295 
 
 85 
 
 418 
 
 Oil 
 
 000054 
 
 036 
 
 000177 
 
 061 
 
 000300 
 
 086 
 
 000423 
 
 12 
 
 59 
 
 37 
 
 182 
 
 62 
 
 35 
 
 87 
 
 428 
 
 13 
 
 64 
 
 38 
 
 187 
 
 63 
 
 310 
 
 88 
 
 433 
 
 14 
 
 69 
 
 39 
 
 192 
 
 64 
 
 3i5 
 
 89 
 
 438 
 
 15 
 
 74 
 
 40 
 
 197 
 
 65 
 
 320 
 
 90 
 
 442 
 
 016 
 
 000079 
 
 O41 
 
 'OOO2O2 
 
 066 
 
 000324 
 
 091 
 
 000447 
 
 17 
 
 84 
 
 42 
 
 *o6 
 
 67 
 
 329 
 
 92 
 
 452 
 
 18 
 
 88 
 
 43 
 
 211 
 
 68 
 
 334 
 
 93 
 
 457 
 
 19 
 
 93 
 
 44 
 
 216 
 
 69 
 
 339 
 
 94 
 
 462 
 
 2O 
 
 98 
 
 45 
 
 221 
 
 70 
 
 344 
 
 95 
 
 467 
 
 O21 
 
 000103 
 
 046 
 
 OO0226 
 
 071 
 
 000349 
 
 096 
 
 000472 
 
 22 
 
 108 
 
 47 
 
 231 
 
 72 
 
 354 
 
 97 
 
 477 
 
 23 
 
 i'3 
 
 48 
 
 2 3 6 
 
 73 
 
 359 
 
 98 
 
 482 
 
 24 
 
 III 
 
 49 
 
 2 4 I 
 
 74 
 
 364 
 
 99 
 
 487 
 
 O25 
 
 000123 
 
 O50 
 
 000246 
 
 075 
 
 000369 
 
 100 
 
 000492 
 
 XXXIX 
 
 I 
 
 i 
 
 Angle 
 
 Value 
 
 00 
 
 d 
 
 oooooo 
 
 1 
 
 492 
 
 2 
 
 983 
 
 3 
 
 1475 
 
 4 
 
 1967 
 
 5 
 
 2458 
 
 06 
 
 002950 
 
 7 
 
 344" 
 
 8 
 
 3933 
 
 9 
 
 44 Z 5 
 
 IO 
 
 004916 
 
 These tallies show the time taken to describe a given angle, with the Mean 
 Synodic Motion. They are to be used for converting into time the Complement 
 or excess of Jupiter's longitude over that of the Satellite at ail assumed approxi- 
 mate time of conjunction. 
 
 To allow for the true Synodic Motion modify the entry of the table by applying 
 to it its product by the Variation as taken from Tables XXV XXIX. 
 
 54 
 
XL 
 
 SATELLITE I 
 
 Tables of the Phenomena 
 
 Semiduration 
 
 i 
 
 2 
 
 3 
 
 4 
 
 i 
 
 Lat. 
 
 Eel., Oc. 
 
 A 
 ooi 
 
 Corr". 
 3h.,Tr. 
 
 Lat. 
 
 
 d 
 
 
 
 
 ooo 
 
 0-043653 
 
 + 20,8 
 
 -49 
 
 800 
 
 004 
 
 43736 
 
 20,8 
 
 49 
 
 796 
 
 008 
 
 43819 
 
 20,5 
 
 49 
 
 792 
 
 O1 2 
 
 43900 
 
 20,1 
 
 49 
 
 788 
 
 016 
 
 43980 
 
 20,0 
 
 49 
 
 784 
 
 020 
 
 44060 
 
 19,8 
 
 49 
 
 780 
 
 O24 
 
 0-044138 
 
 + 19,4 
 
 -49 
 
 776 
 
 028 
 
 44215 
 
 '9,' 
 
 49 
 
 772 
 
 032 
 
 44291 
 
 18,9 
 
 5o 
 
 768 
 
 036 
 
 44366 
 
 18,8 
 
 50 
 
 764 
 
 O40 
 
 4444' 
 
 1 8,6 
 
 50 
 
 76O 
 
 O44 
 
 0-044515 
 
 + 18,4 
 
 -50 
 
 756 
 
 O48 
 
 44588 
 
 18,2 
 
 50 
 
 752 
 
 O52 
 
 44659 
 
 18,0 
 
 50 
 
 748 
 
 056 
 
 44730 
 
 17,8 
 
 50 
 
 744 
 
 060 
 
 44800 
 
 17,5 
 
 50 
 
 74O 
 
 064 
 
 0-044869 
 
 + 17,0 
 
 -50 
 
 736 
 
 068 
 
 44937 
 
 16,8 
 
 50 
 
 732 
 
 072 
 
 45003 
 
 1 6,8 
 
 50 
 
 728 
 
 076 
 
 45070 
 
 16,5 
 
 5 
 
 724 
 
 080 
 
 45135 
 
 16,3 
 
 50 
 
 720 
 
 084 
 
 0-045199 
 
 + 1 6,0 
 
 -50 
 
 716 
 
 088 
 
 45263 
 
 15,8 
 
 5' 
 
 712 
 
 O92 
 
 45326 
 
 '5,5 
 
 5' 
 
 708 
 
 096 
 
 45387 
 
 '5,3 
 
 5' 
 
 704 
 
 100 
 
 4544 s 
 
 '5, 
 
 5' 
 
 7OO 
 
 1O4 
 
 0-045508 
 
 + H,8 
 
 -5 1 
 
 696 
 
 1O8 
 
 45567 
 
 H,8 
 
 5' 
 
 692 
 
 112 
 
 45625 
 
 '4,5 
 
 51 
 
 688 
 
 116 
 
 45682 
 
 H,3 
 
 5> 
 
 684 
 
 120 
 
 45739 
 
 14,0 
 
 5' 
 
 680 
 
 124 
 
 0-045794 
 
 + 13,8 
 
 -5i 
 
 676 
 
 128 
 
 45849 
 
 13,6 
 
 51 
 
 672 
 
 132 
 
 45903 
 
 i3,3 
 
 51 
 
 668 
 
 136 
 
 45955 
 
 >3,o 
 
 5' 
 
 664 
 
 140 
 
 46008 
 
 12,8 
 
 5i 
 
 66O 
 
 144 
 
 0-046058 
 
 + 12,8 
 
 -5 2 
 
 656 
 
 148 
 
 46109 
 
 i*,5 
 
 S 2 
 
 652 
 
 152 
 
 46159 
 
 12,3 
 
 52 
 
 648 
 
 156 
 
 46207 
 
 12,0 
 
 S 2 
 
 644 
 
 16O 
 
 46256 
 
 11,8 
 
 S 2 
 
 640 
 
 164 
 
 0-046302 
 
 + 11,5 
 
 -52 
 
 636 
 
 168 
 
 46349 
 
 n,5 
 
 52 
 
 632 
 
 172 
 
 4 6 394 
 
 n,3 
 
 S 2 
 
 628 
 
 176 
 
 46438 
 
 11,0 
 
 5 2 
 
 624 
 
 18O 
 
 46482 
 
 10,8 
 
 52 
 
 62O 
 
 184 
 
 0-046525 
 
 + 10,5 
 
 -52 
 
 616 
 
 188 
 
 46567 
 
 '0,3 
 
 5 2 
 
 612 
 
 192 
 
 46608 
 
 10,3 
 
 5 
 
 608 
 
 196 
 
 46648 
 
 1 0,0 
 
 S 2 
 
 6O4 
 
 2OO 
 
 0-046688 
 
 + 9,8 
 
 -52 
 
 60O 
 
 I 
 
 2 
 
 3 
 
 4 
 
 i 
 
 Lat. 
 
 Eel., Oc. 
 
 A 
 
 ooi 
 
 Corr n . 
 3h., Tr. 
 
 Lat. 
 
 
 j 
 
 
 
 
 200 
 
 0-046688 
 
 + 9,8 
 
 -52 
 
 6OO 
 
 204. 
 
 46726 
 
 9,8 
 
 5 
 
 596 
 
 208 
 
 46764 
 
 9,5 
 
 5 2 
 
 592 
 
 212 
 
 468oz 9,3 
 
 5 2 
 
 588 
 
 216 
 
 46838 9,0 
 
 52 
 
 584 
 
 22O 
 
 46874 
 
 8,8 
 
 52 
 
 58O 
 
 224 
 
 0-046908 
 
 + 8,5 
 
 -52 
 
 576 
 
 228 
 
 46942 
 
 8,5 
 
 S 2 
 
 572 
 
 232 
 
 4 6 975 
 
 8,3 
 
 53 
 
 568 
 
 236 
 
 47007 
 
 8,0 
 
 53 
 
 564 
 
 240 
 
 47039 
 
 7,8 
 
 S3 
 
 560 
 
 244 
 
 0-047070 
 
 + 7,8 
 
 -S3 
 
 556 
 
 248 
 
 47100 
 
 7,5 
 
 53 
 
 552 
 
 252 
 
 47129 
 
 7,3 
 
 53 
 
 548 
 
 256 
 
 47'57 ! 7,o 
 
 53 
 
 544 
 
 26O 
 
 47185 6,8 
 
 53 
 
 540 
 
 264 
 
 0-047211 + 6,5 
 
 -53 
 
 536 
 
 268 
 
 47*37 6,5 
 
 53 
 
 532 
 
 272 
 
 47262 6,3 
 
 53 
 
 528 
 
 276 
 
 47287 6,0 
 
 53 
 
 524 
 
 280 
 
 47310 5,8 
 
 53 
 
 52O 
 
 284 
 
 0-047333 + 5,5 
 
 -53 
 
 516 
 
 288 
 
 47355 1 5,5 
 
 53 
 
 512 
 
 292 
 
 47376 5,3 
 
 53 
 
 508 
 
 296 
 
 47396 5, 
 
 53 
 
 504 
 
 30O 
 
 474>7 
 
 5,o 
 
 53 
 
 500 
 
 304 
 
 0-047435 + 4,5 
 
 -53 
 
 496 
 
 3O8 
 
 47453 
 
 4,5 
 
 53 
 
 492 
 
 312 
 
 4747' 
 
 4,3 
 
 53 
 
 488 
 
 316 
 
 47488 
 
 4,0 
 
 53 
 
 484 
 
 32O 
 
 4753 
 
 4, 
 
 53 
 
 480 
 
 324 
 
 0-047518 
 
 + 3,8 
 
 -53 
 
 476 
 
 328 
 
 47533 
 
 3,5 
 
 53 
 
 472 
 
 332 
 
 4754 6 
 
 3,5 
 
 53 
 
 468 
 
 336 
 
 47558 
 
 3,3 
 
 53 
 
 464 
 
 34O 
 
 47570 
 
 3,o 
 
 53 
 
 46O 
 
 344 
 
 0-047582 
 
 + 2,8 
 
 -53 
 
 456 
 
 348 
 
 4759 2 
 
 2,5 
 
 53 
 
 452 
 
 352 
 
 47602 
 
 2,3 
 
 53 
 
 448 
 
 356 
 
 47610 
 
 2,3 
 
 53 
 
 444 
 
 36O 
 
 47618 
 
 2,0 
 
 53 
 
 44O 
 
 364 
 
 0-047626 
 
 + 1,8 
 
 -53 
 
 436 
 
 368 
 
 47632 
 
 >,5 
 
 53 
 
 432 
 
 372 
 
 47638 
 
 i,3 
 
 53 
 
 428 
 
 376 
 
 47643 
 
 i,3 
 
 53 
 
 424 
 
 38O 
 
 47647 
 
 ,o 
 
 53 
 
 42O 
 
 384 
 
 0-047651 
 
 + 0,8 
 
 -53 
 
 416 
 
 388 
 
 47653 
 
 o,5 
 
 53 
 
 412 
 
 392 
 
 47655 
 
 ,5 
 
 53 
 
 4O8 
 
 396 
 
 47656 
 
 + 0,3 
 
 53 
 
 4O4 
 
 4OO 
 
 0-047657 
 
 0,0 
 
 -53 
 
 4OO 
 
 Equations of 
 
 Semiduration 
 
 XLI 
 
 i 
 
 2 
 
 3 
 
 Eel., Oc. 
 
 K 
 
 Sh., Tr. 
 
 0-000044 
 
 00 
 
 d 
 O'OOOOOi 
 
 45 
 
 1 
 
 8 
 
 46 
 
 2 
 
 *3 
 
 47 
 
 3 
 
 37 
 
 46 
 
 4 
 
 45 
 
 46 
 
 5 
 
 45 
 
 0-000047 
 
 06 
 
 0-000035 
 
 46 
 
 7 
 
 21 
 
 45 
 
 8 
 
 6 
 
 44 
 
 9 
 
 a 
 
 45 
 
 10 
 
 10 
 
 0-000047 
 
 1-1 
 
 0-000025 
 
 47 
 
 2 
 
 39 
 
 46 
 
 3 
 
 46 
 
 46 
 
 4 
 
 44 
 
 47 
 
 5 
 
 33 
 
 0-000046 
 
 1-6 
 
 O'OOOOlS 
 
 45 
 
 7 
 
 5 
 
 44 
 
 8 
 
 3 
 
 45 
 
 9 
 
 ii 
 
 0-000047 
 
 2-0 
 
 0-000028 
 
 Added Constants : o d- oooo44. 
 
 XLII 
 
 I 
 
 z 
 
 a 
 
 Eel., Oc. 
 
 d 
 
 d 
 
 O 
 
 + -000003 
 
 50O 
 
 + 2 
 
 1OOO 
 
 O 
 
 15OO 
 
 2 
 
 2000 
 
 2 
 
 2500 
 
 - -000003 
 
 3OOO 
 
 I 
 
 350O 
 
 + I 
 
 400O 
 
 + 3 
 
 4500 
 
 + -000003 
 
 XLIII 
 
 Subtracted Constant : - o<! '000300. The Argument is the Latitude as derived from Tables XXX-XXXVI. For Shadows 
 and Transits the correction in Col. 4 must be applied to the entries in Col. 2. The entry must be corrected also by the 
 Equations of Tables XLI-XLIV. For Shadows and Transits it must also be corrected for Jupiter's Phase by Table LI. 
 
 55 
 
 r 
 
 2 
 
 3 
 
 4 
 
 EC., Sh. 
 
 -8 
 
 Oc. 
 
 Tr. 
 
 6 
 
 
 
 ii 
 
 i 
 
 9 
 
 50 
 
 12 
 
 6 
 
 10 
 
 100 
 
 IO 
 
 10 
 
 9 
 
 15O 
 
 5 
 
 12 
 
 6 
 
 20O 
 
 i 
 
 II 
 
 3 
 
 25O 
 
 O 
 
 6 
 
 2 
 
 3OO 
 
 2 
 
 2 
 
 4 
 
 350 
 
 7 
 
 I 
 
 6 
 
 4OO 
 
 n 
 
 I 
 
 The unit equals o d- oooooi. 
 Added Constant : o' i- ooooo6. 
 
XLIV 
 
 SATELLITE I 
 
 Tables of the Phenomena 
 
 Equation of the Semiduration 
 
 Eel., Oc., Sh., Tr. 
 
 \Lat. 
 Var.\ 
 
 OO -O2 -04 
 8O 78 -76 
 
 06 08 -1O 
 74 '72 -7O 
 
 12 -14 -16 -18 -2O -22 
 68 -66 -64 -62 6O '58 
 
 24 -26 '28 30 32 -34 
 56 54 -52 j -SO 48 -46 
 
 1 
 
 36 -38 
 4O 
 44 -42 
 
 - -01 oo 
 
 75 68 62 
 
 5 6 5 I 46 
 
 42 37 33 30 27 24 
 
 22 I 9 I 7 
 
 16 14 13 
 
 12 12 12 
 
 96 
 
 82 76 70 
 
 64 59 55 
 
 50 46 43 ! 39 36 33 
 
 31 2 9 27 
 
 25 24 23 
 
 22 22 22 
 
 92 
 
 89 83 77 
 
 72 67 62 
 
 58 54 51 : 47 45 42 
 
 40 38 36 
 
 34 33 32 
 
 3' 3' 3' 
 
 88 
 
 96 90 85 
 
 80 75 71 
 
 67 63 60 57 54 51 
 
 49 47 46 44 43 42 
 
 41 41 4 I 
 
 84 
 
 103 97 92 
 
 87 83 79 
 
 75 71 68' 65 62 60 
 
 58 56 54 52 52 51 
 
 50 50 50 
 
 8O 
 
 110 105 100 
 
 95 9i 87 
 
 84 80 77 74 72 69 
 
 68 66 64 63 62 61 
 
 6O 6O 60 
 
 -OO76 
 
 117 112 107 
 
 103 99 95 
 
 91 88 85 83 80 78 
 
 76 74 73 72 71 70 69 69 69 
 
 72 
 
 124 119 115 
 
 in 107 103 
 
 100 97 94 ! 92 90 88 
 
 86 84 83 82 81 80 
 
 79 79 79 
 
 68 
 
 131 126 122 
 
 1 18 115 in 
 
 108 105 103 100 98 96 
 
 94 93 92 90 90 89 
 
 88 88 88 
 
 64 
 
 138 134 130 
 
 126 123 120 
 
 117 114 112 109 107 1 06 
 
 104 103 101 
 
 ico 100 99 
 
 98 98 98 
 
 6O 
 
 H5 '4i 137 
 
 '34 '3' '7 
 
 125 122 I2O II Il6 114 
 
 113 in 1 10 
 
 109 i 08 108 
 
 107 107 107 
 
 
 
 
 
 
 
 
 - O056 
 
 152 148 145 
 
 142 139 136 
 
 133 131 129 127 125 124 
 
 122 121 I2O 
 
 119 118 118 
 
 117 117 117 
 
 52 
 
 I 59 155 152 
 
 149 146 144 
 
 141 139 137 
 
 '35 '34 132 
 
 131 130 129 
 
 128 127 127 
 
 126 126 126 
 
 48 
 
 1 66 163 1 60 
 
 157 154 152 
 
 150 148 146 
 
 '45 '43 HZ 
 
 '4' '39 '39 138 137 '37 
 
 136 136 136 
 
 44 
 
 173 170 167 
 
 165 162 160 
 
 158 156 154 
 
 153 152 150 
 
 149 148 147 
 
 147 146 146 
 
 145 145 145 
 
 40 
 
 180 177 175 
 
 173 170 169 
 
 167 165 164 
 
 162 161 160 
 
 '59 158 '57 
 
 156 156 155 
 
 '55 '55 '55 
 
 
 
 
 
 
 
 
 - 0036 
 
 187 184 182 
 
 180 178 176 
 
 '75 '73 '7* 
 
 170 169 168 
 
 167 167 166 
 
 165 165 164 
 
 164 164 164 
 
 32 
 
 194 192 190 
 
 188 186 185 
 
 183 182 181 
 
 180 179 178 
 
 177 176 176 
 
 '75 '75 '74 
 
 174 174 174 
 
 28 
 
 201 199 197 196 194 193 
 
 191 190 189 
 
 188 187 186 
 
 186 185 184 
 
 184 184 183 
 
 183 183 183 
 
 24 
 
 208 206 205 
 
 204 202 201 
 
 200 199 198 
 
 197 197 196 
 
 '95 '95 '94 
 
 194 194 193 
 
 '93 '93 '93 
 
 20 
 
 21; 213 212 
 
 211 2IO 209 
 
 208 207 206 
 
 206 205 204 
 
 204 203 203 
 
 203 202 202 
 
 202 202 202 
 
 - OO1 6 
 
 222 221 220 
 
 219 218 217 
 
 217 216 215 
 
 215 214 214 
 
 214 213 213 
 
 213 212 212 
 
 212 212 212 
 
 12 
 
 229 228 227 
 
 227 226 225 
 
 225 224 224 
 
 223 223 222 
 
 222 222 222 
 
 221 221 221 
 
 221 221 221 
 
 8 
 
 236 235 235 
 
 235 234 234 
 
 2 33 233 233 
 
 232 232 232 
 
 232 232 231 
 
 231 231 231 
 
 231 231 231 
 
 - OO04 
 
 243 242 242 
 
 242 242 241 
 
 241 241 241 
 
 24! 241 240 
 
 240 240 240 
 
 240 240 240 
 
 240 240 240 
 
 
 
 2JO 250 25O 
 
 250 250 250 
 
 250 250 250 
 
 250 250 250 
 
 250 250 250 
 
 250 250 250 
 
 250 250 250 
 
 f 0004 
 
 257 258 258 
 
 258 258 259 
 
 259 259 259 
 
 259 259 260 
 
 260 260 260 
 
 260 260 260 
 
 260 260 260 
 
 8 
 
 264 265 265 
 
 266 266 266 
 
 267 267 267 
 
 268 268 268 
 
 268 268 269 
 
 269 269 269 
 
 269 269 269 
 
 12 
 
 271 272 273 
 
 274 2 74 *75 
 
 275 276 276 
 
 277 277 278 
 
 278 278 278 
 
 279 279 279 
 
 279 279 279 
 
 16 
 
 278 279 280 
 
 281 282 283 
 
 283 284 285 
 
 285 286 286 
 
 286 287 287 
 
 287 288 288 
 
 288 288 288 
 
 2O 
 
 285 287 288 
 
 289 290 291 
 
 292 293 294 
 
 294 2 95 296 
 
 296 297 297 
 
 297 298 298 
 
 298 298 298 
 
 + -0024 
 
 292 294 295 
 
 297 298 299 
 
 300 301 302 
 
 303 303 304 
 
 305 305 306 
 
 306 306 307 
 
 307 307 307 
 
 28 
 
 299 301 303 
 
 305 306 307 
 
 309 310 311 
 
 3'2 313 3'4 
 
 314 315 3l6 
 
 3l6 316 317 
 
 3'7 3'7 317 
 
 32 
 
 306 308 3IO 
 
 312 314 315 
 
 3'7 3'8 319 
 
 320 321 322 
 
 323 324 324 
 
 325 325 326 326 326 326 
 
 36 
 
 313 3l6 318 
 
 320 322 324 
 
 325 327 328 
 
 33 33' 332 
 
 333 333 334 
 
 335 335 336 
 
 336 336 336 
 
 40 
 
 3 20 323 325 
 
 3*7 33 33' 
 
 333 335 336 
 
 338 339 340 
 
 341 342 343 
 
 344 344 345 
 
 345 345 345 
 
 + 0044 
 
 327 33 333 
 
 335 338 34 
 
 342 344 346 
 
 347 348 35 
 
 35' 352 353 
 
 353 354 354 
 
 355 355 355 
 
 48 
 
 334 337 34 
 
 343 34 6 348 
 
 35 352 354 
 
 355 357 358 
 
 359 36i 36' 
 
 362 363 363 i 364 364 364 
 
 52 
 
 341 345 348 
 
 35' 354 35 6 
 
 359 36i 363 
 
 365 366 368 
 
 369 370 371 
 
 372 373 373 i 374 374 374 
 
 56 
 
 34 8 35* 355 
 
 358 362 364 
 
 367 369 371 
 
 373 375 376 
 
 378 379 380 
 
 381 382 3821383 383 383 
 
 60 
 
 355 359 363 
 
 366 370 373 
 
 375 378 380 
 
 382 384 386 
 
 387 389 39 
 
 391 392 392 
 
 393 393 393 
 
 + 0064 
 
 362 366 370 
 
 374 377 38o 
 
 383 386 388 
 
 39 1 393 394 
 
 39 6 397 399 
 
 400 400 401 
 
 402 402 402 
 
 68 
 
 369 374 378 
 
 382 385 389 
 
 392 395 397 
 
 400 402 404 
 
 406 407 408 
 
 410 410 411 
 
 412 412 412 
 
 72 
 
 376 381 385 
 
 389 393 397 
 
 400 403 406 
 
 408 410 412 
 
 414 416 417 
 
 418 419 420 
 
 421 421 421 
 
 76 
 
 383 388 393 
 
 397 4 01 45 
 
 409 412 415 
 
 417 420 422 
 
 424 426 427 
 
 428 429 430 
 
 43' 43' 43' 
 
 8O 
 
 39 395 4 4S 49 4' 3 
 
 416 420 423 
 
 426 428 431 
 
 432 434 436 
 
 437 43 8 439 
 
 44 44 44 
 
 
 
 
 
 
 | 
 
 
 + 0084 
 
 397 43 4 8 
 
 413 417 421 
 
 425 429 432 
 
 435 438 44 
 
 442 444 446 448 449 449 
 
 450 450 450 
 
 88 
 
 404 410 415 
 
 420 425 429 
 
 433 437 44 
 
 443 44 6 449 
 
 45' 453 454 
 
 456 457 458 
 
 459 459 459 
 
 92 
 
 411 417 423 
 
 428 433 438 
 
 442 44 6 449 
 
 453 455 458 
 
 460 462 464 
 
 466 467 468 
 
 469 469 469 
 
 96 
 
 418 424 430 
 
 436 441 445 
 
 45o 454 457 
 
 461 464 467 
 
 469 471 473 475 476 477 
 
 478 478 478 
 
 + -01 oo 
 
 425 432 438 
 
 444 449 454 
 
 458 4 6 3 4 6 7 
 
 470 473 476 
 
 478 481 4831484 486 487 
 
 488 488 488 
 
 The unit in this Table equals o^'c 
 
 Added Constant: +o'>'ooo25o. 
 
XLV 
 
 SATELLITE I 
 
 Tables of the Phenomena 
 
 Reductions to Middle 
 
 Argument K 
 
 i 
 
 i 
 
 3 
 
 4 
 
 5 
 
 Eel., Oc. 
 
 A 
 
 K 
 
 Sh., Tr. 
 
 A 
 
 d 
 - '000034 
 
 - 29 
 
 d 
 
 o-oo 
 
 d 
 - -000066 
 
 - 38 
 
 62 
 
 28 
 
 01 
 
 103 38 
 
 9' 
 
 29 
 
 02 
 
 141 38 
 
 119 
 
 28 
 
 03 
 
 178 37 
 
 146 
 
 27 
 
 04 
 
 214 36 
 
 '73 
 
 27 
 
 OS 
 
 249 ' 35 
 
 - -000199 
 
 - 26 
 
 006 
 
 - -000283 ; 
 
 34 
 
 224 
 
 25 
 
 07 
 
 316 
 
 33 
 
 249 
 
 25 
 
 08 
 
 349 
 
 32 
 
 273 
 
 23 
 
 09 
 
 380 
 
 30 
 
 295 21 -10 
 
 409 
 
 28 
 
 - -000315 - 20 
 
 0-11 
 
 - -000436 
 
 - 27 
 
 335 
 
 19 -12 
 
 462 ! 25 
 
 353 
 
 17 
 
 13 
 
 486 23 
 
 369 16 
 
 14 
 
 507 ! 20 
 
 384 14 
 
 15 
 
 526 18 
 
 - -OOO397 - 12 
 
 O 16 
 
 - -000542 - 15 
 
 407 10 
 
 17 
 
 556 13 
 
 4 l6 
 
 9 
 
 18 
 
 568 12 
 
 424 
 
 7 
 
 19 
 
 579 9 
 
 429 
 
 4 
 
 20 
 
 586 5 
 
 - '000432 
 
 - 2 
 
 021 
 
 - -000589 
 
 - 3 
 
 433 
 
 - I 
 
 22 
 
 59' 
 
 i 
 
 432 
 
 + I 
 
 23 
 
 590 
 
 + 2 
 
 430 
 
 4 
 
 24 
 
 587 
 
 5 
 
 425 
 
 6 
 
 25 
 
 580 
 
 8 
 
 - -000418 
 
 + 8 
 
 O-26 
 
 - -000571 
 
 + 10 
 
 410 
 
 10 
 
 27 
 
 560 
 
 12 
 
 399 
 
 12 
 
 28 
 
 546 
 
 15 
 
 387 
 
 13 
 
 29 
 
 530 
 
 17 
 
 373 
 
 '5 
 
 30 
 
 512 
 
 20 
 
 - -000357 
 
 + '7 
 
 O31 
 
 - '00049 l 
 
 + 23 
 
 339 
 
 '9 
 
 32 
 
 467 
 
 25 
 
 320 
 
 20 
 
 33 
 
 441 
 
 26 
 
 300 
 
 21 
 
 34 
 
 4i5 
 
 27 
 
 278 
 
 23 
 
 35 
 
 387 
 
 3 
 
 - -000254 
 
 + 2 4 
 
 0-36 
 
 - -000356 
 
 4- 32 
 
 230 
 
 *5 
 
 37 
 
 324 
 
 33 
 
 205 
 
 26 
 
 38 
 
 291 
 
 34 
 
 179 
 
 27 
 
 39 
 
 257 
 
 35 
 
 152 
 
 27 
 
 4O 
 
 222 
 
 36 
 
 - -000125 
 
 + 28 
 
 O-41 
 
 - -OOOI86 
 
 -1- 37 
 
 97 
 
 28 
 
 42 149 
 
 37 
 
 69 
 
 2 9 
 
 43 
 
 112 
 
 38 
 
 40 
 
 29 
 
 44 
 
 74 
 
 38 
 
 12 
 
 28 
 
 45 
 
 37 
 
 37 
 
 + '000016 
 
 + 28 
 
 O'46 
 
 oooooo 
 
 + 37 
 
 44 
 
 28 
 
 47 
 
 + 37 
 
 37 
 
 72 
 
 28 
 
 48 
 
 73 
 
 36 
 
 99 
 
 27 
 
 49 
 
 109 
 
 35 
 
 + -000125 
 
 + 26 
 
 050 
 
 + -000143 
 
 + 34 
 
 I 
 
 Z 
 
 3 
 
 4 
 
 5 
 
 Eel., Oc. 
 
 A 
 
 K 
 
 Sk, Tr. 
 
 A 
 
 d 
 + -000125 
 
 + 26 
 
 d 
 50 
 
 d 
 + 'OOOI43 
 
 + 34 
 
 'SI 
 
 26 
 
 51 
 
 177 
 
 34 
 
 I 7 6 
 
 24 
 
 52 
 
 2IO 
 
 32 
 
 I 99 
 
 23 
 
 53 
 
 241 
 
 3' 
 
 222 
 
 22 
 
 54 
 
 271 
 
 29 
 
 *43 
 
 21 
 
 55 
 
 298 
 
 27 
 
 + -000263 
 
 + '9 
 
 056 
 
 f -000324 
 
 + 25 
 
 28l 
 
 18 
 
 57 
 
 348 
 
 23 
 
 298 
 
 16 
 
 58 
 
 370 
 
 21 
 
 312 
 
 '4 
 
 59 
 
 389 
 
 18 
 
 325 
 
 '3 
 
 60 
 
 406 
 
 17 
 
 + -000337 
 
 + ii 
 
 061 
 
 + 'OOO4ZS 
 
 + 5 
 
 347 
 
 9 
 
 62 
 
 435 
 
 12 
 
 355 
 
 7 
 
 63 
 
 446 
 
 9 
 
 360 
 
 4 
 
 64 
 
 452 
 
 5 
 
 363 
 
 3 
 
 65 
 
 456 
 
 4 
 
 + -000365 
 
 + i 
 
 066 
 
 + -000459 
 
 + 2 
 
 365 
 
 - i 
 
 67 
 
 459 
 
 2 
 
 363 
 
 3 
 
 68 
 
 456 
 
 4 
 
 359 
 
 6 
 
 69 
 
 45i 
 
 7 
 
 35* 
 
 8 
 
 70 
 
 442 
 
 10 
 
 + -000344 
 
 - 9 
 
 O'71 
 
 + -000431 
 
 - 12 
 
 334 
 
 ii 
 
 72 
 
 418 
 
 15 
 
 322 
 
 13 
 
 73 
 
 402 
 
 '7 
 
 308 
 
 '5 
 
 74 
 
 384 
 
 2O 
 
 292 
 
 i7 
 
 75 
 
 363 
 
 22 
 
 + -000275 
 
 - 18 
 
 076 
 
 4- -000340 
 
 - 24 
 
 256 
 
 20 
 
 77 
 
 3'5 
 
 26 
 
 236 
 
 21 
 
 78 
 
 289 
 
 27 
 
 213 
 
 22 
 
 79 
 
 261 
 
 *9 
 
 192 
 
 24 
 
 80 
 
 231 
 
 3' 
 
 + -000168 
 
 - 25 
 
 081 
 
 + 'OOO2OO 
 
 3 2 
 
 '43 
 
 26 
 
 82 
 
 I6 7 
 
 34 
 
 117 
 
 27 
 
 83 
 
 33 
 
 n 
 
 90 
 
 *7 
 
 84 
 
 97 
 
 36 
 
 63 
 
 28 
 
 85 
 
 61 
 
 37 
 
 + -000035 
 
 - 28 
 
 086 
 
 + -000024 
 
 - 37 
 
 + 7 
 
 28 
 
 87 
 
 12 
 
 37 
 
 21 
 
 28 
 
 88 
 
 49 
 
 37 
 
 49 
 
 29 
 
 89 
 
 86 
 
 38 
 
 78 
 
 29 
 
 90 
 
 124 
 
 38 
 
 - -000106 
 
 - 28 
 
 091 
 
 - -000161 
 
 - 37 
 
 '33 
 
 27 
 
 92 
 
 197 
 
 36 
 
 161 
 
 28 
 
 93 
 
 233 
 
 36 
 
 188 
 
 26 
 
 94 
 
 268 
 
 34 
 
 213 
 
 25 
 
 95 
 
 301 
 
 33 
 
 - -000238 
 
 - 25 
 
 096 
 
 - -000334 
 
 - 33 
 
 262 
 
 3 
 
 97 
 
 366 
 
 3i 
 
 284 
 
 22 
 
 98 
 
 395 
 
 29 
 
 306 
 
 21 
 
 99 
 
 4*3 
 
 28 
 
 - -000326 
 
 - '9 
 
 1 00 
 
 - -000450 
 
 - 26 
 
 Subtracted Constant : - o^-ooooso. This Table includes a constant portion of the Equation of Light (see Introduction). The Entry must I 
 
 supplemented by the Equations of Tables XLVI-L. The whole must be corrected by adding to itself its product by the Variation, as drawn from 
 
 Tables XXV-XXIX. For Shadows and Transits it must also be corrected for Jupiter's Phase by Table LI, 
 
 57 * 
 
XLV continued 
 
 SATELLITE I 
 
 Tables of the Phenomena 
 
 Reductions to Middle 
 
 Argument K 
 
 I 
 
 2 
 
 3 
 
 4 
 
 5 
 
 Eel., Oc. 
 
 A 
 
 K 
 
 Sh., Tr. 
 
 A 
 
 d 
 - -000326 
 
 - '9 
 
 d 
 
 1 00 
 
 d 
 - '000450 
 
 - 26 
 
 345 
 
 ll 
 
 01 
 
 475 
 
 24 
 
 362 
 
 '7 
 
 02 
 
 498 
 
 22 
 
 378 
 
 '5 
 
 03 
 
 518 
 
 '9 
 
 39* 
 
 13 
 
 04 
 
 535 
 
 17 
 
 401 
 
 1 1 
 
 05 
 
 55 
 
 4 
 
 - -0004 1 2 
 
 - 10 
 
 1 06 
 
 - -000563 
 
 >3 
 
 421 
 
 8 
 
 07 
 
 575 
 
 ii 
 
 4*7 
 
 6 
 
 08 
 
 584 
 
 7 
 
 431 
 
 3 
 
 O9 
 
 588 
 
 4 
 
 433 
 
 - 2 
 
 10 
 
 59' 
 
 - * 
 
 -000433 
 
 O 
 
 1-11 
 
 - -000591 
 
 + i 
 
 43i 
 
 + 3 
 
 12 
 
 589 
 
 4 
 
 428 
 
 5 
 
 13 
 
 584 
 
 7 
 
 422 
 
 7 
 
 14 
 
 576 
 
 9 
 
 4'5 
 
 9 
 
 15 
 
 565 
 
 ii 
 
 '000404 
 
 + ii 
 
 1-16 
 
 - -000553 
 
 + '4 
 
 39 2 
 
 '3 
 
 17 
 
 538 
 
 16 
 
 380 
 
 >4 
 
 18 
 
 5*i 
 
 '9 
 
 365 
 
 16 
 
 19 
 
 502 
 
 22 
 
 348 
 
 18 
 
 2O 
 
 478 
 
 24 
 
 - -000329 
 
 + 20 
 
 1-21 
 
 - -000453 
 
 + 26 
 
 310 
 
 21 
 
 22 
 
 427 
 
 27 
 
 289 
 
 22 
 
 23 
 
 401 
 
 29 
 
 265 
 
 24 
 
 24 
 
 371 
 
 31 
 
 241 
 
 25 
 
 25 
 
 339 
 
 33 
 
 - -000217 
 
 + 26 
 
 1 26 
 
 - -000307 
 
 + 34 
 
 191 
 
 27 
 
 27 
 
 *73 
 
 35 
 
 164 
 
 *7 
 
 28 
 
 238 
 
 36 
 
 138 
 
 28 
 
 29 
 
 203 
 
 37 
 
 I IO 
 
 28 
 
 30 
 
 1 66 
 
 37 
 
 - -000082 
 
 + 29 
 
 1-31 
 
 - -000129 
 
 + 38 
 
 53 
 
 29 
 
 32 
 
 9 1 
 
 38 
 
 *<> 
 
 29 
 
 33 
 
 54 
 
 38 
 
 + 3 
 
 28 
 
 34 
 
 i7 
 
 37 
 
 3' 
 
 28 
 
 35 
 
 + 20 
 
 37 
 
 + -000059 
 
 + 28 
 
 1 36 
 
 + -000057 
 
 + 37 
 
 87 
 
 28 
 
 37 
 
 93 
 
 36 
 
 H3 
 
 27 
 
 38 
 
 127 
 
 35 
 
 139 
 
 26 
 
 39 
 
 161 
 
 34 
 
 165 
 
 25 
 
 4O 
 
 '95 
 
 33 
 
 + '000188 
 
 + 24 
 
 1-41 
 
 + -000227 
 
 + 3 2 
 
 212 
 
 *3 
 
 42 
 
 258 
 
 30 
 
 *33 
 
 22 
 
 43 
 
 286 
 
 28 
 
 254 
 
 2O 
 
 44 
 
 313 
 
 26 
 
 *73 
 
 '9 
 
 45 
 
 337 
 
 2 4 
 
 + -000291 
 
 + 17 
 
 1 46 
 
 + '000360 
 
 + 22 
 
 306 
 
 '5 
 
 47 
 
 38i 
 
 2O 
 
 3i9 
 
 H 
 
 48 
 
 399 
 
 Ii 
 
 332 
 
 12 
 
 49 
 
 4i5 
 
 16 
 
 + -000343 
 
 + 10 
 
 1 50 
 
 + -000430 
 
 + H 
 
 i 
 
 i 
 
 3 
 
 4 
 
 5 
 
 Eel., Oc. 
 
 A 
 
 K 
 
 Sh., Tr. 
 
 A 
 
 d 
 + '000343 
 
 + 10 
 
 d 
 1 50 
 
 d 
 + '000430 
 
 + 14 
 
 352 
 
 8 
 
 51 
 
 44 2 
 
 i i 
 
 358 
 
 6 
 
 52 
 
 45 
 
 7 
 
 362 
 
 4 
 
 53 
 
 454 
 
 5 
 
 365 
 
 + 2 
 
 54 
 
 458 
 
 + 3 
 
 365 
 
 
 
 55 
 
 460 
 
 
 
 + '000364 
 
 J% 
 
 1 56 
 
 + -000458 
 
 - 3 
 
 362 
 
 5 
 
 57 
 
 454 
 
 6 
 
 356 
 
 7 
 
 58 
 
 447 
 
 9 
 
 348 
 
 9 
 
 59 
 
 436 
 
 1 1 
 
 339 
 
 IO 
 
 60 
 
 4*5 
 
 H 
 
 + -000328 
 
 - 12 
 
 1 61 
 
 + -000410 
 
 - 16 
 
 315 
 
 4 
 
 62 
 
 393 
 
 '9 
 
 300 i 16 
 
 63 
 
 373 
 
 21 
 
 283 18 
 
 64 
 
 351 
 
 2 3 
 
 265 
 
 '9 
 
 65 
 
 3*7 
 
 25 
 
 + '000246 
 
 - 21 
 
 1 66 
 
 + -000301 
 
 - 27 
 
 225 
 
 22 
 
 67 
 
 274 
 
 28 
 
 203 
 
 23 
 
 68 
 
 245 
 
 3 
 
 179 
 
 25 
 
 69 
 
 215 
 
 3* 
 
 55 
 
 26 
 
 7O 
 
 183 
 
 33 
 
 + -000129 
 
 - 27 
 
 1 71 
 
 + -000149 
 
 35 
 
 102 
 
 *7 
 
 72 
 
 113 
 
 36 
 
 7 6 
 
 28 
 
 73 
 
 78 
 
 37 
 
 48 
 
 28 
 
 74 
 
 4i 
 
 37 
 
 + 20 
 
 28 
 
 75 
 
 + 5 
 
 37 
 
 - -OOOOO8 
 
 - 28 
 
 1 76 
 
 - -000032 
 
 - 37 
 
 3 6 
 
 2 9 
 
 77 
 
 69 
 
 38 
 
 65 
 
 29 
 
 78 
 
 107 
 
 38 
 
 93 
 
 2 9 
 
 79 
 
 144 
 
 38 
 
 I2O 
 
 28 
 
 80 
 
 181 
 
 37 
 
 - -000148 
 
 - 28 
 
 1'81 
 
 - -000217 
 
 - 36 
 
 I 7 6 
 
 27 
 
 82 
 
 252 
 
 35 
 
 2O2 
 
 26 
 
 83 
 
 286 
 
 34 
 
 227 
 
 25 
 
 84 
 
 319 
 
 33 
 
 251 
 
 2 4 
 
 85 
 
 35* 
 
 32 
 
 - -OO0274 
 
 - 23 
 
 1 86 
 
 - -000382 
 
 30 
 
 296 
 
 22 
 
 87 
 
 410 
 
 *9 
 
 3'7 
 
 20 
 
 88 
 
 438 
 
 27 
 
 336 
 
 '9 
 
 89 
 
 464 
 
 2 5 
 
 354 
 
 17 
 
 90 
 
 488 
 
 23 
 
 - '000370 
 
 - 16 
 
 1-91 
 
 - '000509 
 
 - 20 
 
 385 
 
 H 
 
 92 
 
 5*8 
 
 it 
 
 398 
 
 12 
 
 93 
 
 543 
 
 '5 
 
 408 
 
 IO 
 
 94 
 
 557 
 
 '3 
 
 4'7 
 
 9 
 
 95 
 
 569 
 
 12 
 
 - -000425 
 
 - 7 
 
 1 96 
 
 - -000580 
 
 - 9 
 
 429 
 
 4 
 
 97 
 
 586 
 
 5 
 
 43* 
 
 2 
 
 98 
 
 589 
 
 3 
 
 433 
 
 - I 
 
 99 
 
 591 - i 
 
 - -000432 
 
 + 2 
 
 200 
 
 - '000590 + 2 
 
 Applied Constant : -0-000050. This Table includes a constant portion of the Equation of Light (see Introduction). The Entry must be 
 
 supplemented by the Equations of Tables XLVI-L. The whole must be corrected by adding to itself its product by the Variation as drawn from 
 
 Tables XXV-XXIX. For Shadows and Transits it must also be corrected for Jupiter's Phase by Table LI. 
 
XLVI 
 
 SATELLITE I 
 
 Tables of the Phenomena 
 
 Equation of the Reduction 
 
 Occultations only 
 
 V 
 r \ 
 
 O d O O d '1 O d '2 
 
 O d. 3 O d. 4 O rt. 5 
 
 O d 6 O d 7 O d 8 
 
 O d.g jd.Q 1 d. 1 
 
 1<i-2 l d -3 1 d '4 
 
 i d B i d -e i d> 7 
 
 1 d -8 1 d '9 2 d -O 
 
 d 
 
 o 
 
 H- 3 + 3 + 2 
 
 + I - I 
 
 -2-2 3 
 
 - 3 .. 3 _ 2 
 
 -I + I 
 
 +2+2+3 
 
 + 3 + 3 + 2 
 
 20 
 
 + 25 +23 +19 
 
 + 12 + 4-5 
 
 -13 -19 -23 
 
 - 25 - 23 - 18 
 
 -11-2 + 6 
 
 + 14 +20 +24 
 
 + 24 +22 +17 
 
 4O 
 
 + 43 +41 +33 
 
 + 21 + 7-9 
 
 -23 -34 -41 
 
 -43 -4 -3 1 
 
 -19 -- 4 +11 
 
 + 25 +36 +42 
 
 + 43 +39 +3 
 
 6O 
 
 + 57 +54 +43 
 
 + 28 + 9 - 12 
 
 -30 -45 -55 
 
 -57 -S 2 -4> 
 
 -25 - 5 +15 
 
 + 33 +47 +56 
 
 + 57 +5i +39 
 
 ao 
 
 + 64 +60 +49 
 
 + 31 +10 - 13 
 
 -34 -5i -61 
 
 -64 -59 -46 
 
 -28 - 6 +17 
 
 + 37 +53 +62 
 
 + 64 +57 +44 
 
 too 
 
 + 64 +60 +48 
 
 + 31 +10 - 13 
 
 -34 -51 -61 
 
 -63 -58 -46 
 
 -28 - 6 + 16 
 
 + 37 +53 +62 
 
 + 63 +57 +43 
 
 12O 
 
 + 56 +52 +42 
 
 + 27 + 8 - n 
 
 -30 -44 -53 
 
 -56 -51 -40 
 
 -24-5+14 
 
 + 32 +46 +54 
 
 + 55 +5 +38 
 
 140 
 
 + 41 +39 +31 
 
 + 20 + 6-8 
 
 -22 -33 -39 
 
 -41 -38 -30 
 
 - 18 - 4 +n 
 
 + 24 +34 +40 
 
 + 41 +37 +28 
 
 16O 
 
 + 22 + 21 +17 
 
 + u + 3 " 4 
 
 - 12 - 17 - 21 
 
 - 22 - 2O l6 
 
 - IO - 2 + 6 
 
 + 13 + 18 +21 
 
 + 22 +20 +15 
 
 18O 
 
 O O O 
 
 o o o 
 
 O O O 
 
 O O O 
 
 o o o 
 
 000 
 
 O 
 
 2OO 
 
 - 22 - 2O - l6 
 
 -ii -3 + 4 
 
 + 12 +17 +21 
 
 + 22 +2O + l6 
 
 + 9 + 2-6 
 
 - 12 - l8 -21 
 
 -22 -19 -15 
 
 22O 
 
 -41 -39 -31 
 
 -20-6 + 8 
 
 + 22 +33 +39 
 
 + 41 +38 +30 
 
 + 18 + 4 - n 
 
 -24 -34 -4 
 
 -41 -37 -28 
 
 24O 
 
 -56 -52 -42 
 
 -27 - 8 +11 
 
 + 30 +44 +53 
 
 + 56 +51 +40 
 
 + 24 + 5-14 
 
 -32 -4 6 -54 
 
 -55 -5 -38 
 
 26O 
 
 - 64 - 60 - 48 
 
 - 31 - 10 +13 
 
 + 34 +5' + 6 ' 
 
 + 64 +58 +46 
 
 + 28 + 6 -16 
 
 -37 -53 -62 
 
 -63 -57 -43 
 
 28O 
 
 - 64 - 60 - 49 
 
 - 31 -10+13 
 
 + 34 + 5' +61 
 
 + 64 +59 +46 
 
 + 28 + 6 - 17 
 
 -37 -54 -63 
 
 -65 -58 -44 
 
 3OO 
 
 -57 -54 -43 
 
 - 28 - 9 +12 
 
 + 30 +45 +55 
 
 + 57 +53 +4 1 
 
 + 25 + 5 -15 
 
 -33 -47 -5 6 
 
 -57 -5 1 -39 
 
 32O 
 
 -44 -4' -33 
 
 -2i -7 + 9 
 
 + 23 +35 +42 
 
 + 43 +40 +31 
 
 + 19 + 4 - ii 
 
 -25 -3 6 -4* 
 
 -43 -39 -3 
 
 340 
 
 -25 -23 -19 
 
 -12 -4+5 
 
 + 13 +20 +24 
 
 + 25 +23 +18 
 
 + 11 + 2 - 6 
 
 - J4 -20 - 24 
 
 -25 -22 -17 
 
 360 
 
 -3-3-2 
 
 - I + I 
 
 + 2 + 2 + 3 
 
 + 3 + 3 + 2 
 
 + 1 O - 1 
 
 -2-3-3 
 
 -3-3-2 
 
 38O 
 
 + 19 + 18 +14 
 
 + 9 + 3-4 
 
 - 10 - 15 - 18 
 
 -19 -17 -14 
 
 -8-2 + 5 
 
 + u + 16 + 18 
 
 + 19 +17 +13 
 
 400 
 
 + 39 + 36 +29 
 
 + 19 + 6-8 
 
 -21 -31 -37 
 
 -39 -3<5 -28 
 
 - 17 - 4 +10 
 
 + 22 +32 +38 
 
 + 39 +35 +26 
 
 XLVI I 
 
 The unit in this Table is o d oooooi. No Constant has been added. 
 
 Equation of the Reduction 
 
 Transits only 
 
 \K 
 
 O d. o O d. t O d. 2 
 
 O d -3 O d 4 O d 5 
 
 O d 6 O d 7 O d 8 
 
 Qd.g 1 d. Q jd.j 
 
 1 d> 2 1 d '3 1 d '4 
 
 1 d -5 1 d> 6 1 d 7 
 
 1 d -8 1 d- 9 2 d 'O 
 
 d 
 
 
 
 -4-4-3 
 
 -2-1 + 1 
 
 + Z + 3 + 4 
 
 + 4+3 + 3 
 
 + 2 O - I 
 
 -2-3-4 
 
 - 4 -' 3 - 3 
 
 20 
 
 -33 -3i -24 
 
 - 16 -- 5 + 7 
 
 + 17 +26 +31 
 
 + 33 +30 +23 
 
 + H + 3-8 
 
 -19 -27 -31 
 
 -33 -29 -22 
 
 4O 
 
 -57 -54 -43 
 
 -28 - 9 +12 
 
 + 3' +45 +55 
 
 + 57 +53 + 4i 
 
 + 25 + 5 -15 
 
 -33 -47 -55 
 
 -57 -5' -39 
 
 6O 
 
 -76 -71 -57 
 
 -37 -ii +16 
 
 + 40 +60 +72 
 
 + 76 +70 +55 
 
 + 33 + 7 -'9 
 
 -44 -62 -73 
 
 -76 -68 -52 
 
 SO 
 
 -85 -80 -64 
 
 -42 - 13 + 1 8 
 
 + 45 +67 +81 
 
 + 85 +78 +61 
 
 + 37 + 8 -22 
 
 -49 -70 -82 
 
 -85 -76 -58 
 
 1OO 
 
 -84 -79 -64 
 
 -41 - 13 +18 
 
 + 45 +67 +80 
 
 + 84 +77 +61 
 
 + 36 + 8 - 22 
 
 -49 -70 -81 
 
 -84 -76 -58 
 
 120 
 
 -74 -70 -56 
 
 - 36 - ii +15 
 
 + 40 +58 +70 
 
 + 74 +68 +53 
 
 + 32 + 7-19 
 
 -43 -61 -71 
 
 -74 -66 -51 
 
 14O 
 
 -55 -52 -41 
 
 - 27 - 8 +11 
 
 + 29 +43 +52 
 
 + 55 +5 +39 
 
 + 24 + 5 -14 
 
 -32 -45 -53 
 
 -55 -49 - 38 
 
 16O 
 
 - 29 - 27 22 
 
 -14-4 + 6 
 
 + 16 +23 +28 
 
 + 29 +27 +21 
 
 + 13 + 3-7 
 
 - 17 - 24 - 28 
 
 -29 -26 -20 
 
 18O 
 
 000 
 
 O 
 
 o o o 
 
 o o o 
 
 O 
 
 o o o 
 
 O 
 
 20O 
 
 + 29 +27 +22 
 
 + 14 + 4-6 
 
 -15 -23 . 27 
 
 - 29 - 26 - 21 
 
 -12 -3 + 7 
 
 + 17 +24 +28 
 
 + 29 +26 +20 
 
 22O 
 
 + 54 +5 1 +4' 
 
 + 27 + 8 - ii 
 
 -29 -43 -S 2 
 
 -54 -5 -39 
 
 -23 - 5 +14 
 
 + 32 +45 +53 
 
 + 54 +49 +37 
 
 240 
 
 + 74 +69 +56 
 
 + 36 +u - 15 
 
 -39 -58 -7 
 
 -74 -68 -53 
 
 -32 - 7 +19 
 
 + 43 +61 +71 
 
 + 74 + 6 5 +5' 
 
 26O 
 
 + 84 +79 +64 
 
 + 41 +13 - 18 
 
 -45 -67 -80 
 
 -84 -77 -61 
 
 -36 - 8 +22 
 
 + 49 +70 +81 
 
 + 84 +76 +58 
 
 28O 
 
 + 85 +80 +64 
 
 + 42 +13 -18 
 
 -45 -67 -81 
 
 -85 -78 -61 
 
 -37 - 8 +22 
 
 + 49 +70 +82 
 
 + 85 +76 +58 
 
 3OO 
 
 + 76 +71 +57 
 
 + 37 +u - 16 
 
 -41 -60 -72 
 
 _ 7 6 -70 -55 
 
 -33 ~ 7 +'9 
 
 + 44 +63 +73 
 
 + 76 +68 +52 
 
 32O 
 
 + 58 +54 +44 
 
 + 28 + 9 -12 
 
 -31 -46 -55 
 
 -58 -53 -42 
 
 -25 -- 5 +15 
 
 + 34 +48 +5 6 
 
 + 58 +52 +40 
 
 340 
 
 + 33 +31 +25 
 
 + 16+5-7 
 
 - 18 - 26 -31 
 
 -33 -3 -24 
 
 -H-3 + 8 
 
 + 19 +27 +32 
 
 + 33 + 2 9 +22 
 
 36O 
 
 + 4 + 4 + 3 
 
 + 2 + I - I 
 
 - 2 - 3 - 4 
 
 - 4 - 4 - 3 
 
 - 2 + I 
 
 + 2 + 3 + 4 
 
 + 4 + 4+3 
 
 38O 
 
 25 24 - 19 
 
 -12-4+5 
 
 + 13 +20 +24 
 
 + 25 +23 +18 
 
 + II + 2 - 6 
 
 -15 -21 -24 
 
 - 25 -22 - 17 
 
 4OO 
 
 -51 -48 -39 
 
 -25 - 8 +u 
 
 + 28 +41 +49 
 
 + 51 +47 +37 
 
 + 22 + 5 -13 
 
 -30 -42 -50 
 
 -51 -46 -35 
 
 The unit in this Table is o j -oooooi. No Constant has been added. 
 59 
 
Equations of the Reduction 
 XLVIII XLIX 
 
 SATELLITE I 
 
 Tables of the Phenomena 
 
 LI Corrections for Phase 
 
 
 
 2 
 
 A 
 
 E., 0., S., T. 
 
 d 
 
 d 
 
 00 
 
 + -000035 
 
 1 
 
 46 
 
 2 
 
 57 
 
 3 
 
 64 
 
 4 
 
 68 
 
 5 
 
 67 
 
 06 
 
 + -000063 
 
 7 
 
 55 
 
 8 
 
 44 
 
 a 
 
 32 
 
 10 
 
 21 
 
 i 
 
 + '0000 1 I 
 
 2 
 
 4 
 
 3 
 
 i 
 
 4 
 
 3 
 
 5 
 
 8 
 
 1'6 
 
 + '000016 
 
 7 
 
 *7 
 
 8 
 
 39 
 
 9 
 
 5 
 
 20 
 
 60 
 
 2-1 
 
 + -000066 
 
 2 
 
 68 
 
 3 
 
 66 
 
 4 
 
 60 
 
 5 
 
 5 1 
 
 26 
 
 + -000040 
 
 7 
 
 28 
 
 8 
 
 17 
 
 9 
 
 8 
 
 30 
 
 3 
 
 3'1 
 
 + -oooooi 
 
 2 
 
 4 
 
 3 
 
 IO 
 
 4 
 
 20 
 
 5 
 
 31 
 
 36 
 
 + -000043 
 
 7 
 
 54 
 
 8 
 
 63 
 
 9 
 
 67 
 
 4-0 
 
 + -000068 
 
 ' 
 
 2 
 
 P 
 
 E., 0., S., T. 
 
 d d 
 
 ooo 
 
 + -ooooio 
 
 O5 
 
 8 
 
 1O 
 15 
 20 
 26 
 
 5 
 4 
 3 
 3 
 
 030 
 35 
 
 + -000004 
 6 
 
 40 
 
 8 
 
 45 
 
 10 
 
 5O 13 
 
 0-55 
 60 
 65 
 
 + '000015 
 
 17 
 18 
 
 7O 
 75 
 
 17 
 16 
 
 O-8O 
 85 
 
 + -000014 
 
 12 
 
 9O 
 95 
 1 00 
 
 9 
 
 7 
 + '000004 
 
 Added Constant: +o a -ooooio. 
 
 Added Constant : +o" f oooo3s. 
 
 I 
 
 2 
 
 Q 
 
 E., 0., S., T. 
 
 d 
 
 d 
 
 00 
 
 + -000005 
 
 1 
 
 3 
 
 '2 
 
 2 
 
 3 
 
 2 
 
 4 
 5 
 
 4 
 6 
 
 06 
 
 + -000008 
 
 7 
 
 8 
 
 8 
 
 7 
 
 9 
 IO 
 
 S 
 + -000003 
 
 Sh., Tr. 
 
 - 
 
 t 
 
 3 
 
 4 
 
 5 
 
 Additional 
 Equation to 
 Semiduration. 
 
 P 
 
 
 
 Correcting 
 Factor to 
 Semiduration. 
 
 A 
 
 Correcting 
 Factor to 
 Reduction. 
 
 d 
 
 d 
 
 
 
 
 oooooo 
 
 0000 
 
 ooooo 
 
 O 
 
 o-oooo 
 
 o 
 
 002 
 
 - '00003 
 
 - 3 
 
 - O'OOOI 
 
 o 
 
 004 
 
 II 
 
 5 
 
 2 
 
 o 
 
 006 
 
 24 
 
 8 
 
 5 
 
 
 
 008 
 
 42 
 
 10 
 
 8 
 
 + 1 
 
 01 o 
 
 65 
 
 13 
 
 '3 
 
 + 'OO0001 
 
 012 
 
 - -00093 
 
 - 16 
 
 - -0018 
 
 I 
 
 014 
 
 127 
 
 18 
 
 25 
 
 2 
 
 O1 6 
 
 1 66 
 
 21 
 
 33 
 
 2 
 
 O1 8 
 
 210 
 
 23 
 
 41 
 
 2 
 
 020 
 
 259 
 
 26 
 
 5' 
 
 + 'OOOOO3 
 
 0022 
 
 ' -00313 
 
 ' 2 9 
 
 - -0061 
 
 3 
 
 024 
 
 373 
 
 3' 
 
 73 
 
 4 
 
 O26 
 
 438 
 
 34 
 
 86 
 
 4 
 
 028 
 
 508 
 
 36 
 
 IOO 
 
 5 
 
 030 
 
 583 
 
 39 
 
 "5 
 
 + '000006 
 
 O-O32 
 
 - '00664 
 
 - 42 
 
 0131 
 
 6 
 
 034 
 
 750 
 
 44 
 
 148 
 
 7 
 
 O36 
 
 840 
 
 46 
 
 165 
 
 8 
 
 038 
 
 935 
 
 49 
 
 184 
 
 9 
 
 040 
 
 1036 
 
 52 
 
 205 
 
 + -ooooio 
 
 0042 
 
 - -01142 
 
 - 54 
 
 -0226 
 
 ii 
 
 044 
 
 1253 
 
 57 
 
 248 
 
 12 
 
 O46 
 
 1369 
 
 59 
 
 272 
 
 '3 
 
 048 
 
 1490 
 
 62 
 
 296 
 
 '4 
 
 050 
 
 1616 
 
 65 
 
 322 
 
 + -000015 
 
 0052 
 
 - -01748 
 
 - 67 
 
 - -0349 
 
 16 
 
 054 
 
 1884 
 
 70 
 
 377 
 
 16 
 
 056 
 
 2026 
 
 
 406 
 
 '7 
 
 O58 
 
 2173 
 
 75 
 
 437 
 
 '7 
 
 06O 
 
 2324 
 
 77 
 
 468 
 
 17 
 
 062 
 
 2482 
 
 81 
 
 501 
 
 + -000017 
 
 O-O64 
 
 - -02649 
 
 - 86 
 
 - '0536 
 
 The Argument of this Table is the Annual Parallax p, computed from the Approxi- 
 mate Tables IV, V, VI. 
 
 No Constant has been added to Column i, which gives au Additional Equation to the 
 Semiduration. Column* 3 and 4 must be multiplied into the Semiduration ae taken from 
 Tables XL-XLIV, and the Reduction as taken from Tables XiV-L, respectively, and the 
 products taken as further corrections to these quantities. 
 
 When p is positive, these corrections apply to Shadow Ingress and Transit Egress ; when 
 p is negative, they apply to Shadow Egress and Transit Ingress. 
 
 Added Constant: +o d 'ooooos. 
 
 60 
 
SATELLITE I 
 
 Tables of the Phenomena 
 
 LII 
 
 Standard Light Curve of Eclipse 
 
 i 
 
 2 
 
 k 
 
 Magnitude 
 
 -50 
 - 40 
 
 o-oo 
 02 
 
 38 
 
 04 
 
 36 
 
 06 
 
 34 
 
 08 
 
 32 
 
 i i 
 
 -3O 
 
 0-13 
 
 28 
 
 16 
 
 2'6 
 
 19 
 
 2-4 
 
 '22 
 
 2-2 
 
 25 
 
 - 2 - O 0-29 
 
 1-8 -32 
 
 16 -35 
 
 1-4 -39 
 
 1 '2 -43 
 
 -1-0 0-48 
 
 0-8 
 
 53 
 
 06 
 
 58 
 
 O-4 
 
 64 
 
 -02 
 
 70 
 
 OO 
 
 0-75 
 
 I 
 
 2 
 
 ft 
 
 Magnitude 
 
 00 
 
 075 
 
 + O-2 
 
 82 
 
 04 
 
 88 
 
 06 
 
 95 
 
 08 
 
 3 
 
 1O 
 
 10 
 
 + 12 
 
 19 
 
 1-4 
 
 28 
 
 1-6 
 
 38 
 
 1-8 
 
 50 
 
 20 
 
 6 1 
 
 + 2'2 
 
 73 
 
 24 
 
 87 
 
 26 
 
 2-02 
 
 28 
 
 2-18 
 
 30 
 
 2'37 
 
 + 3-2 
 
 2- 5 6 
 
 34 
 
 2 7 8 
 
 36 
 
 3-02 
 
 38 
 
 3-33 
 
 40 
 
 374 
 
 + 4-2 
 
 4'3 
 
 LII I Mean Motion 
 in Light Curve 
 
 LIV Equation 
 of Motion 
 
 i 
 
 2 
 
 3 
 
 Latitude 
 
 A h per i 8 
 
 Latitude 
 
 00 
 
 0416 
 
 80 
 
 02 
 
 421 
 
 78 
 
 O4 
 
 4*5 
 
 76 
 
 06 
 
 428 
 
 74 
 
 08 
 
 432 
 
 72 
 
 10 
 
 435 
 
 7O 
 
 12 
 
 0438 
 
 68 
 
 14 
 
 441 
 
 66 
 
 16 
 
 444 
 
 64 
 
 18 
 
 446 
 
 62 
 
 20 
 
 449 
 
 60 
 
 22 
 
 0451 
 
 58 
 
 24 
 
 45* 
 
 56 
 
 26 
 
 454 
 
 54 
 
 28 
 
 455 
 
 52 
 
 30 
 
 456 
 
 50 
 
 32 
 
 457 
 
 48 
 
 34 
 
 458 
 
 46 
 
 36 
 
 459 
 
 44 
 
 38 
 
 459 
 
 42 
 
 40 
 
 0459 
 
 40 
 
 i 
 
 2 
 
 Variation 
 
 Correction 
 
 - 01 
 -005 
 
 + -0002 
 + 0001 
 
 000 
 
 oooo 
 
 r 005 
 
 - 'OOOI 
 
 010 
 
 - 'OOO2 
 
 The Argument of this Table 
 is the Variation derived from 
 Tables XXV-XXIX ; the Cor- 
 rection is to be applied to the 
 Equation of Table LIII. 
 
 The Velocity of k per i" as 
 derived from Tables LIII, LIV 
 is to be taken with sign, 
 + for Disappearance 
 - for Reappearance. 
 
 The Co-ordinate k is the fraction or multiple of the radius of the 
 Sun which is cut off by Jupiter's rim. as seen from the Ceutre of the 
 Satellite. 
 
 61 
 
SATELLITE II 
 
 Approximate Tables 
 
 of 
 
 Heliocentric and Geocentric Conjunction 
 
SATELLITE II 
 
 Approximate Tables of Conjunction 
 
 Epochs of Conjunction 
 
 I 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 
 Year 
 
 Conjunc- 
 tion 
 
 Variation 
 for ioo d 
 
 a 
 
 Variation 
 for ioo d 
 
 P 
 
 7 
 
 * 
 
 e 
 
 
 
 d 
 
 
 d 
 
 
 d 
 
 d 
 
 d 
 
 d 
 
 
 185O 
 
 2-3345 
 
 
 
 1787-4 
 
 + "04 
 
 3347 
 
 I- 9 
 
 O-gl I 
 
 1-95 
 
 The constant -o d -iooo 
 
 
 
 
 
 
 
 
 
 
 has been applied to 
 
 1851 
 
 3-4062 
 
 . 
 
 2153-6 
 
 + -04 
 
 301-89 
 
 2'7 
 
 0-335 
 
 2-25 
 
 each entry in column 
 
 *1852 
 
 0-9240 
 
 * . 
 
 2516-3 
 
 + -04 
 
 265-53 
 
 365-2 
 
 3-255 
 
 2-54 
 
 2. 
 
 1853 
 
 0-9958 
 
 > 
 
 2882-5 
 
 + -oi 
 
 232-71 
 
 0-8 
 
 2-679 
 
 2-84 
 
 
 1854 
 
 2-0675 
 
 
 
 3248-6 
 
 + -oi 
 
 199-90 
 
 1-6 
 
 2'IOZ 
 
 3''4 
 
 The constant - o d -o8o 
 
 1855 
 
 3'i393 
 
 . . . 
 
 3614-8 
 
 - -03 
 
 167-09 
 
 2'4 
 
 1-526 
 
 3'44 
 
 has been applied to 
 
 
 
 
 
 
 
 
 
 
 each entry in columns 
 
 *1856 
 
 0-6566 
 
 
 3977-1 
 
 - '4 
 
 130-72 
 
 364-9 
 
 O-92I 
 
 0-19 
 
 8,9- 
 
 1857 
 
 07283 
 
 
 
 10-4 
 
 - -01 
 
 97-91 
 
 0-5 
 
 0-344 
 
 0-49 
 
 
 1858 
 
 1-7999 
 
 . . . 
 
 376-4 
 
 - -oi 
 
 65-10 
 
 1'J 
 
 3-293 
 
 0-79 
 
 For Eclipses the argu- 
 
 1859 
 
 2-8716 
 
 . . . 
 
 742-5 
 
 + -01 
 
 32-29 
 
 2-1 
 
 2716 
 
 1-09 
 
 ment y is not wanted. 
 
 *1860 
 
 0-3893 
 
 * * 
 
 1105-1 
 
 + -04 
 
 394-80 
 
 364-6 
 
 2-II I 
 
 i'39 
 
 
 
 
 
 
 
 
 
 
 
 Column 2 corrected by 
 
 1861 
 
 0-4612 
 
 + 'OOOI 
 
 1471-4 
 
 + -07 
 
 361-99 
 
 O'2 
 
 1-535 
 
 1-69 
 
 the equations from the 
 
 1862 I-533I 
 
 
 1837-7 
 
 + -04 
 
 329-18 
 
 I'O 
 
 0-958 
 
 1-99 
 
 following tables, gives 
 
 1863 2-6048 
 
 * * * 
 
 2203-8 
 
 - -04 
 
 296-37 
 
 1-8 
 
 0-382 
 
 2-29 
 
 superior conjunction 
 
 '1864 0-1222 
 
 - -oooi 
 
 2566-0 
 
 - -13 
 
 260-00 
 
 364-3 
 
 3-302 
 
 2-59 
 
 as required for Eclipses 
 
 1865 
 
 0-1934 
 
 - -oooi 
 
 2931-5 
 
 - -16 
 
 227-19 
 
 365-' 
 
 2725 
 
 2-89 
 
 and Occupations. To 
 
 
 
 
 
 
 
 
 
 
 find inferior conjunc- 
 
 1866 
 
 1-2647 
 
 - -0002 
 
 3*97'' 
 
 - -20 
 
 I94-38 
 
 07 
 
 2-149 
 
 3-I9 
 
 tion for Shadows and 
 
 1867 
 
 2-3356 
 
 - -oooi 
 
 3662-2 
 
 - 'I? 
 
 161-56 
 
 'S 
 
 1-573 
 
 3H8 
 
 Transits, add (or sub- 
 
 *1868 
 
 3'407i 
 
 . . . 
 
 4028-0 
 
 - -04 
 
 12875 
 
 2-3 
 
 0-996 
 
 0-23 
 
 tract) one half the 
 
 1869 
 
 3-4788 
 
 ... 
 
 61-6 
 
 + -06 
 
 95'94 
 
 3-i 
 
 0-420 
 
 o-53 
 
 synodic period, i. e. 
 
 1870 
 
 0-9967 
 
 + -oooi 
 
 4 2 4'5 
 
 + -16 
 
 59'57 
 
 0-4 
 
 3-340 
 
 0-83 
 
 i d "777. to the num- 
 
 
 
 
 
 
 
 
 
 
 bers of columns 2, 4, 
 
 1871 
 
 2-0690 
 
 + -oooi 
 
 79>'3 
 
 + -21 
 
 2676 
 
 I'2 
 
 2763 
 
 ''3 
 
 6, 7, 8, 9. 
 
 *1872 
 
 3-'4'4 
 
 + -0002 
 
 1158-1 
 
 + -20 
 
 392'83 
 
 2'O 
 
 2-187 
 
 i-43 
 
 
 1873 
 
 3'2'3S 
 
 + -oooi 
 
 1524-8 
 
 + 'IS 
 
 360-02 
 
 2-8 
 
 1-610 
 
 173 
 
 
 1874 
 
 073H 
 
 
 1887-6 
 
 + -03 
 
 323-65 
 
 o-o 
 
 1-005 
 
 2-03 
 
 
 1875 
 
 1-8030 
 
 - -oooi 
 
 2253-6 
 
 - -io 
 
 290-84 
 
 0-9 
 
 0-429 
 
 2-33 
 
 
 *1876 
 
 2-8741 
 
 - -OOO2 
 
 2619-1 
 
 - -18 
 
 258-03 
 
 17 
 
 3-378 
 
 2-63 
 
 
 1877 
 
 2-9453 
 
 - -ooo* 
 
 2984-4 
 
 - "9 
 
 225-22 
 
 2-5 
 
 2-801 
 
 2-93 
 
 
 1878 
 
 0-4624 
 
 - -oooi 
 
 3346-3 
 
 - -18 
 
 188-85 
 
 365-0 
 
 2-196 
 
 3-23 
 
 
 1879 
 
 I-5336 
 
 - -oooi 
 
 37II-7 
 
 - -io 
 
 156-04 
 
 0-6 
 
 1-619 
 
 3-52 
 
 
 *188O 
 
 2-6052 
 
 ... 
 
 4077-7 
 
 + -03 
 
 123-23 
 
 '4 
 
 '043 
 
 0-27 
 
 
 1881 
 
 2-6771 
 
 + -0001 
 
 111-5 
 
 + -13 
 
 90-41 
 
 2-2 
 
 0-466 
 
 0-57 
 
 
 1882 
 
 0-1952 
 
 + -oooi 
 
 474-6 
 
 + -17 
 
 54'05 
 
 3647 
 
 3-387 
 
 0-87 
 
 
 1883 
 
 1-2674 
 
 + -oooi 
 
 841-3 
 
 + 'H 
 
 21-24 
 
 O"2 
 
 2-810 
 
 1-17 
 
 
 *1884 
 
 2-3395 
 
 + -oooi 
 
 1207-7 
 
 + -07 
 
 387-3' 
 
 1*1 
 
 2-234 
 
 1-47 
 
 
 1885 
 
 2*4112 
 
 ... 
 
 1573-9 
 
 - -01 
 
 354-50 
 
 I'9 
 
 1-657 
 
 1-77 
 
 
 1886 
 
 3-4828 
 
 - 'OOOI 
 
 >939' 8 
 
 - -08 
 
 321-68 
 
 2-7 
 
 i -08 1 
 
 2-07 
 
 
 1887 
 
 roooo 
 
 - -0001 
 
 2301-9 
 
 - -ii 
 
 285-32 
 
 365-2 
 
 0-476 
 
 2-37 
 
 
 *1888 
 
 2-071 + 
 
 - -oooi 
 
 2667-6 
 
 - -10 
 
 252-50 
 
 0-8 
 
 3-425 
 
 2-67 
 
 
 1889 
 
 2-1429 
 
 ... 
 
 3033-3 
 
 - -06 
 
 219 69 
 
 1-6 
 
 2-848 
 
 2-97 
 
 
 189O 
 
 3-2I4S 
 
 ... 
 
 3399'3 
 
 + -03 
 
 186-88 
 
 2 '4 
 
 2-272 
 
 3-27 
 
 
 1891 
 
 0-7323 
 
 + -OOOI 
 
 3762-1 
 
 + -io 
 
 150-51 
 
 364-9 
 
 1-666 
 
 O'O2 
 
 
 *1892 
 
 1-8044 
 
 + -oooi 
 
 4128-6 
 
 + -II 
 
 11770 
 
 o-S 
 
 1-090 
 
 0-32 
 
 
 1893 
 
 1-8764 
 
 + -oooi 
 
 162-5 
 
 + -II 
 
 84-89 
 
 i'3 
 
 0-513 
 
 O-62 
 
 
 1894 
 
 1-9484 
 
 + -oooi 
 
 528-9 
 
 + -08 
 
 52-08 
 
 2'I 
 
 3-462 
 
 0-92 
 
 
 1895 
 
 0-4662 
 
 ... 
 
 891-7 
 
 + -oi 
 
 1571 
 
 364-6 
 
 2-857 
 
 I-2I 
 
 
 *1896 
 
 I-5378 
 
 
 1257-6 
 
 - -04 
 
 38178 
 
 O'l 
 
 2-281 
 
 1-5I 
 
 
 1897 
 
 1-6093 
 
 - -oooi 
 
 1623-5 
 
 - -08 
 
 348-97 
 
 1*0 
 
 1704 
 
 1-81 
 
 
 1898 
 
 2-6807 
 
 - -oooi 
 
 1989-2 
 
 - -10 
 
 316-16 
 
 1-8 
 
 1-128 
 
 2'II 
 
 
 1899 
 
 0-1981 
 
 - -oooi 
 
 *35i-4 
 
 - -07 
 
 27979 
 
 364-3 
 
 0-523 
 
 2-41 
 
 
 19OO 
 
 1-2696 
 
 
 2717-3 
 
 - -oi 
 
 246-98 
 
 365-1 
 
 3'47i 
 
 271 
 
 
 Period 
 
 3-5541 
 
 ... 
 
 4332-6 
 
 
 398-88 
 
 365-3 
 
 3-525 
 
 3'55 
 
 
 64 
 
I continued 
 
 SATELLITE II 
 
 Approximate Tables of Conjunction 
 
 Epochs of Conjunction 
 
 I 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 g 
 
 9 
 
 
 Year 
 
 Conjunc- 
 tion 
 
 Variation 
 for ioo d 
 
 a 
 
 Variation 
 for ioo d 
 
 ft 
 
 7 
 
 S 
 
 6 
 
 
 
 d 
 
 
 d 
 
 
 d 
 
 d 
 
 d 
 
 d 
 
 
 1900 
 
 1-2696 
 
 ... 
 
 2717-3 
 
 - -oi 
 
 246-98 
 
 365-1 
 
 3-47I 
 
 271 
 
 The constant -o d *iooo 
 
 
 
 
 
 
 
 
 
 
 has been applied to 
 
 19O1 
 
 2-3414 
 
 ... 
 
 3083-4 
 
 + -06 
 
 214-17 
 
 0-7 
 
 2-895 
 
 3-01 
 
 each entry in column 
 
 1902 
 
 3'4'33 
 
 + -OOOI 
 
 3449-8 
 
 + -07 
 
 181-35 
 
 '5 
 
 2-319 
 
 3-31 
 
 2. 
 
 1903 
 
 0-9311 
 
 ... 
 
 3812-5 
 
 + -03 
 
 144-99 
 
 364-0 
 
 1713 
 
 0-06 
 
 
 *1904 
 
 2-0028 
 
 ... 
 
 4178-6 
 
 - *OI 
 
 II2-I8 
 
 364-8 
 
 I-I37 
 
 0-36 
 
 The constant - o d- o8o 
 
 19O5 
 
 2-0744 
 
 ... 
 
 2I2'O 
 
 - -04 
 
 79-36 
 
 0-3 
 
 0-560 
 
 0-66 
 
 has been applied to 
 
 
 
 
 
 
 
 
 
 
 each entry in columns 
 
 19O6 
 
 3-1459 
 
 . . . 
 
 577-8 
 
 - *o6 
 
 46-55 
 
 I '2 
 
 3*509 
 
 0-96 
 
 8,9* 
 
 1907 
 
 0-6634 
 
 
 940-2 
 
 - -04 
 
 
 3 6 37 
 
 2*904 
 
 1*25 
 
 
 *1908 
 
 17350 
 
 
 1306-1 
 
 - -01 
 
 376-26 
 
 364-5 
 
 2*328 
 
 I- 55 
 
 For Eclipses the argu- 
 
 19O9 
 
 1-8067 
 
 ... 
 
 1672-2 
 
 oo 
 
 343*45 
 
 o-o 
 
 I-75I 
 
 1-85 
 
 ment y is not wanted. 
 
 1910 
 
 2-8784 
 
 
 2038-3 
 
 + -03 
 
 310-63 
 
 0-9 
 
 I-I75 
 
 2*15 
 
 
 
 
 
 
 
 
 
 
 
 Column 2 corrected by 
 
 1911 
 
 0-3962 
 
 ... 
 
 2401-0 
 
 + -04 
 
 274-27 
 
 363-4 
 
 0-569 
 
 2-45 
 
 the equations from the 
 
 *1912 
 
 1-4679 
 
 
 2767-2 
 
 4- -03 
 
 241-46 
 
 364-2 
 
 3-518 
 
 275 
 
 following tables, gives 
 
 1913 
 
 1-5397 
 
 ... 
 
 3133-3 
 
 + -oi 
 
 208-64 
 
 365*0 
 
 2-942 
 
 3-05 
 
 superior conjunction as 
 
 1914 
 
 2-6114 
 
 . . . 
 
 3499*4 
 
 - -03 
 
 175-83 
 
 0-5 
 
 2-365 
 
 3-35 
 
 required for Eclipses 
 
 1915 
 
 0-1289 
 
 
 3861-7 
 
 - -06 
 
 139*46 
 
 363-1 
 
 1-760 
 
 o-io 
 
 and Occultations. To 
 
 
 
 
 
 
 
 
 
 
 find inferior conjunc- 
 
 -1916 
 
 1*2004 
 
 - 'OOOI 
 
 4227-6 
 
 *O7 
 
 106-65 
 
 363-9 
 
 1-184 
 
 0-40 
 
 tion for Shadows and 
 
 1917 
 
 1-2719 
 
 
 260-8 
 
 "OA 
 
 73-84 
 
 364-7 
 
 0-607 
 
 0*70 
 
 Transits, add (or sub- 
 
 1918 
 
 2-3436 
 
 ... 
 
 626*8 
 
 + "01 
 
 4'"3 
 
 O'2 
 
 0-031 
 
 I*OO 
 
 tract) one half the 
 
 1919 
 
 3*4153 
 
 
 993-o 
 
 + -04 
 
 8*22 
 
 I'l 
 
 2-980 
 
 1-30 
 
 synodic period, i. e. 
 
 *192O 
 
 0-9331 
 
 + -oooi 
 
 13557 
 
 + -07 
 
 37073 
 
 363-6 
 
 2-374 
 
 1-59 
 
 i d 777o, to the num- 
 
 
 
 
 
 
 
 
 
 
 bers of columns 2, 4, 
 
 1921 
 
 1-0050 
 
 + -oooi 
 
 1722*1 
 
 + -to 
 
 337-92 
 
 36^4 
 
 1798 
 
 1*89 
 
 6, 7, 8, 9. 
 
 1922 
 
 2-0771 
 
 
 2088*6 
 
 oo 
 
 305-11 
 
 365-2 
 
 I-22I 
 
 2*19 
 
 
 1923 
 
 3-1484 
 
 - *OOOI 
 
 2454-2 
 
 - -07 
 
 272-30 
 
 0*8 
 
 0*645 
 
 2-49 
 
 
 *1924 
 
 0-6660 
 
 - -oooi 
 
 2816-7 
 
 - -II 
 
 235-93 
 
 363-3 
 
 O-O4O 
 
 2*79 
 
 
 1925 
 
 0-7371 
 
 - -OOO2 
 
 3182-0 
 
 - -20 
 
 203-12 
 
 364*1 
 
 2-989 
 
 3-09 
 
 
 1926 
 
 1-8081 
 
 - -OOO2 
 
 3547-3 
 
 - -2O 
 
 170-31 
 
 364-9 
 
 2-412 
 
 3-39 
 
 
 1927 
 
 2-8793 
 
 -oooi 
 
 3912-7 
 
 - -14 
 
 137*49 
 
 0*4 
 
 1*836 
 
 0*14 
 
 
 *1928 
 
 0-3966 
 
 
 4274-9 
 
 - -03 
 
 101*13 
 
 363-0 
 
 I-23I 
 
 0*44 
 
 
 1929 
 
 0-4684 
 
 + -oooi 
 
 308-5 
 
 
 68-32 
 
 363-8 
 
 0-654 
 
 0*74 
 
 
 193O 
 
 1*5406 
 
 + *OO02 
 
 675-1 
 
 + -18 
 
 35-50 
 
 364-6 
 
 0-078 
 
 1*04 
 
 
 1931 
 
 2-6129 
 
 + *OOO2 
 
 1041-9 
 
 + -19 
 
 2-69 
 
 o-i 
 
 3-027 
 
 1-34 
 
 
 *1932 
 
 0*1311 
 
 + -oooi 
 
 1405*1 
 
 + -18 
 
 365-21 
 
 362-7 
 
 2*421 
 
 1-63 
 
 
 1933 
 
 0*2033 
 
 + -oooi 
 
 1771-8 
 
 + MI 
 
 
 363J 
 
 1*845 
 
 i'93 
 
 
 1934 
 
 1-2752 
 
 
 2138-1 
 
 oo 
 
 299-58 
 
 364-3 
 
 1-268 
 
 2-23 
 
 
 1935 
 
 2-3467 
 
 *OOOI 
 
 2503-9 
 
 - -ii 
 
 266-77 
 
 365-1 
 
 0-692 
 
 2-53 
 
 
 -1936 
 
 3HI79 
 
 - -OOO2 
 
 2869*4 
 
 - "'9 
 
 233-96 
 
 0-7 
 
 o - u6 
 
 2-83 
 
 
 1937 
 
 3-4890 
 
 - *OOO2 
 
 32347 
 
 - -21 
 
 201*14 
 
 'S 
 
 3*065 
 
 3-13 
 
 
 1938 
 
 1*0059 
 
 - *OOOI 
 
 
 - *I7 
 
 164*78 
 
 364-0 
 
 2-459 
 
 3H3 
 
 
 1939 
 
 2*0773 
 
 - 'OOOI 
 
 3962*1 
 
 - -07 
 
 131-97 
 
 364-8 
 
 1-883 
 
 0*18 
 
 
 *194O 
 
 3-H89 
 
 ... 
 
 4328-0 
 
 
 99-16 
 
 0-3 
 
 1*306 
 
 0-48 
 
 
 1941 
 
 3*2209 
 
 + -oooi 
 
 361-9 
 
 + -I 4 
 
 66*34 
 
 1*2 
 
 0*730 
 
 078 
 
 
 1942 
 
 0*7390 
 
 + -oooi 
 
 725-0 
 
 + -15 
 
 29*98 
 
 3637 
 
 0*125 
 
 I -08 
 
 
 1943 
 
 1-8111 
 
 + -oooi 
 
 1091*6 
 
 + -ii 
 
 396-05 
 
 364-5 
 
 3-073 
 
 1-38 
 
 
 '1944 
 
 2*8831 
 
 
 1458-0 
 
 + -04 
 
 363-24 
 
 O'O 
 
 2-497 
 
 1*68 
 
 
 1945 
 
 2*9548 
 
 ... 
 
 1824-0 
 
 - -03 
 
 330-43 
 
 0-8 
 
 1*920 
 
 1*98 
 
 
 1946 
 
 0-4722 
 
 - *OOOI 
 
 2186-4 
 
 - -08 
 
 294*06 
 
 363-4 
 
 1-315 
 
 2*28 
 
 
 1947 
 
 1-5436 
 
 - -oooi 
 
 2552-0 
 
 - '10 
 
 261-25 
 
 364-2 
 
 0-739 
 
 2-58 
 
 
 1948 
 
 2-6150 
 
 - -oooi 
 
 2917-8 
 
 - -07 
 
 2*8-43 
 
 365*0 
 
 0*162 
 
 2-88 
 
 
 1949 
 
 2-6866 
 
 ... 
 
 3283*7 
 
 - -03 
 
 195-62 
 
 0*5 
 
 3*111 
 
 3-18 
 
 
 195O 
 
 0-2042 
 
 
 3646*2 
 
 + -04 
 
 159-26 
 
 363-1 
 
 2-506 
 
 3H7 
 
 
 Period 
 
 3-554I 
 
 ... 
 
 4332-6 
 
 
 398-88 
 
 365-3 
 
 3-525 
 
 3'55 
 
 
I continued 
 
 SATELLITE II 
 
 Approximate Tables of Conjunction 
 
 Epochs of Conjunction 
 
 I 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 s 
 
 9 
 
 
 Year 
 
 Conjunc- 
 tion 
 
 Variation 
 for ioo d 
 
 u 
 
 Variation 
 for ioo d 
 
 fi 
 
 7 
 
 S 
 
 e 
 
 
 
 d 
 
 
 d 
 
 
 d 
 
 d 
 
 d 
 
 d 
 
 
 195O 
 
 O - 2O42 
 
 . . . 
 
 3646-2 
 
 + '04 
 
 I59-26 
 
 363-1 
 
 2*506 
 
 3'47 
 
 
 
 
 
 
 
 
 
 
 
 The constant -o d 'iooo 
 
 1951 
 
 1-2761 
 
 + -oooi 
 
 4012*6 
 
 + -08 
 
 126*44 
 
 363-9 
 
 I-93I 
 
 0*22 
 
 has been applied to 
 
 *1952 
 
 2-348I 
 
 + -oooi 
 
 46-3 
 
 + -io 
 
 93^3 
 
 3647 
 
 1-353 
 
 0*52 
 
 each entry in column 
 
 1953 
 
 2-4201 
 
 + "OOOI 
 
 412-8 
 
 + -08 
 
 6o*82 
 
 0*2 
 
 0*777 
 
 0-82 
 
 2. 
 
 1954 
 
 3-4920 
 
 
 779-1 
 
 + -04 
 
 28*00 
 
 1*1 
 
 0-2OO 
 
 I-I2 
 
 
 1955 
 
 1*0097 
 
 ... 
 
 1141-7 
 
 oo 
 
 39'53 
 
 363-6 
 
 3'120 
 
 1*42 
 
 The constant - o d -o8o 
 
 
 
 
 
 
 
 
 
 
 has been applied to 
 
 *1956 
 
 2-0813 
 
 
 1507-7 
 
 - <0 4 
 
 357-71 
 
 364-4 
 
 2*544 
 
 1*72 
 
 each entry in columns 
 
 1957 
 
 2-1528 
 
 - "OOOI 
 
 1873-6 
 
 - *o8 
 
 324*90 
 
 365-2 
 
 1*967 
 
 2*02 
 
 8,9- 
 
 1958 
 
 3-2242 
 
 - -oooi 
 
 2239-2 
 
 - -08 
 
 292*09 
 
 0-7 
 
 1-391 
 
 2*32 
 
 
 1959 
 
 0-7416 
 
 
 2601-5 
 
 - "3 
 
 255*72 
 
 363-3 
 
 0*786 
 
 2*62 
 
 For Eclipses the argu- 
 
 *196O 
 
 I-8I33 
 
 ... 
 
 2967-6 
 
 + -03 
 
 222*91 
 
 364-1 
 
 0*209 
 
 2* 9 2 
 
 ment y is not wanted. 
 
 1961 
 
 1-8852 
 
 * * 
 
 3333-9 
 
 + -06 
 
 190-10 
 
 364-9 
 
 3-158 | 3*22 
 
 Column 2 corrected by 
 
 1962 
 
 2-9570 
 
 
 3700-2 
 
 + -04 
 
 157-29 
 
 0*4 
 
 2-582 
 
 3-51 
 
 the equations from the 
 
 1963 
 
 0-4747 
 
 
 4062-8 
 
 oo 
 
 120*92 
 
 363-0 
 
 1*976 
 
 O-26 
 
 following tables, gives 
 
 *1964 
 
 I- 54 6 3 
 
 ... 
 
 96-2 
 
 - -04 
 
 88-u 
 
 363*8 
 
 1*4OO 
 
 0-56 
 
 superior conjunction as 
 
 1965 
 
 1-6179 
 
 
 462-1 
 
 - -06 
 
 55-30 
 
 364*6 
 
 0-823 
 
 0-86 
 
 required for Eclipses 
 
 
 
 
 
 
 
 
 
 
 and Occupations. To 
 
 1966 
 
 2-6894 
 
 . . . 
 
 828-0 
 
 - -03 
 
 22*48 
 
 O'l 
 
 0*246 
 
 1-16 
 
 find inferior conjunc- 
 
 1967 
 
 0-2070 
 
 
 1190-5 
 
 - -04 
 
 385*00 
 
 362-7 
 
 3*167 
 
 1*46 
 
 tion for Shadows and 
 
 *1968 
 
 1-2785 
 
 ... 
 
 i55 6 '3 
 
 - -03 
 
 352-19 
 
 363*5 
 
 2*591 
 
 1*76 
 
 Transits, add (or sub- 
 
 1969 
 
 1-3502 
 
 
 1922-5 
 
 + '04 
 
 319-38 
 
 364'3 
 
 2-OI4 
 
 2*06 
 
 tract) one half the 
 
 197O 
 
 2*4221 
 
 + 'OOOI 
 
 2288-7 
 
 + -06 
 
 286*56 
 
 365*1 
 
 1-438 
 
 2-36 
 
 synodic period, i.e. 
 
 
 
 
 
 
 
 
 
 
 i d *777o, to the num- 
 
 1971 
 
 3 '494 
 
 
 2655-0 
 
 + -04 
 
 25375 
 
 0-6 
 
 0*862 
 
 2-66 
 
 bers of columns 2, 4, 
 
 *1972 
 
 1-0117 
 
 ... 
 
 3017-6 
 
 + -03 
 
 217-39 
 
 363-2 
 
 0*256 
 
 2-96 
 
 6, 7, 8, 9. 
 
 1973 
 
 1-0834 
 
 
 3383-8 
 
 - -01 
 
 184*57 
 
 364*0 
 
 3*205 
 
 3-26 
 
 
 1974 
 
 2-1550 
 
 - 'OOOI 
 
 3749-7 
 
 - -07 
 
 151*76 
 
 364*8 
 
 2-629 
 
 0*01 
 
 
 1975 
 
 3-2264 
 
 - *OOOI 
 
 4115-4 
 
 - -07 
 
 118*95 
 
 0*3 
 
 2-052 
 
 0-31 
 
 
 *1976 
 
 07439 
 
 ... 
 
 145-1 
 
 + -03 
 
 82-58 
 
 362-9 
 
 ''447 
 
 0-60 
 
 
 1977 
 
 0-8159 
 
 
 511-6 
 
 - -4 
 
 4977 
 
 3637 
 
 0-870 
 
 0-90 
 
 
 1978 
 
 1-8870 
 
 - -oooi 
 
 877-0 
 
 - -08 
 
 16-96 
 
 364'5 
 
 0-294 
 
 I'20 
 
 
 1979 
 
 2-9588 
 
 + -0001 
 
 1243*2 
 
 + -07 
 
 383-03 
 
 0*0 
 
 3-243 
 
 1-50 
 
 
 *198O 
 
 0-4767 
 
 -t- -oooi 
 
 1 606- 1 
 
 + *n 
 
 346*66 
 
 362*5 
 
 2-638 
 
 1-80 
 
 
 1981 
 
 0-5487 
 
 + -oooi 
 
 1972-5 
 
 + -io 
 
 3I3-85 
 
 363H 
 
 2-061 
 
 2*10 
 
 
 1982 
 
 1-6207 
 
 
 2338-9 
 
 + -3 
 
 281*40 
 
 364*2 
 
 1-485 
 
 2*40 
 
 
 1983 
 
 2-6923 
 
 - 'OOOl 
 
 2704-9 
 
 -10 
 
 248*23 
 
 365-0 
 
 0-908 
 
 2*7O 
 
 
 "1984 
 
 0-2094 
 
 ... 
 
 3066-8 
 
 - -04 
 
 211*86 362*2 
 
 0-303 
 
 3 'oo 
 
 
 1985 
 
 0-2814 
 
 -OOO2 
 
 3432-2 
 
 - *2I 
 
 179*05 
 
 363-1 
 
 3-252 
 
 3-30 
 
 
 1986 
 
 i-35'5 
 
 - -0003 
 
 3797-4 
 
 - '34 
 
 146*24 
 
 363-9 
 
 2-675 
 
 0*05 
 
 
 1987 
 
 2-4227 
 
 - -oooi 
 
 4162-7 
 
 - *ii 
 
 113-42 
 
 364-7 
 
 2*099 
 
 o*35 
 
 
 *1988 
 
 3-4943 
 
 ... 
 
 196-1 
 
 oo 
 
 80-61 
 
 0*2 
 
 1*523 
 
 0-64 
 
 
 1989 
 
 O-OI2O 
 
 + 'OOOI 
 
 558-8 
 
 + *IO 
 
 44-25 
 
 362*7 
 
 0*917 
 
 0-94 
 
 
 199O 
 
 1-0841 
 
 + -OOO2 
 
 9 2 5'4 
 
 + *i8 
 
 ii-43 
 
 363-6 
 
 0*341 
 
 1-24 
 
 
 1991 
 
 2-1565 
 
 + -OOO2 
 
 1292-3 
 
 + -20 
 
 377-50 
 
 364-4 
 
 3*290 
 
 i-54 
 
 
 *1992 
 
 3-2288 
 
 + -oooi 
 
 1659-0 
 
 + *I7 
 
 344-69 
 
 365-2 
 
 2*713 
 
 i -8 4 
 
 
 1993 
 
 3-3009 
 
 + -oooi 
 
 2025-6 
 
 + '08 
 
 311*88 
 
 07 
 
 2-137 
 
 2-14 
 
 
 1994 
 
 0-8186 
 
 
 2388-2 
 
 - -3 
 
 275-51 
 
 363-3 
 
 1-532 
 
 2'44 
 
 
 1995 
 
 1-8900 
 
 - -oooi 
 
 2754-0 
 
 - -14 
 
 242*70 
 
 364-1 
 
 0-955 
 
 2-74 
 
 
 *1996 
 
 2-961 1 
 
 'OOO2 
 
 3119-4 
 
 - '20 
 
 209*89 
 
 364-9 
 
 0-379 
 
 3-04 
 
 
 1997 
 
 3-0322 
 
 - -OOO2 
 
 3484-6 
 
 - - 2O 
 
 177-08 
 
 0*4 
 
 3-327 
 
 3'34 
 
 
 1998 
 
 0-5492 
 
 - -oooi 
 
 3846-4 
 
 - -16 
 
 140*71 
 
 363*0 
 
 2-722 
 
 0-09 
 
 
 1999 
 
 1-6206 
 
 ... 
 
 4212*1 
 
 - '06 
 
 107*90 
 
 363*8 
 
 2-146 
 
 o'39 
 
 
 *2000 
 
 2-6923 
 
 
 245-6 
 
 *oo 
 
 75*09 
 
 364*6 
 
 1*569 
 
 0*69 
 
 
 Period 
 
 3'554i 
 
 ... 
 
 4332-6 
 
 
 398*88 
 
 365-3 
 
 3-525 
 
 3-55 
 
 
 
 
 
 
 
 
 I 
 
 
 
 66 
 
II 
 
 SATELLITE II 
 
 Approximate Tables of Conjunction 
 
 Motions of the Arguments 
 
 I 
 
 2 
 
 3 
 
 4 
 
 5 
 
 I 
 
 1 
 
 3 
 
 4 
 
 5 
 
 Syn.Rev. 
 
 Date 
 
 , ft, y 
 
 I 
 
 
 
 Syn. Rev. 
 
 Date 
 
 > ft y 
 
 8 
 
 e 
 
 1 
 
 d 
 
 January 3 '5 54-1 
 
 A 
 
 3-55 
 
 d 
 0-029 
 
 d 
 
 o-oo 
 
 53 
 
 d 
 
 July 7-3670 
 
 d 
 188-37 
 
 A 
 1-5I7 
 
 d 
 0-I 5 
 
 2 
 
 7-1082 
 
 7-11 
 
 0-057 
 
 O'OI 
 
 54 
 
 10-921 1 
 
 191-92 
 
 I-546 
 
 0-16 
 
 3 
 
 10-6623 
 
 10-66 
 
 0-086 
 
 o-oi 
 
 55 
 
 I4M752 
 
 195-48 
 
 '575 
 
 0-16 
 
 4 
 
 14-2164 
 
 14-22 
 
 0-II5 
 
 O'OI 
 
 56 
 
 18-0293 
 
 199-03 
 
 1-603 
 
 0-16 
 
 5 
 
 177705 
 
 17-77 
 
 0-143 
 
 o-oi 
 
 57 
 
 "'5*34 
 
 202-58 
 
 1-632 
 
 0-17 
 
 6 
 
 21-3246 
 
 21 -32 
 
 0-I72 
 
 O-02 
 
 58 
 
 *5->37S 
 
 206-14 
 
 1-661 
 
 0-17 
 
 7 
 
 24-8787 
 
 24-88 
 
 O'2OO 
 
 O'O2 
 
 59 
 
 28-6916 
 
 209-69 
 
 1-689 
 
 0-17 
 
 8 
 
 28-4328 
 
 28'43 
 
 0-229 
 
 O-O2 
 
 6O 
 
 August i -2457 
 
 213-25 
 
 1718 
 
 0-17 
 
 9 
 
 31-9868 
 
 3I-99 
 
 0-258 
 
 0-03 
 
 61 
 
 47997 
 
 216-80 
 
 1746 
 
 0-18 
 
 10 
 
 February 4' 5 409 
 
 35-54 
 
 0-286 
 
 0-03 
 
 62 
 
 8-3538 
 
 220-35 
 
 1775 
 
 0-18 
 
 11 
 
 8-0950 
 
 39-10 
 
 0'3'5 
 
 0-03 
 
 63 
 
 11-9079 
 
 "3-91 
 
 1-804 
 
 0-18 
 
 12 
 
 1 1 -649 1 
 
 42-65 
 
 0-344 
 
 0-03 
 
 64 
 
 15-4620 
 
 227-46 
 
 1-832 
 
 0-19 
 
 13 
 
 15-2032 
 
 46-20 
 
 0-372 
 
 0*04 
 
 65 
 
 19-0161 
 
 23r02 
 
 1-861 
 
 0-19 
 
 14 
 
 187573 
 
 49-76 
 
 0-401 
 
 0-04 
 
 66 
 
 22-5702 
 
 234-57 
 
 1-890 
 
 0-19 
 
 15 
 
 22-3114 
 
 53-3I 
 
 0-429 
 
 0-04 
 
 67 
 
 26-1243 
 
 238-I2 
 
 1-918 
 
 O'2O 
 
 16 
 
 25-8655 
 
 56-87 
 
 0-458 
 
 0-05 
 
 68 
 
 29-6784 
 
 241-68 
 
 ''947 
 
 O'2O 
 
 17 
 
 March 1-4196 
 
 60-42 
 
 0-487 
 
 0-05 
 
 69 
 
 September 2-2325 
 
 245-*3 
 
 1-976 
 
 O'20 
 
 18 
 
 4.9737 
 
 63-97 
 
 0-5I5 
 
 0-05 
 
 70 
 
 57866 
 
 24879 
 
 2-004 
 
 O-2O 
 
 19 
 
 8-5278 
 
 67-53 
 
 0-544 
 
 0-06 
 
 71 
 
 9'3407 
 
 *52-34 
 
 2-033 
 
 O'ZI 
 
 20 
 
 12-0819 
 
 7I-08 
 
 0-573 
 
 0-06 
 
 72 
 
 12-8948 
 
 255-89 
 
 2-061 
 
 0-21 
 
 21 
 
 15-6360 
 
 74-64 
 
 0-601 
 
 0-06 
 
 73 
 
 16-4489 
 
 259-45 
 
 2-090 
 
 O'2I 
 
 22 
 
 19-1901 
 
 7 8-I 9 
 
 0-630 
 
 0-06 
 
 74 
 
 20-0030 
 
 263-00 
 
 2-119 
 
 O-22 
 
 23 
 
 227442 
 
 8174 
 
 0-659 
 
 0-07 
 
 75 
 
 23-557I 
 
 266-56 
 
 2-147 
 
 0-22 
 
 24 
 
 26-2983 
 
 85-30 
 
 0-687 
 
 0-07 
 
 76 
 
 27-11 12 
 
 27O-II 
 
 2-176 
 
 O'22 
 
 25 
 
 29-8524 
 
 88-85 
 
 0-716 
 
 0-07 
 
 77 
 
 30-6653 
 
 273-67 
 
 2-205 
 
 0-22 
 
 26 
 
 April 2-4064 
 
 92-41 
 
 0-744 
 
 0-08 
 
 78 
 
 October 4-2193 
 
 277-22 
 
 2-233 
 
 0-23 
 
 27 
 
 5-9605 
 
 95-96 
 
 0773 
 
 0-08 
 
 79 
 
 77734 
 
 280-77 
 
 2-262 
 
 O-23 
 
 28 
 
 9-5146 
 
 99-51 
 
 0-802 
 
 0-08 
 
 80 
 
 11-3275 
 
 284-33 
 
 2-290 
 
 0-23 
 
 29 
 
 13-0687 
 
 1O3-O7 
 
 0-830 
 
 0-08 
 
 81 
 
 14-8816 
 
 287-88 
 
 2-319 
 
 0-24 
 
 30 
 
 16-6228 
 
 IO6-62 
 
 0-859 
 
 0-09 
 
 82 
 
 '8-4357 
 
 291-44 
 
 2-348 
 
 0*24 
 
 31 
 
 20-1769 
 
 110-18 
 
 0-888 
 
 0-09 
 
 83 
 
 21-9898 
 
 294-99 
 
 2-376 
 
 0-24 
 
 32 
 
 23-7310 
 
 "373 
 
 0-916 
 
 0-09 
 
 84 
 
 2 S-5439 
 
 298-54 
 
 2-405 
 
 0*24 
 
 33 
 
 27-2851 
 
 117-29 
 
 0-945 
 
 O'lO 
 
 85 
 
 29-0980 
 
 3O2-IO 
 
 2-434 
 
 0-25 
 
 34 
 
 30-8392 
 
 120-84 
 
 0-973 
 
 O'lO 
 
 86 
 
 November 1-6521 
 
 305-65 
 
 2-462 
 
 0-25 
 
 35 
 
 May 4-3933 
 
 124-39 
 
 i -002 
 
 O'lO 
 
 87 
 
 5-2062 
 
 309-21 
 
 2-491 
 
 0-25 
 
 36 
 
 7-9474 
 
 127-95 
 
 031 
 
 O'lO 
 
 88 
 
 8-7603 
 
 3I2-76 
 
 2-519 
 
 0-26 
 
 37 
 
 11-5015 
 
 131-50 
 
 059 
 
 O'll 
 
 89 
 
 12-3144 
 
 316-31 
 
 2-548 
 
 0-26 
 
 38 
 
 15-0556 
 
 135-06 
 
 088 
 
 O'll 
 
 9O 
 
 15-8685 
 
 3'9'87 
 
 2-577 
 
 0-26 
 
 39 
 
 18-6097 
 
 138-61 
 
 117 
 
 O'll 
 
 91 
 
 19-4226 
 
 323-42 
 
 2-605 
 
 0-27 
 
 40 
 
 22-1638 
 
 142-16 
 
 H5 
 
 O'I2 
 
 92 
 
 22-9767 
 
 326-98 
 
 2-634 
 
 0-27 
 
 41 
 
 257179 
 
 145-72 
 
 '74 
 
 O-I2 
 
 93 
 
 26-5308 
 
 330-53 
 
 2-663 
 
 0-27 
 
 42 
 
 29-2720 
 
 149-27 
 
 202 
 
 O'12 
 
 94 
 
 30-0849 
 
 334-o8 
 
 2-691 
 
 0-27 
 
 43 
 
 June 1-8260 
 
 152-83 
 
 231 
 
 0-13 
 
 95 
 
 December 3-6389 
 
 337^4 
 
 2-720 
 
 0-28 
 
 44 
 
 5-3801 
 
 156-38 
 
 260 
 
 0-13 
 
 96 
 
 7-1930 
 
 34' -I 9 
 
 2-749 
 
 0-28 
 
 45 
 
 8-9342 
 
 IS9-93 
 
 z88 
 
 O-I3 
 
 97 
 
 10-7471 
 
 34475 
 
 2777 
 
 0-28 
 
 46 
 
 12-4883 
 
 163-49 
 
 317 
 
 0-13 
 
 98 
 
 14-3012 
 
 348-3 
 
 2-806 
 
 0-29 
 
 47 
 
 16-0424 
 
 167-04 
 
 346 
 
 0-14 
 
 99 
 
 I7-8553 
 
 351-86 
 
 2-834 
 
 0-29 
 
 48 
 
 19-5965 
 
 170-60 
 
 "374 
 
 0-14 
 
 100 
 
 2 I -4094 
 
 355-4I 
 
 2-863 
 
 0-29 
 
 49 
 
 23-1506 
 
 I74-J5 
 
 403 
 
 0-14 
 
 1O1 
 
 24-9635 
 
 358-96 
 
 2-892 
 
 0-29 
 
 50 
 
 26-7047 
 
 177-70 
 
 432 
 
 0-I S 
 
 1O2 
 
 28-5176 
 
 362-52 
 
 2-920 
 
 0-30 
 
 51 
 
 30-2588 
 
 181-26 
 
 460 
 
 0-15 
 
 1O3 
 
 32-0717 
 
 366-07 
 
 2-949 
 
 0-30 
 
 52 
 
 July 3*8129 
 
 184-81 
 
 489 
 
 0-I 5 
 
 
 
 
 
 
 In Leap Year, diminish the date in Column 2 by i 
 
 67 
 
 after Feb. 28. 
 
Ill 
 
 SATELLITE II 
 
 Approximate Tables of Conjunction 
 
 Equation of Conjunction Argument a EC., Oc., Sh., Tr. 
 
 I 
 
 1 
 
 3 
 
 i 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 a 
 
 Equation 
 
 A 
 IQd 
 
 a 
 
 Equation 
 
 A 
 IQd 
 
 a 
 
 Equation 
 
 A 
 I0 d 
 
 a 
 
 Equation 
 
 A 
 ItfJ 
 
 a 
 
 Equation 
 
 A 
 IQd 
 
 d 
 
 d 
 
 
 d 
 
 d 
 
 
 d 
 
 d 
 
 
 d 
 
 d 
 
 
 d 
 
 d 
 
 
 o 
 
 0-0800 
 
 + 8,5 
 
 1OOO 
 
 0-1346 
 
 + o,3 
 
 2OOO 
 
 0-0923 
 
 -7,3 
 
 3000 
 
 0-0301 
 
 -3,o 
 
 4000 
 
 0-0533 
 
 + 7,3 
 
 20 
 
 817 
 
 8,5 
 
 1O2O 
 
 1346 
 
 + 0,3 
 
 2020 
 
 908 
 
 7,5 
 
 3O2O 
 
 295 
 
 3,o 
 
 4O2O 
 
 548 
 
 7,5 
 
 40 
 
 834 
 
 8,3 
 
 1040 
 
 1347 
 
 0,0 
 
 2O4O 
 
 893 
 
 7,3 
 
 3040 
 
 289 
 
 3,o 
 
 4040 
 
 >63 
 
 7,5 
 
 6O 
 
 850 
 
 8,3 
 
 1O6O 
 
 1346 
 
 -0,3 
 
 2O60 
 
 879 
 
 7,3 
 
 3060 
 
 283 
 
 2,8 
 
 4O6O 
 
 578 
 
 7,8 
 
 80 
 
 867 
 
 8,5 
 
 1O8O 
 
 1346 
 
 o,3 
 
 208O 
 
 864 
 
 7,5 
 
 308O 
 
 278 
 
 2,3 
 
 4080 
 
 594 
 
 7,8 
 
 100 
 
 884 
 
 8,3 
 
 1100 
 
 "345 
 
 0,8 
 
 2100 
 
 849 
 
 7,5 
 
 31 OO 
 
 274 
 
 2,0 
 
 4100 
 
 609 
 
 7,8 
 
 12O 
 
 0-0900 
 
 + 8,3 
 
 11 20 
 
 0-1343 
 
 - , 
 
 21 2O 
 
 0-0834 
 
 -7,3 
 
 3120 
 
 0-0270 
 
 -2,0 
 
 41 2O 
 
 0-0625 
 
 + 8,0 
 
 140 
 
 917 
 
 8,3 
 
 1140 
 
 1341 
 
 ,o 
 
 2140 
 
 820 
 
 7,3 
 
 31 4O 
 
 266 
 
 1,8 
 
 4140 
 
 641 
 
 8,0 
 
 16O 
 
 933 
 
 8,0 
 
 1160 
 
 '339 
 
 ,3 
 
 21 6O 
 
 805 
 
 7,5 
 
 3160 
 
 263 
 
 i,5 
 
 41 6O 
 
 657 
 
 8,0 
 
 ISO 
 
 949 
 
 8,0 
 
 1180 
 
 1336 
 
 ,5 
 
 2180 
 
 790 
 
 7,5 
 
 3180 
 
 260 
 
 i,3 
 
 4180 
 
 673 
 
 8,3 
 
 200 
 
 965 
 
 8,0 
 
 12OO 
 
 1333 
 
 ,8 
 
 2200 
 
 775 
 
 7,5 
 
 32OO 
 
 258 
 
 1,0 
 
 4200 
 
 690 
 
 8,3 
 
 22O 
 
 0-0981 
 
 + 8,0 
 
 122O 
 
 0-1329 
 
 -2,0 
 
 222O 
 
 0-0760 
 
 -7,5 
 
 3220 
 
 0-0256 
 
 -0,8 
 
 422O 
 
 0-0706 
 
 + 8,3 
 
 240 
 
 997 
 
 7,8 
 
 1240 
 
 1325 
 
 M 
 
 2240 
 
 745 
 
 7,5 
 
 3240 
 
 255 
 
 o,5 
 
 424O 
 
 723 
 
 8,3 
 
 26O 
 
 1012 
 
 7,5 
 
 1260 
 
 1320 
 
 2,5 
 
 226O 
 
 730 
 
 7,3 
 
 326O 
 
 254 
 
 o,5 
 
 426O 
 
 739 
 
 8,3 
 
 280 
 
 IO27 
 
 7,5 
 
 1280 
 
 1315 
 
 2,8 
 
 2280 
 
 716 
 
 7,3 
 
 3280 
 
 253 
 
 -o,3 
 
 428O 
 
 756 
 
 8,5 
 
 300 
 
 IO42 
 
 7,5 
 
 13OO 
 
 1309 
 
 3,o 
 
 2300 
 
 701 
 
 7,5 
 
 33OO 
 
 253 
 
 + 0,3 
 
 4300 
 
 773 
 
 8,3 
 
 32O 
 
 0-1057 
 
 + 7,5 
 
 132O 
 
 0-1303 
 
 -3, 
 
 232O 
 
 0-0686 
 
 -7,3 
 
 3320 
 
 0-0254 
 
 + o,5 
 
 432O 
 
 0-0789 
 
 + 8,3 
 
 340 
 
 1072 
 
 7,3 
 
 134O 
 
 1297 
 
 3,3 
 
 2340 
 
 672 
 
 7,o 
 
 334O 
 
 255 
 
 o,5 
 
 4340 
 
 806 
 
 8,5 
 
 36O 
 
 1086 
 
 7.o 
 
 1360 
 
 1290 
 
 3,5 
 
 2360 
 
 658 
 
 7,3 
 
 336O 
 
 256 
 
 0,8 
 
 4360 
 
 823 
 
 8,5 
 
 380 
 
 IIOO 
 
 7,o 
 
 138O 
 
 1283 
 
 3,5 
 
 238O 
 
 643 
 
 7,3 
 
 3380 
 
 258 
 
 1,0 
 
 438O 
 
 840 
 
 8,3 
 
 400 
 
 1114 
 
 7,o 
 
 140O 
 
 1276 
 
 3,8 
 
 2400 
 
 629 
 
 7,o 
 
 3400 
 
 260 
 
 ',3 
 
 440O 
 
 856 
 
 8,3 
 
 42O 
 
 0-1128 
 
 + 6,8 
 
 1420 
 
 0-1268 
 
 -4,o 
 
 2420 
 
 0-0615 
 
 -7,o 
 
 3420 
 
 0-0263 
 
 + i,5 
 
 442O 
 
 0-0873 
 
 + 8,5 
 
 440 
 
 1141 
 
 6,5 
 
 144O 
 
 1260 
 
 4,3 
 
 244O 
 
 60 1 
 
 7,o 
 
 344O 
 
 266 
 
 1,8 
 
 444O 
 
 890 
 
 8,3 
 
 46O 
 
 1154 
 
 6,3 
 
 146O 
 
 1251 
 
 4,5 
 
 2460 
 
 587 
 
 7,o 
 
 3460 
 
 270 
 
 2,0 
 
 446O 
 
 906 
 
 8,3 
 
 480 
 
 1166 
 
 6,0 
 
 148O 
 
 1242 
 
 4,5 
 
 2480 
 
 573 
 
 6,8 
 
 348O 
 
 274 
 
 2,3 
 
 448O 
 
 923 
 
 8,3 
 
 5OO 
 
 1178 
 
 6,0 
 
 1500 
 
 "33 
 
 4,5 
 
 2500 
 
 560 
 
 6,8 
 
 350O 
 
 279 
 
 2,5 
 
 4500 
 
 939 
 
 8,0 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 52O 
 
 0-1190 
 
 + 5,8 
 
 152O 
 
 0-1224 
 
 -4,8 
 
 252O 
 
 0-0546 
 
 -6,8 
 
 352O 
 
 0-0284 
 
 + 2,8 
 
 452O 
 
 o'955 
 
 + 8,0 
 
 540 
 
 I2OI 
 
 5,5 
 
 1540 
 
 1214 
 
 5,o 
 
 2540 
 
 533 
 
 6,5 
 
 354O 
 
 290 
 
 3,0 
 
 4540 
 
 97' 
 
 8,0 
 
 56O 
 
 1212 
 
 5,5 
 
 156O 
 
 1204 
 
 5, 
 
 256O 
 
 520 
 
 6,5 
 
 356O 
 
 296 
 
 3,o 
 
 456O 
 
 987 
 
 7,8 
 
 680 
 
 1223 
 
 5,5 
 
 158O 
 
 1194 
 
 5,3 
 
 2580 
 
 507 
 
 6,3 
 
 3580 
 
 302 
 
 3,3 
 
 4580 
 
 1 002 
 
 7,8 
 
 600 
 
 i*33 
 
 5,o 
 
 160O 
 
 1183 
 
 5,5 
 
 2600 
 
 495 
 
 6,3 
 
 360O 
 
 309 
 
 3,8 
 
 4600 
 
 1018 
 
 7,8 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 62O 
 
 0-1243 
 
 + 5,o 
 
 162O 
 
 0-1172 
 
 -5,5 
 
 262O 
 
 0-0482 
 
 -6,3 
 
 3620 
 
 0-0317 
 
 + 4,o 
 
 462O 
 
 0-1033 
 
 + 7,5 
 
 640 
 
 1253 
 
 4,8 
 
 1640 
 
 1161 
 
 5,8 
 
 2640 
 
 470 
 
 6,0 
 
 3640 
 
 325 
 
 4,o 
 
 464O 
 
 1048 
 
 7,5 
 
 66O 
 
 1263 
 
 4,3 
 
 166O 
 
 1149 
 
 6,0 
 
 266O 
 
 458 
 
 6,0 
 
 366O 
 
 333 
 
 4,3 
 
 466O 
 
 1063 
 
 7,3 
 
 680 
 
 1270 
 
 4, 
 
 1680 
 
 "37 
 
 6,0 
 
 2680 
 
 446 
 
 5,8 
 
 3680 
 
 342 
 
 4,5 
 
 4680 
 
 1077 
 
 7,3 
 
 7OO 
 
 1278 
 
 4, 
 
 17OO 
 
 1125 
 
 6,0 
 
 27OO 
 
 435 
 
 5,5 
 
 37OO 
 
 351 
 
 4,5 
 
 47OO 
 
 1092 
 
 7,3 
 
 72O 
 
 0-1286 
 
 + 3,8 
 
 1720 
 
 0-1113 
 
 -6,0 
 
 272O 
 
 0-0424 
 
 -5,5 
 
 372O 
 
 0-0360 
 
 + 4-8 
 
 47 2O 
 
 o-i 106 
 
 + 6,8 
 
 740 
 
 1293 
 
 3,5 
 
 1740 
 
 I IOI 
 
 6,3 
 
 2740 
 
 4'3 
 
 5,5 
 
 374O 
 
 370 
 
 5,3 
 
 4740 
 
 ii 19 
 
 6,8 
 
 76O 
 
 1300 
 
 3,3 
 
 176O 
 
 1088 
 
 6,5 
 
 276O 
 
 402 
 
 5,3 
 
 3760 
 
 381 
 
 5,5 
 
 47 6O 
 
 H33 
 
 6,3 
 
 780 
 
 1306 
 
 3,o 
 
 1780 
 
 1075 
 
 6,5 
 
 278O 
 
 392 
 
 5,o 
 
 378O 
 
 392 
 
 5,5 
 
 478O 
 
 1146 
 
 6,3 
 
 800 
 
 1312 
 
 3, 
 
 18OO 
 
 1062 
 
 6,5 
 
 28OO 
 
 382 
 
 5,o 
 
 380O 
 
 403 
 
 5,5 
 
 480O 
 
 1158 
 
 6,3 
 
 820 
 
 0-1318 
 
 + 2,8 
 
 1820 
 
 0-1049 
 
 -6,8 
 
 282O 
 
 0-0372 
 
 -4,8 
 
 3820 
 
 0-0414 
 
 + 5,8 
 
 482O 
 
 0-1171 
 
 + 6,3 
 
 840 
 
 1323 
 
 2,3 
 
 184O 
 
 1035 
 
 6,8 
 
 284O 
 
 363 
 
 4,5 
 
 3840 
 
 426 
 
 6,0 
 
 4840 
 
 1183 
 
 5,8 
 
 86O 
 
 1327 
 
 2,0 
 
 186O 
 
 I02Z 
 
 6,8 
 
 2860 
 
 354 
 
 4,5 
 
 3860 
 
 438 
 
 6,3 
 
 486O 
 
 1194 
 
 5,5 
 
 880 
 
 33i 
 
 2,0 
 
 1880 
 
 1OO8 
 
 7,o 
 
 288O 
 
 345 
 
 4,3 
 
 3880 
 
 45' 
 
 6,5 
 
 488O 
 
 1205 
 
 5,5 
 
 9OO 
 
 '335 
 
 1,8 
 
 190O 
 
 994 
 
 7,o 
 
 290O 
 
 337 
 
 4,o 
 
 39OO 
 
 464 
 
 6,5 
 
 4900 
 
 1216 
 
 5,5 
 
 92O 
 
 0^1338 
 
 + 1,5 
 
 192O 
 
 0-0980 
 
 -7,o 
 
 292O 
 
 0-0329 
 
 -4,0 
 
 392O 
 
 0-0477 
 
 + 6,8 
 
 4920 
 
 0-1227 
 
 + 5,3 
 
 940 
 
 '34' 
 
 i,3 
 
 194O 
 
 966 
 
 7,o 
 
 2940 
 
 321 
 
 3,8 
 
 394O 
 
 491 
 
 7,o 
 
 494O 
 
 '237 
 
 5,o 
 
 960 
 
 1343 
 
 1,0 
 
 196O 
 
 952 
 
 7,3 
 
 2960 
 
 3H 
 
 3,5 
 
 396O 
 
 55 
 
 7,o 
 
 496O 
 
 1247 
 
 4,8 
 
 980 
 
 '345 
 
 0,8 
 
 1980 
 
 937 
 
 7,3 
 
 298O 
 
 37 
 
 3,3 
 
 3980 
 
 5'9 
 
 7,o 
 
 4980 
 
 1256 
 
 4,5 
 
 1000 
 
 0-1346 
 
 + 0,3 
 
 20OO 
 
 0-0923 
 
 -7,3 
 
 3OOO 
 
 0-0301 
 
 -3,o 
 
 4000 
 
 0-0533 
 
 + 7,3 
 
 5OOO 
 
 0-1266 
 
 + 4,5 
 
 Added Constant: +o a -o8oo. 
 
 The Equation of this Table to be applied to the entries in Columns 2, 8, 9 of Table I. 
 
 68 
 
IV 
 
 SATELLITE II 
 
 Approximate Tables of Conjunction 
 
 Equation of Geocentric Conjunction Argument / 
 
 Oc., Tr. 
 
 I 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 ft 
 
 Equation 
 
 A 
 I" 
 
 ft 
 
 Equation 
 
 A 
 I<i 
 
 ft 
 
 Equation 
 
 A 
 
 I<J 
 
 ft 
 
 Equation 
 
 A 
 
 I<J 
 
 a 
 
 d 
 
 
 d 
 
 d 
 
 
 d 
 
 d 
 
 
 d 
 
 d 
 
 
 o 
 
 - 0-0300 
 
 - 21,0 
 
 100 
 
 -0-1373 
 
 + 3,3 
 
 200 
 
 - 0-0292 
 
 + '4,5 
 
 3OO 
 
 + 0-0776 
 
 + 3,0 
 
 2 
 
 342 
 
 21,3 
 
 102 
 
 1366 
 
 3,5 
 
 202 
 
 263 
 
 '4,3 
 
 3O2 
 
 782 
 
 2,5 
 
 4 
 
 385 
 
 21,3 
 
 104 
 
 '359 
 
 4,o 
 
 204 
 
 235 
 
 '4,3 
 
 3O4 
 
 786 
 
 1,8 
 
 6 
 
 427 
 
 21,0 
 
 106 
 
 '35 
 
 4,5 
 
 206 
 
 206 
 
 '4,5 
 
 3O6 
 
 789 
 
 ',3 
 
 8 
 
 469 
 
 20,8 
 
 108 
 
 '34' 
 
 5,o 
 
 2O8 
 
 177 
 
 '4,3 
 
 3O8 
 
 791 
 
 0,8 
 
 10 
 
 510 
 
 20,8 
 
 110 
 
 '33 
 
 5,5 
 
 21 
 
 149 
 
 '4,3 
 
 31 
 
 792 
 
 + 0,3 
 
 12 
 
 -0-0552 
 
 - 20,8 
 
 112 
 
 -0-1319 
 
 + 5,8 
 
 212 
 
 -O-OI2O 
 
 + '4,5 
 
 312 
 
 + 0-0792 
 
 - 0,3 
 
 14 
 
 593 
 
 20,3 
 
 114 
 
 1307 
 
 6,3 
 
 214 
 
 9' 
 
 '4,3 
 
 314 
 
 791 
 
 0,8 
 
 16 
 
 633 
 
 19,8 
 
 116 
 
 1294 
 
 6,8 
 
 216 
 
 63 
 
 14,0 
 
 316 
 
 789 
 
 ',3 
 
 18 
 
 672 
 
 '9,5 
 
 118 
 
 1280 
 
 7,o 
 
 218 
 
 35 
 
 14,0 
 
 318 
 
 786 
 
 1,1 
 
 20 
 
 711 
 
 '9.5 
 
 12O 
 
 1266 
 
 7,3 
 
 220 
 
 - 0-0007 
 
 14,0 
 
 320 
 
 782 
 
 2,5 
 
 22 
 
 - 0*0750 
 
 - 19,0 
 
 122 
 
 -0-1251 
 
 + 7,8 
 
 222 
 
 + O-OO2I 
 
 + '3,8 
 
 322 
 
 + 0-0776 
 
 3,3 
 
 24 
 
 787 
 
 18,5 
 
 124 
 
 '235 
 
 8,0 
 
 224 
 
 48 
 
 13,8 
 
 324 
 
 769 
 
 3,5 
 
 26 
 
 824 
 
 8,3 
 
 126 
 
 1219 
 
 8,5 
 
 226 
 
 -6 
 
 13,8 
 
 326 
 
 762 
 
 4,o 
 
 28 
 
 860 
 
 '7,8 
 
 128 
 
 I2OI 
 
 9, 
 
 228 
 
 103 
 
 '3,5 
 
 328 
 
 753 
 
 5,o 
 
 SO 
 
 895 
 
 '7,3 
 
 13O 
 
 1183 
 
 9-o 
 
 23O 
 
 130 
 
 '3,5 
 
 330 
 
 742 
 
 5,5 
 
 32 
 
 -0-0929 
 
 - '6,5 
 
 132 
 
 -o-i 165 
 
 + 9>3 
 
 232 
 
 + 0-0157 
 
 + 13,5 
 
 332 
 
 + 0-0731 
 
 - 6,0 
 
 34 
 
 961 
 
 1 6,0 
 
 134 
 
 1146 
 
 9,8 
 
 234 
 
 184 
 
 '3,3 
 
 334 
 
 718 
 
 6,8 
 
 36 
 
 993 
 
 '5,8 
 
 136 
 
 I 126 
 
 10,3 
 
 236 
 
 210 
 
 '3,o 
 
 336 
 
 704 
 
 7,3 
 
 38 
 
 1024 
 
 15,0 
 
 138 
 
 I IO5 
 
 10,5 
 
 238 
 
 236 
 
 13-0 
 
 338 
 
 689 
 
 8,0 
 
 40 
 
 IOS3 
 
 '4,5 
 
 140 
 
 1084 
 
 io,S 
 
 24O 
 
 262 
 
 12,8 
 
 340 
 
 672 
 
 8,8 
 
 42 
 
 - 0-1082 
 
 - H, 
 
 142 
 
 - O-IO63 
 
 + 10,8 
 
 242 
 
 + 0-0287 
 
 + 12,5 
 
 342 
 
 + 0-0654 
 
 9,3 
 
 44 
 
 1 109 
 
 i3,3 
 
 144 
 
 1041 
 
 ii,3 
 
 244 
 
 312 
 
 '2,5 
 
 344 
 
 635 
 
 9,8 
 
 46 
 
 "135 
 
 12,8 
 
 146 
 
 1018 
 
 'i,5 
 
 246 
 
 337 
 
 '2,3 
 
 346 
 
 615 
 
 i,5 
 
 48 
 
 1 1 60 
 
 12,0 
 
 148 
 
 995 
 
 11,8 
 
 248 
 
 361 
 
 11,8 
 
 348 
 
 593 
 
 ", 3 
 
 SO 
 
 1 183 
 
 ", 3 
 
 150 
 
 971 
 
 1 2,0 
 
 250 
 
 384 
 
 11,8 
 
 35O 
 
 570 
 
 11,8 
 
 52 
 
 -0-1205 
 
 - 10,8 
 
 152 
 
 - 0-0947 
 
 + 12,0 
 
 252 
 
 + 0-0408 
 
 + n,8 
 
 352 
 
 + 0-0546 
 
 - i*,3 
 
 54 
 
 1226 
 
 i,3 
 
 154 
 
 9 Z 3 
 
 12,3 
 
 254 
 
 43' 
 
 ", 3 
 
 354 
 
 521 
 
 13,0 
 
 56 
 
 1246 
 
 9,5 
 
 156 
 
 898 
 
 '2,5 
 
 256 
 
 453 
 
 11,0 
 
 356 
 
 494 
 
 '3,8 
 
 58 
 
 1264 
 
 9- 
 
 158 
 
 873 
 
 12,8 
 
 258 
 
 475 
 
 10,8 
 
 358 
 
 466 
 
 H,3 
 
 6O 
 
 1282 
 
 8,3 
 
 160 
 
 8 47 
 
 13,0 
 
 26O 
 
 49 6 
 
 io,5 
 
 36O 
 
 437 
 
 14,8 
 
 62 
 
 - 0-1297 
 
 7,5 
 
 162 
 
 -0-0821 
 
 + 13,0 
 
 262 
 
 + 0-0517 
 
 + '0,3 
 
 362 
 
 + 0-0407 
 
 - '5,3 
 
 64 
 
 1312 
 
 7,o 
 
 164 
 
 795 
 
 13,0 
 
 264 
 
 537 
 
 9,8 
 
 364 
 
 376 
 
 16,0 
 
 66 
 
 1325 
 
 6,3 
 
 166 
 
 769 
 
 '3,3 
 
 266 
 
 556 
 
 9,5 
 
 366 
 
 343 
 
 '6,5 
 
 68 
 
 '337 
 
 5,8 
 
 168 
 
 742 
 
 '3,5 
 
 268 
 
 575 
 
 9,3 
 
 368 
 
 310 
 
 17,0 
 
 7O 
 
 1348 
 
 5,3 
 
 170 
 
 7'5 
 
 '3,8 
 
 270 
 
 593 
 
 9, 
 
 37O 
 
 *75 
 
 '7,5 
 
 72 
 
 -0-1358 
 
 - 4,5 
 
 172 
 
 -0-0687 
 
 + '3,8 
 
 272 
 
 + 0-06 1 1 
 
 + 8,8 
 
 372 
 
 + 0-0240 
 
 - 17,8 
 
 74 
 
 1366 
 
 3,8 
 
 174 
 
 660 
 
 '3,5 
 
 274 
 
 628 
 
 8,3 
 
 374 
 
 204 
 
 i8,3 
 
 76 
 
 373 
 
 3,3 
 
 176 
 
 633 
 
 13,8 
 
 276 
 
 644 
 
 8,0 
 
 376 
 
 167 
 
 1 8,8 
 
 78 
 
 '379 
 
 2,8 
 
 178 
 
 605 
 
 14,0 
 
 278 
 
 660 
 
 7,5 
 
 378 
 
 129 
 
 19,3 
 
 8O 
 
 '384 
 
 2,3 
 
 18O 
 
 577 
 
 14-0 
 
 280 
 
 674 
 
 7,o 
 
 380 
 
 9 
 
 19,8 
 
 82 
 
 -0-1388 
 
 - 1,8 
 
 182 
 
 -0-0549 
 
 + '4,o 
 
 282 
 
 + 0-0688 
 
 + 7,o 
 
 382 
 
 + 0-0050 
 
 - 20,0 
 
 84 
 
 '39' 
 
 1,0 
 
 184 
 
 521 
 
 14,0 
 
 284 
 
 702 
 
 6,5 
 
 384 
 
 + 0-0010 
 
 20,3 
 
 86 
 
 1392 
 
 - 0,5 
 
 186 
 
 493 
 
 '4,3 
 
 286 
 
 7'4 
 
 5,8 
 
 386 
 
 - 0-0031 
 
 20,5 
 
 88 
 
 '393 
 
 0,0 
 
 188 
 
 464 
 
 '4,3 
 
 288 
 
 725 
 
 5,5 
 
 388 
 
 72 
 
 20,8 
 
 9O 
 
 1392 
 
 + 0,8 
 
 190 
 
 436 
 
 '4,3 
 
 290 
 
 736 
 
 5,3 
 
 39O 
 
 "3 
 
 21,0 
 
 92 
 
 -0-1390 
 
 + ',3 
 
 192 
 
 - 0-0407 
 
 + '4,5 
 
 292 
 
 + 0-0746 
 
 + 4,8 
 
 392 
 
 -0-0155 
 
 - 21,0 
 
 94 
 
 '387 
 
 ',5 
 
 194 
 
 378 
 
 '4,5 
 
 294 
 
 755 
 
 4,3 
 
 394 
 
 197 
 
 21,0 
 
 96 
 
 '384 
 
 2,0 
 
 196 
 
 349 
 
 '4,3 
 
 296 
 
 763 
 
 3,8 
 
 396 
 
 239 
 
 21,0 
 
 98 
 
 1379 
 
 2,8 
 
 198 
 
 321 
 
 '4,3 
 
 298 
 
 77 
 
 3,3 
 
 398 
 
 281 
 
 21,0 
 
 100 
 
 -0-1373 
 
 + 3,3 
 
 20O 
 
 -0-0292 
 
 + '4,5 
 
 3OO 
 
 + 0-0776 
 
 + 3,o 
 
 400 
 
 -0-0323 
 
 - 21,0 
 
 Applied Constant : - o d 'o3oo. The Equation of Table IV, corrected by those of Tables V, VI, gives the Annual Parallax, p, which must be applied for 
 
 Occultations and Transits to the entries of the Columns 2, 8, 9. of Table I, and also serves as argument of Table 1XVI for computing the effect of Jupiter's phase. 
 
 69 
 
V 
 
 SATELLITE II 
 
 Approximate Tables of Conjunction 
 
 Equation of Geocentric Conjunction Arguments a, /3 
 
 Oc, Tr. 
 
 \0 
 
 O d 1O d 2O d 
 
 30 40 5O 
 
 60" 7O d 8O d 
 
 9O d 1OO d 11O d 
 
 12O d 13O d 14O d 
 
 1 5O d 1 60 d 1 7O d 
 
 180 190 200 
 
 a \ 
 
 
 
 
 
 
 
 
 d 
 
 
 
 
 
 
 
 
 
 
 200 1 88 176 
 
 166 157 150 
 
 145 142 141 
 
 143 146 150 
 
 155 161 168 
 
 174 1 80 185 
 
 190 195 200 
 
 
 
 
 
 
 
 
 
 1OO 
 
 218 206 193 
 
 181 170 161 
 
 153 148 144 
 
 143 143 146 
 
 149 153 158 
 
 163 169 174 
 
 178 183 188 
 
 2OO 
 
 236 223 210 
 
 197 184 173 
 
 163 155 148 
 
 144 142 142 
 
 144 146 150 
 
 154 158 162 
 
 167 171 176 
 
 300 
 
 252 240 227 
 
 213 199 185 
 
 173 162 154 
 
 147 142 140 
 
 139 140 142 
 
 145 148 152 
 
 156 160 165 
 
 400 
 
 268 256 24.3 
 
 229 213 198 
 
 184 171 160 
 
 151 144 139 
 
 136 135 136 
 
 137 140 143 
 
 146 150 154 
 
 5OO 
 
 282 272 259 
 
 244 228 211 
 
 195 1 80 167 
 
 155 146 139 
 
 '34 i3 'Si 
 
 131 '33 '35 
 
 137 140 144 
 
 600 
 
 295 286 273 
 
 258 241 224 
 
 206 190 174 
 
 161 150 141 
 
 134 130 127 
 
 126 126 128 
 
 130 132 135 
 
 7OO 
 
 306 297 285 
 
 271 254 236 
 
 218 200 183 
 
 167 154 143 
 
 135 129 125 
 
 123 122 123 
 
 124 126 128 
 
 800 
 
 314. 307 296 
 
 282 266 248 
 
 228 209 191 
 
 175 160 147 
 
 138 130 125 
 
 121 I2O 119 
 
 119 121 122 
 
 900 
 
 320 315 305 
 
 292 276 258 
 
 239 219 200 
 
 182 166 153 
 
 141 132 126 
 
 121 119 117 
 
 117 117 118 
 
 1OOO 
 
 323 320 312 
 
 310 285 267 
 
 248 228 209 
 
 190 173 159 
 
 146 136 129 
 
 123 119 117 
 
 1 16 115 1 16 
 
 1100 
 
 324 322 316 
 
 305 292 275 
 
 256 237 217 
 
 199 181 165 
 
 15* H' '33 
 
 126 122 119 
 
 117 1 16 115 
 
 12OO 
 
 323 323 3i8 
 
 309 297 281 
 
 263 245 226 
 
 207 189 173 
 
 >59 '4 8 139 
 
 131 125 122 
 
 1 19 117 no 
 
 13OO 
 
 318 320 317 
 
 310 299 286 
 
 269 252 233 
 
 215 198 181 
 
 167 155 145 
 
 138 131 127 
 
 124 121 119 
 
 1400 
 
 311 315 314 
 
 309 300 288 
 
 274 257 240 
 
 223 206 190 
 
 176 164 154 
 
 '45 '38 133 
 
 129 126 124 
 
 1500 
 
 302 307 308 
 
 306 299 289 
 
 277 262 246 
 
 230 214 199 
 
 185 173 162 
 
 154 147 141 
 
 137 133 130 
 
 1600 
 
 291 298 301 
 
 300 296 288 
 
 278 265 252 
 
 237 222 2O8 
 
 194 183 172 
 
 163 156 150 
 
 145 141 138 
 
 17OO 
 
 278 286 291 
 
 292 290 285 
 
 277 267 256 
 
 243 230 217 
 
 204 193 183 
 
 174 1 66 1 60 
 
 155 151 147 
 
 18OO 
 
 263 272 279 
 
 283 283 281 
 
 276 268 259 
 
 248 237 225 
 
 214 203 194 
 
 185 177 171 
 
 166 161 157 
 
 19OO 
 
 247 257 266 
 
 271 274 274 
 
 272 267 260 
 
 252 243 233 
 
 223 213 204 
 
 196 189 183 
 
 177 172 168 
 
 2OOO 
 
 230 241 251 
 
 258 264 266 
 
 267 265 261 
 
 255 248 240 
 
 231 223 215 
 
 208 2OI 195 
 
 189 184 179 
 
 21 OO 
 
 212 224 235 
 
 244 252 257 
 
 260 261 260 
 
 257 252 2 4 6 
 
 240 233 226 
 
 219 212 2O7 
 
 202 196 191 
 
 22OO 
 
 194 206 218 
 
 229 239 246 
 
 252 256 258 
 
 257 255 252 
 
 247 242 236 
 
 230 224 219 
 
 214 209 204 
 
 2300 
 
 176 188 201 
 
 213 225 235 
 
 244 250 254 
 
 257 257 256 
 
 253 249 245 
 
 240 235 230 
 
 226 221 210 
 
 24OO 
 
 159 171 184 
 
 198 211 223 
 
 234 243 250 
 
 255 258 259 
 
 258 256 253 
 
 249 245 241 
 
 237 232 228 
 
 2500 
 
 142 154 167 
 
 182 196 2IO 
 
 223 235 245 
 
 252 257 26l 
 
 262 262 260 
 
 258 255 251 
 
 247 243 239 
 
 260O 
 
 127 138 151 
 
 166 182 197 
 
 212 226 238 
 
 248 256 26l 
 
 265 266 266 
 
 265 263 260 
 
 257 253 250 
 
 27OO 
 
 113 123 136 
 
 151 168 184 
 
 201 217 231 
 
 243 253 26l 
 
 266 269 271 
 
 271 27O 268 
 
 265 262 259 
 
 2800 
 
 ioi no 123 
 
 138 154 172 
 
 190 207 223 
 
 237 249 259 
 
 266 271 274 
 
 275 2 75 z?4 
 
 272 270 267 
 
 29OO 
 
 91 99 in 
 
 125 142 160 
 
 179 197 215 
 
 230 244 256 
 
 264 271 275 
 
 278 279 279 
 
 278 276 274 
 
 3OOO 
 
 84 90 100 
 
 114 131 149 
 
 168 187 206 
 
 223 238 251 
 
 261 269 275 
 
 279 281 282 
 
 282 28l 279 
 
 31 OO 
 
 78 83 92 
 
 105 121 139 
 
 158 178 197 
 
 215 231 246 
 
 257 266 273 
 
 278 282 283 
 
 284 284 283 
 
 32OO 
 
 76 79 87 
 
 98 113 130 
 
 149 169 188 
 
 2O7 224 239 
 
 252 262 270 
 
 276 280 283 
 
 284 285 285 
 
 330O 
 
 76 77 83 
 
 93 107 "3 
 
 141 160 180 
 
 199 216 232 
 
 245 257 265 
 
 272 277 280 
 
 283 284 285 
 
 3400 
 
 79 78 82 
 
 90 1 02 117 
 
 134 153 172 
 
 igO 208 224 
 
 238 250 259 
 
 267 273 277 
 
 280 282 283 
 
 350O 
 
 84 81 84 
 
 90 too 113 
 
 129 146 164 
 
 182 200 no 
 
 230 242 252 
 
 260 267 271 
 
 275 278 280 
 
 3600 
 
 91 87 87 
 
 92 100 iii 
 
 125 141 158 
 
 175 191 207 
 
 221 233 244 
 
 252 259 264 
 
 268 272 274 
 
 3700 
 
 ioi 96 94 
 
 96 I 02 III 
 
 123 137 152 
 
 168 183 198 
 
 212 224 234 
 
 243 250 256 
 
 26l 265 268 
 
 380O 
 
 113 106 102 
 
 102 106 113 
 
 122 134 I 47 
 
 161 175 189 
 
 2O2 214 224 
 
 233 241 247 
 
 252 256 259 
 
 39OO 
 
 127 119 113 
 
 III 112 I 16 
 
 123 I 3 2 I 4 3 
 
 155 168 181 
 
 192 204 214 
 
 222 230 236 
 
 241 246 250 
 
 4000 
 
 142 138 125 
 
 121 I2O 121 
 
 126 132 141 
 
 151 161 172 
 
 183 193 203 
 
 211 219 225 
 
 230 235 240 
 
 41 OO 
 
 159 148 139 
 
 133 129 128 
 
 13 133 '39 
 
 147 156 165 
 
 174 183 192 
 
 200 2O7 213 
 
 219 224 228 
 
 4200 
 
 176 165 154 
 
 146 140 136 
 
 135 136 139 
 
 144 151 158 
 
 166 173 181 
 
 188 195 201 
 
 207 212 217 
 
 4300 
 
 194 182 171 
 
 ioi 152 146 
 
 142 140 141 
 
 143 147 152 
 
 158 164 171 
 
 177 184 189 
 
 194 199 204 
 
 44OO 
 
 212 2OO 188 
 
 176 166 157 
 
 150 146 143 
 
 143 144 147 
 
 151 156 162 
 
 166 172 177 
 
 182 187 192 
 
 4500 
 
 230 118 205 
 
 192 180 169 
 
 159 IJZ 147 
 
 144 143 143 
 
 145 148 152 
 
 157 161 166 
 
 171 175 180 
 
 The unit in this Table equals o d 'oooi. Added Constant : +o d 'o2oo. 
 
 The Equation of this Table to be added to that of Table IV. 
 
 70 
 
 The sign is positive. 
 
V continued 
 
 SATELLITE II 
 
 Approximate Tables of Conjunction 
 
 Equation of Geocentric Conjunction Arguments , ft Oc., Tr. 
 
 \8 
 
 '\ 
 
 200"210'22O' 1 
 
 230 ' 240*250' 
 
 260 ; 270 280 
 
 290' 300 ! 31 O ! 
 
 320 330 340 ' 
 
 350 l 360 ' 370 ' 
 
 380 390 400 
 
 a 
 
 
 
 
 
 
 
 
 
 
 2OO 205 210 
 
 215 221 227 
 
 233 239 245 
 
 250 255 257 
 
 2 59 258 255 
 
 250 242 233 
 
 223 211 199 
 
 100 
 
 188 193 198 
 
 2O3 210 2l6 
 
 223 230 238 
 
 245 251 257 
 
 261 263 263 
 
 260 255 248 
 
 239 228 217 
 
 20O 
 
 176 181 186 
 
 191 198 20J 
 
 213 221 230 
 
 239 247 255 
 
 261 266 269 
 
 269 267 262 
 
 255 245 234 
 
 300 
 
 165 169 174 
 
 180 186 193 
 
 2O2 211 221 
 
 231 242 252 
 
 261 268 274 
 
 277 277 *75 
 
 269 261 251 
 
 400 
 
 154 158 163 
 
 168 175 182 
 
 191 2OI 212 
 
 224 236 248 
 
 259 269 277 
 
 283 286 286 
 
 283 276 267 
 
 500 
 
 144 148 152 
 
 158 164 171 
 
 I8O 191 2O2 
 
 215 229 243 
 
 256 268 279 
 
 287 293 295 
 
 294 289 281 
 
 60O 
 
 135 '39 '43 
 
 148 154 161 
 
 170 181 193 
 
 2O6 221 236 
 
 252 266 279 
 
 290 298 303 
 
 304 301 294 
 
 TOO 
 
 128 131 134 
 
 139 145 152 
 
 161 171 184 
 
 198 213 23O 
 
 246 262 277 
 
 291 301 308 
 
 3" 3' 35 
 
 80O 
 
 122 125 127 
 
 131 137 H3 
 
 152 l62 175 
 
 189 205 222 
 
 240 258 274 
 
 289 302 311 
 
 3' 6 3'7 3'4 
 
 9OO 
 
 Il8 I2O 122 
 
 125 130 136 
 
 144 154 166 
 
 180 197 214 
 
 233 252 270 
 
 286 300 311 
 
 318 321 320 
 
 1000 
 
 116 117 118 
 
 121 125 130 
 
 137 147 158 
 
 172 l88 206 
 
 225 244 263 
 
 281 297 309 
 
 318 323 323 
 
 1100 
 
 115 115 1 16 
 
 118 121 126 
 
 132 141 152 
 
 165 180 198 
 
 217 236 256 
 
 275 291 305 
 
 316 322 324 
 
 12OO 
 
 116 no 116 
 
 117 119 123 
 
 128 136 146 
 
 158 173 l8 9 
 
 208 227 247 
 
 266 284 299 
 
 3" 3'9 323 
 
 13OO 
 
 119 1 18 117 
 
 I l8 119 122 
 
 126 132 141 
 
 152 1 66 i Si 
 
 199 218 238 
 
 257 75 291 
 
 304 313 319 
 
 14OO 
 
 124 122 121 
 
 I2O I 2O 122 
 
 125 130 138 
 
 H7 159 '74 
 
 190 208 227 
 
 246 264 281 
 
 294 305 312 
 
 150O 
 
 130 128 126 
 
 124 124 124 
 
 126 130 135 
 
 143 154 167 
 
 182 198 216 
 
 234 252 268 
 
 283 295 303 
 
 16OO 
 
 138 135 '32 
 
 I3O 128 128 
 
 128 131 135 
 
 141 1 49 1 60 
 
 173 188 205 
 
 222 239 255 
 
 270 283 292 
 
 1700 
 
 147 143 140 
 
 '37 135 '33 
 
 132 133 135 
 
 139 146 155 
 
 166 178 193 
 
 209 225 240 
 
 255 268 279 
 
 1800 
 
 157 153 149 
 
 146 142 139 
 
 '37 137 137 
 
 139 144 150 
 
 159 169 182 
 
 195 2IO 225 
 
 239 253 264 
 
 190O 
 
 168 163 159 
 
 '55 '5> '47 
 
 144 142 140 
 
 140 142 146 
 
 152 161 171 
 
 182 19; 209 
 
 223 236 248 
 
 2OOO 
 
 179 175 170 
 
 166 161 156 
 
 152 148 145 
 
 143 H3 '44 
 
 147 153 161 
 
 170 181 193 
 
 206 219 231 
 
 2100 
 
 191 187 182 
 
 177 172 166 
 
 161 155 151 
 
 147 144 143 
 
 143 146 151 
 
 158 167 177 
 
 189 201 213 
 
 2200 
 
 204 199 194 
 
 189 183 177 
 
 170 164 157 
 
 151 146 143 
 
 141 140 143 
 
 47 153 162 
 
 '72 183 195 
 
 2300 
 
 2l6 211 2O6 
 
 201 194 188 
 
 180 173 165 
 
 157 150 144 
 
 139 136 135 
 
 137 141 147 
 
 155 166 177 
 
 2400 
 
 228 223 218 
 
 213 206 199 
 
 191 182 173 
 
 164 155 146 
 
 139 133 129 
 
 128 129 133 
 
 140 149 1 60 
 
 2500 
 
 239 235 230 
 
 224 2l8 2IO 
 
 202 192 182 
 
 171 160 150 
 
 1 40 131 125 
 
 121 I2O 121 
 
 126 134 143 
 
 260O 
 
 250 246 241 
 
 235 229 222 
 
 213 203 191 
 
 179 167 154 
 
 142 131 122 
 
 115 III III 
 
 113 119 128 
 
 2700 
 
 259 255 251 
 
 246 240 232 
 
 223 213 2OI 
 
 188 174 159 
 
 145 132 121 
 
 112 10$ 102 
 
 103 107 114 
 
 2800 
 
 267 264 260 
 
 255 249 242 
 
 233 223 2IO 
 
 196 181 1 66 
 
 IJO 135 121 
 
 no ioi 95 
 
 94 96 102 
 
 2900 
 
 274 272 268 
 
 264 258 251 
 
 243 232 22O 
 
 205 189 173 
 
 156 139 I2 3 
 
 no 99 91 
 
 87 88 92 
 
 3000 
 
 279 277 275 
 
 271 266 259 
 
 251 24] 228 
 
 214 198 180 
 
 l62 144 127 
 
 112 99 90 
 
 83 82 84 
 
 31 OO 
 
 283 282 280 
 
 277 272 266 
 
 258 249 237 
 
 222 206 188 
 
 170 151 132 
 
 11$ IOI 89 
 
 8' 78 79 
 
 32OO 
 
 285 284 283 
 
 280 277 272 
 
 265 255 244 
 
 230 214 197 
 
 178 158 139 
 
 121 105 92 
 
 82 77 76 
 
 330O 
 
 285 285 284 
 
 282 280 275 
 
 269 26l 251 
 
 238 222 205 
 
 186 167 147 
 
 128 in 97 
 
 86 79 76 
 
 34OO 
 
 283 284 284 
 
 283 28l 278 
 
 273 265 256 
 
 244 230 213 
 
 195 176 156 
 
 137 119 104 
 
 91 83 78 
 
 35OO 
 
 280 28l 282 
 
 282 28l 279 
 
 274 269 260 
 
 250 236 221 
 
 204 185 166 
 
 '47 129 113 
 
 99 89 83 
 
 36OO 
 
 274 2 7 6 278 
 
 279 2 79 2 7 8 
 
 275 270 263 
 
 2S4 243 22 9 
 
 213 195 177 
 
 i;8 140 123 
 
 109 98 91 
 
 3700 
 
 268 270 272 
 
 274 275 275 
 
 273 270 265 
 
 2 5 8 2 4 8 235 
 
 221 20; 188 
 
 170 152 136 
 
 121 IO9 10O 
 
 38OO 
 
 259 263 266 
 
 268 270 271 
 
 270 269 265 
 
 260 2)2 242 
 
 229 215 199 
 
 183 166 150 
 
 135 122 112 
 
 39OO 
 
 250 254 257 
 
 260 263 265 
 
 266 266 264 
 
 26l 255 247 
 
 237 225 211 
 
 196 180 165 
 
 150 137 126 
 
 4OOO 
 
 240 244 248 
 
 2 5 I 255 2 5 8 
 
 260 262 262 
 
 26l 257 251 
 
 244 234 222 
 
 209 195 180 
 
 166 153 141 
 
 
 
 
 
 
 
 
 
 41 OO 
 
 228 233 237 
 
 242 246 250 
 
 254 257 258 
 
 259 258 255 
 
 249 242 233 
 
 222 210 196 
 
 183 170 158 
 
 4200 
 
 217 221 226 
 
 231 236 241 
 
 245 250 2 5 3 
 
 256 257 257 
 
 254 250 243 
 
 234 224 212 
 
 2OO 187 175 
 
 43OO 
 
 204 209 214 
 
 219 225 230 
 
 236 242 247 
 
 252 255 257 
 
 258 256 252 
 
 246 238 228 
 
 217 205 193 
 
 44OO 
 
 192 197 2O2 2O7 213 220 
 
 226 233 240 
 
 247 2 53 2 57 
 
 260 26l 260 
 
 257 251 243 
 
 234 223 211 
 
 4500 
 
 l80 185 igO j 195 202 209 
 
 216 224 233 
 
 241 249 256 
 
 26l 265 267 
 
 266 263 258 
 
 250 240 229 
 
 The unit in this Table equals o di oooi. 
 
 Added Constant : +o d 'o2oo. 
 The equation of this Table to be added to that of Table IV. 
 7< 
 
 The sign is positive. 
 
VI 
 
 SATELLITE II 
 
 Approximate Tables of Conjunction 
 
 Equation of Geocentric Conjunction Arguments /3, y 
 
 Oc., Tr. 
 
 \0 
 
 TV 
 
 20 40 
 
 60 80 1OO d 
 
 120 140 160 
 
 180 200 220 
 
 240 260 280 ' 
 
 300 320 340 
 
 360 380 400 
 
 d 
 
 
 
 
 
 
 
 
 o 
 
 100 108 11$ 
 
 119 I2O 119 
 
 115 III 107 
 
 103 100 96 
 
 93 88 84 
 
 8 i 80 8 i 
 
 85 92 100 
 
 20 
 
 40 
 6O 
 80 
 
 100 
 
 85 94. 103 
 72 80 91 
 62 69 So 
 56 61 71 
 56 58 66 
 
 in 117 120 
 
 IO2 112 119 
 
 93 105 no 
 
 84 98 III 
 
 78 91 104 
 
 120 119 116 
 123 124 123 
 123 127 128 
 120 126 129 
 
 115 122 127 
 
 113 1 10 107 
 
 122 119 I l6 
 128 126 124 
 I3O 130 129 
 129 130 130 
 
 102 97 91 
 112 i 06 99 
 120 114 106 
 
 126 121 113 
 
 129 125 119 
 
 84 79 75 
 89 80 72 
 
 96 84 73 
 103 90 76 
 109 97 83 
 
 75 79 85 
 68 68 72 
 64 60 62 
 
 65 58 57 
 70 60 56 
 
 12O 
 140 
 16O 
 ISO 
 2OO 
 
 6 1 60 64 
 70 66 67 
 
 83 77 74 
 98 90 84 
 113 104 95 
 
 74 8 S 97 
 73 8' 9 1 
 
 75 79 8 5 
 80 79 82 
 88 82 80 
 
 108 116 121 
 
 100 i 08 114 
 92 99 104 
 85 90 94 
 80 82 85 
 
 125 127 128 
 IlS 121 123 
 
 108 112 115 
 98 101 105 
 88 91 95 
 
 128 127 122 
 124 125 123 
 Il8 I 2O 121 
 
 109 113 116 
 99 104 no 
 
 115 104 91 
 
 llH III 100 
 120 Il6 110 
 
 119 120 1 18 
 
 110 121 124 
 
 78 67 61 
 89 78 70 
 101 91 83 
 113 106 98 
 
 124 120 113 
 
 22O 
 
 240 
 26O 
 280 
 3OO 
 
 127 118 108 
 137 130 119 
 143 138 128 
 144 142 134 
 140 141 136 
 
 97 87 81 
 1 06 94 84 
 115 101 89 
 122 108 95 
 
 126 114 IO2 
 
 77 76 77 
 
 77 74 7* 
 80 74 71 
 
 84 77 73 
 91 83 78 
 
 79 82 85 
 
 73 75 77 
 70 70 72 
 70 70 70 
 74 72 7i 
 
 89 95 102 
 81 86 95 
 
 75 79 8 7 
 71 75 82 
 71 73 78 
 
 III 120 127 
 105 117 127 
 98 III 124 
 92 104 II* 
 
 86 97 no 
 
 131 131 126 
 
 136 139 137 
 136 142 143 
 131 141 144 
 123 134 140 
 
 32O 
 34O 
 36O 
 380 
 400 
 
 131 >35 '33 
 119 125 127 
 104 112 118 
 89 98 106 
 75 84 94 
 
 127 118 108 
 
 125 121 114 
 121 121 Il8 
 
 113 118 1 20 
 105 114 119 
 
 99 91 85 
 107 too 95 
 114 109 105 
 119 117 114 
 
 122 123 122 
 
 81 78 76 
 90 87 84 
 101 97 94 
 in 108 104 
 
 I2O 117 114 
 
 75 75 77 
 81 79 79 
 90 86 83 
 100 95 89 
 no 104 97 
 
 82 90 101 
 80 84 92 
 81 80 83 
 
 83 79 77 
 88 79 73 
 
 113 124 131 
 
 101 in 119 
 
 89 96 104 
 
 78 82 89 
 
 69 70 75 
 
 The unit In this Table equals o"-oooi . Added Constant : o*-oioo. 
 
 The Equation of this Table to be added to that of Table IV. 
 
 The sign is positive. 
 
SATELLITE II 
 
 Approximate Tables of Conjunction 
 
 VII Equations of Conjunction VIII 
 
 I 
 
 
 
 3 
 
 
 
 Equation 
 
 A 
 
 d 
 
 d 
 
 
 00 
 
 O - OI5O 
 
 - 19 
 
 1 
 
 I 3 I 
 
 '9 
 
 1 
 
 >'3 
 
 ll 
 
 3 
 
 96 
 
 16 
 
 4 
 
 ii 
 
 "4 
 
 5 
 
 68 
 
 12 
 
 0-6 
 
 0-0057 
 
 - 9 
 
 7 
 
 5 
 
 6 
 
 8 
 
 45 
 
 - 3 
 
 9 
 
 44 
 
 + i 
 
 10 
 
 46 
 
 4 
 
 11 
 
 0-0052 
 
 + 8 
 
 2 
 
 61 
 
 10 
 
 3 
 
 7* 
 
 '3 
 
 4 
 
 86 
 
 15 
 
 5 
 
 IO2 
 
 7 
 
 16 
 
 O-OI2O 
 
 + 18 
 
 7 
 
 138 
 
 '9 
 
 8 
 
 57 
 
 '9 
 
 9 
 
 176 
 
 iS 
 
 2-0 
 
 93 
 
 '7 
 
 2-1 
 
 O-O2IO 
 
 + 16 
 
 2 
 
 225 
 
 H 
 
 3 
 
 237 
 
 ii 
 
 4 
 
 246 
 
 8 
 
 5 
 
 253 
 
 5 
 
 2-6 
 
 0-0256 
 
 + i 
 
 7 
 
 2 S5 
 
 - 2 
 
 8 
 
 252 
 
 5 
 
 9 
 
 MS 
 
 9 
 
 30 
 
 *35 
 
 ii 
 
 3-1 
 
 0*0223 
 
 - 4 
 
 2 
 
 zo8 
 
 16 
 
 3 
 
 191 
 
 ll 
 
 4 
 
 173 
 
 18 
 
 5 
 
 '55 
 
 '9 
 
 36 
 
 0-0136 
 
 - '9 
 
 7 
 
 118 
 
 18 
 
 8 
 
 IOO 
 
 >7 
 
 9 
 
 84 
 
 '5 
 
 4-0 
 
 7' 
 
 '3 
 
 4-1 
 
 0-0059 
 
 - 10 
 
 2 
 
 5' 
 
 7 
 
 3 
 
 46 
 
 4 
 
 4 
 
 44 
 
 - i 
 
 5 
 
 45 
 
 + 3 
 
 46 
 
 0-0050 
 
 + 7 
 
 7 
 
 58 
 
 10 
 
 8 
 
 69 
 
 12 
 
 9 
 
 82 
 
 '5 
 
 50 
 
 0^0098 
 
 + 17 
 
 EC., Oc., Sh., Tr. 
 
 . 
 
 1 
 
 e 
 
 Equation 
 
 d 
 00 
 
 d 
 
 0-0050 
 
 1 
 
 Si 
 
 2 
 
 53 
 
 3 
 
 54 
 
 4 
 
 54 
 
 5 
 
 54 
 
 06 
 
 0-0053 
 
 7 
 
 5 2 
 
 8 
 
 5i 
 
 9 
 
 So 
 
 1O 
 
 48 
 
 1-1 
 
 0-0047 
 
 2 
 
 46 
 
 3 
 
 46 
 
 4 
 
 46 
 
 5 
 
 47 
 
 16 
 
 0*0048 
 
 7 
 
 49 
 
 8 
 
 5 
 
 9 
 
 5* 
 
 20 
 
 53 
 
 2-1 
 
 0-0054 
 
 *2 
 
 54 
 
 3 
 
 54 
 
 4 
 
 53 
 
 5 
 
 5* 
 
 26 
 
 0-0051 
 
 7 
 
 So 
 
 8 
 
 48 
 
 9 
 
 47 
 
 30 
 
 46 
 
 3-1 
 
 0-0046 
 
 2 
 
 46 
 
 3 
 
 47 
 
 4 
 
 48 
 
 5 
 
 49 
 
 3-6 
 
 0*0051 
 
 7 
 
 5* 
 
 8 
 
 53 
 
 9 
 
 54 
 
 40 
 
 54 
 
 4-1 
 
 0-0054 
 
 2 
 
 Sz 
 
 3 
 
 53 
 
 4 
 
 5' 
 
 5 
 
 49 
 
 4-6 
 
 0-0048 
 
 7 
 
 47 
 
 8 
 
 46 
 
 9 
 
 46 
 
 50 
 
 0-0046 
 
 Added Constant : +o d 'oi5o. Added Constant : +o d 'ooso. 
 
 The Equations of Tables VII, VIII to be added to tbe entries of Table I, Column 2. 
 
 73 
 
SATELLITE II 
 
 Tables 
 
 of 
 
 Longitude on Jupiter's Orbit, 
 
 Variation of the Radius Vector, 
 
 and Latitude 
 
SATELLITE II 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 IX Values at Epoch of Mean Longitude and the Arguments 
 
 I 
 
 z 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 10 
 
 ii 
 
 12 
 
 13 
 
 4 
 
 Date 
 
 Mean Long. 
 
 A 
 
 B 
 
 c 
 
 D 
 
 E 
 
 F 
 
 Q 
 
 H 
 
 1 
 
 J 
 
 K 
 
 L 
 
 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 18500 
 
 *72-343'5 
 
 5-61104 
 
 .-64 
 
 O'I2 
 
 2-147 
 
 0-59II 
 
 0-247 
 
 223-78 
 
 451-85 
 
 205*04 
 
 253-48 
 
 34 
 
 2-03 
 
 1851 
 
 194-13 1 1 6 
 
 3-96283 
 
 1-24 
 
 2-34 
 
 1-206 
 
 3-3459 
 
 3-020 
 
 187-62 
 
 359 1 ' 8 
 
 87-74 
 
 132*89 
 
 O*I2 
 
 3-18 
 
 *18520 
 
 115-91917 
 
 2-31462 
 
 0-84 
 
 I'OO 
 
 0-264 
 
 2-5493 
 
 2-242 
 
 151-46 
 
 266-50 
 
 45274 
 
 I2*3O 
 
 0*66 
 
 0*84 
 
 18530 
 
 139-08194 
 
 1-66641 
 
 ''45 
 
 0-65 
 
 0-322 
 
 27528 
 
 2-463 
 
 Il6-31 
 
 '74' 8 3 
 
 336*44 
 
 378-30 
 
 0-44 
 
 2*99 
 
 18540 
 
 60-86995 
 
 O-Ol8l9 
 
 I-0 S 
 
 2-87 
 
 2-934 
 
 I-9562 
 
 1-685 
 
 80-15 
 
 82-15 
 
 219*14 
 
 257-71 
 
 0*98 
 
 0*65 
 
 18550 
 
 342-65796 
 
 5-42091 
 
 0-65 
 
 ''53 
 
 1-992 
 
 I-I596 
 
 0-906 
 
 43-99 
 
 447-15 
 
 IO1*83 
 
 I37-I2 
 
 '53 
 
 1-81 
 
 * 18560 
 
 264-44597 
 
 377270 
 
 O-26 
 
 0-18 
 
 1-050 
 
 0-3630 
 
 0-128 
 
 7-84 
 
 354-48 
 
 466*83 
 
 16-53 
 
 0-31 
 
 2*96 
 
 18570 
 
 287-60875 
 
 3-I2449 
 
 0-86 
 
 3'4 
 
 1-109 
 
 0-5664 
 
 0-350 
 
 373^4 
 
 262-80 
 
 35 -53 
 
 382-53 
 
 0-08 
 
 1*62 
 
 18580 
 
 209-39676 
 
 1-47628 
 
 0-46 
 
 2 'O6 
 
 0-167 
 
 3-32I2 
 
 3-123 
 
 337-68 
 
 170-13 
 
 233-23 
 
 261-95 
 
 0-63 
 
 277 
 
 1859 
 
 131-18477 
 
 6-87900 
 
 0-07 
 
 071 
 
 2-779 
 
 2-5246 
 
 *-344 
 
 301-52 
 
 77-45 
 
 "5-93 
 
 I4I-35 
 
 1-17 
 
 0*43 
 
 -18600 
 
 52-97278 
 
 5-23078 
 
 4-18 
 
 2-92 
 
 J-837 
 
 17280 
 
 1-566 
 
 265-37 
 
 442H5 
 
 480*93 
 
 20-76 
 
 171 
 
 1*58 
 
 1861 
 
 76'i3555 
 
 4-58257 
 
 0-27 
 
 2-59 
 
 1-895 
 
 I-9314 
 
 1788 
 
 230-21 
 
 35078 
 
 364- 6 3 
 
 386-76 
 
 1-49 
 
 0-24 
 
 18620 
 
 357-92356 
 
 2-93436 
 
 4'39 
 
 1-24 
 
 0-954 
 
 1-I348 
 
 1-009 
 
 194-05 
 
 258-10 
 
 247-33 
 
 266*17 
 
 0-27 
 
 1*39 
 
 18630 
 
 27971157 
 
 I-286I5 
 
 3-99 
 
 3-46 
 
 O-OI2 
 
 0-3382 
 
 0-231 
 
 157-89 
 
 '65-43 
 
 I3O-O2 
 
 I45*58 
 
 0-81 
 
 2-54 
 
 * 18640 
 
 201-49958 
 
 6-68887 
 
 3'59 
 
 2'12 
 
 2-623 
 
 3-0930 
 
 3-004 
 
 12174 
 
 7275 
 
 12*72 
 
 24*99 
 
 1-36 
 
 O-2O 
 
 1865 
 
 224-66235 
 
 6-04066 
 
 4-20 
 
 I 7 8 
 
 2-682 
 
 3-2964 
 
 3-225 
 
 86-58 
 
 43875 
 
 378-72 
 
 390*99 
 
 ''3 
 
 2-36 
 
 1866 
 
 146-45036 
 
 4'39 2 45 
 
 3-80 
 
 0-43 
 
 1740 
 
 2-4998 
 
 2-447 
 
 50-42 
 
 346-08 
 
 261*42 
 
 270-40 
 
 1*68 
 
 O'OI 
 
 18670 
 
 68-23837 
 
 2-74424 
 
 3HO 
 
 2-65 
 
 0-799 
 
 17033 
 
 1-669 
 
 14-27 
 
 253HO 
 
 I44-I2 
 
 I49*8l 
 
 0-46 
 
 1*17 
 
 *18680 
 
 350-02638 
 
 1-09603 
 
 3-01 
 
 I-30 
 
 3-410 
 
 0-9067 
 
 0-890 
 
 379'27 
 
 16073 
 
 26-82 
 
 29*22 
 
 1*00 
 
 2*32 
 
 1869O 
 
 13-18915 
 
 0-44782 
 
 3'6i 
 
 0-96 
 
 3-468 
 
 I'lIOI 
 
 n 12 
 
 344-" 
 
 69-06 
 
 392-82 
 
 395-22 
 
 078 
 
 0*98 
 
 18700 
 
 294-97716 
 
 5-85053 
 
 3-21 
 
 3'i8 
 
 2-527 
 
 0-3I35 
 
 0-334 
 
 307-95 
 
 434-06 
 
 275*51 
 
 274- 6 3 
 
 1*32 
 
 2*13 
 
 1871 
 
 216-76517 
 
 4-20232 
 
 2-82 
 
 1-83 
 
 1-585 
 
 3-0683 
 
 3-106 
 
 271-80 
 
 34>-38 
 
 I58-2I 
 
 I54*04 
 
 O*IO 
 
 3'*8 
 
 *1872-O 
 
 I38-553I9 
 
 2-55411 
 
 2-42 
 
 0-49 
 
 0-644 
 
 2-2717 
 
 2-328 
 
 235-64 
 
 24871 
 
 40*91 
 
 33-45 
 
 0-64 
 
 0*94 
 
 1873O 
 
 161-71596 
 
 1-90590 
 
 3-02 
 
 0-15 
 
 0-702 
 
 2-4751 
 
 2-550 
 
 200-48 
 
 157-03 
 
 406*91 
 
 399-45 
 
 0*42 
 
 3-09 
 
 18740 
 
 83-50397 
 
 0-25769 
 
 2-63 
 
 2-36 
 
 3-3I3 
 
 1-6785 
 
 i-77i 
 
 164-33 
 
 64-36 
 
 289-61 
 
 278*86 
 
 0-97 
 
 0*75 
 
 18750 
 
 5-29198 
 
 5-66041 
 
 2-23 
 
 I-O2 
 
 2-372 
 
 0-88I9 
 
 0-993 
 
 128-17 
 
 429-36 
 
 172-31 
 
 I58-27 
 
 1*51 
 
 1-91 
 
 *1876'O 
 
 287-07999 
 
 4-01219 
 
 1-83 
 
 3-24 
 
 1-430 
 
 0-0853 
 
 0-215 
 
 92-01 
 
 336-68 
 
 55*00 
 
 37-68 
 
 0-29 
 
 3*o6 
 
 18770 
 
 310-24276 
 
 3-3639 8 
 
 2-44 
 
 2-89 
 
 1-488 
 
 0-2887 
 
 0-436 
 
 56-85 
 
 245-01 
 
 42 1 'oo 
 
 403-68 
 
 0*06 
 
 172 
 
 1878 
 
 232-03077 
 
 1-71577 
 
 2-04 
 
 ''55 
 
 0-547 
 
 3-0435 
 
 3-209 
 
 20-70 
 
 I52-33 
 
 30370 
 
 283-09 
 
 0-61 
 
 2-87 
 
 18790 
 
 153-81878 
 
 0-06756 
 
 64 
 
 0'2I 
 
 3-I58 
 
 2*2469 
 
 2-431 
 
 38570 
 
 59-66 
 
 186*40 
 
 162-51 
 
 1*15 
 
 o-53 
 
 *18800 
 
 75-60679 
 
 5-47028 
 
 2 5 
 
 2-42 
 
 2'2l6 
 
 1-4504 
 
 1-652 
 
 349-54 
 
 424-66 
 
 69*10 
 
 41-92 
 
 170 
 
 1-68 
 
 1881 
 
 9876956 
 
 4-82207 
 
 85 
 
 2-08 
 
 2-275 
 
 1-6538 
 
 1-874 
 
 3'4-38 
 
 332-98 
 
 435-1 
 
 407-92 
 
 i-47 
 
 o*34 
 
 1882 
 
 20-55757 
 
 3-17386 
 
 45 
 
 074 
 
 1-333 
 
 0-8572 
 
 1-096 
 
 278-23 
 
 240-31 
 
 317-80 
 
 287-33 
 
 0*25 
 
 1*49 
 
 18830 
 
 302-34558 
 
 1-52565 
 
 05 
 
 2-95 
 
 0-392 
 
 O-o6o6 
 
 0-317 
 
 242-07 
 
 I47-63 
 
 200-49 
 
 166-74 
 
 0*80 
 
 2-64 
 
 *18840 
 
 224-13359 
 
 6-92836 
 
 0-66 
 
 1-61 
 
 3-003 
 
 2-8154 
 
 3-090 
 
 205-91 
 
 54-96 
 
 83-19 
 
 46-15 
 
 1*34 
 
 0-30 
 
 1885 O 
 
 247-29637 
 
 6-28015 
 
 1-26 
 
 1-27 
 
 3-061 
 
 3-OI88 
 
 3-312 
 
 17076 
 
 420-96 
 
 449-19 
 
 412*15 
 
 1*12 
 
 2-46 
 
 1886O 
 
 169-08438 
 
 4-63194 
 
 0-86 
 
 3'48 
 
 2'120 
 
 2-2222 
 
 2-534 
 
 134-60 
 
 328-28 
 
 33I-89 
 
 291-56 
 
 1*66 
 
 o-ii 
 
 1887 
 
 90-87239 
 
 2-98373 
 
 0-47 
 
 2-14 
 
 I-I78 
 
 1-4256 
 
 1-755 
 
 98-44 
 
 235-61 
 
 214*59 
 
 170-97 
 
 o-44 
 
 1-27 
 
 *18880 
 
 12*66040 
 
 1-33552 
 
 0-07 
 
 0-80 
 
 0-237 
 
 0-6290 
 
 0-977 
 
 62-29 
 
 142-93 
 
 97-29 
 
 50-38 
 
 0*98 
 
 2*42 
 
 18890 
 
 35-823I7 
 
 0-68731 
 
 0-67 
 
 0-46 
 
 0-295 
 
 0-8324 
 
 1-198 
 
 27-13 
 
 51-26 
 
 463-29 
 
 416-38 
 
 076 
 
 1*08 
 
 1890O 
 
 317-61 1 18 
 
 6-09003 
 
 0-28 
 
 2-67 
 
 2-906 
 
 0-0358 
 
 0-420 
 
 392-I3 
 
 416-26 
 
 345-99 
 
 29579 
 
 1-30 
 
 2*23 
 
 1891 
 
 239-39919 
 
 4-44182 
 
 4'39 
 
 >'33 
 
 I- 9 65 
 
 27906 
 
 3-I93 
 
 355-97 
 
 323-58 
 
 228*68 
 
 175-20 
 
 0*08 
 
 3-38 
 
 * 189 20 
 
 161-18720 
 
 2-79360 
 
 3 '99 
 
 3-55 
 
 1-023 
 
 I-9940 
 
 2-415 
 
 319-82 
 
 230-91 
 
 111*38 
 
 54*61 
 
 0-63 
 
 1*04 
 
 1893-0 
 
 184-34997 
 
 2-14539 
 
 0-09 
 
 3-20 
 
 I -08 I 
 
 2-1974 
 
 2-636 
 
 284-66 
 
 139-23 
 
 477-38 
 
 420-61 
 
 0*40 
 
 3-I9 
 
 18940 
 
 106-13798 
 
 0-49718 
 
 4-20 
 
 1-86 
 
 O-I4O 
 
 1 -4009 
 
 1-858 
 
 248-50 
 
 46-56 
 
 360*08 
 
 300-02 
 
 0-95 
 
 0-85 
 
 1895 O 
 
 27-92599 
 
 5-89990 
 
 3-80 
 
 0-52 
 
 2751 
 
 0-6043 
 
 1-080 
 
 212-34 
 
 411-56 
 
 24278 
 
 I79-43 
 
 1-49 
 
 2*OI 
 
 *18960 
 
 309-71400 
 
 4-25169 
 
 3'4i 
 
 *73 
 
 1-810 
 
 3'359' 
 
 0-301 
 
 176-19 
 
 318-88 
 
 125*48 
 
 58*84 
 
 0-27 
 
 3*16 
 
 1897 O 
 
 332-87677 
 
 3-60348 
 
 4-01 
 
 2-39 
 
 1-868 
 
 O'OIII 
 
 0-523 
 
 141-03 
 
 227-21 
 
 9*17 
 
 424-84 
 
 0-05 
 
 1-82 
 
 18980 
 
 254-66478 
 
 I-95527 
 
 3-61 
 
 1-05 
 
 0-926 
 
 27659 
 
 3-296 
 
 104-87 
 
 I34"53 
 
 374-I7 
 
 304*25 
 
 0-59 
 
 2-97 
 
 18990 
 
 176-45280 
 
 0-30706 
 
 3-22 
 
 3-26 
 
 3-538 
 
 1-9693 
 
 2-517 
 
 6872 
 
 41-86 
 
 256*87 
 
 183-66 
 
 '-'3 
 
 0*63 
 
 19000 
 
 98-24081 
 
 5-70977 
 
 2-82 
 
 1-92 
 
 2-596 
 
 1-1727 
 
 '739 
 
 32-56 
 
 406-86 
 
 '39'57 
 
 63*07 
 
 1*68 
 
 178 
 
 Periods 
 
 
 7-05093 
 
 4'5i 
 
 3'56 
 
 3-553 
 
 3-5514 
 
 3'55' 
 
 401*16 
 
 457-67 
 
 482*30 
 
 485-59 
 
 1-77 
 
 3-5 
 
 Constant applied to each entry In Column 2 : - i - 3iooo. 
 76 
 
IX 
 
 SATELLITE II 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 Values at Epoch of Mean Longitude and the Arguments 
 
 '5 
 
 16 
 
 17 
 
 ll 
 
 '9 
 
 ZO 
 
 21 
 
 M 
 
 *3 
 
 *4 
 
 *5 
 
 26 
 
 *7 
 
 28 
 
 M 
 
 N 
 
 o 
 
 P 
 
 Q 
 
 R 
 
 S 
 
 T 
 
 u 
 
 V 
 
 w 
 
 X 
 
 Y 
 
 z 
 
 d 
 
 d 
 
 d 
 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 0-058 
 
 0-40 
 
 O-l6 
 
 1 850 
 
 3 - '394> 
 
 0-3167 
 
 0-710 
 
 0-95 
 
 1-04479 
 
 3'2 
 
 1-830 
 
 2-32 
 
 3-1 
 
 27 
 
 1-070 
 
 '39 
 
 3-25 
 
 1851 
 
 2-36777 
 
 ''3794 
 
 1-726 
 
 0-18 
 
 0-39122 
 
 2'9 
 
 1-084 
 
 I- 5 6 
 
 o-5 
 
 1-3 
 
 4-083 
 
 2-39 
 
 2-77 
 
 18520 
 
 1-59613 
 
 0-6668 
 
 0-967 
 
 1-19 
 
 3-28769 
 
 2-6 
 
 0-338 
 
 0-79 
 
 '4 
 
 3'5 
 
 0-595 
 
 0-88 
 
 3-28 
 
 18530 
 
 1-82448 
 
 0-9542 
 
 1-208 
 
 1-42 : 0-08409 
 
 3'3 
 
 0-591 
 
 1-03 
 
 3'2 
 
 3 - i 
 
 i -608 
 
 1-87 
 
 2-80 
 
 18540 
 
 1-05284 
 
 0-2416 
 
 0-449 
 
 0-65 2-98055 
 
 3'o 
 
 3'39 6 
 
 O-26 
 
 0-6 
 
 1-8 
 
 2-620 
 
 2-87 
 
 2-31 
 
 1855-0 
 
 0-28120 
 
 1-3043 
 
 1-466 
 
 1-66 | 2-32698 
 
 2-7 
 
 2-649 
 
 3-05 
 
 '5 
 
 0-4 
 
 0-133 
 
 0-36 
 
 1-83 
 
 * 18560 
 
 3-06074 
 
 0-5917 
 
 0707 
 
 0-89 1-67341 
 
 2-4 
 
 1-903 
 
 2-28 
 
 2'3 
 
 2-6 
 
 2-146 
 
 2-36 
 
 2-34 
 
 1857 
 
 3-28909 
 
 0-8791 
 
 0-948 
 
 ri2 2-01985 
 
 3-1 
 
 2-157 
 
 2-5I 
 
 07 
 
 2'2 
 
 3-I58 
 
 3-35 
 
 1-85 
 
 1858O 
 
 2 4 5i745 
 
 0-1665 
 
 0-189 
 
 0-35 1-36628 
 
 2-8 
 
 1-410 
 
 175 
 
 1-6 
 
 0-8 
 
 0-670 
 
 0-85 
 
 '37 
 
 1859 
 
 174581 
 
 1-2292 
 
 I-205 
 
 '36 
 
 0-71271 
 
 2-5 
 
 0-664 
 
 0-98 
 
 2'5 
 
 3-0 
 
 1-683 
 
 1-84 
 
 0-88 
 
 * 18600 
 
 0-97417 
 
 0-5166 
 
 0-446 
 
 0-59 
 
 0-05914 
 
 2-3 
 
 3-469 
 
 O-22 
 
 3'3 
 
 1-6 
 
 0-195 
 
 0-34 
 
 1-40 
 
 1861 
 
 1-20252 
 
 0-8040 
 
 0-687 
 
 0-82 ' 0-40557 
 
 3-0 
 
 0-171 
 
 0-45 
 
 '7 
 
 '3 
 
 1-208 
 
 1-33 
 
 0-91 
 
 18620 
 
 0-43088 
 
 0-0915 
 
 1704 
 
 O-05 : 3-30204 
 
 27 
 
 2-976 
 
 3^4 
 
 2-6 
 
 3'5 
 
 2-22O 
 
 2-32 
 
 Q'43 
 
 1863O 
 
 3-21042 
 
 1-1542 
 
 0-945 
 
 1-O6 2-64847 
 
 2'4 
 
 2-230 
 
 2-47 
 
 3'4 
 
 2'I 
 
 3-232 
 
 3-32 
 
 3'52 
 
 *18640 
 
 2-43878 
 
 0-4416 
 
 0-186 
 
 0-29 | I-99490 
 
 2'I 
 
 I-483 
 
 171 
 
 0-8 
 
 07 
 
 '745 
 
 1-81 
 
 0-45 
 
 18650 
 
 2-66713 
 
 0-7290 
 
 0-427 
 
 0-52 
 
 2'34'33 
 
 2-8 
 
 '737 
 
 1-94 
 
 27 
 
 0-3 
 
 2757 
 
 2-81 
 
 3-55 
 
 18660 
 
 1-89549 
 
 0-0164 
 
 1-443 
 
 ''53 
 
 1-68776 
 
 2'5 
 
 0-991 
 
 111 
 
 O'l 
 
 2'5 
 
 0-270 
 
 0-30 
 
 3-07 
 
 1867-0 
 
 1-12385 
 
 1-0791 
 
 0-684 
 
 0-76 
 
 1-03419 
 
 2*2 
 
 0-244 
 
 0-4I 
 
 0-9 
 
 1*1 
 
 1-283 
 
 1-30 
 
 2-58 
 
 * 18680 
 
 0-35220 
 
 0-3665 
 
 1701 
 
 I'77 0-38062 
 
 I- 9 
 
 3-049 
 
 3-2O 
 
 1-8 
 
 3'3 
 
 3-295 
 
 3-29 
 
 3-09 
 
 1869-0 
 
 0-58056 
 
 0-6539 
 
 o - i66 
 
 0-23 072705 
 
 27 
 
 3-303 
 
 3-43 
 
 O'2 
 
 3-0 
 
 0-808 
 
 079 
 
 2-61 
 
 1 8700 
 
 3-36010 
 
 17166 
 
 1-183 
 
 1-23 0-07348 
 
 2- 4 
 
 2-556 
 
 2-6 7 
 
 i-o 
 
 1-6 
 
 1-820 1 1-78 
 
 2-12 
 
 1871 O 
 
 2-58846 
 
 i -0040 
 
 0-424 
 
 0-46 2-96995 
 
 2'I 
 
 1-810 
 
 1- 9 I 
 
 '9 
 
 O'2 
 
 2-832 278 
 
 1-64 
 
 *1872-O 
 
 1-81681 
 
 0-2914 
 
 1-441 
 
 1-47 2-31638 
 
 1-8 
 
 1-064 
 
 I-I4 
 
 2-8 
 
 2'4 
 
 1-345 i ' <2 7 
 
 2-15 
 
 1873 
 
 2-04517 
 
 0-5788 
 
 1-682 
 
 1-69 2-66281 
 
 2-5 
 
 '3i7 
 
 '37 
 
 1-2 
 
 2'O 
 
 2-357 2-26 
 
 1-66 
 
 18740 
 
 1-27353 
 
 1-6415 
 
 0-923 
 
 0-94 2-00924 
 
 2 - 2 
 
 0-571 
 
 0-6 1 
 
 2-O 
 
 0-7 
 
 3-369 3-26 
 
 I -12 
 
 1875-O 
 
 0-50189 
 
 0-9289 
 
 0-164 
 
 0-17 
 
 1-35567 1-9 
 
 3-376 
 
 3-39 
 
 2'9 
 
 2-8 
 
 0-882 i 075 
 
 0-69 
 
 *1876'O 
 
 3-28142 
 
 0-2163 
 
 1-180 
 
 1-17 ; 0-70210 ; 1-6 
 
 2-629 
 
 2-63 
 
 0-3 
 
 1-5 
 
 2-894 ! 275 
 
 I-2I 
 
 1877O 
 
 3-50978 
 
 0-5037 
 
 1-421 
 
 1-41 
 
 1-04854 
 
 2'3 
 
 2-883 
 
 2-86 
 
 2*2 
 
 I -I 
 
 0-407 i 0-24 
 
 0-72 
 
 18780 
 
 2-73814 
 
 1-5664 
 
 0-662 
 
 0-64 
 
 0-39497 
 
 2'I 
 
 2-137 
 
 2'IO 
 
 3-0 
 
 3'3 
 
 1-420 i 1-24 
 
 O-24 
 
 18790 
 
 1-96650 
 
 0-8538 
 
 1-679 
 
 1-64 
 
 3'29'43 
 
 1-8 
 
 1-390 
 
 '33 
 
 0'4 
 
 1*9 
 
 2-432 1 2-23 
 
 3-33 
 
 * 18800 
 
 1-19485 
 
 0-1412 
 
 0-920 
 
 0-88 
 
 2-63786 
 
 '5 
 
 0-644 
 
 0-56 
 
 1-3 
 
 0-5 
 
 0-945 I 0-73 
 
 O-26 
 
 1881 O 
 
 1-42321 
 
 0-4286 
 
 1-160 
 
 ru 
 
 2-98429 
 
 2'2 
 
 0-898 
 
 0-80 
 
 3-' 
 
 O-2 
 
 1-957 17* 
 
 3^6 
 
 188 2O 
 
 0-65157 
 
 1-4913 
 
 0-402 
 
 o'34 
 
 2-33073 
 
 l- 9 
 
 0-151 
 
 O-O3 
 
 0-5 
 
 2'4 
 
 2-969 
 
 271 
 
 2-88 
 
 1883-O 
 
 3-43111 
 
 07787 
 
 1-418 
 
 '35 
 
 1-67716 
 
 1-6 
 
 2-956 
 
 2-82 
 
 '4 
 
 ro 
 
 0-482 
 
 O'2I 
 
 2-39 
 
 *1884'O 
 
 2-65946 
 
 0-0661 
 
 0-659 
 
 0-58 
 
 1-02359 
 
 ''3 
 
 2'2IO 
 
 2-05 
 
 2'3 
 
 3'i 
 
 2-494 
 
 2-2O 
 
 2-90 
 
 1885 
 
 2-88782 
 
 0'3535 
 
 0-900 
 
 0-81 
 
 1-37002 
 
 2 - O 
 
 2-463 
 
 2-29 
 
 0-6 
 
 2-8 
 
 0-007 
 
 3-20 
 
 2-42 
 
 1886-0 
 
 2-11618 
 
 1-4162 
 
 0-141 
 
 0-04 
 
 0-71645 
 
 17 
 
 1717 
 
 I-52 
 
 1-5 
 
 '4 
 
 1-019 
 
 0-69 
 
 i'93 
 
 1887 
 
 '"34453 
 
 0-7036 
 
 1-158 
 
 1-05 
 
 0-06288 
 
 '5 
 
 0-970 
 
 0-76 
 
 *'4 
 
 o-i 
 
 2-031 
 
 1-69 
 
 I- 45 
 
 *18880 
 
 0-57289 
 
 1-7664 
 
 0-399 
 
 0-28 
 
 2-95935 
 
 I'2 
 
 0*224 
 
 3-54 
 
 3-2 
 
 2'2 
 
 -545 
 
 0-18 
 
 1-96 
 
 1883 
 
 0-80125 
 
 0-2785 
 
 0-640 
 
 0-51 
 
 3-30578 
 
 I- 9 
 
 0-478 
 
 0-23 
 
 1-6 
 
 I- 9 
 
 ''557 
 
 1-18 
 
 1-47 
 
 1830 
 
 0-02961 
 
 1-3412 
 
 1-656 
 
 1-52 
 
 2-65221 
 
 1-6 
 
 3-282 
 
 3-01 
 
 2'5 
 
 0-5 
 
 2-569 
 
 2-17 
 
 o- 99 
 
 1891 
 
 2-80914 
 
 0-6286 
 
 0-897 
 
 075 
 
 1-99864 
 
 1-3 
 
 2-536 
 
 2-25 
 
 3'3 
 
 27 
 
 0-082 
 
 3-i6 
 
 0-50 
 
 *1892O 
 
 2-03750 
 
 1-6913 
 
 0-138 
 
 176 
 
 1-34507 
 
 ro 
 
 I-790 
 
 1-48 
 
 07 
 
 '3 
 
 2-094 
 
 1-66 
 
 I '02 
 
 1893-O 
 
 2-26586 
 
 0-2034 
 
 o-379 
 
 0-21 
 
 1-69150 
 
 17 
 
 2-043 
 
 172 
 
 2-6 
 
 0-9 
 
 3-107 
 
 2-65 
 
 0'53 
 
 18940 
 
 1-49422 
 
 1-2661 
 
 1-396 
 
 I'22 
 
 1-03793 
 
 1-4 
 
 I-297 
 
 0-95 
 
 O'O 
 
 3' 
 
 0-618 
 
 0-15 
 
 0-05 
 
 18950 
 
 072257 
 
 0-5535 
 
 0-637 
 
 0-45 
 
 0-38436 
 
 1-1 
 
 0-551 O-ig 
 
 0-8 
 
 '"7 
 
 1-631 
 
 1-14 
 
 3-14 
 
 1896 
 
 3-50211 
 
 1-6162 
 
 1-653 
 
 r 4 6 
 
 3-28083 
 
 0-9 
 
 3-355 2-97 
 
 '7 
 
 0-4 
 
 0-144 
 
 3'H 
 
 0-07 
 
 1897 
 
 0-17929 
 
 0-1283 
 
 0-119 
 
 1-69 
 
 0-07723 
 
 1-6 
 
 0-058 3-21 
 
 o-i 
 
 o-o 
 
 1-156 
 
 0-63 
 
 3-1? 
 
 18980 
 
 2-95883 
 
 1-1910 
 
 1-135 
 
 0-92 
 
 2-97369 
 
 '3 
 
 2-863 2-44 
 
 0-9 
 
 2'2 
 
 2-168 
 
 1-63 
 
 2-69 
 
 1899 
 
 2-18718 
 
 0-4784 
 
 0-376 
 
 0-15 
 
 2-32012 
 
 I'D 
 
 2-116 i-68 
 
 1-8 
 
 0-8 
 
 3-181 
 
 2-62 
 
 2'2O 
 
 19000 
 
 i'4'554 
 
 1-5411 
 
 1-393 1-16 
 
 1-66655 
 
 07 
 
 1-370 0-91 
 
 27 
 
 3-o 
 
 3-500 
 
 3-50 
 
 3-58 
 
 Periods 
 
 3'55"8 
 
 '7753 
 
 1776 178 
 
 
 3-55o o 3 
 
 3'5 
 
 3-55I 
 
 3'55 
 
 3'5 
 
 3-6 
 
 
 
 
 
 
 i 
 
 
 
 
 
 To find the True Longitude, reduced to Jupiter's Orbit, the entries of Column 2 must be supplemented by the equations of Tables XII-XXXII. 
 
 77 
 
SATELLITE II 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 IX continued Values at Epoch of Mean Longitude and the Arguments 
 
 I 
 
 i 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 10 
 
 ii 
 
 12 
 
 13 
 
 14 
 
 Date 
 
 Mean Long. 
 
 A 
 
 B 
 
 c 
 
 D 
 
 E 
 
 F 
 
 G 
 
 H 
 
 1 
 
 J 
 
 K 
 
 L 
 
 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 1 9000 
 
 98-24081 
 
 5-70977 
 
 z-8z 
 
 l- 9 2 
 
 2-596 
 
 1-I727 
 
 '739 
 
 32-56 
 
 406-86 
 
 '39'57 
 
 63-07 
 
 1-68 
 
 I 7 8 
 
 1 901 
 
 20-02882 
 
 4-06156 
 
 2-42 
 
 0-58 
 
 1-654 
 
 0-3761 
 
 0-961 
 
 397-56 
 
 314-19 
 
 22-27 
 
 428-07 
 
 0-46 
 
 2-93 
 
 1 9020 
 
 301-81683 
 
 Z'4'335 
 
 2-03 
 
 2- 79 
 
 0-713 
 
 3-1309 
 
 0-182 
 
 361-40 
 
 221*51 
 
 387-27 
 
 307-48 
 
 i-oo 
 
 0-59 
 
 1903O 
 
 223-604.84 
 
 076514 
 
 63 
 
 ''45 
 
 3-324 
 
 2-3343 
 
 2'955 
 
 325-25 
 
 128-84 
 
 269-97 
 
 186-89 
 
 '55 
 
 174 
 
 * 1904-0 
 
 145-39285 
 
 6-16786 
 
 23 
 
 O'l I 
 
 2-382 
 
 1-5377 
 
 2-177 
 
 289-09 
 
 36-16 
 
 152-66 
 
 66-30 
 
 0-32 
 
 2-90 
 
 1 905 
 
 168-55562 
 
 5-51965 
 
 84 
 
 3-32 
 
 2-441 
 
 I74II 
 
 2-398 
 
 253-93 
 
 4O2"l6 
 
 36-36 
 
 432-30 
 
 O'lO 
 
 I- 5 6 
 
 19060 
 
 90-34363 
 
 3'87'44 
 
 44 
 
 1-98 
 
 1-499 
 
 0-9445 
 
 1-620 
 
 21778 
 
 309-49 
 
 401-36 
 
 3I17I 
 
 0-64 
 
 2-71 
 
 19O7-O 
 
 12-13164 
 
 2-22323 
 
 04 
 
 0-64 
 
 0-558 
 
 0-1480 
 
 0-842 
 
 I8I-62 
 
 216-81 
 
 284-06 
 
 I9I-I2 
 
 1-19 
 
 0-37 
 
 *19O8'O 
 
 293-91965 
 
 0-57501 
 
 0-65 
 
 2-85 
 
 3-169 
 
 2-9028 
 
 0-063 
 
 145-46 
 
 124-14 
 
 16676 
 
 70-53 
 
 '73 
 
 1-52 
 
 19090 
 
 317-08242 
 
 6-97773 
 
 1-25 
 
 2-51 
 
 3-227 
 
 3-1062 
 
 0-285 
 
 I 1O-31 
 
 32-46 
 
 50-46 
 
 436-53 
 
 1-51 
 
 0-18 
 
 191O-O 
 
 238-87043 
 
 5-32952 
 
 0-85 
 
 1-17 
 
 2-286 
 
 2-3096 
 
 3-058 
 
 74-I5 
 
 397-46 
 
 415-46 
 
 3I5-94 
 
 0-29 
 
 '"33 
 
 1911 
 
 160-65844 
 
 3-68131 
 
 0-46 
 
 3-38 
 
 '"344 
 
 I-5I30 
 
 2-280 
 
 37-99 
 
 304-79 
 
 298-15 
 
 195-35 
 
 0-83 
 
 2-48 
 
 *1912-O 
 
 82-44645 
 
 2-03310 
 
 0-06 
 
 2-04 
 
 0-403 
 
 0-7164 
 
 1-501 
 
 1-84 
 
 2I2'I I 
 
 180-85 
 
 74-76 
 
 1-38 
 
 0-14 
 
 19130 
 
 105-60922 
 
 1-38489 
 
 0-66 
 
 170 
 
 0-461 
 
 0-9198 
 
 1-723 
 
 367-84 
 
 I2O'44 
 
 64-55 
 
 440-76 
 
 l'I| 
 
 2-29 
 
 19140 
 
 27-39723 
 
 6-78760 
 
 0*26 
 
 0-36 
 
 3-072 
 
 0-I232 
 
 0-944 
 
 33'-68 
 
 2776 
 
 429-5S 
 
 320-I7 
 
 170 
 
 3'45 
 
 19150 
 
 309-18525 
 
 5"'3939 
 
 4-38 
 
 *'57 
 
 2-131 
 
 2-8780 
 
 0-166 
 
 295-52 
 
 392-76 
 
 312-25 
 
 199-58 
 
 0-47 
 
 rn 
 
 *19160 
 
 230-97326 
 
 3-49118 
 
 3-98 
 
 1-23 
 
 1-189 
 
 2-0814 
 
 2 - 939 
 
 259-37 
 
 3OO-O9 
 
 '94'95 
 
 78-99 
 
 i -02 
 
 2-26 
 
 19170 
 
 254-13603 
 
 2-84297 
 
 0-07 
 
 0-89 
 
 1-247 
 
 2-2848 
 
 3-161 
 
 224*21 
 
 208-41 
 
 78-65 
 
 444^9 
 
 0-80 
 
 0-92 
 
 19180 
 
 175-92404 
 
 1-19476 
 
 4-19 
 
 3-10 
 
 0-306 
 
 1-4882 
 
 2-382 
 
 188-05 
 
 11 574 
 
 443-65 
 
 324-40 
 
 ''34 
 
 2-07 
 
 191 9-O 
 
 97-71205 
 
 6-59748 
 
 379 
 
 1-76 
 
 2-917 
 
 0-6916 
 
 1-604 
 
 151-90 
 
 23-06 
 
 326-34 
 
 203-81 
 
 O-I2 
 
 3-22 
 
 *1 920-0 
 
 19-50006 
 
 4-94927 
 
 3'39 
 
 0-42 
 
 1-976 
 
 3^465 
 
 0-826 
 
 11574 
 
 388-06 
 
 209-04 
 
 83-22 
 
 0-66 
 
 0-88 
 
 1921 O 
 
 42-66283 
 
 4-30106 
 
 4-00 
 
 0-07 
 
 2-034 
 
 0-0985 
 
 1-047 
 
 80-58 
 
 296-39 
 
 9 2 74 
 
 449-22 
 
 0-44 
 
 3-03 
 
 1 922 O 
 
 324-45084 
 
 2-65285 
 
 3-60 
 
 2-29 
 
 1-092 
 
 2-8533 
 
 0-269 
 
 44-42 
 
 20371 
 
 45774 
 
 328-63 
 
 0-98 
 
 0-69 
 
 1923-O 
 
 246-23885 
 
 i -00464 
 
 3-20 
 
 0-95 
 
 0-151 
 
 2-0567 
 
 3-042 
 
 8-27 
 
 1 1 1*04 
 
 340'44 
 
 208-05 
 
 '53 
 
 1-84 
 
 *19240 
 
 168-02686 
 
 6-40735 
 
 2-81 
 
 3-16 
 
 2-762 
 
 I-26OI 
 
 2-263 
 
 373-27 
 
 18-36 
 
 223-14 
 
 87H6 
 
 0-31 
 
 3*oo 
 
 1925O 
 
 191-18963 
 
 5759H 
 
 3-4i 
 
 2-82 
 
 2-820 
 
 1-4635 
 
 2-485 
 
 338-II 
 
 384-36 
 
 106-83 
 
 453^6 
 
 0-08 
 
 1-66 
 
 1926-0 
 
 112-97764 
 
 4-11093 
 
 3-01 
 
 1-48 
 
 1-879 
 
 0-6669 
 
 1-707 
 
 30I-95 
 
 291-69 
 
 47I-83 
 
 33287 
 
 0-63 
 
 2-81 
 
 1927 O 
 
 3476565 
 
 2-46272 
 
 2-62 
 
 0-13 
 
 0-937 
 
 3-42I7 
 
 0-928 
 
 26579 
 
 199-01 
 
 354'53 
 
 212-28 
 
 1-17 
 
 0-47 
 
 *1928O 
 
 316-55365 
 
 0-81451 
 
 2-22 
 
 2'35 
 
 3-548 
 
 2-6251 
 
 0-150 
 
 229-64 
 
 106-34 
 
 *37'23 
 
 91-69 
 
 172 
 
 1-62 
 
 1929 
 
 33971644 
 
 0-16630 
 
 2-82 
 
 2-01 
 
 0-054 
 
 2-8285 
 
 0-372 
 
 194-48 
 
 14-66 
 
 120-93 
 
 457-69 
 
 '49 
 
 0-28 
 
 1 930-0 
 
 261-50445 
 
 5-56901 
 
 2-43 
 
 0-66 
 
 2-665 
 
 2-03I9 
 
 3-H4 
 
 158-32 
 
 379-66 
 
 3-63 
 
 337-10 
 
 0-27 
 
 ''43 
 
 1931 
 
 183-29246 
 
 3-92080 
 
 2-03 
 
 2-88 
 
 1724 
 
 '2353 
 
 2-366 
 
 122-17 
 
 286-99 
 
 368-63 
 
 216-51 
 
 0-81 
 
 2-58 
 
 *1932O 
 
 105-08047 
 
 2-27259 
 
 ,-6 3 
 
 '54 
 
 0-782 
 
 0-43 8 7 
 
 1-588 
 
 86-01 
 
 194-32 
 
 251-32 
 
 95^2 
 
 1-36 
 
 0-24 
 
 1933 O 
 
 128-24324 
 
 1-62438 
 
 2-24 
 
 1-19 
 
 0-841 
 
 0-6421 
 
 1-809 
 
 50-85 
 
 102-64 
 
 135-02 
 
 461-92 
 
 1-14 
 
 2-39 
 
 1 934-O 
 
 50-03125 
 
 7-02710 
 
 1-84 
 
 3'4' 
 
 3-452 
 
 3-3970 
 
 1-031 
 
 1470 
 
 9^7 
 
 1772 
 
 34I-33 
 
 1-68 
 
 0-05 
 
 1 9350 
 
 331-81926 
 
 5-37889 
 
 1-44 
 
 2-07 
 
 2-510 
 
 2-6OO4 
 
 0-253 
 
 37970 
 
 374'97 
 
 38272 
 
 22074 
 
 0-47 
 
 I -2 I 
 
 T 19360 
 
 253-60727 
 
 3-73068 
 
 1-05 
 
 072 
 
 i 569 
 
 1-8038 
 
 3-026 
 
 343-54 
 
 282-29 
 
 265-42 
 
 IOO-I5 
 
 roo 
 
 2- 3 6 
 
 19370 
 
 27677004 
 
 3-08247 
 
 I-6 S 
 
 0-38 
 
 1-627 
 
 2-OO72 
 
 3-247 
 
 308-38 
 
 190-62 
 
 149-12 
 
 466-15 
 
 078 
 
 I -O2 
 
 1 938 
 
 198-55805 
 
 1-43426 
 
 1-25 
 
 2-60 
 
 0-685 
 
 1-2106 
 
 2-469 
 
 272-23 
 
 97^4 
 
 31-81 
 
 345-56 
 
 1-32 
 
 2-17 
 
 1 9390 
 
 120-34606 
 
 6-83697 
 
 0-86 
 
 1-25 
 
 3-297 
 
 0-4140 
 
 1-690 
 
 236-07 
 
 5-27 
 
 396-81 
 
 224-97 
 
 O'lO 
 
 3-32 
 
 * 1940-0 
 
 42-13407 
 
 5-18876 
 
 0-46 
 
 3-47 
 
 2'355 
 
 3-1688 
 
 0-912 
 
 199-91 
 
 370-27 
 
 279-51 
 
 104-38 
 
 0-64 
 
 0-98 
 
 1 941 
 
 65-29684 
 
 4'54S5 
 
 i -06 
 
 3-13 
 
 2-414 
 
 3-3722 
 
 1-134 
 
 16475 
 
 278-59 
 
 163-21 
 
 470-38 
 
 0-42 
 
 3-I3 
 
 1 942 O 
 
 347-08486 
 
 2-89234 
 
 0-67 
 
 1-78 
 
 I-472 
 
 2-5756 
 
 0-355 
 
 128-60 
 
 185-92 
 
 45'9' 
 
 34979 
 
 0-97 
 
 079 
 
 1 943-O 
 
 268-87287 
 
 1-24413 
 
 0-27 
 
 0-44 
 
 0-530 
 
 17790 
 
 3-128 
 
 94-44 
 
 93-24 
 
 410-91 
 
 229-20 
 
 1-51 
 
 '"94 
 
 * 1 944-0 
 
 190-66088 
 
 6-64685 
 
 4-38 
 
 2-66 
 
 3"'4 2 
 
 0-9824 
 
 2-350 
 
 56-28 
 
 0-57 
 
 293-61 
 
 108-61 
 
 0-29 
 
 3'10 
 
 1 945 
 
 213-82365 
 
 5-99864 
 
 0-47 
 
 2-31 
 
 3-200 
 
 1-1858 
 
 2-572 
 
 21-13 
 
 366-57 
 
 177-31 
 
 474-61 
 
 0-06 
 
 I 7 6 
 
 1946-0 
 
 135-61 166 
 
 4-35042 
 
 0-08 
 
 0-97 
 
 2-258 
 
 0-3892 
 
 1793 
 
 386-13 
 
 273-89 
 
 60-00 
 
 354-oi 
 
 0-61 
 
 2 9 I 
 
 1 947 
 
 57-3996" 
 
 2-70221 
 
 4-19 
 
 3-19 
 
 i'3'7 
 
 3-144' 
 
 1-015 
 
 349-97 
 
 181-22 
 
 425-00 
 
 233-43 
 
 rij 
 
 0-57 
 
 *1 948 O 
 
 339-18768 
 
 1-05400 
 
 3-80 
 
 1-84 
 
 0-375 
 
 2-3475 
 
 0-236 
 
 313-81 
 
 88-54 
 
 307-70 
 
 112-84 
 
 170 
 
 1-72 
 
 1 949-O 
 
 2-35 45 
 
 0-40579 
 
 4-40 
 
 1-50 
 
 0-434 
 
 2-5509 
 
 0-458 
 
 278-66 
 
 454-54 
 
 191-40 
 
 478-84 
 
 ''47 
 
 0-38 
 
 1 9500 
 
 284-13846 
 
 5-80851 
 
 4-00 
 
 0-16 
 
 3-045 
 
 '7543 
 
 3-231 
 
 242-50 
 
 361-87 
 
 74-10 
 
 358-25 
 
 0-25 
 
 ''53 
 
 Periods 
 
 
 7-05093 
 
 4-5I 
 
 3-56 
 
 3'553 
 
 3-55I4 
 
 3'55' 
 
 40 1 1 6 
 
 457-67 
 
 482-30 
 
 485-S9 
 
 '77 
 
 3-50 
 
 Constant applied to each entry In Column 2 : - 1 31000. 
 78 
 
SATELLITE II 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 IX continued Values at Epoch of Mean Longitude and the Arguments 
 
 15 
 
 16 
 
 '7 
 
 il 
 
 >9 
 
 zo 
 
 21 
 
 22 
 
 *3 
 
 *4 
 
 *5 
 
 26 
 
 *7 
 
 i 
 
 M 
 
 N 
 
 o 
 
 P 
 
 Q 
 
 R 
 
 s 
 
 T 
 
 u 
 
 V 
 
 w 
 
 X 
 
 Y 
 
 z 
 
 d 
 
 d 
 
 d 
 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 3'lSl 
 
 i-62 
 
 2'2O 
 
 19000 
 
 I-4I554 
 
 I-54I1 
 
 ''393 
 
 1-16 
 
 1-66655 
 
 0*7 
 
 '370 
 
 0-91 
 
 27 
 
 3'0 
 
 0-693 
 
 O'll 
 
 171 
 
 1901 
 
 0-64390 
 
 0-8285 
 
 0-634 
 
 0-39 
 
 I-OI298 
 
 0*4 
 
 0*624 
 
 0-14 
 
 o-i 
 
 1-6 
 
 1706 
 
 I-I I 
 
 1-23 
 
 1 902 
 
 3-42344 
 
 0-1159 
 
 1-651 
 
 1-40 
 
 0-35942 
 
 O*I 
 
 3-428 
 
 2-93 
 
 0- 9 
 
 0*3 
 
 2718 
 
 2'IO 
 
 0-74 
 
 1 903 
 
 2-65179 
 
 I-1786 
 
 0-892 
 
 0-63 
 
 3-25588 
 
 3-4 
 
 2*682 
 
 2-I 7 
 
 1-8 
 
 *'4 
 
 O'23I 
 
 3'10 
 
 O-26 
 
 *19040 
 
 I-880I5 
 
 0-4660 
 
 0-132 
 
 1-64 
 
 2-6O231 
 
 3-1 
 
 1-936 
 
 I-40 
 
 27 
 
 1*1 
 
 2-243 
 
 I-5 9 
 
 0-77 
 
 1 905 
 
 2-IO85I 
 
 07534 
 
 0-374 
 
 0-09 
 
 2-94874 
 
 0-3 
 
 2*189 
 
 I-6 3 
 
 ri 
 
 07 
 
 3-256 
 
 2-59 
 
 0-29 
 
 19060 
 
 1-33686 
 
 0-0408 
 
 1-390 
 
 l-IO 
 
 2-295I7 
 
 0*0 
 
 '"443 
 
 0-87 
 
 1-9 
 
 2*9 
 
 0768 
 
 0-08 
 
 3-38 
 
 1 9070 
 
 0-56522 
 
 I-I035 
 
 0-631 
 
 0-33 
 
 1*64161 
 
 3-2 
 
 0-697 
 
 o-io 
 
 2-8 
 
 '5 
 
 I-ySO 
 
 I -08 
 
 2-90 
 
 * 190 80 
 
 3-34476 
 
 0-3909 
 
 1-648 
 
 '"34 
 
 0-98804 
 
 2*9 
 
 3-50 1 
 
 2-89 
 
 O-2 
 
 O*I 
 
 0-293 
 
 3-07 
 
 3-4I 
 
 1909 
 
 0-O2I94 
 
 0-6783 
 
 0-II3 
 
 1-57 
 
 1-33447 
 
 O*I 
 
 0-205 
 
 3*12 
 
 2-O 
 
 3'3 
 
 'SOS 
 
 0-56 
 
 2-93 
 
 19100 
 
 2-8OI47 
 
 I-74IO 
 
 1-130 
 
 0-80 
 
 0-68090 
 
 3-4 
 
 3-009 
 
 2-36 
 
 2'9 
 
 2*0 
 
 2-318 
 
 I- 5 6 
 
 2-44 
 
 1911 
 
 2-02983 
 
 1-0284 
 
 0-371 
 
 0-03 
 
 0-02733 
 
 3'i 
 
 2-262 
 
 1*59 
 
 0-3 
 
 0*6 
 
 3-330 
 
 2'55 
 
 1-95 
 
 *1912*O 
 
 1-25819 
 
 0-3158 
 
 1-387 
 
 1-04 
 
 2-92380 
 
 2-8 
 
 1*516 
 
 0*83 
 
 1-2 
 
 2-8 
 
 1-844 
 
 1-05 
 
 2-47 
 
 1913 
 
 1-48655 
 
 0-6033 
 
 1-628 
 
 1-27 
 
 3-27023 
 
 3'5 
 
 1-770 
 
 i -06 
 
 3-0 
 
 *'4 
 
 2-856 
 
 2-O4 
 
 9 8 
 
 19140 
 
 071490 
 
 1-666O 
 
 0-869 
 
 0-50 
 
 2-61666 
 
 3'2 
 
 1-023 
 
 0-30 
 
 0-4 
 
 I'D 
 
 0-368 
 
 3'4 
 
 50 
 
 19150 
 
 3H9444 
 
 0-9534 
 
 o-iio 
 
 1-51 
 
 1-96309 
 
 2*9 
 
 0-277 
 
 3-08 
 
 1-3 
 
 3*2 
 
 1-381 
 
 o-53 
 
 oi 
 
 '19160 
 
 2-72280 
 
 0-2408 
 
 1-127 
 
 0-74 
 
 1-30952 
 
 2*6 
 
 3-081 
 
 2*32 
 
 2'1 
 
 r8 
 
 3-393 
 
 2'53 
 
 52 
 
 19170 
 
 2-951 16 
 
 0-5282 
 
 1-368 
 
 0-97 
 
 1-65595 
 
 3-3 
 
 3-335 
 
 *-55 
 
 0-5 
 
 1-5 
 
 0-906 
 
 0'02 
 
 4 
 
 19180 
 
 2-17951 
 
 1-5909 
 
 0-609 
 
 O'2I 
 
 1-00238 
 
 3-0 
 
 2-589 
 
 1-79 
 
 '4 
 
 o-i 
 
 1-918 
 
 I'OI 
 
 0-55 
 
 1919 
 
 1-40787 
 
 0-8783 
 
 1-625 
 
 I-2I 
 
 0-34881 
 
 2-8 
 
 1-842 
 
 1-02 
 
 *'3 
 
 2*3 
 
 2-930 
 
 2-OI 
 
 0-07 
 
 * 1 920 
 
 0-63623 
 
 0-1657 
 
 0-866 
 
 0-44 
 
 3-24528 
 
 2-5 
 
 1-096 
 
 O-26 
 
 3-' 
 
 0-9 
 
 1-443 
 
 0-50 
 
 0-58 
 
 1921 
 
 0-86458 
 
 0-4531 
 
 1-107 
 
 0-68 
 
 0-04168 
 
 3'* 
 
 1*350 
 
 0-49 
 
 1-5 
 
 '5 
 
 2-455 
 
 I- 5 
 
 O'lO 
 
 19220 
 
 0-09294 
 
 I-5I58 
 
 0-348 
 
 1-68 
 
 2-93814 
 
 2-9 
 
 0-603 
 
 3-28 
 
 *'4 
 
 27 
 
 3-468 
 
 2-49 
 
 3-19 
 
 1 923 
 
 2-87248 
 
 0-8032 
 
 1-365 
 
 0-91 
 
 2*28457 
 
 2-6 
 
 3-408 
 
 2-51 
 
 3'* 
 
 i'3 
 
 0-980 
 
 3'49 
 
 271 
 
 *1924'O 
 
 2-10084 
 
 0-0906 
 
 0-606 
 
 0-15 
 
 1-63100 
 
 2-3 
 
 2-662 
 
 175 
 
 0-6 
 
 3'5 
 
 2-993 
 
 1-98 
 
 3-22 
 
 1925 
 
 2-32919 
 
 0-3780 
 
 0-847 
 
 0-38 
 
 1-97743 
 
 3-o 
 
 2*915 
 
 1-98 
 
 2'5 
 
 3'2 
 
 0-505 
 
 2-98 
 
 2-74 
 
 1 9260 
 
 '55755 
 
 1-4407 
 
 0-088 
 
 1-38 
 
 1-32387 
 
 2*7 
 
 2-169 
 
 1-21 
 
 3'4 
 
 1-8 
 
 1-517 
 
 0-47 
 
 2-25 
 
 1 927 O 
 
 078591 
 
 0-7281 
 
 1-104 
 
 0-62 
 
 0-67029 
 
 2*5 
 
 1-423 
 
 0-45 
 
 07 
 
 0-4 
 
 2-530 
 
 I- 47 
 
 ,76 
 
 *19280 
 
 0-01427 
 
 0-0155 
 
 o-345 
 
 1-62 
 
 0-01673 
 
 2*2 
 
 0*676 
 
 3-23 
 
 1-6 
 
 2-6 
 
 1-042 
 
 3-45 
 
 2-28 
 
 1 929-0 
 
 0-24262 
 
 0-3029 
 
 o 586 
 
 0-08 
 
 0*36316 
 
 2- 9 
 
 0-930 
 
 3'47 
 
 o-o 
 
 2-2 
 
 2-055 
 
 0-95 
 
 179 
 
 1 930-0 
 
 3-02216 
 
 1-3656 
 
 1-603 
 
 1-09 
 
 3-25962 
 
 2-6 
 
 0*184 
 
 2-70 
 
 0-9 
 
 0- 9 
 
 3-067 
 
 ''95 
 
 1-31 
 
 1931 
 
 2-25052 
 
 0-6530 
 
 0-844 
 
 0-32 
 
 2*60606 
 
 2-3 
 
 2*988 
 
 '94 
 
 1-7 
 
 3"0 
 
 0-580 
 
 2-94 
 
 0-82 
 
 * 19320 
 
 1-47888 
 
 I-7I57 
 
 0-085 
 
 i-33 
 
 1-95249 
 
 2'0 
 
 2*242 
 
 1-17 
 
 2-6 
 
 17 
 
 2-592 
 
 1-44 
 
 '34 
 
 19330 
 
 170723 
 
 0-2278 
 
 0-326 
 
 1-56 
 
 2-29892 
 
 *7 
 
 2*496 
 
 1*41 
 
 i-o 
 
 1-3 
 
 0-104 
 
 2-43 
 
 0-85 
 
 19340 
 
 0-93559 
 
 1-2905 
 
 i'34 2 
 
 0-79 
 
 1-64535 
 
 2 '4 
 
 1749 
 
 0-64 
 
 1-8 
 
 3-5 
 
 1-117 
 
 3-43 
 
 0-36 
 
 1 935-O 
 
 0-16395 
 
 0-5779 
 
 0-583 
 
 O-O2 
 
 0-99178 
 
 2'I 
 
 1*003 
 
 3-43 
 
 27 
 
 2'I 
 
 2-129 
 
 0-92 
 
 3-46 
 
 * 19360 
 
 2-94349 
 
 1-6406 
 
 i -600 
 
 1-03 
 
 0-33821 
 
 1*9 
 
 0*257 
 
 2*66 
 
 o-i 
 
 07 
 
 0-642 
 
 2-92 
 
 0-39 
 
 1 937-O 
 
 3-17184 
 
 0-1527 
 
 0-065 
 
 1-26 
 
 0-68464 
 
 2-6 
 
 0*510 
 
 2-90 
 
 2-O 
 
 0-4 
 
 1-654 
 
 0-41 
 
 3-49 
 
 1 938 
 
 2-40020 
 
 1-2154 
 
 1-082 
 
 0-49 
 
 0-03107 
 
 2-3 
 
 3'3'5 
 
 2*13 
 
 2-8 
 
 *'5 
 
 2-667 
 
 1-40 
 
 3-00 
 
 1 939-O 
 
 1-62856 
 
 0-5028 
 
 0-323 
 
 I-50 
 
 2-92754 
 
 2'0 
 
 2*569 
 
 1*37 
 
 O-2 
 
 1-2 
 
 0-180 
 
 2-40 
 
 2-52 
 
 '19400 
 
 0-85691 
 
 1-5656 
 
 i'34 
 
 073 
 
 2-27397 
 
 17 
 
 1*822 
 
 0*60 
 
 1*1 
 
 3'4 
 
 2-192 
 
 0-89 
 
 3 '03 
 
 1 941 
 
 1-08527 
 
 0-0777 
 
 1-581 
 
 0-96 
 
 2-62040 
 
 2-4 
 
 2*076 
 
 0*84 
 
 2- 9 
 
 3-0 
 
 3-205 
 
 1-89 
 
 2-55 
 
 1 942 
 
 0-31363 
 
 I-I404 
 
 0-822 
 
 0-19 
 
 1-96683 
 
 2-1 
 
 i'33 
 
 0*07 
 
 0-3 
 
 1-6 
 
 0717 
 
 2-88 
 
 2-06 
 
 1 943 
 
 3-09317 
 
 0-4278 
 
 0-063 
 
 I -2O 
 
 1-31326 
 
 1-8 
 
 0-583 
 
 2-86 
 
 1-2 
 
 O-2 
 
 1730 
 
 0-38 
 
 i '57 
 
 * 19440 
 
 2-32152 
 
 1-4905 
 
 1-079 
 
 0-43 
 
 0-65969 
 
 1-5 
 
 3-388 
 
 2-09 
 
 2'I 
 
 2'4 
 
 0*242 
 
 2-37 
 
 2-09 
 
 19450 
 
 2-54988 
 
 O-O026 
 
 1-320 
 
 0-66 
 
 I '006 I 2 
 
 2-3 
 
 0-091 
 
 *'33 
 
 0*4 
 
 2-1 
 
 1-255 
 
 3'37 
 
 i -60 
 
 1 946 
 
 177824 
 
 1-0653 
 
 0-561 
 
 ,-67 
 
 0-35256 
 
 2-O 
 
 2-895 
 
 1-56 
 
 '3 
 
 0-7 
 
 2-267 
 
 0-86 
 
 I-I2 
 
 1 947 
 
 i -00660 
 
 0-3527 
 
 1-578 
 
 0-90 
 
 3-24902 
 
 1-7 
 
 2-149 
 
 o*79 
 
 2*2 
 
 2-9 
 
 3^79 
 
 1-85 
 
 0-63 
 
 19480 
 
 0-23495 
 
 1-4154 
 
 0-819 
 
 0-13 
 
 *'5954S 
 
 I "4 
 
 1-402 
 
 0-03 
 
 3' 
 
 '5 
 
 1-792 
 
 0-35 
 
 fit 
 
 1 949 
 
 0-46331 
 
 1-7028 
 
 i -060 
 
 0-36 
 
 2*94188 
 
 2*1 
 
 1-656 
 
 0-26 
 
 '4 
 
 1*1 
 
 2-804 
 
 ''34 
 
 0-66 
 
 1950 
 
 3-24285 
 
 0-9902 
 
 0-301 
 
 i'37 
 
 2*28831 
 
 i*8 
 
 0-910 
 
 3'05 
 
 2'3 
 
 3'3 
 
 3-500 
 
 3-50 
 
 3-58 
 
 Periods 
 
 3'55>'8 
 
 '7753 
 
 1776 
 
 178 
 
 3-55003 
 
 3-5 
 
 3'55' 
 
 3'SS 
 
 rs 
 
 3-6 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 To find the True Longitude, reduced to Jupiter's Orbit, the entries of Column 2 must be supplemented by the equations of Tables XII-XXXII. 
 
 79 
 
SATELLITE II 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 IX continued Values at Epoch of Mean Longitude and the Arguments 
 
 I 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 8 
 
 9 
 
 IO 
 
 ii 
 
 12 
 
 13 14 
 
 Date Mean Long. 
 
 A 
 
 B 
 
 c 
 
 D 
 
 E F 
 
 G H 
 
 1 
 
 J 
 
 K 
 
 L 
 
 
 O 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 1 9500 
 
 284*13846 
 
 5-80851 
 
 4'OO 
 
 0-16 
 
 3-045 
 
 17543 
 
 3' 2 3' 
 
 242-50 
 
 361-87 
 
 74-10 
 
 358-25 
 
 0-25 
 
 ''S3 
 
 1951 O 
 
 205-92647 
 
 4-16030 
 
 1-61 
 
 2-38 
 
 2-103 
 
 0-9577 
 
 2 '453 
 
 206-34 
 
 269-19 
 
 439" 10 
 
 237-66 
 
 0-80 
 
 z-68 
 
 *1952'O 
 
 127*71448 
 
 2*5I2O9 
 
 3-21 
 
 1-03 
 
 I-l62 
 
 o - i6ii 
 
 1-674 
 
 170-19 
 
 176-52 
 
 321-80 
 
 II7-07 
 
 i-34 
 
 0-34 
 
 19530 
 
 150*87725 
 
 1*86388 
 
 3-81 
 
 0-69 
 
 I*22O 
 
 0-3645 
 
 1-896 
 
 135-03 
 
 84-84 
 
 205-49 
 
 483-07 
 
 1*12 
 
 2-49 
 
 19540 
 
 72-66526 
 
 0-21567 
 
 3-4 1 
 
 2*91 
 
 0-278 
 
 3"'93 
 
 1-118 
 
 98-87 
 
 449-84 
 
 88-19 
 
 362-48 
 
 1-66 
 
 0-15 
 
 1 955-O 
 
 354-45327 
 
 5-61838 
 
 3-02 
 
 1-56 
 
 2-890 
 
 2-3227 
 
 o-339 
 
 6272 
 
 357-17 
 
 453-9 
 
 241-89 
 
 0-44 
 
 i'3' 
 
 *1 956-0 
 
 276-24128 
 
 3-97017 
 
 2-61 
 
 O'22 
 
 I-948 
 
 1-5261 
 
 3-112 
 
 26-56 
 
 264-49 
 
 335-89 
 
 121-30 
 
 0-98 
 
 2-46 
 
 19570 
 
 299-40406 
 
 3-32196 
 
 3-22 
 
 3-44 
 
 2-OO7 
 
 1-7295 
 
 3-334 
 
 392-56 
 
 172-82 
 
 219-59 
 
 171 
 
 0-76 
 
 I'I2 
 
 1 958 
 
 221*19207 
 
 1-67375 
 
 2-83 
 
 2-09 
 
 1-065 
 
 0-9329 
 
 2 '555 
 
 356-40 
 
 80-14 
 
 102*29 
 
 366-71 
 
 1-30 
 
 2-27 
 
 19590 
 
 142-98008 
 
 0*02554 
 
 2-43 
 
 075 
 
 0-I23 
 
 0-1363 
 
 i-777 
 
 320-24 
 
 445'H 
 
 467-29 
 
 246-12 
 
 0-08 
 
 3H2 
 
 *196O'O 
 
 64-76809 
 
 5-42826 
 
 2-03 
 
 2-97 
 
 2 73S 
 
 2-8912 
 
 0-999 
 
 284-09 
 
 35 2 -47 
 
 349'9 8 
 
 >25-53 
 
 0-63 
 
 I -08 
 
 1961-0 
 
 87-93086 
 
 478005 
 
 2-64 
 
 2-62 
 
 2793 
 
 3-0946 
 
 I'22O 
 
 H8-93 
 
 260-79 
 
 233-68 
 
 5-94 
 
 0*40 
 
 3-23 
 
 1962 
 
 9-71887 
 
 3-13183 
 
 2-24 
 
 1-28 
 
 1-851 
 
 2-2980 
 
 0-442 
 
 212-77 
 
 168-12 
 
 116-38 
 
 370-94 
 
 0-95 
 
 0-89 
 
 19630 
 
 291-50688 
 
 1-48362 
 
 i 84 
 
 3-50 
 
 0-910 
 
 1-5014 
 
 3' 2 i5 
 
 176-62 
 
 75-45 
 
 481-38 
 
 250-35 
 
 1-49 
 
 2-04 
 
 *1964O 
 
 213-29489 
 
 6-88634 
 
 i'45 
 
 2-15 
 
 J'5* 
 
 0-7048 
 
 2-436 
 
 140-46 
 
 440-45 
 
 364-08 
 
 129-76 
 
 0-27 
 
 3"20 
 
 1 965 O 
 
 236-45766 
 
 6-23813 
 
 2-05 
 
 1-81 
 
 0-027 
 
 0-9082 
 
 2-658 
 
 105-30 
 
 348-77 
 
 247-78 
 
 10-17 
 
 0-04 
 
 1-86 
 
 19660 
 
 158*24567 
 
 4-58992 
 
 1-65 
 
 0-47 
 
 2-638 
 
 o-i 1 1 6 
 
 1-880 
 
 69-15 
 
 256-10 
 
 130-48 
 
 375-I7 
 
 0-59 
 
 3-01 
 
 1967 
 
 80*03368 
 
 2-94171 
 
 1-26 
 
 2-68 
 
 1-696 
 
 2-8664 
 
 I'lOI 
 
 3Z-99 
 
 163-42 
 
 13-17 
 
 254-59 
 
 I-lj 
 
 0-67 
 
 '19680 
 
 1-82169 
 
 1-29350 
 
 0-86 
 
 I- 34 
 
 0-755 
 
 2-0698 
 
 0-323 
 
 397-99 
 
 70-75 
 
 378-I7 
 
 1 34*00 
 
 1-68 
 
 1-82 
 
 1 969 
 
 24*98447 
 
 0-64529 
 
 1-46 
 
 roo 
 
 0-813 
 
 2-2732 
 
 0-545 
 
 362-83 
 
 436-75 
 
 261-87 
 
 14*41 
 
 1*46 
 
 0-48 
 
 19700 
 
 306-77248 
 
 6-04800 
 
 1-07 
 
 3-21 
 
 3-424 
 
 1-4766 
 
 3-3i8 
 
 326-68 
 
 344-07 
 
 I44-57 
 
 379'4 
 
 0*23 
 
 1-63 
 
 1971-0 
 
 228-56049 
 
 4-39979 
 
 0-67 
 
 1-87 
 
 2-483 
 
 0-6800 
 
 2 '539 
 
 290-52 
 
 251-40 
 
 27-27 
 
 258-82 
 
 0*78 
 
 2-78 
 
 *1972'O 
 
 150*34850 
 
 275158 
 
 0*27 
 
 o-53 
 
 1-541 
 
 3-4349 
 
 f 
 1-761 
 
 254-36 
 
 15872 
 
 392-Z7 
 
 138*23 
 
 1-32 
 
 0-44 
 
 19730 
 
 173-51127 
 
 2-10337 
 
 0-88 
 
 0-19 
 
 i -600 
 
 0-0868 
 
 1-982 
 
 219-20 
 
 67-05 
 
 275-97 
 
 18*64 
 
 I*IO 
 
 2-59 
 
 19740 
 
 95-29928 
 
 0-45516 
 
 0-48 
 
 2-40 
 
 0-658 
 
 2-8417 
 
 1-204 
 
 183-05 
 
 432-05 
 
 158-66 
 
 383-64 
 
 1*64 
 
 0-25 
 
 19750 
 
 17-08729 
 
 5-85788 
 
 0-08 
 
 i -06 
 
 3-269 
 
 2-0451 
 
 0-426 
 
 146-89 
 
 339-37 
 
 41-36 
 
 263*05 
 
 0*42 
 
 1-41 
 
 *1976'O 
 
 298*87530 
 
 4*20967 
 
 4-20 
 
 3' 2 7 
 
 2-328 
 
 1-2485 
 
 3''99 
 
 II073 
 
 246-70 
 
 406-36 
 
 142-46 
 
 0*97 
 
 2-56 
 
 1977 
 
 322*03807 
 
 3*56146 
 
 0-29 
 
 2-93 
 
 2-386 
 
 1-4519 
 
 3-420 
 
 75-58 
 
 155-02 
 
 290-06 
 
 22-87 
 
 0*74 
 
 I'22 
 
 1 9780 
 
 243-82608 
 
 1*91324 
 
 4-40 
 
 1-59 
 
 1-444 
 
 0-6553 
 
 2-642 
 
 39 - 4 2 
 
 62-35 
 
 17276 
 
 387-87 
 
 1*29 
 
 *-37 
 
 19790 
 
 165-61409 
 
 0-26503 
 
 4-01 
 
 0-25 
 
 0-503 
 
 3-4101 
 
 1-864 
 
 3-26 
 
 4 2 7'35 
 
 55-4 6 
 
 267-28 
 
 0*06 
 
 O-02 
 
 *198O'O 
 
 87-40210 
 
 5^6775 
 
 3-61 
 
 2-46 
 
 3->H 
 
 2-6135 
 
 1-085 
 
 368-26 
 
 334-67 
 
 420-46 
 
 146-69 
 
 0*6 1 
 
 1-18 
 
 1 981 
 
 110*56487 
 
 5*01954 
 
 4-21 
 
 2'12 
 
 3-172 
 
 2-8169 
 
 1-307 
 
 333-n 
 
 243*00 
 
 304-15 
 
 27-10 
 
 0-38 
 
 3'33 
 
 1982O 
 
 32-35288 
 
 3-37I33 
 
 3-82 
 
 0-78 
 
 2-231 
 
 2-0203 
 
 0-528 
 
 296-95 
 
 150-32 
 
 186-85 
 
 392-10 
 
 o-93 
 
 o-99 
 
 19830 
 
 314-14089 
 
 1-72312 
 
 SH 2 
 
 2 '99 
 
 1-289 
 
 1-2237 
 
 3-301 
 
 260-79 
 
 57-65 
 
 69*55 
 
 271-51 
 
 1-47 
 
 2-14 
 
 *1984O 
 
 235-92890 
 
 0-07491 
 
 3-02 
 
 1-65 
 
 0-348 
 
 0-4271 
 
 2-523 
 
 224-64 
 
 422-65 
 
 434-55 
 
 150-92 
 
 0-25 
 
 3-30 
 
 19850 
 
 259-09168 
 
 6-47762 
 
 3-62 
 
 i'3i 
 
 0-406 
 
 0-6305 
 
 2 '745 
 
 189-48 
 
 330-97 
 
 318-25 
 
 3'33 
 
 0-03 
 
 1-96 
 
 19860 
 
 180-87969 
 
 4*82941 
 
 3' 2 3 
 
 3-52 
 
 3-017 
 
 3-3 8 54 
 
 1-966 
 
 153-32 
 
 238-30 
 
 200-95 
 
 396-33 
 
 0-57 
 
 3-11 
 
 19870 
 
 102-66770 
 
 3*l8l20 
 
 2-83 
 
 2-18 
 
 2-076 
 
 2-5888 
 
 1-188 
 
 117-16 
 
 145-62 
 
 83-64 
 
 2 75-74 
 
 1-12 
 
 0-77 
 
 *19880 
 
 24-45571 
 
 1*53299 
 
 2-43 
 
 0-84 
 
 ''34 
 
 1-7922 
 
 0-410 
 
 8roi 
 
 5 2 '95 
 
 448-64 
 
 I5S-I5 
 
 1-66 
 
 1-92 
 
 1 9890 
 
 47-61848 
 
 0*88478 
 
 3-04 
 
 0-50 
 
 1-193 
 
 1-9956 
 
 0-631 
 
 45-85 
 
 418-95 
 
 33 2 '34 
 
 35-56 
 
 "44 
 
 0-58 
 
 1 990 
 
 329-40649 
 
 6-28750 
 
 2-64 
 
 2-71 
 
 0-251 
 
 1-1990 
 
 3-404 
 
 9-69 
 
 326-27 
 
 215-04 
 
 400-56 
 
 0*21 
 
 1-73 
 
 1991-0 
 
 251-19450 
 
 4-63929 
 
 2-24 
 
 i-37 
 
 2-862 
 
 0*4024 
 
 2-626 
 
 374^9 
 
 233-60 
 
 9774 
 
 279-97 
 
 0*76 
 
 2-88 
 
 *1992'O 
 
 172*98251 
 
 2*99108 
 
 1-85 
 
 0-03 
 
 1-921 
 
 3'i572 
 
 1-847 
 
 338-54 
 
 140-92 
 
 462*74 
 
 159-38 
 
 1*30 
 
 0-54 
 
 19930 
 
 196-14528 
 
 2*34287 
 
 2-45 
 
 324 
 
 1-979 
 
 3-3606 
 
 2-069 
 
 303-38 
 
 49-25 
 
 34 6 -44 
 
 3979 
 
 1*08 
 
 2-69 
 
 19940 
 
 117-93329 
 
 0-69465 
 
 2-05 
 
 1-90 
 
 1-037 
 
 2-5640 
 
 1-291 
 
 267-22 
 
 414-25 
 
 229-14 
 
 404-79 
 
 1*63 
 
 o-35 
 
 19950 
 
 39-72130 
 
 6*09737 
 
 1-66 
 
 0-56 
 
 0-096 1-7674 
 
 0-512 
 
 231-07 
 
 321-58 
 
 111-83 
 
 284-20 
 
 0-40 
 
 1-51 
 
 * 19960 
 
 321-50931 
 
 4*44916 
 
 1-26 
 
 2-77 
 
 2-707 
 
 0-9708 
 
 3' 2 8S 
 
 194-91 
 
 228-90 
 
 476-83 
 
 163-61 
 
 0-95 
 
 2-66 
 
 1 997-O 
 
 344-67209 
 
 3*80095 
 
 1-86 
 
 2< 43 
 
 2-766 
 
 1-1742 
 
 3-507 
 
 '5975 
 
 i37- 2 3 
 
 360-53 
 
 44-02 
 
 0-72 
 
 1*32 
 
 1 998 O 
 
 266-46010 
 
 2-15274 
 
 1-47 
 
 1-09 
 
 1-824 
 
 0-3776 
 
 2-728 
 
 123-60 
 
 44-55 
 
 243-23 
 
 409-02 
 
 1*27 
 
 2-47 
 
 1 999-0 
 
 188-24811 
 
 0-50453 
 
 1-07 
 
 3"30 
 
 0-882 
 
 3 -I 3 2 5 
 
 1-950 
 
 87H4 
 
 49' 5 5 
 
 125-93 
 
 288-43 
 
 0*04 
 
 0*13 
 
 *2000O 
 
 110-03612 
 
 5*90724 
 
 0-67 
 
 1-96 
 
 3-494 
 
 2 '3359 
 
 1-172 
 
 51-28 
 
 316-88 
 
 8-63 
 
 167-84 
 
 0*59 
 
 1*28 
 
 Periods 
 
 ... 
 
 7-05093 
 
 4-5i 
 
 4-56 
 
 3'5S3 
 
 S-SSH 
 
 3'SS 1 
 
 401-16 
 
 457^7 
 
 482-30 485-59 
 
 1*77 
 
 3-50 
 
 Constant applied to each entry in Column 2 : - i 4 3iooo. 
 80 
 
SATELLITE II 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 IX continued Values at Epoch of Mean Longitude and the Arguments 
 
 5 
 
 16 
 
 17 
 
 iS 
 
 '9 
 
 20 
 
 21 
 
 22 
 
 *3 
 
 24 
 
 25 
 
 26 
 
 *7 
 
 28 
 
 M 
 
 N 
 
 
 
 p 
 
 Q 
 
 R 
 
 s 
 
 T 
 
 u 
 
 V 
 
 W 
 
 X 
 
 Y 
 
 Z 
 
 i 
 
 d 
 
 d 
 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 2-804 
 
 i-34 
 
 0-66 
 
 1 950 
 
 3-24285 
 
 0-9902 
 
 0-301 
 
 '37 
 
 2-28831 
 
 1-8 
 
 0-910 
 
 3^5 
 
 2-3 
 
 3'3 
 
 0-317 
 
 2'34 
 
 0-17 
 
 1 951 
 
 2-47I2I 0-2776 
 
 I-317 
 
 o - 6o 
 
 J-63475 
 
 i'5 
 
 0-164 
 
 2-28 
 
 3'2 
 
 I'9 
 
 i-3*9 
 
 3'33 
 
 3-27 
 
 *1952-O 1-69956 i'3403 
 
 0-558 
 
 1-61 
 
 0-981 18 
 
 1-2 
 
 2 968 
 
 I-52 
 
 0-5 
 
 0-6 
 
 3'34 
 
 1-83 
 
 O"2O 
 
 1 9530 
 
 1-92792 
 
 I-6277 
 
 0-799 
 
 0-07 
 
 1-32761 
 
 ''9 
 
 3'222 
 
 '75 
 
 2'4 
 
 0-2 
 
 0-854 
 
 2-82 
 
 3-30 
 
 1 954 
 
 1-15628 
 
 0-9151 
 
 0-040 
 
 1-07 
 
 0-67404 
 
 >7 
 
 2-475 
 
 "99 
 
 3'3 
 
 2'4 
 
 1-866 
 
 0-32 
 
 2-8l 
 
 1955O 0-38463 j 0-2025 
 
 1-057 
 
 0-30 
 
 0-02047 
 
 '4 
 
 1-729 
 
 O'22 
 
 0-6 
 
 I'O 
 
 2-879 
 
 i'3i 
 
 2'33 
 
 *1956'O 3-16417 1-2652 
 
 0-298 
 
 1-31 
 
 2*91694 
 
 1-1 
 
 0-983 
 
 3-01 
 
 '5 
 
 3'2 
 
 '39' 
 
 3-30 
 
 2-84 
 
 1957O ; 3-39253 I 1-5526 
 
 0-539 
 
 '54 
 
 3-26337 
 
 1*8 
 
 1-236 
 
 3-24 
 
 3'4 
 
 2-8 
 
 2-404 
 
 0-80 
 
 2-36 
 
 1 9580 
 
 2-62089 
 
 0-8400 
 
 1-555 
 
 0-77 
 
 2*60980 
 
 i'5 
 
 0-490 
 
 2' 4 8 
 
 0-8 
 
 '5 
 
 3-416 
 
 179 
 
 1-87 
 
 1 959-0 
 
 1-84924 
 
 0-1274 
 
 0-796 
 
 O'OI 
 
 1*95623 
 
 1*2 
 
 3-295 
 
 171 
 
 1-6 
 
 0*1 
 
 0-929 
 
 2-79 
 
 1-38 
 
 * 19600 
 
 1-07760 
 
 I-1901 
 
 0-037 
 
 I -01 
 
 1*30266 
 
 0- 9 
 
 2-548 
 
 0-95 
 
 2-5 
 
 2-3 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 2-94! 
 
 1-28 
 
 1-90 
 
 1961 
 
 1-30596 
 
 1-4775 
 
 0-278 
 
 1-24 
 
 1-64909 
 
 1-6 
 
 2-802 
 
 1-18 
 
 0-9 
 
 1-9 
 
 0-454 
 
 2-28 
 
 1-41 19620 
 
 0-53432 
 
 0-7649 
 
 1-295 
 
 0-48 
 
 0-99552 
 
 i'3 
 
 2-056 
 
 0-42 
 
 '7 
 
 0-5 
 
 1-466 
 
 3-27 
 
 0-93 
 
 19630 
 
 3-3I385 
 
 0-0523 
 
 0-536 
 
 1-48 
 
 0-34195 
 
 i*i 
 
 1-309 
 
 3-20 
 
 2-6 
 
 *7 
 
 2-478 
 
 0-77 
 
 0-44 
 
 *19640 
 
 2-54221 
 
 1-1150 
 
 1-552 
 
 0-72 
 
 3-23842 
 
 0-8 
 
 0-563 
 
 2-44 
 
 3'5 
 
 ''3 
 
 0-991 
 
 2-76 
 
 0-96 
 
 1 965-0 
 
 277057 
 
 1-4024 
 
 0-018 
 
 0-95 
 
 0*03481 
 
 i'5 
 
 0-817 
 
 2-67 
 
 1-9 
 
 i-o 
 
 2-003 
 
 0-25 
 
 0-47 
 
 1 966-0 
 
 1-99893 
 
 0-6898 
 
 i-34 
 
 0-18 
 
 2-93128 
 
 1-2 
 
 0-070 
 
 1-91 
 
 27 
 
 3"' 
 
 3-016 
 
 1-25 
 
 3'57 
 
 1967-0 
 
 I-22728 
 
 1-7526 
 
 0-275 
 
 1-19 
 
 2-27771 
 
 0-9 
 
 2-875 
 
 1*14 
 
 o-i 
 
 1-8 
 
 0-528 
 
 2-24 
 
 3-08 
 
 *1968-O 
 
 0-45564 
 
 1-0400 
 
 1*292 
 
 0-42 
 
 1*62414 
 
 0-6 
 
 2-129 
 
 o-37 
 
 i-o 
 
 0-4 
 
 2-541 
 
 74 
 
 o-oi 
 
 1969 
 
 0-68400 
 
 i'3274 
 
 J'533 
 
 0-65 
 
 1*97057 
 
 '3 
 
 2-382 
 
 o'6i 
 
 2-8 
 
 o-o 
 
 0-053 
 
 173 
 
 3-11 
 
 19700 
 
 3-46354 
 
 0-6148 
 
 0-774 
 
 1-66 
 
 1-31700 
 
 I'O 
 
 1-636 
 
 3'4 
 
 0-2 
 
 2'2 
 
 i -066 
 
 273 
 
 2-62 
 
 1971-0 
 
 2-69189 
 
 1-6775 
 
 0-015 
 
 0-89 
 
 0-66344 
 
 07 
 
 0-890 
 
 2-63 
 
 i -i 
 
 0*8 
 
 2-078 
 
 O'22 
 
 2-14 
 
 *1972-O 
 
 1-92025 
 
 0-9649 
 
 1-032 
 
 0-12 
 
 0-00987 
 
 0-5 
 
 0-143 
 
 1-86 
 
 2-0 
 
 3-0 
 
 0-591 
 
 2*22 
 
 2-65 
 
 19730 2-14861 
 
 1-2523 
 
 1-273 
 
 0-35 
 
 0-35630 
 
 1-2 
 
 0-397 
 
 2'IO 
 
 0-3 
 
 27 
 
 1-603 
 
 3'2I 
 
 2-17 
 
 1974-O 1-37696 
 
 '5397 
 
 o-SH 
 
 1-36 
 
 3-25276 
 
 0- 9 
 
 3-202 
 
 1-33 
 
 1'2 
 
 1-3 
 
 2-616 
 
 0-70 
 
 1-68 
 
 1975'O 0-60532 
 
 1-6024 
 
 1-530 
 
 0-59 
 
 2*59919 
 
 0-6 
 
 2-455 
 
 0-57 
 
 2*1 
 
 3'5 
 
 0-128 
 
 170 
 
 i -20 
 
 *1976'O 
 
 3-38486 
 
 0-8898 
 
 0-771 
 
 I -60 
 
 1*94563 
 
 0-3 
 
 1-709 
 
 3'35 
 
 2'9 
 
 2*1 
 
 2-141 
 
 O-I9 
 
 1-71 
 
 1 977-O 
 
 0-06204 
 
 1-1772 
 
 I-OI2 
 
 0-05 
 
 2-29206 
 
 1*0 
 
 1-963 
 
 0-04 
 
 1-3 
 
 17 
 
 3-153 
 
 1-I 9 
 
 I'22 
 
 1 973 
 
 2-84157 
 
 0-4646 
 
 0-253 
 
 I 'O6 
 
 1-63849 
 
 0*7 
 
 I *2 1 6 
 
 2-82 
 
 Z-2 
 
 0-4 
 
 0-665 
 
 2-18 
 
 073 
 
 19790 
 
 2-06993 
 
 '5*73 
 
 I-27O 
 
 0-29 
 
 0-98492 
 
 0-4 
 
 0-470 
 
 2*06 
 
 3'I 
 
 *'S 
 
 1-678 
 
 3-i8 
 
 0-25 
 
 * 19800 
 
 1-29829 
 
 0-8147 
 
 0-5II 
 
 1-30 
 
 0-33135 
 
 0*1 
 
 3-274 
 
 1-29 
 
 0-4 
 
 I'2 
 
 0-190 
 
 1-67 
 
 077 
 
 1 981 
 
 1-52665 
 
 I-IO2I 
 
 0752 
 
 ''53 
 
 0-67778 
 
 0*9 
 
 3*528 
 
 i-53 
 
 2-3 
 
 0-8 
 
 1-203 
 
 2-67 
 
 0-28 
 
 1 982 
 
 075500 
 
 0-3895 
 
 1769 
 
 076 
 
 0*02421 
 
 0-6 
 
 2-782 
 
 0-76 
 
 3'2 
 
 3' 
 
 2-215 
 
 0-16 
 
 3-38 
 
 19830 
 
 3-53454 
 
 1-4522 
 
 I-OOg 
 
 1-77 
 
 2-92068 
 
 0-3 
 
 2-035 
 
 0*00 
 
 0-5 
 
 1*6 
 
 3-228 
 
 1-16 
 
 2-89 
 
 * 19840 
 
 2-76290 
 
 07396 
 
 O-25O 
 
 I'OO 
 
 2-26711 
 
 O'O 
 
 1-289 
 
 278 
 
 I- 4 
 
 0*2 
 
 1740 
 
 3-i5 
 
 3-4I 
 
 1985O 
 
 2-99126 
 
 I-O270 
 
 0-491 
 
 1-23 
 
 2*61354 
 
 0*7 
 
 i '543 
 
 3-02 
 
 3'3 
 
 3'4 
 
 2753 
 
 0-64 
 
 2- 9 2 
 
 1986-O : 2-21961 
 
 0-3H4 
 
 I-508 
 
 0-46 
 
 1*95997 
 
 0-4 
 
 0-796 
 
 2-25 
 
 0-7 
 
 2-O 
 
 0-265 
 
 1-64 
 
 2-43 
 
 1987-0 1-44797 
 
 1-377' 
 
 0-749 
 
 1-47 
 
 1*30640 
 
 O'l 
 
 0-050 
 
 1-49 
 
 '5 
 
 0-7 
 
 1-278 
 
 2-63 
 
 1-95 
 
 -19880 
 
 0-67633 
 
 0-6645 
 
 1766 
 
 0-70 
 
 0*65283 
 
 3'4 
 
 2-855 
 
 0-72 
 
 2 '4 
 
 2*9 
 
 3-290 
 
 1-13 
 
 2-46 
 
 1989 
 
 0-90468 
 
 0-9519 
 
 0-231 
 
 0-93 
 
 0-99926 
 
 0-5 
 
 3-108 
 
 0-96 
 
 0-8 
 
 2-5 
 
 0-803 
 
 2-12 
 
 1-98 
 
 1 99O-O 
 
 'I334 
 
 0-2393 
 
 1-247 
 
 0-16 
 
 0-34570 
 
 0-3 
 
 2-362 
 
 0*19 
 
 17 
 
 
 1-815 
 
 3-12 
 
 1-49 
 
 1 991 
 
 2-91258 
 
 1-3020 
 
 0-488 
 
 1-17 
 
 3*24216 
 
 O'O 
 
 1-616 
 
 2-98 
 
 2-5 
 
 3-3 
 
 2-827 
 
 0-61 
 
 I -01 
 
 *1992'O 2*14094 
 
 0-5894 
 
 I-505 
 
 0-40 
 
 2-58859 
 
 3-2 
 
 0-869 
 
 2-21 
 
 3'4 
 
 1-9 
 
 1-340 
 
 2-61 
 
 1-52 
 
 19930 
 
 2-36929 
 
 0-8769 
 
 1746 
 
 0-63 
 
 2-93502 
 
 0-4 
 
 1-123 
 
 2-44 
 
 1-8 
 
 1-6 
 
 2-352 
 
 o-io 
 
 1-03 
 
 1994-0 
 
 1-59765 
 
 0-1643 
 
 0-987 
 
 1-64 
 
 2-28145 
 
 O'l 
 
 o-377 
 
 1-68 
 
 2-6 
 
 O'2 
 
 3-365 
 
 1-09 
 
 0-55 
 
 19950 
 
 0-82601 
 
 I-2270 
 
 0-228 
 
 0-87 
 
 1-62789 
 
 3-4 
 
 3*181 
 
 0-91 
 
 o-o 
 
 2'4 
 
 0-877 
 
 2 "09 
 
 0-06 
 
 '1996-0 
 
 0-05437 
 
 0-5144 
 
 1-244 
 
 o-io 
 
 0-97432 
 
 3" 1 
 
 2-435 
 
 0-15 
 
 0-9 
 
 i-o 
 
 2-890 
 
 0-58 
 
 0-58 
 
 1 997-0 
 
 0-28272 
 
 0-8018 
 
 1-484 
 
 0-34 
 
 1-32075 
 
 - 2 
 
 2-689 
 
 0-38 
 
 2-8 
 
 0*6 
 
 0-402 
 
 I- 5 8 
 
 0-09 
 
 1 998 
 
 3-06226 
 
 0-0892 
 
 0-726 
 
 1-34 
 
 0-66718 
 
 3'5 
 
 1-942 
 
 3-17 
 
 O'l 
 
 2-8 
 
 1-415 
 
 2'57 
 
 3-I9 
 
 1999 
 
 2*29062 
 
 I-I519 
 
 1743 
 
 0-57 
 
 0-01361 
 
 3-2 
 
 1*196 
 
 2-40 
 
 1*0 
 
 '4 
 
 2-427 
 
 O-07 
 
 270 
 
 20000 
 
 1-51898 
 
 0-4393 
 
 0-984 
 
 1-58 
 
 2-91007 
 
 2-9 
 
 0-450 
 
 1-64 
 
 1-9 
 
 0*1 
 
 3-500 
 
 3-50 
 
 3-58 
 
 Periods 
 
 3'55n8 
 
 1-7753 
 
 1776 
 
 1-78 
 
 rss3 
 
 3'5 
 
 3-55I 
 
 3-55 
 
 3'5 
 
 3-6 
 
 To find the True Longitude, reduced to Jupiter's Orbit, the entries of Column 2 must be supplemented by the equations of Tables XII-XXXII. 
 
 I] 
 
SATELLITE II 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 Motions of Mean Longitude and the Arguments for Days 
 
 I 
 
 2 
 
 3 
 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 IO 
 
 ii 
 
 12 
 
 !3 
 
 '4 
 
 Day 
 
 Mean Long. 
 
 A 
 
 B 
 
 c 
 
 D 
 
 E 
 
 F 
 
 G-J 
 
 K 
 
 L 
 
 M 
 
 N 
 
 
 
 
 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 Jan. 1 
 
 101-37476 
 
 I'OOOOO 
 
 i-oo 
 
 I-OO 
 
 I'OOO 
 
 I'OOOO 
 
 I -000 
 
 roo 
 
 I'OO 
 
 i-oo 
 
 rooo 
 
 i-oo 
 
 roo 
 
 2 
 
 20*74952 
 
 2'OQOOO 
 
 2'OO 
 
 2 'CO 
 
 2'OOO 
 
 2-OOOO 
 
 2'OOO 
 
 2'OO 
 
 0-23 
 
 2'OO 
 
 Z'OOO 
 
 2'OO 
 
 2-OO 
 
 3 
 
 304-12429 
 
 3-OOOOO 
 
 3-00 
 
 3-00 
 
 3 - OOO 
 
 3-OOOO 
 
 3-000 
 
 3-00 
 
 1-23 
 
 3-00 
 
 3-000 
 
 3"OO 
 
 3'OO 
 
 4 
 
 45-49905 
 
 4-OOOOO 
 
 4-00 
 
 0-44 
 
 0-447 
 
 0-4486 
 
 0-449 
 
 4-00 
 
 0-46 
 
 0-50 
 
 0-500 
 
 0-50 
 
 0-42 
 
 5 
 
 146-87381 
 
 5-OOOOO 
 
 0-49 
 
 1-44 
 
 '447 
 
 1-4486 
 
 1-449 
 
 5-00 
 
 1-46 
 
 1-50 
 
 1-500 
 
 1-50 
 
 I- 4 2 
 
 6 
 
 248-24857 
 
 6-00000 
 
 1-49 
 
 2'44 
 
 2-447 
 
 2-4486 
 
 2-449 
 
 6-00 
 
 0-69 
 
 2-50 
 
 2-500 
 
 2-50 
 
 2-42 
 
 7 
 
 349-62333 
 
 7-00000 
 
 2-49 
 
 3'44 
 
 3-447 
 
 3H486 
 
 3'449 
 
 7-00 
 
 i -69 o-oo 
 
 O'OOO 
 
 O'OO 
 
 3H2 
 
 8 
 
 90*99809 
 
 0-94907 
 
 3-49 
 
 0-89 
 
 0-894 
 
 0-8972 
 
 0-898 
 
 8-00 
 
 0-92 I'oo 
 
 i-ooo 
 
 roo 
 
 0-83 
 
 9 
 
 192-37286 
 
 1-94907 
 
 4-49 
 
 1-89 
 
 1-894 
 
 1-8972 
 
 1-898 
 
 9-00 
 
 0-15 
 
 2-OO 
 
 2-OOO 
 
 2-OO 
 
 I-8 3 
 
 10 
 
 293-74762 
 
 2-94907 
 
 0-98 
 
 2-89 
 
 2-894 
 
 2-8972 
 
 2-898 
 
 10-00 
 
 1-15 
 
 3'OO 
 
 3-000 
 
 3"OO 
 
 2-83 
 
 11 
 
 35-12238 
 
 3-94907 
 
 1-98 
 
 0-33 
 
 0-342 
 
 0-3457 
 
 0-346 
 
 i roo 
 
 0-39 
 
 0-50 
 
 0-500 
 
 0-50 
 
 0-25 
 
 12 
 
 136-49714 
 
 4-94907 
 
 2-98 
 
 '33 
 
 I-342 
 
 '3457 
 
 1-346 
 
 12-00 
 
 >-39 
 
 1-50 
 
 1-500 
 
 I-50 
 
 1-25 
 
 13 
 
 237-87190 
 
 5-94907 
 
 3-98 
 
 2'33 
 
 2-342 
 
 2-3457 
 
 2-346 
 
 13-00 
 
 0-62 
 
 2-50 
 
 2-500 
 
 2-50 
 
 2-25 
 
 14 
 
 339-24666 
 
 6-94907 
 
 0-47 
 
 3'33 
 
 3-342 
 
 3-3457 
 
 3-346 
 
 14-00 
 
 1-62 
 
 O'OI 
 
 O'OOO 
 
 O'OO 
 
 3^5 
 
 15 
 
 80-62143 
 
 0-89815 
 
 1-47 
 
 077 
 
 0789 
 
 o-7943 
 
 795 
 
 15-00 
 
 0-85 
 
 I -01 
 
 rooo 
 
 roo 
 
 0-67 
 
 16 
 
 181*99619 
 
 1-89815 
 
 2'47 
 
 177 
 
 1-789 
 
 1-7943 
 
 I-/95 
 
 16-00 
 
 0-08 
 
 2-01 
 
 2-OOO 
 
 2'OO 
 
 I-6 7 
 
 17 
 
 283-37095 
 
 2-89815 
 
 3'47 
 
 277 
 
 2789 
 
 27943 
 
 2795 
 
 17-00 
 
 i -08 
 
 3-01 
 
 3-000 
 
 3' 
 
 2-6 7 
 
 18 
 
 24-74571 
 
 3-89815 
 
 4-47 
 
 O"22 
 
 0-236 
 
 0-2429 
 
 0-244 
 
 18-00 
 
 0-31 
 
 0-51 
 
 0-501 
 
 0-50 
 
 0-08 
 
 19 
 
 126-12047 
 
 4-89815 
 
 0-96 
 
 1*22 
 
 1-236 
 
 1-2429 
 
 1-244 
 
 19-00 
 
 1-31 
 
 1-51 
 
 1-501 
 
 1-50 
 
 1-08 
 
 20 
 
 227-49523 
 
 5-89815 
 
 1-96 
 
 2'22 
 
 2-236 
 
 2-2429 
 
 2-244 
 
 20-00 
 
 o-54 
 
 2-51 
 
 2-501 
 
 2-50 
 
 2-08 
 
 21 
 
 328-87000 
 
 6-89815 
 
 2-96 
 
 3-22 
 
 3^36 
 
 3-2429 
 
 3-244 
 
 21-00 
 
 i'54 
 
 o-oi 
 
 O'OOl 
 
 O'OO 
 
 3-o8 
 
 22 
 
 70-24476 
 
 0-84722 
 
 3-96 
 
 0-66 
 
 0-683 
 
 0-6915 
 
 0-693 
 
 22-OO 
 
 077 
 
 roi 
 
 roo i 
 
 i-oo 
 
 0-50 
 
 23 
 
 171-61952 
 
 1-84722 
 
 0-44 
 
 1-66 
 
 1-683 
 
 1-6915 
 
 1-693 
 
 23-00 
 
 O'OO 
 
 2'OI 
 
 2-OOI 
 
 2-OO 
 
 1-50 
 
 24 
 
 272-99428 
 
 2-84722 
 
 1-44 
 
 2-66 
 
 2-683 
 
 2-6915 
 
 2-693 
 
 24-00 
 
 roo 
 
 3-01 
 
 3-001 
 
 3'OO 
 
 2-50 
 
 25 
 
 14-36904 
 
 3-84722 
 
 2-44 
 
 o-io 
 
 O-I3O 
 
 0-1400 
 
 0-141 
 
 25-00 
 
 0-23 
 
 0-51 
 
 0-501 
 
 0-50 
 
 3-50 
 
 26 
 
 115-74380 
 
 4-84722 
 
 3-44 
 
 I-IO 
 
 I-130 
 
 i 1 400 
 
 1-141 
 
 26-OO 
 
 1-23 
 
 1-51 
 
 1-501 
 
 1-50 
 
 0-92 
 
 27 
 
 217-11857 
 
 5-84722 
 
 4'44 
 
 2-10 
 
 2-I30 
 
 2-1400 
 
 2-141 
 
 27-00 
 
 0-46 
 
 2-51 
 
 2-501 
 
 2-50 
 
 1-92 
 
 28 
 
 318-49333 
 
 6-84722 
 
 0-93 
 
 3-10 
 
 3-I3 
 
 3-1400 
 
 3'H 1 
 
 28-00 
 
 1-46 
 
 O'OI 
 
 O'OOI 
 
 O'OO 
 
 2-92 
 
 29 
 
 59-86809 
 
 0-79629 
 
 1-93 
 
 0-55 
 
 0-577 
 
 0-5886 
 
 0-590 
 
 29-00 
 
 0-69 
 
 roi 
 
 1-001 
 
 roo 
 
 "33 
 
 30 
 
 161-24285 
 
 1-79629 
 
 2'93 
 
 '55 
 
 1-577 
 
 1-5886 
 
 1-590 
 
 3O-OO 
 
 1-69 
 
 2-01 
 
 2-OOI 
 
 2'OO 
 
 1-33 
 
 31 
 
 262-61761 
 
 279629 
 
 3'93 
 
 z'55 
 
 2-577 
 
 2-5886 
 
 2-590 
 
 3I-OO 
 
 0-92 
 
 3-01 
 
 3-001 
 
 3-00 
 
 2-33 
 
 Feb. 1 
 
 3-99237 
 
 379629 
 
 0-42 
 
 3-55 
 
 0-025 
 
 0-0372 
 
 0-039 
 
 32-OO 
 
 0-15 
 
 0-51 
 
 0-501 
 
 0-50 
 
 3-33 
 
 2 
 
 105-36714 
 
 4-79629 
 
 1-42 
 
 0-99 
 
 1-025 
 
 1-0372 
 
 1-039 
 
 33-oo 
 
 1-15 
 
 1-51 
 
 I 501 
 
 1-50 
 
 075 
 
 3 
 
 206-74190 
 
 579629 
 
 2-42 
 
 '99 
 
 2-025 
 
 2-0372 
 
 2-039 
 
 34-00 
 
 0-39 
 
 2-51 
 
 2-501 
 
 2-50 
 
 '75 
 
 4 
 
 308-1 1666 
 
 6 79629 
 
 3H2 
 
 2-99 
 
 3-025 
 
 3-0372 
 
 3-039 
 
 35-00 
 
 >'39 
 
 O'OI 
 
 o-ooi 
 
 o-oo 
 
 275 
 
 
 49-49142 
 
 074536 
 
 4-42 
 
 Q'43 
 
 0-472 
 
 0-4858 
 
 0-488 
 
 36-00 
 
 0-62 
 
 roi 
 
 I'OO I 
 
 roo 
 
 0-17 
 
 6 
 
 150-86618 
 
 174536 
 
 0-91 
 
 i-43 
 
 1-472 
 
 1-4858 
 
 1-488 
 
 37-00 
 
 1-62 
 
 2-01 
 
 2-OOI 
 
 2-OO 
 
 1-17 
 
 7 
 
 252-24094 
 
 274536 
 
 1-91 
 
 2'43 
 
 2-472 
 
 2-4858 
 
 2-488 
 
 38-00 
 
 0-85 
 
 3-01 
 
 3-001 
 
 3'OO 
 
 2-17 
 
 8 
 
 353-6i57i 
 
 3-74536 
 
 2-91 
 
 3'43 
 
 3-472 
 
 3-4858 
 
 3-488 
 
 39-00 
 
 0-08 
 
 0-52 
 
 0-501 
 
 0-50 
 
 3-I7 
 
 9 
 
 94-99047 
 
 4-74536 
 
 3'9' 
 
 0-88 
 
 0-919 
 
 o-9343 
 
 0-936 
 
 40-00 
 
 1-08 
 
 1-52 
 
 1-501 
 
 I-50 
 
 0-58 
 
 1O 
 
 196-36523 
 
 5-74536 
 
 0-40 
 
 1-88 
 
 1-919 
 
 1-9343 
 
 1-936 
 
 41-00 
 
 0-31 
 
 2-52 
 
 2-501 
 
 2-50 
 
 1-58 
 
 11 
 
 29773999 
 
 6-74536 
 
 1-40 
 
 2-88 
 
 2-919 
 
 *"9343 
 
 2-936 
 
 42-00 
 
 1-31 
 
 O'O2 
 
 o-ooi 
 
 O'OO 
 
 2-58 
 
 12 
 
 39-11475 
 
 0-69444 
 
 2-40 
 
 0-32 
 
 0-366 
 
 0-3829 
 
 0-385 
 
 43-00 
 
 0-54 
 
 I-O2 
 
 I -00 1 
 
 roo 
 
 O'OO 
 
 13 
 
 140-48951 
 
 1-69444 
 
 3-40 
 
 1-32 
 
 1-366 
 
 1-3829 
 
 1-385 
 
 44-00 
 
 '"54 
 
 2'O2 
 
 2'OOI 
 
 2-00 
 
 I'OO 
 
 14 
 
 241-86428 
 
 2-69444 
 
 4-40 
 
 2-32 
 
 2-366 
 
 2-3829 
 
 2-385 
 
 45-00 
 
 0-77 
 
 3-02 
 
 3-001 
 
 3 "oo 
 
 2-OO 
 
 15 
 
 343-23904 
 
 3-69444 
 
 0-89 
 
 3-32 
 
 3-366 
 
 3-3829 
 
 3-385 
 
 46-00 
 
 O'OO 
 
 0-52 
 
 0-501 
 
 0-50 
 
 3'oo 
 
 16 
 
 84-61380 
 
 4-69444 
 
 1-89 
 
 0-76 
 
 0-813 
 
 0-8315 
 
 0-834 
 
 47-oo 
 
 roo 
 
 I-52 
 
 1-501 
 
 1-50 
 
 0-42 
 
 17 
 
 185-98856 
 
 5-69444 
 
 2-89 
 
 176 
 
 1-813 
 
 1-8315 
 
 1-834 
 
 48-00 
 
 0-23 
 
 2-52 
 
 2-501 
 
 2-50 
 
 1-42 
 
 18 
 
 287-36332 
 
 6-69444 
 
 3-89 
 
 276 
 
 2-813 
 
 2-8315 
 
 2-834 
 
 49-00 
 
 1-23 
 
 O-O2 
 
 O'OO2 
 
 o-oo 
 
 2-42 
 
 19 
 
 28-73808 
 
 0-64351 
 
 0-38 
 
 O-2I 
 
 0-260 
 
 0-2801 
 
 0-283 
 
 50-00 
 
 0-46 
 
 I -O2 
 
 I-OO2 
 
 i-oo 
 
 3-42 
 
 2O 
 
 130-11285 
 
 1-64351 
 
 1-38 
 
 I '2 I 
 
 1-260 
 
 1-2801 
 
 1-283 
 
 51-00 
 
 1-46 
 
 2-02 
 
 2-O02 
 
 2'OO 
 
 0-84 
 
 21 
 
 231-48761 
 
 2-64351 
 
 2-38 
 
 2-21 
 
 2-260 
 
 2-2801 
 
 2-283 
 
 52-00 
 
 0-70 
 
 3-O2 
 
 3-OO2 
 
 3'OO 
 
 1-84 
 
 22 
 
 332-86237 
 
 3-64351 
 
 3-38 
 
 3'2I 
 
 3-260 
 
 3-2801 
 
 3-283 
 
 53-00 
 
 170 
 
 0-52 
 
 0-502 
 
 0-50 
 
 2-84 
 
 In Leap Year diminish the date in Columns t, 15, by i day after Feb. 28. 
 82 
 
SATELLITE II 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 Motions of Mean Longitude and the Arguments for Days 
 
 '5 
 
 16 
 
 '7 
 
 18 
 
 '9 
 
 20 
 
 21 
 
 H 
 
 *3 
 
 24 
 
 *5 
 
 z6 
 
 Day 
 
 P 
 
 Q 
 
 R 
 
 s 
 
 T 
 
 u 
 
 V 
 
 W 
 
 X 
 
 Y 
 
 Z 
 
 
 y 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 Jan. 1 
 
 0-003 
 
 I -ooooo 
 
 i-oooo 
 
 rooo 
 
 I'OO 
 
 i -ooooo 
 
 I'O 
 
 l-OOO 
 
 i-oo 
 
 I-O 
 
 i-o 
 
 2 
 
 0-005 
 
 2'OOOOQ 
 
 0-2247 
 
 0-224 
 
 O-22 
 
 2 -OOOOO 
 
 2'O 
 
 2'OOO 
 
 2-OO 
 
 2-0 
 
 2-0 
 
 3 
 
 o'ooS 
 
 3'OOOOQ 
 
 1-2247 
 
 1-224 
 
 1-22 
 
 3'OOQOO 
 
 3'0 
 
 3-OOO 
 
 3-OO 
 
 3-0 
 
 3' 
 
 4 
 
 O'OII 
 
 0-44882 
 
 0-4494 
 
 0-449 
 
 0-45 
 
 0-44997 
 
 0-5 
 
 0-449 
 
 0-45 
 
 0-5 
 
 0-4 
 
 5 
 
 0-014 
 
 1-44882 
 
 1-4494 
 
 1-449 
 
 J'45 
 
 1-44997 
 
 '5 
 
 1-449 
 
 '45 
 
 '5 
 
 i'4 
 
 6 
 
 0-016 
 
 2-44882 
 
 0-6741 
 
 0-673 
 
 0-67 
 
 2-44997 
 
 2-5 
 
 2-449 
 
 2-45 
 
 2'5 
 
 2'4 
 
 7 
 
 0-019 
 
 3-44882 
 
 I-674I 
 
 1-673 
 
 1-67 
 
 3-44997 
 
 3'5 
 
 3'449 
 
 3'4S 
 
 O'O 
 
 3'4 
 
 8 
 
 O-022 
 
 0*89764 
 
 0-8988 
 
 0-898 
 
 0-90 
 
 0-89993 
 
 0-9 
 
 0-898 
 
 0-90 
 
 I-O 
 
 0-9 
 
 9 
 
 0-025 
 
 1-89764 
 
 0-1235 
 
 0-122 
 
 O'I2 
 
 1-89993 
 
 1-9 
 
 1-898 
 
 1-90 
 
 2-O 
 
 i'9 
 
 1O 
 
 0-027 
 
 2-89764 
 
 I-I235 
 
 I'I22 
 
 I'I2 
 
 2-89993 
 
 2-9 
 
 2-898 
 
 2-90 
 
 3-0 
 
 2-9 
 
 11 
 
 0-030 
 
 0-34646 
 
 0-3482 
 
 0-347 
 
 0'3S 
 
 0-34990 
 
 0-4 
 
 0-347 
 
 0-35 
 
 0-5 
 
 o-3 
 
 12 
 
 0-033 
 
 1-34646 
 
 I-3482 
 
 1-347 
 
 !'35 
 
 I-34990 
 
 1- 4 
 
 1-347 
 
 1-35 
 
 I'S 
 
 1-3 
 
 13 
 
 0-036 
 
 2-34646 
 
 0-5729 
 
 0-571 
 
 0-57 
 
 2-34990 
 
 2'4 
 
 2-347 
 
 2-35 
 
 2-5 
 
 2'3 
 
 14 
 
 0-038 
 
 3-34646 
 
 1-5729 
 
 1-571 
 
 1-57 
 
 3-34990 
 
 3'4 
 
 3-347 
 
 3'35 
 
 o-o 
 
 3'3 
 
 15 
 
 0-041 
 
 0-79528 
 
 0-7976 
 
 0796 
 
 0'8o 
 
 079986 
 
 0-8 
 
 0796 
 
 0-80 
 
 i-o 
 
 0-8 
 
 16 
 
 0-044 
 
 I-79528 
 
 O-O223 
 
 O'O2O 
 
 O'O2 
 
 1-79986 
 
 1-8 
 
 1-796 
 
 i -80 
 
 2'O 
 
 1-8 
 
 17 
 
 0-047 
 
 279528 
 
 I-O223 
 
 I-O2O 
 
 I-O2 
 
 279986 
 
 2-8 
 
 2-796 
 
 2-80 
 
 3-0 
 
 2-8 
 
 18 
 
 0-049 
 
 0-24409 
 
 0-2470 
 
 0-245 
 
 O-24 
 
 0-24983 
 
 0-3 
 
 0-245 
 
 0-24 
 
 0-5 
 
 o~z 
 
 19 
 
 0-052 
 
 1-24409 
 
 I-2470 
 
 1-245 
 
 1-24 
 
 1-24983 
 
 '3 
 
 1-245 
 
 1-24 
 
 1 
 
 rz 
 
 2O 
 
 0-055 
 
 2-24409 
 
 0-47I7 
 
 0-469 
 
 0-47 
 
 4-24983 
 
 2'3 
 
 2-245 
 
 2-24 
 
 2'5 
 
 2*2 
 
 21 
 
 0-058 
 
 3-24409 
 
 I-47I7 
 
 1-469 
 
 1-47 
 
 3-H9 8 3 
 
 3'3 
 
 3-M5 
 
 3-24 
 
 O'O 
 
 3'2 
 
 22 
 
 0-060 
 
 0-69291 
 
 0-6964 
 
 0-694 
 
 0*69 
 
 0-69979 
 
 0-7 
 
 0-694 
 
 0-69 
 
 I'O 
 
 0-7 
 
 23 
 
 0-063 
 
 1-69291 
 
 I '6964 
 
 1-694 
 
 I-6 9 
 
 1-69979 
 
 1-7 
 
 1-694 
 
 1-69 
 
 2'O 
 
 1*7 
 
 24 
 
 0-066 
 
 2-69291 
 
 0-92IO 
 
 0-918 
 
 0-92 
 
 2-69979 
 
 2-7 
 
 2-694 
 
 2-69 
 
 3 -0 
 
 2-7 
 
 25 
 
 0-068 
 
 0-14173 
 
 0-1457 
 
 0-143 
 
 O-I4 
 
 0-14976 
 
 0-2 
 
 0-143 
 
 0-14 
 
 0-5 
 
 O'l 
 
 26 
 
 0-071 
 
 J'14'73 
 
 '"'457 
 
 ''43 
 
 1-14 
 
 1-14976 
 
 I'2 
 
 i-'43 
 
 1-14 
 
 i-5 
 
 n 
 
 27 
 
 0-074 
 
 2-i4>73 
 
 0-3704 
 
 0-367 
 
 0-37 
 
 2-14976 
 
 2'2 
 
 2-143 
 
 2-14 
 
 2'5 
 
 2'I 
 
 28 
 
 0-077 
 
 3-4i73 
 
 1-3/04 
 
 1-367 
 
 1-37 
 
 3-14976 
 
 3 '2 
 
 3-I43 
 
 3-i4 
 
 O'O 
 
 3 1 ' 
 
 29 
 
 0-079 
 
 0-59055 
 
 0-5951 
 
 0-592 
 
 0-59 
 
 0-59972 
 
 0-6 
 
 o-593 
 
 0-59 
 
 I'O 
 
 0-5 
 
 3O 
 
 0-082 
 
 1-59055 
 
 1-5951 
 
 1-592 
 
 1-59 
 
 I-59972 
 
 1-6 
 
 J-593 
 
 1-59 
 
 2'O 
 
 '5 
 
 31 
 
 0-085 
 
 2-59055 
 
 0-8198 
 
 0-816 
 
 0-82 
 
 2-59972 
 
 2-6 
 
 *-593 
 
 2-59 
 
 3-0 
 
 2-5 
 
 Feb. 1 
 
 0-088 
 
 0-03937 
 
 0-0445 
 
 0-040 
 
 0-04 
 
 0-04969 
 
 O'l 
 
 0-042 
 
 0-04 
 
 0-5 
 
 o-o 
 
 2 
 
 0-090 
 
 1-03937 
 
 1-0445 
 
 1-040 
 
 1-04 
 
 1-04969 
 
 1*1 
 
 1-042 
 
 1-04 
 
 n 
 
 ro 
 
 3 
 
 0-093 
 
 2-03937 
 
 0-2692 
 
 0-265 
 
 O-26 
 
 2-04969 
 
 2-1 
 
 2*042 
 
 2-04 
 
 2-5 
 
 2'0 
 
 4 
 
 0-096 
 
 3-03937 
 
 i -2692 
 
 1-265 
 
 1-26 
 
 3-04969 
 
 3' 
 
 3-042 
 
 3-04 
 
 o-o 
 
 3-o 
 
 5 
 
 0-099 
 
 0-48819 
 
 0-4939 
 
 0-489 
 
 0-49 
 
 0-49965 
 
 0-5 
 
 0-491 
 
 0-49 
 
 i-o 
 
 '4 
 
 6 
 
 o-ioi 
 
 1-48819 
 
 1-4939 
 
 1-489 
 
 1-49 
 
 1-49965 
 
 '5 
 
 1-491 
 
 1-49 
 
 2'O 
 
 *4 
 
 7 
 
 0-104 
 
 2-48819 
 
 0-7186 
 
 0714 
 
 071 
 
 2-49965 
 
 2-5 
 
 2-491 
 
 2-49 
 
 3-0 
 
 2-4 
 
 8 
 
 0-107 
 
 3-488 I9 
 
 1-7186 
 
 1-714 
 
 171 
 
 3'499 6 5 
 
 o-o 
 
 3-491 
 
 3H9 
 
 0-5 
 
 3'4 
 
 9 
 
 O'lIO 
 
 0-93701 
 
 o-9433 
 
 0-938 
 
 0-94 
 
 0-94962 
 
 I'D 
 
 0-940 
 
 0-94 
 
 I'S 
 
 0-9 
 
 1O 
 
 OMI2 
 
 1-93701 
 
 0-1680 
 
 0-163 
 
 0-16 
 
 1-94962 
 
 2-O 
 
 1-940 
 
 i-94 
 
 2-5 
 
 1-9 
 
 11 
 
 0-II5 
 
 2-93701 
 
 1-1680 
 
 1-163 
 
 1-16 
 
 2-94962 
 
 3-0 
 
 2-94 
 
 2-94 
 
 O'O 
 
 2'9 
 
 12 
 
 o-u8 
 
 0-38583 
 
 0-3927 
 
 0-387 
 
 o-39 
 
 0-39958 
 
 0-4 
 
 0-389 
 
 o-39 
 
 ro 
 
 0-3 
 
 13 
 
 O'lZI 
 
 1-38583 
 
 1-3927 
 
 1-387 
 
 '39 
 
 1-39958 
 
 '4 
 
 1-389 
 
 i-39 
 
 2'O 
 
 '3 
 
 14 
 
 0-I23 
 
 2-38583 
 
 0-6174 
 
 0-612 
 
 0-61 
 
 2-39958 
 
 2-4 
 
 2-389 
 
 2-39 
 
 3-0 
 
 2'3 
 
 15 
 
 O-I26 
 
 3-38583 
 
 1-6174 
 
 1-612 
 
 1*1 
 
 3-39958 
 
 3'4 
 
 3-389 
 
 3-39 
 
 0-5 
 
 3'3 
 
 16 
 
 0-129 
 
 0-83465 
 
 0-8421 
 
 0-836 
 
 0-84 
 
 0-84955 
 
 0-9 
 
 0-838 
 
 0-84 
 
 I'5 
 
 0-8 
 
 17 
 
 0-132 
 
 1-83465 
 
 0-0668 
 
 0-061 
 
 0-06 
 
 1-84955 
 
 1-9 
 
 1-838 
 
 1-84 
 
 2'5 
 
 1-8 
 
 18 
 
 0-134 
 
 2-83465 
 
 1-0668 
 
 i -06 1 
 
 i -06 
 
 2-84955 
 
 2-9 
 
 2-838 
 
 2-84 
 
 o-o 
 
 2-8 
 
 19 
 
 0-137 
 
 0-28347 
 
 0-2915 
 
 0-285 
 
 0-28 
 
 0-29952 
 
 0-3 
 
 0-287 
 
 0-28 
 
 I'O 
 
 0-2 
 
 2O 
 
 0-140 
 
 1-28347 
 
 1-2915 
 
 1-285 
 
 1-28 
 
 1-29952 
 
 '3 
 
 1-287 
 
 i -8 
 
 2-0 
 
 1-2 
 
 21 
 
 0-142 
 
 2-28347 
 
 0-5162 
 
 0-510 
 
 0-51 
 
 2-29952 
 
 1-3 
 
 2-287 
 
 2-28 
 
 3-0 
 
 2-2 
 
 22 
 
 0-145 
 
 3-28347 
 
 1-5162 
 
 1-510 
 
 1-51 
 
 3-29952 
 
 3'3 
 
 3-287 
 
 3-28 
 
 0-5 
 
 3-2 
 
 In Leap Year diminish the date in Columns i, 15, by i day after Feb. 28. 
 
X continued 
 
 SATELLITE II 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 Motions of Mean Longitude and the Arguments for Days 
 
 I 
 
 z 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 IO 
 
 ii 
 
 it 
 
 13 
 
 '4 
 
 Day 
 
 Mean Long. 
 
 A 
 
 B 
 
 c 
 
 D 
 
 E 
 
 F 
 
 G-J 
 
 K 
 
 L 
 
 M 
 
 N 
 
 
 
 
 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 Feb. 23 
 
 74-23713 
 
 4' 6 435i 
 
 4-38 
 
 0-65 
 
 0708 
 
 07287 
 
 0731 
 
 54-00 
 
 0*92 
 
 I-52 
 
 I*5O2 
 
 I-50 
 
 0*25 
 
 24 
 
 175-61189 
 
 5' 6 435> 
 
 0-87 
 
 I-6 S 
 
 I-708 
 
 17287 
 
 1731 
 
 55-00 
 
 0*16 
 
 2-52 
 
 2-502 
 
 2-50 
 
 1*25 
 
 25 
 
 276-98665 
 
 6-64351 
 
 I-8 7 
 
 2-6 5 
 
 2-708 
 
 27287 
 
 2-73I 
 
 56-00 
 
 1*16 
 
 O'O2 
 
 0-OO2 
 
 O*OO 
 
 2*25 
 
 26 
 
 18*36142 
 
 0-59258 
 
 2-8 7 
 
 0-09 
 
 0-155 
 
 0-1772 
 
 O'lSo 
 
 57-00 
 
 0-39 
 
 1-02 
 
 I"OO2 
 
 I*OO 
 
 3-25 
 
 27 
 
 119-73618 
 
 1-59258 
 
 3-87 
 
 I-0 9 
 
 I-I55 
 
 I-I772 
 
 l-l8o 
 
 58*00 
 
 '39 
 
 2'O2 
 
 2'OO2 
 
 2-OO 
 
 0*67 
 
 28 
 
 221 'I 1094. 
 
 2-59258 
 
 0-36 
 
 2'Og 
 
 2-155 
 
 2-I772 
 
 2-180 
 
 59-00 
 
 0-62 
 
 3-02 
 
 3-OO2 
 
 3"OO 
 
 1-67 
 
 Mar. 1 
 
 322-48570 
 
 3'59258 
 
 1-36 
 
 3-09 
 
 3-I55 
 
 3-772 
 
 3-180 
 
 60-00 
 
 1-62 
 
 0-53 
 
 0-5O2 
 
 O-JO 
 
 2-67 
 
 2 
 
 63-86046 
 
 4-59258 
 
 2- 3 6 
 
 0-54 
 
 0-602 
 
 0-6258 
 
 0*629 
 
 6roo 
 
 0-85 
 
 >'53 
 
 I-502 
 
 I-50 
 
 0*09 
 
 3 
 
 165-23522 
 
 5-59258 
 
 3-36 
 
 I'54 
 
 I -602 
 
 1-6258 
 
 1-629 
 
 62-00 
 
 0-08 
 
 2-53 
 
 2-5O2 
 
 2-50 
 
 1-09 
 
 4 
 
 266-60999 
 
 6-59258 
 
 4-3-5 
 
 2-54 
 
 2'602 
 
 2-6258 
 
 2-629 
 
 63-00 
 
 i -08 
 
 0*03 
 
 O'OO2 
 
 O'OO 
 
 2-09 
 
 5 
 
 7 '9847 5 
 
 0-54166 
 
 0-84 
 
 3'54 
 
 0^049 
 
 0-0744 
 
 0-078 
 
 64-00 
 
 0-31 
 
 1-03 
 
 1-002 
 
 i-oo 
 
 3-09 
 
 6 
 
 109-35951 
 
 1-54166 
 
 1-84 
 
 0-98 
 
 1-049 
 
 1-0744 
 
 1-078 
 
 65-00 
 
 i'3 
 
 2-03 
 
 2'002 
 
 2'OO 
 
 0-50 
 
 7 
 
 210-73427 
 
 2-54166 
 
 2-84 
 
 1-98 
 
 2-049 
 
 2-0744 
 
 2-078 
 
 66-00 
 
 0*54 
 
 3-03 
 
 3-OO2 
 
 3-00 
 
 1*50 
 
 8 
 
 312-10903 
 
 3-54166 
 
 3-84 
 
 2-98 
 
 3-049 
 
 3-0744 
 
 3-078 
 
 67-00 
 
 ''54 
 
 0-53 
 
 O-502 
 
 0-50 
 
 2-50 
 
 9 
 
 53-4 8 379 
 
 4-54166 
 
 o-33 
 
 0-42 
 
 0-496 
 
 0-5230 
 
 0-526 
 
 68-00 
 
 077 
 
 i'53 
 
 1-502 
 
 1-50 
 
 3-50 
 
 10 
 
 154-85856 
 
 5-54166 
 
 i'33 
 
 I-42 
 
 1-496 
 
 I-5230 
 
 1-526 
 
 69-00 
 
 O'OO 
 
 2-53 
 
 2*502 
 
 2-50 
 
 0-92 
 
 11 
 
 256-23332 
 
 6-54166 
 
 2-33 
 
 2-42 
 
 2-496 
 
 2-5230 
 
 2-526 
 
 70-00 
 
 roo 
 
 0-03 
 
 0-OO2 
 
 O'OO 
 
 1-92 
 
 12 
 
 357-60808 
 
 0-49073 
 
 3-33 
 
 3'4 2 
 
 3'49 6 
 
 3-5230 
 
 3-526 
 
 71-00 
 
 0*23 
 
 1*03 
 
 I-OO2 
 
 I'OO 
 
 2-92 
 
 13 
 
 98-98284 
 
 1-49073 
 
 4'33 
 
 0-87 
 
 0-943 
 
 0- 9 7I5 
 
 0-975 
 
 72-00 
 
 1*23 
 
 2*03 
 
 2-OO2 
 
 2'OO 
 
 -34 
 
 14 
 
 200-35760 
 
 2-49073 
 
 0-82 
 
 I-8 7 
 
 J'943 
 
 I-97I5 
 
 1-975 
 
 73-00 
 
 0-46 
 
 3-03 
 
 3-OO2 
 
 3-00 
 
 i'34 
 
 16 
 
 301-73236 
 
 3-49073 
 
 i 82 
 
 2-8 7 
 
 2*943 
 
 2-9715 
 
 2-975 
 
 7400 
 
 1-46 
 
 o'S3 
 
 0-503 
 
 0-50 
 
 2*34 
 
 16 
 
 43-10713 
 
 4-49073 
 
 2-82 
 
 0-3I 
 
 0-391 
 
 0-4201 
 
 0-424 
 
 75-00 
 
 0-69 
 
 i'53 
 
 1-503 
 
 1-50 
 
 3'34 
 
 17 
 
 144-48189 
 
 5-49073 
 
 3-82 
 
 I- 3 I 
 
 '"39 1 
 
 I-42O1 
 
 1-424 
 
 76-00 
 
 1-69 
 
 2-53 
 
 2-503 
 
 2-50 
 
 0-75 
 
 18 
 
 245-85665 
 
 6-49073 
 
 0-31 
 
 2-31 
 
 2-391 
 
 2-42OI 
 
 2-424 
 
 77-00 
 
 0-92 
 
 0-03 
 
 0-O03 
 
 O'OO 
 
 '75 
 
 19 
 
 347-*3i4i 
 
 0-43980 
 
 1-31 
 
 3-3I 
 
 3'39' 
 
 3-4201 
 
 3-424 
 
 78-00 
 
 0-16 
 
 1-03 
 
 I-OO3 
 
 i-oo 
 
 2*75 
 
 2O 
 
 88-60617 
 
 1-43980 
 
 2-31 
 
 0-75 
 
 0-838 
 
 0-8687 
 
 0-873 
 
 79-00 
 
 1-16 
 
 2-03 
 
 2*003 
 
 2'OO 
 
 0-17 
 
 21 
 
 189-98093 
 
 2-43980 
 
 3-3i 
 
 175 
 
 1-838 
 
 1-8687 
 
 1-873 
 
 80-00 
 
 o-39 
 
 3-03 
 
 3-003 
 
 3-00 
 
 1-17 
 
 22 
 
 29 ! '3557o 
 
 3 - 439 8 o 
 
 4'3i 
 
 275 
 
 2-838 
 
 2-8687 
 
 2-873 
 
 8roo 
 
 1-39 
 
 '53 
 
 0*503 
 
 0-50 
 
 2-17 
 
 23 
 
 32-73046 
 
 4-43980 
 
 0-80 
 
 O-2O 
 
 0-285 
 
 0-3173 
 
 0-321 
 
 82-00 
 
 0*62 
 
 'S3 
 
 I-503 
 
 1-50 
 
 3*17 
 
 24 
 
 134-10522 
 
 5-43980 
 
 i -80 
 
 I -2O 
 
 1-285 
 
 I-3I73 
 
 1-321 
 
 83-00 
 
 1*62 
 
 2-53 
 
 2*503 
 
 2-50 
 
 0*59 
 
 25 
 
 235'47998 
 
 6-43980 
 
 2-80 
 
 2-2O 
 
 2-285 
 
 2-3I73 
 
 2-321 
 
 84-00 
 
 0*85 
 
 0*04 
 
 O*OO3 
 
 o-oo 
 
 1*59 
 
 26 
 
 336-85474 
 
 0-38887 
 
 3-80 
 
 3'2O 
 
 3-285 
 
 3'3>73 
 
 3'3-si 
 
 85-00 
 
 0-08 
 
 1-04 
 
 I*OO3 
 
 i-oo 
 
 2*59 
 
 27 
 
 78-22950 
 
 1-38887 
 
 0-29 
 
 0-64 
 
 0-732 
 
 07658 
 
 0-770 
 
 86-00 
 
 i -08 
 
 2-04 
 
 2*OO3 
 
 2'OO 
 
 0*00 
 
 28 
 
 179-60427 
 
 2-38887 
 
 1-29 
 
 I-6 4 
 
 1-732 
 
 1-7658 
 
 1-770 
 
 87-00 
 
 0-31 
 
 3-04 
 
 3*003 
 
 3-00 
 
 1*00 
 
 29 
 
 280-97903 
 
 3-38887 
 
 2-29 
 
 2-64 
 
 2-732 
 
 27658 
 
 2-770 
 
 88-00 
 
 1*31 
 
 0-54 
 
 0*503 
 
 0-50 
 
 2*00 
 
 3O 
 
 22-35379 
 
 4-38887 
 
 3'*9 
 
 0-08 
 
 0-179 
 
 0*2144 
 
 0-219 
 
 89-00 
 
 0*54 
 
 I- 54 
 
 I-503 
 
 1-50 
 
 3*oo 
 
 31 
 
 12372855 
 
 5-38887 
 
 4-29 
 
 I -08 
 
 1-179 
 
 1-2144 
 
 1-219 
 
 90*00 
 
 '54 
 
 2-54 
 
 2-503 
 
 2-50 
 
 0-42 
 
 April 1 
 
 225-10331 
 
 6-38887 
 
 0-78 
 
 2-08 
 
 2-179 
 
 2-2144 
 
 2-219 
 
 91-00 
 
 0-77 
 
 0-04 
 
 O-OO3 
 
 O'OO 
 
 1-42 
 
 2 
 
 326-47807 
 
 0-33795 
 
 1-78 
 
 3-08 
 
 3-I79 
 
 3-2I44 
 
 3-219 
 
 92-00 
 
 O'OO 
 
 1-04 
 
 I-OO3 
 
 roo 
 
 2-42 
 
 3 
 
 67-85284 
 
 '33795 
 
 2-78 
 
 0-53 
 
 0-626 
 
 0-6630 
 
 0-668 
 
 93-00 
 
 i-oo 
 
 2-04 
 
 2-003 
 
 2'OO 
 
 3-42 
 
 4 
 
 169-22760 
 
 *-33795 
 
 378 
 
 i'53 
 
 1-626 
 
 1-6630 
 
 1-668 
 
 94-00 
 
 0-23 
 
 3-04 
 
 3-003 
 
 3-00 
 
 0-84 
 
 5 
 
 270-60236 
 
 3-33795 
 
 0-27 
 
 2-53 
 
 2-626 
 
 2-6630 
 
 2-668 
 
 95-00 
 
 1-23 
 
 0-54 
 
 0*503 
 
 0-50 
 
 1-84 
 
 6 
 
 11-97712 
 
 4-33795 
 
 1-27 
 
 3-53 
 
 0-074 
 
 o - ni6 
 
 0-116 
 
 96-00 
 
 0-46 
 
 '54 
 
 I-503 
 
 1-50 
 
 2-84 
 
 7 
 
 113-35188 
 
 5-33795 
 
 2-27 
 
 0-97 
 
 1-074 
 
 1-1116 
 
 rii6 
 
 97-00 
 
 1-46 
 
 2-54 
 
 2-5 3 
 
 2-50 
 
 0*25 
 
 8 
 
 214-72664 
 
 6-33795 
 
 3-27 
 
 1-97 
 
 2-074 
 
 2'I I l6 
 
 2-116 
 
 98-00 
 
 0-69 
 
 0-04 
 
 0*OO3 
 
 O'OO 
 
 1*25 
 
 9 
 
 316-10141 
 
 0-28702 
 
 4-27 
 
 2-97 
 
 3-074 
 
 3-1116 
 
 3-1 16 
 
 99-00 
 
 1-69 
 
 1-04 
 
 I-OO3 
 
 roo 
 
 2-25 
 
 1O 
 
 57-47617 
 
 1-28702 
 
 0-76 
 
 0-41 
 
 0-521 
 
 0-5601 
 
 0-565 
 
 100-00 
 
 0-93 
 
 2-04 
 
 2-003 
 
 2-OO 
 
 3*25 
 
 11 
 
 158-85093 
 
 2-28702 
 
 1-76 
 
 1-41 
 
 1-521 
 
 1-5601 
 
 1-565 
 
 I O I 'CO 
 
 0*16 
 
 3'4 
 
 3-003 
 
 3-00 
 
 0*67 
 
 12 
 
 260-22569 
 
 3-28702 
 
 2-76 
 
 2-41 
 
 2-521 
 
 2-5601 
 
 2-565 
 
 102*00 
 
 1-16 
 
 0-54 
 
 0-503 
 
 0*50 
 
 1*67 
 
 13 
 
 1-60045 
 
 4-28702 
 
 3-76 
 
 3'4i 
 
 3-521 
 
 0-0087 
 
 0-014 
 
 103*00 
 
 0*39 
 
 '54 
 
 '53 
 
 1*50 
 
 2-67 
 
 14 
 
 102-97521 
 
 5-28702 
 
 0-25 
 
 0-86 
 
 0-968 
 
 1-0087 
 
 1-014 
 
 104*00 
 
 i'39 
 
 2'54 
 
 2*503 
 
 2*50 
 
 0-09 
 
 15 
 
 204-34998 
 
 6-28702 
 
 1-25 
 
 1-86 
 
 1-968 
 
 2-0087 
 
 2*014 
 
 105-00 
 
 0-62 
 
 0-04 
 
 0-004 
 
 0*00 
 
 1-09 
 
 16 
 
 3057H74 
 
 0-23609 
 
 2-25 
 
 2-86 
 
 2-968 
 
 3-0087 
 
 3-014 
 
 106*00 
 
 1-62 
 
 1-04 
 
 1-004 
 
 I*OO 
 
 2-09 
 
 In Leap Year diminish the date in Columns i 
 84 
 
 15, by i day after Feb. 28. 
 
SATELLITE II 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 X continued Motions of Mean Longitude and the Arguments for Days 
 
 '5 
 
 16 
 
 17 
 
 iS 
 
 "9 
 
 M 
 
 21 
 
 22 
 
 Z 3 
 
 *4 
 
 *5 
 
 26 
 
 Day 
 
 P 
 
 Q 
 
 R 
 
 s 
 
 T 
 
 u 
 
 V 
 
 w 
 
 X 
 
 Y 
 
 Z 
 
 
 y d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 Feb. 23 
 
 0-148 
 
 0-73228 
 
 07409 
 
 0*734 
 
 073 
 
 074948 
 
 0-8 
 
 0736 
 
 073 
 
 i*5 
 
 0-6 
 
 24 
 
 0-151 
 
 173228 
 
 I740 9 
 
 '734 
 
 1-73 
 
 174948 
 
 1-8 
 
 1-736 
 
 173 
 
 *'S 
 
 1-6 
 
 25 
 
 0-153 
 
 2-73228 
 
 0-9656 
 
 0-959 
 
 0-96 
 
 2-74948 
 
 2-8 
 
 2736 
 
 273 
 
 O'O 
 
 2-6 
 
 26 
 
 0-156 
 
 0-18110 
 
 0-1903 
 
 0-183 
 
 0-18 
 
 0-19945 
 
 0-3 
 
 0-185 
 
 0-18 
 
 ro 
 
 o-i 
 
 27 
 
 0-159 
 
 riSiio 
 
 I-I903 
 
 1-183 
 
 1-18 
 
 I-I9945 
 
 i - 3 
 
 1-185 
 
 I'll 
 
 2-0 
 
 1*1 
 
 28 
 
 0-162 
 
 2'lSlIO 
 
 0-4150 
 
 0-408 
 
 0-41 
 
 2-19945 
 
 2-3 
 
 2-185 
 
 2-18 
 
 3'o 
 
 2'I 
 
 Mar. 1 
 
 0-164 
 
 3-18110 
 
 I-4I50 
 
 1-408 
 
 1-41 
 
 3-I9945 
 
 3'3 
 
 3-185 
 
 3-i8 
 
 o'S 
 
 3'i 
 
 2 
 
 0-167 
 
 0-62992 
 
 0-6397 
 
 0-632 
 
 0-63 
 
 0-64941 
 
 0-7 
 
 0-634 
 
 0-63 
 
 i'S 
 
 0-5 
 
 3 
 
 0-170 
 
 1-62992 
 
 1-6397 
 
 1-632 
 
 1-63 
 
 1-64941 
 
 17 
 
 ,-634 
 
 1-63 
 
 *'S 
 
 i'5 
 
 4 
 
 0-173 
 
 2-62992 
 
 0-8644 
 
 0-856 
 
 0-85 
 
 2-64941 
 
 27. 
 
 2-634 
 
 2-63 
 
 o-o 
 
 2'5 
 
 5 
 
 0-175 
 
 0-07874 
 
 O-oSgi 
 
 0-081 
 
 0-08 
 
 0-09938 
 
 O'2 
 
 0-083 
 
 0-08 
 
 i-o 
 
 O'O 
 
 6 
 
 0-178 
 
 1-07874 
 
 1-0891 
 
 1-081 
 
 i -08 
 
 1-09938 
 
 I "2 
 
 1-083 
 
 i -08 
 
 2-0 
 
 ro 
 
 ^ 
 
 0-181 
 
 2-07874 
 
 0-3138 
 
 0-305 
 
 0-30 
 
 2-09938 
 
 2'2 
 
 2-083 
 
 2-08 
 
 3-0 
 
 2-0 
 
 8 
 
 0-184 
 
 3-07874 
 
 I-338 
 
 1-305 
 
 1-30 
 
 3-09938 
 
 3'2 
 
 3-083 
 
 3-08 
 
 0-5 
 
 3 -o 
 
 9 
 
 0-186 
 
 0-52756 
 
 0-5385 
 
 0-530 
 
 o-53 
 
 0-54934 
 
 0-6 
 
 0-532 
 
 o-53 
 
 "'5 
 
 0-4 
 
 1O 
 
 0-189 
 
 1-52756 
 
 I-5385 
 
 i'530 
 
 I- 53 
 
 ''54934 
 
 1-6 
 
 1-532 
 
 'JJ 
 
 2'5 
 
 '4 
 
 11 
 
 0-192 
 
 2-52756 
 
 0-7631 
 
 0754 
 
 075 
 
 2-54934 
 
 2-6 
 
 2-532 
 
 2'53 
 
 O'O 
 
 2'4 
 
 12 
 
 0-195 
 
 3'52756 
 
 17631 
 
 754 
 
 175 
 
 3 - 54934 
 
 O'l 
 
 3-532 
 
 3'53 
 
 i-o 
 
 3'4 
 
 13 
 
 0-197 
 
 0-97638 
 
 0-9878 
 
 Q'979 
 
 0-98 
 
 0-99931 
 
 1*1 
 
 0-981 
 
 0-98 
 
 2-0 
 
 0-9 
 
 14 
 
 O'200 
 
 1-97638 
 
 O-2I25 
 
 0-203 
 
 O'ZO 
 
 1-99931 
 
 2 - I 
 
 1-981 
 
 1-98 
 
 3-0 
 
 1-9 
 
 15 
 
 0-203 
 
 2-97638 
 
 I-2I25 
 
 1-203 
 
 1-20 
 
 2-99931 
 
 3'I 
 
 2-981 
 
 2-98 
 
 0'5 
 
 2-9 
 
 16 
 
 0-205 
 
 0-42520 
 
 0-4372 0-428 
 
 0-43 
 
 0-44927 
 
 0-5 
 
 0-430 
 
 o-43 
 
 I'S 
 
 0-3 
 
 17 
 
 0-2O8 
 
 1-42520 
 
 '4372 
 
 1-428 
 
 ''43 
 
 1-44927 
 
 I'l 
 
 1-430 
 
 ''43 
 
 2'5 
 
 i'3 
 
 18 
 
 O-2II 
 
 2-42520 
 
 0-6619 
 
 0-652 
 
 0-65 
 
 2-44927 
 
 *'S 
 
 2-430 
 
 2-43 
 
 o-o 
 
 2'3 
 
 19 
 
 0-2I4 
 
 3-42520 
 
 1-6619 
 
 1-652 
 
 1-65 
 
 3'449 2 7 
 
 O'O 
 
 3'43 
 
 3'43 
 
 I'O 
 
 3'3 
 
 20 
 
 0-216 
 
 0-87402 
 
 0-8866 
 
 0-877 
 
 0-87 
 
 0-89924 
 
 I'O 
 
 0-879 
 
 0-88 
 
 2-0 
 
 07 
 
 21 
 
 0-2I9 
 
 1-87402 
 
 0-1113 
 
 O-IOI 
 
 o-io 
 
 1-89924 
 
 2-O 
 
 1-879 
 
 1-88 
 
 3' 
 
 17 
 
 22 
 
 0'222 
 
 2-87402 
 
 1-1113 
 
 I-IOI 
 
 no 
 
 2-89924 
 
 3 -0 
 
 2-879 
 
 2-88 
 
 0-5 
 
 27 
 
 23 
 
 0-225 
 
 0-32284 
 
 0-3360 
 
 0-326 
 
 0-32 
 
 0-34920 
 
 0-4 
 
 0-328 
 
 0-32 
 
 I'S 
 
 O'2 
 
 24 
 
 0-227 
 
 1-32284 
 
 1-3360 
 
 1-326 
 
 1-32 
 
 1-34920 
 
 i '4 
 
 1-328 
 
 1-32 
 
 2'5 
 
 I'2 
 
 25 
 
 0-23O 
 
 2-32284 
 
 0-5607 
 
 0-550 
 
 0-55 
 
 2-34920 
 
 2'4 
 
 2-328 
 
 2-32 
 
 O'O 
 
 2 '2 
 
 26 
 
 0-233 
 
 3-32284 
 
 1-5607 
 
 1-550 
 
 I- 55 
 
 3'34920 
 
 3'4 
 
 3-328 
 
 3-32 
 
 I'O 
 
 3 '\ 
 
 27 
 
 0-236 
 
 0-77166 
 
 07854 
 
 0775 
 
 0-77 
 
 0-79917 
 
 0-9 
 
 0778 
 
 0-77 
 
 2 4 O 
 
 0-6 
 
 28 
 
 0-238 
 
 177166 
 
 O'OIOI 
 
 1775 
 
 o-oo 
 
 1-79917 
 
 1-9 
 
 1-778 
 
 177 
 
 3' 
 
 1-6 
 
 29 
 
 0-241 
 
 277166 
 
 I-OIOI 
 
 0-999 
 
 I'OO 
 
 2-79917 
 
 2-9 
 
 2778 
 
 277 
 
 0-5 
 
 2-6 
 
 30 
 
 0-244 
 
 0-22047 
 
 0-2348 
 
 0-224 
 
 O-22 
 
 0-24913 
 
 '3 
 
 0-227 
 
 0-22 
 
 i*S 
 
 O'l 
 
 31 
 
 0-247 
 
 1-22047 
 
 1-2348 
 
 1-224 
 
 I'22 
 
 1-24913 
 
 11 
 
 1-227 
 
 I'22 
 
 *'5 
 
 i-i 
 
 April 1 
 
 0-249 
 
 2-22047 
 
 o'459S 
 
 0-448 
 
 0-45 
 
 2-24913 
 
 2'3 
 
 2-227 
 
 2'22 
 
 o-o 
 
 2'I 
 
 2 
 
 0*252 
 
 3-22047 
 
 ''4595 
 
 1-448 
 
 >'45 
 
 3-24913 
 
 3'3 
 
 3-227 
 
 3'22 
 
 I'O 
 
 3'i 
 
 3 
 
 0-255 
 
 0-66929 
 
 0-6842 
 
 0-672 
 
 0-67 
 
 0-69910 
 
 0-8 
 
 0-676 
 
 0-67 
 
 2'O 
 
 0-5 
 
 4 
 
 0-258 
 
 1-66929 
 
 1-6842 
 
 1-672 
 
 1-67 
 
 1-69910 
 
 1-8 
 
 1-676 
 
 ,-6 7 
 
 3-0 
 
 i'S 
 
 5 
 
 O-26O 
 
 2-66929 
 
 0-9089 
 
 0-897 
 
 0-89 
 
 2-69910 
 
 2-8 
 
 2-676 
 
 2-6 7 
 
 O'S 
 
 2'5 
 
 6 
 
 0-263 
 
 o'uSi i 
 
 0-1336 
 
 0'I2I 
 
 O'I2 
 
 0-14907 
 
 O'2 
 
 0-125 
 
 O'I2 
 
 I'S 
 
 O'O 
 
 7 
 
 O-266 
 
 i-i 181 1 
 
 1-1336 
 
 I'I2I 
 
 I'I2 
 
 1-14907 
 
 1-2 
 
 1-125 
 
 1-12 
 
 2-S 
 
 I'O 
 
 8 
 
 0-268 
 
 2-1 l8ll 
 
 0-3583 
 
 0-346 
 
 0-34 
 
 2-14907 
 
 2'2 
 
 2-125 
 
 2-12 
 
 O'O 
 
 2-0 
 
 9 
 
 0-27I 
 
 3-II8II 
 
 i'3583 
 
 1-346 
 
 I'34 
 
 3-14907 
 
 3'2 
 
 3-1*5 
 
 3-12 
 
 ro 
 
 3-0 
 
 1O 
 
 0-274 
 
 0-56693 
 
 0-5830 
 
 0-570 
 
 0-57 
 
 0-59903 
 
 07 
 
 0-574 
 
 0-57 
 
 2-0 
 
 0-4 
 
 11 
 
 0-277 
 
 1-56693 
 
 1-5830 
 
 I-570 
 
 ''57 
 
 1-59903 
 
 17 
 
 '574 
 
 1-57 
 
 3'o 
 
 '"4 
 
 12 
 
 0-279 
 
 2-56693 
 
 0-8077 
 
 0795 
 
 0-79 
 
 2-59903 
 
 27 
 
 2-574 
 
 2-57 
 
 0-5 
 
 2'4 
 
 13 
 
 0-282 
 
 0-01575 
 
 0-0324 
 
 O-Olg 
 
 O'02 
 
 0-04900 
 
 0'2 
 
 0-023 
 
 0-02 
 
 i'5 
 
 3 '4 
 
 14 
 
 0-285 
 
 I-OI575 
 
 1-0324 
 
 I-Oig 
 
 I -O2 
 
 i -04900 
 
 I '2 
 
 1-023 
 
 I -O2 
 
 2'5 
 
 0-8 
 
 15 
 
 0-288 
 
 2-01575 
 
 0-2571 
 
 0244 
 
 0-24 
 
 2-04900 
 
 2'2 
 
 2-023 
 
 2-O2 
 
 O'O 
 
 1-8 
 
 16 
 
 0-290 
 
 3-OI575 
 
 1-2571 
 
 1-244 
 
 1-24 
 
 3-04900 
 
 3'2 
 
 3-023 
 
 3-02 
 
 i-o 
 
 2'8 
 
 In Leap Year diminish the date in Columns i, 15, by i day after Feb. 28. 
 
SATELLITE II 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 X continued Motions of Mean Longitude and the Arguments for Days 
 
 I 
 
 z 
 
 3 
 
 4 
 
 5 
 
 6 7 
 
 8 
 
 9 
 
 10 
 
 ii 
 
 IZ 
 
 3 
 
 '4 
 
 Day 
 
 Mean Long. 
 
 A 
 
 B 
 
 c 
 
 D 
 
 E 
 
 F 
 
 G-J 
 
 K 
 
 L 
 
 M 
 
 N 
 
 o 
 
 April 17 
 
 o 
 
 4.7-09950 
 
 d 
 1-23609 
 
 d 
 3-25 
 
 d 
 0-30 
 
 d 
 0-415 
 
 d 
 0-4573 
 
 d 
 0-463 
 
 d 
 IO7-OO 
 
 d 
 0-85 
 
 A 
 2-O4 
 
 d 
 2-OO4 
 
 d 
 2'OO 
 
 d 
 
 3-09 
 
 18 
 
 148-47426 
 
 2-23609 
 
 4-25 
 
 I-30 
 
 I-4I5 
 
 1-4573 
 
 I-4 6 3 
 
 108-00 
 
 0-08 
 
 3-04 
 
 3-004 
 
 3" 
 
 0-50 
 
 19 
 
 249-84902 
 
 3-23609 
 
 073 
 
 2-30 
 
 2-4I5 
 
 2-4573 
 
 2-463 
 
 109-00 
 
 I -08 
 
 0-55 
 
 0-504 
 
 0-50 
 
 1-50 
 
 2O 
 
 351-22378 
 
 4-23609 
 
 1-73 
 
 3-30 
 
 3'4'S 
 
 3H573 
 
 3H63 
 
 1 10-00 
 
 0-3I 
 
 1-55 
 
 I-504 
 
 1-50 
 
 2-50 
 
 21 
 
 92-59855 
 
 5-23609 
 
 *73 
 
 074 
 
 0-862 
 
 0-9059 
 
 0-91 I 
 
 iii-oo 
 
 I-3I 
 
 2'55 
 
 2-504 
 
 2-50 
 
 3-50 
 
 22 
 
 193-9733' 
 
 6-23609 
 
 373 
 
 1-74 
 
 1-862 
 
 1-9059 
 
 1-911 
 
 1 I2'OO 
 
 0-54 
 
 0-O5 
 
 O-O04 
 
 o-oo 
 
 0-92 
 
 23 
 
 295-34807 
 
 0-18517 
 
 0-22 
 
 274 
 
 2-862 
 
 2-9059 
 
 2-911 
 
 1 13-00 
 
 1-54 
 
 1-05 
 
 1-004 
 
 I'OO 
 
 1-92 
 
 24 
 
 36-72283 
 
 1-18517 | I'22 
 
 0-18 
 
 0-309 
 
 0-3545 
 
 0-360 
 
 114-00 
 
 0-77 
 
 2-05 
 
 2-OO4 
 
 2-OO 
 
 2-92 
 
 25 
 
 138-09759 
 
 2-I85I7 
 
 2'22 
 
 1-18 
 
 1-309 
 
 1-3545 
 
 1-360 
 
 1 15-00 
 
 o-oo 
 
 3-05 
 
 3-004 
 
 3-00 
 
 0-34 
 
 26 
 
 239-47235 
 
 3-I85I7 
 
 3-22 
 
 2-18 
 
 2-309 
 
 z'3545 
 
 2-360 
 
 116-00 
 
 I -00 
 
 0-55 
 
 0-504 
 
 0-50 
 
 '34 
 
 27 
 
 340-84712 
 
 4-18517 
 
 4'22 
 
 fll 
 
 3-309 
 
 3-3545 
 
 3-360 
 
 117-00 
 
 0-23 
 
 i-55 
 
 I-504 
 
 1-50 
 
 2-34 
 
 28 
 
 82-22188 
 
 5-18517 
 
 071 
 
 0-63 
 
 0-757 
 
 0-8030 
 
 0-809 
 
 1 18-00 
 
 1-23 
 
 2-55 
 
 2-504 
 
 2-50 
 
 3'34 
 
 29 
 
 183-59664 
 
 6-18517 
 
 171 
 
 1-63 
 
 1757 
 
 1-8030 
 
 1-809 
 
 119-00 
 
 0-46 
 
 0-05 
 
 O-OO4 
 
 O'OO 
 
 075 
 
 3O 
 
 284-97140 
 
 0-13424 
 
 271 
 
 2-63 
 
 2-757 
 
 2-8030 
 
 2-809 
 
 1 20-00 
 
 1-46 
 
 1-05 
 
 I-OO4 
 
 roo 
 
 1-75 
 
 May 1 
 
 26-34616 
 
 I-I3424 
 
 371 
 
 0-07 
 
 0-204 
 
 0-2516 
 
 0-258 
 
 12 POO 
 
 0-70 
 
 2-05 
 
 2-OO4 
 
 2-OO 
 
 275 
 
 2 
 
 12772092 
 
 2-13424 
 
 O'2O 
 
 1-07 
 
 1-204 
 
 1-2516 
 
 1-258 
 
 122-00 
 
 1-70 
 
 3-05 
 
 3-004 
 
 3-00 
 
 0-17 
 
 3 
 
 229-09569 
 
 3-I3424 
 
 I -2O 
 
 2-07 
 
 2-204 
 
 2-2516 
 
 2-258 
 
 I23-OO 
 
 o-93 
 
 o"55 
 
 0-504 
 
 0-50 
 
 1-17 
 
 4 
 
 330-47045 
 
 4-13424 
 
 2'2O 
 
 3-07 
 
 3-204 
 
 3-2516 
 
 3-258 
 
 I24-OO 
 
 0-16 
 
 i-55 
 
 1-504 
 
 1-50 
 
 2-17 
 
 5 
 
 71-84521 
 
 5'I34 Z 4 
 
 3'zo 
 
 0-51 
 
 0-651 
 
 0-7002 
 
 0-706 
 
 I25-OO 
 
 1-16 
 
 2-55 
 
 2-504 
 
 2-50 
 
 3-17 
 
 6 
 
 173-21997 
 
 6-13424 
 
 4'2O 
 
 1-51 
 
 1-651 
 
 i -7002 
 
 1-706 
 
 I26-OO 
 
 o-39 
 
 0-05 
 
 O-OO4 
 
 o-oo 
 
 o-59 
 
 7 
 
 274-59473 
 
 0-08331 
 
 0-69 
 
 2-51 
 
 2-651 
 
 2-7002 
 
 2706 
 
 I27-00 
 
 i-39 
 
 1-05 
 
 I-OO4 
 
 roo 
 
 '"59 
 
 8 
 
 15-96949 
 
 1-08331 
 
 1-69 
 
 3-5i 
 
 0-098 
 
 0-1488 
 
 0-155 
 
 I28-OO 
 
 0-62 
 
 2-05 
 
 2-OO4 
 
 2-OO 
 
 2-59 
 
 9 
 
 117-34426 
 
 2-08331 
 
 2-69 
 
 0-96 
 
 1-098 
 
 1-1488 
 
 I-I55 
 
 129-00 
 
 1-62 
 
 3-05 
 
 3-004 
 
 3-00 
 
 o-o i 
 
 1O 
 
 218-71902 
 
 3-08331 
 
 3^9 
 
 1-96 
 
 2*098 
 
 2-1488 
 
 2-155 
 
 I3O-OO 
 
 0-85 
 
 0-55 
 
 0-504 
 
 0-50 
 
 I'OI 
 
 11 
 
 320-09378 
 
 4-08331 
 
 0-18 
 
 2-96 
 
 3-098 
 
 3-1488 
 
 3-155 
 
 1 3 1 -oo 
 
 0-08 
 
 '55 
 
 I-504 
 
 1-50 
 
 2-OI 
 
 12 
 
 61-46854 
 
 5-08331 
 
 1-18 
 
 0-40 
 
 o-545 
 
 0-5973 
 
 0-604 
 
 132-00 
 
 i -08 
 
 2'55 
 
 2-504 
 
 2-50 
 
 3-01 
 
 13 
 
 162-84330 
 
 6-08331 
 
 2-18 
 
 1-40 
 
 1-545 
 
 1-5973 
 
 1-604 
 
 133-00 
 
 0-31 
 
 0-06 
 
 O-OO5 
 
 o-oo 
 
 0-42 
 
 14 
 
 264-21806 
 
 0-03238 
 
 3-18 
 
 2-40 
 
 2-545 
 
 2-5973 
 
 2-604 
 
 134-00 
 
 1-31 
 
 i -06 
 
 I-OO5 
 
 roo 
 
 1-42 
 
 15 
 
 5-59283 
 
 1-03238 
 
 4-18 
 
 3-40 
 
 3-545 
 
 0-0459 
 
 0-053 
 
 13500 
 
 o-54 
 
 2-06 
 
 2-O05 
 
 2-OO 
 
 2-42 
 
 16 
 
 106-96759 
 
 2-03238 
 
 0-67 
 
 0-84 
 
 0-992 
 
 1-0459 
 
 1-053 
 
 136-00 
 
 i-54 
 
 3-06 
 
 3-005 
 
 3-00 
 
 3-42 
 
 17 
 
 208-34235 
 
 3-03*38 
 
 1-67 
 
 1-84 
 
 1-992 
 
 2-0459 
 
 2-053 
 
 137-00 
 
 077 
 
 0-56 
 
 0-505 
 
 0-50 
 
 0-84 
 
 18 
 
 309-71711 
 
 4-03238 
 
 2-67 
 
 2-84 
 
 2-992 
 
 3-0459 
 
 3^53 
 
 138-00 
 
 o-oo 
 
 1-56 
 
 I-505 
 
 1-50 
 
 1-84 
 
 19 
 
 51-09187 
 
 5-03238 
 
 3' 6 7 
 
 0-29 
 
 0-440 
 
 0-4945 
 
 O-5OI 
 
 139-00 
 
 roo 
 
 2-56 
 
 2-505 
 
 2-50 
 
 2-84 
 
 20 
 
 152-46663 
 
 6-03238 
 
 0-16 
 
 1-29 
 
 1-440 
 
 1-4945 
 
 1-50I 
 
 140-00 
 
 0-23 
 
 0-06 
 
 O-005 
 
 o-oo 
 
 0-26 
 
 21 
 
 253-84140 
 
 7-03238 
 
 1-16 
 
 2-29 
 
 2-440 
 
 2-4945 
 
 2-50I 
 
 141-00 
 
 1-23 
 
 i -06 
 
 I-OO5 
 
 roo 
 
 1-26 
 
 22 
 
 355-21616 
 
 0-98146 
 
 2-16 
 
 3-29 
 
 3-440 
 
 3-4945 
 
 3-501 
 
 142-00 
 
 0-46 
 
 2-06 
 
 2-OO5 
 
 2-OO 
 
 2-26 
 
 23 
 
 96-59092 
 
 1-98146 
 
 3-i6 
 
 0-73 
 
 0-887 
 
 0-9431 
 
 0'950 
 
 143-00 
 
 1-46 
 
 3-06 
 
 3-005 
 
 3-00 
 
 3-26 
 
 24 
 
 197-96568 
 
 2-98146 
 
 4*16 
 
 1-73 
 
 1-887 
 
 i-943i 
 
 1-950 
 
 144-00 
 
 0-70 
 
 0-56 
 
 0-505 
 
 0-50 
 
 0-67 
 
 25 
 
 299-34044 
 
 3-98146 
 
 0-65 
 
 273 
 
 2-887 
 
 2-943I 
 
 2-950 
 
 145-00 
 
 1-70 
 
 1-56 
 
 I-505 
 
 1-50 
 
 1-67 
 
 26 
 
 40-71520 
 
 4-98146 
 
 1-65 
 
 0-17 
 
 0-334 
 
 0-3916 
 
 0-399 
 
 146-00 
 
 0-93 
 
 2-56 
 
 2-505 
 
 2-50 
 
 2-67 
 
 27 
 
 142-08997 
 
 5-98146 
 
 2-65 
 
 1-17 
 
 1-334 
 
 1-3916 
 
 1-399 
 
 147-00 
 
 0-16 
 
 0-06 
 
 0-OO5 
 
 O'OO 
 
 0-09 
 
 28 
 
 243-46473 
 
 6-98146 
 
 3-65 
 
 2-17 
 
 z'334 
 
 2-3916 
 
 2-399 
 
 148-00 
 
 1-16 
 
 i -06 
 
 I-O05 
 
 roo 
 
 1-09 
 
 29 
 
 344-83949 
 
 o-9353 
 
 0-13 
 
 3-I7 
 
 3-334 
 
 3-3916 
 
 3-399 
 
 149-00 
 
 o-39 
 
 2-06 
 
 2-005 
 
 2-OO 
 
 2-09 
 
 30 
 
 86-21425 
 
 1-93053 
 
 1-13 
 
 0-62 
 
 0-781 
 
 0-8402 
 
 0-848 
 
 150-00 
 
 i-39 
 
 3-06 
 
 3-005 
 
 3-00 
 
 3-09 
 
 31 
 
 187-58901 
 
 2-93053 
 
 2-13 
 
 1-62 
 
 1-781 
 
 1-8402 
 
 1-848 
 
 1 5 1 -oo 
 
 0-62 
 
 0-56 
 
 0-505 
 
 0-50 
 
 0-51 
 
 June 1 
 
 288-96377 
 
 3-93053 
 
 3''3 
 
 2-62 
 
 2-781 
 
 2-8402 
 
 2-848 
 
 152-00 
 
 1-62 
 
 1-56 
 
 I-505 
 
 1-50 
 
 1-51 
 
 2 
 
 3o - 33854 
 
 4'93053 
 
 4-13 
 
 0-06 
 
 0-228 
 
 0-2888 
 
 0-296 
 
 153-00 
 
 0-85 
 
 2-56 
 
 2-50S 
 
 2-50 
 
 2-51 
 
 3 
 
 131-71330 
 
 5-93053 
 
 0-62 
 
 i -06 
 
 1-228 
 
 1-2888 
 
 1-296 
 
 154-00 
 
 0-08 
 
 0-07 
 
 0-OO5 
 
 O'OO 
 
 3-51 
 
 4 
 
 233-08806 
 
 6-93053 
 
 1-62 
 
 2-06 
 
 2-228 
 
 2-2888 
 
 2-296 
 
 1 5 5-00 
 
 i -08 
 
 1-07 
 
 I-005 
 
 roo 
 
 0-92 
 
 5 
 
 334-46282 
 
 0-87960 
 
 2-62 
 
 3-06 
 
 3-228 
 
 3-2888 
 
 3-296 
 
 156-00 
 
 0-31 
 
 2-07 
 
 2-O05 
 
 2-OO 
 
 1-92 
 
 6 
 
 75-83758 
 
 1-87960 
 
 3-62 
 
 0-50 
 
 0-675 
 
 07374 
 
 0-745 
 
 157-00 
 
 1-31 
 
 3-07 
 
 3-005 
 
 3"oo 
 
 2-92 
 
 7 
 
 177-21234 
 
 2-87960 
 
 O'll 
 
 I'SO 
 
 1-675 
 
 17374 
 
 i-745 
 
 158-00 
 
 0-54 
 
 0-57 
 
 0-505 
 
 0-50 
 
 0-34 
 
 
 
 
 
 | 
 
 
 
 
 
 
 
 
 
 In Leap Year diminish the date in Columns i, 15, by i day after Feb. 28. 
 86 
 
SATELLITE II 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 X continued Motions of Mean Longitude and the Arguments for Days 
 
 >5 
 
 16 
 
 '7 
 
 il 
 
 '9 
 
 20 
 
 21 
 
 22 
 
 23 
 
 24 
 
 25 26 
 
 Day 
 
 P 
 
 Q 
 
 R 
 
 s 
 
 T 
 
 u 
 
 V 
 
 w 
 
 X 
 
 Y 
 
 Z 
 
 April 17 
 
 y 
 0-293 
 
 d 
 0*46457 
 
 d 
 0-4818 
 
 d 
 0*468 
 
 d 
 0-47 
 
 d 
 0*49896 
 
 d 
 
 0*6 
 
 d 
 0-472 
 
 d 
 
 0*47 
 
 d 
 2'O 
 
 d 
 
 0*3 
 
 18 
 
 0-296 
 
 1-46457 
 
 1-4818 
 
 1-468 
 
 1-47 
 
 1*49896 
 
 1*6 
 
 1*472 
 
 1*47 
 
 3*0 
 
 I*J 
 
 19 
 
 0-299 
 
 2-46457 
 
 0-7065 
 
 0*693 
 
 0-69 
 
 2-49896 
 
 2-6 
 
 2-472 
 
 2*47 
 
 0-5 
 
 2-3 
 
 20 
 
 0*301 
 
 3^457 
 
 1-7065 
 
 1*693 
 
 1-69 
 
 3*49896 
 
 o-i 3*472 
 
 3H7 
 
 i'5 
 
 3'3 
 
 21 
 
 0*304 
 
 0-91339 
 
 0*9312 
 
 0*917 
 
 0-91 
 
 0-94893 
 
 1*1 
 
 0-921 
 
 0*92 
 
 2'5 
 
 07 
 
 22 
 
 0-307 
 
 i'9'339 
 
 0*1559 
 
 0-142 
 
 O-I4 
 
 1*94893 
 
 2*1 
 
 1-921 
 
 1-92 
 
 o-o 
 
 17 
 
 23 
 
 0*310 
 
 2*91339 
 
 1-1559 
 
 I*I42 
 
 1*14 
 
 2*94893 
 
 3' 1 
 
 2-921 
 
 2*92 
 
 1*0 
 
 27 
 
 24 
 
 0*312 
 
 0-36221 
 
 0*3806 
 
 0-366 
 
 0*36 
 
 0*39889 
 
 0-5 
 
 0-370 
 
 0-36 
 
 2*0 
 
 O'2 
 
 25 
 
 0*315 
 
 1*36221 
 
 I*38o6 
 
 I-366 
 
 1-36 
 
 1-39889 
 
 1-5 
 
 1-370 
 
 1-36 
 
 3-0 
 
 1-2 
 
 26 
 
 0*318 
 
 2*36221 
 
 0-6052 
 
 0-591 
 
 0-59 
 
 2*39889 
 
 2-5 
 
 2-370 
 
 2*36 
 
 0*5 
 
 2*2 
 
 27 
 
 0-321 
 
 3*36221 
 
 I*6O52 
 
 I-59I 
 
 1*59 
 
 3*39889 
 
 0*0 
 
 3-370 
 
 3-36 
 
 '5 
 
 3*2 
 
 28 
 
 0-323 
 
 0*81103 
 
 0-8299 
 
 0-815 
 
 0*81 
 
 0-84886 
 
 1*0 
 
 0-819 
 
 0*8 1 
 
 2*5 
 
 0*6 
 
 29 
 
 0-326 
 
 1*81 103 
 
 0*0546 
 
 0-040 
 
 0-04 
 
 1*84886 
 
 2*0 
 
 1*819 
 
 ft! 
 
 0*0 
 
 1-6 
 
 30 
 
 0-329 
 
 2*81103 
 
 1*0546 
 
 1*040 
 
 1-04 
 
 2*84886 
 
 3*0 
 
 2-819 
 
 2*81 
 
 ro 
 
 2*6 
 
 May 1 
 
 0-332 
 
 0-25985 
 
 0-2793 
 
 0*264 
 
 0-26 
 
 0*29882 
 
 0*4 
 
 0-268 
 
 0*26 
 
 2*0 
 
 O*I 
 
 2 
 
 0-334 
 
 1-25985 
 
 '2793 
 
 1*264 
 
 1*26 
 
 1-29882 
 
 i*4 
 
 1-268 
 
 1*26 
 
 3-0 
 
 1*1 
 
 3 
 
 0-337 
 
 2-25985 0-5040 
 
 0-488 
 
 0-49 
 
 2-29882 
 
 2*4 
 
 2-268 
 
 2*26 
 
 "5 
 
 2*1 
 
 4 
 
 0-340 
 
 3-25985 1-5040 
 
 1*488 
 
 1*49 
 
 3-29882 
 
 3 '4 
 
 3-268 
 
 3-26 
 
 *"5 
 
 3" 1 
 
 5 
 
 0-342 
 
 070866 
 
 07287 
 
 0713 
 
 071 
 
 074879 
 
 0*9 
 
 0-717 
 
 071 
 
 2-5 
 
 '5 
 
 6 
 
 0-345 
 
 170866 
 
 17287 
 
 1713 
 
 1*71 
 
 I-74879 
 
 1*9 
 
 1717 
 
 171 
 
 O'O 
 
 i '5 
 
 7 
 
 0-348 
 
 2-70866 
 
 0-9534 
 
 0-937 
 
 0-93 
 
 274879 
 
 2*9 
 
 2717 
 
 271 
 
 I*O 
 
 2-5 
 
 8 
 
 0*351 
 
 0-15748 
 
 0-I78I 
 
 O-l62 
 
 0*16 
 
 0-19875 
 
 0*3 
 
 0*166 
 
 0-16 
 
 2*0 
 
 3'5 
 
 9 
 
 0-353 
 
 1*15748 
 
 I-I78I 
 
 I-l62 
 
 1-16 
 
 1*19875 
 
 1-3 
 
 1*166 
 
 1-16 
 
 3' 
 
 0*9 
 
 1O 
 
 0-356 
 
 2-15748 
 
 0-4028 
 
 0-386 
 
 0-38 
 
 2*19875 
 
 2*3 
 
 2-166 
 
 2*16 
 
 o'5 
 
 1*9 
 
 11 
 
 o-359 
 
 3-I5748 
 
 1-4028 
 
 1-386 
 
 1*38 
 
 3-I9875 
 
 3'3 
 
 3-166 
 
 3-16 
 
 ''5 
 
 2*9 
 
 12 
 
 0-362 
 
 0*60630 
 
 0-6275 
 
 0-611 
 
 0-6 1 
 
 0*64872 
 
 0*8 
 
 0-615 
 
 0-6 1 
 
 2-5 
 
 0-4 
 
 13 
 
 0-364 
 
 1-60630 
 
 J*6275 
 
 1-611 
 
 1*61 
 
 1-64872 
 
 1-8 
 
 1*615 
 
 1*61 
 
 0*0 
 
 i '4 
 
 14 
 
 0-367 
 
 2-60630 
 
 0*8522 
 
 0*835 
 
 0*83 
 
 2*64872 
 
 2*8 
 
 2-615 
 
 2*61 
 
 1*0 
 
 2 "4 
 
 15 
 
 0-370 
 
 0-05512 
 
 0*0769 
 
 0*060 
 
 0*06 
 
 0*09869 
 
 O-2 
 
 0*064 
 
 0*06 
 
 2*0 
 
 3'4 
 
 16 
 
 o-373 
 
 1-05512 
 
 1-0769 
 
 i -060 
 
 1*06 
 
 1*09869 
 
 1*2 
 
 1-064 
 
 1*06 
 
 3 -0 
 
 0-8 
 
 17 
 
 o-375 
 
 2-05512 
 
 0-3016 
 
 0*284 
 
 0*28 
 
 2*09869 
 
 2*2 
 
 2-064 
 
 2-06 
 
 0-5 
 
 1*8 
 
 18 
 
 0*378 
 
 3-05512 
 
 I-30l6 
 
 1*284 
 
 1*28 
 
 3*09869 
 
 3'* 
 
 3-064 
 
 3*06 
 
 *'5 
 
 2-8 
 
 19 
 
 0*381 
 
 0-50394 
 
 0*5263 
 
 0*509 
 
 0*51 
 
 0*54865 
 
 0*7 
 
 0-514 
 
 0-51 
 
 2 '5 
 
 0-3 
 
 20 
 
 0-384 
 
 1*50394 
 
 1-5263 
 
 1*509 
 
 1*51 
 
 1*54865 
 
 17 
 
 1-514 
 
 1-51 
 
 o-o 
 
 '"3 
 
 21 
 
 0-386 
 
 2*50394 
 
 0*7510 
 
 0733 
 
 073 
 
 2-54865 
 
 27 
 
 2*514 
 
 2*51 
 
 i-o 
 
 2*3 
 
 22 
 
 0*389 
 
 3-50394 
 
 1*7510 
 
 1733 
 
 173 
 
 3'54865 
 
 O'l 
 
 3-5M 
 
 3-5' 
 
 2-0 
 
 3'3 
 
 23 
 
 0*392 
 
 0*95276 
 
 0*9757 
 
 0*958 
 
 o-95 
 
 0*99862 
 
 1*1 
 
 0*963 
 
 0*96 
 
 3-0 
 
 07 
 
 24 
 
 0*395 
 
 1*95276 
 
 0-2004 
 
 0-182 
 
 0-18 
 
 1*99862 
 
 2*1 
 
 1*963 
 
 1-96 
 
 0*5 
 
 17 
 
 25 
 
 0-397 
 
 2*95276 
 
 1*2004 
 
 1*182 
 
 1*18 
 
 2-99862 
 
 3*1 
 
 2*963 
 
 2*96 
 
 i'5 
 
 a 7 
 
 26 
 
 0-400 
 
 0*40158 
 
 0*4251 
 
 0*407 
 
 0*40 
 
 0*44858 
 
 0*6 
 
 0*412 
 
 0*40 
 
 2'5 
 
 O'2 
 
 27 
 
 0-403 
 
 1*40158 
 
 1-4251 
 
 1*407 
 
 1*40 
 
 1*44858 
 
 1-6 
 
 1*412 
 
 1*40 
 
 3'5 
 
 1-2 
 
 28 
 
 0-405 
 
 2*40158 
 
 0-6498 
 
 0*631 
 
 0*63 2-44858 
 
 2*6 
 
 2-412 
 
 2-40 
 
 0*9 
 
 2'2 
 
 29 
 
 0-408 
 
 3*40158 
 
 i -6498 
 
 1-631 
 
 1-63 3-44858 
 
 O'O 
 
 3"4 12 
 
 340 
 
 1*9 
 
 3'2 
 
 30 
 
 0-411 
 
 0-85040 
 
 0-8745 ! 0-856 
 
 0-85 0-89855 
 
 i-o 
 
 0-861 
 
 0*85 
 
 2*9 
 
 0-6 
 
 31 
 
 0*414 
 
 1*85040 
 
 0-0992 
 
 0-080 
 
 0-08 
 
 1*89855 
 
 2*0 
 
 1-861 
 
 1*85 
 
 0*4 
 
 1-6 
 
 June 1 
 
 0*416 
 
 2*85040 
 
 1-0992 
 
 i -080 
 
 i -08 
 
 2*89855 
 
 3-0 
 
 2-861 
 
 2*85 
 
 i-4 
 
 2*6 
 
 2 
 
 0*419 
 
 0*29922 
 
 0-3239 
 
 0-304 
 
 0*30 
 
 0*34851 
 
 0-5 
 
 0*310 
 
 0*30 
 
 2-4 
 
 o-o 
 
 3 
 
 0*422 
 
 1*29922 
 
 1-3239 
 
 1-304 
 
 1*30 
 
 I-3485I 
 
 1-5 
 
 1-310 
 
 1*30 
 
 3'4 
 
 I'O 
 
 4 
 
 0-425 
 
 2*29922 
 
 0*5486 
 
 0-529 
 
 0-52 
 
 2-34851 
 
 2-5 
 
 2-310 
 
 2-30 
 
 0*9 
 
 2*0 
 
 5 
 
 0-427 
 
 3-29922 
 
 1-5486 
 
 1*529 
 
 1-52 
 
 3-3485 1 
 
 o-o 
 
 3-310 
 
 3'3Q 
 
 1-9 
 
 3-0 
 
 6 
 
 0-430 
 
 0*74804 
 
 0-7733 
 
 0753 
 
 o-75 
 
 079848 
 
 I-O 
 
 0759 
 
 0*75 
 
 2-9 
 
 0-5 
 
 7 
 
 "433 
 
 174804 
 
 '7733 
 
 '753 
 
 '75 
 
 179848 
 
 2*0 
 
 '759 
 
 1*75 
 
 0*4 
 
 1-5 
 
 In Leap Year diminish the date in Columns i, 15, by i day after Feb. 28. 
 87 
 
SATELLITE II 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 X continued Motions of Mean Longitude and the Arguments for Days 
 
 I 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 s 
 
 9 
 
 10 
 
 II 
 
 12 
 
 '3 
 
 '4 
 
 Day 
 
 Mean Long. 
 
 A 
 
 B 
 
 c 
 
 D 
 
 E 
 
 F 
 
 G-J 
 
 K 
 
 L 
 
 M 
 
 N 
 
 
 
 
 o 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 June 8 
 
 278-58711 
 
 3-87960 
 
 I'll 
 
 2-50 
 
 2-675 
 
 z-7374 
 
 2745 
 
 I59-OO 
 
 1-55 
 
 I"57 
 
 I-50 5 
 
 I-50 
 
 1-34 
 
 9 
 
 19-96187 
 
 4-87960 
 
 2'I I 
 
 3'5 
 
 O-I23 
 
 0-1860 
 
 0-194 
 
 lOO'OO 
 
 0-78 
 
 2'57 
 
 2-505 
 
 2-50 
 
 2-34 
 
 10 
 
 121-33663 
 
 5-87960 
 
 3-1 1 
 
 0-95 
 
 I-I23 
 
 1-1860 
 
 I-I94 
 
 l6l-OO 
 
 O'Ol 
 
 O-O7 
 
 O-O05 
 
 O'OO 
 
 3-34 
 
 11 
 
 222-71 139 
 
 6-87960 
 
 4-11 
 
 1-95 
 
 2-123 
 
 2-1860 
 
 2-194 
 
 I62-OO 
 
 roi 
 
 1-07 
 
 I-OO5 
 
 I -00 
 
 0-76 
 
 12 
 
 324-08615 
 
 0-82868 
 
 0-60 
 
 2-95 
 
 3-I23 
 
 3-1860 
 
 3-I94 
 
 163-00 
 
 0-24 
 
 2-07 
 
 2-OO5 
 
 2'OO 
 
 176 
 
 13 
 
 65-46091 
 
 1-82868 
 
 i -60 
 
 0-39 
 
 0-570 
 
 -6345 
 
 0-643 
 
 164-00 
 
 1-24 
 
 3"0- 
 
 3-005 
 
 3"OO 
 
 2-76 
 
 14 
 
 166-83568 
 
 2-82868 
 
 2 "60 
 
 '39 
 
 I-570 
 
 I-6345 
 
 1-643 
 
 165-00 
 
 o-47 
 
 0-57 
 
 0-506 
 
 0-50 
 
 0-17 
 
 15 
 
 268-21044 
 
 3-82868 
 
 3'6O 
 
 z'39 
 
 2-570 
 
 2-6345 
 
 2-643 
 
 i66'oo 
 
 '"47 
 
 >-57 
 
 1-506 
 
 I-50 
 
 1-17 
 
 16 
 
 9-58520 
 
 4-82868 
 
 O-O9 
 
 3'39 
 
 0-OI7 
 
 0-0831 
 
 O-Ogi 
 
 167-00 
 
 0-70 
 
 2-57 
 
 2-506 
 
 2- 5 
 
 2-17 
 
 17 
 
 110-95996 
 
 5-82868 
 
 I-09 
 
 0-83 
 
 I-OI7 
 
 1-0831 
 
 1-091 
 
 168-00 
 
 1-70 
 
 0-07 
 
 0-006 
 
 O'OO 
 
 3-17 
 
 18 
 
 212-33472 
 
 6-82868 
 
 2-O9 
 
 1-83 
 
 2-O17 
 
 2-0831 
 
 2-091 
 
 169-00 
 
 0-93 
 
 1-07 
 
 1-006 
 
 I'OO 
 
 0-59 
 
 19 
 
 313-70948 
 
 077775 
 
 3-09 
 
 2-83 
 
 3-OI7 
 
 3-0831 
 
 3-091 
 
 170-00 
 
 0-16 
 
 2-07 
 
 2-006 
 
 2'OO 
 
 1-59 
 
 20 
 
 55-08425 
 
 177775 
 
 4-09 
 
 0-28 
 
 0-464 
 
 0-5317 
 
 0-540 
 
 171-00 
 
 1-16 
 
 3-07 
 
 3-006 
 
 3'OO 
 
 2-59 
 
 21 
 
 156-45901 
 
 2-77775 
 
 0-58 
 
 1-28 
 
 1-464 
 
 1-5317 
 
 I-540 
 
 172-00 
 
 0-39 
 
 0-57 
 
 0-506 
 
 0-50 
 
 o-o i 
 
 22 
 
 257-83377 
 
 377775 
 
 I- 5 8 
 
 2-28 
 
 2-464 
 
 2-5317 
 
 2-540 
 
 173-00 
 
 ''39 
 
 i-S7 
 
 1-506 
 
 1-50 
 
 1-01 
 
 23 
 
 359-20853 
 
 4-77775 
 
 2-58 
 
 3-28 
 
 3-4 6 4 
 
 3-53I7 
 
 3-540 
 
 174-00 
 
 0-62 
 
 2'57 
 
 2-506 
 
 2-50 
 
 2-OI 
 
 24 
 
 100-58329 
 
 577775 
 
 3-58 
 
 0-72 
 
 0-911 
 
 0-9803 
 
 0-989 
 
 175-00 
 
 1-62 
 
 0-07 
 
 0-006 
 
 o-oo 
 
 3-01 
 
 25 
 
 201-95805 
 
 6-77775 
 
 O-O? 
 
 172 
 
 1-911 
 
 1-9803 
 
 1-989 
 
 176-00 
 
 0-85 
 
 1-07 
 
 i -006 
 
 i-oo 
 
 0-42 
 
 26 
 
 303-33282 
 
 0-72682 
 
 1-07 
 
 272 
 
 2-911 
 
 2-9803 
 
 2-989 
 
 177-00 
 
 0-09 
 
 2-07 
 
 2 -006 
 
 2-OO 
 
 1-42 
 
 27 
 
 44-70758 
 
 1-72682 
 
 2-O7 
 
 0-16 
 
 0-358 
 
 0-4288 
 
 0-438 
 
 178-00 
 
 1-09 
 
 3-07 
 
 3-006 
 
 3"OO 
 
 2-42 
 
 28 
 
 146-08234 
 
 2-72682 
 
 3-07 
 
 1-16 
 
 I-358 
 
 1-4288 
 
 I-438 
 
 179-00 
 
 0-32 
 
 0-58 
 
 0-506 
 
 0-50 
 
 3-42 
 
 29 
 
 247-45710 
 
 3-72682 
 
 4-07 
 
 2-16 
 
 2-358 
 
 2-4288 
 
 2-438 
 
 180-00 
 
 1-32 
 
 1-58 
 
 1-506 
 
 1-50 
 
 0-84 
 
 3O 
 
 348-83186 
 
 4-72682 
 
 0-56 
 
 3-i6 
 
 3-358 
 
 3-4288 
 
 3-438 
 
 181-00 
 
 0-55 
 
 2-58 
 
 2-506 
 
 2-50 
 
 1-84 
 
 July 1 
 
 90*20662 
 
 5-72682 
 
 ,- 5 6 
 
 o - 6i 
 
 0-806 
 
 0-8774 
 
 0-886 
 
 182-00 
 
 I- 55 
 
 0-08 
 
 0-006 
 
 o-oo 
 
 2-84 
 
 2 
 
 191-58139 
 
 6-72682 
 
 2- 5 6 
 
 1-61 
 
 i -806 
 
 1-8774 
 
 1-886 
 
 183-00 
 
 0-78 
 
 i -08 
 
 1-006 
 
 I'OO 
 
 0-26 
 
 3 
 
 292-95615 
 
 0-67589 
 
 3-56 
 
 2-61 
 
 2-806 
 
 2-8774 
 
 2-886 
 
 184-00 
 
 O'OI 
 
 2-08 
 
 2-006 
 
 2'OO 
 
 1-26 
 
 4 
 
 34"3309i 
 
 1-67589 
 
 O-O5 
 
 0-05 
 
 0-253 
 
 0*3260 
 
 o-335 
 
 185-00 
 
 I-OI 
 
 3-08 
 
 3-006 
 
 3-00 
 
 2-26 
 
 5 
 
 13570567 
 
 2-67589 
 
 1-05 
 
 1-05 
 
 m 
 
 i'253 
 
 1-3260 
 
 1-335 
 
 186-00 
 
 0-24 
 
 0-58 
 
 0-506 
 
 0-50 
 
 3-26 
 
 6 
 
 237-08043 
 
 3-67589 
 
 2-05 
 
 2-05 
 
 2-253 
 
 2-3260 
 
 2-335 
 
 187-00 
 
 1-24 
 
 1-58 
 
 1-506 
 
 I-50 
 
 0-67 
 
 7 
 
 338-45519 
 
 4-67589 
 
 3-05 
 
 3-05 
 
 3-253 
 
 3-3260 
 
 3-335 
 
 188-00 
 
 0-47 
 
 2-58 
 
 2-506 
 
 2- 5 
 
 1-67 
 
 8 
 
 79-82996 
 
 5-67589 
 
 4-05 
 
 0-49 
 
 0700 
 
 0-7746 
 
 0784 
 
 189-00 
 
 1-47 
 
 0-08 
 
 0-006 
 
 o-oo 
 
 2-67 
 
 9 
 
 181-20472 
 
 6-67589 
 
 0-53 
 
 1-49 
 
 1-700 
 
 17746 
 
 1784 
 
 190-00 
 
 0-70 
 
 i -08 
 
 I -006 
 
 I'OO 
 
 0-09 
 
 10 
 
 282-57948 
 
 0-62497 
 
 i-53 
 
 2-49 
 
 2-700 
 
 27746 
 
 2784 
 
 191-00 
 
 170 
 
 2-08 
 
 2 - OO6 
 
 2-OO 
 
 1-09 
 
 11 
 
 23-954H 
 
 1-62497 
 
 2-53 
 
 3 '49 
 
 0-147 
 
 0-2231 
 
 0-233 
 
 192-00 
 
 0-93 
 
 3-08 
 
 3-O06 
 
 3'OO 
 
 2-09 
 
 12 
 
 125-32900 
 
 2-62497 
 
 3'53 
 
 0-94 
 
 1-147 
 
 1-2231 
 
 1-233 
 
 193-00 
 
 0-16 
 
 0-58 
 
 0-507 
 
 0-50 
 
 3-09 
 
 13 
 
 226-70376 
 
 3-62497 
 
 O-02 
 
 1-94 
 
 2-147 
 
 2-2231 
 
 2-233 
 
 194-00 
 
 1-16 
 
 1-58 
 
 I-507 
 
 I-50 
 
 0-51 
 
 14 
 
 328-07853 
 
 4-62497 
 
 I -O2 
 
 2-94 
 
 3'H7 
 
 3-2231 
 
 3-233 
 
 195-00 
 
 o-39 
 
 2-58 
 
 2-507 
 
 2-50 
 
 I'fl 
 
 15 
 
 69-45329 
 
 5-62497 
 
 2 -O2 
 
 0-38 
 
 0-594 
 
 0-6717 
 
 0-681 
 
 196-00 
 
 '39 
 
 0-08 
 
 O-OO7 
 
 O'OO 
 
 2-51 
 
 16 
 
 170-82805 
 
 6-62497 
 
 3-02 
 
 1-38 
 
 ''594 
 
 1-6717 
 
 1-681 
 
 197-00 
 
 0-62 
 
 i -08 
 
 1-O07 
 
 i-oo 
 
 3-51 
 
 17 
 
 272-20281 
 
 0-57404 
 
 4-02 
 
 2-38 
 
 2-594 
 
 2-6717 
 
 2-681 
 
 198-00 
 
 1-62 
 
 2-08 
 
 2-O07 
 
 2-OO 
 
 0-92 
 
 18 
 
 i3'57757 
 
 1-57404 
 
 0-51 
 
 3-38 
 
 0-041 
 
 0-1203 
 
 0-130 
 
 199-00 
 
 0-86 
 
 3-08 
 
 3-007 
 
 3"oo 
 
 1-92 
 
 19 
 
 114-95233 
 
 2-57404 
 
 1-51 
 
 0-82 
 
 1-041 
 
 1-1203 
 
 1-130 
 
 200-00 
 
 0-09 
 
 0-58 
 
 0-507 
 
 0-50 
 
 2-92 
 
 2O 
 
 216-32710 
 
 3'5744 
 
 2-51 
 
 i 82 
 
 2-041 
 
 2-1203 
 
 2-130 
 
 2OI'OO 
 
 1-09 
 
 1-58 
 
 1-507 
 
 1-50 
 
 o-34 
 
 21 
 
 317-70186 
 
 4-57404 
 
 3-5i 
 
 2-82 
 
 3'04i 
 
 3-1203 
 
 3-130 
 
 2O2-OO 
 
 0-32 
 
 2-58 
 
 2-507 
 
 2-50 
 
 1-34 
 
 22 
 
 59-07662 
 
 5-57404 
 
 O'OO 
 
 0-27 
 
 0-489 
 
 0-5689 
 
 0-579 
 
 203-00 
 
 1-32 
 
 0-09 
 
 O-OO7 
 
 o-oo 
 
 2-34 
 
 23 
 
 160-45138 
 
 6-57404 
 
 I'OO 
 
 1-27 
 
 1-489 
 
 1-5689 
 
 J'579 
 
 204*00 
 
 0-55 
 
 1-09 
 
 I-OO7 
 
 TOO 
 
 3-34 
 
 24 
 
 261-82614 
 
 0-52311 
 
 2-OO 
 
 2-27 
 
 2-489 
 
 2-5689 
 
 2-579 
 
 205-00 
 
 i-55 
 
 2-09 
 
 2-OO7 
 
 2"OO 
 
 0-76 
 
 25 
 
 3-20090 
 
 1-52311 
 
 3-00 
 
 3-27 
 
 3-489 
 
 0-0175 
 
 0-028 
 
 206-00 
 
 0-78 
 
 3-09 
 
 3-007 
 
 3'00 
 
 176 
 
 26 
 
 104-57567 
 
 2-5*311 
 
 4-00 
 
 0-71 
 
 0-936 
 
 1-0175 
 
 1-028 
 
 207-00 
 
 O'OI 
 
 0-59 
 
 0-507 
 
 0-50 
 
 2-76 
 
 27 
 
 205-95043 
 
 3-52311 
 
 0-49 
 
 1-71 
 
 1-936 
 
 2-0175 
 
 2-028 
 
 208-00 
 
 I -01 
 
 1-59 
 
 I-507 
 
 1-50 
 
 0-17 
 
 28 
 
 307-32519 
 
 4-52311 
 
 1-49 
 
 271 
 
 2-936 
 
 3-OI75 
 
 3-028 
 
 209-00 
 
 0-24 
 
 2-59 
 
 2-507 
 
 2-50 
 
 1-17 
 
 29 
 
 48-69995 
 
 5-52311 
 
 2-49 
 
 0-15 
 
 0-383 
 
 0-4660 
 
 0-476 
 
 2IO-OO 
 
 1-24 
 
 0-09 
 
 O-O07 
 
 o-oo 
 
 2-17 
 
 In Leap Year diminish the date in Columns i, 15, by i day after Feb. 28. 
 88 
 
SATELLITE II 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 X continued Motions of Mean Longitude and the Arguments for Days 
 
 '5 
 
 16 
 
 17 
 
 il 
 
 '9 
 
 20 
 
 21 
 
 M 
 
 *3 
 
 *4 
 
 2 5 
 
 26 
 
 Day 
 
 P 
 
 Q 
 
 R 
 
 8 
 
 T 
 
 u 
 
 V 
 
 W 
 
 X 
 
 Y 
 
 Z 
 
 June 8 
 
 y 
 0-436 
 
 d 
 274804 
 
 d 
 0-9980 
 
 d 
 
 0-978 
 
 d 
 0-97 
 
 d 
 2-79848 
 
 d 
 3-0 
 
 d 
 2-759 
 
 d 
 
 2-7 5 
 
 d 
 ''4 
 
 d 
 
 2-5 
 
 9 
 
 0-438 
 
 o 19685 
 
 0-2227 
 
 0'202 
 
 O'20 
 
 0-24844 
 
 0'4 
 
 0'2O8 
 
 O'2O 
 
 2'4 
 
 3'5 
 
 10 
 
 0-441 
 
 1-19685 
 
 1-2227 
 
 1-202 
 
 1-20 
 
 1-24844 
 
 '"4 
 
 I -208 
 
 1-20 
 
 3'4 
 
 0-9 
 
 11 
 
 0-444 
 
 2-19685 
 
 "4473 
 
 0-427 
 
 0-42 
 
 2*24844 
 
 *'4 
 
 2-208 
 
 2 -2O 
 
 o- 9 
 
 1-9 
 
 12 
 
 0-447 
 
 3-19685 
 
 '"4473 
 
 1-427 
 
 I- 4 2 
 
 3-24844 
 
 3 '4 
 
 3-208 
 
 3-zo 
 
 1-9 
 
 2-9 
 
 13 
 
 0-449 
 
 0-64567 
 
 0-6720 
 
 0-651 
 
 0-65 
 
 0-69841 
 
 0-9 
 
 0-657 
 
 0-65 
 
 2-9 
 
 0-4 
 
 14 
 
 0-452 
 
 1-64567 
 
 1-6720 
 
 1-651 
 
 I-6 5 
 
 1-69841 
 
 1-9 
 
 1-657 
 
 1-65 
 
 0-4 
 
 I- 4 
 
 15 
 
 o-455 
 
 2-64567 
 
 0-8967 
 
 0-876 
 
 0-87 
 
 2-69841 
 
 2-9 
 
 2-657 
 
 2-65 
 
 ''4 
 
 *'4 
 
 16 
 
 0-458 
 
 0-09449 
 
 0-1214 
 
 o-ioo 
 
 o-io 
 
 0-14837 
 
 0-3 
 
 o-i 06 
 
 O'lO 
 
 *'4 
 
 3'4 
 
 17 
 
 0-460 
 
 1-09449 
 
 1-1214 
 
 1-100 
 
 I-IO 
 
 1-14837 
 
 i'3 
 
 1-106 
 
 I-IO 
 
 3'4 
 
 0-8 
 
 18 
 
 0-463 
 
 2-09449 
 
 0-3461 
 
 0-325 
 
 0-32 
 
 2-14837 
 
 2-3 
 
 2-106 
 
 2'1O 
 
 0-9 
 
 1-8 
 
 19 
 
 0-466 
 
 3^9449 
 
 1-3461 
 
 '325 
 
 1-32 
 
 3-i4 8 37 
 
 3'3 
 
 3-106 
 
 3-10 
 
 1-9 
 
 2-8 
 
 20 
 
 0-468 
 
 0-5433I 
 
 0-5708 
 
 0-549 
 
 0-54 
 
 0-59834 
 
 0-8 
 
 0-555 
 
 0-55 
 
 2-9 
 
 0-3 
 
 21 
 
 0-471 
 
 1-5433' 
 
 1-5708 
 
 ''549 
 
 1-54 
 
 1-59834 
 
 1-8 
 
 I- 555 
 
 '55 
 
 0-4 
 
 If 
 
 22 
 
 0-474 
 
 *'5433i 
 
 0-7955 
 
 0-774 
 
 0-77 
 
 2-59834 
 
 2-8 
 
 2 '5S5 
 
 *-55 
 
 *4 
 
 2'3 
 
 23 
 
 o-477 
 
 3-5433I 
 
 0'O2O2 
 
 '774 
 
 1-77 
 
 0-04830 
 
 0-2 
 
 0-004 
 
 o-oo 
 
 2'4 
 
 3'3 
 
 24 
 
 0-479 
 
 0-99213 
 
 I'O2O2 
 
 0-998 
 
 0-99 
 
 1-04830 
 
 1-2 
 
 1-004 
 
 I'OO 
 
 3'4 
 
 0-7 
 
 25 
 
 0-482 
 
 1-99213 
 
 0-2449 
 
 0-223 
 
 0-22 
 
 2-04830 
 
 2'2 
 
 2-004 
 
 2-OO 
 
 0-9 
 
 i"7 
 
 26 
 
 0-485 
 
 2-99213 
 
 1-2449 
 
 1-223 
 
 1-22 
 
 3-04830 
 
 3'2 
 
 3-004 
 
 3-OO 
 
 1-9 
 
 27 
 
 27 
 
 0-488 
 
 0-44095 
 
 0-4696 
 
 0-447 
 
 0- 4 4 
 
 0-49827 
 
 07 
 
 0-453 
 
 0-44 
 
 -9 
 
 O'l 
 
 28 
 
 0-490 
 
 1-44095 
 
 1-4696 
 
 '447 
 
 1-44 
 
 1-49827 
 
 1-7 
 
 J-453 
 
 i-44 
 
 0-4 
 
 i-i 
 
 29 
 
 Q'493 
 
 2-44095 
 
 0-6943 
 
 0-672 
 
 0-67 
 
 2-49827 
 
 2-7 
 
 2-453 
 
 2-44 
 
 I- 4 
 
 2M 
 
 30 
 
 0-496 
 
 3-44095 
 
 I-6943 
 
 1-672 
 
 I-6 7 
 
 3'49 8z 7 
 
 o-i 
 
 3-453 
 
 3'44 
 
 2-4 
 
 y \ 
 
 July 1 
 
 0-499 
 
 0-88977 
 
 0-9190 
 
 0-896 
 
 0-89 
 
 0-94824 
 
 1-1 
 
 0-902 
 
 0-89 
 
 3'4 
 
 0-6 
 
 2 
 
 0-501 
 
 1-88977 
 
 0- 437 
 
 O'I2I 
 
 0-12 
 
 1-94824 
 
 2-1 
 
 1-902 
 
 1-89 
 
 0-9 
 
 1-6 
 
 3 
 
 0-504 
 
 2-88977 
 
 ''437 
 
 I-I2I 
 
 I'12 
 
 2-94824 
 
 3'i 
 
 2-902 
 
 2-89 
 
 1-9 
 
 2-6 
 
 4 
 
 0-507 
 
 0-33859 
 
 0-3684 
 
 0-345 
 
 0-34 
 
 0-39820 
 
 0-6 
 
 o'35> 
 
 0-34 
 
 2-9 
 
 o-o 
 
 5 
 
 0-510 
 
 J-338S9 
 
 1-3684 
 
 ''345 
 
 i'34 
 
 1-39820 
 
 1-6 
 
 i-35i 
 
 i-34 
 
 0-4 
 
 I'O 
 
 6 
 
 0-512 
 
 2-33859 
 
 o-593i 
 
 0-569 
 
 0-56 
 
 2-39820 
 
 2-6 
 
 2'35' 
 
 2-34 
 
 '4 
 
 2"O 
 
 7 
 
 0-515 
 
 3-33859 
 
 '593i 
 
 1-569 
 
 1-56 
 
 3-39820 
 
 o-o 
 
 3-35I 
 
 3'34 
 
 2'4 
 
 3-o 
 
 8 
 
 0-518 
 
 0-78741 
 
 0-8178 
 
 0-794 
 
 0-79 
 
 0-84817 
 
 ro 
 
 0-800 
 
 0-79 
 
 3'4 
 
 0-5 
 
 9 
 
 0-521 
 
 1-78741 
 
 0-0425 
 
 0-018 
 
 O'OI 
 
 1-84817 
 
 i'O 
 
 i -800 
 
 1-79 
 
 0-9 
 
 i'5 
 
 10 
 
 0-523 
 
 278741 
 
 1-0425 
 
 1-018 
 
 I'OI 
 
 2-84817 
 
 3-0 
 
 2-800 
 
 2-79 
 
 1-9 
 
 *'S 
 
 11 
 
 0-526 
 
 0-23623 
 
 0-2672 
 
 0-243 
 
 0-24 
 
 0-29813 
 
 0-5 
 
 0-249 
 
 0-24 
 
 2-9 
 
 3'5 
 
 12 
 
 0-529 
 
 1-23623 
 
 1-2672 
 
 1-243 
 
 1-24 
 
 1-29813 
 
 n 
 
 1-249 
 
 1-24 
 
 0-4 
 
 0-9 
 
 13 
 
 0-532 
 
 2-23623 
 
 0-4919 
 
 0-467 
 
 0-46 
 
 2*29813 
 
 *$ 
 
 2-249 
 
 2-24 
 
 i"4 
 
 1-9 
 
 14 
 
 o-534 
 
 3-23623 
 
 1-4919 
 
 1-467 
 
 1-46 
 
 3-29813 
 
 3-5 
 
 3-249 
 
 3-24 
 
 *'4 
 
 2-9 
 
 15 
 
 o-537 
 
 0-68504 
 
 0-7166 
 
 0-692 
 
 0-69 
 
 0-74810 
 
 o- 9 
 
 0-699 
 
 0-69 
 
 3'4 
 
 0-4 
 
 16 
 
 0-540 
 
 1-68504 
 
 17166 
 
 1-692 
 
 1-69 
 
 1-74810 
 
 i- 9 
 
 1-699 
 
 1-69 
 
 0-9 
 
 i-4 
 
 17 
 
 0-542 
 
 2-68504 
 
 0-9413 
 
 0-916 
 
 0-91 
 
 2-74810 
 
 2-9 
 
 2-699 
 
 2-69 
 
 1-9 
 
 2-4 
 
 18 
 
 o-545 
 
 0-13386 
 
 0-1660 
 
 0-141 
 
 0-14 
 
 0-19806 
 
 0-4 
 
 0-148 
 
 0-14 
 
 2-9 
 
 3'4 
 
 19 
 
 0-548 
 
 1-13386 
 
 i -i 660 
 
 1-141 
 
 1-14 
 
 1-19806 
 
 '"4 
 
 1-148 
 
 1-14 
 
 0-4 
 
 0-8 
 
 20 
 
 0-551 
 
 2-13386 
 
 0-3907 
 
 0-365 
 
 0-36 
 
 2-19806 
 
 2-4 
 
 2-148 
 
 2-14 
 
 ''4 
 
 1-8 
 
 21 
 
 0-553 
 
 3-13386 
 
 1-3907 
 
 '365 
 
 1-36 
 
 3-19806 
 
 3'4 
 
 3-148 
 
 3''4 
 
 2'4 
 
 2-8 
 
 22 
 
 0-556 
 
 0-58268 
 
 0-6154 
 
 0-590 
 
 0-58 
 
 0-64803 
 
 0-8 
 
 0-597 
 
 0-59 
 
 3'4 
 
 o-3 
 
 23 
 
 0-559 
 
 1-58268 
 
 1-6154 
 
 1-590 
 
 1-58 
 
 1-64803 
 
 1-8 
 
 i-597 
 
 1-59 
 
 0-9 
 
 i'3 
 
 24 
 
 0-562 
 
 2-58268 
 
 0-8401 
 
 0-814 
 
 0-81 
 
 2-64803 
 
 2-8 
 
 2-597 
 
 2-59 
 
 1-9 
 
 2-3 
 
 25 
 
 0-564 
 
 0-03150 
 
 0-0648 
 
 0-039 
 
 0-03 
 
 0-09799 
 
 0-3 
 
 0-046 
 
 0-04 
 
 2-9 
 
 3'3 
 
 26 
 
 0-567 
 
 1-03150 
 
 i -0648 
 
 1-039 
 
 1-03 
 
 1-09799 
 
 i'3 
 
 1-046 
 
 1-04 
 
 0-4 
 
 0-7 
 
 27 
 
 0-570 
 
 1-03150 
 
 0-2894 
 
 0-263 
 
 0-26 
 
 2-09799 
 
 z'3 
 
 2-046 
 
 2-04 
 
 i"4 
 
 17 
 
 28 
 
 0-573 
 
 3^03150 
 
 1-2894 
 
 1-263 
 
 1-26 
 
 3-09799 
 
 3'3 
 
 3-046 
 
 3-04 
 
 2-4 
 
 7 
 
 29 
 
 0-575 
 
 0-48032 
 
 0-5141 
 
 0-488 
 
 0-48 
 
 0-54796 
 
 0-8 
 
 0-495 
 
 0-48 
 
 3'4 
 
 o-i 
 
 In Leap Year diminish the date in Columns t, 15, by i day after Feb. 28. 
 89 
 
SATELLITE II 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 X continued Motions of Mean Longitude and the Arguments for Days 
 
 I 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 $ 
 
 9 
 
 to 
 
 ii 
 
 12 
 
 '3 
 
 '4 
 
 Day 
 
 Mean Long. 
 
 A 
 
 B 
 
 c 
 
 D 
 
 E 
 
 F 
 
 G-J 
 
 K 
 
 L 
 
 M 
 
 N 
 
 o 
 
 July 3O 
 
 o 
 
 150-07471 
 
 d 
 6-52311 
 
 d 
 3-49 
 
 d 
 I-I5 
 
 d 
 I-383 
 
 d 
 1*4660 
 
 d 
 1-476 
 
 d 
 2 I I *OO 
 
 d 
 
 0-47 
 
 d 
 1-09 
 
 d 
 1-007 
 
 d 
 I-OO 
 
 d 
 3-17 
 
 31 
 
 *5 I- 44947 
 
 0-47219 
 
 4'49 
 
 2-15 
 
 2-383 
 
 2*4660 
 
 2-476 
 
 2 I 2 'DO 
 
 '47 
 
 2-09 
 
 2-007 
 
 2'OO 
 
 0-59 
 
 Aug. 1 
 
 352-8*424 
 
 I-472I9 
 
 0-98 
 
 3-15 
 
 3-383 
 
 3-4660 
 
 3-476 
 
 213-00 
 
 0-70 
 
 3-09 
 
 3-007 
 
 3-00 
 
 I- 59 
 
 2 
 
 94-19900 
 
 2-47219 
 
 1-98 
 
 O'6o 
 
 0-830 
 
 0-9146 
 
 0-925 
 
 214-00 
 
 1*70 
 
 0-59 
 
 0-507 
 
 0-50 
 
 2-59 
 
 3 
 
 195-57376 
 
 3-472I9 
 
 2-98 
 
 I - 6o 
 
 1-830 
 
 1-9146 
 
 1-925 2I5-OO 
 
 0-93 
 
 1-59 
 
 1-507 
 
 I- 5 
 
 o-oi 
 
 4 
 
 296-94852 
 
 4-472I9 
 
 3-98 
 
 2-6o 
 
 2-830 
 
 2-9146 
 
 2-925 2l6-OO 
 
 0-16 
 
 2-59 
 
 2-507 
 
 2-50 
 
 I -01 
 
 5 
 
 38-32328 
 
 5-47219 
 
 0-47 
 
 0-04 
 
 0-277 
 
 0-3632 
 
 0-374 217-00 
 
 1-16 
 
 0-09 
 
 0-007 
 
 o-oo 
 
 2-OI 
 
 6 
 
 139-69804 
 
 6-47219 
 
 1-47 
 
 I-O4 
 
 1-277 
 
 1-3632 
 
 1-374 2I8-OO 
 
 0-39 
 
 1-09 
 
 I-007 
 
 i-oo 
 
 3-01 
 
 7 
 
 241-07281 
 
 O'42I26 
 
 *"47 
 
 2-04 
 
 2-277 
 
 2-3632 
 
 2-374 2I9-00 
 
 1-39 
 
 2-09 
 
 2-OO7 
 
 2-OO 
 
 0> 43 
 
 8 
 
 342-44757 
 
 1-42126 
 
 3'47 
 
 3-04 
 
 3^77 
 
 3-3632 
 
 3'374 
 
 22CTOO 
 
 0-62 
 
 3-09 
 
 3-007 
 
 3'OO 
 
 I- 43 
 
 9 
 
 83-82233 
 
 2*42126 
 
 4'47 
 
 0-48 
 
 0724 
 
 0-811 8 
 
 0-823 
 
 22I'OO 
 
 1-62 
 
 0-59 
 
 0-508 
 
 0-50 
 
 2-43 
 
 1O 
 
 185-19709 
 
 3-42126 
 
 0-96 
 
 1-48 
 
 1724 
 
 1-8118 
 
 1-823 
 
 222-OO 
 
 0-85 
 
 1-59 
 
 1-508 
 
 1-50 
 
 3H3 
 
 11 
 
 286-57185 
 
 4-42126 
 
 1-96 
 
 2- 4 8 
 
 2724 
 
 2-8118 
 
 2-823 
 
 223-00 
 
 0-08 
 
 2-59 
 
 2-508 
 
 2-50 
 
 0-84 
 
 12 
 
 27-94661 
 
 5-42126 
 
 2-96 
 
 3-48 
 
 O-I72 
 
 0-2603 
 
 0-27I 
 
 224-00 
 
 i -08 
 
 O'lO 
 
 O-OO8 
 
 O'OO 
 
 1-84 
 
 13 
 
 129-32138 
 
 6-42126 
 
 3'9 6 
 
 0-93 
 
 I-I72 
 
 1-2603 
 
 I-27I 
 
 225 oo 
 
 0-31 
 
 I-IO 
 
 I -008 
 
 i-oo 
 
 2-84 
 
 14 
 
 230-69614 
 
 0-37033 
 
 0-45 
 
 i'93 
 
 2-I72 
 
 2-2603 
 
 2-27I 
 
 226-00 
 
 1-31 
 
 2-10 
 
 2'OOS 
 
 2'00 
 
 0-26 
 
 IB 
 
 332-07090 
 
 1-37033 
 
 i-45 
 
 *'93 
 
 3-I72 
 
 3-2603 
 
 3-271 
 
 227-OO 
 
 0-54 
 
 3-10 
 
 3-O08 
 
 3'OO 
 
 1-26 
 
 16 
 
 73-44566 
 
 2-37033 
 
 2-45 
 
 0-37 
 
 0-619 
 
 0-7089 
 
 0-720 
 
 228-OO 
 
 1-54 
 
 o'6o 
 
 0-508 
 
 0-50 
 
 2-26 
 
 17 
 
 174-82042 
 
 3-37033 
 
 3'45 
 
 i'37 
 
 I-6I9 
 
 1-7089 
 
 1720 
 
 229-00 
 
 0-77 
 
 i -60 
 
 1-508 
 
 I-50 
 
 3-26 
 
 18 
 
 276-19518 
 
 4-37 33 
 
 4'45 
 
 2'37 
 
 2-6l9 
 
 2-7089 
 
 2-72O 
 
 23O-OO 
 
 O'OO 
 
 2-60 
 
 2-508 
 
 2-50 
 
 0-68 
 
 19 
 
 17-56995 
 
 5-37033 
 
 0-94 
 
 3-37 
 
 0-066 
 
 0-1575 
 
 0-169 
 
 23I-OO 
 
 I'OO 
 
 0*10 
 
 o - oo8 
 
 o-oo 
 
 1-68 
 
 20 
 
 118-94471 
 
 6-37033 
 
 1-94 
 
 0-81 
 
 i -066 
 
 1-1575 
 
 1-169 
 
 232-00 
 
 0-24 
 
 I-IO 
 
 I -008 
 
 roo 
 
 2-68 
 
 21 
 
 220-31947 
 
 0-31940 
 
 2-94 
 
 1-81 
 
 2-066 
 
 2-1575 
 
 2-169 
 
 233-00 
 
 1-24 
 
 2*IO 
 
 2-008 
 
 2'OO 
 
 0-09 
 
 22 
 
 321-69423 
 
 I-31940 
 
 3'94 
 
 2-81 
 
 3-066 
 
 3-1575 
 
 3-169 
 
 234-00 
 
 0-47 
 
 3-10 
 
 3-008 
 
 3"oo 
 
 1-09 
 
 23 
 
 63-06899 
 
 2-31940 
 
 0-42 
 
 0-26 
 
 '5'3 
 
 0-6061 
 
 0-618 
 
 235-00 
 
 1-47 
 
 o - 6o 
 
 0-508 
 
 0-50 
 
 2-09 
 
 24 
 
 I64-44375 
 
 3-3>94o 
 
 1-42 
 
 1-26 
 
 i'S'3 
 
 i -606 1 
 
 1-618 
 
 236-00 
 
 0-70 
 
 i -60 
 
 1-508 
 
 1-50 
 
 3-09 
 
 25 
 
 265-81852 
 
 4-31940 
 
 2-42 
 
 2-26 
 
 2-513 
 
 2-6061 
 
 2-618 
 
 237-00 
 
 1-70 
 
 2 '60 
 
 2-508 
 
 2-50 
 
 0-51 
 
 26 
 
 7-19328 
 
 5-31940 
 
 3"4 2 
 
 3-26 
 
 3'5'3 
 
 0-0546 
 
 0-067 
 
 238-00 
 
 0-93 
 
 o-io 
 
 0-008 
 
 0*00 
 
 1-51 
 
 27 
 
 108-56804 
 
 6-31940 
 
 4-42 
 
 0-70 
 
 0-960 
 
 1-0546 
 
 1-067 
 
 239-00 
 
 0-16 
 
 no 
 
 I -008 
 
 1*00 
 
 2-51 
 
 28 
 
 209-94280 
 
 0-26848 
 
 0-91 
 
 1-70 
 
 1-960 
 
 2-0546 
 
 2-067 
 
 24O-OO 
 
 1-16 
 
 2*IO 
 
 2 'OO8 
 
 2*00 
 
 3-5i 
 
 29 
 
 3ii'3i756 
 
 1-26848 
 
 1-91 
 
 270 
 
 2-960 
 
 3-0546 
 
 3-067 
 
 241-00 
 
 0-39 
 
 3*10 
 
 3-008 
 
 3-00 
 
 o-93 
 
 SO 
 
 52-69232 
 
 2-26848 
 
 2-91 
 
 0-14 
 
 0-407 
 
 0-5032 
 
 0-515 
 
 242-00 
 
 i'39 
 
 0-60 
 
 0-508 
 
 0-50 
 
 1-93 
 
 31 
 
 154-06709 
 
 3-26848 
 
 3'9' 
 
 1-14 
 
 1-407 
 
 1-5032 
 
 1-515 
 
 243-00 
 
 0-62 
 
 I -60 
 
 1-508 
 
 1-50 
 
 2-93 
 
 Sept. 1 
 
 255-44185 
 
 4-26848 
 
 0-40 
 
 2-14 
 
 2-407 
 
 2-5032 
 
 2-515 
 
 244*00 
 
 1-62 
 
 2-60 
 
 2-508 
 
 2-50 
 
 o-34 
 
 2 
 
 356-81661 
 
 5-26848 
 
 1-40 
 
 3-14 
 
 3'47 
 
 3-5032 
 
 3'5'5 
 
 245-00 
 
 0-85 
 
 o-io 
 
 o'ooS 
 
 o-oo 
 
 *'34 
 
 3 
 
 98-19137 
 
 6-26848 
 
 2-40 
 
 0-59 
 
 0-855 
 
 0-9518 
 
 0-964 
 
 246-00 
 
 0-08 
 
 I'lO 
 
 I -008 
 
 roo 
 
 2'34 
 
 4 
 
 199-56613 
 
 0-21755 
 
 3-40 
 
 1-59 
 
 1-855 
 
 1-9518 
 
 1-964 
 
 247-00 
 
 i -08 
 
 2'1O 
 
 2-008 
 
 2'OO 
 
 3-34 
 
 B 
 
 300-94089 
 
 1-21755 
 
 4-40 
 
 2-59 
 
 2-855 
 
 2-9518 
 
 2-964 
 
 248-00 
 
 0*31 
 
 3-10 
 
 3-008 
 
 3-00 
 
 0-76 
 
 6 
 
 42-31566 
 
 2-21755 
 
 0-89 
 
 0-03 
 
 0-302 
 
 0-4004 
 
 0-413 
 
 249-00 
 
 1-31 
 
 0-61 
 
 0-508 
 
 0-50 
 
 1-76 
 
 7 
 
 143-69042 
 
 3-21755 
 
 1-89 
 
 1-03 
 
 1-302 
 
 1-4004 
 
 i"43 
 
 25O-OO 
 
 0*54 
 
 1-61 
 
 1-508 
 
 1*50 
 
 2-76 
 
 8 
 
 245-06518 
 
 4-2I755 
 
 2-89 
 
 2-03 
 
 2-302 
 
 2*4004 
 
 2-413 
 
 251*00 
 
 i'54 
 
 2-61 
 
 2-508 
 
 2-50 
 
 0-18 
 
 9 
 
 346-43994 
 
 5- 2 i755 
 
 3-89 
 
 3-03 
 
 3-302 
 
 3-4004 
 
 3'4' 3 
 
 252-OO 
 
 0*77 
 
 o-n 
 
 0-009 
 
 O'OO 
 
 1-18 
 
 1O 
 
 87-81470 
 
 6-21755 
 
 0-38 
 
 0-47 
 
 0-749 
 
 0-8489 
 
 o 862 
 
 *53'00 
 
 0*0 1 
 
 I'll 
 
 1-009 
 
 I'OO 
 
 2-18 
 
 11 
 
 189-18946 
 
 0-16662 
 
 1-38 
 
 1-47 
 
 1-749 
 
 1-8489 
 
 1-862 
 
 254-00 
 
 I'OI 
 
 2-II 
 
 2 "OOg 
 
 2*00 
 
 3-i8 
 
 12 
 
 290-56423 
 
 1-16662 
 
 2-38 
 
 2-47 
 
 2-749 
 
 2-8489 
 
 2-862 
 
 255-00 
 
 0-24 
 
 3" 
 
 3-009 
 
 3-00 
 
 0-59 
 
 13 
 
 31-93899 
 
 2-16662 
 
 3-38 
 
 3'47 
 
 o 196 
 
 0-2975 
 
 0-310 
 
 256-00 
 
 1*24 
 
 0-6 1 
 
 0-509 
 
 0-50 
 
 1-59 
 
 14 
 
 I33-3I375 
 
 3-16662 
 
 4-38 
 
 0-92 
 
 1-196 
 
 1-2975 
 
 1-310 
 
 257-00 
 
 0*47 
 
 1-61 
 
 1-509 
 
 1-50 
 
 2-59 
 
 IB 
 
 234-68851 
 
 4-16662 
 
 0-87 
 
 1-92 
 
 2-196 
 
 2-2975 
 
 2-310 
 
 258-00 
 
 1*47 
 
 2-61 
 
 2-509 
 
 2-50 
 
 O'OI 
 
 16 
 
 336-06327 
 
 5-16662 
 
 1-87 
 
 2-92 
 
 3-196 
 
 3'2975 
 
 3-310 
 
 259-00 
 
 0-70 
 
 O'l 1 
 
 0-009 
 
 o-oo 
 
 I'OI 
 
 17 
 
 77'43 8 3 
 
 6-16662 
 
 2-87 
 
 0-36 
 
 0-643 
 
 0-7461 
 
 o-759 
 
 26o*00 
 
 1-70 
 
 I'll 
 
 1-009 
 
 i-oo 
 
 2-OI 
 
 18 
 
 178-81280 
 
 0-11570 
 
 3-87 
 
 1-36 
 
 1-643 
 
 1-7461 
 
 i'759 
 
 26l*OO 
 
 o-93 
 
 2'II 
 
 2*009 
 
 2-OO 
 
 3-01 
 
 19 
 
 280-18756 
 
 1-11570 
 
 0-36 
 
 2-36 
 
 2-643 
 
 2-7461 
 
 2759 
 
 262-OO 
 
 0-16 
 
 3'U 
 
 3*009 
 
 3"oo 
 
 0-43 
 
 In Leap Year diminish the date in Columns i, 15, by i day after Feb. 28. 
 
 90 
 
SATELLITE II 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 X continued Motions of Mean Longitude and the Arguments for Days 
 
 '5 
 
 iC 
 
 7 
 
 il 
 
 '9 
 
 2O 
 
 21 
 
 22 
 
 1 
 
 X4 
 
 *5 
 
 z6 
 
 Day 
 
 P 
 
 Q 
 
 R 
 
 s 
 
 T 
 
 u 
 
 V 
 
 W 
 
 X 
 
 Y 
 
 z 
 
 
 y d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 July 30 
 
 O*578 1-48032 
 
 I-5I4I 
 
 1-488 
 
 1-48 
 
 1-54796 
 
 1-8 
 
 I- 495 
 
 I- 4 8 
 
 0*9 
 
 I-I 
 
 31 
 
 0-581 
 
 2-48032 0-7388 
 
 O-7I2 
 
 071 
 
 2-54796 
 
 2*8 
 
 z '495 
 
 2-48 
 
 i-9 
 
 2*1 
 
 Aug. 1 
 
 0-584 
 
 3-48032 1-7388 
 
 1712 
 
 171 
 
 3'5479 6 
 
 0*2 
 
 3H95 
 
 3^8 
 
 2-9 
 
 3'I 
 
 2 
 
 0-586 
 
 0-92914 0-9635 0-937 0-93 
 
 0-99792 
 
 1*2 
 
 0-944 
 
 0-93 
 
 0*4 
 
 0-6 
 
 3 
 
 0-589 
 
 1-92914 0-1882 
 
 0-161 0-16 
 
 1 
 
 1-99792 
 
 2'2 
 
 1-944 
 
 i'93 
 
 i'4 
 
 1-6 
 
 4 
 
 0-592 
 
 2*92914 
 
 I-I882 
 
 1*161 1*16 
 
 2-99792 
 
 3'2 
 
 2-944 
 
 2-93 
 
 2-4 
 
 2-6 
 
 5 
 
 0-595 
 
 0-37796 
 
 0-4129 
 
 0-385 
 
 0-38 
 
 0-44789 
 
 0-7 
 
 o-393 
 
 0-38 
 
 3'4 
 
 o-o 
 
 6 
 
 0-597 
 
 1-37796 
 
 I-4I2 9 
 
 1-385 
 
 1-38 
 
 I-44789 
 
 17 
 
 i-393 
 
 1-38 
 
 0-9 
 
 i-o 
 
 7 
 
 0-6OO 
 
 2-37796 
 
 0-6376 
 
 0-610 
 
 0'6o 
 
 2-44789 
 
 2-7 
 
 2-393 
 
 2-38 
 
 
 2-0 
 
 8 
 
 0-603 
 
 3'3779 6 
 
 1-6376 
 
 1-610 
 
 I -60 
 
 
 o-i 
 
 3'393 
 
 3-38 
 
 2-9 
 
 3-0 
 
 9 
 
 0-605 
 
 0-82678 
 
 0-8623 
 
 0-834 
 
 0-83 
 
 0*89785 
 
 1*1 
 
 0*842 
 
 0-83 
 
 0-4 
 
 0-5 
 
 10 
 
 0-608 
 
 1-82678 
 
 0-0870 
 
 0-059 
 
 0-O5 
 
 1-89785 
 
 2-1 
 
 1*842 
 
 1-83 
 
 1*4 
 
 1-5 
 
 11 
 
 0-6 1 1 
 
 2-82678 
 
 I-0870 
 
 1-059 
 
 1-05 
 
 2-89785 
 
 3' 
 
 2-842 
 
 2-83 
 
 2-4 
 
 2-5 
 
 12 
 
 0-614 
 
 0-27560 
 
 0-3II7 
 
 0-283 
 
 0-28 
 
 0-34782 
 
 0-6 
 
 0-291 
 
 0-28 
 
 3'4 
 
 3-5 
 
 13 
 
 0-616 
 
 1-27560 
 
 I-3II7 
 
 1-283 
 
 1-28 
 
 1*34782 
 
 1*6 
 
 1-291 
 
 1-28 
 
 0-9 
 
 0-9 
 
 14 
 
 0-619 
 
 2-27560 
 
 0-5364 
 
 0-508 
 
 0*50 
 
 2-34782 
 
 2-6 
 
 2-291 
 
 2-28 
 
 1*9 
 
 1-9 
 
 15 
 
 0-622 
 
 3-27560 
 
 1*5364 
 
 1-508 
 
 I-50 
 
 3*34782 
 
 0*0 
 
 3-291 
 
 3-28 
 
 
 2-9 
 
 16 
 
 0-625 
 
 072442 
 
 0-761 I 
 
 0732 
 
 073 
 
 0-79779 
 
 i-o 
 
 0-740 
 
 0-73 
 
 0-4 
 
 0-4 
 
 17 
 
 0-627 
 
 172442 
 
 I-76lI 
 
 1-732 
 
 173 
 
 179779 
 
 2'0 
 
 1-740 
 
 i-73 
 
 '4 
 
 1-4 
 
 18 
 
 0-630 
 
 2-72442 
 
 0-9858 
 
 0-957 
 
 0*95 
 
 279779 
 
 3-0 
 
 2-740 
 
 273 
 
 2*4 
 
 2-4 
 
 19 
 
 0*633 
 
 0-17323 
 
 0-2105 
 
 0-181 
 
 0-18 
 
 0*24775 
 
 0-5 
 
 0-189 
 
 0-18 
 
 3'4 
 
 3-4 
 
 20 
 
 0-636 
 
 1-17323 
 
 I-2I05 
 
 1-181 
 
 1-18 
 
 1-24775 
 
 
 1-189 
 
 1-18 
 
 0*9 
 
 0-8 
 
 21 
 
 0-638 
 
 2-17323 
 
 0-4352 
 
 0*406 
 
 0-40 
 
 2-24775 
 
 2-5 
 
 2-189 
 
 2*18 
 
 i'9 
 
 I-I 
 
 22 
 
 0-641 
 
 3-I7323 
 
 I-4352 
 
 1-406 
 
 1-40 
 
 3-24775 
 
 3-5 
 
 3-189 
 
 3*i8 
 
 2-9 
 
 2-8 
 
 23 
 
 0-644 
 
 0-62205 
 
 0-6599 
 
 0-630 
 
 0*62 
 
 0-69772 
 
 0-9 
 
 0-638 
 
 0*63 
 
 0-4 
 
 O'2 
 
 24 
 
 0-647 
 
 1-62205 
 
 {6599 
 
 1-630 
 
 1*62 
 
 1-69772 
 
 1-9 
 
 1-638 
 
 1*63 
 
 i'4 
 
 1*2 
 
 25 
 
 0-649 
 
 2-62205 
 
 0-8846 
 
 0-855 
 
 0-85 
 
 2-69772 
 
 2-9 
 
 2-638 
 
 2*63 
 
 2-4 
 
 2*2 
 
 26 
 
 0-652 
 
 0-07087 
 
 0*1093 O'O79 
 
 0-07 
 
 0-14768 
 
 0-4 
 
 0-087 
 
 0-07 
 
 3'4 
 
 3-2 
 
 27 
 
 0-655 
 
 1-07087 
 
 1*1093 
 
 1-079 
 
 1-07 
 
 1-14768 
 
 1-4 
 
 1-087 
 
 1*07 
 
 0-9 
 
 0-7 
 
 28 
 
 0-658 
 
 2-07087 
 
 0-3340 
 
 0-304 
 
 0-30 
 
 2-14768 
 
 2-4 
 
 2-087 
 
 2*07 
 
 1-9 
 
 17 
 
 29 
 
 0-660 
 
 3-07087 
 
 1-3340 
 
 '304 
 
 1-30 
 
 3-14768 
 
 3'4 
 
 3-087 
 
 3-07 
 
 2-9 
 
 2-7 
 
 3O 
 
 0-663 
 
 0-51969 
 
 0-5587 
 
 0*528 
 
 0-52 
 
 0-59765 
 
 0-8 
 
 0-536 
 
 0*52 
 
 0-4 
 
 O'l 
 
 31 
 
 0-666 
 
 1-51969 
 
 I-5587 
 
 1*528 
 
 1-52 
 
 1-59765 
 
 1-8 
 
 1*536 
 
 1-52 
 
 !"4 
 
 I-I 
 
 Sept. 1 
 
 0-668 
 
 2-51969 
 
 07834 
 
 0-753 
 
 075 
 
 2-59765 
 
 2-8 
 
 2-536 
 
 2-52 
 
 *'4 
 
 2-1 
 
 2 
 
 0-671 
 
 3-51969 
 
 O-OO8 I 
 
 1753 
 
 1-75 
 
 0-04761 
 
 0-3 
 
 3-536 
 
 3-52 
 
 3'4 
 
 3'I 
 
 3 
 
 0-674 
 
 0-96851 
 
 I 'COS I 
 
 0-977 
 
 0-97 
 
 1-04761 
 
 1-3 
 
 0-985 
 
 0-97 
 
 0-9 
 
 0-6 
 
 4 
 
 0-677 
 
 1*96851 
 
 O-2328 
 
 O'2OI 
 
 O-2O 
 
 2-04761 
 
 a-3 
 
 1-985 
 
 1-97 
 
 1-9 
 
 1-6 
 
 5 
 
 0-679 
 
 2*96851 
 
 I-2328 
 
 I-2OI 
 
 1-20 
 
 3-04761 
 
 3'3 
 
 2*985 
 
 2-97 
 
 2-9 
 
 2'6 
 
 6 
 
 0-682 
 
 0-4I733 
 
 0-4575 
 
 0-426 
 
 0*42 
 
 0-49758 
 
 0-7 
 
 0-435 
 
 0-42 
 
 0-4 
 
 O'O 
 
 7 
 
 0-685 
 
 1*41733 
 
 1-4575 
 
 1-426 
 
 I-42 
 
 1-49758 
 
 1-7 
 
 i-435 
 
 1-42 
 
 i'4 
 
 I'O 
 
 8 
 
 0-688 
 
 2*41733 
 
 O-6822 
 
 0-650 
 
 0-64 
 
 2-49758 
 
 27 
 
 2-435 
 
 2-42 
 
 2'4 
 
 2'O 
 
 9 
 
 0-690 
 
 3'4733 
 
 1-6822 
 
 1-650 
 
 1-64 
 
 3-49758 
 
 0*2 
 
 3-435 
 
 3-42 
 
 3'4 
 
 3-0 
 
 10 
 
 0-693 
 
 0-86615 
 
 0-9069 
 
 0-875 
 
 0-87 
 
 0-94754 
 
 1-2 
 
 0-884 
 
 0-87 
 
 0-9 
 
 0-5 
 
 11 
 
 0-696 
 
 1-86615 
 
 0-I3I5 
 
 0-099 
 
 O'Og 
 
 1-94754 
 
 2'2 
 
 1-884 
 
 1-87 
 
 1-9 
 
 i-5 
 
 12 
 
 0-699 
 
 2-86615 
 
 I-13I5 
 
 1-099 
 
 1-O9 
 
 *'94754 
 
 3'2 
 
 2-884 
 
 2*87 
 
 2-9 
 
 *'5 
 
 13 
 
 0701 
 
 0-31497 
 
 0-3562 
 
 0-324 
 
 0*32 
 
 o*3975i 
 
 07 
 
 0-333 
 
 0*32 
 
 0-4 
 
 3-5 
 
 14 
 
 0704 
 
 I-31497 
 
 I-3562 
 
 I-324 
 
 1*32 
 
 1*39751 
 
 17 
 
 1-333 
 
 1*32 
 
 i'4 
 
 0-9 
 
 15 
 
 0-707 
 
 2*31497 
 
 0-5809 
 
 0-548 
 
 0-54 
 
 2*39751 
 
 27 
 
 2-333 
 
 2*32 
 
 2 "4 
 
 1*9 
 
 16 
 
 0710 
 
 3-31497 
 
 1-5809 
 
 I-548 
 
 I- 54 
 
 3-3975I 
 
 O'l 
 
 3-333 
 
 3-32 
 
 3-4 
 
 2*9 
 
 17 
 
 0-712 
 
 076379 
 
 0-8056 
 
 0773 
 
 077 
 
 0*84747 
 
 I-I 
 
 0782 
 
 0-77 
 
 0-9 
 
 o-3 
 
 18 
 
 0-715 
 
 1-76379 
 
 0-0303 
 
 1773 
 
 177 
 
 I-84747 
 
 2-1 
 
 1-782 
 
 177 
 
 1-9 
 
 ''3 
 
 19 
 
 0-718 
 
 276379 
 
 I-0303 
 
 0-997 
 
 0-99 2-84747 
 
 3-i 
 
 2782 
 
 2*77 
 
 2-9 
 
 2-3 
 
 In Leap Year diminish the date in Columns i, 15, by i day after Feb. 28. 
 9' 
 
SATELLITE II 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 X continued Motions of Mean Longitude and the Arguments for Days 
 
 I 
 
 i 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 10 
 
 ii 
 
 12 
 
 3 
 
 14 
 
 Day 
 
 Mean Long. 
 
 A 
 
 B 
 
 c 
 
 D 
 
 E 
 
 F 
 
 G-J 
 
 K 
 
 L 
 
 M 
 
 N 
 
 o 
 
 Sept. 20 
 
 o 
 
 21-56232 
 
 d 
 2-II570 
 
 d 
 1-36 
 
 d 
 3-36 
 
 d 
 0-091 
 
 d 
 0-1947 
 
 d 
 O'2O8 
 
 d 
 263-00 
 
 d 
 
 1-16 
 
 d 
 
 0-61 
 
 d 
 0-509 
 
 d 
 
 0-50 
 
 d 
 
 '"43 
 
 21 
 
 122-93708 
 
 3-II570 
 
 2-36 
 
 0-80 
 
 1-091 
 
 1-1947 
 
 1*208 
 
 264-00 
 
 o-39 
 
 1-61 
 
 1-509 
 
 1*50 
 
 2-43 
 
 22 
 
 224-31 184 
 
 4-I1570 
 
 3-36 
 
 I -80 
 
 2 "Og I 
 
 2-1947 
 
 2-208 
 
 265-00 
 
 1-39 
 
 2*61 
 
 2-509 
 
 2-50 
 
 3 '43 
 
 23 
 
 325-68660 
 
 5-II570 
 
 4-36 
 
 2-80 
 
 3-091 
 
 3-I947 
 
 3'208 
 
 266-OO 
 
 0-62 
 
 o-i i 
 
 - OO9 
 
 o-oo 
 
 0-84 
 
 24 
 
 67-06137 
 
 6-II570 
 
 0-85 
 
 0-25 
 
 0-538 
 
 0-6433 
 
 0-657 
 
 267-00 
 
 1-62 
 
 1*11 
 
 I-OOg 
 
 l-OO 
 
 1-84 
 
 25 
 
 168-43613 
 
 0-06477 
 
 I-8 5 
 
 1-25 
 
 I-538 
 
 1-6433 
 
 1-657 
 
 268-OO 
 
 0-85 
 
 2'II 
 
 2-OO9 
 
 2"OO 
 
 2-84 
 
 26 
 
 269-81089 
 
 I -06477 
 
 2-85 
 
 2-25 
 
 2-5 3 8 
 
 2-6433 
 
 2-657 
 
 269-00 
 
 0-08 
 
 3-1 1 
 
 3-009 
 
 3*00 
 
 0-26 
 
 27 
 
 in8565 
 
 2-06477 
 
 3-85 
 
 3-25 
 
 3-538 
 
 0-0918 
 
 O-I05 
 
 270-OO 
 
 1-08 
 
 0-61 
 
 0-509 
 
 0-50 
 
 1*26 
 
 28 
 
 112-56041 
 
 3-06477 
 
 '34 
 
 0-69 
 
 0-985 
 
 I-ogiS 
 
 I-IO5 
 
 27I-OO 
 
 0-31 
 
 1-61 
 
 1*509 
 
 1-50 
 
 2-26 
 
 29 
 
 213-93517 
 
 4-06477 
 
 ''34 
 
 1-69 
 
 1-985 
 
 2-0918 
 
 2-105 
 
 272-OO 
 
 '3i 
 
 2-61 
 
 2-509 
 
 2-50 
 
 3-26 
 
 30 
 
 315-30994 
 
 5-06477 
 
 *'34 
 
 2-69 
 
 2- 9 85 
 
 3-0918 
 
 3-I05 
 
 273-00 
 
 0-54 
 
 O'I2 
 
 0-009 
 
 o-oo 
 
 0-68 
 
 Oct. 1 
 
 56-68470 
 
 6-06477 
 
 3'34 
 
 0-13 
 
 0-432 
 
 0-5404 
 
 o-554 
 
 274-00 
 
 '"54 
 
 1*12 
 
 I'OOg 
 
 i-oo 
 
 1-68 
 
 2 
 
 158-05946 
 
 0-01384 
 
 4'34 
 
 1-13 
 
 '432 
 
 1-5404 
 
 '"554 
 
 275-00 
 
 0-77 
 
 2-12 
 
 2-009 
 
 2'OO 
 
 2-68 
 
 3 
 
 259-43422 
 
 1*01384 
 
 0-82 
 
 2'13 
 
 2-432 
 
 2-5404 
 
 2-554 
 
 276-00 
 
 o'oi 
 
 3''2 
 
 3-009 
 
 3-00 
 
 0-09 
 
 4 
 
 0-80898 
 
 2-01384 
 
 1-82 
 
 3-I3 
 
 3'432 
 
 3-5404 
 
 0-003 
 
 277-OO 
 
 1-01 
 
 O-62 
 
 0-509 
 
 0*50 
 
 1-09 
 
 5 
 
 102-18374 
 
 3-01384 
 
 2-82 
 
 0-58 
 
 0-879 
 
 0-9890 
 
 1-003 
 
 278-00 
 
 0-24 
 
 1-62 
 
 1-509 
 
 1*50 
 
 2-09 
 
 6 
 
 203-55851 
 
 4-01384 
 
 3-82 
 
 1-58 
 
 1-879 
 
 1-9890 
 
 2-003 
 
 279-00 
 
 1*24 
 
 2-62 
 
 2-509 
 
 2-50 
 
 3-09 
 
 7 
 
 304-93327 
 
 5-01384 
 
 0-31 
 
 2-58 
 
 2-879 
 
 2*9890 
 
 3-003 
 
 28O-OO 
 
 0-47 
 
 O'I2 
 
 o'oio 
 
 O'OO 
 
 0-51 
 
 8 
 
 46-30803 
 
 6-01384 
 
 !}! 
 
 O'O2 
 
 0-326 
 
 0-4376 
 
 0-452 
 
 28l-OO 
 
 1*47 
 
 I-I2 
 
 1-010 
 
 I-OO 
 
 1-51 
 
 9 
 
 147-68279 
 
 7-01384 
 
 2-31 
 
 I-O2 
 
 1-326 
 
 '-4376 
 
 1-452 
 
 282-OO 
 
 0-70 
 
 2*12 
 
 2-OIO 
 
 2'OO 
 
 2-51 
 
 1O 
 
 249-05755 
 
 0-96291 
 
 3-3I 
 
 2 -O2 
 
 2-326 
 
 2-4376 
 
 2-452 
 
 283-00 
 
 1-70 
 
 3-12 
 
 3'OIO 
 
 3-00 
 
 3'5' 
 
 11 
 
 350"4323i 
 
 1-96291 
 
 4-3I 
 
 3-02 
 
 3'326 
 
 3H376 
 
 3-452 
 
 284-00 
 
 o'93 
 
 O-62 
 
 0-510 
 
 0-50 
 
 0-93 
 
 12 
 
 91-80708 
 
 2-96291 
 
 0-80 
 
 0-46 
 
 0774 
 
 0-8861 
 
 0-900 
 
 285-00 
 
 0-16 
 
 1-62 
 
 I-5IO 
 
 1-50 
 
 1-93 
 
 13 
 
 193-18184 
 
 3-96291 
 
 i -80 
 
 1-46 
 
 1774 
 
 t-886i 
 
 1-900 
 
 286-OO 
 
 1-16 
 
 2-62 
 
 2-510 
 
 2-50 
 
 2-93 
 
 14 
 
 294-55660 
 
 4*96291 
 
 2-80 
 
 2-46 
 
 2774 
 
 2-8861 
 
 2-900 
 
 287-00 
 
 0*39 
 
 O-I 2 
 
 O'OIO 
 
 o-oo 
 
 0*34 
 
 15 
 
 35-93I36 
 
 5-96291 
 
 3-80 
 
 SH 6 
 
 O-22I 
 
 -3347 
 
 o-349 
 
 288-00 
 
 '39 
 
 1-12 
 
 I'OIO 
 
 roo 
 
 '"34 
 
 16 
 
 137-30612 
 
 6-96291 
 
 0-29 
 
 0-91 
 
 I-22I 
 
 1-3347 
 
 ''349 
 
 289*00 
 
 0-62 
 
 2-12 
 
 2-010 
 
 2"OO 
 
 2-34 
 
 17 
 
 238-68088 
 
 0-91 199 
 
 1-29 
 
 1-91 
 
 2 - 22I 
 
 2-3347 
 
 2-349 
 
 290-00 
 
 1-62 
 
 3-12 
 
 3'DIO 
 
 3-00 
 
 3-34 
 
 18 
 
 340-05565 
 
 1-9II99 
 
 2-29 
 
 2-91 
 
 3'22I 
 
 3-3347 
 
 3-349 
 
 291-00 
 
 0*85 
 
 0-62 
 
 O-5IO 
 
 0-50 
 
 0-76 
 
 19 
 
 81-43041 
 
 2-91199 
 
 3-29 
 
 o-35 
 
 0-668 
 
 07833 
 
 0-798 
 
 292-00 
 
 0*08 
 
 1*62 
 
 1-5IO 
 
 1-50 
 
 1-76 
 
 2O 
 
 182-80517 
 
 3-91199 
 
 4-29 
 
 '35 
 
 1-668 
 
 I-7833 
 
 1-798 
 
 293-00 
 
 i -08 
 
 2*62 
 
 2-5IO 
 
 2-50 
 
 2-76 
 
 21 
 
 284-17993 
 
 4-91199 
 
 078 
 
 2'35 
 
 2-668 
 
 27833 
 
 2798 
 
 294-00 
 
 0*31 
 
 O*I2 
 
 o-o I o 
 
 o-oo 
 
 0-18 
 
 22 
 
 25-55469 
 
 5-9I199 
 
 1-78 
 
 3'35 
 
 0-115 
 
 0-2319 
 
 0-247 
 
 295-00 
 
 1*31 
 
 1*12 
 
 I -010 
 
 i-oo 
 
 I'll 
 
 23 
 
 126-92945 
 
 6-91 199 
 
 278 
 
 0-79 
 
 1-115 
 
 1-2319 
 
 1-247 
 
 296-00 
 
 0-54 
 
 2*12 
 
 2'OIO 
 
 2*00 
 
 2-18 
 
 24 
 
 228-30422 
 
 O-86lo6 
 
 378 
 
 1 79 
 
 2-115 
 
 2-2319 
 
 2-247 
 
 297-00 
 
 I- 54 
 
 3*12 
 
 3*010 
 
 3-00 
 
 3-i8 
 
 25 
 
 329-67898 
 
 r86lo6 
 
 0-27 
 
 2-79 
 
 3-II5 
 
 3-2319 
 
 3-247 
 
 298-00 
 
 0*78 
 
 0*63 
 
 0*510 
 
 0-50 
 
 0-59 
 
 26 
 
 7''Q5374 
 
 2-86I06 
 
 1-27 
 
 0-24 
 
 0-562 
 
 0-6804 
 
 0-695 
 
 299-00 
 
 0*01 
 
 I-6 3 
 
 1-510 
 
 1-50 
 
 1-59 
 
 27 
 
 172-42850 
 
 3-86106 
 
 2-27 
 
 1-24 
 
 1-562 
 
 1-6804 
 
 1-695 
 
 3OO-OO 
 
 I'OI 
 
 2-6 3 
 
 2-510 
 
 2-50 
 
 2*59 
 
 28 
 
 273-80326 
 
 4-86106 
 
 3-27 
 
 2-24 
 
 2-562 
 
 2-6804 
 
 2-695 
 
 3OI*OO 
 
 0-24 
 
 0-13 
 
 O'OIO 
 
 O'OO 
 
 O'OI 
 
 29 
 
 15-17802 
 
 5-86I06 
 
 4-27 
 
 3-24 
 
 0-009 
 
 0-1290 
 
 0-144 
 
 302-OO 
 
 1*24 
 
 I-I3 
 
 I'OIO 
 
 I'OO 
 
 I'OI 
 
 30 
 
 116-55279 
 
 6 86106 
 
 0-76 
 
 0-68 
 
 1-009 
 
 1-1290 
 
 1-144 
 
 303-00 
 
 0-47 
 
 2-13 
 
 2'OIO 
 
 2*00 
 
 2-OI 
 
 31 
 
 217-92755 
 
 0-81013 
 
 176 
 
 1-68 
 
 2-009 
 
 2*1290 
 
 2-144 
 
 304*00 
 
 i"47 
 
 3-13 
 
 3-010 
 
 3-00 
 
 3*01 
 
 Nov. 1 
 
 319-30231 
 
 1-81013 
 
 2-76 
 
 2-68 
 
 3-009 
 
 3-1290 
 
 3-I44 
 
 305*00 
 
 0-70 
 
 0-63 
 
 0-510 
 
 0-50 
 
 0-43 
 
 2 | 60-67707 
 
 2-81013 
 
 376 
 
 0-12 
 
 0-457 
 
 0-5776 
 
 o-593 
 
 3O6-OO 
 
 1*70 
 
 1-63 
 
 1-510 
 
 1-50 
 
 1-43 
 
 3 
 
 162-05183 
 
 3-81013 
 
 0-25 
 
 I'I2 
 
 1-457 
 
 1-5776 
 
 ''593 
 
 307-00 
 
 o-93 
 
 2*63 
 
 2-510 
 
 2-50 
 
 2'43 
 
 4 
 
 263-42659 
 
 4-81013 
 
 1-25 
 
 2*12 
 
 2-457 
 
 2-5776 
 
 *'593 
 
 3O8-OO 
 
 0*16 
 
 0*13 
 
 O'OII 
 
 0*00 
 
 3-43 
 
 5 
 
 4-80136 
 
 5-81013 
 
 2-25 
 
 3-12 
 
 3-457 
 
 0*0262 0-042 
 
 309-00 
 
 1*16 
 
 ''3 
 
 1*011 
 
 I'OO 
 
 0-85 
 
 6 
 
 106-17612 
 
 6-81013 
 
 3'25 
 
 0-57 
 
 0-904 
 
 1-0262 
 
 1-042 
 
 3IO-OO 
 
 o'39 
 
 2*13 
 
 2*OII 
 
 2'OO 
 
 1-85 
 
 7 
 
 207-55088 
 
 0-75921 
 
 4-25 
 
 "'57 
 
 1-904 
 
 2*0262 
 
 2*042 
 
 31 1 -oo 
 
 i'39 
 
 3-13 
 
 3 'oi i 
 
 3-00 
 
 2-85 
 
 8 
 
 308-92564 
 
 1-75921 
 
 0-74 
 
 2-57 
 
 2-904 
 
 3-0262 
 
 3-042 
 
 312-OO 
 
 0-62 
 
 0*63 
 
 0-51 1 
 
 0-50 
 
 0-26 
 
 9 
 
 50-30040 
 
 2-75921 
 
 174 
 
 O'Ol 
 
 o'35' 
 
 0-4748 
 
 0-490 
 
 3I3-00 
 
 1*62 
 
 1-63 
 
 1*511 
 
 1*50 
 
 1-26 
 
 10 
 
 151-67517 
 
 3-75921 
 
 2-74 
 
 I -01 
 
 i-35i 
 
 I-4748 1-49 
 
 3I4-00 
 
 0*85 
 
 2-63 
 
 2-511 
 
 2-50 
 
 2-26 
 
 In Leap Year diminish the date in Columns i, 15, by i day after Feb. 28. 
 9* 
 
SATELLITE II 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 X continued Motions of Mean Longitude and the Arguments for Days 
 
 5 
 
 16 
 
 17 
 
 il 
 
 '9 
 
 20 
 
 21 
 
 22 
 
 *3 
 
 *4 
 
 *5 
 
 26 
 
 Day 
 
 P 
 
 Q 
 
 R 
 
 s 
 
 T 
 
 u 
 
 V 
 
 W 
 
 X 
 
 Y 
 
 Z 
 
 Sept. 20 
 
 y 
 0721 
 
 i 
 0-21261 
 
 d 
 0-2550 
 
 d 
 0*222 
 
 d 
 0-21 
 
 d 
 0-29744 
 
 d 
 
 0-6 
 
 d 
 0-231 
 
 d 
 O-22 
 
 d 
 
 0-4 
 
 d 
 3'3 
 
 21 
 
 0723 
 
 1-21261 
 
 I-2550 
 
 1-222 
 
 I-2I 
 
 1-29744 
 
 1-6 
 
 1*231 
 
 1-22 
 
 '4 
 
 0-8 
 
 22 
 
 0726 
 
 2-21261 
 
 0-4797 
 
 0-446 
 
 0*44 
 
 2*29744 
 
 2-6 
 
 2-231 
 
 2-22 
 
 2*4 
 
 1-8 
 
 23 
 
 0729 
 
 3-21261 
 
 i '4797 
 
 1-446 
 
 1*44 
 
 3-29744 
 
 0*0 
 
 3'23 
 
 3-22 
 
 3'4 
 
 2-8 
 
 24 
 
 0732 
 
 0-66142 
 
 0*7044 
 
 0*671 
 
 0-66 
 
 074740 
 
 I'O 
 
 0-680 
 
 0*67 
 
 0-9 
 
 0*2 
 
 25 
 
 734 
 
 1-66142 
 
 17044 
 
 1*671 
 
 1-66 
 
 1*74740 
 
 2*0 
 
 I *68o 
 
 I*6 7 
 
 1-9 
 
 1*2 
 
 26 
 
 737 
 
 2-66142 
 
 0*9291 
 
 0*895 
 
 0*89 
 
 274740 
 
 3'0 
 
 2*680 
 
 2-67 
 
 2*9 
 
 2-2 
 
 27 
 
 0740 
 
 o'l 1024 
 
 0-1538 
 
 0*I2O 
 
 0*11 
 
 0-19737 
 
 0-5 
 
 0*129 
 
 o-n 
 
 0*4 
 
 3'2 
 
 28 
 
 0742 
 
 ri 1024 
 
 1-1538 
 
 I*I2O 
 
 i-ii 
 
 I-I9737 
 
 '5 
 
 I*I29 
 
 I-II 
 
 i'4 
 
 0*7 
 
 29 
 
 0745 
 
 2-1 1024 
 
 0-3785 
 
 0-344 
 
 0-34 
 
 2*19737 
 
 2'5 
 
 2*129 
 
 2-II 
 
 2'4 
 
 17 
 
 30 
 
 0748 
 
 3-11024 
 
 I-3785 
 
 1-344 
 
 i'34 
 
 3-I9737 
 
 n 
 
 3*129 
 
 3-11 
 
 3'4 
 
 27 
 
 Oct. 1 
 
 0751 
 
 0-55906 
 
 0-6032 
 
 0-569 
 
 0*56 
 
 0-64734 
 
 o- 9 
 
 0*578 
 
 0-56 
 
 0*9 
 
 O'l 
 
 2 
 
 0753 
 
 1-55906 
 
 1-6032 
 
 1*569 
 
 1*56 
 
 1*64734 
 
 1-9 
 
 1*578 
 
 1*56 
 
 1*9 
 
 1*1 
 
 3 
 
 0756 
 
 2-55906 
 
 0-8279 
 
 0-793 
 
 079 
 
 2-64734 
 
 2-9 
 
 2-578 
 
 2*56 
 
 2*9 
 
 2*1 
 
 4 
 
 0759 
 
 0-00788 
 
 0-0526 
 
 0-017 
 
 0*01 
 
 0-09730 
 
 0-4 
 
 O-O27 
 
 0*0 1 
 
 0*4 
 
 3'I 
 
 5 
 
 0762 
 
 1-00788 
 
 1-0526 
 
 1*017 
 
 I-OI 
 
 1*09730 
 
 4 
 
 I-O27 
 
 1-01 
 
 '"4 
 
 0-6 
 
 6 
 
 0764 
 
 2-00788 
 
 0-2773 
 
 0*242 
 
 0-23 
 
 2-09730 
 
 2-4 
 
 2-O27 
 
 2-OI 
 
 2-4 
 
 1-6 
 
 7 
 
 0-767 
 
 3-00788 
 
 1-2773 
 
 1*242 
 
 1*23 
 
 3-09730 
 
 3-4 
 
 3*027 
 
 3-01 
 
 3'4 
 
 2-6 
 
 8 
 
 0770 
 
 0-45670 
 
 0-5020 
 
 0-466 
 
 0-46 
 
 0*54727 
 
 0-8 
 
 0-476 
 
 0-46 
 
 0-9 
 
 o-o 
 
 9 
 
 773 
 
 1-45670 
 
 1-5020 
 
 1-466 
 
 1-46 
 
 I*54727 
 
 1*8 
 
 1*476 
 
 1-46 
 
 1-9 
 
 1*0 
 
 1O 
 
 775 
 
 2-45670 
 
 0*7267 
 
 0-691 
 
 0*68 
 
 2*54727 
 
 2*8 
 
 2*476 
 
 2*46 
 
 2*9 
 
 2-O 
 
 11 
 
 0778 
 
 3-45670 
 
 17267 
 
 1-691 
 
 1*68 
 
 3-547*7 
 
 o-3 
 
 3-47-5 
 
 3-46 
 
 0-4 
 
 3'0 
 
 12 
 
 0781 
 
 0-90552 
 
 0-9514 
 
 0*915 
 
 0*91 
 
 0-99723 
 
 1-3 
 
 0- 9 25 
 
 0-91 
 
 i'4 
 
 0*4 
 
 13 
 
 0784 
 
 1-90552 
 
 0-1761 
 
 0-140 
 
 0*13 
 
 1-99723 
 
 *'3 
 
 1-925 
 
 1-91 
 
 *'4 
 
 '4 
 
 14 
 
 0786 
 
 2-90552 
 
 1-1761 
 
 1*140 
 
 ft) 
 
 2-99723 
 
 3'3 
 
 2*925 
 
 2-91 
 
 3'4 
 
 2-4 
 
 15 
 
 0789 
 
 Q'35434 
 
 0-4008 
 
 0*364 
 
 0-36 
 
 0-44720 
 
 0*7 
 
 0-374 
 
 0-36 
 
 0*9 
 
 3'4 
 
 16 
 
 0792 
 
 1-35434 
 
 1-4008 
 
 1-364 
 
 1*36 
 
 1-44720 
 
 17 
 
 1-374 
 
 136 
 
 '"9 
 
 0-9 
 
 17 
 
 0795 
 
 2-35434 
 
 0-6255 
 
 0*589 
 
 0*58 
 
 2-44720 
 
 27 
 
 2*374 
 
 2*36 
 
 2*9 
 
 1*9 
 
 18 
 
 0-797 
 
 3-35434 
 
 1*6255 
 
 1-589 
 
 1-58 
 
 3-44720 
 
 O'2 
 
 3-374 
 
 3-36 
 
 0-4 
 
 2*9 
 
 19 
 
 0*800 
 
 0-80316 
 
 0-8502 
 
 0-813 
 
 0*81 
 
 0*89716 
 
 I '2 
 
 0-823 
 
 0*81 
 
 1*4 0-3 
 
 
 
 
 
 
 
 
 
 1 
 
 
 
 20 
 
 0-803 
 
 1-80316 
 
 0*0749 
 
 0-038 
 
 0*03 
 
 1-89716 
 
 2*2 
 
 1-823 
 
 1*81 
 
 2'4 
 
 i'3 
 
 21 
 
 0*805 
 
 2-80316 
 
 1*0749 
 
 1*038 
 
 1*03 
 
 2-89716 
 
 3'* 
 
 2*823 
 
 2*81 
 
 3'4 
 
 2'3 
 
 22 
 
 0-808 
 
 0*25198 
 
 0*2996 
 
 0-262 
 
 0-25 
 
 0*34713 
 
 0-6 
 
 0*272 
 
 0*26 0*9 
 
 3'3 
 
 23 
 
 0-8 1 1 
 
 1-25198 
 
 1*2996 
 
 1-262 
 
 1*25 
 
 I-347I3 
 
 1*6 
 
 1*272 
 
 1-26 
 
 1-9 
 
 0*8 
 
 24 
 
 0-814 
 
 2-25198 
 
 0-5243 
 
 0-487 
 
 0*48 
 
 2-347I3 
 
 2*6 
 
 2*272 
 
 2*26 
 
 2*9 
 
 1*8 
 
 25 
 
 0-816 
 
 3-25198 
 
 1*5243 
 
 1-487 
 
 1*48 
 
 3*34713 
 
 0*1 
 
 3*272 
 
 3*26 
 
 0-4 
 
 2-8 
 
 26 
 
 0-819 
 
 0-70080 
 
 0*7489 
 
 0-711 
 
 0*70 
 
 079709 
 
 1*1 
 
 0721 
 
 071 
 
 '4 
 
 0*2 
 
 27 
 
 0-822 
 
 1-70080 
 
 17489 
 
 1-711 
 
 1-70 
 
 179709 
 
 2*1 
 
 1-721 
 
 171 
 
 2-4 
 
 1*2 
 
 28 
 
 0-825 
 
 2-70080 
 
 0-9736 
 
 0*936 
 
 0-93 
 
 2-79709 
 
 3'I 
 
 2*721 
 
 2-71 
 
 3-4 
 
 2-2 
 
 29 
 
 0-827 
 
 0-14961 
 
 0-1983 
 
 0-160 
 
 0*15 
 
 0*24706 
 
 0-5 
 
 0*170 
 
 0*15 
 
 0*9 
 
 3'2 
 
 SO 
 
 0-830 
 
 1-14961 
 
 1-1983 
 
 1*160 
 
 1*15 
 
 1-24706 
 
 i'5 
 
 1*170 
 
 1*15 
 
 1-9 
 
 0*7 
 
 31 
 
 0-833 
 
 2*14961 
 
 0-4230 
 
 0-385 
 
 0*38 
 
 2-24706 
 
 2'5 
 
 2-170 
 
 2-15 
 
 2*9 
 
 17 
 
 NOV. 1 
 
 0-836 
 
 3*14961 
 
 1*4230 
 
 '385 
 
 1-38 
 
 3*24706 
 
 0*0 
 
 3*170 
 
 3'5 
 
 0-4 
 
 27 
 
 2 
 
 0-838 
 
 0-59843 
 
 0-6477 
 
 0*609 
 
 0-60 
 
 0-69702 
 
 ro 
 
 0*620 
 
 0*60 
 
 1-4 
 
 o-i 
 
 3 
 
 0-841 
 
 i-59 8 43 
 
 1-6477 
 
 1-609 
 
 1*60 
 
 1-69702 
 
 2*0 
 
 1*620 
 
 1-60 
 
 2-4 
 
 1-1 
 
 4 
 
 0-844 
 
 z -59843 
 
 0-8724 
 
 0-833 
 
 0*83 
 
 2*69702 
 
 3*0 
 
 2*620 
 
 2*60 
 
 3-4 
 
 2'I 
 
 5 
 
 0-847 
 
 0-04725 
 
 0-0971 
 
 0-058 
 
 0-05 
 
 0*14699 
 
 o-5 
 
 0-069 
 
 0*05 
 
 0*9 
 
 3*1 
 
 6 
 
 0-849 
 
 1*04725 
 
 1-0971 
 
 1-058 
 
 1-05 
 
 1-14699 
 
 i'5 
 
 1*069 
 
 1-05 
 
 1*9 
 
 0*5 
 
 7 
 
 0-852 
 
 2*04725 
 
 0-3218 
 
 0-282 
 
 0-27 
 
 2-14699 
 
 2'5 
 
 2-069 
 
 2*05 
 
 2*9 
 
 '5 
 
 8 
 
 0-855 
 
 3-04725 
 
 1*3218 
 
 1*282 
 
 1*27 
 
 3-14699 
 
 3'5 
 
 3*069 
 
 3-05 
 
 0-4 
 
 2'5 
 
 9 
 
 0-858 
 
 0-49607 
 
 0*5465 
 
 0-507 
 
 0*50 
 
 0*59696 
 
 0*9 
 
 0-518 
 
 0*50 
 
 '4 
 
 o-o 
 
 1O 
 
 0-860 
 
 1-49607 
 
 1*5465 
 
 1-507 
 
 1*50 
 
 1-59696 
 
 1*9 
 
 1-518 
 
 1*50 
 
 2'4 
 
 1*0 
 
 In Leap Year diminish the date in Columns i, is, by i day after Feb. 28. 
 93 
 
SATELLITE II 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 X continued Motions of Mean Longitude and the Arguments for Days 
 
 
 
 z 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 IO 
 
 ii 
 
 12 
 
 13 
 
 4 
 
 Day 
 
 Mean Long. 
 
 A 
 
 B 
 
 c 
 
 D 
 
 E 
 
 F 
 
 G-J 
 
 K 
 
 L 
 
 M 
 
 N 
 
 O 
 
 Nov. 11 
 
 o 
 
 253-04993 
 
 d 
 
 4759* ' 
 
 d 
 
 374 
 
 d 
 2-01 
 
 d 
 2-351 
 
 d 
 2-4748 
 
 d 
 2-490 
 
 d 
 3I5-00 
 
 d 
 0-08 
 
 d 
 0-13 
 
 d 
 O'OIl 
 
 d 
 O'OO 
 
 d 
 3-26 
 
 12 
 
 354-42469 
 
 5759 21 
 
 O-22 
 
 3"oi 
 
 3-35I 
 
 3-4748 
 
 3'49 
 
 3l6-OO 
 
 I -08 
 
 1"'3 
 
 roii 
 
 I'OO 
 
 0-68 
 
 13 
 
 9579945 
 
 6-75921 
 
 1*22 
 
 0-45 
 
 0-798 
 
 0-9233 
 
 0-939 
 
 3I7-00 
 
 0- 3 I 
 
 2-13 
 
 2 'Oil 
 
 2-OO 
 
 1-68 
 
 14 
 
 197-17421 
 
 0-70828 
 
 2*22 
 
 i'45 
 
 1798 
 
 1-9233 
 
 '"939 
 
 3I8-OO 
 
 I-3I 
 
 3-13 
 
 3*0 1 1 
 
 3'OO 
 
 2-68 
 
 15 
 
 298-54897 
 
 1-70828 
 
 3-22 
 
 2-45 
 
 2798 
 
 2-9233 
 
 2-939 
 
 3I9*OO 
 
 0*54 
 
 0-64 
 
 0-511 
 
 0-50 
 
 o-io 
 
 16 
 
 39"92374 
 
 2-70828 
 
 4-22 
 
 3'45 
 
 0-245 
 
 0-3719 
 
 0-388 
 
 32O*OO 
 
 i-54 
 
 1-64 
 
 1-511 
 
 1-50 
 
 I-IO 
 
 17 
 
 141-29850 
 
 3-70828 
 
 071 
 
 0-90 
 
 1-245 
 
 i-37'9 
 
 1-388 
 
 321*OO 
 
 0*78 
 
 2-64 
 
 2-511 
 
 2-50 
 
 2-IO 
 
 18 
 
 242-67326 
 
 4-70828 
 
 171 
 
 1-90 
 
 2-245 
 
 2-3719 
 
 2-388 
 
 322*OO 
 
 0*0 1 
 
 0-14 
 
 O'OII 
 
 O'OO 
 
 3-10 
 
 19 
 
 344-04802 5-70828 
 
 271 
 
 2-90 
 
 3-245 
 
 3'37i9 
 
 3-388 
 
 323*00 
 
 I'OI 
 
 I-I4 
 
 I'OI I 
 
 I-OO 
 
 0-51 
 
 2O 
 
 85-42278 
 
 6-70828 
 
 371 
 
 0-34 
 
 0-692 
 
 0-8205 
 
 0-837 
 
 324*00 
 
 0-24 
 
 2-14 
 
 2 - OI I 
 
 2*00 
 
 1-51 
 
 21 
 
 186-79754 
 
 0-65735 
 
 O'20 
 
 ''34 
 
 1-692 
 
 1-8205 
 
 1-837 
 
 325-00 
 
 1-24 
 
 3''4 
 
 3-011 
 
 3-00 
 
 2-51 
 
 22 
 
 288 17231 
 
 1-65735 
 
 1'2O 
 
 2-34 
 
 2-692 
 
 2-8205 
 
 2-837 
 
 326-OO 
 
 0-47 
 
 0-64 
 
 0-511 
 
 0*50 
 
 r$i 
 
 23 
 
 29-54707 
 
 2-65735 
 
 2'2O 
 
 3-34 
 
 0-140 
 
 0-2691 
 
 0-285 
 
 327-00 
 
 '"47 
 
 1-64 
 
 1-511 
 
 1-50 
 
 0-93 
 
 24 
 
 130-92183 
 
 365735 
 
 3'2O 
 
 0-78 
 
 I-I4O 
 
 1-2691 
 
 1-285 
 
 328-OO 
 
 0-70 
 
 2-64 
 
 2-511 
 
 2-50 
 
 1-93 
 
 25 
 
 232-29659 
 
 4-65735 
 
 4-20 
 
 178 
 
 2-140 
 
 2-2691 
 
 2-285 
 
 329-00 
 
 1-70 
 
 0-14 
 
 O'OI I 
 
 O'OO 
 
 2-93 
 
 26 
 
 333-67I35 
 
 5^5735 
 
 0-69 
 
 2-78 
 
 3-I40 
 
 3-2691 
 
 3-285 
 
 33O-OO 
 
 0-93 
 
 1-14 
 
 1*011 
 
 I'OO 
 
 0-35 
 
 27 
 
 75-04611 
 
 6-65735 
 
 1-69 
 
 0'22 
 
 0-587 
 
 07176 0734 
 
 33I-00 
 
 0-16 
 
 2-14 
 
 2*011 
 
 2'OO 
 
 '-35 
 
 28 
 
 176-42088 
 
 0-60642 
 
 2-69 
 
 I'22 
 
 1-587 
 
 1-7176 1-734 
 
 332-00 
 
 1-16 
 
 3-i4 
 
 3*01 1 
 
 3-00 
 
 2-35 
 
 29 
 
 27779564 
 
 1-60642 
 
 3^9 
 
 2'22 
 
 2-587 
 
 27176 2-734 
 
 333-00 
 
 0-39 
 
 0-64 
 
 0*511 
 
 0-49 
 
 3-35 
 
 30 
 
 19-17040 
 
 2-60642 
 
 0-18 
 
 3-22 
 
 0-034 
 
 0-1662 
 
 0-183 
 
 334-oo 
 
 i-39 
 
 1-64 
 
 1-511 
 
 1-49 
 
 0-76 
 
 Dec. 1 
 
 120-54516 
 
 3-60642 
 
 1-18 
 
 0-67 
 
 1-034 
 
 1-1662 
 
 1-183 
 
 335-00 
 
 0-62 
 
 2-64 
 
 2-511 
 
 2-49 
 
 1-76 
 
 2 
 
 221-91992 
 
 4*60642 
 
 2-18 
 
 I-6 7 
 
 2-034 
 
 2-1662 
 
 2-183 
 
 336-00 
 
 1-62 
 
 0-14 
 
 O'OI I 
 
 3-49 
 
 2-76 
 
 3 
 
 323-29468 
 
 5-60642 
 
 3-i8 
 
 2-6 7 
 
 3-034 
 
 3-1662 
 
 3-183 
 
 337-00 
 
 0-85 
 
 1-14 
 
 I -01 I 
 
 0-99 
 
 0-18 
 
 4 
 
 64-66945 
 
 6-60642 
 
 4-18 
 
 o-ii 
 
 0-481 
 
 0-6148 
 
 0-632 
 
 338-00 
 
 0-08 
 
 2-14 
 
 2-01 I 
 
 i 99 
 
 1-18 
 
 5 
 
 166-04421 
 
 0-5555 
 
 0-67 
 
 I'll 
 
 1-481 
 
 1-6148 
 
 1-632 
 
 339-00 
 
 1-08 
 
 3-14 
 
 3'OII 
 
 2-99 
 
 2-18 
 
 6 
 
 267-41897 
 
 '55550 
 
 1-67 
 
 2-II 
 
 2-481 
 
 2-6148 
 
 2-632 
 
 340-00 
 
 0-31 
 
 0-64 
 
 0*5I2 
 
 0-49 
 
 3'i8 
 
 7 
 
 8-79373 
 
 2-55550 
 
 2-67 
 
 3-II 
 
 3H8I 
 
 0-0634 
 
 0-080 
 
 341*00 
 
 1-31 
 
 1-64 
 
 I-5I2 
 
 1-49 
 
 o - 6o 
 
 8 
 
 110-16849 
 
 3-5555 
 
 3-67 
 
 0-55 
 
 0-928 
 
 1-0634 
 
 i -080 
 
 342*00 
 
 o-55 
 
 2-64 
 
 2-512 
 
 2-49 
 
 i -60 
 
 9 
 
 211-54325 
 
 4-55550 
 
 0-16 
 
 i-55 
 
 1-928 
 
 2-0634 
 
 2-080 
 
 343-oo 
 
 '55 
 
 0-15 
 
 0-012 
 
 3 '49 
 
 2-60 
 
 1O 
 
 312-91802 
 
 5'55550 
 
 1-16 
 
 *'5S 
 
 2-928 
 
 3-0634 
 
 3-080 
 
 344*00 
 
 0-78 
 
 1-15 
 
 I'OI2 
 
 0-99 
 
 0*01 
 
 11 
 
 54-29278 
 
 6-55550 
 
 2-16 
 
 O'OO 
 
 0-375 
 
 0-5119 
 
 0-529 
 
 345-oo 
 
 O'OI 
 
 2-15 
 
 2'O12 
 
 1-99 
 
 I'OI 
 
 12 
 
 155-66754 
 
 0-50457 
 
 3-i6 
 
 i-oo 
 
 J'375 
 
 1-5119 
 
 1-529 
 
 346*00 
 
 I'OI 
 
 3-!5 
 
 3-OI2 
 
 2 - 99 
 
 2'OI 
 
 13 
 
 257-04230 
 
 1-50457 
 
 4-16 
 
 2-OO 
 
 2-375 
 
 2-5119 
 
 2-529 
 
 347*00 
 
 0-24 
 
 0-65 
 
 0-5I2 
 
 0-49 
 
 3-01 
 
 14 
 
 358-41706 
 
 2-50457 
 
 0-65 
 
 3-00 
 
 3-375 
 
 3'5 n 9 
 
 3-529 
 
 348-00 
 
 1-24 
 
 1-65 
 
 I-5I2 
 
 1-49 
 
 0-43 
 
 15 
 
 99-79182 
 
 3-50457 
 
 1-65 
 
 0-44 
 
 0-823 
 
 0-9605 
 
 0-978 
 
 349-00 
 
 0-47 
 
 2-65 
 
 2-5I2 
 
 2-49 
 
 '43 
 
 16 
 
 201-16659 
 
 4-50457 
 
 2-65 
 
 1-44 
 
 1-823 
 
 1-9605 
 
 1-978 
 
 350-00 
 
 1-47 
 
 0-15 
 
 0-012 
 
 3-49 
 
 2-43 
 
 17 
 
 302-54135 
 
 5-50457 
 
 3-65 
 
 2-44 
 
 2-823 
 
 2-9605 
 
 2-978 
 
 351-00 
 
 0-70 
 
 1-15 
 
 I'OI2 
 
 0-99 
 
 3H3 
 
 18 
 
 43-91611 
 
 6-50457 
 
 0-14 
 
 3-44 
 
 O-270 
 
 0-409 1 
 
 0-427 
 
 352-00 
 
 1-70 
 
 2-15 
 
 2-012 
 
 1-99 
 
 0-85 
 
 19 
 
 145-29087 
 
 0-45364 
 
 1-14 
 
 0-88 
 
 I-27O 
 
 1-4091 
 
 1-427 
 
 353'oo 
 
 0-93 
 
 3-15 
 
 3"OI2 
 
 2-99 
 
 1-85 
 
 2O 
 
 246-66563 
 
 1-45364 
 
 2-14 
 
 1-88 
 
 2-270 
 
 2-4091 
 
 2-427 
 
 354*00 
 
 0-16 
 
 0-65 
 
 0-512 
 
 0-49 
 
 2-85 
 
 21 
 
 348-04039 
 
 *-45364 
 
 3''4 
 
 2-88 
 
 3-270 
 
 3-49' 
 
 3-427 
 
 355*00 
 
 1-16 
 
 1-65 
 
 I-512 
 
 1-49 
 
 0-26 
 
 22 
 
 89-41516 
 
 3-45364 
 
 4-14 
 
 o-33 
 
 0717 
 
 0-8577 0-875 
 
 356*00 
 
 0-39 
 
 2-65 
 
 2-5I2 
 
 2-49 
 
 1-26 
 
 23 
 
 190-78992 
 
 4-45364 
 
 0-63 
 
 i'33 
 
 1-7I7 
 
 1-8577 1-875 
 
 357*00 
 
 '39 
 
 0-15 
 
 O-O12 
 
 3 '49 
 
 2-26 
 
 24 
 
 292-16468 
 
 5-45364 
 
 1-63 
 
 z'33 
 
 2-7I7 
 
 2-8577 
 
 2-875 
 
 358*00 
 
 0-62 
 
 1-15 
 
 I'OI2 
 
 0-99 
 
 3-26 
 
 25 
 
 33-53944 
 
 6-45364 
 
 2-63 
 
 3'33 
 
 0-164 
 
 0-3063 
 
 0-324 
 
 359-00 
 
 1-62 
 
 2-15 
 
 2*OI2 
 
 1-99 
 
 0-68 
 
 26 
 
 134-91420 
 
 0-40272 
 
 3-63 
 
 077 
 
 1-164 
 
 1-3063 
 
 1-324 
 
 360-00 
 
 0-85 
 
 3-i5 
 
 3*O 1 2 
 
 2-99 
 
 1-68 
 
 27 
 
 236-28896 
 
 1-40272 
 
 O'll 
 
 1-77 
 
 2-164 
 
 2-3063 
 
 2-324 
 
 361-00 
 
 0-08 
 
 0-65 
 
 0*5I2 
 
 0-49 
 
 2-68 
 
 28 
 
 337-66373 
 
 2-40272 
 
 I'll 
 
 2-77 
 
 3-164 
 
 3-3063 
 
 3-324 
 
 362-00 
 
 i -08 
 
 1-65 
 
 1-5I2 
 
 1-49 
 
 o-io 
 
 29 
 
 79-03849 
 
 3-40*72 
 
 2-II 
 
 O'2I 
 
 0-611 
 
 0-7548 
 
 0-773 
 
 363-00 
 
 0-31 
 
 2-65 
 
 2-512 
 
 2-49 
 
 no 
 
 30 
 
 180-41325 
 
 4-40272 
 
 I*" 
 
 I'll 
 
 i -6 1 1 
 
 1-7548 
 
 1-773 
 
 364-00 
 
 i'3' 
 
 0-15 
 
 O'OI2 
 
 3-49 
 
 2-10 
 
 31 
 
 281-78801 
 
 5-40272 
 
 4'H 
 
 2'2I 
 
 2 '6 1 I 
 
 2-7548 
 
 2-773 
 
 365-00 
 
 0-55 
 
 1-15 
 
 1-OI2 
 
 0-99 
 
 3-10 
 
 32 
 
 23-16277 
 
 6-40272 
 
 O'6o 
 
 3'2I 
 
 0-058 
 
 0-2034 
 
 0*222 
 
 366-00 
 
 '55 
 
 2-15 
 
 2'OI2 
 
 1-99 
 
 0-51 
 
 In Leap Year diminish the date in Columns i, 15, by i day after Feb. 28. 
 94 
 
SATELLITE II 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 X continued Motions of Mean Longitude and the Arguments for Days 
 
 '5 
 
 16 
 
 17 
 
 il 
 
 '9 
 
 20 
 
 21 
 
 22 
 
 Z 3 
 
 24 
 
 *5 
 
 26 
 
 Day 
 
 P 
 
 Q 
 
 R 
 
 s 
 
 T 
 
 u 
 
 V 
 
 W 
 
 X 
 
 Y 
 
 Z 
 
 
 
 
 
 
 t 
 
 
 
 
 
 
 y 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 Nov. 11 
 
 0-863 
 
 2-49607 
 
 07712 
 
 0731 
 
 O-72 
 
 2-59696 
 
 2- 9 
 
 2-518 
 
 2*50 
 
 3'4 
 
 2*O 
 
 12 0-866 
 
 3-49607 
 
 I-77I2 
 
 I-73I 
 
 172 
 
 0-04692 
 
 "4 
 
 3-5I8 
 
 3-50 
 
 0- 9 
 
 3-0 
 
 13 0-868 
 
 0-94489 
 
 0-9959 
 
 0-956 
 
 0-95 
 
 1-04692 
 
 ''4 
 
 0-967 
 
 0*95 
 
 1*9 
 
 0*4 
 
 14 : 0-871 
 
 1-94489 
 
 O'22O6 
 
 0-lSo 
 
 O-I? 
 
 2-04692 
 
 *'4 
 
 1-967 
 
 1-95 
 
 2*9 
 
 '4 
 
 15 0-874 
 
 2-94489 
 
 I -22O6 
 
 1-180 
 
 PI7 
 
 3-04692 
 
 3'4 
 
 2-967 
 
 2'95 
 
 0-4 
 
 2*4 
 
 16 0-877 
 
 0-39371 
 
 0-4453 
 
 0-405 
 
 0-40 
 
 0-49689 
 
 0-8 
 
 0-416 
 
 0-40 
 
 '4 
 
 3'4 
 
 17 0-879 
 
 I-3937I 
 
 1-4453 
 
 1-405 
 
 I-40 
 
 1-49689 
 
 1-8 
 
 1-416 
 
 1-40 
 
 *'4 
 
 0*9 
 
 18 0-882 
 
 z'3937" 
 
 0-6700 
 
 0-629 
 
 O-62 
 
 2-49689 
 
 2-8 
 
 2-416 
 
 2-40 
 
 3'4 
 
 1*9 
 
 19 
 
 0-885 
 
 3-3937I 
 
 1-6700 
 
 1-629 
 
 1-62 
 
 3-49689 
 
 0-3 
 
 3-416 
 
 3'40 
 
 0-9 
 
 2*9 
 
 20 
 
 0-888 
 
 0-84253 
 
 0-8947 
 
 0-854 
 
 0-85 
 
 0-94685 
 
 i'3 
 
 0-865 
 
 0-85 
 
 1*9 
 
 o-3 
 
 21 
 
 0-890 
 
 i-84 z S3 
 
 0-II94 
 
 0-078 
 
 O-O7 
 
 1-94685 
 
 2-3 
 
 1-865 
 
 1-85 
 
 2-9 
 
 i"3 
 
 22 
 
 0-893 
 
 2-84253 
 
 I-II94 
 
 1-078 
 
 1-07 
 
 2-94685 
 
 3'3 
 
 2-865 
 
 2-85 
 
 0-4 
 
 '3 
 
 23 
 
 0-896 
 
 0-29135 
 
 Q'344 1 
 
 0-303 
 
 O-29 
 
 0-39682 
 
 07 
 
 0-314 
 
 0-30 
 
 '4 
 
 3'3 
 
 24 
 
 0-899 
 
 1-29135 
 
 1-3441 
 
 1-303 
 
 I-2 9 
 
 1-39682 
 
 1-7 
 
 i'34 
 
 1-30 
 
 2*4 
 
 0-8 
 
 25 
 
 0-901 
 
 2-29135 
 
 0-5688 
 
 0-527 
 
 0-52 
 
 2-39682 
 
 2-7 
 
 2'34 
 
 2-30 
 
 3-4 
 
 1-8 
 
 26 
 
 0-904 
 
 3-29135 
 
 1-5688 
 
 1-527 
 
 1-52 
 
 3-39682 
 
 O'2 
 
 3'3H 
 
 3-30 
 
 0-9 
 
 2-8 
 
 27 
 
 0-907 
 
 0-74017 
 
 0-7935 
 
 0-752 
 
 0-74 
 
 0-84678 
 
 I'2 
 
 0-763 
 
 0-75 
 
 '9 
 
 0*2 
 
 28 
 
 0-910 
 
 1-74017 
 
 0-0182 
 
 1752 
 
 174 
 
 1-84678 
 
 2-2 
 
 1763 
 
 1-75 
 
 2-9 
 
 It 
 
 29 
 
 0-912 
 
 2-74017 
 
 1-0182 
 
 0-976 
 
 0-97 
 
 2-84678 
 
 3' 
 
 2-763 
 
 275 
 
 0*4 
 
 2*2 
 
 3O 
 
 0-915 
 
 0-18899 
 
 0-2429 
 
 O-20I 
 
 O-I9 
 
 0-29675 
 
 0-6 
 
 O'2I2 
 
 0-19 
 
 i'4 
 
 3'2 
 
 Dec. 1 
 
 0-918 
 
 1-18899 
 
 1-2429 
 
 I - 2OI 
 
 I-I9 
 
 1-29675 
 
 1-6 
 
 I -2 1 2 
 
 1-19 
 
 2'4 
 
 0*6 
 
 2 
 
 0-921 
 
 2-18899 
 
 0-4676 
 
 0-425 
 
 0-42 
 
 2-29675 
 
 2*6 
 
 2*212 
 
 2-19 
 
 3'4 
 
 1-6 
 
 3 
 
 0-923 
 
 3-18899 
 
 1-4676 
 
 I-425 
 
 I-42 
 
 3-29675 
 
 o-i 
 
 3'2I2 
 
 3''9 
 
 0-9 
 
 2-6 
 
 4 
 
 0-926 
 
 0-63780 
 
 0-6923 
 
 0-649 
 
 0-64 
 
 0-74671 
 
 1*1 
 
 0-661 
 
 0*64 
 
 1*9 
 
 O*I 
 
 5 
 
 0-929 
 
 1-63780 
 
 1-6923 
 
 1-649 
 
 1-64 
 
 I7467I 
 
 2-1 
 
 i *66 1 
 
 1-64 
 
 2'9 
 
 1*1 
 
 6 
 
 0-932 
 
 2-63780 
 
 0-9170 
 
 0-874 
 
 0-87 
 
 174671 
 
 3"! 
 
 2*661 
 
 2*64 
 
 0*4 
 
 2*1 
 
 7 
 
 o-934 
 
 0-08662 
 
 0-1417 
 
 0-098 
 
 O-Og 
 
 0-19668 
 
 0-5 
 
 O'l IO 
 
 0-09 
 
 i '4 
 
 3'1 
 
 8 
 
 0-937 
 
 1-08662 
 
 1-1417 
 
 1*098 
 
 1-09 
 
 1-19668 
 
 J'5 
 
 mo 
 
 1-09 
 
 2*4 
 
 0-5 
 
 9 
 
 0-940 
 
 2-08662 
 
 0-3664 
 
 0-323 
 
 0-31 
 
 2-19668 
 
 2'5 
 
 2-1 10 
 
 2-09 
 
 3'4 
 
 1-5 
 
 10 
 
 0-942 
 
 3-08662 
 
 1-3664 
 
 1-323 
 
 I-3I 
 
 3-19668 
 
 O'O 
 
 3-110 
 
 3-09 
 
 0-9 
 
 2-5 
 
 11 
 
 0-945 
 
 0-53544 
 
 0-5910 
 
 0-547 
 
 0-54 
 
 0-64664 
 
 I'O 
 
 0-559 
 
 0-54 
 
 1*9 
 
 o-o 
 
 12 
 
 0-948 
 
 1-53544 
 
 1-5910 
 
 "'547 
 
 i'54 
 
 1-64664 
 
 2-O 
 
 '559 
 
 '54 
 
 2-9 
 
 I'O 
 
 13 
 
 0-951 
 
 *-53544 
 
 0-8157 
 
 0-772 
 
 0-76 
 
 2-64664 
 
 3'0 
 
 2-559 
 
 2-54 
 
 0-4 
 
 2-0 
 
 14 
 
 0-953 
 
 3-53544 
 
 0-0404 
 
 1-772 
 
 176 
 
 0-09661 
 
 0-4 
 
 0-008 
 
 3'54 
 
 i'4 
 
 3*0 
 
 15 
 
 0-956 
 
 0-98426 
 
 1-0404 
 
 0-996 
 
 0-99 
 
 1-09661 
 
 I- 4 
 
 I -008 
 
 0-99 
 
 2-4 
 
 0*4 
 
 16 
 
 0-959 
 
 1-98426 
 
 0-2651 
 
 O-22I 
 
 O'2I 
 
 2-09661 
 
 2'4 
 
 2-008 
 
 1*99 
 
 3'4 
 
 "4 
 
 17 
 
 0-962 
 
 2-98426 
 
 1-2651 
 
 I-22I 
 
 I -21 
 
 3-09661 
 
 3'4 
 
 3-008 
 
 2-99 
 
 0-9 
 
 2*4 
 
 18 
 
 0-964 
 
 0-43308 
 
 0-4898 
 
 0-445 
 
 0-44 
 
 0-54657 
 
 0'9 
 
 0-457 
 
 0-44 
 
 1-9 
 
 3'4 
 
 19 
 
 0-967 
 
 1-43308 
 
 1-4898 
 
 I- 445 
 
 1-44 
 
 1-54657 
 
 1-9 
 
 1-457 
 
 '44 
 
 2-9 
 
 0*9 
 
 20 
 
 0-970 
 
 2-43308 
 
 0-7145 
 
 0-670 
 
 0-66 
 
 2-54657 
 
 2'9 
 
 2-457 
 
 2*44 
 
 0-4 
 
 1-9 
 
 21 
 
 o-973 
 
 3-43308 
 
 1-7145 
 
 I-670 
 
 1-66 
 
 3'54657 
 
 0-4 
 
 3*457 
 
 3-44 
 
 i'4 
 
 2-9 
 
 22 
 
 0-975 
 
 0-88190 
 
 0-9392 
 
 0-894 
 
 0-88 
 
 0-99654 
 
 I'4 
 
 0-906 
 
 0-89 
 
 2'4 
 
 0-3 
 
 23 
 
 0-978 
 
 1-88190 
 
 0-1639 
 
 o-i 19 
 
 O'll 
 
 1-99654 
 
 *"4 
 
 1-906 
 
 1-89 
 
 3'4 
 
 '3 
 
 24 
 
 0-981 
 
 2-88190 
 
 1-1639 
 
 I-I1 9 
 
 rii 
 
 2-99654 
 
 3'4 
 
 2-906 
 
 2-89 
 
 0-9 
 
 2-3 
 
 25 
 
 0-984 
 
 0-33072 
 
 0-3886 
 
 0-343 
 
 0-33 
 
 0-44650 
 
 0-8 
 
 0-356 
 
 o-34 
 
 1-9 
 
 3'3 
 
 26 
 
 0-986 
 
 1-33071 
 
 1-3886 
 
 1-343 
 
 '33 
 
 1-44650 
 
 1-8 
 
 1-356 
 
 t'34 
 
 2-9 
 
 0-7 
 
 27 
 
 0-989 
 
 2-33072 
 
 0-6133 
 
 0-568 
 
 0-56 
 
 2-44650 
 
 2-8 
 
 2-356 
 
 2-34 
 
 0-4 
 
 1-7 
 
 28 
 
 0-992 
 
 3-33072 
 
 1-6133 
 
 1-568 
 
 1-56 
 
 3-44650 
 
 0-3 
 
 3-356 
 
 3'34 
 
 i'4 
 
 2-7 
 
 29 
 
 0-995 
 
 077954 
 
 0-8380 
 
 0792 
 
 0-78 
 
 0-89646 
 
 1-3 
 
 0-805 
 
 0-79 
 
 2-4 
 
 0*2 
 
 30 
 
 0-997 
 
 '77954 
 
 0-0627 
 
 O-OI7 
 
 O'OI 
 
 1-89646 
 
 2'3 
 
 1-805 
 
 1-79 
 
 3'4 
 
 1-2 
 
 31 
 
 1*000 
 
 2-77954 
 
 1*0627 
 
 1-017 
 
 roi 
 
 2-89646 
 
 3'3 
 
 2-805 
 
 2*79 
 
 0-9 
 
 2*2 
 
 32 
 
 1-003 
 
 0-22836 
 
 0-2874 ' 0-241 
 
 0-23 
 
 0-34643 
 
 0-7 
 
 0-254 
 
 0-23 
 
 1-9 
 
 3'2 
 
 In Leap Year diminish the date In Columns i, 15, by i day after Feb. 28. 
 95 
 
XI 
 
 SATELLITE II 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 Motion of Mean Longitude for Parts of a Day 
 
 I 
 
 
 
 i 
 
 z 
 
 Days 
 
 Mean Long. 
 
 Days 
 
 Mean Long. 
 
 d 
 
 001 
 
 o 
 
 1-01375 
 
 d 
 O51 
 
 o 
 
 51-70113 
 
 02 
 
 2-02750 
 
 52 
 
 52-71488 
 
 OS 
 
 3-04124 
 
 53 
 
 53-72862 
 
 O4 
 
 4-05499 
 
 54 
 
 54-74237 
 
 05 
 
 5-06874 
 
 55 
 
 55-75612 
 
 006 
 
 6-08249 
 
 056 
 
 56-76987 
 
 07 
 
 7*09623 
 
 57 
 
 57-78361 
 
 08 
 
 8-10998 
 
 58 
 
 5879736 
 
 09 
 
 9-12373 
 
 59 
 
 59-81111 
 
 10 
 
 10-13748 
 
 60 
 
 60-82486 
 
 Oil 
 
 11-15122 
 
 61 
 
 61-83860 
 
 12 
 
 12-16497 
 
 62 
 
 62-85235 
 
 13 
 
 13-17872 
 
 63 
 
 63-86610 
 
 14 
 
 14-19247 
 
 64 
 
 64-87985 
 
 15 
 
 15-20621 
 
 65 
 
 65-89360 
 
 016 
 
 16-21996 
 
 066 
 
 66-90734 
 
 IT 
 
 17-23371 
 
 67 
 
 67-92109 
 
 18 
 
 18-24746 
 
 68 
 
 68-93484 
 
 19 
 
 19*26120 
 
 69 
 
 69-94859 
 
 20 
 
 20-27495 
 
 7O 
 
 70-96233 
 
 021 
 
 21-28870 
 
 O-71 
 
 71-97608 
 
 22 
 
 22-30245 
 
 72 
 
 72-98983 
 
 23 
 
 23-31620 
 
 73 
 
 74-00358 
 
 24 
 
 24-32994 
 
 74 
 
 75-01732 
 
 25 
 
 25-34369 
 
 75 
 
 76-03107 
 
 026 
 
 26-35744 
 
 076 
 
 77-04482 
 
 27 
 
 27-37119 
 
 77 
 
 78-05857 
 
 28 
 
 28-38493 
 
 78 
 
 79-07231 
 
 29 
 
 29-39868 
 
 79 
 
 80-08606 
 
 30 
 
 30-41243 
 
 8O 
 
 81-09981 
 
 031 
 
 31-42618 
 
 081 
 
 82-11356 
 
 32 
 
 32-43992 
 
 82 
 
 83-12730 
 
 33 
 
 33-45367 
 
 83 
 
 84-14105 
 
 34 
 
 34'4 6 742 
 
 84 
 
 85-15480 
 
 35 
 
 35-48ii7 
 
 85 
 
 86-16855 
 
 036 
 
 36-49491 
 
 086 
 
 87-18230 
 
 37 
 
 37-50866 
 
 87 
 
 88-19604 
 
 38 
 
 38-52241 
 
 88 
 
 89-20979 
 
 39 
 
 39-536i6 
 
 89 
 
 90-22354 
 
 40 
 
 40-54990 
 
 90 
 
 91-23729 
 
 O-41 
 
 41-56365 
 
 91 
 
 92-25103 
 
 42 
 
 42-57740 
 
 92 
 
 93-26478 
 
 43 
 
 43'59 II 5 
 
 93 
 
 94-27853 
 
 44 
 
 44-60490 
 
 94 
 
 95-29228 
 
 45 
 
 45-61864 
 
 95 
 
 96-30602 
 
 046 
 
 46-63239 
 
 096 
 
 97"3'977 
 
 47 
 
 47-64614 
 
 97 
 
 9 8 '33352 
 
 48 
 
 48-65989 
 
 98 
 
 99-34727 
 
 49 
 
 49-67363 
 
 99 
 
 100-36101 
 
 BO 
 
 50-68738 
 
 1 00 
 
 101-37476 
 
 3 
 
 4 
 
 3 
 
 4 
 
 Days 
 
 Mean Long. 
 
 Days 
 
 Mean Long. 
 
 d 
 00001 
 
 o 
 
 0-01014 
 
 d 
 
 OOO51 
 
 0-51701 
 
 2 
 
 02027 
 
 52 -52715 
 
 3 
 
 03041 
 
 53 
 
 53729 
 
 4 
 
 04055 
 
 54 
 
 54742 
 
 5 
 
 05069 
 
 55 
 
 55756 
 
 00006 
 
 0-06083 
 
 00056 
 
 0-56770 
 
 7 
 
 07096 
 
 57 
 
 57784 
 
 8 
 
 08 1 10 
 
 58 
 
 58797 
 
 9 
 
 09124 
 
 59 
 
 59811 
 
 10 
 
 10137 
 
 6O 
 
 60825 
 
 00 1 1 
 
 0-11151 
 
 00061 
 
 o - 6i839 
 
 12 
 
 12165 
 
 62 
 
 62852 
 
 13 
 
 3'79 
 
 63 
 
 63866 
 
 14 
 
 14192 
 
 64 
 
 64880 
 
 15 
 
 15206 
 
 65 
 
 65894 
 
 00 1 6 
 
 0-16220 
 
 00066 
 
 0-66907 
 
 17 
 
 '7234 
 
 67 
 
 67921 
 
 18 
 
 18247 
 
 68 
 
 68935 
 
 19 
 
 19261 
 
 69 
 
 69949 
 
 2O 
 
 20275 
 
 7O 
 
 70962 
 
 00021 
 
 0-21289 
 
 OOO71 
 
 071976 
 
 22 
 
 22302 
 
 72 
 
 72990 
 
 23 
 
 23316 
 
 73 
 
 74004 
 
 24 
 
 24330 
 
 74 
 
 75017 
 
 25 
 
 25344 
 
 75 
 
 76031 
 
 00026 
 
 0-26357 
 
 00076 
 
 077045 
 
 27 
 
 27371 
 
 77 
 
 78059 
 
 28 
 
 28385 
 
 78 
 
 79072 
 
 29 
 
 -29399 
 
 79 
 
 80086 
 
 30 
 
 30412 
 
 80 
 
 81100 
 
 00031 
 
 0-31426 
 
 0-0081 
 
 0-82114 
 
 32 
 
 32440 
 
 82 
 
 83127 
 
 33 
 
 '33454 
 
 83 
 
 84141 
 
 34 
 
 344 6 7 
 
 84 
 
 85155 
 
 35 
 
 3548i 
 
 85 
 
 86169 
 
 O 0036 
 
 0-36495 
 
 00086 
 
 0-87182 
 
 37 
 
 375 9 
 
 87 
 
 88196 
 
 38 
 
 38522 
 
 88 
 
 89210 
 
 39 
 
 39536 
 
 89 
 
 90224 
 
 40 
 
 40550 
 
 90 
 
 9 I2 37 
 
 O-OO41 
 
 0-41564 
 
 OOO91 
 
 0-9225 1 
 
 42 
 
 42577 
 
 92 
 
 93265 
 
 43 
 
 4359 1 
 
 93 
 
 94279 
 
 44 
 
 44605 
 
 94 
 
 95292 
 
 45 
 
 45619 
 
 95 
 
 96306 
 
 OO046 
 
 0-46632 
 
 00096 
 
 0-97320 
 
 47 
 
 47646 
 
 97 
 
 -9 8 334 
 
 48 
 
 48660 
 
 98 
 
 '99347 
 
 49 
 
 H9674 
 
 99 
 
 1-00361 
 
 50 
 
 0-50687 
 
 OO1OO 
 
 1-01375 
 
 For the Arguments A Z (omitting P), the fraction of a day must be added to the sum of the entries taken from Tables IX, X. 
 
 ,6 
 
XII 
 
 SATELLITE II 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 Equation of Longitude Argument A 
 
 I 
 
 z 
 
 3 
 
 4 
 
 I 
 
 2 
 
 3 
 
 4 
 
 i 
 
 2 
 
 3 
 
 4 
 
 . 
 
 2 
 
 3 
 
 4 
 
 A 
 
 Equa- 
 
 A 
 
 A" 
 
 A 
 
 Equa- 
 
 A 
 
 iA2 
 
 A 
 
 Equa- 
 
 A 
 
 iA 2 
 
 A 
 
 Equa- 
 
 A 
 
 A 2 
 
 
 tion 
 
 
 
 
 tion 
 
 
 
 
 
 tion 
 
 
 B 
 
 
 tion 
 
 
 2 
 
 d 
 00 
 
 
 
 1-07500 
 
 + '934 
 
 o 
 
 d 
 
 050 
 
 o 
 
 1-91274 
 
 + 1185 
 
 -13 
 
 d 
 
 1 00 
 
 o 
 
 2-11128 
 
 - 434 
 
 -16 
 
 d 
 
 1 50 
 
 1-53916 
 
 - 1700 
 
 - 8 
 
 01 
 
 1-09434 
 
 '934 
 
 - I 
 
 51 
 
 1-92446 
 
 1158 
 
 '5 
 
 01 
 
 2-10678 
 
 467 
 
 18 
 
 51 
 
 52208 
 
 1715 
 
 7 
 
 02 
 
 1-11367 
 
 '932 
 
 I 
 
 52 
 
 '93589 
 
 1128 
 
 16 
 
 02 
 
 2*10194 
 
 500 
 
 16 
 
 52 
 
 50486 
 
 1729 
 
 7 
 
 O3 
 
 1-13298 
 
 1930 
 
 I 
 
 53 
 
 1-94701 
 
 1099 
 
 '3 
 
 03 
 
 2-09678 
 
 S3* 
 
 16 
 
 53 
 
 48751 
 
 1742 
 
 7 
 
 04 
 
 1-15228 
 
 1929 
 
 I 
 
 54 
 
 1-95787 
 
 1072 
 
 '5 
 
 04 
 
 2 - O9i3o 
 
 565 
 
 '7 
 
 54 
 
 47002 
 
 1756 
 
 7 
 
 05 
 
 1-17156 
 
 1926 
 
 2 
 
 55 
 
 1-96844 
 
 1043 
 
 '5 
 
 05 
 
 2 - o8549 
 
 597 
 
 16 
 
 55 
 
 45240 
 
 1768 
 
 6 
 
 006 
 
 1-19080 
 
 + 1923 
 
 - 2 
 
 056 
 
 1-97872 
 
 + 1014 
 
 -'5 
 
 1 06 
 
 2-07937 
 
 - 629 
 
 -16 
 
 1 56 
 
 43467 
 
 -1778 
 
 - 5 
 
 07 
 
 1-21001 
 
 1918 
 
 3 
 
 57 
 
 1-98871 
 
 984 
 
 16 
 
 07 
 
 2-07293 
 
 660 
 
 16 
 
 57 
 
 41684 
 
 1789 
 
 6 
 
 OS 
 
 I-229I5 
 
 1912 
 
 3 
 
 58 
 
 1-99839 
 
 953 
 
 '5 
 
 08 
 
 2-06618 
 
 691 
 
 16 
 
 58 
 
 39889 
 
 1800 
 
 5 
 
 09 
 
 1-24824 
 
 1907 
 
 2 
 
 59 
 
 2-00777 
 
 922 
 
 16 
 
 09 
 
 2-0591 1 
 
 724 
 
 16 
 
 59 
 
 38084 
 
 1810 
 
 5 
 
 1O 
 
 1-26730 
 
 1902 
 
 4 
 
 60 
 
 2-01683 
 
 892 
 
 '5 
 
 10 
 
 2-05173 
 
 754 
 
 16 
 
 60 
 
 36269 
 
 1820 
 
 5 
 
 0-11 
 
 I-28628 
 
 + 1895 
 
 4 
 
 061 
 
 2-02560 
 
 + 861 
 
 -16 
 
 I'll 
 
 2-04404 
 
 - 784 
 
 -'5 
 
 1-61 
 
 '34445 
 
 - 1829 
 
 5 
 
 12 
 
 1-30519 
 
 1887 
 
 4 
 
 62 
 
 2-03405 
 
 830 
 
 '5 
 
 12 
 
 2-03605 
 
 814 
 
 '5 
 
 62 
 
 32612 
 
 1837 
 
 4 
 
 13 
 
 1-32402 
 
 1879 
 
 4 
 
 63 
 
 2-04220 
 
 799 
 
 16 
 
 13 
 
 2-02776 
 
 845 
 
 16 
 
 63 
 
 30771 
 
 1844 
 
 3 
 
 14 
 
 I-34277 
 
 1871 
 
 5 
 
 64 
 
 2-05003 
 
 768 
 
 16 
 
 14 
 
 2-01916 
 
 875 
 
 '5 
 
 64 
 
 28924 
 
 1851 
 
 4 
 
 15 
 
 I'S^HS 
 
 1861 
 
 5 
 
 65 
 
 2-05755 
 
 737 
 
 16 
 
 15 
 
 2-01026 
 
 95 
 
 '5 
 
 65 
 
 27069 
 
 1858 
 
 3 
 
 016 
 
 1-37999 
 
 + 1851 
 
 - 5 
 
 0-66 
 
 2-06476 
 
 + 705 
 
 -'7 
 
 1-16 
 
 2-00106 
 
 - 934 
 
 -'4 
 
 1-66 
 
 25208 
 
 - 1864 
 
 - 3 
 
 17 
 
 '39 8 45 
 
 1841 
 
 6 
 
 67 
 
 2-07164 
 
 672 
 
 '7 
 
 17 
 
 1-99158 
 
 962 
 
 '4 
 
 67 
 
 2334 2 
 
 1869 
 
 3 
 
 18 
 
 1-41680 
 
 1830 
 
 6 
 
 68 
 
 2-07819 
 
 639 
 
 16 
 
 18 
 
 1-98182 
 
 991 
 
 15 
 
 68 
 
 21470 
 
 1874 
 
 2 
 
 19 
 
 1-43504 
 
 1819 
 
 6 
 
 69 
 
 2-08442 
 
 607 
 
 '7 
 
 19 
 
 1-97177 
 
 I02O 
 
 '5 
 
 69 
 
 '9594 
 
 1878 
 
 2 
 
 2O 
 
 1-45316 
 
 1805 
 
 8 
 
 70 
 
 2-09032 
 
 574 
 
 '7 
 
 2O 
 
 1-96142 
 
 1049 
 
 4 
 
 70 
 
 17714 
 
 1882 
 
 2 
 
 021 
 
 I-47II3 
 
 + 1791 
 
 - 6 
 
 0'71 
 
 2-09589 
 
 + 54' 
 
 -'7 
 
 1-21 
 
 1-95079 
 
 - 1076 
 
 -'3 
 
 1'71 
 
 15831 
 
 -1885 
 
 - 2 
 
 22 
 
 1-48898 
 
 '779 
 
 6 
 
 72 
 
 2-IOI 13 
 
 508 
 
 16 
 
 22 
 
 1-93991 
 
 I 102 
 
 '4 
 
 72 
 
 '3945 
 
 1887 
 
 I 
 
 23 
 
 1-50671 
 
 1766 
 
 g 
 
 73 
 
 2-10605 
 
 476 
 
 '7 
 
 23 
 
 1-92875 
 
 1130 
 
 '4 
 
 73 
 
 12057 
 
 1889 
 
 I 
 
 24 
 
 1-52429 
 
 1750 
 
 8 
 
 74 
 
 2-1 1064 
 
 442 
 
 18 
 
 24 
 
 1-91731 
 
 "57 
 
 13 
 
 74 
 
 10167 
 
 1890 
 
 O 
 
 25 
 
 1-54171 
 
 1734 
 
 9 
 
 75 
 
 2-11488 
 
 408 
 
 16 
 
 25 
 
 1-90562 
 
 1183 
 
 '4 
 
 75 
 
 08277 
 
 1891 
 
 - I 
 
 26 
 
 1-55896 
 
 + 1719 
 
 - 7 
 
 O 76 
 
 2-1I880 
 
 + 375 
 
 -18 
 
 1-26 
 
 1-89366 
 
 - 1209 
 
 -'3 
 
 1-76 
 
 06386 
 
 - 1891 
 
 O 
 
 27 
 
 1-57607 
 
 1702 
 
 9 
 
 77 
 
 2-12237 
 
 340 
 
 '7 
 
 27 
 
 1-88144 
 
 1235 
 
 13 
 
 77 
 
 04495 
 
 1891 
 
 + I 
 
 28 
 
 i-593oo 
 
 1684 
 
 9 
 
 78 
 
 2-12560 
 
 307 
 
 16 
 
 28 
 
 1-86897 
 
 1259 
 
 12 
 
 78 
 
 02605 
 
 1890 
 
 I 
 
 29 
 
 1-60976 
 
 1668 
 
 9 
 
 79 
 
 2-I285I 
 
 *74 
 
 '7 
 
 29 
 
 1-85627 
 
 1284 
 
 H 
 
 79 
 
 00716 
 
 1888 
 
 2 
 
 3O 
 
 1-62635 
 
 1650 
 
 10 
 
 80 
 
 2-13IO8 
 
 240 
 
 '7 
 
 3O 
 
 1-84329 
 
 1310 
 
 12 
 
 80 
 
 0-98830 
 
 1885 
 
 I 
 
 031 
 
 1-64275 
 
 + 1631 
 
 - 9 
 
 081 
 
 2-I333I 
 
 + 206 
 
 - 17 
 
 1-31 
 
 1-83007 
 
 -1333 
 
 - I I 
 
 1-81 
 
 0-96946 
 
 -1883 
 
 + 2 
 
 32 
 
 1-65897 
 
 1612 
 
 1 1 
 
 82 
 
 2-13520 
 
 172 
 
 '7 
 
 32 
 
 1-81663 
 
 1356 
 
 12 
 
 82 
 
 0-95065 
 
 1879 
 
 2 
 
 33 
 
 1-67498 
 
 1592 
 
 10 
 
 83 
 
 2-13675 
 
 138 
 
 18 
 
 33 
 
 1-80295 
 
 '379 
 
 I I 
 
 83 
 
 0-93188 
 
 1875 
 
 2 
 
 34 
 
 1-69080 
 
 1571 
 
 ii 
 
 84 
 
 2-13795 
 
 103 
 
 '7 
 
 34 
 
 178905 
 
 1402 
 
 12 
 
 84 
 
 0-91315 
 
 1870 
 
 3 
 
 35 
 
 1-70640 
 
 'SSI 
 
 IO 
 
 85 
 
 2-I388I 
 
 70 
 
 16 
 
 35 
 
 177492 
 
 1425 
 
 12 
 
 85 
 
 0-89448 
 
 1865 
 
 3 
 
 036 
 
 1-72181 
 
 + 1530 
 
 - 12 
 
 086 
 
 z''3935 
 
 + 36 
 
 -18 
 
 1 36 
 
 176056 
 
 -1447 
 
 - II 
 
 1-86 
 
 0-87586 
 
 - 1860 
 
 + 3 
 
 37 
 
 173699 
 
 1508 
 
 II 
 
 87 
 
 2-13953 
 
 + 2 
 
 16 
 
 37 
 
 174599 
 
 1468 
 
 II 
 
 87 
 
 0-85729 
 
 1854 
 
 4 
 
 38 
 
 175196 
 
 1487 
 
 II 
 
 88 
 
 2-13939 
 
 - 32 
 
 18 
 
 38 
 
 1-73120 
 
 1489 
 
 10 
 
 88 
 
 0-83879 
 
 1846 
 
 4 
 
 39 
 
 1-76672 
 
 1463 
 
 n 
 
 89 
 
 2-13889 
 
 66 
 
 16 
 
 39 
 
 171622 
 
 1508 
 
 IO 
 
 89 
 
 0-82037 
 
 1838 
 
 4 
 
 4O 
 
 1-78122 
 
 439 
 
 ii 
 
 90 
 
 2-13807 
 
 99 
 
 '7 
 
 40 
 
 170104 
 
 1528 
 
 10 
 
 90 
 
 0-80203 
 
 1831 
 
 4 
 
 041 
 
 1-79550 
 
 + 1416 
 
 - 12 
 
 091 
 
 2 - i36gi 
 
 - '34 
 
 -18 
 
 1-41 
 
 1-68566 
 
 -'549 
 
 - II 
 
 1 91 
 
 0-78376 
 
 - 1822 
 
 + 6 
 
 42 
 
 1-80954 
 
 1392 
 
 '3 
 
 92 
 
 2-13540 
 
 168 
 
 '7 
 
 42 
 
 1-67007 
 
 1568 
 
 9 
 
 92 
 
 0-76560 
 
 1812 
 
 4 
 
 43 
 
 1-82333 
 
 '367 
 
 12 
 
 93 
 
 2-13355 
 
 202 
 
 '7 
 
 43 
 
 1-65431 
 
 1585 
 
 9 
 
 93 
 
 074752 
 
 1803 
 
 6 
 
 44 
 
 1-83688 
 
 '343 
 
 '3 
 
 94 
 
 2-13137 
 
 236 
 
 18 
 
 44 
 
 1-63837 
 
 1604 
 
 10 
 
 94 
 
 072955 
 
 1792 
 
 5 
 
 45 
 
 1-85018 
 
 '3>7 
 
 '4 
 
 95 
 
 2-12884 
 
 269 
 
 16 
 
 45 
 
 1-62224 
 
 1621 
 
 8 
 
 95 
 
 0-71168 
 
 1782 
 
 6 
 
 046 
 
 1-86321 
 
 + 1291 
 
 - 12 
 
 96 
 
 2-12599 
 
 - 302 
 
 -'7 
 
 1-46 
 
 1-60595 
 
 -1638 
 
 - 9 
 
 1 96 
 
 0-69392 
 
 -1770 
 
 + 7 
 
 47 
 
 1-87600 
 
 1266 
 
 '4 
 
 97 
 
 2-12281 
 
 335 
 
 '7 
 
 47 
 
 1-58949 
 
 1654 
 
 8 
 
 97 
 
 0-67629 
 
 1758 
 
 5 
 
 48 
 
 1-88852 
 
 1238 
 
 '4 
 
 98 
 
 2'I 1929 
 
 368 
 
 16 
 
 48 
 
 1-57287 
 
 1671 
 
 9 
 
 98 
 
 0-65876 
 
 1746 
 
 7 
 
 49 
 
 1-90076 
 
 12 I T 
 
 13 
 
 99 
 
 2'U546 
 
 401 
 
 18 
 
 49 
 
 1-55608 
 
 1686 
 
 7 
 
 99 
 
 0-64137 
 
 1732 
 
 7 
 
 050 
 
 1-91274 
 
 + 1185 
 
 -'3 
 
 1 00 
 
 2-III28 
 
 - 434 
 
 -16 
 
 1 50 
 
 1-53916 
 
 - 1700 
 
 - 8 
 
 200 
 
 0-62412 
 
 - 1718 
 
 + 7 
 
 Applied Constant : +i'<>75oo. 
 97 
 
SATELLITE II 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XII continued Equation of Longitude Argument A 
 
 I 
 
 2 
 
 3 
 
 4 
 
 i 
 
 2 
 
 3 
 
 4 
 
 i 
 
 2 
 
 3 
 
 4 
 
 i 
 
 2 
 
 3 
 
 4 
 
 A 
 
 Equa- 
 tion 
 
 A 
 
 A* 
 
 A 
 
 Equa- 
 tion 
 
 A 
 
 iA 
 
 A 
 
 Equa- 
 tion 
 
 A 
 
 JA 
 
 A 
 
 Equa- 
 tion 
 
 A 
 
 IA* 
 
 d 
 200 
 
 
 
 0-62412 
 
 - 1718 
 
 + 7 
 
 d 
 2-50 
 
 o 
 
 0-03512 
 
 - 481 
 
 + 16 
 
 d 
 300 
 
 o 
 
 0-20732 
 
 + 1130 
 
 + 13 
 
 d 
 350 
 
 o 
 
 1-02600 
 
 + 1923 
 
 + i 
 
 01 
 
 0-60701 
 
 1705 
 
 7 
 
 51 
 
 0-03047 
 
 449 
 
 7 
 
 O1 
 
 0-21875 
 
 1158 
 
 '5 
 
 51 
 
 04523 
 
 1924 
 
 + i 
 
 O2 
 
 0-59003 
 
 1690 
 
 9 
 
 52 
 
 02615 
 
 416 
 
 17 
 
 02 
 
 0-23048 
 
 1186 
 
 13 
 
 52 
 
 "06448 
 
 1925 
 
 o 
 
 03 
 
 0-57322 
 
 1674 
 
 7 
 
 53 
 
 O'O22l6 
 
 382 
 
 17 
 
 03 
 
 0-24247 
 
 1213 
 
 H 
 
 53 
 
 08373 
 
 1925 
 
 o 
 
 04 
 
 o-55 6 55 
 
 1659 
 
 9 
 
 54 
 
 0-01851 
 
 35 
 
 16 
 
 04 
 
 0-25473 
 
 1239 
 
 '3 
 
 54 
 
 10298 
 
 1924 
 
 - I 
 
 05 
 
 0-54005 
 
 1642 
 
 8 
 
 55 
 
 0-01517 
 
 3i8 
 
 17 
 
 05 
 
 0-26725 
 
 1266 
 
 4 
 
 55 
 
 "I222I 
 
 1923 
 
 o 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 206 
 
 0-52371 
 
 -1626 
 
 + 9 
 
 2 56 
 
 O'O12l6 
 
 - 285 
 
 + 16 
 
 306 
 
 0-28004 
 
 + 1291 
 
 + 12 
 
 356 
 
 I4H4 
 
 + 1921 
 
 - 2 
 
 O7 
 
 0-50754 
 
 1608 
 
 9 
 
 57 
 
 0-00947 
 
 251 
 
 18 
 
 O7 
 
 0-29307 
 
 1316 
 
 13 
 
 57 
 
 16063 
 
 1919 
 
 I 
 
 OS 
 
 0-49155 
 
 1591 
 
 9 
 
 58 
 
 0-00714 
 
 217 
 
 16 
 
 08 
 
 0-30635 
 
 '34 
 
 12 
 
 58 
 
 I798I 
 
 1917 
 
 2 
 
 09 
 
 0-47573 
 
 >S73 
 
 10 
 
 59 
 
 0-00513 
 
 185 
 
 i7 
 
 09 
 
 0-31986 
 
 1365 
 
 H 
 
 59 
 
 19896 
 
 1913 
 
 3 
 
 1O 
 
 0-46010 
 
 IS54 
 
 10 
 
 60 
 
 0-00345 
 
 151 
 
 18 
 
 1O 
 
 0-33364 
 
 .'39 
 
 12 
 
 60 
 
 21806 
 
 1908 
 
 3 
 
 211 
 
 0-44466 
 
 -1535 
 
 + 10 
 
 261 
 
 O'002I2 
 
 - 116 
 
 + 17 
 
 311 
 
 0-34766 
 
 + 1414 
 
 + 12 
 
 361 
 
 237II 
 
 + 1902 
 
 - 3 
 
 12 
 
 0-42941 
 
 1515 
 
 II 
 
 62 
 
 O-OOII3 
 
 83 
 
 16 
 
 12 
 
 0-36191 
 
 H36 
 
 I I 
 
 62 
 
 25610 
 
 1897 
 
 2 
 
 13 
 
 o-4'437 
 
 1 494 
 
 11 
 
 63 
 
 0-00046 
 
 5 
 
 '7 
 
 13 
 
 0-37638 
 
 1458 
 
 II 
 
 63 
 
 27505 
 
 1891 
 
 4 
 
 14 
 
 0-39954 
 
 H74 
 
 10 
 
 64 
 
 O-OOOI3 
 
 - 17 
 
 17 
 
 14 
 
 0-39107 
 
 1481 
 
 12 
 
 64 
 
 29392 
 
 1884 
 
 3 
 
 15 
 
 0-38490 
 
 H54 
 
 11 
 
 65 
 
 O-OOOI3 
 
 + 18 
 
 18 
 
 15 
 
 0-40599 
 
 1503 
 
 II 
 
 65 
 
 31273 
 
 1877 
 
 5 
 
 2-16 
 
 0-37047 
 
 -'43' 
 
 + 12 
 
 266 
 
 0-00048 
 
 + 53 
 
 + 18 
 
 3-16 
 
 0-421 12 
 
 + 1524 
 
 + II 
 
 3-66 
 
 33H5 
 
 + 1869 
 
 - 4 
 
 17 
 
 0-35628 
 
 1408 
 
 II 
 
 67 
 
 O'OOIlS 
 
 87 
 
 17 
 
 17 
 
 0-43646 
 
 1545 
 
 II 
 
 67 
 
 35010 
 
 1861 
 
 5 
 
 18 
 
 0-34231 
 
 1386 
 
 II 
 
 68 
 
 O'OO22I 
 
 120 
 
 17 
 
 18 
 
 0-4520! 
 
 1565 
 
 IO 
 
 68 
 
 36866 
 
 1851 
 
 6 
 
 19 
 
 0-32856 
 
 1364 
 
 II 
 
 69 
 
 0-00357 
 
 153 
 
 '7 
 
 19 
 
 0-46776 
 
 1585 
 
 10 
 
 69 
 
 387II 
 
 1841 
 
 4 
 
 20 
 
 0-31503 
 
 1341 
 
 13 
 
 7O 
 
 0-00527 
 
 187 
 
 17 
 
 20 
 
 0-48371 
 
 1605 
 
 IO 
 
 7O 
 
 40548 
 
 1831 
 
 7 
 
 2-21 
 
 0-30175 
 
 - 1316 
 
 + 12 
 
 2-71 
 
 0-00730 
 
 + 221 
 
 + 18 
 
 3-21 
 
 0-49986 
 
 + 1624 
 
 + 9 
 
 371 
 
 I-42372 
 
 + 1819 
 
 - 5 
 
 22 
 
 0-28871 
 
 1292 
 
 12 
 
 72 
 
 0-00968 
 
 2 54 
 
 16 
 
 22 
 
 0-51618 
 
 1641 
 
 9 
 
 72 
 
 i - 44i86 
 
 1809 
 
 6 
 
 23 
 
 0-27591 
 
 1268 
 
 '3 
 
 73 
 
 O-OI237 
 
 287 
 
 18 
 
 23 
 
 0-53268 
 
 1659 
 
 9 
 
 73 
 
 1-45989 
 
 1796 
 
 7 
 
 24 
 
 0-26336 
 
 'H3 
 
 "3 
 
 74 
 
 0-01541 
 
 321 
 
 17 
 
 24 
 
 0-54936 
 
 1677 
 
 9 
 
 74 
 
 1-47778 
 
 1783 
 
 6 
 
 25 
 
 0-25106 
 
 iziy 
 
 13 
 
 75 
 
 0-01878 
 
 355 
 
 18 
 
 25 
 
 0-56622 
 
 1694 
 
 8 
 
 75 
 
 '49555 
 
 1770 
 
 8 
 
 226 
 
 0-23902 
 
 - 1192 
 
 + 13 
 
 276 
 
 O-O225O 
 
 + 388 
 
 + 16 
 
 326 
 
 0-58323 
 
 + 1709 
 
 + 8 
 
 376 
 
 I-5I3I7 
 
 + 1756 
 
 - 7 
 
 27 
 
 0-22723 
 
 1166 
 
 13 
 
 77 
 
 0-02654 
 
 421 
 
 17 
 
 27 
 
 0^60040 
 
 1725 
 
 8 
 
 77 
 
 1-53066 
 
 1742 
 
 7 
 
 28 
 
 0*21570 
 
 '"39 
 
 H 
 
 78 
 
 0-03092 
 
 454 
 
 16 
 
 28 
 
 0-61772 
 
 1740 
 
 8 
 
 78 
 
 1-54801 
 
 1727 
 
 9 
 
 29 
 
 0-20445 
 
 II 12 
 
 13 
 
 79 
 
 0-03562 
 
 487 
 
 17 
 
 29 
 
 0-63520 
 
 1755 
 
 7 
 
 79 
 
 1-56519 
 
 1711 
 
 7 
 
 30 
 
 0-19346 
 
 1085 
 
 '4 
 
 80 
 
 0-04065 
 
 519 
 
 16 
 
 30 
 
 0-65281 
 
 1768 
 
 7 
 
 80 
 
 1-58223 
 
 1695 
 
 9 
 
 231 
 
 0-18275 
 
 -1057 
 
 + 14 
 
 281 
 
 0-04600 
 
 + 552 
 
 + 17 
 
 331 
 
 0-67055 
 
 + 1782 
 
 + 8 
 
 3-81 
 
 1-59909 
 
 + 1678 
 
 - 9 
 
 32 
 
 0-17232 
 
 1O3O 
 
 '3 
 
 82 
 
 0-05169 
 
 586 
 
 17 
 
 32 
 
 0-68844 
 
 1796 
 
 7 
 
 82 
 
 1-61578 
 
 1661 
 
 9 
 
 33 
 
 0-16215 
 
 1003 
 
 H 
 
 83 
 
 0-05772 
 
 618 
 
 15 
 
 33 
 
 0-70646 
 
 1808 
 
 6 
 
 83 
 
 1-63230 
 
 1644 
 
 9 
 
 34 
 
 0-15226 
 
 974 
 
 16 
 
 84 
 
 0-06404 
 
 649 
 
 17 
 
 34 
 
 072459 
 
 1819 
 
 6 
 
 84 
 
 1-64865 
 
 1625 
 
 IO 
 
 35 
 
 0-14268 
 
 944 
 
 H 
 
 85 
 
 0-07069 
 
 68 1 
 
 16 
 
 35 
 
 0-74284 
 
 1829 
 
 4 
 
 85 
 
 1-66480 
 
 1605 
 
 10 
 
 2-36 
 
 0-13338 
 
 - 9'5 
 
 f'i 
 
 286 
 
 0-07765 
 
 + 712 
 
 + 16 
 
 336 
 
 076117 
 
 + 1839 
 
 + 6 
 
 386 
 
 1-68075 
 
 + 1586 
 
 - 9 
 
 37 
 
 0-12438 
 
 885 
 
 15 
 
 87 
 
 0-08492 
 
 744 
 
 '7 
 
 37 
 
 0-77962 
 
 1851 
 
 6 
 
 87 
 
 1-69652 
 
 1568 
 
 10 
 
 38 
 
 0-11568 
 
 856 
 
 15 
 
 88 
 
 0-09253 
 
 776 
 
 15 
 
 38 
 
 0-79818 
 
 1860 
 
 4 
 
 88 
 
 1-71210 
 
 '547 
 
 1 1 
 
 39 
 
 0-10727 
 
 827 
 
 15 
 
 89 
 
 0-10044 
 
 807 
 
 16 
 
 39 
 
 0-8l682 
 
 1868 
 
 4 
 
 89 
 
 172746 
 
 1525 
 
 ii 
 
 40 
 
 0-09915 
 
 796 
 
 16 
 
 9O 
 
 0-10867 
 
 838 
 
 15 
 
 4O 
 
 0-83553 
 
 1876 
 
 5 
 
 9O 
 
 174260 
 
 1505 
 
 IO 
 
 2-41 
 
 0-09135 
 
 - 766 
 
 + 15 
 
 2-91 
 
 0-11719 
 
 + 868 
 
 + 16 
 
 341 
 
 0-85433 
 
 + 1884 
 
 + 4 
 
 391 
 
 1-75755 
 
 + 1483 
 
 - 12 
 
 42 
 
 0-08384 
 
 736 
 
 16 
 
 92 
 
 O-I26O2 
 
 898 
 
 15 
 
 42 
 
 0-87321 
 
 1891 
 
 3 
 
 92 
 
 177226 
 
 1461 
 
 10 
 
 43 
 
 0-07664 
 
 703 
 
 17 
 
 93 
 
 0-I35I5 
 
 929 
 
 16 
 
 43 
 
 0-89214 
 
 1896 
 
 3 
 
 93 
 
 178677 
 
 H39 
 
 13 
 
 44 
 
 0-06978 
 
 672 
 
 '5 
 
 94 
 
 0-14459 
 
 959 
 
 15 
 
 44 
 
 0-91113 
 
 1902 
 
 3 
 
 94 
 
 1-80103 
 
 1414 
 
 12 
 
 45 
 
 0-06321 
 
 642 
 
 16 
 
 95 
 
 0-15432 
 
 988 
 
 15 
 
 45 
 
 0-93018 
 
 1907 
 
 2 
 
 95 
 
 1-81505 
 
 1391 
 
 II 
 
 2-46 
 
 0-05695 
 
 - 610 
 
 + 16 
 
 2-96 
 
 0-16435 
 
 + 1017 
 
 + 14 
 
 3-46 
 
 0-94927 
 
 + 1911 
 
 + 2 
 
 3-96 
 
 1-82885 
 
 + 1369 
 
 - 12 
 
 47 
 
 0-05101 
 
 579 
 
 16 
 
 97 
 
 0-17466 
 
 1046 
 
 15 
 
 47 
 
 0-96840 
 
 1916 
 
 3 
 
 97 
 
 1-84242 
 
 1344 
 
 4 
 
 48 
 
 0-04538 
 
 546 
 
 17 
 
 98 
 
 0-18527 
 
 1075 
 
 4 
 
 48 
 
 0-98758 
 
 1919 
 
 i 
 
 98 
 
 1-85572 
 
 1318 
 
 12 
 
 49 
 
 0-04009 
 
 513 
 
 16 
 
 99 
 
 0-19615 
 
 1 103 
 
 15 
 
 49 
 
 1-00678 
 
 1921 
 
 i 
 
 99 
 
 1-86878 
 
 1293 
 
 13 
 
 250 
 
 0-03512 
 
 - 481 
 
 + 16 
 
 300 
 
 O-20732 
 
 + 1130 
 
 + '3 
 
 350 
 
 1-02600 
 
 + 1923 
 
 + i 
 
 400 
 
 1-88158 
 
 + 1267 
 
 -'4 
 
 Applied Constant : +i"'o75oo. 
 98 
 
SATELLITE II 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XII continued Equation of Longitude Argument A 
 
 I 
 
 z 
 
 3 
 
 4 
 
 i 
 
 2 
 
 3 
 
 4 
 
 i 
 
 z 
 
 3 
 
 4 
 
 i 
 
 z 
 
 3 
 
 4 
 
 A 
 
 Equa- 
 tion 
 
 A 
 
 *A* 
 
 A 
 
 Equa- 
 tion 
 
 A 
 
 *A 
 
 A 
 
 Equa- 
 tion 
 
 A 
 
 |A' 
 
 A 
 
 Equa- 
 tion 
 
 A 
 
 | 
 
 d 
 
 400 
 
 o 
 
 1-88158 
 
 + 1267 
 
 -4 
 
 d 
 4 50 
 
 2-13515 
 
 - 3'3 
 
 -'7 
 
 d 
 5 00 
 
 o 
 
 1-61148 
 
 - 1641 
 
 - 9 
 
 d 
 
 550 
 
 
 
 0-69923 
 
 -1768 
 
 + 7 
 
 O1 
 
 I '8941 1 
 
 1241 
 
 '3 
 
 51 
 
 2-13185 
 
 347 
 
 '7 
 
 O1 
 
 1-59499 
 
 1657 
 
 8 
 
 61 
 
 0-68162 
 
 1756 
 
 6 
 
 02 
 
 I '90639 
 
 1215 
 
 '3 
 
 52 
 
 2-12821 
 
 381 
 
 '7 
 
 02 
 
 I-57834 
 
 '6/3 
 
 8 
 
 52 
 
 0-66412 
 
 '744 
 
 7 
 
 OS 
 
 1-91841 
 
 1189 
 
 '4 
 
 53 
 
 2-12424 
 
 4'4 
 
 '7 
 
 03 
 
 1-56154 
 
 1689 
 
 9 
 
 53 
 
 0-64675 
 
 1730 
 
 7 
 
 04 
 
 i'93Oi6 
 
 1 161 
 
 4 
 
 54 
 
 2-11994 
 
 446 
 
 16 
 
 04 
 
 ''54457 
 
 1704 
 
 7 
 
 54 
 
 0-62952 
 
 1716 
 
 7 
 
 05 
 
 1-94163 
 
 "33 
 
 H 
 
 55 
 
 2-11532 
 
 478 
 
 16 
 
 05 
 
 '5*747 
 
 1717 
 
 7 
 
 55 
 
 0-61243 
 
 1703 
 
 7 
 
 406 
 
 1-95282 
 
 + 1105 
 
 -14 
 
 4-56 
 
 2'I IO39 
 
 - 510 
 
 -'7 
 
 5-06 
 
 1-51023 
 
 -1731 
 
 - 7 
 
 556 
 
 0-59547 
 
 -1688 
 
 + 9 
 
 O7 
 
 1-96373 
 
 1078 
 
 '4 
 
 57 
 
 2'I05I2 
 
 544 
 
 '7 
 
 07 
 
 1-49286 
 
 1745 
 
 8 
 
 57 
 
 0-57868 
 
 1671 
 
 8 
 
 08 
 
 1-97437 
 
 1049 
 
 15 
 
 58 
 
 2-09952 
 
 575 
 
 '5 
 
 08 
 
 '47534 
 
 '757 
 
 5 
 
 58 
 
 0-56205 
 
 1656 
 
 7 
 
 09 
 
 1-98471 
 
 I02O 
 
 '5 
 
 59 
 
 2-09362 
 
 606 
 
 16 
 
 09 
 
 1-45772 
 
 1769 
 
 7 
 
 59 
 
 0-54556 
 
 1640 
 
 8 
 
 1O 
 
 1-99476 
 
 99 
 
 IS 
 
 6O 
 
 2-08740 
 
 639 
 
 17 
 
 1O 
 
 ''43997 
 
 1781 
 
 6 
 
 60 
 
 0-52925 
 
 1622 
 
 IO 
 
 4-11 
 
 2-00451 
 
 + 961 
 
 -14 
 
 461 
 
 2-08084 
 
 - 671 
 
 -'5 
 
 511 
 
 1-42211 
 
 -1791 
 
 - 5 
 
 561 
 
 0-51313 
 
 - 1605 
 
 + 9 
 
 12 
 
 2-01398 
 
 932 
 
 15 
 
 62 
 
 2-07398 
 
 701 
 
 '5 
 
 12 
 
 1-40415 
 
 1802 
 
 6 
 
 62 
 
 0-49716 
 
 1588 
 
 10 
 
 13 
 
 2-02315 
 
 901 
 
 16 
 
 63 
 
 2-06682 
 
 73' 
 
 15 
 
 13 
 
 1-38608 
 
 1811 
 
 4 
 
 63 
 
 0-48138 
 
 1569 
 
 9 
 
 14 
 
 2-03200 
 
 871 
 
 '5 
 
 64 
 
 2-05936 
 
 762 
 
 '4 
 
 14 
 
 1-36793 
 
 1821 
 
 6 
 
 64 
 
 0-46578 
 
 1550 
 
 10 
 
 15 
 
 2-04056 
 
 841 
 
 16 
 
 65 
 
 2-05158 
 
 794 
 
 16 
 
 15 
 
 1-34967 
 
 1830 
 
 4 
 
 65 
 
 0-45038 
 
 1531 
 
 9 
 
 416 
 
 2-04881 
 
 + 810 
 
 -16 
 
 4-66 
 
 2-04349 
 
 - 824 
 
 - '5 
 
 516 
 
 1-33134 
 
 -1838 
 
 - 5 
 
 566 
 
 0-43516 
 
 -1511 
 
 + ii 
 
 17 
 
 2-05675 
 
 778 
 
 16 
 
 67 
 
 2-03511 
 
 852 
 
 '5 
 
 17 
 
 1-31292 
 
 1846 
 
 4 
 
 67 
 
 0-42016 
 
 1490 
 
 ii 
 
 18 
 
 2-06437 
 
 747 
 
 '5 
 
 68 
 
 2-02643 
 
 883 
 
 '5 
 
 18 
 
 1-29442 
 
 1853 
 
 3 
 
 68 
 
 0-40537 
 
 1469 
 
 ii 
 
 19 
 
 2-07169 
 
 716 
 
 16 
 
 69 
 
 2-01745 
 
 912 
 
 '4 
 
 19 
 
 1-27587 
 
 1859 
 
 4 
 
 69 
 
 0-39079 
 
 1448 
 
 IO 
 
 20 
 
 2-07869 
 
 684 
 
 16 
 
 7O 
 
 2-00819 
 
 941 
 
 '5 
 
 20 
 
 1-25725 
 
 1864 
 
 2 
 
 70 
 
 0-37641 
 
 1427 
 
 12 
 
 4-21 
 
 2-08537 
 
 + 652 
 
 -16 
 
 471 
 
 1-99863 
 
 - 970 
 
 -14 
 
 5-21 
 
 1-23859 
 
 - 1869 
 
 - 3 
 
 571 
 
 0-36226 
 
 -1404 
 
 + 12 
 
 22 
 
 2-09173 
 
 620 
 
 17 
 
 72 
 
 1-98879 
 
 999 
 
 15 
 
 22 
 
 1-21987 
 
 1875 
 
 3 
 
 72 
 
 0-34834 
 
 1382 
 
 II 
 
 23 
 
 4-09776 
 
 587 
 
 16 
 
 73 
 
 1-97865 
 
 1028 
 
 "4 
 
 23 
 
 P2OI10 
 
 1879 
 
 2 
 
 73 
 
 0-33463 
 
 '359 
 
 13 
 
 24 
 
 2-10347 
 
 555 
 
 16 
 
 74 
 
 1-96824 
 
 1055 
 
 '4 
 
 24 
 
 I-I8229 
 
 1883 
 
 2 
 
 74 
 
 0-32117 
 
 1336 
 
 II 
 
 25 
 
 2-10886 
 
 5*3 
 
 16 
 
 75 
 
 ''95755 
 
 1083 
 
 H 
 
 25 
 
 1-I6345 
 
 1886 
 
 2 
 
 75 
 
 0-3079* 
 
 1312 
 
 '4 
 
 4-26 
 
 2-II393 
 
 + 49 1 
 
 -'7 
 
 476 
 
 1-94659 
 
 - IIIO 
 
 -14 
 
 6-26 
 
 ri4458 
 
 -1888 
 
 _ 
 
 576 
 
 0-29494 
 
 - 1287 
 
 + 12 
 
 27 
 
 2-11867 
 
 457 
 
 17 
 
 77 
 
 1-93536 
 
 1137 
 
 '4 
 
 27 
 
 ri2570 
 
 1889 
 
 
 77 
 
 0*28219 
 
 1262 
 
 '3 
 
 28 
 
 2^12307 
 
 424 
 
 16 
 
 78 
 
 1-92385 
 
 1164 
 
 13 
 
 28 
 
 1-10681 
 
 1890 
 
 
 78 
 
 0-26970 
 
 i*37 
 
 '3 
 
 29 
 
 2-12715 
 
 391 
 
 18 
 
 79 
 
 1-91209 
 
 1189 
 
 '3 
 
 29 
 
 1-08790 
 
 1892 
 
 - 
 
 79 
 
 0-25746 
 
 121 I 
 
 13 
 
 3O 
 
 2-13088 
 
 357 
 
 '7 
 
 80 
 
 1-90007 
 
 1215 
 
 '3 
 
 30 
 
 1-06898 
 
 1891 
 
 + 
 
 80 
 
 0-24548 
 
 1186 
 
 '3 
 
 4-31 
 
 2-13428 
 
 + 3*4 
 
 -i7 
 
 481 
 
 1-88779 
 
 - 1241 
 
 -13 
 
 531 
 
 1-05008 
 
 - 1890 
 
 O 
 
 581 
 
 0-23375 
 
 - 1 1 60 
 
 + 14 
 
 32 
 
 *-'3735 
 
 291 
 
 17 
 
 82 
 
 1-87526 
 
 1265 
 
 12 
 
 32 
 
 1-031 1 8 
 
 1889 
 
 + 
 
 82 
 
 0-22229 
 
 "33 
 
 '3 
 
 33 
 
 2-14009 
 
 258 
 
 17 
 
 83 
 
 1-86249 
 
 1291 
 
 4 
 
 33 
 
 1-01230 
 
 1888 
 
 
 83 
 
 0-21109 
 
 1 1 06 
 
 15 
 
 34 
 
 2-14250 
 
 224 
 
 '7 
 
 84 
 
 1-84945 
 
 1315 
 
 II 
 
 34 
 
 o'99343 
 
 1885 
 
 2 
 
 84 
 
 0-20018 
 
 1078 
 
 '4 
 
 35 
 
 *''4457 
 
 190 
 
 17 
 
 85 
 
 i -83620 
 
 '337 
 
 12 
 
 35 
 
 0-97460 
 
 1882 
 
 2 
 
 85 
 
 0-18954 
 
 1050 
 
 >4 
 
 436 
 
 2-14630 
 
 + 156 
 
 -18 
 
 486 
 
 1-82271 
 
 - 1361 
 
 - 12 
 
 536 
 
 0-95580 
 
 -1878 
 
 + 2 
 
 5-86 
 
 0-17918 
 
 - 1023 
 
 + H 
 
 37 
 
 2-14768 
 
 121 
 
 17 
 
 87 
 
 1-80898 
 
 '385 
 
 12 
 
 37 
 
 0-93704 
 
 1874 
 
 2 
 
 87 
 
 0-16909 
 
 994 
 
 16 
 
 38 
 
 2-14872 
 
 88 
 
 16 
 
 88 
 
 1-79502 
 
 1407 
 
 II 
 
 38 
 
 0-91832 
 
 1870 
 
 2 
 
 88 
 
 0-15931 
 
 964 
 
 '4 
 
 39 
 
 2-14945 
 
 56 
 
 18 
 
 89 
 
 178084 
 
 1429 
 
 II 
 
 39 
 
 0-89964 
 
 1865 
 
 4 
 
 89 
 
 0-14981 
 
 937 
 
 H 
 
 40 
 
 2-14983 
 
 + 21 
 
 17 
 
 90 
 
 1-76645 
 
 1450 
 
 II 
 
 40 
 
 0-88103 
 
 1858 
 
 3 
 
 90 
 
 0-14058 
 
 908 
 
 10 
 
 441 
 
 2-14987 
 
 ~ 13 
 
 -17 
 
 4-91 
 
 1-75184 
 
 -1472 
 
 - II 
 
 541 
 
 0-86248 
 
 - 1852 
 
 + 4 
 
 5-91 
 
 0-13166 
 
 -877 
 
 + 16 
 
 42 
 
 2-14958 
 
 4 6 
 
 17 
 
 92 
 
 1-73701 
 
 J493 
 
 10 
 
 42 
 
 0-84400 
 
 1845 
 
 3 
 
 92 
 
 0-12304 
 
 848 
 
 '5 
 
 43 
 
 2-14895 
 
 80 
 
 16 
 
 93 
 
 172198 
 
 1513 
 
 IO 
 
 43 
 
 0-82558 
 
 1838 
 
 5 
 
 93 
 
 0-11471 
 
 818 
 
 16 
 
 44 
 
 2-14799 
 
 114 
 
 18 
 
 94 
 
 170676 
 
 'S3 2 
 
 IO 
 
 44 
 
 0-80724 
 
 1829 
 
 5 
 
 94 
 
 0-10669 
 
 787 
 
 '5 
 
 45 
 
 2-14668 
 
 148 
 
 17 
 
 95 
 
 1-69134 
 
 '55 2 
 
 10 
 
 45 
 
 0-78900 
 
 1820 
 
 4 
 
 95 
 
 0-09897 
 
 756 
 
 16 
 
 4'46 
 
 2-14504 
 
 - 181 
 
 -17 
 
 4 96 
 
 1*67572 
 
 -1571 
 
 - 9 
 
 546 
 
 077084 
 
 -1811 
 
 + 5 
 
 5-96 
 
 0-09157 
 
 - 7*5 
 
 + 16 
 
 47 
 48 
 
 2M43o6 
 2-14076 
 
 214 
 
 248 
 
 16 
 
 18 
 
 97 
 98 
 
 I -65993 
 1-64396 
 
 1588 
 1607 
 
 9 
 
 10 
 
 47 
 48 
 
 075279 
 0734 8 3 
 
 1801 
 1791 
 
 5 
 5 
 
 97 
 98 
 
 0-08448 
 0-07769 
 
 694 
 
 664 
 
 '5 
 16 
 
 49 
 
 2-13811 
 
 281 
 
 16 
 
 99 
 
 1-62780 
 
 1624 
 
 8 
 
 49 
 
 071697 
 
 1780 
 
 6 
 
 99 
 
 0-07121 
 
 632 
 
 '7 
 
 
 
 450 
 
 2-13515 
 
 - 313 
 
 -'7 
 
 5-OO 
 
 i -6 1 148 
 
 - 1641 
 
 - 9 
 
 550 
 
 0-69923 
 
 -1768 
 
 + 7 
 
 600 
 
 0-06506 
 
 - 599 
 
 + 16 
 
 Applied Constant : +i' 07500. 
 99 
 
SATELLITE II 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XII continued Equation of Longitude Argument A 
 
 I 
 
 2 
 
 3 
 
 4 
 
 i 
 
 2 
 
 3 
 
 4 
 
 I 
 
 2 
 
 3 
 
 4 
 
 1 
 
 2 
 
 3 
 
 4 
 
 A 
 
 Equa- 
 
 A 
 
 A A 2 
 
 A 
 
 Equa- 
 
 A 
 
 iA 2 
 
 A 
 
 Equa- 
 
 A 
 
 i. A 2 
 
 A 
 
 Equa- 
 
 A 
 
 iA2 
 
 
 tion 
 
 
 2 
 
 
 tion 
 
 
 
 
 
 tion 
 
 
 
 
 
 tion 
 
 
 I 
 
 d 
 600 
 
 o 
 
 0-06506 
 
 - 599 
 
 + 16 
 
 d 
 650 
 
 o 
 
 0-18060 
 
 + 1040 
 
 + 14 
 
 d 
 
 700 
 
 
 
 0-97665 
 
 + 1926 
 
 + 2 
 
 d 
 
 7-5O 
 
 
 
 1-84895 
 
 + '3'9 
 
 - 12 
 
 O1 
 
 0-05923 
 
 568 
 
 16 
 
 51 
 
 0-19114 
 
 1068 
 
 14 
 
 01 
 
 Q'99593 
 
 1929 
 
 I 
 
 51 
 
 1-86202 
 
 1294 
 
 '4 
 
 02 
 
 0-05371 
 
 536 
 
 17 
 
 52 
 
 0-20195 
 
 1097 
 
 16 
 
 02 
 
 01522 
 
 '93' 
 
 2 
 
 52 
 
 1-87482 
 
 1267 
 
 '3 
 
 03 
 
 0-04852 
 
 53 
 
 17 
 
 53 
 
 0-21307 
 
 1127 
 
 '5 
 
 03 
 
 03454 
 
 '933 
 
 
 53 
 
 1-88736 
 
 1242 
 
 '3 
 
 04 
 
 0-04366 
 
 470 
 
 '7 
 
 54 
 
 0-22448 
 
 '155 
 
 >4 
 
 04 
 
 05387 
 
 1934 
 
 + 
 
 54 
 
 1-89965 
 
 1215 
 
 '5 
 
 05 
 
 0-03913 
 
 437 
 
 16 
 
 55 
 
 0-23616 
 
 1182 
 
 '4 
 
 05 
 
 07321 
 
 '934 
 
 - 
 
 55 
 
 1-91 165 
 
 1187 
 
 '4 
 
 606 
 
 0-03492 
 
 - 44 
 
 + 17 
 
 656 
 
 0-2481 1 
 
 + 1208 
 
 + 13 
 
 7O6 
 
 09254 
 
 + 1934 
 
 + 
 
 7-56 
 
 '92338 
 
 + 11 60 
 
 -'4 
 
 07 
 
 0-03105 
 
 37' 
 
 17 
 
 57 
 
 0-26032 
 
 1236 
 
 '5 
 
 07 
 
 11188 
 
 '933 
 
 - 
 
 57 
 
 1-93484 
 
 1132 
 
 '5 
 
 08 
 
 0-02751 
 
 338 
 
 16 
 
 58 
 
 0^27282 
 
 1264 
 
 '4 
 
 OS 
 
 13120 
 
 '93' 
 
 
 58 
 
 1-94601 
 
 1 103 
 
 '5 
 
 09 
 
 0-02429 
 
 35 
 
 17 
 
 59 
 
 0-28559 
 
 1290 
 
 '3 
 
 09 
 
 15050 
 
 1929 
 
 
 59 
 
 1-95689 
 
 1074 
 
 '5 
 
 1O 
 
 0-02141 
 
 272 
 
 >7 
 
 60 
 
 0^29861 
 
 '3'5 
 
 '3 
 
 10 
 
 16978 
 
 1926 
 
 2 
 
 6O 
 
 1-96748 
 
 1044 
 
 '5 
 
 6*11 
 
 0-01886 
 
 - *38 
 
 + 17 
 
 6-61 
 
 0-31188 
 
 + 1340 
 
 + 13 
 
 7-11 
 
 18902 
 
 + 1922 
 
 - 2 
 
 761 
 
 1-97777 
 
 + 1015 
 
 -14 
 
 12 
 
 0-01665 
 
 204 
 
 '7 
 
 62 
 
 0-32541 
 
 1365 
 
 12 
 
 12 
 
 20822 
 
 1919 
 
 2 
 
 62 
 
 1-98778 
 
 986 
 
 '5 
 
 13 
 
 0-01478 
 
 171 
 
 16 
 
 63 
 
 0-33918 
 
 1390 
 
 '3 
 
 13 
 
 22739 
 
 1914 
 
 4 
 
 63 
 
 1-99749 
 
 956 
 
 '5 
 
 14 
 
 0-01323 
 
 138 
 
 '7 
 
 64 
 
 0-35320 
 
 1414 
 
 12 
 
 14 
 
 24649 
 
 1908 
 
 3 
 
 64 
 
 2-00690 
 
 927 
 
 '5 
 
 15 
 
 O-OI2O2 
 
 104 
 
 18 
 
 65 
 
 0-36745 
 
 '437 
 
 12 
 
 15 
 
 26554 
 
 1902 
 
 4 
 
 65 
 
 2'Ol6O2 
 
 895 
 
 '7 
 
 6-16 
 
 0-01116 
 
 - 69 
 
 + 18 
 
 666 
 
 0-38194 
 
 + 1461 
 
 + 12 
 
 7 16 
 
 28452 
 
 -1-1895 
 
 - 3 
 
 766 
 
 2-02480 
 
 + 864 
 
 -'5 
 
 17 
 
 0-01065 
 
 35 
 
 17 
 
 67 
 
 0-39666 
 
 1484 
 
 12 
 
 17 
 
 30344 
 
 1888 
 
 4 
 
 67 
 
 2-03329 
 
 833 
 
 16 
 
 18 
 
 0-01047 
 
 - 2 
 
 17 
 
 68 
 
 0-41161 
 
 1506 
 
 II 
 
 18 
 
 32228 
 
 1880 
 
 4 
 
 68 
 
 2*04146 
 
 802 
 
 16 
 
 19 
 
 0-01062 
 
 + 33 
 
 ll 
 
 69 
 
 0*42678 
 
 1527 
 
 IO 
 
 19 
 
 - 34'4 
 
 1872 
 
 5 
 
 69 
 
 2-04932 
 
 77' 
 
 16 
 
 20 
 
 0-01113 
 
 68 
 
 17 
 
 7O 
 
 0-44215 
 
 1548 
 
 II 
 
 20 
 
 3597' 
 
 1862 
 
 5 
 
 70 
 
 2-05687 
 
 739 
 
 16 
 
 621 
 
 o-oi 197 
 
 + IOI 
 
 + 17 
 
 671 
 
 0-45774 
 
 + 1570 
 
 + II 
 
 721 
 
 37828 
 
 + 1852 
 
 - 5 
 
 7 71 
 
 2-06410 
 
 + 707 
 
 -'7 
 
 22 
 
 0-01315 
 
 134 
 
 16 
 
 72 
 
 '47354 
 
 1591 
 
 II 
 
 22 
 
 39675 
 
 1841 
 
 6 
 
 72 
 
 2-O7IOO 
 
 674 
 
 16 
 
 23 
 
 0-01465 
 
 1 68 
 
 18 
 
 73 
 
 0-48955 
 
 1610 
 
 9 
 
 23 
 
 41510 
 
 1830 
 
 6 
 
 73 
 
 2-07758 
 
 642 
 
 16 
 
 24 
 
 0-01650 
 
 203 
 
 18 
 
 74 
 
 0-50574 
 
 1628 
 
 9 
 
 24 
 
 '43334 
 
 1819 
 
 6 
 
 74 
 
 2-08384 
 
 610 
 
 16 
 
 25 
 
 0-01870 
 
 237 
 
 '7 
 
 75 
 
 0-52211 
 
 1648 
 
 ii 
 
 25 
 
 45H7 
 
 1807 
 
 7 
 
 75 
 
 2-08978 
 
 578 
 
 '7 
 
 6-26 
 
 0-02124 
 
 + 272 
 
 + 18 
 
 676 
 
 0-53869 
 
 + 1666 
 
 + 8 
 
 726 
 
 46947 
 
 + '794 
 
 - 6 
 
 776 
 
 2-09539 
 
 + 545 
 
 -'7 
 
 27 
 
 0-02413 
 
 305 
 
 16 
 
 77 
 
 0-55543 
 
 1683 
 
 9 
 
 27 
 
 48735 
 
 1781 
 
 8 
 
 77 
 
 2-ICO67 
 
 5" 
 
 '7 
 
 28 
 
 0-02734 
 
 337 
 
 16 
 
 78 
 
 0-57235 
 
 1700 
 
 8 
 
 28 
 
 50508 
 
 1766 
 
 8 
 
 78 
 
 2-10561 
 
 477 
 
 '7 
 
 29 
 
 0-03087 
 
 371 
 
 ll 
 
 79 
 
 0-58943 
 
 '7'7 
 
 9 
 
 29 
 
 52266 
 
 1751 
 
 7 
 
 79 
 
 2-IIO2I 
 
 444 
 
 '7 
 
 so 
 
 0-03475 
 
 406 
 
 17 
 
 80 
 
 0*60669 
 
 1734 
 
 8 
 
 3O 
 
 54010 
 
 1736 
 
 8 
 
 80 
 
 2-II448 
 
 412 
 
 16 
 
 631 
 
 0*03897 
 
 + 439 
 
 + 17 
 
 6'81 
 
 0-62410 
 
 + 1749 
 
 + 8 
 
 731 
 
 55738 
 
 + 1710 
 
 - 9 
 
 781 
 
 2-11844 
 
 + 378 
 
 -18 
 
 32 
 
 0-04352 
 
 47i 
 
 16 
 
 82 
 
 0-64166 
 
 1764 
 
 8 
 
 32 
 
 '57449 
 
 1703 
 
 8 
 
 82 
 
 2-I22O4 
 
 344 
 
 '7 
 
 33 
 
 0-04839 
 
 504 
 
 17 
 
 83 
 
 0-65937 
 
 1778 
 
 7 
 
 33 
 
 "59H4 
 
 1687 
 
 9 
 
 83 
 
 2-I2531 
 
 3" 
 
 16 
 
 34 
 
 0-05360 
 
 538 
 
 17 
 
 84 
 
 0-67721 
 
 1791 
 
 7 
 
 34 
 
 60822 
 
 1669 
 
 9 
 
 84 
 
 2-I2826 
 
 277 
 
 tl 
 
 35 
 
 0-05915 
 
 572 
 
 '7 
 
 85 
 
 0-69518 
 
 1803 
 
 6 
 
 35 
 
 62482 
 
 1651 
 
 9 
 
 85 
 
 2-13085 
 
 243 
 
 16 
 
 636 
 
 0-06503 
 
 + 604 
 
 + 16 
 
 686 
 
 0-71327 
 
 + 1816 
 
 + 7 
 
 7-36 
 
 64124 
 
 + 1633 
 
 - 9 
 
 786 
 
 2-I33I2 
 
 + 208 
 
 -18 
 
 37 
 
 0-07122 
 
 637 
 
 18 
 
 87 
 
 073150 
 
 1829 
 
 6 
 
 37 
 
 65748 
 
 1614 
 
 1 1 
 
 87 
 
 2-13503 
 
 '74 
 
 '7 
 
 38 
 
 0-07776 
 
 670 
 
 16 
 
 88 
 
 074984 
 
 1840 
 
 6 
 
 38 
 
 67351 
 
 '593 
 
 1 1 
 
 88 
 
 2-13660 
 
 >4> 
 
 16 
 
 39 
 
 0-08461 
 
 700 
 
 i5 
 
 89 
 
 076829 
 
 1850 
 
 5 
 
 39 
 
 68933 
 
 '573 
 
 10 
 
 89 
 
 2-I3785 
 
 107 
 
 18 
 
 40 
 
 0-09176 
 
 73* 
 
 17 
 
 90 
 
 078684 
 
 1860 
 
 5 
 
 40 
 
 70496 
 
 '553 
 
 ii 
 
 90 
 
 2-13874 
 
 73 
 
 16 
 
 641 
 
 0-09925 
 
 + 765 
 
 + 16 
 
 6-91 
 
 0-80549 
 
 + 1870 
 
 + 5 
 
 7'41 
 
 72038 
 
 + '53' 
 
 - 1 1 
 
 791 
 
 2-13931 
 
 + 40 
 
 -'7 
 
 42 
 
 0-10706 
 
 797 
 
 16 
 
 92 
 
 0^82424 
 
 1878 
 
 3 
 
 42 
 
 73559 
 
 1510 
 
 ii 
 
 92 
 
 *-'3954 
 
 + 6 
 
 18 
 
 43 
 
 o'i 1 519 
 
 828 
 
 '5 
 
 93 
 
 0-84305 
 
 1886 
 
 s 
 
 43 
 
 75058 
 
 1489 
 
 1 1 
 
 93 
 
 2-13942 
 
 - 29 
 
 '7 
 
 44 
 
 0-12361 
 
 858 
 
 16 
 
 94 
 
 0-86196 
 
 1894 
 
 3 
 
 44 
 
 76536 
 
 1465 
 
 '3 
 
 94 
 
 2-13896 
 
 64 
 
 18 
 
 45 
 
 0-13*35 
 
 889 
 
 5 
 
 95 
 
 0-88093 
 
 1901 
 
 4 
 
 45 
 
 77988 
 
 '44' 
 
 ii 
 
 95 
 
 2-13815 
 
 98 
 
 '7 
 
 6-46 
 
 0-14139 
 
 + 919 
 
 + '5 
 
 696 
 
 0-89998 
 
 + 1907 
 
 + 2 
 
 7-46 
 
 79418 
 
 + H9 
 
 - 12 
 
 796 
 
 2-I370I 
 
 - 130 
 
 -16 
 
 47 
 
 0-15073 
 
 950 
 
 16 
 
 97 
 
 0-91907 
 
 1912 
 
 3 
 
 47 
 
 80825 
 
 '395 
 
 12 
 
 97 
 
 2*13555 
 
 164 
 
 18 
 
 48 
 
 0-16039 
 
 981 
 
 '5 
 
 98 
 
 0-93822 
 
 1917 
 
 2 
 
 48 
 
 82208 
 
 1370 
 
 '4 
 
 98 
 
 2-13374 
 
 198 
 
 '7 
 
 49 
 
 0-17034 
 
 IOI I 
 
 16 
 
 99 
 
 0-95741 
 
 1922 
 
 3 
 
 49 
 
 83564 
 
 '344 
 
 '3 
 
 99 
 
 2-13159 
 
 232 
 
 17 
 
 650 
 
 0-18060 
 
 + 1040 
 
 + 14 
 
 700 
 
 0-97665 
 
 + 19*6 
 
 + 2 
 
 75O 
 
 84895 
 
 + 1319 
 
 - 12 
 
 800 
 
 2-I29IO 
 
 - 266 
 
 - 17 
 
 Applied Constant : +i-o75<x>. 
 100 
 
SATELLITE II 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 Equations of Longitude 
 XIII XIV XV 
 
 I 
 
 2 
 
 3 
 
 B 
 
 Equation 
 
 A 
 
 d 
 
 00 
 
 O'OOIOO 
 
 + 6 
 
 1 
 
 106 
 
 5 
 
 2 
 
 I 10 
 
 3 
 
 3 
 
 I 12 
 
 + i 
 
 4 
 
 II I 
 
 - 2 
 
 5 
 
 107 
 
 6 
 
 06 
 
 O'OOIOO 
 
 - 9 
 
 7 
 
 89 
 
 12 
 
 8 
 
 76 
 
 '4 
 
 9 
 
 62 
 
 4 
 
 10 
 
 47 
 
 15 
 
 11 
 
 0^00034 
 
 '3 
 
 2 
 
 22 
 
 10 
 
 3 
 
 12 
 
 8 
 
 4 
 
 6 
 
 4 
 
 5 
 
 5 
 
 + i 
 
 1-6 
 
 0-00007 
 
 + 4 
 
 7 
 
 '3 
 
 8 
 
 8 
 
 23 
 
 II 
 
 9 
 
 36 
 
 15 
 
 20 
 
 S 2 
 
 '7 
 
 2-1 
 
 0-00070 
 
 + 19 
 
 2 
 
 89 
 
 '9 
 
 3 
 
 109 
 
 21 
 
 4 
 
 128 
 
 18 
 
 5 
 
 146 
 
 '7 
 
 26 
 
 0-00162 
 
 + '5 
 
 7 
 
 176 
 
 12 
 
 8 
 
 186 
 
 9 
 
 9 
 
 192 
 
 4 
 
 30 
 
 '95 
 
 + 2 
 
 3-1 
 
 0-00194 
 
 _ 4 
 
 2 
 
 189 
 
 7 
 
 3 
 
 1 80 
 
 n 
 
 4 
 
 168 
 
 '3 
 
 5 
 
 154 
 
 H 
 
 36 
 
 0-00140 
 
 - is 
 
 7 
 
 125 
 
 13 
 
 8 
 
 112 
 
 12 
 
 9 
 
 IO2 
 
 IO 
 
 40 
 
 94 
 
 6 
 
 4-1 
 
 0-00089 
 
 3 
 
 2 
 
 89 
 
 + i 
 
 3 
 
 9 
 
 3 
 
 4 
 
 94 
 
 5 
 
 5 
 
 99 
 
 5 
 
 4-6 
 
 0-00105 
 
 + 5 
 
 7 
 
 109 
 
 4 
 
 8 
 
 I 12 
 
 + i 
 
 9 
 
 III 
 
 2 
 
 50 
 
 o'ooioS 
 
 4 
 
 i 
 
 2 
 
 3 
 
 c 
 
 Equation 
 
 A 
 
 o d -oi 
 
 d 
 
 000 
 
 o 
 O'OOIOO 
 
 + i,S 
 
 08 
 
 113 
 
 1,6 
 
 16 
 
 126 
 
 1,6 
 
 24 
 
 138 
 
 ,5 
 
 32 
 
 149 
 
 ',4 
 
 40 
 
 1 60 
 
 ',' 
 
 048 
 
 0-00169 
 
 + 1,1 
 
 56 
 
 177 
 
 o>9 
 
 64 
 
 183 
 
 0,8 
 
 72 
 
 188 
 
 ,5 
 
 80 
 
 191 
 
 + 0,3 
 
 0-88 
 
 0-00192 
 
 0,0 
 
 96 
 
 191 
 
 - 0,3 
 
 1-04 
 
 189 
 
 ,4 
 
 12 
 
 184 
 
 0,6 
 
 2O 
 
 178 
 
 ,9 
 
 1-28 
 
 0-00171 
 
 - 1,0 
 
 36 
 
 162 
 
 i,3 
 
 44 
 
 152 
 
 i.4 
 
 52 
 
 141 
 
 i,4 
 
 60 
 
 129 
 
 1,6 
 
 1 68 
 
 o'oo u 6 
 
 - 1,6 
 
 76 
 
 103 
 
 i,5 
 
 84 
 
 90 
 
 1,6 
 
 92 
 
 77 
 
 1,6 
 
 2-OO 
 
 65 
 
 i,5 
 
 2 '08 
 
 0-00053 
 
 ',4 
 
 16 
 
 43 
 
 i,3 
 
 24 
 
 33 
 
 1,1 
 
 32 
 
 25 
 
 1,0 
 
 4O 
 
 18 
 
 0,8 
 
 248 
 
 0-00013 
 
 - 0,5 
 
 56 { 10 
 
 o,4 
 
 64 
 
 8 
 
 - 0,1 
 
 72 
 
 8 
 
 + 0,1 
 
 80 
 
 IO 
 
 0,4 
 
 2'88 
 
 0-00014 
 
 + 0,6 
 
 96 
 
 20 
 
 0,8 
 
 304 
 
 27 
 
 1,0 
 
 12 
 
 36 
 
 i,3 
 
 20 
 
 46 
 
 i,3 
 
 328 
 
 0-00057 
 
 + ',5 
 
 36 
 
 69 
 
 ',5 
 
 44 
 
 81 
 
 i,5 
 
 52 
 
 94 
 
 1,6 
 
 60 
 
 107 
 
 1,6 
 
 3-68 
 
 o-ooiio 
 
 + 1,6 
 
 76 
 
 13* 
 
 i,5 
 
 84 
 
 144 
 
 i,5 
 
 92 
 
 '55 
 
 i,3 
 
 40O 
 
 0-00165 
 
 + i,3 
 
 I 2 
 
 3 
 
 I 
 
 2 
 
 3 
 
 D 
 
 Equation 
 
 A 
 O d 'OI 
 
 D 
 
 Equation 
 
 A 
 Od'OI 
 
 d 
 
 ooo 
 
 
 
 O'OIOOO 
 
 + 17,0 
 
 d 
 
 200 
 
 o 
 
 0-00636 
 
 1 
 
 -'5,5 
 
 O4 
 
 1067 
 
 '6,5 
 
 04 
 
 576 
 
 14,8 
 
 O8 
 
 1133 
 
 1 6,5 
 
 08 
 
 5'7 
 
 '4-3 
 
 12 
 
 1199 
 
 16,5 
 
 12 
 
 460 
 
 14,0 
 
 16 
 
 1264 
 
 1 6,0 
 
 16 
 
 407 
 
 '3,o 
 
 20 
 
 1327 
 
 '5,5 
 
 20 
 
 357 
 
 '2,3 
 
 O24 
 
 0-01389 
 
 + 15,5 
 
 2-24 
 
 0-00309 
 
 -',3 
 
 28 
 
 1449 
 
 i4,5 
 
 28 
 
 265 
 
 io,5 
 
 32 
 
 1507 
 
 H,3 
 
 32 
 
 225 
 
 9,5 
 
 36 
 
 1562 
 
 i3,3 
 
 36 
 
 189 
 
 8,8 
 
 40 
 
 1614 
 
 12,8 
 
 4O 
 
 '57 
 
 7,5 
 
 044 
 
 0-01663 
 
 + 12,0 
 
 244 
 
 0-00129 
 
 - 6,5 
 
 48 
 
 1709 
 
 11,0 
 
 48 
 
 '05 
 
 5,3 
 
 52 
 
 1751 
 
 IO,O 
 
 52 
 
 86 
 
 4,3 
 
 56 
 
 1790 
 
 9,3 
 
 56 
 
 7> 
 
 3,o 
 
 6O 
 
 1825 
 
 8,3 
 
 60 
 
 61 
 
 2,0 
 
 64 
 
 0-01855 
 
 + 7,0 
 
 264 
 
 0-00056 
 
 - 0,8 
 
 68 
 
 1882 
 
 6,0 
 
 68 
 
 55 
 
 + 0,5 
 
 72 
 
 1903 
 
 5,o 
 
 72 
 
 60 
 
 ',5 
 
 76 
 
 1921 
 
 3,8 
 
 76 
 
 68 
 
 3,o 
 
 so 
 
 1933 
 
 2,5 
 
 SO 
 
 82 
 
 3,5 
 
 084 
 
 0-01942 
 
 + i,5 
 
 284 
 
 O'OOIOO 
 
 + 5,3 
 
 88 
 
 '945 
 
 + 0,3 
 
 88 
 
 123 
 
 6,3 
 
 92 
 
 '943 
 
 - 1,0 
 
 92 
 
 150 
 
 7,3 
 
 96 
 
 '937 
 
 2,0 
 
 96 
 
 181 
 
 8,3 
 
 1 OO 
 
 1927 
 
 3,5 
 
 3-OO 
 
 217 
 
 9,5 
 
 1 04 
 
 0-0191 1 
 
 - 4,3 
 
 3O4 
 
 0^00256 
 
 + 10,3 
 
 OS 
 
 1891 
 
 5,5 
 
 O8 
 
 299 
 
 ",3 
 
 12 
 
 1867 
 
 6,8 
 
 12 
 
 345 
 
 12,0 
 
 16 
 
 1838 
 
 7,8 
 
 16 
 
 395 
 
 12,8 
 
 20 
 
 1805 
 
 8,8 
 
 2O 
 
 448 
 
 '3,5 
 
 1 24 
 
 0-01768 
 
 - 9,8 
 
 3-24 
 
 0-00503 
 
 + H>3 
 
 28 
 
 1727 
 
 10,8 
 
 28 
 
 562 
 
 15,0 
 
 32 
 
 1683 
 
 u,5 
 
 32 
 
 622 
 
 '5,3 
 
 36 
 
 '635 
 
 '2,3 
 
 36 
 
 684 
 
 '5,8 
 
 40 
 
 '583 
 
 '3,3 
 
 40 
 
 748 
 
 16,0 
 
 1-44 
 
 0-01530 
 
 -'3,8 
 
 3-44 
 
 0-00813 
 
 + '6,5 
 
 48 
 
 H73 
 
 '4,5 
 
 48 
 
 879 
 
 '6,5 
 
 52 
 
 1414 
 
 15,0 
 
 52 
 
 945 
 
 1 6,8 
 
 56 
 
 '353 
 
 '5,5 
 
 56 
 
 IOI2 
 
 '6,5 
 
 60 
 
 1290 
 
 1 6,0 
 
 6O 
 
 1079 
 
 1 6,8 
 
 1 64 
 
 0-01226 
 
 -16,3 
 
 3-64 
 
 O-OII45 
 
 + 16,5 
 
 68 
 
 1 1 60 
 
 16,5 
 
 68 12 1 1 
 
 16,3 
 
 72 
 
 1094 
 
 16,8 
 
 72 1275 
 
 1 6,0 
 
 76 
 
 1027 
 
 1 6,8 
 
 76 
 
 1338 
 
 "5,5 
 
 80 
 
 960 
 
 1 6,8 
 
 80 
 
 I40O 
 
 '5,3 
 
 1-84 
 
 0^00894 
 
 -'6,5 
 
 384 
 
 O'OI459 
 
 + H,5 
 
 88 
 
 828 
 
 '6,5 
 
 88 
 
 1517 
 
 14,0 
 
 92 
 
 763 
 
 1 6,0 
 
 92 
 
 I 57 I 
 
 '3,5 
 
 96 
 
 699 
 
 1 6,0 
 
 96 
 
 1623 
 
 I2 ,5 
 
 2 OO 
 
 0*00636 
 
 -'5,5 
 
 400 
 
 O-OI672 
 
 + 11,5 
 
 Applied Constant : +o"'ooioo. 
 
 Applied Constant : +o-ooioo. 
 
 Applied Constant : +o'o,ooo. 
 
SATELLITE II 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XVI Equations of Longitude XVII 
 
 I 
 
 z 
 
 3 
 
 4 
 
 I 
 
 z 
 
 3 
 
 4 
 
 E 
 
 Equa- 
 tion 
 
 A 
 O d 'OI 
 
 JA 
 
 E 
 
 Equa- 
 tion 
 
 A 
 O d 'OI 
 
 *A 
 
 d 
 
 
 
 
 
 d 
 
 i 
 
 
 
 000 
 
 o'o36oo 
 
 + 62,4 
 
 -0,0 
 
 200 
 
 0-02236 
 
 -57,5 
 
 + 0,2 
 
 04 
 
 3849 
 
 62,2 
 
 0,0 
 
 04 
 
 2OI I 
 
 55,7 
 
 o,3 
 
 O8 
 
 4098 
 
 61,8 
 
 o,' 
 
 O8 
 
 1792 
 
 53,5 
 
 o,3 
 
 12 
 
 4343 
 
 61,0 
 
 0,1 
 
 12 
 
 1583 
 
 SM 
 
 o,3 
 
 16 
 
 4585 
 
 59.9 
 
 0,2 
 
 16 
 
 1384 
 
 48,5 
 
 0,4 
 
 2O 
 
 4822 
 
 58,5 
 
 0,2 
 
 20 
 
 II 95 
 
 45,6 
 
 o,4 
 
 O-24 
 
 0-05053 
 
 + 56,9 
 
 -0,2 
 
 224 
 
 o'oioig 
 
 -42,5 
 
 + 0,4 
 
 28 
 
 5277 
 
 54,9 
 
 ,3 
 
 28 
 
 856 
 
 39, 2 
 
 o,4 
 
 32 
 
 5492 
 
 52,7 
 
 0,3 
 
 32 
 
 706 
 
 35,7 
 
 o,5 
 
 36 
 
 5698 
 
 50,2 
 
 o,3 
 
 36 
 
 571 
 
 3i,9 
 
 ,5 
 
 4O 
 
 5893 
 
 47,4 
 
 0,4 
 
 4O 
 
 451 
 
 28,1 
 
 o,5 
 
 044 
 
 0-06077 
 
 + 44,3 
 
 -0,4 
 
 2-44 
 
 0-00347 
 
 -24,0 
 
 + o,5 
 
 48 
 
 6248 
 
 41,2 
 
 o,4 
 
 48 
 
 259 
 
 '9,9 
 
 o,5 
 
 52 
 
 6406 
 
 37,8 
 
 0,4 
 
 52 
 
 188 
 
 '5,7 
 
 o,5 
 
 56 
 
 6550 
 
 34, z 
 
 o,5 
 
 56 
 
 133 
 
 n,4 
 
 0,6 
 
 6O 
 
 6679 
 
 3,4 
 
 >5 
 
 60 
 
 97 
 
 7,o 
 
 0,6 
 
 064 
 
 0-06793 
 
 + 26,7 
 
 -,5 
 
 264 
 
 0-00078 
 
 - 2,6 
 
 + 0,6 
 
 68 
 
 6890 
 
 22,4 
 
 ,5 
 
 68 
 
 76 
 
 + 1,8 
 
 0,6 
 
 72 
 
 6971 
 
 1 8,8 
 
 o,5 
 
 72 
 
 9 1 
 
 6,2 
 
 0,6 
 
 76 
 
 7036 
 
 14,0 
 
 o,5 
 
 76 
 
 125 
 
 10,6 
 
 0,6 
 
 80 
 
 7083 
 
 9>7 
 
 0,6 
 
 80 
 
 176 
 
 H,9 
 
 o,5 
 
 084 
 
 0*07113 
 
 + 5,3 
 
 -0,6 
 
 284 
 
 0-00244 
 
 + 19,2 
 
 + o,5 
 
 88 
 
 7125 
 
 + 0,9 
 
 0,6 
 
 88 
 
 329 
 
 23,3 
 
 o,5 
 
 92 
 
 7120 
 
 - 3,6 
 
 0,6 
 
 92 
 
 430 
 
 27,4 
 
 ,5 
 
 96 
 
 7097 
 
 7,9 
 
 o,5 
 
 96 
 
 548 
 
 3i,3 
 
 o,5 
 
 1 00 
 
 7057 
 
 ",3 
 
 0,6 
 
 300 
 
 680 
 
 35,o 
 
 o,5 
 
 1 04 
 
 0^06999 
 
 -i 6,6 
 
 -o,5 
 
 304 
 
 0^00827 
 
 + 38,6 
 
 + 0,4 
 
 08 
 
 6924 
 
 20,8 
 
 o,5 
 
 O8 
 
 988 
 
 4>9 
 
 0,4 
 
 12 
 
 6832 
 
 24,9 
 
 o,5 
 
 12 
 
 1162 
 
 45,i 
 
 o,4 
 
 16 
 
 6725 
 
 28,9 
 
 o,5 
 
 16 
 
 1348 
 
 48,0 
 
 o,4 
 
 2O 
 
 6601 
 
 32,8 
 
 o,5 
 
 2O 
 
 1546 
 
 5,7 
 
 o,3 
 
 1 24 
 
 0^06463 
 
 -36,4 
 
 -o,5 
 
 324 
 
 0-01754 
 
 + 53,i 
 
 + 0,3 
 
 28 
 
 6310 
 
 39,9 
 
 ,4 
 
 28 
 
 1971 
 
 55,3 
 
 o,3 
 
 32 
 
 6144 
 
 43,2 
 
 o,4 
 
 32 
 
 2196 
 
 57,2 
 
 0,2 
 
 36 
 
 5966 
 
 46,2 
 
 ,4 
 
 36 
 
 2428 
 
 58,8 
 
 0,2 
 
 40 
 
 5775 
 
 49,' 
 
 ,4 
 
 4O 
 
 2666 
 
 60,2 
 
 ,2 
 
 1-44 
 
 0-05574 
 
 -5", 7 
 
 -o,3 
 
 344 
 
 0-02909 
 
 + 61,2 
 
 + 0,1 
 
 48 
 
 5362 
 
 54,i 
 
 o,3 
 
 48 
 
 3156 
 
 61,9 
 
 + 0,1 
 
 52 
 
 5142 
 
 56,i 
 
 o,3 
 
 52 
 
 344 
 
 62,3 
 
 0,0 
 
 56 
 
 49'3 
 
 57,9 
 
 0,2 
 
 56 
 
 3654 
 
 62,4 
 
 0,0 
 
 60 
 
 4679 
 
 59,4 
 
 0,2 
 
 60 
 
 393 
 
 62,2 
 
 -0,1 
 
 1 64 
 
 0-04439 
 
 -60,6 
 
 -0,1 
 
 364 
 
 0-0415 1 
 
 + 61,4 
 
 -0,1 
 
 68 
 
 4'95 
 
 61,5 
 
 0,1 
 
 68 
 
 439 6 
 
 60,8 
 
 0,1 
 
 72 
 
 3947 
 
 62,1 
 
 -0,1 
 
 72 
 
 4 6 37 
 
 59,6 
 
 0,2 
 
 76 
 
 3698 
 
 62,4 
 
 0,0 
 
 76 
 
 4872 
 
 58,2 
 
 0,2 
 
 80 
 
 3448 
 
 62,4 
 
 0,0 
 
 8O 
 
 5102 
 
 56,4 
 
 0,2 
 
 1 84 
 
 0-03199 
 
 - 62,0 
 
 + 0,1 
 
 384 
 
 0-05323 
 
 + 54,4 
 
 -o,3 
 
 88 
 
 2953 
 
 61,4 
 
 0,1 
 
 88 
 
 5537 
 
 52,2 
 
 o,3 
 
 92 
 
 2709 
 
 60,4 
 
 0,1 
 
 92 
 
 5740 
 
 49,6 
 
 0,3 
 
 96 
 
 2470 
 
 59,i 
 
 0,2 
 
 96 
 
 5933 
 
 46,8 
 
 0,4 
 
 2-OO o'O2236 
 
 -57,5 
 
 + 0,2 
 
 400 
 
 0-06113 
 
 + 43,8 
 
 -o,4 
 
 i 
 
 2 
 
 3 
 
 I 
 
 2 3 
 
 F 
 
 Equa- 
 tion 
 
 A 
 O d 'OI 
 
 F 
 
 Equa- 
 tion 
 
 A 
 O d 'OI 
 
 d 
 
 o 
 
 
 d 
 
 o 
 
 
 000 
 
 0-01500 
 
 + 26,2 
 
 2-00 
 
 0-00926 
 
 -24,2 
 
 04 
 
 1605 
 
 26,2 
 
 O4 831 
 
 23,4 
 
 O8 
 
 1709 
 
 26,0 
 
 08 739 
 
 22,5 
 
 12 
 
 1813 
 
 25,7 
 
 12 651 
 
 2', 5 
 
 16 
 
 1914 
 
 25,2 
 
 16 567 
 
 20,4 
 
 2O 
 
 2014 
 
 24,6 
 
 2O 
 
 488 
 
 19,2 
 
 024 
 
 O-O2I I I 
 
 + 23,9 
 
 224 
 
 0-00414 
 
 -17,9 
 
 28 
 
 22O5 
 
 23,1 
 
 28 
 
 345 
 
 16,5 
 
 32 
 
 2296 
 
 22,2 
 
 32 
 
 282 
 
 15,0 
 
 36 
 
 2383 
 
 21,1 
 
 36 
 
 225 
 
 '3,4 
 
 4O 
 
 2465 
 
 2O,O 
 
 4O 
 
 ! 7 6 
 
 n,8 
 
 044 
 
 0-02542 
 
 + 18,7 
 
 244 
 
 0-00132 
 
 -10,1 
 
 48 
 
 2614 
 
 17,4 
 
 48 
 
 95 
 
 8,4 
 
 52 
 
 2682 
 
 '5,9 
 
 52 
 
 65 
 
 6,6 
 
 56 
 
 2742 
 
 H>4 
 
 56 
 
 4 2 
 
 4,8 
 
 60 
 
 2796 
 
 12,8 
 
 6O 
 
 27 
 
 2,9 
 
 0-64 
 
 0-02844 
 
 + ii, i 
 
 2 64 
 
 0-00019 
 
 - 1,1 
 
 68 
 
 2884 
 
 9,4 
 
 68 
 
 18 
 
 + 0,8 
 
 72 
 
 2919 
 
 7,7 
 
 72 
 
 24 
 
 2,4 
 
 76 
 
 2944 
 
 5,9 
 
 76 
 
 38 
 
 4,5 
 
 so 
 
 2964 
 
 4," 
 
 80 
 
 60 
 
 6,3 
 
 O84 
 
 0-02977 
 
 + 2,2 
 
 2-84 
 
 0-00088 
 
 + 8,1 
 
 88 
 
 2982 
 
 + 0,4 
 
 88 
 
 124 
 
 9,8 
 
 92 
 
 2980 
 
 - i,5 
 
 92 
 
 167 
 
 ",5 
 
 96 
 
 2970 
 
 3,4 
 
 96 
 
 216 
 
 13,2 
 
 1 00 
 
 2953 
 
 5,2 
 
 300 
 
 272 
 
 1 4,7 
 
 1 04 
 
 0-O293O 
 
 - 7,o 
 
 3-04 
 
 0-00334 
 
 + I 6,2 
 
 08 
 
 2898 
 
 8,8 
 
 08 
 
 401 
 
 17,8 
 
 12 
 
 2860 
 
 10,5 
 
 12 
 
 475 
 
 19,0 
 
 16 
 
 2815 
 
 12,2 
 
 16 
 
 554 
 
 20,2 
 
 20 
 
 2763 
 
 I 3 ,8 
 
 2O 
 
 637 
 
 21,3 
 
 1 24 
 
 0-02705 
 
 -'5,3 
 
 324 
 
 0-00724 
 
 + 22,4 
 
 28 
 
 2640 
 
 16,8 
 
 28 
 
 816 
 
 23,3 
 
 32 
 
 2570 
 
 18,2 
 
 32 
 
 910 
 
 24,1 
 
 36 
 
 2494 
 
 '9>5 
 
 36 
 
 1008 
 
 24,8 
 
 4O 
 
 2414 
 
 20,7 
 
 40 
 
 1108 
 
 25,3 
 
 1-44 
 
 0-02329 
 
 -21,8 
 
 344 
 
 0'OI2IO 
 
 + 25,8 
 
 48 
 
 2240 
 
 22,7 
 
 48 
 
 1314 
 
 26,, 
 
 52 
 
 2147 
 
 23,6 
 
 52 
 
 1418 
 
 26,2 
 
 56 
 
 2051 
 
 24,4 
 
 56 
 
 1524 
 
 26, 3 
 
 60 
 
 1952 
 
 25,0 
 
 60 
 
 1628 
 
 26,2 
 
 1 64 
 
 0'0l851 
 
 -25,5 
 
 364 
 
 0-01733 
 
 + 25,9 
 
 68 
 
 1748 
 
 25,9 
 
 68 
 
 1836 
 
 25,6 
 
 72 
 
 1646 
 
 26,1 
 
 72 
 
 1937 
 
 25,' 
 
 76 
 
 1541 
 
 26,2 
 
 76 
 
 2035 
 
 24,5 
 
 80 
 
 H36 
 
 26,2 
 
 8O 
 
 2132 
 
 23,8 
 
 1 84 
 
 0'OI33I 
 
 -26,1 
 
 384 
 
 0-02225 
 
 + 22,9 
 
 88 
 
 1228 
 
 25,8 
 
 88 
 
 2315 
 
 21,9 
 
 92 
 
 1125 
 
 25,4 
 
 92 
 
 2400 
 
 20,9 
 
 96 
 
 IO25 
 
 24,9 
 
 96 
 
 2482 
 
 19,7 
 
 2-00 
 
 0-00926 I - 24,2 
 
 4-00 
 
 1-02558 
 
 + 18,4 
 
 Applied Constant : +o'o36oo. 
 
 Applied Constant : +o'oisoo. 
 
SATELLITE II 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XVIII 
 
 Equations of Longitude 
 
 XIX 
 
 I 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 G 
 
 Equation 
 
 A 
 Id 
 
 G 
 
 Equation 
 
 A 
 
 Id 
 
 d 
 
 o 
 
 
 d 
 
 o 
 
 
 o 
 
 O'OIIOO 
 
 + 17,8 
 
 250 
 
 0-00403 
 
 - 12,8 
 
 5 
 
 1289 
 
 17,8 
 
 255 
 
 341 
 
 11,8 
 
 1O 
 
 1378 
 
 J7.6 
 
 260 
 
 285 
 
 10,7 
 
 15 
 
 1466 
 
 '7,4 
 
 265 
 
 235 
 
 9,5 
 
 20 
 
 '55i 
 
 17,0 
 
 270 
 
 190 
 
 8,3 
 
 25 
 
 1635 
 
 '6,5 
 
 275 
 
 152 
 
 7,i 
 
 30 
 
 0-01716 
 
 + 15,9 
 
 280 
 
 0-00 1 2O 
 
 - 5,7 
 
 35 
 
 '794 
 
 '5,3 
 
 285 
 
 94 
 
 4,4 
 
 40 
 
 1868 
 
 H>5 
 
 290 
 
 76 
 
 3,o 
 
 45 
 
 1939 
 
 i3,6 
 
 295 
 
 64 
 
 i,7 
 
 50 
 
 2004 
 
 I2 ,7 
 
 3OO 
 
 60 
 
 - ,2 
 
 55 
 
 0^02065 
 
 + n,6 
 
 3O5 
 
 0-00062 
 
 + 1,2 
 
 6O 
 
 2I2O 
 
 '0,5 
 
 31O 
 
 7 
 
 2,5 
 
 65 
 
 2I7O 
 
 9,4 
 
 315 
 
 87 
 
 4,o 
 
 7O 
 
 2215 
 
 8,2 
 
 320 
 
 1 IO 
 
 5,3 
 
 75 
 
 2252 
 
 6,9 
 
 325 
 
 140 
 
 6,6 
 
 SO 
 
 O-O2284 
 
 + 5,6 
 
 330 
 
 0-00176 
 
 + 7,9 
 
 85 
 
 2308 
 
 4,3 
 
 335 
 
 219 
 
 9, 1 
 
 9O 
 
 2326 
 
 2 ,9 
 
 340 
 
 267 
 
 '0,3 
 
 95 
 
 2337 
 
 ',5 
 
 345 
 
 321 
 
 ",4 
 
 too 
 
 234' 
 
 + 0,1 
 
 350 
 
 38i 
 
 12,4 
 
 105 
 
 O-O2339 
 
 - i,3 
 
 355 
 
 0-00445 
 
 + '3,4 
 
 110 
 
 2328 
 
 2,7 
 
 360 
 
 5H 
 
 '4,3 
 
 115 
 
 2311 
 
 4,i 
 
 365 
 
 588 
 
 '5,' 
 
 120 
 
 2288 
 
 5,4 
 
 370 
 
 665 
 
 '5,8 
 
 125 
 
 2257 
 
 6,8 
 
 375 
 
 745 
 
 '6,4 
 
 ISO 
 
 O-0222O 
 
 - 8,0 
 
 380 
 
 0-00828 
 
 + 16,9 
 
 135 
 
 2177 
 
 9-3 
 
 385 
 
 914 
 
 '7,3 
 
 140 
 
 2127 
 
 10,4 
 
 390 
 
 1001 
 
 '7,6 
 
 145 
 
 2073 
 
 'i,5 
 
 395 
 
 1089 
 
 17,8 
 
 150 
 
 2013 
 
 12,6 
 
 400 
 
 1179 
 
 '7,9 
 
 155 
 
 0-01948 
 
 -i3,5 
 
 405 
 
 0-01268 
 
 + '7,8 
 
 160 
 
 1878 
 
 H,4 
 
 410 
 
 1357 
 
 '7,7 
 
 165 
 
 1804 
 
 '5,2 
 
 415 
 
 1446 
 
 '7,4 
 
 170 
 
 1726 
 
 '5,9 
 
 420 
 
 1532 
 
 '7,' 
 
 175 
 
 l6 4 6 
 
 16,5 
 
 425 
 
 1616 
 
 1 6,6 
 
 180 
 
 0-01562 
 
 -i 6,9 
 
 430 
 
 0-01697 
 
 + 16,1 
 
 185 
 
 1476 
 
 17,3 
 
 435 
 
 1776 
 
 '5,4 
 
 190 
 
 '389 
 
 7,7 
 
 440 
 
 1851 
 
 '4,7 
 
 195 
 
 1300 
 
 '7,8 
 
 445 
 
 1923 
 
 13,8 
 
 200 
 
 12 II 
 
 17,9 
 
 450 
 
 1990 
 
 12,9 
 
 205 
 
 O'OI 121 
 
 -17,8 
 
 455 
 
 0-02052 
 
 + 'i,9 
 
 210 
 
 IO32 
 
 '7,7 
 
 46O 
 
 2108 
 
 10,8 
 
 215 
 
 944 
 
 17,4 
 
 465 
 
 2160 
 
 9,7 
 
 220 
 
 859 
 
 17,0 
 
 47O 
 
 2205 
 
 8,5 
 
 225 
 
 774 
 
 1 6,6 
 
 475 
 
 2244 
 
 7,2 
 
 230 
 
 0*00693 
 
 - 16,0 
 
 480 
 
 0-02277 
 
 + 5,9 
 
 235 
 
 615 
 
 '5,3 
 
 485 
 
 2303 
 
 4,6 
 
 240 
 
 540 
 
 14,6 
 
 490 
 
 1322 
 
 3, 2 
 
 245 
 
 469 
 
 13,7 
 
 495 
 
 2334 
 
 1,8 
 
 250 
 
 0^00403 
 
 -12,8 
 
 500 
 
 0-02340 
 
 + 0,4 
 
 i 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 H 
 
 Equation 
 
 A 
 
 H 
 
 H 
 
 Equation 
 
 A 
 
 Id 
 
 d 
 
 o 
 
 
 d 
 
 
 
 
 
 
 0-00800 
 
 + 10,5 
 
 25O 
 
 0*00581 
 
 -10,1 
 
 5 
 
 853 
 
 10,5 
 
 255 
 
 53' 
 
 9,9 
 
 10 
 
 905 
 
 10,4 
 
 260 
 
 483 
 
 9,6 
 
 15 
 
 957 
 
 10,3 
 
 265 
 
 435 
 
 9,3 
 
 20 
 
 1008 
 
 10,1 
 
 270 
 
 39 
 
 8,9 
 
 25 
 
 1058 
 
 9,9 
 
 275 
 
 347 
 
 8,5 
 
 30 
 
 o-oi 106 
 
 + 9,6 
 
 280 
 
 0-00306 
 
 - 8,0 
 
 35 
 
 1154 
 
 9,3 
 
 285 
 
 266 
 
 7,6 
 
 40 
 
 1199 
 
 9,o 
 
 29O 
 
 230 
 
 7,o 
 
 45 
 
 1243 
 
 8,6 
 
 295 
 
 196 
 
 6,5 
 
 50 
 
 1285 
 
 8,1 
 
 30O 
 
 166 
 
 5,9 
 
 55 
 
 0-01325 
 
 + 7,7 
 
 305 
 
 0-00138 
 
 - 5,3 
 
 6O 
 
 1361 
 
 7,2 
 
 31O 
 
 "3 
 
 4,6 
 
 65 
 
 1396 
 
 6,6 
 
 315 
 
 92 
 
 4,0 
 
 70 
 
 1427 
 
 6,0 
 
 32O 
 
 74 
 
 3,3 
 
 75 
 
 1456 
 
 5,4 
 
 325 
 
 59 
 
 2,6 
 
 80 
 
 0-01481 
 
 + 4,8 
 
 33O 
 
 0-00048 
 
 - ',9 
 
 85 
 
 1504 
 
 4,2 
 
 335 
 
 4 o 
 
 ',2 
 
 90 
 
 1522 
 
 3,5 
 
 34O 
 
 36 
 
 - ,'S 
 
 95 
 
 1538 
 
 2,8 
 
 345 
 
 35 
 
 + 0,3 
 
 100 
 
 1550 
 
 2,1 
 
 35O 
 
 38 
 
 ',0 
 
 1O5 
 
 0-01559 
 
 + 1,4 
 
 355 
 
 0-00045 
 
 + ',7 
 
 110 
 
 1564 
 
 + ,7 
 
 360 
 
 55 
 
 *,4- 
 
 115 
 
 1565 
 
 - 0,1 
 
 365 
 
 69 
 
 3,i 
 
 120 
 
 1563 
 
 0,8 
 
 370 
 
 86 
 
 3,8 
 
 125 
 
 '557 
 
 ',5 
 
 375 
 
 1 06 
 
 4,5 
 
 130 
 
 0-01548 
 
 - 2,2 
 
 380 
 
 0-00130 
 
 + 5,' 
 
 135 
 
 '535 
 
 3,o 
 
 385 
 
 '57 
 
 5,7 
 
 14O 
 
 1518 
 
 3,6 
 
 39O 
 
 187 
 
 6,3 
 
 145 
 
 1499 
 
 4,3 
 
 395 
 
 220 
 
 6,9 
 
 150 
 
 1476 
 
 4,9 
 
 4OO 
 
 256 
 
 7,4 
 
 155 
 
 0-01450 
 
 - 5,6 
 
 405 
 
 0-00294 
 
 + 7,9 
 
 160 
 
 1421 
 
 6,2 
 
 41 
 
 334 
 
 8,3 
 
 165 
 
 1388 
 
 6,7 
 
 415 
 
 377 
 
 8,8 
 
 170 
 
 '353 
 
 7,3 
 
 42O 
 
 422 
 
 9,' 
 
 175 
 
 1316 
 
 7,8 
 
 425 
 
 468 
 
 9,5 
 
 180 
 
 0-01276 
 
 - 8,2 
 
 43O 
 
 0-00516 
 
 + 9>8 
 
 185 
 
 1234 
 
 8,7 
 
 435 
 
 566 
 
 1 0,0 
 
 190 
 
 1189 
 
 9, 
 
 440 
 
 616 
 
 10,2 
 
 195 
 
 "43 
 
 9>4 
 
 445 
 
 668 
 
 10,4 
 
 200 
 
 1095 
 
 9,7 
 
 450 
 
 720 
 
 ',5 
 
 205 
 
 0-01046 
 
 - 1 0,0 
 
 455 
 
 0-00772 
 
 + 10,5 
 
 21O 
 
 996 
 
 10,2 
 
 460 
 
 825 
 
 10,5 
 
 215 
 
 945 
 
 10,3 
 
 465 
 
 878 
 
 i,5 
 
 220 
 
 893 
 
 10,4 
 
 47O 
 
 929 
 
 10,3 
 
 225 
 
 841 
 
 >,5 
 
 475 
 
 980 
 
 10,2 
 
 23O 
 
 0-00788 
 
 -10,5 
 
 48O 
 
 0-01031 
 
 + 10,0 
 
 235 
 
 735 
 
 io,5 
 
 485 
 
 1081 
 
 9,8 
 
 24O 
 
 683 
 
 10,4 
 
 49O 
 
 1129 
 
 9,5 
 
 245 : 631 
 
 10,3 
 
 495 
 
 "75 
 
 9,2 
 
 25O 0-00581 
 
 -10,1 
 
 500 
 
 O-OI22O 
 
 + 8,8 
 
 Applied Constant : +o'oi2oo. 
 
 Applied Constant : +o'oo8oo. 
 
 103 
 
SATELLITE II 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 xx 
 
 Equations of Longitude 
 
 XXI 
 
 I 
 
 2 
 
 3 
 
 4 
 
 I 
 
 2 
 
 3 
 
 4 
 
 1 
 
 Equa- 
 tion 
 
 A 
 id 
 
 |A 2 
 
 1 
 
 Equa- 
 tion 
 
 A 
 
 Id 
 
 JA 
 
 d 
 
 
 
 
 
 d 
 
 o 
 
 
 
 o 
 
 0-04500 
 
 -58,0 
 
 ,00 
 
 250 
 
 0-05013 
 
 + 57,7 
 
 -,05 
 
 5 
 
 4210 
 
 57,9 
 
 + ,03 
 
 255 
 
 5300 
 
 57,i 
 
 ,07 
 
 1O 
 
 3921 
 
 57,6 
 
 ,5 
 
 260 
 
 5583 
 
 56,4 
 
 ,9 
 
 15 
 
 3635 
 
 57,o 
 
 ,08 
 
 265 
 
 5863 
 
 55,3 
 
 ,12 
 
 20 
 
 335 2 
 
 56,1 
 
 ,10 
 
 270 
 
 6136 
 
 54,o 
 
 ,'4 
 
 25 
 
 3074 
 
 55, 
 
 ,13 
 
 275 
 
 6401 
 
 52,5 
 
 ,16 
 
 3O 
 
 0-02802 
 
 -53,7 
 
 + ,I5 
 
 28O 
 
 0-06659 
 
 + 50,8 
 
 -,18 
 
 35 
 
 2538 
 
 52,2 
 
 ,17 
 
 285 
 
 6908 
 
 48,9 
 
 ,21 
 
 40 
 
 2282 
 
 5,4 
 
 ,'9 
 
 290 
 
 7'47 
 
 4 6 >7 
 
 ,23 
 
 45 
 
 2036 
 
 48,4 
 
 ,21 
 
 295 
 
 7375 
 
 44,4 
 
 ,25 
 
 50 
 
 1799 
 
 46,2 
 
 ,23 
 
 300 
 
 759 
 
 41,8 
 
 ,26 
 
 55 
 
 0-01573 
 
 -43,8 
 
 + ,25 
 
 305 
 
 0-07792 
 
 + 39,2 
 
 -,28 
 
 6O 
 
 1362 
 
 41,2 
 
 ,27 
 
 310 
 
 7981 
 
 36,2 
 
 ,30 
 
 65 
 
 1 162 
 
 38,5 
 
 ,29 
 
 315 
 
 8154 
 
 33,2 
 
 ,31 
 
 70 
 
 978 
 
 35,5 
 
 ,3' 
 
 32O 
 
 8312 
 
 3, 
 
 ,32 
 
 75 
 
 808 
 
 32.4 
 
 ,3i 
 
 325 
 
 8454 
 
 26,8 
 
 ,33 
 
 SO 
 
 0-00653 
 
 -29,3 
 
 + ,32 
 
 330 
 
 0-08579 
 
 + 23,4 
 
 -.35 
 
 85 
 
 516 
 
 26,0 
 
 ,34 
 
 335 
 
 8687 
 
 19,8 
 
 ,36 
 
 90 
 
 394 
 
 22,5 
 
 ,35 
 
 34O 
 
 8778 
 
 I 6, 2 
 
 ,36 
 
 95 
 
 291 
 
 19,0 
 
 ,36 
 
 345 
 
 8850 
 
 12,6 
 
 ,37 
 
 1OO 
 
 204 
 
 '5,4 
 
 ,37 
 
 35O 
 
 8904 
 
 8,8 
 
 ,38 
 
 1O5 
 
 0-00137 
 
 -n,7 
 
 + .37 
 
 355 
 
 0-08938 
 
 + 5,i 
 
 -,38 
 
 110 
 
 88 
 
 8,0 
 
 ,37 
 
 36O 
 
 8954 
 
 + i,3 
 
 ,38 
 
 115 
 
 58 
 
 4,3 
 
 ,38 
 
 365 
 
 895 
 
 - *,5 
 
 ,38 
 
 12O 
 
 45 
 
 - ,4 
 
 ,39 
 
 37O 
 
 8929 
 
 6,2 
 
 ,38 
 
 125 
 
 53 
 
 + 3,4 
 
 ,38 
 
 375 
 
 8888 
 
 1 0,0 
 
 ,38 
 
 13O 
 
 0-00079 
 
 + 7,i 
 
 + ,38 
 
 380 
 
 0-08829 
 
 -13,7 
 
 -,37 
 
 135 
 
 124 
 
 10,9 
 
 ,37 
 
 385 
 
 8752 
 
 i7,3 
 
 ,36 
 
 140 
 
 187 
 
 H,5 
 
 ,37 
 
 39O 
 
 8656 
 
 20,9 
 
 ,36 
 
 145 
 
 269 
 
 I 8,2 
 
 ,36 
 
 395 
 
 8543 
 
 24,4 
 
 ,35 
 
 150 
 
 368 
 
 zi,7 
 
 ,35 
 
 4OO 
 
 8413 
 
 27,8 
 
 ,33 
 
 155 
 
 0-00486 
 
 + 25, 2 
 
 + ,34 
 
 405 
 
 0-08265 
 
 -31, 
 
 -,32 
 
 16O 
 
 620 
 
 28,5 
 
 ,33 
 
 41 
 
 8103 
 
 34,2 
 
 ,3' 
 
 165 
 
 771 
 
 3i,8 
 
 ,32 
 
 415 
 
 7925 
 
 37,i 
 
 ,29 
 
 17O 
 
 937 
 
 34,9 
 
 ,3 
 
 42O 
 
 7732 
 
 40,0 
 
 ,28 
 
 175 
 
 1119 
 
 37,8 
 
 .29 
 
 425 
 
 7525 
 
 42,6 
 
 ,26 
 
 18O 
 
 0-01315 
 
 + 40,6 
 
 + ,27 
 
 43O 
 
 0-07306 
 
 -45,' 
 
 -,24 
 
 185 
 
 1525 
 
 43,2 
 
 ,25 
 
 435 
 
 7075 
 
 47,4 
 
 ,22 
 
 19O 
 
 1746 
 
 45, 6 
 
 ,24 
 
 44O 
 
 6833 
 
 49,5 
 
 ,20 
 
 195 
 
 1980 
 
 47,9 
 
 ,22 
 
 445 
 
 6581 
 
 5i,3 
 
 ,18 
 
 200 
 
 2225 
 
 49,9 
 
 ,!9 
 
 450 
 
 6320 
 
 53, 
 
 ,16 
 
 205 
 
 0-02479 
 
 + 5',7 
 
 + ,17 
 
 455 
 
 0-06052 
 
 -54,5 
 
 -,i3 
 
 210 
 
 2741 
 
 53,4 
 
 ,!5 
 
 46O 
 
 5776 
 
 55,6 
 
 ,u 
 
 215 
 
 301 1 
 
 54,7 
 
 ,12 
 
 465 
 
 5495 
 
 56,6 
 
 ,9 
 
 22O 
 
 3288 
 
 55,8 
 
 ,10 
 
 47O 
 
 5211 
 
 57,3 
 
 ,06 
 
 225 
 
 3570 
 
 56,8 
 
 ,08 
 
 475 
 
 4923 
 
 57,8 
 
 ,04 
 
 23O 
 
 0-03855 
 
 + 57,4 
 
 + ,06 
 
 480 
 
 0-04633 
 
 -58,1 
 
 -,OI 
 
 235 
 
 4H3 
 
 57,9 
 
 ,4 
 
 485 
 
 4343 
 
 58,0 
 
 + ,02 
 
 24O 
 
 4433 
 
 58,1 
 
 + .01 
 
 490 
 
 453 
 
 57,8 
 
 ,04 
 
 245 
 
 4723 
 
 58,0 
 
 -,02 
 
 495 
 
 3766 
 
 57,3 
 
 ,07 
 
 250 
 
 0-05013 
 
 + 57,7 
 
 -.05 
 
 500 
 
 0-03482 
 
 -56,5 
 
 + ,09 
 
 I 
 
 2 
 
 3 
 
 I 
 
 2 
 
 3 
 
 J 
 
 Equa- 
 tion 
 
 A 
 
 Id 
 
 J 
 
 Equa- 
 tion 
 
 A 
 
 I* 
 
 d 
 
 o 
 
 
 d 
 
 d 
 
 
 O 
 
 o'oiSoo 
 
 -23,3 
 
 25O 
 
 0-01968 
 
 + 23,2 
 
 5 
 
 1684 
 
 23,2 
 
 255 
 
 2083 
 
 23,0 
 
 1O 
 
 1568 
 
 23,1 
 
 260 
 
 2197 
 
 22,7 
 
 15 
 
 1454 
 
 22,8 
 
 265 
 
 2309 
 
 22,3 
 
 2O 
 
 1340 
 
 22,5 
 
 27O 
 
 2420 
 
 21,8 
 
 25 
 
 1229 
 
 22,1 
 
 275 
 
 2527 
 
 21,3 
 
 3O 
 
 O-OII2O 
 
 -21,5 
 
 28O 
 
 0-02632 
 
 + 20,6 
 
 35 
 
 1013 
 
 20,9 
 
 285 
 
 2734 
 
 '9.9 
 
 40 
 
 910 
 
 2O,2 
 
 290 
 
 2831 
 
 J9, 1 
 
 45 
 
 Bit 
 
 J9.4 
 
 295 
 
 2924 
 
 18,2 
 
 5O 
 
 716 
 
 18,6 
 
 3OO 
 
 3012 
 
 17,2 
 
 55 
 
 0-00625 
 
 -17,6 
 
 305 
 
 0-03095 
 
 + 16,1 
 
 6O 
 
 540 
 
 16,6 
 
 31 
 
 3173 
 
 15,0 
 
 65 
 
 460 
 
 '5,5 
 
 315 
 
 3246 
 
 13,8 
 
 7O 
 
 385 
 
 '4.4 
 
 32O 
 
 3312 
 
 12,6 
 
 75 
 
 316 
 
 13,2 
 
 325 
 
 337i 
 
 u,3 
 
 
 
 
 
 
 
 80 
 
 0-00254 
 
 -11,9 
 
 33O 
 
 0-03424 
 
 + 10,0 
 
 85 
 
 197 
 
 10,6 
 
 335 
 
 3470 
 
 8,6 
 
 9O 
 
 148 
 
 9,2 
 
 340 
 
 35ii 
 
 7,2 
 
 95 
 
 1 06 
 
 7,8 
 
 345 
 
 3543 
 
 5,7 
 
 10O 
 
 70 
 
 6,4 
 
 350 
 
 3568 
 
 4,3 
 
 1O5 
 
 0-00042 
 
 - 4,9 
 
 355 
 
 0-03586 
 
 + 2,8 
 
 110 
 
 21 
 
 3,4 
 
 360 
 
 359 6 
 
 + i,3 
 
 115 
 
 8 
 
 2,0 
 
 365 
 
 3598 
 
 - 0,3 
 
 12O 
 
 2 
 
 - 0,4 
 
 37O 
 
 3593 
 
 1,8 
 
 125 
 
 4 
 
 + 1,1 
 
 375 
 
 3581 
 
 3,3 
 
 13O 
 
 0-00013 
 
 + 2,6 
 
 38O 
 
 0-03561 
 
 - 4,7 
 
 135 
 
 30 
 
 4- 1 
 
 385 
 
 3534 
 
 6,2 
 
 14O 
 
 54 
 
 5,6 
 
 39O 
 
 3499 
 
 7,6 
 
 145 
 
 85 
 
 7,o 
 
 395 
 
 3457 
 
 9, 
 
 150 
 
 124 
 
 8,4 
 
 4OO 
 
 349 
 
 10,4 
 
 155 
 
 0-00170 
 
 + 9,8 
 
 4O5 
 
 0-03353 
 
 -ii,7 
 
 160 
 
 222 
 
 11,2 
 
 41 
 
 3292 
 
 13,0 
 
 165 
 
 28l 
 
 12,5 
 
 415 
 
 3224 
 
 H,2 
 
 17O 
 
 346 
 
 13,7 
 
 42O 
 
 3150 
 
 i5,4 
 
 175 
 
 418 
 
 ! 4,9 
 
 425 
 
 3071 
 
 16,5 
 
 180 
 
 0-00494 
 
 -1- 1 6,0 
 
 43O 
 
 0-02986 
 
 -17,5 
 
 185 
 
 577 
 
 I7, 1 
 
 435 
 
 2896 
 
 8,5 
 
 190 
 
 665 
 
 18,1 
 
 440 
 
 2801 
 
 '9-3 
 
 195 
 
 757 
 
 19,0 
 
 445 
 
 2701 
 
 20,1 
 
 20O 
 
 854 
 
 19,8 
 
 450 
 
 2599 
 
 20,8 
 
 2O5 
 
 0-00955 
 
 + 20,6 
 
 455 
 
 0-02494 
 
 -21,5 
 
 21O 
 
 1060 
 
 21,2 
 
 46O 
 
 2385 
 
 22,0 
 
 215 
 
 1167 
 
 21,8 
 
 465 
 
 2274 
 
 22,5 
 
 22O 
 
 1277 
 
 22,3 
 
 47O 
 
 2161 
 
 22,8 
 
 225 
 
 1390 
 
 22,7 
 
 475 
 
 2046 
 
 23,1 
 
 230 
 
 0-01504 
 
 + 22,9 
 
 480 
 
 0-01930 
 
 -23,2 
 
 235 
 
 1619 
 
 23,2 
 
 485 
 
 1814 
 
 23,3 
 
 240 
 
 1735 
 
 23,3 
 
 49O 
 
 1698 
 
 23,2 
 
 245 
 
 1852 
 
 23,3 
 
 495 
 
 1582 
 
 23,1 
 
 250 
 
 0-01968 
 
 + 23,2 
 
 50O 
 
 0-01467 
 
 -21,9 
 
 Applied Constant : +o'o45oo. 
 
 Applied Constant : +o-oi8oo 
 
 104 
 
SATELLITE II 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 Equations of Longitude 
 XXII XXIII XXIV XXV XXVI 
 
 I 
 
 2 
 
 K 
 
 Equa- 
 tion 
 
 d 
 
 o 
 
 00 
 
 0-00040 
 
 O4 
 
 44 
 
 08 
 
 49 
 
 12 
 
 53 
 
 16 
 
 57 
 
 20 
 
 60 
 
 24 
 
 0-00063 
 
 28 
 
 66 
 
 32 
 
 68 
 
 36 
 
 7 
 
 4O 
 
 7i 
 
 044 
 
 0-00071 
 
 48 
 
 7i 
 
 52 
 
 70 
 
 56 
 
 68 
 
 60 
 
 66 
 
 O-64 
 
 0-00064 
 
 68 
 
 61 
 
 72 
 
 57 
 
 76 
 
 53 
 
 80 
 
 49 
 
 084 
 
 0-00045 
 
 88 
 
 40 
 
 92 
 
 36 
 
 96 
 
 32 
 
 1 00 
 
 28 
 
 1-04 
 
 0-00024 
 
 08 
 
 20 
 
 12 
 
 i7 
 
 16 
 
 H 
 
 2O 
 
 12 
 
 1 24 
 
 o-oooio 
 
 28 
 
 9 
 
 32 
 
 9 
 
 36 
 
 9 
 
 4O 
 
 10 
 
 1 44 
 
 O'OOOI I 
 
 48 
 
 13 
 
 52 
 
 16 
 
 56 
 
 '9 
 
 60 
 
 22 
 
 1 64 
 
 O-OOO26 
 
 68 
 
 3 
 
 72 
 
 35 
 
 76 
 
 39 
 
 so 
 
 43 
 
 1-84 
 
 0-00048 
 
 88 
 
 52 
 
 92 
 
 56 
 
 96 
 
 59 
 
 2 00 
 
 0-00063 
 
 i 
 
 2 
 
 L 
 
 Equa- 
 tion 
 
 d 
 
 o 
 
 o-o 
 
 0-00030 
 
 1 
 
 25 
 
 2 
 
 20 
 
 3 
 
 16 
 
 4 
 
 12 
 
 5 
 
 9 
 
 06 
 
 o '00006 
 
 7 
 
 4 
 
 8 
 
 3 
 
 9 
 
 3 
 
 10 4 
 
 11 
 
 0-00006 
 
 2 
 
 8 
 
 3 
 
 ii 
 
 4 
 
 IS 
 
 5 
 
 '9 
 
 1-6 
 
 0-00023 
 
 7 
 
 28 
 
 8 
 
 33 
 
 9 
 
 37 
 
 2-0 
 
 42 
 
 2-1 
 
 0-00046 
 
 2 
 
 5 
 
 3 
 
 53 
 
 4 
 
 55 
 
 5 
 
 56 
 
 2-6 
 
 0-00057 
 
 7 
 
 57 
 
 8 
 
 56 
 
 9 
 
 54 
 
 30 
 
 5i 
 
 31 
 
 0-00048 
 
 2 
 
 44 
 
 3 
 
 39 
 
 4 
 
 35 
 
 5 
 
 3 
 
 36 
 
 0-00025 
 
 7 
 
 20 
 
 8 
 
 16 
 
 9 
 
 12 
 
 4O 
 
 9 
 
 4-1 
 
 0-00006 
 
 2 
 
 4 
 
 3 
 
 3 
 
 4 
 
 3 
 
 5 
 
 4 
 
 4-6 
 
 0-00006 
 
 7 
 
 8 
 
 8 
 
 ii 
 
 9 
 
 15 
 
 50 
 
 0-00019 
 
 I 
 
 2 
 
 3 
 
 M 
 
 Equa- 
 tion 
 
 A 
 
 d 
 
 o 
 
 
 0-0 
 
 O-OO2OO 
 
 + 35 
 
 1 
 
 235 
 
 35 
 
 2 
 
 270 
 
 34 
 
 3 
 
 302 
 
 3' 
 
 4 
 
 33' 
 
 27 
 
 5 
 
 J5 6 
 
 22 
 
 06 
 
 0-00375 
 
 + '7 
 
 7 
 
 389 
 
 II 
 
 8 
 
 397 
 
 + 5 
 
 9 
 
 399 
 
 - 2 
 
 10 
 
 394 
 
 8 
 
 11 
 
 0-00383 
 
 - H 
 
 2 
 
 366 
 
 20 
 
 3 
 
 344 
 
 25 
 
 4 
 
 3'7 
 
 28 
 
 5 
 
 287 
 
 32 
 
 16 
 
 0-00253 
 
 - 35 
 
 7 
 
 218 
 
 36 
 
 8 
 
 182 
 
 36 
 
 9 
 
 H7 
 
 34 
 
 20 
 
 "4 
 
 3 
 
 2-1 
 
 0-00083 
 
 - 29 
 
 2 
 
 S* 
 
 25 
 
 3 
 
 34 
 
 20 
 
 4 
 
 i7 
 
 '4 
 
 5 
 
 6 
 
 8 
 
 26 
 
 o-ooooi 
 
 - 2 
 
 7 
 
 3 
 
 + 5 
 
 8 
 
 ii 
 
 ii 
 
 9 
 
 4 
 
 17 
 
 3-D 
 
 44 
 
 23 
 
 3-1 
 
 0-00069 
 
 + 27 
 
 2 
 
 98 
 
 3' 
 
 3 
 
 130 
 
 33 
 
 4 
 
 164 
 
 35 
 
 5 
 
 200 
 
 36 
 
 36 
 
 0-00236 
 
 + 35 
 
 7 
 
 270 
 
 33 
 
 8 
 
 302 
 
 3' 
 
 9 
 
 33i 
 
 27 
 
 40 
 
 356 
 
 22 
 
 4-1 
 
 0-00375 
 
 + 17 
 
 2 
 
 389 
 
 II 
 
 3 
 
 397 
 
 + 5 
 
 4 
 
 399 
 
 - 2 
 
 5 
 
 394 
 
 8 
 
 46 
 
 0-00383 
 
 - '4 
 
 7 
 
 366 
 
 20 
 
 8 
 
 344 
 
 25 
 
 9 
 
 37 
 
 28 
 
 50 
 
 0-00287 
 
 - 32 
 
 i 
 
 z 
 
 N 
 
 Equa- 
 tion 
 
 d 
 
 o 
 
 00 
 
 0-00090 
 
 1 
 
 105 
 
 2 
 
 119 
 
 3 
 
 132 
 
 4 
 
 H5 
 
 5 
 
 '55 
 
 06 
 
 0-00163 
 
 7 
 
 169 
 
 8 
 
 172 
 
 9 
 
 173 
 
 1-0 
 
 171 
 
 1-1 
 
 o -00166 
 
 2 
 
 '59 
 
 3 
 
 150 
 
 4 
 
 '39 
 
 5 
 
 126 
 
 16 
 
 O'OOI 12 
 
 7 
 
 97 
 
 8 
 
 83 
 
 9 
 
 68 
 
 20 
 
 54 
 
 2-1 
 
 0-00041 
 
 2 
 
 30 
 
 3 
 
 21 
 
 4 
 
 H 
 
 5 
 
 10 
 
 26 
 
 0-00007 
 
 7 
 
 8 
 
 8 
 
 12 
 
 9 
 
 18 
 
 3-O 
 
 *5 
 
 31 
 
 0-00036 
 
 2 
 
 47 
 
 3 
 
 61 
 
 4 
 
 75 
 
 5 
 
 90 
 
 3-6 
 
 0-00105 
 
 7 
 
 119 
 
 8 
 
 '33 
 
 9 
 
 H5 
 
 4-0 
 
 '55 
 
 4-1 
 
 0-00163 
 
 2 
 
 169 
 
 3 
 
 172 
 
 4 
 
 173 
 
 5 
 
 171 
 
 4-6 
 
 0-00166 
 
 7 
 
 '59 
 
 8 
 
 150 
 
 9 
 
 139 
 
 50 
 
 O-OOI2O 
 
 I 
 
 2 
 
 
 
 Equa- 
 tion 
 
 d 
 
 o 
 
 00 
 
 0-00040 
 
 1 
 
 46 
 
 2 
 
 52 
 
 3 
 
 57 
 
 4 
 
 62 
 
 5 
 
 66 
 
 06 
 
 0*00070 
 
 7 
 
 72 
 
 8 
 
 74 
 
 9 
 
 74 
 
 1-O 
 
 74 
 
 1-1 
 
 0-00072 
 
 2 
 
 69 
 
 3 
 
 66 
 
 4 
 
 62 
 
 5 
 
 57 
 
 1-6 
 
 0-00051 
 
 7 
 
 46 
 
 8 
 
 39 
 
 9 
 
 33 
 
 20 
 
 28 
 
 2-1 
 
 0-00023 
 
 2 
 
 18 
 
 3 
 
 '4 
 
 4 
 
 10 
 
 5 
 
 8 
 
 2-6 
 
 0-00006 
 
 7 
 
 6 
 
 8 
 
 7 
 
 9 
 
 8 
 
 3-0 
 
 ii 
 
 3-1 
 
 0-00014 
 
 2 
 
 '9 
 
 3 
 
 24 
 
 4 
 
 9 
 
 5 
 
 35 
 
 36 
 
 0-00041 
 
 7 
 
 47 
 
 8 
 
 53 
 
 9 
 
 58 
 
 4-0 
 
 63 
 
 4-1 
 
 0-00067 
 
 2 
 
 70 
 
 3 
 
 72 
 
 4 
 
 74 
 
 5 
 
 74 
 
 4-6 
 
 0-00073 
 
 7 
 
 7i 
 
 8 
 
 68 
 
 9 
 
 65 
 
 50 
 
 0-00061 
 
 Constant : +o*'ooo4o. 
 
 Conitant : 
 
 Applied Constant : +o"oozoo. 
 105 
 
 Constant: +o"'ooogo. 
 
 Constant: +o'-ooo40. 
 14 
 
SATELLITE II 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XXVII Equation of Longitude Argument P 
 
 I 
 
 z 
 
 3 
 
 i 
 
 Z 
 
 3 
 
 i 
 
 * I 3 
 
 i 
 
 z 
 
 3 
 
 i 
 
 z 
 
 3 
 
 P 
 
 Equation 
 
 A 
 OS"I 
 
 P 
 
 Equation 
 
 A 
 
 oy-j 
 
 P 
 
 Equation! ^.j 
 
 P 
 
 Equation 
 
 A 
 
 oy-i 
 
 P 
 
 Equation 
 
 A 
 
 oyi 
 
 
 o 
 
 
 
 o 
 
 
 
 
 
 
 o 
 
 
 
 o 
 
 
 18500 
 
 0-01505 
 
 + 66 
 
 18600 
 
 0-02852 
 
 + 15 
 
 1870 O 
 
 0-01310 
 
 -73 
 
 18800 
 
 0-02354 
 
 -39 
 
 18900 
 
 0-04885 
 
 o 
 
 *2 
 
 1636 
 
 66 
 
 2 
 
 2887 
 
 20 
 
 2 
 
 1171 
 
 66 
 
 2 
 
 2274 
 
 42 
 
 2 
 
 4877 
 
 - 9 
 
 4 
 
 1769 
 
 67 
 
 4 
 
 2932 
 
 24 
 
 4 
 
 1046 
 
 59 
 
 4 
 
 2188 
 
 43 
 
 4 
 
 4850 
 
 7 
 
 6 
 
 1903 
 
 67 
 
 6 
 
 2982 
 
 25 
 
 6 
 
 937 
 
 52 
 
 6 
 
 2IOI 
 
 44 
 
 6 
 
 4811 
 
 23 
 
 8 
 
 2037 
 
 67 
 
 8 
 
 3032 
 
 27 
 
 8 
 
 838 
 
 45 
 
 8 
 
 2OI2 
 
 44 
 
 8 
 
 4758 
 
 32 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 1851 
 
 0*02172 
 
 + 68 
 
 1861-0 
 
 0-03088 ' + 29 
 
 1871 O 
 
 0-00757 
 
 -36 
 
 1881 
 
 O-OI927 
 
 -4' 
 
 1891 
 
 0-04683 
 
 -4> 
 
 *2 
 
 2308 
 
 69 
 
 2 
 
 3'4 6 
 
 30 
 
 2 
 
 693 
 
 27 
 
 2 
 
 '847 
 
 39 
 
 2 
 
 4594 
 
 5 
 
 4 
 
 2446 
 
 69 
 
 4 
 
 3206 
 
 32 
 
 4 
 
 646 
 
 20 
 
 4 
 
 1771 
 
 36 
 
 4 
 
 4484 
 
 58 
 
 6 
 
 2584 
 
 69 
 
 6 
 
 3*74 
 
 35 
 
 6 
 
 6,4 
 
 '3 
 
 6 
 
 1703 
 
 32 
 
 6 
 
 4364 
 
 62 
 
 8 
 
 2721 
 
 68 
 
 8 
 
 3346 
 
 35 
 
 8 
 
 600 
 
 - 4 
 
 8 
 
 '<M3 
 
 27 
 
 8 
 
 4236 
 
 68 
 
 18520 
 
 0-02857 
 
 + 68 
 
 1862-0 
 
 0-03411 
 
 + 32 
 
 18720 
 
 0-00599 
 
 + 2 
 
 18820 
 
 o-oi 598 
 
 -19 
 
 18920 
 
 0-04095 
 
 -74 
 
 2 
 
 2992 
 
 6? 
 
 2 
 
 3475 
 
 32 
 
 2 
 
 606 
 
 7 
 
 2 
 
 1567 
 
 1 1 
 
 2 
 
 3943 
 
 78 
 
 4 
 
 3126 
 
 67 
 
 4 
 
 3537 
 
 3i 
 
 4 
 
 628 
 
 13 
 
 4 
 
 '554 
 
 - 4 
 
 4 
 
 3784 
 
 80 
 
 6 
 
 3*59 
 
 66 
 
 6 
 
 3597 
 
 3 
 
 6 
 
 656 
 
 16 
 
 6 
 
 '55> 
 
 + i 
 
 6 
 
 3625 
 
 81 
 
 8 
 
 3389 
 
 63 
 
 8 
 
 3656 
 
 29 
 
 *8 
 
 691 
 
 21 
 
 8 
 
 '557 
 
 8 
 
 8 
 
 34 6 2 
 
 82 
 
 18530 
 
 0-03513 
 
 + 61 
 
 18630 
 
 0-03712 
 
 + 28 
 
 1 873 O 
 
 0-00738 
 
 + 2 5 
 
 18830 
 
 0-01583 
 
 + 17 
 
 1 893 
 
 0-03299 
 
 -80 
 
 2 
 
 3632 
 
 57 
 
 2 
 
 3767 
 
 27 
 
 2 
 
 791 
 
 28 
 
 2 
 
 1624 
 
 24 
 
 2 
 
 3H2 
 
 77 
 
 4 
 
 374' 
 
 53 
 
 4 
 
 3820 
 
 27 
 
 4 
 
 849 
 
 30 
 
 4 
 
 1680 
 
 3' 
 
 4 
 
 2990 
 
 75 
 
 6 
 
 3843 
 
 5 
 
 6 
 
 3872 
 
 25 
 
 6 
 
 909 
 
 3' 
 
 6 
 
 1746 
 
 36 
 
 6 
 
 2842 
 
 72 
 
 8 
 
 3939 
 
 45 
 
 8 
 
 3920 
 
 24 
 
 8 
 
 974 
 
 34 
 
 8 
 
 1820 
 
 4' 
 
 8 
 
 2703 
 
 66 
 
 18540 
 
 0-04021 
 
 + 38 
 
 18640 
 
 0-03969 
 
 + 24 
 
 18740 
 
 0-01044 
 
 + 36 
 
 18840 
 
 0-01910 
 
 + 47 
 
 18940 
 
 0-02580 
 
 -59 
 
 2 
 
 4090 
 
 3i 
 
 2 
 
 4015 
 
 21 
 
 2 
 
 lilt 
 
 37 
 
 2 
 
 2007 
 
 5' 
 
 2 
 
 2469 
 
 53 
 
 4 
 
 4144 
 
 24 
 
 4 
 
 4 52 
 
 17 
 
 4 
 
 i'93 
 
 38 
 
 4 
 
 2113 
 
 55 
 
 4 
 
 2370 
 
 47 
 
 6 
 
 4184 
 
 18 
 
 6 
 
 4085 
 
 16 
 
 6 
 
 1269 
 
 39 
 
 6 
 
 2228 
 
 58 
 
 6 
 
 2280 
 
 44 
 
 8 
 
 4*'4 
 
 ii 
 
 8 
 
 4115 
 
 13 
 
 8 
 
 1350 
 
 4' 
 
 8 
 
 2344 
 
 59 
 
 8 
 
 2198 
 
 36 
 
 18550 
 
 0-04227 
 
 + 2 
 
 18650 
 
 0-04137 
 
 + 10 
 
 18750 
 
 0-01431 
 
 + 41 
 
 18850 
 
 0-02464 
 
 + 61 
 
 1 895 
 
 0-02135 
 
 -28 
 
 2 
 
 4223 
 
 - 6 
 
 2 
 
 4'53 
 
 + 5 
 
 *2 
 
 '5'3 
 
 42 
 
 2 
 
 2586 
 
 62 
 
 2 
 
 2084 
 
 20 
 
 4 
 
 4202 
 
 '5 
 
 4 
 
 4156 
 
 o 
 
 *4 
 
 1597 
 
 43 
 
 4 
 
 2713 
 
 63 
 
 4 
 
 2051 
 
 15 
 
 6 
 
 4166 
 
 21 
 
 6 
 
 4'53 
 
 - 2 
 
 6 
 
 1683 
 
 44 
 
 6 
 
 2838 
 
 63 
 
 6 
 
 2026 
 
 12 
 
 8 
 
 4118 
 
 28 
 
 8 
 
 4H3 
 
 10 
 
 8 
 
 "773 
 
 45 
 
 8 
 
 2963 
 
 63 
 
 8 
 
 2008 
 
 6 
 
 18560 
 
 0-04055 
 
 -34 
 
 18660 
 
 0*04116 
 
 -16 
 
 18760 
 
 0*01865 
 
 + 46 
 
 18860 
 
 0-03090 
 
 + 63 
 
 1896*0 
 
 0-O2OO2 
 
 - z 
 
 2 
 
 3982 
 
 4 
 
 2 
 
 475 
 
 25 
 
 2 
 
 '954 
 
 45 
 
 2 
 
 3215 
 
 63 
 
 2 
 
 2OO2 
 
 + I 
 
 4 
 
 3895 
 
 45 
 
 4 
 
 4017 
 
 32 
 
 4 
 
 2042 
 
 44 
 
 4 
 
 334 
 
 62 
 
 4 
 
 2OO8 
 
 6 
 
 6 
 
 3802 
 
 47 
 
 6 
 
 395 
 
 37 
 
 6 
 
 2130 
 
 43 
 
 6 
 
 3462 61 
 
 6 
 
 2024 
 
 JO 
 
 8 
 
 3706 
 
 49 
 
 8 
 
 3870 
 
 45 
 
 8 
 
 2215 
 
 42 
 
 8 
 
 3583 
 
 60 
 
 8 
 
 2044 
 
 JO 
 
 18570 
 
 0-03606 
 
 -5' 
 
 1867 
 
 0-03773 
 
 -S 1 
 
 1877*0 
 
 0-02296 
 
 + 39 
 
 1887-0 
 
 0-03703 
 
 + 59 
 
 18970 
 
 0*02066 
 
 + II 
 
 2 
 
 35* 
 
 5* 
 
 2 
 
 3662 
 
 61 
 
 2 
 
 2369 
 
 35 
 
 2 
 
 3819 
 
 57 
 
 2 
 
 2089 
 
 13 
 
 4 
 
 3398 
 
 5' 
 
 4 
 
 3529 
 
 69 
 
 4 
 
 2436 
 
 32 
 
 4 
 
 3932 
 
 56 
 
 4 
 
 21 l6 
 
 15 
 
 6 
 
 3300 
 
 4 ? 
 
 6 
 
 3388 
 
 73 
 
 6 
 
 2498 
 
 29 
 
 6 
 
 4044 
 
 55 
 
 6 
 
 2147 
 
 15 
 
 8 
 
 3*3 
 
 46 
 
 8 
 
 3238 
 
 79 
 
 8 
 
 2552 
 
 24 
 
 8 
 
 4152 
 
 54 
 
 8 
 
 2175 
 
 '4 
 
 1 858 
 
 0-031 17 
 
 -4 1 
 
 1 868 
 
 0-03075 
 
 -84 
 
 18780 
 
 0-02595 
 
 + 20 
 
 18880 
 
 0-04259 
 
 + 52 
 
 18980 
 
 0-02204 
 
 + 15 
 
 2 
 
 3045 
 
 33 
 
 2 
 
 2903 
 
 88 
 
 2 
 
 2625 
 
 12 
 
 2 
 
 4362 
 
 5 
 
 *2 
 
 2235 
 
 16 
 
 4 
 
 2985 
 
 29 
 
 4 
 
 2721 
 
 9 1 
 
 4 
 
 2641 
 
 5 
 
 4 
 
 4458 
 
 46 
 
 4 
 
 2266 
 
 16 
 
 6 
 
 2926 
 
 29 
 
 6 
 
 2538 
 
 93 
 
 6 
 
 2648 
 
 + 2 
 
 6 
 
 4546 
 
 43 
 
 6 
 
 2298 
 
 16 
 
 8 
 
 2871 
 
 25 
 
 8 
 
 2349 
 
 94 
 
 8 
 
 2647 
 
 r 
 
 8 
 
 4630 
 
 39 
 
 8 
 
 2328 
 
 '5 
 
 18590 
 
 0-02835 
 
 -14 
 
 18690 
 
 O'O2l6l 
 
 -93 
 
 1879 
 
 0-02628 
 
 - '3 
 
 18890 
 
 0-04702 
 
 + 34 
 
 18990 
 
 0-02360 
 
 + i5 
 
 2 
 
 2814 
 
 8 
 
 2 
 
 1978 
 
 9 1 
 
 2 
 
 2595 
 
 20 
 
 2 
 
 4764 
 
 28 
 
 2 
 
 2390 
 
 1 8 
 
 4 
 
 2803 
 
 - i 
 
 4 
 
 1799 
 
 88 
 
 4 
 
 2547 
 
 25 
 
 4 
 
 4816 
 
 23 
 
 4 
 
 2422 
 
 16 
 
 6 
 
 2809 
 
 + 6 
 
 6 
 
 1626 
 
 84 
 
 6 
 
 2494 
 
 29 
 
 6 
 
 4857 
 
 16 
 
 6 
 
 2452 
 
 15 
 
 8 
 
 2827 
 
 ii 
 
 8 
 
 1462 
 
 79 
 
 8 
 
 2430 
 
 35 
 
 8 
 
 4878 
 
 + 7 
 
 8 
 
 2483 
 
 5 
 
 18600 
 
 0*02852 
 
 + '5 
 
 18700 
 
 0-01310 
 
 -73 
 
 18800 
 
 0-02354 
 
 -39 
 
 18900 
 
 0-04885 
 
 
 
 19000 
 
 0-02512 
 
 + 14 
 
 Applied Constant : +o"'o26oo. 
 106 
 
SATELLITE II 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XXVII continued Equation of Longitude Argument P 
 
 I 
 
 2 
 
 3 
 
 
 
 z 
 
 3 
 
 i 
 
 2 
 
 3 
 
 I 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 P 
 
 Equation 
 
 A 
 
 oy-i 
 
 P 
 
 Equation 
 
 A 
 OJ"I 
 
 P 
 
 Equation 
 
 A 
 07 'I 
 
 P 
 
 Equation 
 
 A 
 0?-! 
 
 P 
 
 Equation 
 
 A 
 
 oy-i 
 
 
 o 
 
 
 
 o 
 
 
 
 
 
 
 
 o 
 
 
 
 o 
 
 
 19000 
 
 0-OZ5U 
 
 *4 
 
 19100 
 
 0-01455 
 
 + 64 
 
 1 9200 
 
 0-02801 
 
 + 32 
 
 1 9300 
 
 0-00816 
 
 -5' 
 
 19400 
 
 0-01546 
 
 -46 
 
 2 
 
 2539 
 
 '3 
 
 2 
 
 1584 
 
 65 
 
 2 
 
 2769 
 
 35 
 
 2 
 
 722 
 
 42 
 
 2 
 
 H54 
 
 45 
 
 4 
 
 2562 
 
 10 
 
 4 
 
 1714 
 
 65 
 
 4 
 
 2842 
 
 37 
 
 4 
 
 649 
 
 34 
 
 4 
 
 1365 
 
 43 
 
 6 
 
 2579 
 
 8 
 
 6 
 
 1845 
 
 66 
 
 6 
 
 2917 
 
 38 
 
 6 
 
 586 
 
 28 
 
 6 
 
 1282 
 
 40 
 
 8 
 
 2 594 
 
 6 
 
 8 
 
 1978 
 
 66 
 
 8 
 
 2992 
 
 37 
 
 8 
 
 536 
 
 21 
 
 8 
 
 1204 
 
 36 
 
 1901 
 
 0-02604. 
 
 + 2 
 
 1911 
 
 O'O2I IO 
 
 + 67 
 
 1921 
 
 0-03065 
 
 + 38 
 
 1931 
 
 0-00502 
 
 -'3 
 
 1941 
 
 o-oi 138 
 
 -30 
 
 2 
 
 2604 
 
 - 2 
 
 '2 
 
 2245 
 
 67 
 
 2 
 
 3141 
 
 37 
 
 2 
 
 486 
 
 6 
 
 2 
 
 1084 
 
 23 
 
 4- 
 
 2596 
 
 6 
 
 4 
 
 2376 
 
 66 
 
 4 
 
 3216 
 
 36 
 
 4 
 
 479 
 
 I 
 
 4 
 
 1046 
 
 16 
 
 6 
 
 2579 
 
 ii 
 
 6 
 
 2509 
 
 66 
 
 6 
 
 3287 
 
 36 
 
 6 
 
 483 
 
 + 4 
 
 6 
 
 1019 
 
 ii 
 
 8 
 
 2552 
 
 18 
 
 8 
 
 2640 
 
 65 
 
 8 
 
 3359 
 
 35 
 
 8 
 
 495 
 
 9 
 
 8 
 
 IO02 
 
 - 5 
 
 1 902 
 
 0-02507 
 
 -25 
 
 1912-0 
 
 0-02768 
 
 + 63 
 
 1 922 
 
 0-03430 
 
 + 35 
 
 I 9320 
 
 0-00519 
 
 + 14 
 
 1 942 
 
 O'OIOOI 
 
 + 4 
 
 2 
 
 2452 
 
 3 
 
 2 
 
 2893 
 
 61 
 
 2 
 
 3500 
 
 34 
 
 2 
 
 SS 2 
 
 '9 
 
 2 
 
 1018 
 
 '3 
 
 4 
 
 2387 
 
 35 
 
 4 
 
 33 
 
 59 
 
 4 
 
 3564 
 
 32 
 
 4 
 
 593 
 
 21 
 
 4 
 
 1052 
 
 20 
 
 6 
 
 2311 
 
 43 
 
 6 
 
 3127 
 
 56 
 
 6 
 
 3629 
 
 32 
 
 6 
 
 639 
 
 24 
 
 6 
 
 1099 
 
 26 
 
 8 
 
 2217 
 
 5 
 
 8 
 
 3238 
 
 53 
 
 a 
 
 3690 
 
 30 
 
 8 
 
 689 
 
 26 
 
 8 
 
 1 156 
 
 32 
 
 19030 
 
 O'O2I 12 
 
 -55 
 
 19130 
 
 0-03339 
 
 + 48 
 
 19230 
 
 0-03747 
 
 + 29 
 
 1 9330 
 
 0-00743 
 
 + 28 
 
 19430 
 
 0-01230 
 
 + 40 
 
 2 
 
 1998 
 
 61 
 
 2 
 
 343 
 
 4i 
 
 2 
 
 3807 
 
 28 
 
 2 
 
 801 
 
 3 
 
 2 
 
 1316 
 
 46 
 
 4 
 
 1869 
 
 65 
 
 4 
 
 3503 
 
 35 
 
 4 
 
 3860 
 
 25 
 
 4 
 
 862 
 
 3' 
 
 4 
 
 1415 
 
 5 
 
 6 
 
 738 
 
 68 
 
 6 
 
 3569 
 
 3i 
 
 6 
 
 3908 
 
 23 
 
 6 
 
 924 
 
 31 
 
 6 
 
 1517 
 
 53 
 
 8 
 
 '599 
 
 72 
 
 8 
 
 3626 
 
 24 
 
 8 
 
 3952 
 
 21 
 
 8 
 
 986 
 
 33 
 
 8 
 
 1627 
 
 57 
 
 1904/0 
 
 0-01451 
 
 -73 
 
 1914-0 
 
 0-03664 
 
 + '5 
 
 1 924 
 
 0-03992 
 
 + 18 
 
 19340 
 
 0-01055 
 
 + 35 
 
 19440 
 
 0-01745 
 
 + 61 
 
 2 
 
 '35 
 
 74 
 
 2 
 
 3686 
 
 + 6 
 
 2 
 
 4025 
 
 15 
 
 2 
 
 1127 
 
 36 
 
 2 
 
 1869 
 
 63 
 
 4 
 
 "54 
 
 75 
 
 4 
 
 3689 
 
 i 
 
 4 
 
 4051 
 
 ii 
 
 4 
 
 1 200 
 
 37 
 
 4 
 
 1998 
 
 65 
 
 6 
 
 100; 
 
 73 
 
 6 
 
 3682 
 
 5 
 
 6 
 
 4070 
 
 8 
 
 6 
 
 1274 
 
 37 
 
 6 
 
 2130 
 
 65 
 
 8 
 
 861 
 
 7 
 
 8 
 
 3665 
 
 13 
 
 8 
 
 4081 
 
 + 2 
 
 8 
 
 1349 
 
 38 
 
 8 
 
 2259 
 
 66 
 
 19050 
 
 0-00726 
 
 -66 
 
 19150 
 
 0-03630 
 
 -21 
 
 19250 
 
 o 4 O4O78 
 
 - 4 
 
 1 9350 
 
 0-01424 
 
 + 38 
 
 19450 
 
 0-02393 
 
 + 67 
 
 2 
 
 599 
 
 61 
 
 2 
 
 3582 
 
 29 
 
 2 
 
 4065 
 
 ii 
 
 2 
 
 1501 
 
 39 
 
 2 
 
 2526 
 
 66 
 
 4 
 
 483 
 
 55 
 
 4 
 
 3516 
 
 34 
 
 4 
 
 4034 
 
 ll 
 
 4 
 
 1578 
 
 39 
 
 4 
 
 2658 
 
 66 
 
 6 
 
 379 
 
 5 
 
 '8 3447 
 
 37 
 
 6 
 
 3992 
 
 23 
 
 6 
 
 1656 
 
 39 
 
 6 
 
 2790 
 
 67 
 
 8 
 
 284 
 
 42 
 
 8 3367 
 
 43 
 
 8 
 
 3938 
 
 3' 
 
 8 
 
 '733 
 
 38 
 
 8 
 
 2925 
 
 66 
 
 1 906 
 
 O'OO2IO 
 
 -34 
 
 1916O 0-03275 
 
 -48 
 
 1 926 
 
 0-03871 
 
 -39 
 
 19360 
 
 0-01807 
 
 + 37 
 
 1 946 
 
 0-03054 
 
 + 65 
 
 2 
 
 IJO 
 
 25 
 
 2 ; 3180 
 
 48 
 
 2 
 
 3786 
 
 49 
 
 2 
 
 1879 
 
 36 
 
 2 
 
 3184 
 
 64 
 
 4 
 
 I 12 
 
 16 
 
 4 3084 48 
 
 4 
 
 3679 
 
 56 
 
 4 
 
 1950 
 
 34 
 
 4 
 
 3309 
 
 63 
 
 6 
 
 87 
 
 - 9 
 
 6 2990 
 
 47 
 
 6 
 
 3561 
 
 ll 
 
 6 
 
 2015 
 
 3' 
 
 6 
 
 3437 
 
 64 
 
 8 
 
 77 
 
 
 
 8 2897 
 
 46 
 
 8 
 
 3433 
 
 68 
 
 8 
 
 2073 
 
 27 
 
 8 
 
 3563 
 
 62 
 
 1907 
 
 o - ooo86 
 
 + 7 
 
 1917-O 0-02807 
 
 -43 
 
 19270 
 
 0-03289 
 
 -75 
 
 1937 
 
 O-O2I22 
 
 + 21 
 
 19470 
 
 0-03684 
 
 + 60 
 
 2 
 
 1 06 
 
 '5 
 
 2 
 
 2722 
 
 40 
 
 2 
 
 3133 
 
 80 
 
 2 
 
 2158 
 
 16 
 
 2 
 
 3802 
 
 58 
 
 4 
 
 46 
 
 4 
 
 4 
 
 2648 
 
 35 
 
 4 
 
 2968 
 
 86 
 
 4 
 
 2184 
 
 ii 
 
 4 
 
 3916 
 
 56 
 
 6 
 
 200 
 
 29 
 
 6 
 
 2582 
 
 3' 
 
 6 
 
 2790 
 
 92 
 
 6 
 
 22OO 
 
 + 7 
 
 6 
 
 4026 
 
 54 
 
 8 
 
 262 
 
 34 
 
 8 
 
 2526 25 
 
 8 
 
 2607 
 
 93 
 
 8 
 
 221O 
 
 o 
 
 8 
 
 433 
 
 52 
 
 1908 
 
 0-00337 
 
 + 41 
 
 1918'D 0-02483 - 18 
 
 1 928 
 
 0-02410 
 
 -95 
 
 1 938-0 
 
 0-02201 
 
 - 7 
 
 1948-0 
 
 0-04232 
 
 + 47 
 
 2 
 
 425 
 
 46 
 
 2 2454 II 
 
 2 
 
 2229 
 
 95 
 
 2 
 
 2181 
 
 H 
 
 2 
 
 4321 
 
 4' 
 
 4 
 
 520 
 
 49 
 
 4 2441 - 4 
 
 4 
 
 2041 
 
 94 
 
 4 
 
 2146 
 
 20 
 
 4 
 
 4397 
 
 36 
 
 6 
 
 620 
 
 52 
 
 6 2437 
 
 o 
 
 6 
 
 i855 
 
 92 
 
 6 
 
 2IOI 
 
 26 
 
 6 
 
 4466 
 
 34 
 
 8 
 
 727 
 
 55 
 
 8 2443 
 
 + 7 
 
 8 
 
 1673 
 
 89 
 
 8 
 
 2042 
 
 3' 
 
 8 
 
 4530 
 
 28 
 
 1 909 
 
 0*00840 
 
 + 58 
 
 19190 
 
 0-02463 
 
 + '3 
 
 1 929-O 
 
 0-01501 
 
 -84 
 
 19390 
 
 O-OI978 
 
 -36 
 
 19490 
 
 0-04579 
 
 + 19 
 
 2 
 
 959 
 
 60 
 
 2 j 2493 
 
 ii 
 
 2 
 
 '339 
 
 77 
 
 2 
 
 I9OO 
 
 40 
 
 2 
 
 4610 
 
 10 
 
 4 
 
 1078 
 
 61 
 
 4 
 
 2535 
 
 *3 
 
 4 
 
 1 192 
 
 7i 
 
 4 
 
 1818 
 
 42 
 
 4 
 
 4620 
 
 + 2 
 
 6 
 
 I2O1 
 
 62 
 
 6 
 
 2583 
 
 26 
 
 6 
 
 1052 
 
 67 
 
 6 
 
 1730 
 
 45 
 
 6 
 
 4619 
 
 - 3 
 
 8 
 
 1326 
 
 63 
 
 8 
 
 2639 
 
 29 
 
 8 
 
 9*4 
 
 59 
 
 8 
 
 1639 
 
 46 
 
 8 
 
 4608 
 
 1 1 
 
 19100 
 
 0-01455 
 
 + 64 
 
 19200 
 
 0-02801 
 
 + 3* 
 
 1 9300 
 
 0-008 1 6 
 
 -5' 
 
 1 940 O 
 
 0-01546 
 
 -46 
 
 19500 
 
 0-04575 
 
 - 21 
 
 Applied Constant : +o'-oa6oo. 
 107 
 
SATELLITE II 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 Equation of Longitude Argument P 
 
 XXVII continued 
 
 I 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 I 
 
 2 
 
 3 
 
 I 2 
 
 3 
 
 P 
 
 Equation 
 
 A 
 
 P 
 
 Equation 
 
 A 
 
 P 
 
 Equation 
 
 A 
 
 P 
 
 Equation 
 
 A 
 
 P Equation 
 
 A 
 
 
 o 
 
 
 
 o 
 
 
 o 
 
 
 
 o 
 
 
 
 o 
 
 
 1 9500 
 
 0-04575 
 
 - 21 
 
 19600 
 
 0-02849 + 8 
 
 19700 
 
 0-01941 
 
 + 6 5 
 
 1 980 
 
 0-03232 
 
 + 43 
 
 1 9900 
 
 o-oi 183 
 
 -25 
 
 2 
 
 4524 
 
 2 9 
 
 2 
 
 2862 ; + 5 
 
 2 
 
 2070 
 
 65 
 
 2 
 
 3320 
 
 44 
 
 2 
 
 1140 
 
 17 
 
 4 
 
 4458 
 
 38 
 
 4 
 
 2867 o 
 
 4 
 
 2199 
 
 66 
 
 4 
 
 3409 
 
 44 
 
 4 
 
 1 114 
 
 10 
 
 6 
 
 4374 
 
 44 
 
 6 
 
 2862 - 4 
 
 6 
 
 2332 
 
 66 
 
 6 
 
 3496 
 
 43 
 
 6 
 
 1099 
 
 - 6 
 
 8 
 
 4279 
 
 S 2 
 
 8 
 
 2851 
 
 9 
 
 8 
 
 2462 
 
 64 
 
 8 
 
 358" 
 
 42 
 
 8 
 
 1092 
 
 o 
 
 1 951 
 
 0-04167 
 
 -59 
 
 1961-0 
 
 0-02826 
 
 -16 
 
 1971 
 
 0-02589 
 
 + 64 
 
 1 981 
 
 0-03665 
 
 + 42 
 
 1991 0-01099 
 
 + 6 
 
 2 
 
 4046 
 
 63 
 
 2 
 
 2789 22 
 
 2 
 
 2718 
 
 64 
 
 2 
 
 3749 
 
 4 1 
 
 2 1114 
 
 1 1 
 
 4 
 
 39-4 
 
 68 
 
 4 
 
 2739; 27 
 
 4 
 
 2843 
 
 62 
 
 4 
 
 3828 
 
 39 
 
 4 1142 
 
 '5 
 
 6 
 
 3775 
 
 71 
 
 6 
 
 2681 33 
 
 6 
 
 2965 
 
 61 
 
 6 
 
 395 
 
 39 
 
 6 ! 1174 
 
 17 
 
 8 
 
 3631 
 
 73 
 
 8 
 
 2607 ! 40 
 
 8 
 
 3087 
 
 58 
 
 8 
 
 3982 
 
 38 
 
 8 I * 10 
 
 '9 
 
 19520 
 
 0-03483 
 
 -74 
 
 1 962-0 
 
 0-02520 -47 
 
 1972-0 
 
 0-03197 i + 53 
 
 1 982 
 
 0-04058 
 
 + 37 
 
 1992'O , 0-01250 
 
 + 23 
 
 2 
 
 3335 
 
 74 
 
 2 
 
 2418 
 
 55 
 
 2 
 
 3301 
 
 5 
 
 2 
 
 4129 
 
 35 
 
 2 
 
 1301 
 
 26 
 
 4 
 
 3188 
 
 72 
 
 4 
 
 2299 
 
 61 
 
 4 
 
 3397 
 
 45 
 
 4 
 
 
 33 
 
 4 
 
 >355 
 
 26 
 
 6 
 
 347 
 
 70 
 
 6 
 
 2176 
 
 63 
 
 6 
 
 3482 
 
 
 6 
 
 4262 
 
 32 
 
 6 
 
 1406 
 
 26 
 
 8 
 
 2908 
 
 67 
 
 8 
 
 2049 
 
 67 
 
 8 
 
 3559 
 
 35 
 
 8 
 
 4324 
 
 3 
 
 8 
 
 1462 
 
 28 
 
 1 9530 
 
 0-02778 
 
 -62 
 
 19630 
 
 0-01908 
 
 -73 
 
 19730 
 
 0-03621 
 
 + 27 
 
 19830 
 
 0-04383 
 
 + 28 
 
 1 9930 
 
 0-01518 
 
 + 30 
 
 2 
 
 2662 
 
 56 
 
 2 
 
 '759 
 
 75 
 
 2 
 
 3669 19 
 
 2 
 
 4436 
 
 25 
 
 2 
 
 1582 
 
 32 
 
 4 
 
 2554 
 
 51 
 
 4 
 
 1607 
 
 76 
 
 4 
 
 3697 12 
 
 4 
 
 4482 
 
 22 
 
 4 
 
 1645 
 
 32 
 
 6 
 
 2459 
 
 45 
 
 6 
 
 '455 
 
 77 
 
 6 
 
 37-7 
 
 7 
 
 6 
 
 4522 
 
 '9 
 
 6 
 
 1709 
 
 32 
 
 8 
 
 2373 
 
 40 
 
 8 
 
 1*99 
 
 76 
 
 8 
 
 3725 
 
 + i 
 
 8 
 
 455 6 
 
 H 
 
 8 
 
 '774 
 
 33 
 
 19540 
 
 0*02302 
 
 -34 
 
 1 964-0 
 
 0-01148 
 
 -74 
 
 19740 
 
 0-03720 
 
 - 9 
 
 19840 
 
 0-04579 
 
 + 9 
 
 1 994 O 
 
 0-01840 
 
 + 35 
 
 2 
 
 2241 
 
 25 
 
 2 
 
 IOOI 
 
 71 
 
 2 
 
 3692 
 
 
 2 
 
 4593 
 
 + 3 
 
 2 
 
 1915 
 
 37 
 
 4 
 
 2200 
 
 18 
 
 4 
 
 863 
 
 67 
 
 4 
 
 3652 
 
 22 
 
 4 
 
 459 1 
 
 - 3 
 
 4 
 
 1986 
 
 36 
 
 6 
 
 2170 
 
 4 
 
 6 
 
 735 
 
 62 
 
 6 
 
 3604 
 
 27 
 
 6 
 
 4580 
 
 10 
 
 6 
 
 2057 
 
 35 
 
 8 
 
 2148 
 
 9 
 
 8 
 
 614 
 
 56 
 
 8 
 
 3546 
 
 33 
 
 8 
 
 4553 
 
 16 
 
 8 
 
 2125 
 
 35 
 
 19550 
 
 O-O2I35 
 
 - 5 
 
 19650 
 
 0-0051 1 
 
 -49 
 
 19750 
 
 0-03474 
 
 -38 
 
 1 985 O 
 
 0-04516 
 
 -23 
 
 1 995-O 
 
 0-02197 
 
 + 36 
 
 2 
 
 2130 
 
 - i 
 
 2 
 
 420 
 
 4' 
 
 2 
 
 339 6 
 
 
 2 
 
 4461 
 
 33 
 
 2 
 
 2268 
 
 34 
 
 4 
 
 2IJ2 
 
 + 4 
 
 4 
 
 348 
 
 33 
 
 4 
 
 339 
 
 44 
 
 4 
 
 4386 
 
 40 
 
 4 
 
 2333 
 
 32 
 
 6 
 
 2146 
 
 10 
 
 6 
 
 290 26 
 
 6 
 
 3222; 44 
 
 6 
 
 4300 
 
 46 
 
 "6 
 
 2396 
 
 
 8 
 
 ZI7I 
 
 '4 
 
 8 
 
 246 17 
 
 8 
 
 3'33 45 
 
 8 
 
 4202 
 
 54 
 
 8 
 
 2456 
 
 28 
 
 1 956 O 
 
 O-O22OO 
 
 + 14 
 
 19660 
 
 O'OO222 
 
 - 8 
 
 19760 
 
 0-03044 
 
 -43 
 
 1 986 
 
 0-04086 
 
 -62 
 
 1996 
 
 0-02508 
 
 + 24 
 
 2 
 
 2228 
 
 '5 
 
 2 
 
 213 
 
 + i 
 
 2 
 
 2961 
 
 40 
 
 2 
 
 3955 
 
 70 
 
 2 
 
 2553 
 
 20 
 
 4 
 
 226o 
 
 '7 
 
 4 
 
 226 
 
 9 
 
 4 
 
 2884 
 
 37 
 
 4 
 
 3807 
 
 76 
 
 4 
 
 2589 
 
 '5 
 
 6 
 
 2294 
 
 '7 
 
 6 
 
 249 
 
 15 
 
 6 
 
 2812 
 
 34 
 
 6 
 
 365' 
 
 80 
 
 6 
 
 2613 
 
 ii 
 
 8 
 
 2328 
 
 18 
 
 8 
 
 284 
 
 21 
 
 8 
 
 2748 
 
 29 
 
 8 
 
 3487 
 
 85 
 
 8 
 
 2633 
 
 + 6 
 
 19570 
 
 0-02365 
 
 + 18 
 
 1967 
 
 0-OO335 
 
 + 28 
 
 1977 
 
 0-02696 
 
 -24 
 
 1 987-0 
 
 0-03314 
 
 -89 
 
 1997 O 
 
 0-02638 
 
 - i 
 
 2 
 
 2399 
 
 18 
 
 2 
 
 39 6 
 
 35 
 
 2 
 
 2652 
 
 18 
 
 2 
 
 3133 
 
 9 2 
 
 2 
 
 2630 
 
 8 
 
 4 
 
 2436 
 
 it 
 
 4 
 
 473 
 
 40 
 
 4 
 
 2626 
 
 10 
 
 4 
 
 2948 
 
 9* 
 
 4 
 
 2606 
 
 15 
 
 6 
 
 2473 
 
 '9 
 
 6 
 
 556 
 
 43 
 
 6 
 
 2612 
 
 - 5 
 
 6 
 
 2765 
 
 9* 
 
 6 
 
 2573 
 
 '9 
 
 8 
 
 2510 
 
 ll 
 
 8 
 
 646 
 
 48 
 
 8 
 
 2606 
 
 + i 
 
 8 
 
 2581 
 
 9' 
 
 8 
 
 2532 
 
 25 
 
 1 958 O 
 
 0-02545 
 
 + 17 
 
 1 968-0 
 
 0-00747 
 
 + 5 1 
 
 1978-0 
 
 0-02618 
 
 + 8 
 
 1 988 
 
 0-02400 
 
 -90 
 
 1 998 
 
 0-02474 
 
 -32 
 
 2 
 
 2578 
 
 '7 
 
 2 
 
 851 
 
 54 
 
 2 
 
 2641 
 
 16 
 
 2 
 
 2223 
 
 86 
 
 2 
 
 2406 
 
 37 
 
 4 
 
 2614 
 
 18 
 
 4 
 
 962 
 
 56 
 
 4 
 
 2680 
 
 21 
 
 4 
 
 2058 
 
 80 
 
 4 
 
 2326 
 
 
 6 
 
 2651 
 
 18 
 
 6 
 
 1076 
 
 58 
 
 6 
 
 2724 
 
 2 4 
 
 6 
 
 1902 
 
 76 
 
 6 
 
 2242 
 
 44 
 
 8 
 
 2686 
 
 17 
 
 8 
 
 1194 
 
 59 
 
 8 
 
 2777 
 
 29 
 
 8 
 
 1753 
 
 7' 
 
 8 
 
 2150 
 
 46 
 
 19590 
 
 0-0272I 
 
 + 16 
 
 19690 
 
 0-01314 
 
 + 61 
 
 19790 
 
 0-02839 
 
 + 32 
 
 19890 
 
 0-01621 
 
 -62 
 
 19990 
 
 0-02058 
 
 -48 
 
 2 
 
 2752 
 
 15 
 
 2 
 
 H37 
 
 61 
 
 2 
 
 2906 
 
 3 6 
 
 2 
 
 1505 
 
 54 
 
 2 
 
 1958 
 
 49 
 
 4 
 
 2781 
 
 '5 
 
 4 
 
 1558 
 
 62 
 
 4 
 
 2982 
 
 39 
 
 4 
 
 1406 
 
 47 
 
 4 
 
 1863 
 
 47 
 
 6 
 
 2810 
 
 '3 
 
 6 
 
 1683 
 
 64 
 
 6 
 
 3062 
 
 
 6 
 
 1318 
 
 4' 
 
 6 
 
 1771 
 
 47 
 
 8 
 
 2832 
 
 10 
 
 8 
 
 1812 
 
 65 
 
 8 
 
 3H7 
 
 43 
 
 8 
 
 1241 
 
 34 
 
 8 
 
 1677 
 
 46 
 
 19600 
 
 0-02849 
 
 + 8 
 
 1 9700 
 
 0-01941 
 
 + 65 
 
 1 980 
 
 0-03232 
 
 + 43 
 
 1 9900 
 
 0-01183 
 
 -25 
 
 20000 
 
 0-01589 
 
 -44 
 
 Applied Constant : +o-o26oo. 
 icS 
 
SATELLITE II 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XXVIII Equation of Longitude Argument Q 
 
 I 
 
 2 
 
 3 
 
 4 
 
 I 
 
 2 
 
 3 
 
 4 
 
 I 
 
 2 
 
 3 
 
 4 
 
 i 
 
 2 
 
 3 
 
 4 
 
 Q 
 
 Equa- 
 tion 
 
 A 
 
 JA3 
 
 Q 
 
 Equa 
 tion 
 
 A 
 
 iA 
 
 Q 
 
 Equa- 
 tion 
 
 A 
 
 A* 
 
 Q 
 
 Equa- 
 tion 
 
 A 
 
 |A 
 
 d 
 000 
 
 o 
 
 0-04400 
 
 -'47 
 
 o 
 
 d 
 
 050 
 
 o 
 
 0*00323 
 
 + 29 
 
 + 2 
 
 d 
 
 1 00 
 
 
 
 0-06008 
 
 + 136 
 
 - I 
 
 d 
 
 1 50 
 
 o 
 
 0-07843 
 
 - 83 
 
 - 3 
 
 01 
 
 4253 
 
 '47 
 
 o 
 
 51 
 
 354 
 
 34 
 
 3 
 
 01 
 
 6143 
 
 '34 
 
 2 
 
 51 
 
 7758 
 
 87 
 
 2 
 
 02 
 
 4106 
 
 47 
 
 o 
 
 52 
 
 39' 
 
 40 
 
 3 
 
 02 
 
 6275 
 
 '32 
 
 i 
 
 52 
 
 7669 
 
 9' 
 
 2 
 
 O3 
 
 3959 
 
 '47 
 
 o 
 
 53 
 
 433 
 
 44 
 
 2 
 
 03 
 
 6406 
 
 129 
 
 2 
 
 53 
 
 7576 
 
 95 
 
 2 
 
 04 
 
 38i3 
 
 146 
 
 
 
 54 
 
 479 
 
 49 
 
 3 
 
 O4 
 
 6533 
 
 126 
 
 I 
 
 54 
 
 7479 
 
 99 
 
 2 
 
 O5 
 
 3668 
 
 '45 
 
 o 
 
 55 
 
 53' 
 
 54 
 
 2 
 
 05 
 
 6658 
 
 124 
 
 2 
 
 55 
 
 7378 
 
 i3 
 
 2 
 
 006 
 
 0-035*4 
 
 -144 
 
 o 
 
 0-56 
 
 0-00587 
 
 + 59 
 
 + 3 
 
 1 06 
 
 0-06780 
 
 + 121 
 
 - I 
 
 1-56 
 
 0-07274 
 
 - 1 06 
 
 2 
 
 07 
 
 338o 
 
 '43 
 
 + 
 
 57 
 
 648 
 
 64 
 
 3 
 
 07 
 
 6900 
 
 118 
 
 2 
 
 57 
 
 7166 
 
 I IO 
 
 2 
 
 OS 
 
 3238 
 
 141 
 
 
 58 
 
 7'4 
 
 69 
 
 3 
 
 08 
 
 7016 
 
 "5 
 
 2 
 
 58 
 
 754 
 
 114 
 
 2 
 
 09 
 
 3098 
 
 140 
 
 
 59 
 
 785 
 
 73 
 
 2 
 
 09 
 
 7129 
 
 ii i 
 
 2 
 
 59 
 
 6939 
 
 117 
 
 2 
 
 10 
 
 2959 
 
 J38 
 
 
 60 
 
 860 
 
 77 
 
 2 
 
 10 
 
 7238 
 
 108 
 
 2 
 
 6O 
 
 6821 
 
 1 20 
 
 2 
 
 O11 
 
 0-02822 
 
 -136 
 
 + 
 
 061 
 
 0-00939 
 
 + 82 
 
 + 3 
 
 1-11 
 
 0-07344 
 
 + 104 
 
 - 2 
 
 1-61 
 
 0-06700 
 
 -123 
 
 - 2 
 
 12 
 
 2687 
 
 '34 
 
 
 62 
 
 1023 
 
 86 
 
 2 
 
 12 
 
 7446 
 
 IOO 
 
 2 
 
 62 
 
 6576 
 
 126 
 
 2 
 
 13 
 
 2554 
 
 132 
 
 
 63 
 
 mi 
 
 9 
 
 2 
 
 13 
 
 7544 
 
 96 
 
 2 
 
 63 
 
 6449 
 
 128 
 
 I 
 
 14 
 
 2423 
 
 130 
 
 2 
 
 64 
 
 1203 
 
 94 
 
 2 
 
 14 
 
 7638 
 
 93 
 
 2 
 
 64 
 
 6320 
 
 '3' 
 
 2 
 
 15 
 
 2295 
 
 127 
 
 I 
 
 65 
 
 1299 
 
 98 
 
 2 
 
 15 
 
 7729 
 
 89 
 
 3 
 
 65 
 
 6188 
 
 '33 
 
 I 
 
 0-16 
 
 0-02169 
 
 -125 
 
 + 2 
 
 66 
 
 0-01399 
 
 + IO2 
 
 + 2 
 
 1-16 
 
 0-07815 
 
 + 84 
 
 - 2 
 
 1-66 
 
 0-06054 
 
 -'35 
 
 _ 
 
 17 
 
 2046 
 
 122 
 
 2 
 
 67 
 
 1503 
 
 1 06 
 
 2 
 
 17 
 
 7897 
 
 80 
 
 3 
 
 67 
 
 59'8 
 
 '37 
 
 
 18 
 
 1926 
 
 118 
 
 2 
 
 68 
 
 1010 
 
 IO9 
 
 2 
 
 18 
 
 7974 
 
 75 
 
 2 
 
 68 
 
 5780 
 
 '39 
 
 
 19 
 
 1810 
 
 "5 
 
 I 
 
 69 
 
 1721 
 
 "3 
 
 2 
 
 19 
 
 8047 
 
 7' 
 
 2 
 
 69 
 
 5640 
 
 141 
 
 
 20 
 
 1696 
 
 I 12 
 
 2 
 
 7O 
 
 '835 
 
 116 
 
 2 
 
 2O 
 
 8116 
 
 66 
 
 3 
 
 7O 
 
 5499 
 
 142 
 
 
 021 
 
 0-01586 
 
 - log 
 
 + 2 
 
 O-71 
 
 0-01953 
 
 + 119 
 
 + I 
 
 1-21 
 
 0-08179 
 
 + 61 
 
 2 
 
 1-71 
 
 0-05357 
 
 -'43 
 
 _ 
 
 22 
 
 '479 
 
 lOJ 
 
 3 
 
 72 
 
 2073 
 
 122 
 
 2 
 
 22 
 
 8238 
 
 57 
 
 2 
 
 72 
 
 5213 
 
 '45 
 
 
 23 
 
 '377 
 
 IOI 
 
 i 
 
 73 
 
 2197 
 
 125 
 
 I 
 
 23 
 
 8293 
 
 52 
 
 3 
 
 73 
 
 5068 
 
 146 
 
 - 
 
 24 
 
 1277 
 
 9 8 
 
 3 
 
 74 
 
 2323 
 
 128 
 
 2 
 
 24 
 
 8342 
 
 48 
 
 3 
 
 74 
 
 4922 
 
 146 
 
 
 
 25 
 
 1182 
 
 93 
 
 2 
 
 75 
 
 2452 
 
 I 3 
 
 I 
 
 25 
 
 8386 
 
 42 
 
 3 
 
 75 
 
 4776 
 
 '47 
 
 - I 
 
 0-26 
 
 0-01091 
 
 - 89 
 
 + 2 
 
 O76 
 
 0*02583 
 
 + I 3 2 
 
 + I 
 
 1 26 
 
 0-08426 
 
 + 37 
 
 - 3 
 
 1-76 
 
 0-04629 
 
 -'47 
 
 o 
 
 27 
 
 1004 
 
 85 
 
 2 
 
 77 
 
 2716 
 
 '35 
 
 2 
 
 27 
 
 8460 
 
 32 
 
 2 
 
 77 
 
 4482 
 
 '47 
 
 
 
 28 
 
 921 
 
 Si 
 
 3 
 
 78 
 
 2852 
 
 '37 
 
 I 
 
 28 
 
 8490 
 
 27 
 
 3 
 
 78 
 
 4335 
 
 '47 
 
 
 
 29 
 
 843 
 
 76 
 
 2 
 
 79 
 
 2989 
 
 '39 
 
 2 
 
 29 
 
 8514 
 
 21 
 
 4 
 
 79 
 
 4188 
 
 '47 
 
 
 
 3O 
 
 769 
 
 72 
 
 2 
 
 80 
 
 3129 
 
 141 
 
 I 
 
 30 
 
 8533 
 
 16 
 
 2 
 
 80 
 
 4041 
 
 '47 
 
 + I 
 
 031 
 
 0-00699 
 
 - 68 
 
 + 3 
 
 0-81 
 
 0-03270 
 
 + 142 
 
 + I 
 
 1-31 
 
 0-08547 
 
 + 12 
 
 - 3 
 
 1-81 
 
 0-03895 
 
 - 146 
 
 o 
 
 32 
 
 634 
 
 63 
 
 3 
 
 82 
 
 3412 
 
 '43 
 
 I 
 
 32 
 
 8556 
 
 6 
 
 3 
 
 82 
 
 3749 
 
 146 
 
 + I 
 
 33 
 
 574 
 
 58 
 
 3 
 
 83 
 
 3555 
 
 144 
 
 + I 
 
 33 
 
 8559 
 
 + i 
 
 3 
 
 83 
 
 3604 
 
 '45 
 
 I 
 
 34 
 
 5'9 
 
 53 
 
 2 
 
 84 
 
 3700 
 
 '45 
 
 
 
 34 
 
 8557 
 
 - 5 
 
 3 
 
 84 
 
 3460 
 
 '43 
 
 + I 
 
 35 
 
 468 
 
 48 
 
 3 
 
 85 
 
 3845 
 
 146 
 
 + I 
 
 35 
 
 8550 
 
 10 
 
 3 
 
 85 
 
 33'8 
 
 142 
 
 
 
 036 
 
 0-00423 
 
 - 43 
 
 + 2 
 
 0-86 
 
 0-03992 
 
 + '47 
 
 - I 
 
 1-36 
 
 0-08538 
 
 '5 
 
 - 3 
 
 1 86 
 
 0-03176 
 
 -'4' 
 
 + 
 
 37 
 
 382 
 
 38 
 
 3 
 
 87 
 
 4138 
 
 '47 
 
 + I 
 
 37 
 
 8521 
 
 20 
 
 3 
 
 87 
 
 3036 
 
 '39 
 
 
 38 
 
 347 
 
 33 
 
 2 
 
 88 
 
 4285 
 
 '47 
 
 
 
 38 
 
 8498 
 
 25 
 
 2 
 
 88 
 
 2898 
 
 '37 
 
 
 39 
 
 316 
 
 28 
 
 3 
 
 89 
 
 4432 
 
 148 
 
 + I 
 
 39 
 
 8471 
 
 3 
 
 3 
 
 89 
 
 2762 
 
 '35 
 
 
 40 
 
 291 
 
 23 
 
 3 
 
 9O 
 
 4580 
 
 '47 
 
 - I 
 
 4O 
 
 8438 
 
 35 
 
 2 
 
 90 
 
 2628 
 
 '3S 
 
 
 0-41 
 
 0-00271 
 
 - 18 
 
 + 3 
 
 O-91 
 
 0*04726 
 
 + '47 
 
 + I 
 
 1-41 
 
 0*08401 
 
 - 40 
 
 - 3 
 
 1 91 
 
 0*02496 
 
 -131 
 
 + I 
 
 42 
 
 256 
 
 '3 
 
 3 
 
 92 
 
 4873 
 
 '47 
 
 - I 
 
 42 
 
 8358 
 
 46 
 
 3 
 
 92 
 
 2366 
 
 129 
 
 2 
 
 43 
 
 246 
 
 8 
 
 3 
 
 93 
 
 5019 
 
 146 
 
 I 
 
 43 
 
 8310 
 
 5' 
 
 3 
 
 93 
 
 2239 
 
 126 
 
 I 
 
 44 
 
 241 
 
 - 2 
 
 3 
 
 94 
 
 5164 
 
 '45 
 
 I 
 
 44 
 
 8257 
 
 55 
 
 2 
 
 94 
 
 2114 
 
 123 
 
 2 
 
 45 
 
 242 
 
 + 4 
 
 3 
 
 95 
 
 5308 
 
 144 
 
 I 
 
 45 
 
 8200 
 
 60 
 
 3 
 
 95 
 
 1993 
 
 1 20 
 
 2 
 
 O-46 
 
 0-00248 
 
 + 9 
 
 + 3 
 
 96 
 
 0-05451 
 
 + 143 
 
 - I 
 
 1 46 
 
 O'o8i38 
 
 - 65 
 
 - 3 
 
 1 96 
 
 0-01874 
 
 -"7 
 
 4- 2 
 
 47 
 
 259 
 
 '4 
 
 3 
 
 97 
 
 5593 
 
 '4' 
 
 I 
 
 47 
 
 8071 
 
 70 
 
 3 
 
 97 
 
 '759 
 
 "4 
 
 2 
 
 48 
 
 275 
 
 '9 
 
 3 
 
 98 
 
 5733 
 
 140 
 
 I 
 
 48 
 
 7999 
 
 74 
 
 2 
 
 98 
 
 1647 
 
 in 
 
 2 
 
 49 
 
 296 
 
 24 
 
 3 
 
 99 
 
 5872 
 
 138 
 
 2 
 
 49 
 
 79 2 3 
 
 78 
 
 2 
 
 99 
 
 '538 
 
 107 
 
 3 
 
 050 
 
 0-00323 
 
 + 29 
 
 + 2 
 
 1 00 
 
 0-06008 
 
 + 136 
 
 - I 
 
 1 50 
 
 0-07843 
 
 - 83 
 
 - 3 
 
 2 00 
 
 0-01434 
 
 - 102 
 
 + 2 
 
 Applied Constant : +o'o44oo. 
 109 
 
SATELLITE II 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XXVIII continued Equation of Longitude Argument Q 
 
 I 
 
 
 
 3 
 
 4 
 
 I 
 
 2 
 
 3 
 
 4 
 
 I 
 
 i 
 
 3 
 
 4 
 
 I 
 
 2 
 
 3 
 
 4 
 
 Q 
 
 Equa- 
 tion 
 
 A 
 
 i* 
 
 Q 
 
 Equa- 
 tion 
 
 A 
 
 *A 
 
 Q 
 
 Equa- 
 tion 
 
 A 
 
 *A* 
 
 Q 
 
 Equa- 
 tion 
 
 A 
 
 |A 
 
 d 
 
 
 
 
 
 d 
 
 o 
 
 
 
 d 
 
 c 
 
 
 
 d 
 
 o 
 
 
 
 200 
 
 0-01434 
 
 -103 
 
 + 2 
 
 250 
 
 O'O2I27 
 
 + 124 
 
 + 2 
 
 300 
 
 0-08263 
 
 + 55 
 
 - 2 
 
 350 
 
 0-05149 
 
 - 146 
 
 - i 
 
 01 
 
 1333 
 
 IOO 
 
 2 
 
 51 
 
 2252 
 
 126 
 
 I 
 
 01 
 
 8315 
 
 5 
 
 3 
 
 51 
 
 5004 
 
 146 
 
 o 
 
 02 
 
 1234 
 
 96 
 
 2 
 
 52 
 
 2380 
 
 130 
 
 2 
 
 02 
 
 8363 
 
 46 
 
 3 
 
 52 
 
 4858 
 
 '47 
 
 o 
 
 03 
 
 1141 
 
 9" 
 
 2 
 
 53 
 
 2509 
 
 IS' 
 
 I 
 
 OS 
 
 8404 
 
 40 
 
 3 
 
 53 
 
 4711 
 
 '47 
 
 o 
 
 04 
 
 '53 
 
 87 
 
 2 
 
 54 
 
 2641 
 
 '33 
 
 I 
 
 04 
 
 8442 
 
 35 
 
 3 
 
 54 
 
 4564 
 
 '47 
 
 o 
 
 05 
 
 967 
 
 83 
 
 2 
 
 55 
 
 2776 
 
 '37 
 
 2 
 
 05 
 
 8474 
 
 3 
 
 2 
 
 55 
 
 44'7 
 
 H7 
 
 
 
 2-06 
 
 0-00886 
 
 79 
 
 + 2 
 
 256 
 
 0^02912 
 
 + 138 
 
 + I 
 
 306 
 
 0-08501 
 
 + 24 
 
 - 3 
 
 356 
 
 0-04270 
 
 -'47 
 
 o 
 
 O7 
 
 810 
 
 74 
 
 2 
 
 57 
 
 3051 
 
 141 
 
 2 
 
 07 
 
 8522 
 
 18 
 
 4 
 
 57 
 
 4123 
 
 '47 
 
 o 
 
 08 
 
 738 
 
 70 
 
 2 
 
 58 
 
 3'9' 
 
 142 
 
 I 
 
 08 
 
 8540 
 
 '4 
 
 2 
 
 58 
 
 3976 
 
 146 
 
 + I 
 
 O9 
 
 669 
 
 66 
 
 2 
 
 59 
 
 3333 
 
 '43 
 
 I 
 
 09 
 
 8552 
 
 9 
 
 3 
 
 59 
 
 3831 
 
 146 
 
 
 
 1O 
 
 607 
 
 61 
 
 2 
 
 60 
 
 3475 
 
 144 
 
 I 
 
 10 
 
 8558 
 
 + 3 
 
 3 
 
 60 
 
 3685 
 
 4S 
 
 + I 
 
 2-11 
 
 0-00549 
 
 - 56 
 
 + * 
 
 2-61 
 
 0-03619 
 
 + 145 
 
 + I 
 
 311 
 
 0-08559 
 
 2 
 
 - 3 
 
 361 
 
 0-03540 
 
 -H4 
 
 + 
 
 12 
 
 496 
 
 5' 
 
 2 
 
 62 
 
 3764 
 
 '45 
 
 O 
 
 12 
 
 8554 
 
 8 
 
 3 
 
 62 
 
 3397 
 
 142 
 
 + 
 
 13 
 
 447 
 
 46 
 
 2 
 
 63 
 
 3909 
 
 '47 
 
 - I 
 
 13 
 
 8545 
 
 13 
 
 3 
 
 63 
 
 3255 
 
 142 
 
 o 
 
 14 
 
 404 
 
 4' 
 
 2 
 
 64 
 
 457 
 
 146 
 
 + I 
 
 14 
 
 8531 
 
 18 
 
 3 
 
 64 
 
 3"4 
 
 140 
 
 + 
 
 15 
 
 366 
 
 36 
 
 2 
 
 65 
 
 4203 
 
 147 
 
 O 
 
 15 
 
 8512 
 
 23 
 
 3 
 
 65 
 
 *97S 
 
 138 
 
 
 2-16 
 
 0-00333 
 
 - 3' 
 
 + 2 
 
 266 
 
 0-04350 
 
 + 147 
 
 + I 
 
 316 
 
 0-08487 
 
 - 27 
 
 - 2 
 
 366 
 
 0-02838 
 
 -136 
 
 + 
 
 17 
 
 34 
 
 26 
 
 2 
 
 67 
 
 4497 
 
 148 
 
 o 
 
 17 
 
 8457 
 
 3* 
 
 3 
 
 67 
 
 2702 
 
 '34 
 
 
 18 
 
 281 
 
 21 
 
 3 
 
 68 
 
 4645 
 
 47 
 
 o 
 
 18 
 
 8422 
 
 37 
 
 2 
 
 68 
 
 2569 
 
 132 
 
 
 19 
 
 264 
 
 16 
 
 3 
 
 69 
 
 479 ' 
 
 '47 
 
 o 
 
 19 
 
 8383 
 
 43 
 
 3 
 
 69 
 
 2438 
 
 130 
 
 
 20 
 
 251 
 
 ii 
 
 3 
 
 7O 
 
 4938 
 
 '47 
 
 
 
 20 
 
 8337 
 
 49 
 
 3 
 
 7O 
 
 2309 
 
 127 
 
 2 
 
 221 
 
 0-00243 
 
 - 6 
 
 + 3 
 
 271 
 
 0-05083 
 
 + 146 
 
 - I 
 
 321 
 
 0-08287 
 
 54 
 
 - 3 
 
 371 
 
 0-02183 
 
 -125 
 
 + I 
 
 22 
 
 240 
 
 o 
 
 3 
 
 72 
 
 5228 
 
 '44 
 
 I 
 
 22 
 
 8232 
 
 57 
 
 2 
 
 72 
 
 2060 
 
 121 
 
 2 
 
 23 
 
 244 
 
 + 6 
 
 3 
 
 73 
 
 5372 
 
 '43 
 
 I 
 
 23 
 
 8173 
 
 63 
 
 3 
 
 73 
 
 1941 
 
 118 
 
 2 
 
 24 
 
 252 
 
 ii 
 
 3 
 
 74 
 
 S5'4 
 
 142 
 
 I 
 
 24 
 
 8109 
 
 68 
 
 3 
 
 74 
 
 1823 
 
 "5 
 
 2 
 
 25 
 
 266 
 
 16 
 
 3 
 
 75 
 
 5655 
 
 140 
 
 I 
 
 25 
 
 8040 
 
 73 
 
 3 
 
 75 
 
 1709 
 
 112 
 
 2 
 
 226 
 
 0-00284 
 
 + 21 
 
 + 3 
 
 2-76 
 
 0-05795 
 
 + '39 
 
 - I 
 
 3-26 
 
 0-07966 
 
 - 76 
 
 - 2 
 
 376 
 
 0-01598 
 
 - 109 
 
 + 2 
 
 27 
 
 307 
 
 >6 
 
 3 
 
 77 
 
 5932 
 
 136 
 
 2 
 
 27 
 
 7888 
 
 80 
 
 2 
 
 77 
 
 1491 
 
 104 
 
 3 
 
 28 
 
 336 
 
 31 
 
 3 
 
 78 
 
 6068 
 
 '35 
 
 I 
 
 28 
 
 7806 
 
 86 
 
 3 
 
 78 
 
 1389 
 
 IOO 
 
 2 
 
 29 
 
 369 
 
 36 
 
 3 
 
 79 
 
 6202 
 
 '3* 
 
 I 
 
 29 
 
 7719 
 
 89 
 
 2 
 
 79 
 
 1289 
 
 97 
 
 2 
 
 3O 
 
 409 
 
 42 
 
 3 
 
 80 
 
 6333 
 
 '3' 
 
 2 
 
 30 
 
 7628 
 
 93 
 
 2 
 
 8O 
 
 1193 
 
 93 
 
 2 
 
 2-31 
 
 0-00453 
 
 + 46 
 
 + 2 
 
 281 
 
 0-06462 
 
 + 127 
 
 - I 
 
 331 
 
 0-07534 
 
 - 97 
 
 - 2 
 
 3-81 
 
 O-OIIO2 
 
 - 89 
 
 + 2 
 
 32 
 
 501 
 
 51 
 
 3 
 
 82 
 
 6589 
 
 125 
 
 2 
 
 32 
 
 7435 
 
 IOI 
 
 2 
 
 82 
 
 1014 
 
 85 
 
 2 
 
 33 
 
 555 
 
 56 
 
 2 
 
 83 
 
 6712 
 
 122 
 
 I 
 
 33 
 
 7332 
 
 105 
 
 2 
 
 83 
 
 93' 
 
 81 
 
 2 
 
 34 
 
 613 
 
 61 
 
 3 
 
 84 
 
 6833 
 
 I 2O 
 
 2 
 
 34 
 
 7227 
 
 108 
 
 2 
 
 84 
 
 852 
 
 76 
 
 2 
 
 35 
 
 677 
 
 66 
 
 3 
 
 85 
 
 6952 
 
 116 
 
 I 
 
 35 
 
 7117 
 
 I 12 
 
 2 
 
 85 
 
 111 
 
 72 
 
 2 
 
 2-36 
 
 0-00745 
 
 + 71 
 
 + 3 
 
 286 
 
 0-07066 
 
 + H3 
 
 2 
 
 336 
 
 0-07003 
 
 -116 
 
 - 2 
 
 386 
 
 0-00707 
 
 - 68 
 
 + 3 
 
 37 
 
 818 
 
 75 
 
 2 
 
 87 
 
 7178 
 
 109 
 
 2 
 
 37 
 
 6887 
 
 "9 
 
 2 
 
 87 
 
 642 
 
 63 
 
 3 
 
 38 
 
 894 
 
 79 
 
 2 
 
 88 
 
 7285 
 
 1 06 
 
 2 
 
 38 
 
 6768 
 
 121 
 
 2 
 
 88 
 
 581 
 
 58 
 
 3 
 
 39 
 
 976 
 
 84 
 
 3 
 
 89 
 
 7389 
 
 IO2 
 
 2 
 
 39 
 
 6645 
 
 124 
 
 2 
 
 89 
 
 525 
 
 53 
 
 2 
 
 4O 
 
 1 06 1 
 
 88 
 
 2 
 
 90 
 
 7490 
 
 9 8 
 
 2 
 
 40 
 
 6520 
 
 127 
 
 2 
 
 90 
 
 474 
 
 48 
 
 3 
 
 241 
 
 0-01151 
 
 + 92 
 
 + 2 
 
 2-91 
 
 0-07586 
 
 + 94 
 
 2 
 
 341 
 
 0-06393 
 
 -129 
 
 - I 
 
 3-91 
 
 0-00428 
 
 - 43 
 
 + 2 
 
 42 
 
 1245 
 
 96 
 
 2 
 
 92 
 
 7679 
 
 9 1 
 
 2 
 
 42 
 
 6262 
 
 132 
 
 2 
 
 92 
 
 387 
 
 38 
 
 3 
 
 43 
 
 '343 
 
 IOO 
 
 2 
 
 93 
 
 7768 
 
 87 
 
 2 
 
 43 
 
 6129 
 
 '34 
 
 
 93 
 
 35' 
 
 33 
 
 2 
 
 44 
 
 '444 
 
 104 
 
 2 
 
 94 
 
 7852 
 
 82 
 
 2 
 
 44 
 
 5994 
 
 136 
 
 
 94 
 
 3'9 
 
 28 
 
 3 
 
 45 
 
 1550 
 
 108 
 
 2 
 
 95 
 
 7932 
 
 78 
 
 3 
 
 45 
 
 5858 
 
 138 
 
 
 95 
 
 294 
 
 23 
 
 3 
 
 2-46 
 
 0-01659 
 
 -(-in 
 
 + 2 
 
 296 
 
 0-08007 
 
 + 73 
 
 - 2 
 
 346 
 
 0-05719 
 
 -140 
 
 
 396 
 
 0-00273 
 
 - 18 
 
 + 3 
 
 47 
 
 1771 
 
 "5 
 
 2 
 
 97 
 
 8078 
 
 69 
 
 2 
 
 47 
 
 5578 
 
 142 
 
 
 97 
 
 258 
 
 '3 
 
 3 
 
 48 
 
 1887 
 
 118 
 
 2 
 
 98 
 
 8145 
 
 64 
 
 2 
 
 48 
 
 5436 
 
 '43 
 
 
 98 
 
 247 
 
 8 
 
 3 
 
 49 
 
 2006 
 
 I2O 
 
 I 
 
 99 
 
 8205 
 
 59 
 
 2 
 
 49 
 
 5294 
 
 '44 
 
 
 99 
 
 241 
 
 - 2 
 
 3 
 
 250 
 
 0*02127 
 
 + 124 
 
 + 2 
 
 300 
 
 0-08263 
 
 + 55 
 
 - 2 
 
 350 
 
 0-05149 
 
 -146 
 
 
 
 400 
 
 0-00242 
 
 + 4 
 
 + 3 
 
 Added Constant : +o"-<>44oo. 
 no 
 
SATELLITE II 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 Equations of Longitude 
 XXIX XXX XXXI 
 
 I 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 R 
 
 Equation 
 
 A 
 
 Qd'OI 
 
 R 
 
 Equation 
 
 A 
 
 o<i-oi 
 
 d 
 
 00 
 
 O 
 
 0-01300 
 
 - 45 
 
 d 
 
 1-00 
 
 
 
 0-01791 
 
 + 41 
 
 02 
 
 12IO 
 
 45 
 
 02 
 
 1871 
 
 4 
 
 04 
 
 1121 
 
 44 
 
 O4 
 
 1949 
 
 38 
 
 06 
 
 1034 
 
 44 
 
 06 
 
 2024 
 
 37 
 
 O8 
 
 94 8 
 
 43 
 
 08 
 
 2095 
 
 35 
 
 1O 
 
 862 
 
 42 
 
 1O 
 
 2163 
 
 33 
 
 O 12 
 
 O-O0779 
 
 - 4' 
 
 1-12 
 
 O'O2226 
 
 + 3 
 
 14 
 
 699 
 
 39 
 
 14 
 
 2285 
 
 28 
 
 16 
 
 622 
 
 38 
 
 16 
 
 2338 
 
 26 
 
 18 
 
 547 
 
 36 
 
 18 
 
 2387 
 
 2 3 
 
 20 
 
 477 
 
 34 
 
 2O 
 
 2430 
 
 20 
 
 022 
 
 0-0041 1 
 
 - 32 
 
 1 22 
 
 0-02467 
 
 + 17 
 
 24 
 
 350 
 
 3 
 
 24 
 
 2 499 
 
 >4 
 
 26 
 
 293 
 
 27 
 
 26 
 
 2524 
 
 1 1 
 
 28 
 
 241 
 
 2 4 
 
 28 
 
 2544 
 
 8 
 
 3O 
 
 '95 
 
 22 
 
 SO 
 
 2 557 
 
 5 
 
 032 
 
 0-00154 
 
 - '9 
 
 1-32 
 
 0-02563 
 
 + 2 
 
 34 
 
 119 
 
 16 
 
 34 
 
 2564 
 
 - I 
 
 36 
 
 90 
 
 '3 
 
 36 
 
 2 559 
 
 5 
 
 38 
 
 67 
 
 10 
 
 38 
 
 2546 
 
 8 
 
 40 
 
 5 
 
 7 
 
 4O 
 
 2527 
 
 ii 
 
 O-42 
 
 0-00039 
 
 ~ 4 
 
 1-42 
 
 0-02503 
 
 - 14 
 
 44 
 
 35 
 
 - i 
 
 44 
 
 2472 
 
 17 
 
 46 
 
 37 
 
 + 2 
 
 46 
 
 2436 
 
 '9 
 
 48 
 
 45 
 
 6 
 
 48 
 
 2 394 
 
 22 
 
 50 
 
 60 
 
 9 
 
 50 
 
 2346 
 
 2 5 
 
 052 
 
 0-00081 
 
 + 12 
 
 1 52 
 
 0-02293 
 
 - 28 
 
 54 
 
 108 
 
 4 
 
 54 
 
 "35 
 
 3<> 
 
 56 
 
 141 
 
 18 
 
 56 
 
 2 >73 
 
 32 
 
 58 
 
 1 80 
 
 21 
 
 58 
 
 2106 
 
 34 
 
 60 
 
 224 
 
 4 
 
 6O 
 
 2035 
 
 36 
 
 62 
 
 0-00274 
 
 + 26 
 
 1 62 
 
 0-01960 
 
 - 38 
 
 64 
 
 329 
 
 29 
 
 64 
 
 1882 
 
 4 
 
 66 
 
 388 
 
 31 
 
 66 
 
 1801 
 
 4i 
 
 68 
 
 452 
 
 33 
 
 68 
 
 1718 
 
 4 2 
 
 7O 
 
 521 
 
 36 
 
 70 
 
 '633 
 
 43 
 
 O 72 
 
 0-00593 
 
 + 37 
 
 1 72 
 
 0-01546 
 
 - 44 
 
 74 
 
 669 
 
 39 
 
 74 
 
 H57 
 
 44 
 
 76 
 
 748 
 
 40 
 
 76 
 
 1368 
 
 45 
 
 78 
 
 830 
 
 4* 
 
 78 
 
 1278 
 
 45 
 
 80 
 
 914 
 
 43 
 
 80 
 
 1189 
 
 45 
 
 082 
 
 O'OIOOI 
 
 + 44 
 
 1 82 
 
 O'OIIOO 
 
 - 44 
 
 84 
 
 1088 
 
 44 
 
 84 
 
 IOI2 
 
 44 
 
 86 
 
 1 176 
 
 45 
 
 86 
 
 926 
 
 43 
 
 88 
 
 1266 
 
 45 
 
 88 
 
 842 
 
 4 2 
 
 90 
 
 '35 6 
 
 45 
 
 90 
 
 760 
 
 4 1 
 
 092 
 
 0-01445 
 
 + 45 
 
 1 92 
 
 o'oo68o 
 
 - 39 
 
 94 
 
 534 
 
 44 
 
 94 
 
 603 
 
 37 
 
 96 
 
 1621 
 
 43 
 
 96 
 
 53 
 
 36 
 
 98 
 
 1707 
 
 4* 
 
 98 
 
 461 
 
 34 
 
 1 00 
 
 0-01791 
 
 + 4' 
 
 200 
 
 0-00397 
 
 - 3' 
 
 i 
 
 2 
 
 S 
 
 Equation 
 
 d 
 
 000 
 
 O 
 
 0-00080 
 
 O4 
 
 71 
 
 OS 
 
 62 
 
 12 
 
 53 
 
 16 
 
 44 
 
 2O 
 
 36 
 
 24 
 
 0-00030 
 
 28 
 
 *4 
 
 32 
 
 "9 
 
 36 
 
 16 
 
 4O 
 
 '4 
 
 044 
 
 0-00013 
 
 48 
 
 '4 
 
 52 
 
 '5 
 
 56 
 
 ll 
 
 60 
 
 22 
 
 064 
 
 O'OOO28 
 
 68 
 
 35 
 
 72 
 
 42 
 
 76 
 
 5 
 
 80 
 
 59 
 
 084 
 
 0-00069 
 
 88 
 
 78 
 
 92 
 
 88 
 
 96 
 
 97 
 
 1 00 
 
 1 06 
 
 1-04 
 
 0-00115 
 
 O8 
 
 122 
 
 12 
 
 129 
 
 16 
 
 '35 
 
 20 
 
 140 
 
 1 24 
 
 0-00144 
 
 28 
 
 146 
 
 32 
 
 47 
 
 36 
 
 H7 
 
 40 
 
 146 
 
 1 44 
 
 0-00143 
 
 48 
 
 139 
 
 52 
 
 '33 
 
 56 
 
 126 
 
 60 
 
 119 
 
 1 64 
 
 O'OOIII 
 
 68 
 
 103 
 
 72 
 
 93 
 
 76 
 
 83 
 
 80 
 
 74 
 
 1-84 
 
 0-00065 
 
 88 
 
 56 
 
 92 
 
 47 
 
 96 
 
 39 
 
 2 00 
 
 0-00032 
 
 
 
 2 
 
 T 
 
 Equation 
 
 d 
 00 
 
 O 
 
 0-00020 
 
 1 
 
 '4 
 
 2 
 
 IO 
 
 3 
 
 6 
 
 4 
 
 4 
 
 5 
 
 4 
 
 06 
 
 0-00006 
 
 7 
 
 10 
 
 8 
 
 15 
 
 9 
 
 21 
 
 1O 
 
 26 
 
 1-1 
 
 O-OOO3 I 
 
 2 
 
 34 
 
 3 
 
 36 
 
 4 
 
 36 
 
 5 
 
 34 
 
 16 
 
 0-00029 
 
 7 
 
 24 
 
 8 
 
 '9 
 
 9 
 
 13 
 
 20 
 
 0-00009 
 
 Constant: +o-oooao 
 
 Applied Constant : +o'oi3oo 
 
 Constant : +o'oooSo 
 
SATELLITE II 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XXXII Equation of Longitude Argument U 
 
 I 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 i 
 
 * 3 
 
 i 
 
 z 
 
 3 
 
 U 
 
 Equation 
 
 A 
 0<*-OI 
 
 U 
 
 Equation 
 
 A 
 O d 'OI 
 
 U 
 
 Equation od * OI 
 
 U 
 
 Equation 
 
 A 
 O d 'OI 
 
 d 
 
 
 
 
 d 
 
 
 
 
 d 
 
 o 
 
 
 d 
 
 o 
 
 
 000 
 
 o-ooioo 
 
 - 3,5 
 
 1 00 
 
 0-00137 
 
 + 3,i 
 
 2-00 
 
 o - ooo3i 
 
 - z,5 
 
 300 
 
 0-00190 
 
 + i,3 
 
 04 
 
 86 
 
 3,4 
 
 04 
 
 149 
 
 2,9 
 
 04 
 
 22 
 
 2,0 
 
 04 
 
 194 
 
 0,8 
 
 OS 
 
 73 
 
 3,3 
 
 08 
 
 1 60 
 
 2,6 
 
 08 
 
 15 
 
 1,6 
 
 O8 
 
 196 
 
 + 0,4 
 
 12 
 
 60 
 
 3,i 
 
 12 
 
 170 
 
 2,4 
 
 12 
 
 9 
 
 ',3 
 
 12 
 
 197 
 
 - 0,1 
 
 16 
 
 48 
 
 2,8 
 
 16 
 
 179 
 
 2,0 
 
 16 
 
 5 
 
 0,6 
 
 16 
 
 '95 
 
 0,8 
 
 2O 
 
 38 
 
 2,5 
 
 2O 
 
 1 86 
 
 i,5 
 
 2O 
 
 4 
 
 - 0,1 
 
 20 
 
 191 
 
 ',' 
 
 024 
 
 0-00028 
 
 - 2,3 
 
 1 24 
 
 0-00191 
 
 + 1,0 
 
 2-24 
 
 0-00004 
 
 + 0,3 
 
 3-24 
 
 0-00186 
 
 - !>5 
 
 28 
 
 20 
 
 '-9 
 
 28 
 
 '94 
 
 0,6 
 
 28 
 
 6 
 
 0,6 
 
 28 
 
 179 
 
 2,0 
 
 32 
 
 13 
 
 i,5 
 
 32 
 
 196 
 
 + 0,3 
 
 32 
 
 9 
 
 i,3 
 
 32 
 
 170 
 
 2,4 
 
 36 
 
 8 
 
 ,o 
 
 36 
 
 196 
 
 - ,4 
 
 36 
 
 16 
 
 1,8 
 
 36 
 
 1 60 
 
 2,6 
 
 40 
 
 5 
 
 - o,5 
 
 40 
 
 193 
 
 ,9 
 
 40 
 
 23 
 
 2,0 
 
 4O 
 
 '49 
 
 3,0 
 
 044 
 
 0-00004 
 
 0,0 
 
 1-44 
 
 0-00189 
 
 - i,3 
 
 2-44 
 
 0-00032 
 
 + 2,4 
 
 344 
 
 0*00136 
 
 - 3, 1 
 
 48 
 
 5 
 
 + 0,4 
 
 48 
 
 183 
 
 1,8 
 
 48 
 
 4 2 
 
 2,6 
 
 48 
 
 124 
 
 3,3 
 
 52 
 
 7 
 
 0,9 
 
 52 
 
 175 
 
 2,1 
 
 52 
 
 53 
 
 3,o 
 
 52 
 
 no 
 
 3,5 
 
 56 
 
 12 
 
 i,4 
 
 56 
 
 1 66 
 
 2,4 
 
 56 
 
 66 
 
 3,3 
 
 56 
 
 96 
 
 3,5 
 
 60 
 
 18 
 
 1,8 
 
 60 
 
 156 
 
 2,8 
 
 6O 
 
 79 
 
 3,3 
 
 60 
 
 82 
 
 3,4 
 
 064 
 
 0-00026 
 
 + 2,3 
 
 1 64 
 
 0^00144 
 
 - 3,o 
 
 2-64 
 
 0-00093 
 
 + 3,5 
 
 3-64 
 
 0-00070 
 
 - 3, 1 
 
 68 
 
 36 
 
 2,5 
 
 68 
 
 132 
 
 3,i 
 
 68 
 
 107 
 
 3,3 
 
 68 
 
 57 
 
 3,o 
 
 72 
 
 46 
 
 2,8 
 
 72 
 
 119 
 
 3,4 
 
 72 
 
 119 
 
 3, 1 
 
 72 
 
 46 
 
 2,8 
 
 76 
 
 58 
 
 3,1 
 
 76 
 
 105 
 
 3,5 
 
 76 
 
 132 
 
 3,2 
 
 76 
 
 35 
 
 2,6 
 
 80 
 
 7' 
 
 3,3 
 
 so 
 
 9' 
 
 3,4 
 
 80 
 
 H5 
 
 3,o 
 
 80 
 
 25 
 
 2,1 
 
 084 
 
 0-00084 
 
 + 3,4 
 
 1-84 
 
 0-00078 
 
 - 3,3 
 
 2-84 
 
 0-00156 
 
 + 2,8 
 
 3-84 
 
 o'oooiS 
 
 - 1,8 
 
 88 
 
 98 
 
 3,4 
 
 88 
 
 65 
 
 3,i 
 
 88 
 
 167 
 
 2,5 
 
 88 
 
 ii 
 
 ',4 
 
 92 
 
 in 
 
 3,3 
 
 92 
 
 53 
 
 2,9 
 
 92 
 
 176 
 
 *,I 
 
 92 
 
 7 
 
 ,9 
 
 96 
 
 124 
 
 3,3 
 
 96 
 
 42 
 
 2,8 
 
 96 
 
 184 
 
 1,8 
 
 96 
 
 4 
 
 - 0,4 
 
 1-00 
 
 0-00137 
 
 + 3,i 
 
 200 
 
 0-00031 
 
 - 2,5 
 
 300 
 
 0-00190 
 
 + i,3 
 
 400 
 
 0^00004 
 
 + 0,4 
 
 Applied Constant : +o'ootoo. 
 
SATELLITE II 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XXXIII Equation of Variation of Radius Vector, Doubled Argument A 
 
 I 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 A 
 
 Equation 
 
 A 
 0<J-OI 
 
 A 
 
 Equation 
 
 A 
 Qd'OI 
 
 A 
 
 Equation 
 
 A 
 Qd-OI 
 
 A 
 
 Equation 
 
 A 
 O d 'OI 
 
 d 
 
 
 
 d 
 
 
 
 d 
 
 
 
 d 
 
 
 
 000 
 
 'O2OI2 
 
 
 
 1 OO 
 
 + -00298 
 
 + 33 
 
 200 
 
 + 01587 
 
 - H 
 
 300 
 
 -01244 
 
 - 27 
 
 02 
 
 2OI I 
 
 + I 
 
 02 
 
 363 
 
 33 
 
 O2 
 
 1558 
 
 >5 
 
 02 
 
 1297 
 
 26 
 
 04 
 
 2007 
 
 3 
 
 O4 428 
 
 32 
 
 04 
 
 1527 
 
 16 
 
 O4 
 
 1349 
 
 26 
 
 06 
 
 200 1 
 
 4 
 
 O6 
 
 492 
 
 32 
 
 06 
 
 1494 
 
 '7 
 
 06 
 
 1400 
 
 25 
 
 08 
 
 1993 
 
 5 
 
 O8 
 
 555 
 
 3> 
 
 O8 
 
 1458 
 
 18 
 
 08 
 
 1448 
 
 24 
 
 10 
 
 1981 
 
 6 
 
 10 
 
 617 
 
 3' 
 
 IO 
 
 1421 
 
 '9 
 
 10 
 
 '495 
 
 *3 
 
 012 
 
 - -01970 
 
 + 7 
 
 1-12 
 
 + -00679 
 
 + 3' 
 
 212 
 
 + 01383 
 
 - 20 
 
 3-12 
 
 -01541 
 
 - 22 
 
 14 
 
 1953 
 
 9 
 
 14 
 
 740 
 
 30 
 
 14 
 
 1342 
 
 21 
 
 14 
 
 1584 
 
 21 
 
 16 
 
 1934 
 
 10 
 
 16 
 
 799 
 
 29 
 
 16 
 
 1299 
 
 22 
 
 16 
 
 1626 
 
 21 
 
 18 
 
 1914 
 
 ii 
 
 18 
 
 857 
 
 29 
 
 18 
 
 1254 
 
 23 
 
 18 
 
 1666 
 
 '9 
 
 20 
 
 1891 
 
 12 
 
 2O 
 
 9'3 
 
 28 
 
 20 
 
 1208 
 
 24 
 
 2O 
 
 1703 
 
 18 
 
 022 
 
 -01866 
 
 + 13 
 
 1-22 
 
 + -00969 
 
 + 28 
 
 2-22 
 
 + 01160 
 
 - *5 
 
 322 
 
 - -01739 
 
 - 18 
 
 24 
 
 1838 
 
 14 
 
 24 
 
 1023 
 
 27 
 
 24 
 
 II 10 
 
 *5 
 
 24 
 
 1773 
 
 17 
 
 26 
 
 1809 
 
 >5 
 
 26 
 
 1075 
 
 26 
 
 26 
 
 1059 
 
 26 
 
 26 
 
 1805 
 
 IS 
 
 28 
 
 1777 
 
 17 
 
 28 
 
 1 126 
 
 25 
 
 28 
 
 1006 
 
 27 
 
 28 
 
 1834 
 
 '4 
 
 30 
 
 1743 
 
 18 
 
 30 
 
 1176 
 
 25 
 
 3O 
 
 95* 
 
 28 
 
 3O 
 
 1862 
 
 13 
 
 032 
 
 -01707 
 
 + 19 
 
 1-32 
 
 + 01224 
 
 + 24 
 
 232 
 
 + 00896 
 
 - 28 
 
 3-32 
 
 -01887 
 
 - 12 
 
 34 
 
 1669 
 
 20 
 
 34 
 
 1270 
 
 23 
 
 34 
 
 839 
 
 29 
 
 34 
 
 1910 
 
 II 
 
 36 
 
 1629 
 
 21 
 
 36 
 
 1314 
 
 22 
 
 36 
 
 781 
 
 29 
 
 36 
 
 1931 
 
 10 
 
 38 
 
 1587 
 
 22 
 
 38 
 
 1356 
 
 21 
 
 38 
 
 722 
 
 30 
 
 38 
 
 1949 
 
 9 
 
 4O 
 
 543 
 
 23 
 
 40 
 
 1396 
 
 2O 
 
 40 
 
 662 
 
 3 
 
 40 
 
 1965 
 
 8 
 
 O42 
 
 -01497 
 
 + 2 4 
 
 1-42 
 
 + 01435 
 
 + 19 
 
 242 
 
 + 00601 
 
 - 3' 
 
 342 
 
 -01979 
 
 - 6 
 
 44 
 
 1449 
 
 24 
 
 44 
 
 1472 
 
 18 
 
 44 
 
 539 
 
 3' 
 
 44 
 
 1990 
 
 5 
 
 46 
 
 1400 
 
 25 
 
 46 
 
 1506 
 
 '7 
 
 46 
 
 476 
 
 32 
 
 46 
 
 1999 
 
 4 
 
 48 
 
 '349 
 
 26 
 
 48 
 
 '539 
 
 16 
 
 48 
 
 412 
 
 32 
 
 48 
 
 2006 
 
 3 
 
 so 
 
 1296 
 
 27 
 
 BO 
 
 1569 
 
 i5 
 
 50 
 
 347 
 
 33 
 
 50 
 
 2OIO 
 
 - 2 
 
 0-52 
 
 - '01242 
 
 + 27 
 
 1-52 
 
 + 01597 
 
 + 14 
 
 252 
 
 + 00282 
 
 - 33 
 
 3-52 
 
 - '02012 
 
 O 
 
 54 
 
 1188 
 
 28 
 
 54 
 
 1623 
 
 12 
 
 54 
 
 217 
 
 33 
 
 54 
 
 2OII 
 
 + I 
 
 56 
 
 1131 
 
 2 9 
 
 56 
 
 1647 
 
 1 I 
 
 56 
 
 IS" 
 
 33 
 
 56 
 
 2O08 
 
 2 
 
 58 
 
 1073 
 
 29 
 
 58 
 
 1669 
 
 IO 
 
 58 
 
 84 
 
 33 
 
 58 
 
 2OO3 
 
 3 
 
 6O 
 
 1014 
 
 3 
 
 60 
 
 1688 
 
 9 
 
 60 
 
 + 18 
 
 33 
 
 60 
 
 '995 
 
 5 
 
 62 
 
 -00953 
 
 + 3' 
 
 1 62 
 
 + 01705 
 
 + 8 
 
 2-62 
 
 - -00049 
 
 - 34 
 
 3-62 
 
 -01985 
 
 + 6 
 
 64 
 
 892 
 
 3i 
 
 64 
 
 1720 
 
 7 
 
 64 
 
 116 
 
 34 
 
 64 
 
 1973 
 
 7 
 
 66 
 
 830 
 
 3* 
 
 66 
 
 1733 
 
 6 
 
 66 
 
 183 
 
 34 
 
 66 
 
 1958 
 
 8 
 
 68 
 
 766 
 
 32 
 
 68 
 
 1742 
 
 4 
 
 68 
 
 250 
 
 34 
 
 68 
 
 1941 
 
 9 
 
 70 
 
 7oz 
 
 32 
 
 70 
 
 1750 
 
 3 
 
 7O 
 
 3'7 
 
 33 
 
 70 
 
 1921 
 
 10 
 
 72 
 
 - -00637 
 
 + 33 
 
 1-72 
 
 + 01756 
 
 + 2 
 
 272 
 
 - '00383 
 
 - 33 
 
 372 
 
 '01900 
 
 + ii 
 
 74 
 
 57* 
 
 33 
 
 74 
 
 '759 
 
 + I 
 
 74 
 
 449 
 
 33 
 
 74 
 
 1876 
 
 '3 
 
 76 
 
 506 
 
 33 
 
 76 
 
 1760 
 
 o 
 
 76 
 
 515 
 
 33 
 
 76 
 
 1850 
 
 H 
 
 78 
 
 440 
 
 34 
 
 78 
 
 1758 
 
 - 2 
 
 78 
 
 580 
 
 33 
 
 78 
 
 1821 
 
 15 
 
 80 
 
 373 
 
 34 
 
 8O 
 
 1754 
 
 3 
 
 80 
 
 645 
 
 3* 
 
 80 
 
 1791 
 
 16 
 
 0-82 
 
 - -00306 
 
 + 34 
 
 1 82 
 
 + 01748 
 
 - 4 
 
 2-82 
 
 - -00709 
 
 - 32 
 
 3-82 
 
 -01758 
 
 + 17 
 
 84 
 
 238 
 
 34 
 
 84 
 
 '739 
 
 5 
 
 84 
 
 772 
 
 32 
 
 84 
 
 1723 
 
 18 
 
 86 
 
 171 
 
 34 
 
 86 
 
 1729 
 
 6 
 
 86 
 
 835 
 
 3i 
 
 86 
 
 1687 
 
 19 
 
 88 
 
 103 
 
 34 
 
 88 
 
 1715 
 
 7 
 
 88 
 
 897 
 
 3' 
 
 88 
 
 1648 
 
 20 
 
 90 
 
 35 
 
 34 
 
 90 
 
 1700 
 
 8 
 
 9O 
 
 958 
 
 30 
 
 90 
 
 1607 
 
 21 
 
 092 
 
 + 00032 
 
 + 34 
 
 1 92 
 
 + 01682 
 
 - 10 
 
 2 '92 
 
 - -01017 
 
 - 3 
 
 3-92 
 
 -01565 
 
 + 22 
 
 94 
 
 99 
 
 33 
 
 94 
 
 1662 
 
 ii 
 
 94 
 
 1076 
 
 29 
 
 94 
 
 1520 
 
 *3 
 
 96 
 
 .65 
 
 33 
 
 96 
 
 1639 
 
 12 
 
 96 
 
 U33 
 
 28 
 
 96 
 
 H74 
 
 24 
 
 98 
 
 3* 
 
 33 
 
 98 
 
 1614 
 
 '3 
 
 98 
 
 1189 
 
 28 
 
 98 
 
 1426 
 
 24 
 
 1 00 
 
 + -00298 
 
 + 33 
 
 200 
 
 + 01587 
 
 - >4 
 
 300 
 
 -01244 
 
 - 27 
 
 400 
 
 -01377 
 
 + 25 
 
 Applied Constant : --OOITC. 
 The Equation of this Table must be supplemented by those of Tables XXXIV, XXXV, XXXVI. 
 
 "3 
 
SATELLITE II 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XXXIII continued Equation of Variation of Radius Vector, Doubled Argument A 
 
 I 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 A 
 
 Equation 
 
 A 
 <)d-oi 
 
 A 
 
 Equation 
 
 A 
 O d- OI 
 
 A 
 
 Equation 
 
 A 
 Od-OI 
 
 A 
 
 Equation 
 
 A 
 O d 'OI 
 
 d 
 400 
 
 -01377 
 
 + 25 
 
 d 
 
 500 
 
 + 01509 
 
 + 17 
 
 d 
 600 
 
 + 00463 
 
 - 32 
 
 d 
 
 700 
 
 - -02004 
 
 - 3 
 
 02 
 
 1326 
 
 26 
 
 O2 
 
 1542 
 
 16 
 
 02 
 
 399 
 
 32 
 
 O2 
 
 2009 
 
 2 
 
 04 
 
 1273 
 
 *7 
 
 O4 
 
 1571 
 
 4 
 
 04 
 
 334 
 
 33 
 
 04 
 
 2OI2 
 
 I 
 
 O6 
 
 1219 
 
 28 
 
 06 
 
 '599 
 
 4 
 
 06 
 
 268 
 
 33 
 
 06 
 
 2OI2 
 
 + I 
 
 08 
 
 1163 
 
 28 
 
 08 
 
 1626 
 
 '3 
 
 08 
 
 202 
 
 33 
 
 O8 
 
 2OIO 
 
 2 
 
 1O 
 
 1107 
 
 28 
 
 1O 
 
 1649 
 
 ii 
 
 1O 
 
 '35 
 
 34 
 
 10 
 
 2005 
 
 3 
 
 4-12 
 
 -01050 
 
 + 29 
 
 5-12 
 
 + 01671 
 
 + 10 
 
 612 
 
 + '00068 
 
 - 34 
 
 712 
 
 -01998 
 
 + 4 
 
 14 
 
 99' 
 
 30 
 
 14 
 
 1690 
 
 9 
 
 14 
 
 + i 
 
 34 
 
 14 
 
 1988 
 
 6 
 
 16 
 
 93 
 
 3i 
 
 16 
 
 1707 
 
 8 
 
 16 
 
 66 
 
 34 
 
 16 
 
 1975 
 
 7 
 
 18 
 
 869 
 
 3i 
 
 18 
 
 1721 
 
 7 
 
 18 
 
 '34 
 
 34 
 
 18 
 
 1960 
 
 8 
 
 20 
 
 807 
 
 3' 
 
 20 
 
 '734 
 
 6 
 
 20 
 
 2OI 
 
 34 
 
 20 
 
 1944 
 
 9 
 
 4-22 
 
 - -00744 
 
 + 3* 
 
 522 
 
 + 01743 
 
 + 4 
 
 6-22 
 
 -OO268 
 
 - 34 
 
 722 
 
 -01924 
 
 + 10 
 
 24 
 
 680 
 
 3* 
 
 24 
 
 1751 
 
 4 
 
 24 
 
 336 
 
 34 
 
 24 
 
 1903 
 
 1 1 
 
 26 
 
 616 
 
 32 
 
 26 
 
 '757 
 
 2 
 
 26 
 
 43 
 
 34 
 
 26 
 
 1880 
 
 '3 
 
 28 
 
 55' 
 
 33 
 
 28 
 
 1760 
 
 + I 
 
 28 
 
 470 
 
 33 
 
 28 
 
 1853 
 
 '4 
 
 30 
 
 485 
 
 33 
 
 30 
 
 1760 
 
 I 
 
 30 
 
 536 
 
 33 
 
 30 
 
 1825 
 
 '5 
 
 432 
 
 - -00419 
 
 + 33 
 
 532 
 
 + 01758 
 
 2 
 
 632 
 
 - -OO602 
 
 - 33 
 
 732 
 
 -01794 
 
 + 16 
 
 34 
 
 353 
 
 33 
 
 34 
 
 1754 
 
 3 
 
 34 
 
 667 
 
 32 
 
 34 
 
 1761 
 
 '7 
 
 36 
 
 286 
 
 34 
 
 36 
 
 1748 
 
 4 
 
 36 
 
 73' 
 
 32 
 
 36 
 
 1727 
 
 18 
 
 38 
 
 219 
 
 34 
 
 38 
 
 '739 
 
 5 
 
 38 
 
 795 
 
 3* 
 
 38 
 
 1690 
 
 '9 
 
 40 
 
 152 
 
 33 
 
 40 
 
 1728 
 
 6 
 
 40 
 
 858 
 
 3' 
 
 40 
 
 1651 
 
 20 
 
 4-42 
 
 - '00086 
 
 + 33 
 
 542 
 
 + 01714 
 
 - 8 
 
 6-42 
 
 - -00920 
 
 3' 
 
 742 
 
 -01609 
 
 + 21 
 
 44 
 
 '9 
 
 3+ 
 
 44 
 
 1698 
 
 9 
 
 44 
 
 981 
 
 3 
 
 44 
 
 1566 
 
 22 
 
 46 
 
 + 48 
 
 33 
 
 46 
 
 1680 
 
 10 
 
 46 
 
 1040 
 
 30 
 
 46 
 
 1522 
 
 2 3 
 
 48 
 
 "4 
 
 33 
 
 48 
 
 1660 
 
 ii 
 
 48 
 
 1099 
 
 29 
 
 48 
 
 1476 
 
 4 
 
 50 
 
 III 
 
 33 
 
 50 
 
 1637 
 
 12 
 
 50 
 
 1156 
 
 29 
 
 50 
 
 1427 
 
 25 
 
 4-52 
 
 + 00247 
 
 + 33 
 
 5-52 
 
 + 01612 
 
 - 13 
 
 6-52 
 
 - -01213 
 
 - 28 
 
 752 
 
 -01377 
 
 + 25 
 
 54 
 
 312 
 
 3* 
 
 54 
 
 1585 
 
 H 
 
 54 
 
 1268 
 
 27 
 
 54 
 
 1326 
 
 26 
 
 56 
 
 376 
 
 32 
 
 56 
 
 1556 
 
 15 
 
 56 
 
 1321 
 
 26 
 
 56 
 
 1273 
 
 27 
 
 58 
 
 441 
 
 32 
 
 58 
 
 1525 
 
 16 
 
 58 
 
 '373 
 
 26 
 
 58 
 
 1218 
 
 28 
 
 60 
 
 504 
 
 3* 
 
 6O 
 
 1491 
 
 18 
 
 60 
 
 423 
 
 25 
 
 60 
 
 1162 
 
 29 
 
 462 
 
 + 00567 
 
 + 3i 
 
 5-62 
 
 + 01455 
 
 - 19 
 
 6-62 
 
 -01471 
 
 - 24 
 
 762 
 
 -01 104 
 
 + 29 
 
 64 
 
 628 
 
 3i 
 
 64 
 
 1417 
 
 '9 
 
 64 
 
 1518 
 
 23 
 
 64 
 
 1046 
 
 29 
 
 66 
 
 689 
 
 30 
 
 66 
 
 1378 
 
 20 
 
 66 
 
 >5 6 3 
 
 22 
 
 66 
 
 987 
 
 30 
 
 68 
 
 749 
 
 jo 
 
 68 
 
 1336 
 
 21 
 
 68 
 
 1606 
 
 21 
 
 68 
 
 926 
 
 3' 
 
 7O 
 
 808 
 
 2 9 
 
 7O 
 
 1293 
 
 22 
 
 7O 
 
 1647 
 
 2O 
 
 7O 
 
 864 
 
 3' 
 
 4-72 
 
 +00865 
 
 + 28 
 
 572 
 
 + 01249 
 
 - 23 
 
 672 
 
 -01686 
 
 - '9 
 
 7-72 
 
 -00801 
 
 + 32 
 
 74 
 
 921 
 
 28 
 
 74 
 
 1 202 
 
 *4 
 
 74 
 
 1723 
 
 18 
 
 74 
 
 738 
 
 32 
 
 76 
 
 976 
 
 *7 
 
 76 
 
 1154 
 
 25 
 
 76 
 
 1758 
 
 '7 
 
 76 
 
 673 
 
 33 
 
 78 
 
 1030 
 
 *7 
 
 78 
 
 1 104 
 
 26 
 
 78 
 
 1791 
 
 16 
 
 78 
 
 608 
 
 33 
 
 80 
 
 1082 
 
 26 
 
 80 
 
 1051 
 
 27 
 
 80 
 
 1823 
 
 '5 
 
 8O 
 
 542 
 
 33 
 
 482 
 
 + 01132 
 
 + 25 
 
 5-82 
 
 + -00998 
 
 - *7 
 
 682 
 
 -01851 
 
 14 
 
 782 
 
 -00476 
 
 + 33 
 
 84 
 
 1180 
 
 *4 
 
 84 
 
 944 
 
 28 
 
 84 
 
 1877 
 
 '3 
 
 84 
 
 409 
 
 34 
 
 86 
 
 1228 
 
 24 
 
 86 
 
 888 
 
 28 
 
 86 
 
 1901 
 
 1 1 
 
 86 
 
 342 
 
 34 
 
 88 
 
 1274 
 
 *3 
 
 88 
 
 831 
 
 29 
 
 88 
 
 1922 
 
 10 
 
 88 
 
 275 
 
 34 
 
 90 
 
 1318 
 
 22 
 
 90 
 
 772 
 
 30 
 
 90 
 
 1942 
 
 10 
 
 90 
 
 208 
 
 34 
 
 4-92 
 
 + 01360 
 
 + 21 
 
 592 
 
 + 00712 
 
 - 3 
 
 6-92 
 
 -01960 
 
 - 8 
 
 792 
 
 -00140 
 
 + 34 
 
 94 
 
 1400 
 
 2O 
 
 94 
 
 651 
 
 3i 
 
 94 
 
 '974 
 
 7 
 
 94 
 
 72 
 
 34 
 
 96 
 
 '439 
 
 '9 
 
 96 
 
 589 
 
 3J 
 
 96 
 
 1986 
 
 6 
 
 96 
 
 5 
 
 34 
 
 98 
 
 '475 
 
 18 
 
 98 
 
 527 
 
 32 
 
 98 
 
 1996 
 
 5 
 
 98 
 
 + 62 
 
 34 
 
 500 
 
 + 01509 
 
 + 17 
 
 600 
 
 + -00463 
 
 - 32 
 
 7OO 
 
 - -02004 
 
 - 3 
 
 800 
 
 + 00129 
 
 + 34 
 
 Applied Constant : - -00120. 
 
 The Equation of this Table must be supplemented by those of Tables XXXIV, XXXV, XXXVI. 
 
 114 
 
SATELLITE II 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 Equations of Variation of Radius Vector, Doubled 
 XXXIV XXXV XXXVI 
 
 I 
 
 I 
 
 D 
 
 Equation 
 
 d 
 
 
 o-o 
 
 + 00003 
 
 2 
 
 4 
 
 4 
 
 7 
 
 6 
 
 12 
 
 8 
 
 17 
 
 1O 
 
 23 
 
 12 
 
 + '00029 
 
 4 
 
 33 
 
 6 
 
 36 
 
 8 
 
 37 
 
 20 
 
 36 
 
 22 
 
 + 00032 
 
 4 
 
 28 
 
 6 
 
 22 
 
 8 
 
 16 
 
 30 
 
 10 
 
 32 
 
 + -00006 
 
 4 
 
 4 
 
 6 
 
 3 
 
 8 
 
 5 
 
 40 
 
 + -00008 
 
 I 
 
 t 
 
 i 
 
 2 
 
 E 
 
 Equation 
 
 E 
 
 Equation 
 
 d 
 
 
 d 
 
 
 00 
 
 + -00008 
 
 20 
 
 + -00127 
 
 1 
 
 9 
 
 1 
 
 122 
 
 2 
 
 It 
 
 2 
 
 "5 
 
 3 
 
 16 
 
 3 
 
 I0 7 
 
 4 
 
 *3 
 
 4 
 
 9 8 
 
 5 
 
 3i 
 
 5 
 
 88 
 
 0-6 
 
 + -00040 
 
 26 
 
 + -00077 
 
 7 
 
 5 
 
 7 
 
 66 
 
 8 
 
 60 
 
 8 
 
 55 
 
 9 
 
 7i 
 
 9 
 
 45 
 
 10 
 
 82 
 
 3'O 
 
 35 
 
 1-1 
 
 + 00093 
 
 3-1 
 
 + -00027 
 
 2 
 
 IO2 
 
 2 
 
 20 
 
 3 
 
 III 
 
 3 
 
 H 
 
 4 
 
 "9 
 
 4 
 
 10 
 
 5 
 
 1*5 
 
 5 
 
 8 
 
 16 
 
 + 00129 
 
 3-6 
 
 + -00008 
 
 7 
 
 131 
 
 7 
 
 10 
 
 8 
 
 132 
 
 8 
 
 H 
 
 9 
 
 131 
 
 9 
 
 '9 
 
 20 
 
 + 00127 
 
 40 
 
 + -00027 
 
 i 
 
 1 
 
 F 
 
 Equation 
 
 d 
 
 
 00 
 
 + -00004 
 
 2 
 
 6 
 
 4 
 
 10 
 
 6 
 8 
 
 '7 
 26 
 
 10 
 
 35 
 
 1-2 
 
 + -00044 
 
 4 
 
 So 
 
 6 
 8 
 
 55 
 56 
 
 2-0 
 
 54 
 
 22 
 
 + -00049 
 
 4 
 
 4* 
 
 6 
 
 33 
 
 8 
 
 24 
 
 3-0 
 
 "5 
 
 32 
 
 + -00009 
 
 4 
 
 5 
 
 6 
 8 
 
 6 
 
 40 
 
 + -OOOI2 
 
 Constant: +'00020. 
 
 Applied Constant : + '00070. 
 
 Constant : +'00030. 
 
SATELLITE II 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XXXVII Equation of Latitude Argument Q 
 
 I 
 
 1 
 
 3 
 
 4 
 
 
 
 2 
 
 3 
 
 4 
 
 i 
 
 2 
 
 3 
 
 4 
 
 i 
 
 2 
 
 3 
 
 4 
 
 Q 
 
 Equa- 
 tion 
 
 A 
 
 iA* 
 
 Q 
 
 Equa- 
 tion 
 
 A 
 
 i* 
 
 Q 
 
 Equa- 
 tion 
 
 A 
 
 JA" 
 
 Q 
 
 Equa- 
 tion 
 
 A 
 
 *A 
 
 d 
 
 
 
 
 d 
 
 
 
 
 d 
 
 
 
 
 d 
 
 
 
 
 000 
 
 0-60000 
 
 + 954 
 
 o 
 
 050 
 
 1-01772 
 
 + 607 
 
 - 7 
 
 1 00 
 
 1-12958 
 
 - 189 
 
 - 9 
 
 1 50 
 
 0-85280 
 
 -844 
 
 - 4 
 
 01 
 
 60954 
 
 954 
 
 o 
 
 51 
 
 02372 
 
 594 
 
 7 
 
 O1 
 
 1-12760 
 
 206 
 
 9 
 
 51 
 
 8443* 
 
 852 
 
 4 
 
 02 
 
 61908 
 
 954 
 
 o 
 
 52 
 
 02959 
 
 580 
 
 7 
 
 02 
 
 1-12546 
 
 223 
 
 9 
 
 52 
 
 83576 
 
 858 
 
 4 
 
 03 
 
 62862 
 
 954 
 
 - 
 
 53 
 
 03532 
 
 566 
 
 7 
 
 03 
 
 1-12315 
 
 239 
 
 8 
 
 53 
 
 82715 
 
 866 
 
 4 
 
 04 
 
 63815 
 
 95* 
 
 
 54 
 
 04091 
 
 553 
 
 7 
 
 04 
 
 1-12069 
 
 255 
 
 8 
 
 54 
 
 81845 
 
 873 
 
 4 
 
 05 
 
 64766 
 
 95i 
 
 
 55 
 
 04637 
 
 539 
 
 7 
 
 OS 
 
 PllSoQ 
 
 271 
 
 9 
 
 55 
 
 80969 
 
 880 
 
 4 
 
 006 
 
 0-65716 
 
 + 949 
 
 _ 
 
 056 
 
 05169 
 
 + 525 
 
 - 8 
 
 1 06 
 
 1-11526 
 
 -288 
 
 - 8 
 
 1 56 
 
 0-80085 
 
 -887 
 
 3 
 
 O7 
 
 66664 
 
 947 
 
 
 57 
 
 05686 
 
 510 
 
 7 
 
 O7 
 
 1*11230 
 
 304 
 
 8 
 
 57 
 
 79196 
 
 893 
 
 3 
 
 08 
 
 67610 
 
 945 
 
 
 58 
 
 '06189 
 
 496 
 
 7 
 
 O8 
 
 1-10918 
 
 320 
 
 8 
 
 58 
 
 78300 
 
 899 
 
 3 
 
 09 
 
 68554 
 
 943 
 
 2 
 
 59 
 
 06678 
 
 482 
 
 8 
 
 09 
 
 1-10590 
 
 33<5 
 
 8 
 
 59 
 
 77399 
 
 904 
 
 3 
 
 10 
 
 69495 
 
 940 
 
 2 
 
 6O 
 
 07152 
 
 467 
 
 8 
 
 1O 
 
 1-10246 
 
 35* 
 
 8 
 
 60 
 
 76491 
 
 908 
 
 3 
 
 011 
 
 070433 
 
 + 937 
 
 - 2 
 
 061 
 
 07611 
 
 + 45 2 
 
 - 8 
 
 1-11 
 
 1-09887 
 
 -367 
 
 - 8 
 
 1-61 
 
 075581 
 
 -914 
 
 3 
 
 12 
 
 71368 
 
 933 
 
 2 
 
 62 
 
 08055 
 
 437 
 
 8 
 
 12 
 
 1-09513 
 
 383 
 
 8 
 
 62 
 
 74664 
 
 919 
 
 3 
 
 13 
 
 72299 
 
 929 
 
 2 
 
 63 
 
 08484 
 
 422 
 
 8 
 
 13 
 
 1-09123 
 
 39 8 
 
 8 
 
 63 
 
 73743 
 
 9 2 3 
 
 2 
 
 14 
 
 73226 
 
 925 
 
 2 
 
 64 
 
 08898 
 
 407 
 
 8 
 
 14 
 
 1-08717 
 
 414 
 
 8 
 
 64 
 
 72818 
 
 927 
 
 2 
 
 15 
 
 74' 49 
 
 921 
 
 2 
 
 65 
 
 09297 
 
 39 2 
 
 8 
 
 15 
 
 1-08296 
 
 429 
 
 8 
 
 65 
 
 71889 
 
 93i 
 
 2 
 
 0-16 
 
 0-75069 
 
 + 917 
 
 - 3 
 
 066 
 
 09681 
 
 + 376 
 
 - 8 
 
 1-16 
 
 1-07859 
 
 -444 
 
 - 8 
 
 1-66 
 
 0-70956 
 
 -935 
 
 - 2 
 
 17 
 
 759 8 3 
 
 912 
 
 3 
 
 67 
 
 10049 
 
 360 
 
 8 
 
 17 
 
 1*07408 
 
 459 
 
 8 
 
 67 
 
 70020 
 
 938 
 
 2 
 
 18 
 
 76893 
 
 907 
 
 3 
 
 68 
 
 10402 
 
 345 
 
 8 
 
 18 
 
 1-06942 
 
 473 
 
 7 
 
 68 
 
 69080 
 
 941 
 
 2 
 
 19 
 
 77797 
 
 902 
 
 3 
 
 69 
 
 10739 
 
 329 
 
 8 
 
 19 
 
 1-06463 
 
 486 
 
 8 
 
 69 
 
 68138 
 
 944 
 
 2 
 
 20 
 
 78696 
 
 896 
 
 3 
 
 7O 
 
 i 1060 
 
 3>3 
 
 8 
 
 20 
 
 1-05968 
 
 53 
 
 8 
 
 7O 
 
 67193 
 
 946 
 
 I 
 
 21 
 
 0-79588 
 
 + 890 
 
 - 3 
 
 O71 
 
 11365 
 
 + 297 
 
 - 8 
 
 1 21 
 
 1-05458 
 
 -517 
 
 - 7 
 
 1*71 
 
 0^66246 
 
 -948 
 
 _ 
 
 22 
 
 80475 
 
 884 
 
 3 
 
 72 
 
 11654 
 
 281 
 
 9 
 
 22 
 
 1-04934 
 
 53' 
 
 7 
 
 72 
 
 65297 
 
 950 
 
 
 23 
 
 81355 
 
 877 
 
 4 
 
 73 
 
 i 1926 
 
 264 
 
 8 
 
 23 
 
 1*04396 
 
 545 
 
 7 
 
 73 
 
 64346 
 
 952 
 
 
 24 
 
 82229 
 
 870 
 
 4 
 
 74 
 
 12181 
 
 248 
 
 8 
 
 24 
 
 1-03844 
 
 559 
 
 7 
 
 74 
 
 63394 
 
 953 
 
 
 25 
 
 83095 
 
 864 
 
 4 
 
 75 
 
 12421 
 
 232 
 
 9 
 
 25 
 
 1-03279 
 
 572 
 
 7 
 
 75 
 
 62441 
 
 954 
 
 - 
 
 026 
 
 0-83955 
 
 + 856 
 
 - 4 
 
 076 
 
 12644 
 
 + 215 
 
 - 8 
 
 1-26 
 
 02700 
 
 -586 
 
 - 7 
 
 1 76 
 
 o - 6i487 
 
 -954 
 
 O 
 
 27 
 
 84807 
 
 849 
 
 4 
 
 77 
 
 12851 
 
 198 
 
 9 
 
 27 
 
 02108 
 
 599 
 
 7 
 
 77 
 
 60533 
 
 954 
 
 O 
 
 28 
 
 85652 
 
 841 
 
 4 
 
 78 
 
 13040 
 
 182 
 
 8 
 
 28 
 
 01502 
 
 613 
 
 7 
 
 78 
 
 '59579 
 
 954 
 
 O 
 
 29 
 
 86489 
 
 833 
 
 5 
 
 79 
 
 13214 
 
 165 
 
 9 
 
 29 
 
 00883 
 
 625 
 
 6 
 
 79 
 
 58625 
 
 954 
 
 o 
 
 30 
 
 87317 
 
 824 
 
 4 
 
 so 
 
 13370 
 
 148 
 
 9 
 
 30 
 
 00253 
 
 638 
 
 7 
 
 80 
 
 57671 
 
 954 
 
 + I 
 
 031 
 
 0-88137 
 
 + 816 
 
 - 5 
 
 081 
 
 13510 
 
 + 132 
 
 - 8 
 
 1 31 
 
 0-99609 
 
 -650 
 
 - 6 
 
 1-81 
 
 0-56719 
 
 -953 
 
 + 
 
 32 
 
 88948 
 
 807 
 
 5 
 
 82 
 
 13633 
 
 H5 
 
 9 
 
 32 
 
 98953 
 
 663 
 
 7 
 
 82 
 
 55767 
 
 952 
 
 
 33 
 
 89751 
 
 798 
 
 5 
 
 83 
 
 '3739 
 
 98 
 
 9 
 
 33 
 
 98284 
 
 675 
 
 6 
 
 83 
 
 54816 
 
 950 
 
 
 34 
 
 90543 
 
 789 
 
 5 
 
 84 
 
 13828 
 
 81 
 
 9 
 
 34 
 
 97603 
 
 687 
 
 6 
 
 84 
 
 53867 
 
 948 
 
 
 35 
 
 91326 
 
 779 
 
 5 
 
 85 
 
 I39 01 
 
 64 
 
 9 
 
 35 
 
 96911 
 
 696 
 
 6 
 
 85 
 
 52920 
 
 946 
 
 
 036 
 
 0^92099 
 
 + 769 
 
 - 5 
 
 086 
 
 '395 6 
 
 + 47 
 
 - 8 
 
 1-36 
 
 0-96210 
 
 -708 
 
 - 7 
 
 1 86 
 
 0-51975 
 
 -945 
 
 + 2 
 
 37 
 
 92863 
 
 759 
 
 5 
 
 87 
 
 13995 
 
 3i 
 
 9 
 
 37 
 
 '95495 
 
 720 
 
 6 
 
 87 
 
 51031 
 
 941 
 
 I 
 
 38 
 
 93616 
 
 748 
 
 6 
 
 88 
 
 14017 
 
 + H 
 
 9 
 
 38 
 
 94770 
 
 73i 
 
 6 
 
 88 
 
 50091 
 
 939 
 
 2 
 
 39 
 
 '94359 
 
 738 
 
 5 
 
 89 
 
 14022 
 
 - 4 
 
 9 
 
 39 
 
 94033 
 
 742 
 
 6 
 
 89 
 
 49'54 
 
 935 
 
 2 
 
 40 
 
 95091 
 
 727 
 
 6 
 
 90 
 
 1 40 1 o 
 
 21 
 
 9 
 
 40 
 
 93286 
 
 753 
 
 5 
 
 90 
 
 48220 
 
 932 
 
 2 
 
 041 
 
 0-95812 
 
 + 715 
 
 - 6 
 
 091 
 
 13981 
 
 - 38 
 
 - 9 
 
 1 41 
 
 0-92528 
 
 -764 
 
 - 6 
 
 1 91 
 
 0-47290 
 
 -928 
 
 + 2 
 
 42 
 
 96521 
 
 704 
 
 6 
 
 92 
 
 13935 
 
 55 
 
 9 
 
 42 
 
 91760 
 
 774 
 
 5 
 
 92 
 
 46364 
 
 924 
 
 3 
 
 43 
 
 97220 
 
 693 
 
 6 
 
 93 
 
 13871 
 
 72 
 
 9 
 
 43 
 
 90981 
 
 783 
 
 5 
 
 93 
 
 '45443 
 
 919 
 
 2 
 
 44 
 
 97907 
 
 681 
 
 6 
 
 94 
 
 I379I 
 
 89 
 
 9 
 
 44 
 
 90194 
 
 793 
 
 5 
 
 94 
 
 44525 
 
 9'5 
 
 3 
 
 45 
 
 98582 
 
 669 
 
 6 
 
 95 
 
 13694 
 
 105 
 
 8 
 
 45 
 
 89397 
 
 802 
 
 5 
 
 95 
 
 43613 
 
 910 
 
 3 
 
 046 
 
 0-99244 
 
 + 657 
 
 - 6 
 
 096 
 
 13581 
 
 - 122 
 
 - 9 
 
 1-46 
 
 0-88591 
 
 -811 
 
 - 5 
 
 1-96 
 
 0-42706 
 
 -905 
 
 + 3 
 
 47 
 
 0-99895 
 
 645 
 
 7 
 
 97 
 
 13450 
 
 '39 
 
 9 
 
 47 
 
 87776 
 
 820 
 
 5 
 
 97 
 
 41805 
 
 899 
 
 3 
 
 48 
 
 1-00533 
 
 632 
 
 6 
 
 98 
 
 13303 
 
 , 5 6 
 
 9 
 
 48 
 
 86952 
 
 828 
 
 4 
 
 98 
 
 40908 
 
 894 
 
 3 
 
 49 
 
 1-01159 
 
 620 
 
 7 
 
 99 
 
 13138 
 
 "73 
 
 8 
 
 49 
 
 86120 
 
 836 
 
 4 
 
 99 
 
 40018 
 
 888 
 
 4 
 
 050 
 
 1-01772 
 
 + 607 
 
 - 7 
 
 1 00 
 
 12958 
 
 - 189 
 
 - 9 
 
 1 50 
 
 0-85280 
 
 -844 
 
 - 4 
 
 2 00 
 
 0-39133 
 
 -881 
 
 + 3 
 
 Applied Constant: +o'6oooo. For Eclipses, and as the argument of Table XLVII, the Equation of this Table must be supplemented by those 
 
 of Tables XXXVIII-XLIV. For the other phenomena the Equations of Tables XLV, XLVI must also be applied. 
 
 116 
 
SATELLITE II 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 Equation of Latitude Argument Q 
 
 XXXVII continued 
 
 I 
 
 z 
 
 3 
 
 4 
 
 i 
 
 2 
 
 3 
 
 4 
 
 i 
 
 z 
 
 3 
 
 4 
 
 I 
 
 z 
 
 3 
 
 4 
 
 Q 
 
 Equa- 
 tion 
 
 A 
 
 *A* 
 
 Q 
 
 Equa- 
 tion 
 
 A 
 
 *A* 
 
 Q 
 
 Equa- 
 tion 
 
 A 
 
 JA* 
 
 Q 
 
 Equa- 
 tion 
 
 A 
 
 *A* 
 
 a 
 
 
 
 
 d 
 
 
 
 
 d 
 
 
 
 
 d 
 
 
 
 
 200 
 
 0-39133 
 
 -881 
 
 + 3 
 
 2-50 
 
 0-08215 
 
 -*73 
 
 + 8 
 
 300 
 
 0-15301 
 
 + 537 
 
 + 7 
 
 350 
 
 0-55123 
 
 + 95' 
 
 + i 
 
 01 
 
 38256 
 
 874 
 
 4 
 
 51 
 
 07960 
 
 *57 
 
 8 
 
 01 
 
 15845 
 
 55' 
 
 7 
 
 51 
 
 56074 
 
 95* 
 
 + i 
 
 02 
 
 37385 
 
 867 
 
 4 
 
 52 
 
 07712 
 
 241 
 
 8 
 
 02 
 
 16403 
 
 565 
 
 7 
 
 52 
 
 57027 
 
 952 
 
 o 
 
 03 
 
 36523 
 
 860 
 
 4 
 
 53 
 
 07479 
 
 224 
 
 9 
 
 03 
 
 16974 
 
 578 
 
 7 
 
 53 
 
 57980 
 
 953 
 
 + i 
 
 04 
 
 35668 
 
 853 
 
 4 
 
 54 
 
 07263 
 
 208 
 
 8 
 
 04 
 
 '7559 
 
 59' 
 
 7 
 
 54 
 
 58934 
 
 953 
 
 o 
 
 05 
 
 34819 
 
 845 
 
 4 
 
 55 
 
 07064 
 
 191 
 
 9 
 
 05 
 
 18157 
 
 605 
 
 7 
 
 55 
 
 59888 
 
 953 
 
 
 
 206 
 
 0-33978 
 
 -837 
 
 + 4 
 
 2'56 
 
 0-06882 
 
 -174 
 
 + 9 
 
 306 
 
 0-18768 
 
 + 617 
 
 + 7 
 
 356 
 
 0-60842 
 
 + 953 
 
 o 
 
 07 
 
 33H5 
 
 829 
 
 4 
 
 57 
 
 06716 
 
 158 
 
 8 
 
 07 
 
 19392 
 
 631 
 
 7 
 
 57 
 
 61796 
 
 953 
 
 o 
 
 08 
 
 32320 
 
 821 
 
 5 
 
 58 
 
 06567 
 
 141 
 
 9 
 
 08 
 
 20029 
 
 643 
 
 7 
 
 58 
 
 62750 
 
 953 
 
 - 
 
 09 
 
 31504 
 
 812 
 
 5 
 
 59 
 
 06434 
 
 124 
 
 9 
 
 09 
 
 20679 
 
 656 
 
 6 
 
 59 
 
 63703 
 
 952 
 
 
 1O 
 
 30697 
 
 803 
 
 5 
 
 60 
 
 06319 
 
 108 
 
 8 
 
 1O 
 
 21341 
 
 668 
 
 6 
 
 60 
 
 64654 
 
 95' 
 
 
 2-11 
 
 0-29898 
 
 -794 
 
 + 5 
 
 261 
 
 0-06220 
 
 - 9i 
 
 + 9 
 
 311 
 
 0*22015 
 
 + 680 
 
 + 6 
 
 3-61 
 
 0*65604 
 
 + 949 
 
 _ 
 
 12 
 
 291 10 
 
 784 
 
 5 
 
 62 
 
 06138 
 
 74 
 
 9 
 
 12 
 
 22700 
 
 692 
 
 6 
 
 62 
 
 66552 
 
 947 
 
 
 13 
 
 28331 
 
 774 
 
 5 
 
 63 
 
 06072 
 
 57 
 
 9 
 
 13 
 
 23398 
 
 703 
 
 6 
 
 63 
 
 67498 
 
 945 
 
 
 14 
 
 2756* 
 
 764 
 
 5 
 
 64 
 
 '06024 
 
 40 
 
 9 
 
 14 
 
 24106 
 
 7'4 
 
 6 
 
 64 
 
 68442 
 
 943 
 
 2 
 
 15 
 
 26802 
 
 754 
 
 6 
 
 65 
 
 05993 
 
 23 
 
 9 
 
 15 
 
 24826 
 
 7*5 
 
 6 
 
 65 
 
 69383 
 
 940 
 
 2 
 
 216 
 
 0-26054 
 
 -743 
 
 + 6 
 
 2-66 
 
 0-05979 
 
 - 6 
 
 + 9 
 
 3-16 
 
 0-25556 
 
 + 736 
 
 + 6 
 
 366 
 
 0-70321 
 
 + 937 
 
 - 2 
 
 17 
 
 25316 
 
 733 
 
 5 
 
 67 
 
 05982 
 
 + 12 
 
 9 
 
 17 
 
 26298 
 
 747 
 
 5 
 
 67 
 
 71256 
 
 934 
 
 2 
 
 is 
 
 24589 
 
 722 
 
 6 
 
 68 
 
 06002 
 
 2 9 
 
 9 
 
 18 
 
 27049 
 
 757 
 
 6 
 
 68 
 
 72188 
 
 930 
 
 2 
 
 19 
 
 23872 
 
 711 
 
 6 
 
 69 
 
 06039 
 
 45 
 
 8 
 
 19 
 
 27812 
 
 768 
 
 5 
 
 69 
 
 73116 
 
 926 
 
 2 
 
 2O 
 
 23168 
 
 699 
 
 6 
 
 70 
 
 06092 
 
 62 
 
 9 
 
 2O 
 
 28584 
 
 778 
 
 5 
 
 7O 
 
 74041 
 
 922 
 
 3 
 
 2'21 
 
 0-22476 
 
 -687 
 
 + 6 
 
 271 
 
 0^06163 
 
 + 79 
 
 + 9 
 
 321 
 
 0-29367 
 
 + 787 
 
 + 5 
 
 371 
 
 074960 
 
 + 9'8 
 
 - 2 
 
 22 
 
 21794 
 
 676 
 
 6 
 
 72 
 
 06250 
 
 96 
 
 9 
 
 22 
 
 30158 
 
 796 
 
 5 
 
 72 
 
 75875 
 
 9'3 
 
 3 
 
 23 
 
 21124 
 
 664 
 
 6 
 
 73 
 
 06355 
 
 113 
 
 9 
 
 23 
 
 30957 
 
 806 
 
 5 
 
 73 
 
 76785 
 
 908 
 
 3 
 
 24 
 
 20467 
 
 652 
 
 7 
 
 74 
 
 06476 
 
 129 
 
 8 
 
 24 
 
 31767 
 
 815 
 
 5 
 
 74 
 
 77690 
 
 902 
 
 3 
 
 25 
 
 19822 
 
 639 
 
 6 
 
 75 
 
 06614 
 
 H5 
 
 9 
 
 25 
 
 32586 
 
 823 
 
 4 
 
 75 
 
 78589 
 
 897 
 
 3 
 
 226 
 
 0-19189 
 
 -627 
 
 + 7 
 
 276 
 
 0^06767 
 
 + 163 
 
 + 9 
 
 326 
 
 '334 I 3 
 
 + 832 
 
 + 5 
 
 376 
 
 079483 
 
 + 891 
 
 - 3 
 
 27 
 
 18569 
 
 6.4 
 
 7 
 
 77 
 
 06940 
 
 1 80 
 
 8 
 
 27 
 
 34249 
 
 840 
 
 4 
 
 77 
 
 80370 
 
 885 
 
 3 
 
 28 
 
 17962 
 
 601 
 
 7 
 
 78 
 
 07127 
 
 196 
 
 9 
 
 28 
 
 35093 
 
 848 
 
 4 
 
 78 
 
 81252 
 
 878 
 
 4 
 
 29 
 
 17368 
 
 588 
 
 7 
 
 79 
 
 07332 
 
 212 
 
 8 
 
 29 
 
 '35944 
 
 856 
 
 4 
 
 79 
 
 82127 
 
 871 
 
 4 
 
 30 
 
 16787 
 
 574 
 
 7 
 
 80 
 
 07552 
 
 22 9 
 
 9 
 
 30 
 
 36803 
 
 862 
 
 4 
 
 80 
 
 82995 
 
 864 
 
 4 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 231 
 
 0-16220 
 
 - 560 
 
 + 7 
 
 2-81 
 
 0-07790 
 
 + 246 
 
 + 8 
 
 3-31 
 
 0-37669 
 
 + 869 
 
 + 4 
 
 381 
 
 0-83855 
 
 + 857 
 
 - 4 
 
 32 
 
 15667 
 
 546 
 
 7 
 
 82 
 
 08044 
 
 263 
 
 9 
 
 32 
 
 38542 
 
 876 
 
 4 
 
 82 
 
 84708 
 
 849 
 
 4 
 
 33 
 
 15128 
 
 53 2 
 
 7 
 
 83 
 
 08315 
 
 279 
 
 8 
 
 33 
 
 '394*1 
 
 883 
 
 3 
 
 83 
 
 85554 
 
 842 
 
 4 
 
 34 
 
 14603 
 
 518 
 
 7 
 
 84 
 
 08601 
 
 295 
 
 8 
 
 34 
 
 40307 
 
 889 
 
 4 
 
 84 
 
 86392 
 
 834 
 
 5 
 
 35 
 
 14092 
 
 504 
 
 7 
 
 85 
 
 08904 
 
 311 
 
 8 
 
 35 
 
 41199 
 
 896 
 
 3 
 
 85 
 
 87221 
 
 825 
 
 4 
 
 236 
 
 0-13595 
 
 -489 
 
 + 8 
 
 286 
 
 0-09223 
 
 + 3*7 
 
 + 8 
 
 336 
 
 0-42098 
 
 + 901 
 
 + 3 
 
 386 
 
 0^88042 
 
 + 817 
 
 - 5 
 
 37 
 
 13113 
 
 475 
 
 7 
 
 87 
 
 09558 
 
 343 
 
 8 
 
 37 
 
 43001 
 
 906 
 
 3 
 
 87 
 
 88855 
 
 808 
 
 5 
 
 38 
 
 12644 
 
 461 
 
 8 
 
 88 
 
 09908 
 
 358 
 
 8 
 
 38 
 
 43910 
 
 9" 
 
 3 
 
 88 
 
 89658 
 
 799 
 
 5 
 
 39 
 
 12191 
 
 446 
 
 8 
 
 89 
 
 10274 
 
 374 
 
 8 
 
 39 
 
 44823 
 
 916 
 
 3 
 
 89 
 
 90452 
 
 789 
 
 5 
 
 40 
 
 11753 
 
 431 
 
 8 
 
 9O 
 
 10656 
 
 389 
 
 8 
 
 40 
 
 '4574' 
 
 921 
 
 3 
 
 90 
 
 91236 
 
 778 
 
 5 
 
 241 
 
 0-11330 
 
 -416 
 
 + 8 
 
 2-91 
 
 0-11053 
 
 + 45 
 
 + 8 
 
 3-41 
 
 0*46664 
 
 + 9*5 
 
 + 2 
 
 3-91 
 
 0-92008 
 
 + 769 
 
 5 
 
 42 
 
 10922 
 
 400 
 
 8 
 
 92 
 
 11465 
 
 420 
 
 8 
 
 42 
 
 4759 2 
 
 9*9 
 
 2 
 
 92 
 
 92772 
 
 759 
 
 5 
 
 43 
 
 10530 
 
 385 
 
 8 
 
 93 
 
 11893 
 
 436 
 
 8 
 
 43 
 
 48523 
 
 933 
 
 2 
 
 93 
 
 93527 
 
 749 
 
 5 
 
 44 
 
 10153 
 
 369 
 
 8 
 
 94 
 
 12336 
 
 45i 
 
 8 
 
 44 
 
 '49457 
 
 936 
 
 2 
 
 94 
 
 94271 
 
 739 
 
 6 
 
 45 
 
 09792 
 
 353 
 
 8 
 
 95 
 
 12794 
 
 465 
 
 7 
 
 45 
 
 50395 
 
 939 
 
 2 
 
 95 
 
 95005 
 
 728 
 
 6 
 
 2'46 
 
 0-09447 
 
 -338 
 
 + 8 
 
 2-96 
 
 o - i3266 
 
 + 479 
 
 + 8 
 
 3-46 
 
 0-51336 
 
 + 942 
 
 + I 
 
 396 
 
 0-95727 
 
 + 7'7 
 
 - 6 
 
 47 
 
 09117 
 
 322 
 
 8 
 
 97 
 
 '3753 
 
 495 
 
 8 
 
 47 
 
 52279 
 
 945 
 
 2 
 
 97 
 
 - 9 6 439 
 
 705 
 
 6 
 
 48 
 
 08803 
 
 306 
 
 9 
 
 98 
 
 '4255 
 
 509 
 
 7 
 
 48 
 
 53225 
 
 947 
 
 I 
 
 98 
 
 97139 
 
 694 
 
 6 
 
 49 
 
 08506 
 
 289 
 
 8 
 
 99 
 
 14771 
 
 523 
 
 7 
 
 49 
 
 - 54'73 
 
 949 
 
 I 
 
 99 
 
 97828 
 
 682 
 
 6 
 
 250 
 
 0-08225 
 
 -273 
 
 + 8 
 
 300 
 
 0-15301 
 
 + 537 
 
 + 7 
 
 350 
 
 0-55123 
 
 + 951 
 
 + I 
 
 400 
 
 0-98504 
 
 + 670 
 
 - 6 
 
 Applied Constant : +0-60000. For Eclipses, and as the argument of Table XLVII, the Equation of this Table must be supplemented by those 
 
 of Tables XXXVIII-XLIV. For the other phenomena the Equations of Tables XLV, XLVI must also be applied. 
 
 "7 
 
SATELLITE II 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XXXVIII Equation of Latitude Argument U 
 
 I 
 
 2 
 
 3 
 
 4 
 
 I 
 
 2 
 
 3 
 
 4 
 
 I 
 
 2 
 
 3 
 
 4 
 
 I 
 
 2 
 
 3 
 
 4 
 
 U 
 
 Equa- 
 tion 
 
 A 
 (jd'OI 
 
 i A 2 
 
 U 
 
 Equa- 
 tion 
 
 A 
 O d 'OI 
 
 iA 
 
 U 
 
 Equa- 
 tion 
 
 A 
 Qd'OI 
 
 *AS 
 
 U 
 
 Equa- 
 tion 
 
 A 
 Qd'OI 
 
 A3 
 
 d 
 
 
 
 
 d 
 
 
 
 
 d 
 
 
 
 
 d 
 
 
 
 
 O 00 
 
 0-09000 
 
 + H5 
 
 o 
 
 i-oo 
 
 0-17009 
 
 - 29 
 
 - 2 
 
 200 
 
 0-05832 
 
 -134 
 
 + i 
 
 300 
 
 0-02244 
 
 + 82 
 
 -(- 2 
 
 02 
 
 9289 
 
 H5 
 
 
 
 02 
 
 16947 
 
 34 
 
 j 
 
 02 
 
 55 6 7 
 
 131 
 
 o 
 
 02 
 
 2411 
 
 86 
 
 
 04 
 
 9578 
 
 144 
 
 o 
 
 04 
 
 16874 
 
 39 
 
 2 
 
 O4 
 
 537 
 
 129 
 
 + I 
 
 04 
 
 2586 
 
 90 
 
 
 O6 
 
 9866 
 
 144 
 
 o 
 
 06 
 
 16792 
 
 - 44 
 
 I 
 
 06 
 
 5052 
 
 1*7 
 
 o 
 
 06 
 
 2769 
 
 94 
 
 
 08 
 
 10153 
 
 H3 
 
 o 
 
 08 
 
 16700 
 
 48 
 
 I 
 
 08 
 
 4801 
 
 124 
 
 + I 
 
 08 
 
 2960 
 
 98 
 
 
 1O 
 
 10438 
 
 141 
 
 o 
 
 1O 
 
 16599 
 
 53 
 
 I 
 
 1O 
 
 4556 
 
 122 
 
 o 
 
 10 
 
 3159 
 
 IO2 
 
 
 012 
 
 0-10722 
 
 + 142 
 
 - I 
 
 1 12 
 
 0-16488 
 
 - 58 
 
 - 2 
 
 212 
 
 0-04316 
 
 -119 
 
 + 
 
 3-12 
 
 0-03365 
 
 + 105 
 
 + 
 
 14 
 
 11004 
 
 HI 
 
 o 
 
 14 
 
 16368 
 
 63 
 
 I 
 
 14 
 
 4082 
 
 116 
 
 
 14 
 
 3578 
 
 108 
 
 
 16 
 
 i 1283 
 
 '39 
 
 - I 
 
 16 
 
 16238 
 
 67 
 
 2 
 
 16 
 
 3854 
 
 I 12 
 
 
 16 
 
 3797 
 
 112 
 
 
 18 
 
 11559 
 
 138 
 
 o 
 
 18 
 
 16100 
 
 72 
 
 I 
 
 18 
 
 3633 
 
 IO9 
 
 
 18 
 
 4024 
 
 "5 
 
 
 20 
 
 11832 
 
 136 
 
 - I 
 
 20 
 
 15952 
 
 76 
 
 I 
 
 2O 
 
 3418 
 
 1 06 
 
 
 2O 
 
 4256 
 
 118 
 
 + 
 
 022 
 
 o- 1 2 1 o i 
 
 + 134 
 
 o 
 
 1 22 
 
 0-15796 
 
 - 81 
 
 - 2 
 
 2-22 
 
 0-03210 
 
 - IO2 
 
 + 
 
 322 
 
 0-04494 
 
 + 121 
 
 
 
 24 
 
 12367 
 
 132 
 
 - I 
 
 24 
 
 15631 
 
 85 
 
 
 24 
 
 3010 
 
 9 8 
 
 
 24 
 
 4738 
 
 123 
 
 + I 
 
 26 
 
 12628 
 
 130 
 
 o 
 
 26 
 
 15458 
 
 8 9 
 
 
 26 
 
 2817 
 
 95 
 
 
 26 
 
 4988 
 
 126 
 
 + I 
 
 28 
 
 12885 
 
 128 
 
 - I 
 
 28 
 
 15277 
 
 93 
 
 
 28 
 
 2632 
 
 9 1 
 
 
 28 
 
 5242 
 
 129 
 
 o 
 
 SO 
 
 I3I37 
 
 125 
 
 o 
 
 30 
 
 15088 
 
 97 
 
 
 30 
 
 2455 
 
 87 
 
 
 30 
 
 5501 
 
 '3' 
 
 + I 
 
 0-32 
 
 0-13384 
 
 + 122 
 
 - I 
 
 1-32 
 
 0-14891 
 
 - IOI 
 
 _ 
 
 232 
 
 0*02286 
 
 - 83 
 
 + 
 
 332 
 
 0-05765 
 
 + '33 
 
 o 
 
 34 
 
 13625 
 
 120 
 
 I 
 
 34 
 
 14687 
 
 104 
 
 
 34 
 
 2125 
 
 78 
 
 
 34 
 
 6032 
 
 '35 
 
 + I 
 
 36 
 
 13861 
 
 116 
 
 - I 
 
 36 
 
 14476 
 
 108 
 
 
 36 
 
 '973 
 
 74 
 
 
 36 
 
 6303 
 
 137 
 
 I 
 
 38 
 
 14090 
 
 I'3 
 
 o 
 
 38 
 
 14258 
 
 in 
 
 - 
 
 38 
 
 1830 
 
 69 
 
 
 38 
 
 6578 
 
 139 
 
 + I 
 
 40 
 
 H3I3 
 
 110 
 
 - I 
 
 4O 
 
 '433 
 
 114 
 
 
 
 4O 
 
 1696 
 
 6 5 
 
 
 4O 
 
 6856 
 
 140 
 
 o 
 
 042 
 
 0-14529 
 
 + 107 
 
 - 1 
 
 1 42 
 
 0-13803 
 
 -117 
 
 _ 
 
 242 
 
 0-01571 
 
 - 60 
 
 + 
 
 342 
 
 0-07136 
 
 + 141 
 
 + I 
 
 44 
 
 H739 
 
 103 
 
 I 
 
 44 
 
 13566 
 
 120 
 
 
 44 
 
 '455 
 
 56 
 
 
 44 
 
 7419 
 
 142 
 
 o 
 
 46 
 
 14941 
 
 99 
 
 I 
 
 46 
 
 3323 
 
 123 
 
 
 46 
 
 '349 
 
 5i 
 
 2 
 
 46 
 
 773 
 
 H3 
 
 + I 
 
 48 
 
 15136 
 
 96 
 
 I 
 
 48 
 
 13075 
 
 126 
 
 
 48 
 
 1253 
 
 46 
 
 I 
 
 48 
 
 7990 
 
 144 
 
 o 
 
 50 
 
 15323 
 
 92 
 
 I 
 
 50 
 
 128*2 
 
 128 
 
 O 
 
 50 
 
 1166 
 
 4' 
 
 2 
 
 50 
 
 8278 
 
 144 
 
 o 
 
 O-52 
 
 0-15502 
 
 + 88 
 
 - I 
 
 1-52 
 
 0-12564 
 
 -130 
 
 I 
 
 252 
 
 0-01088 
 
 - 36 
 
 + I 
 
 352 
 
 0-08566 
 
 + 144 
 
 o 
 
 54 
 
 15673 
 
 84 
 
 I 
 
 54 
 
 12301 
 
 132 
 
 o 
 
 54 
 
 IO2I 
 
 S 2 
 
 2 
 
 54 
 
 8855 
 
 '45 
 
 o 
 
 56 
 
 15836 
 
 80 
 
 I 
 
 56 
 
 12035 
 
 134 
 
 I 
 
 56 
 
 964 
 
 26 
 
 I 
 
 56 
 
 9144 
 
 '45 
 
 o 
 
 58 
 
 15990 
 
 75 
 
 I 
 
 58 
 
 11764 
 
 136 
 
 o 
 
 58 
 
 917 
 
 21 
 
 2 
 
 58 
 
 9433 
 
 '45 
 
 o 
 
 6O 
 
 16135 
 
 7i 
 
 I 
 
 60 
 
 11491 
 
 138 
 
 - l 
 
 60 
 
 880 
 
 16 
 
 I 
 
 60 
 
 9722 
 
 144 
 
 o 
 
 O 62 
 
 o'i627i 
 
 + 66 
 
 - I 
 
 1 62 
 
 0*11214 
 
 - 140 
 
 _ , 
 
 262 
 
 O-OO853 
 
 - ii 
 
 + I 
 
 362 
 
 0-10009 
 
 + '43 
 
 o 
 
 64 
 
 16399 
 
 62 
 
 I 
 
 64 
 
 10934 
 
 141 
 
 o 
 
 64 
 
 836 
 
 6 
 
 2 
 
 64 
 
 10295 
 
 '43 
 
 o 
 
 66 
 
 16516 
 
 57 
 
 I 
 
 66 
 
 10652 
 
 142 
 
 I 
 
 66 
 
 830 
 
 i 
 
 I 
 
 66 
 
 10580 
 
 142 
 
 o 
 
 68 
 
 16625 
 
 52 
 
 I 
 
 68 
 
 10368 
 
 '43 
 
 
 
 68 
 
 834 
 
 + 5 
 
 2 
 
 68 
 
 10863 
 
 141 
 
 I 
 
 7O 
 
 16724 
 
 47 
 
 1 
 
 7O 
 
 10082 
 
 144 
 
 - I 
 
 7O 
 
 848 
 
 10 
 
 I 
 
 7O 
 
 11143 
 
 140 
 
 o 
 
 072 
 
 0-16814 
 
 + 43 
 
 - 2 
 
 1 72 
 
 0-09794 
 
 -144 
 
 o 
 
 2-72 
 
 O-OO872 
 
 + '5 
 
 + 2 
 
 372 
 
 0*11421 
 
 + '39 
 
 - I 
 
 74 
 
 16893 
 
 37 
 
 I 
 
 74 
 
 9506 
 
 144 
 
 o 
 
 74 
 
 907 
 
 20 
 
 I 
 
 74 
 
 11696 
 
 '37 
 
 o 
 
 76 
 
 16963 
 
 33 
 
 2 
 
 76 
 
 9217 
 
 4S 
 
 
 
 76 
 
 95 1 
 
 25 
 
 2 
 
 76 
 
 11967 
 
 '35 
 
 . I 
 
 78 
 
 17023 
 
 28 
 
 2 
 
 78 
 
 8928 
 
 '45 
 
 o 
 
 78 
 
 1006 
 
 30 
 
 I 
 
 78 
 
 12234 
 
 '33 
 
 o 
 
 80 
 
 17072 
 
 22 
 
 I 
 
 80 
 
 8639 
 
 H5 
 
 o 
 
 SO 
 
 1071 
 
 35 
 
 I 
 
 so 
 
 12498 
 
 131 
 
 I 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 082 
 
 O'I7I 12 
 
 + 18 
 
 - 2 
 
 1 82 
 
 0-08350 
 
 -144 
 
 o 
 
 282 
 
 0-01145 
 
 -t- 40 
 
 + 2 
 
 3-82 
 
 0-12757 
 
 + 129 
 
 - 1 
 
 84 
 
 J7I4I 
 
 12 
 
 I 
 
 84 
 
 8062 
 
 144 
 
 o 
 
 84 
 
 1230 
 
 45 
 
 I 
 
 84 
 
 1301 1 
 
 126 
 
 o 
 
 86 
 
 I7l6o 
 
 7 
 
 2 
 
 86 
 
 7776 
 
 '43 
 
 o 
 
 86 
 
 1324 
 
 5 
 
 I 
 
 86 
 
 13261 
 
 124 
 
 - I 
 
 88 
 
 17169 
 
 + 2 
 
 I 
 
 88 
 
 749 i 
 
 142 
 
 o 
 
 88 
 
 1428 
 
 54 
 
 I 
 
 88 
 
 13505 
 
 121 
 
 
 9O 
 
 I7l68 
 
 - 3 
 
 2 
 
 90 
 
 7207 
 
 HI 
 
 + I 
 
 90 
 
 1541 
 
 59 
 
 2 
 
 9O 
 
 '3743 
 
 118 
 
 
 092 
 
 OM7I57 
 
 9 
 
 - I 
 
 1 92 
 
 0-06927 
 
 - 140 
 
 o 
 
 292 
 
 0*01664 
 
 + 64 
 
 + I 
 
 392 
 
 0-13976 
 
 + 115 
 
 - 
 
 94 
 
 I7I35 
 
 H 
 
 2 
 
 94 
 
 6648 
 
 139 
 
 + I 
 
 94 
 
 1796 
 
 68 
 
 I 
 
 94 
 
 14202 
 
 112 
 
 
 96 
 
 I7I03 
 
 '9 
 
 I 
 
 96 
 
 6373 
 
 '37 
 
 o 
 
 96 
 
 1936 
 
 73 
 
 2 
 
 96 
 
 14422 
 
 108 
 
 
 98 
 
 I7O6I 
 
 24 
 
 2 
 
 98 
 
 6100 
 
 '35 
 
 + I 
 
 98 
 
 2086 
 
 77 
 
 I 
 
 98 
 
 14634 
 
 105 
 
 
 1 OO 
 
 O-I7OO9 
 
 - 2 9 
 
 - I 
 
 200 
 
 0-05832 
 
 -'34 
 
 o 
 
 300 
 
 0-02244 
 
 + 82 
 
 + 2 
 
 4-00 
 
 0-14840 
 
 + 101 
 
 
 Applied Constant : +0-09000. 
 lit 
 
SATELLITE II 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 xxxix 
 
 Equations of Latitude 
 
 XL 
 
 i 
 
 2 
 
 V 
 
 Equation 
 
 d 
 
 00 
 
 0-00050 
 
 2 
 
 45 
 
 4 
 
 4 1 
 
 6 
 
 38 
 
 8 
 
 36 
 
 10 
 
 37 
 
 1-2 
 
 0-00038 
 
 4 
 
 4' 
 
 6 
 
 46 
 
 8 
 
 5' 
 
 20 
 
 55 
 
 22 
 
 0-00060 
 
 4 
 
 63 
 
 6 
 
 64 
 
 8 
 
 64 
 
 30 
 
 62 
 
 32 
 
 0-00059 
 
 4 
 
 54 
 
 6 
 
 49 
 
 8 
 
 44 
 
 40 
 
 0-00040 
 
 I 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 i 
 
 
 
 3 
 
 i 
 
 2 
 
 3 
 
 W Equation 
 
 A 
 O d 'OI 
 
 W 
 
 Equation 
 
 A 
 O d 'OI 
 
 W 
 
 Equation 
 
 A 
 O d 'OI 
 
 W 
 
 Equation 
 
 A 
 O d 'OI 
 
 d 
 
 
 
 d 
 
 
 
 d 
 
 
 
 d 
 
 
 
 000 
 
 0-00600 
 
 + 7,8 
 
 1 OO 
 
 0-01029 
 
 -i,5 
 
 200 
 
 0-00431 
 
 *7 T 
 /)* 
 
 3-OO 
 
 0*00238 
 
 + 4,5 
 
 04 
 
 631 
 
 7,8 
 
 O4 
 
 IO22 
 
 2,1 
 
 04 
 
 403 
 
 6,9 
 
 04 
 
 257 
 
 4,9 
 
 08 
 
 662 
 
 7,6 
 
 OS 
 
 1012 
 
 2,6 
 
 08 
 
 376 
 
 6,6 
 
 08 
 
 277 
 
 5,1 
 
 12 
 
 692 
 
 7,6 
 
 12 
 
 IOOI 
 
 
 12 
 
 350 
 
 6,4 
 
 12 
 
 298 
 
 5,5 
 
 16 
 
 723 
 
 7,5 
 
 16 
 
 988 
 
 3*, 5 
 
 16 
 
 325 
 
 6,0 
 
 16 
 
 3*1 
 
 6,0 
 
 20 
 
 752 
 
 7,3 
 
 20 
 
 973 
 
 4, 
 
 *2O 
 
 302 
 
 5,6 
 
 20 
 
 34 6 
 
 6,4 
 
 24 
 
 0-00781 
 
 + 7 i 
 
 1 24 
 
 0-00956 
 
 -4,6 
 
 2-24 
 
 0-00280 
 
 -5,3 
 
 324 
 
 0-00372 
 
 + 6,5 
 
 28 
 
 809 
 
 6,8 
 
 28 
 
 936 
 
 5,3 
 
 28 
 
 260 
 
 4,9 
 
 28 
 
 398 
 
 6,8 
 
 32 
 
 835 
 
 6,4 
 
 32 
 
 914 
 
 5,5 
 
 32 
 
 241 
 
 4,5 
 
 32 
 
 426 
 
 7,i 
 
 36 
 
 860 
 
 6,1 
 
 36 
 
 892 
 
 5,6 
 
 36 
 
 224 
 
 4,o 
 
 36 
 
 455 
 
 7-4 
 
 40 
 
 884 
 
 5,9 
 
 40 
 
 869 
 
 5,9 
 
 40 
 
 209 
 
 3,4 
 
 40 
 
 485 
 
 7,5 
 
 O-44 
 
 0-00907 
 
 + 5,5 
 
 1-44 
 
 0-00845 
 
 -6,3 
 
 2-44 
 
 0-00197 
 
 -*,9 
 
 3-44 
 
 0-00515 
 
 + 7,5 
 
 48 
 
 928 
 
 5,- 
 
 48 
 
 819 
 
 6,8 
 
 48 
 
 186 
 
 2,5 
 
 48 
 
 545 
 
 7,8 
 
 52 
 
 948 
 
 4,8 
 
 52 
 
 791 
 
 7, 
 
 52 
 
 177 
 
 2,0 
 
 52 
 
 577 
 
 8,0 
 
 56 
 
 966 
 
 4,4 
 
 56 
 
 763 
 
 7,1 
 
 56 
 
 170 
 
 i,5 
 
 56 
 
 609 
 
 7,6 
 
 60 
 
 983 
 
 3,9 
 
 60 
 
 734 
 
 7,4 
 
 60 
 
 165 
 
 o,9 
 
 6O 
 
 638 
 
 7,5 
 
 064 
 
 0-00997 
 
 + 3,3 
 
 1-64 
 
 0-00704 
 
 -7,5 
 
 264 
 
 0-00163 
 
 -o,3 
 
 3-64 
 
 0-00669 
 
 + 7,8 
 
 68 
 
 1009 
 
 2,8 
 
 68 
 
 674 
 
 7,6 
 
 68 
 
 163 
 
 + 0,3 
 
 68 
 
 6 99 
 
 7,5 
 
 72 
 
 1019 
 
 2,3 
 
 72 
 
 643 
 
 7,6 
 
 72 
 
 165 
 
 0,8 
 
 72 
 
 729 
 
 7,5 
 
 76 
 
 1027 
 
 1,8 
 
 76 
 
 613 
 
 7,8 
 
 76 
 
 169 
 
 i,4 
 
 76 
 
 759 
 
 7,3 
 
 80 
 
 1033 
 
 
 80 
 
 58i 
 
 7,9 
 
 8O 
 
 176 
 
 1,9 
 
 8O 
 
 787 
 
 7,o 
 
 0-84 
 
 0-01037 +0,6 
 
 1 84 
 
 0-00550 
 
 -7,6 
 
 284 
 
 0-00184 
 
 + 2,3 
 
 3-84 
 
 0-00815 
 
 + 6,8 
 
 88 
 
 1037 
 
 o 
 
 88 
 
 520 
 
 7,5 
 
 88 
 
 194 
 
 2,8 
 
 88 
 
 841 
 
 6,4 
 
 92 
 
 1037 
 
 -0,5 
 
 92 
 
 490 
 
 7,5 
 
 92 
 
 206 
 
 3,4 
 
 92 
 
 866 
 
 6,1 
 
 96 
 
 1034 
 
 1,0 
 
 96 
 
 460 
 
 7,4 
 
 96 
 
 221 
 
 4,0 
 
 96 
 
 890 
 
 5,9 
 
 1 -OO 0-01029 
 
 
 200 
 
 0-00431 
 
 
 3 00 
 
 0-00238 
 
 + 4,5 
 
 400 
 
 0-00913 
 
 + 5,6 
 
 Constant: +'00050. 
 
 XLI 
 
 Applied Constant : -j-o'oo6oo. 
 
 XLII 
 
 XLIII 
 
 i 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 X 
 
 Equation 
 
 A 
 
 X 
 
 Equation 
 
 A 
 
 d 
 
 00 
 
 0*00200 
 
 + 18 
 
 d 
 
 20 
 
 0-00160 
 
 - 16 
 
 1 
 
 219 
 
 18 
 
 1 
 
 144 
 
 15 
 
 2 
 
 236 
 
 16 
 
 2 
 
 130 
 
 13 
 
 3 
 
 252 
 
 15 
 
 3 
 
 117 
 
 ii 
 
 4 
 
 267 
 
 4 
 
 4 
 
 108 
 
 9 
 
 5 
 
 280 
 
 '3 
 
 5 
 
 1OI 
 
 5 
 
 O-6 
 
 0-00290 
 
 + 9 
 
 2-6 
 
 0-00098 
 
 - 3 
 
 7 
 
 297 
 
 5 
 
 7 
 
 97 
 
 
 
 8 
 
 302 
 
 + 3 
 
 8 
 
 IOO 
 
 + 4 
 
 9 
 
 33 
 
 o 
 
 9 
 
 1 06 
 
 6 
 
 i-o 
 
 301 
 
 1 
 
 30 
 
 115 
 
 10 
 
 1-1 
 
 0-00296 
 
 - 1 
 
 3'1 
 
 0-00127 
 
 + 12 
 
 2 
 
 288 
 
 9 
 
 2 
 
 140 
 
 IS 
 
 3 
 
 277 
 
 13 
 
 3 
 
 155 
 
 17 
 
 4 
 
 264 
 
 H 
 
 4 
 
 173 
 
 it 
 
 5 
 
 249 
 
 15 
 
 5 
 
 190 
 
 18 
 
 16 
 
 0-00232 
 
 - 16 
 
 3-6 
 
 0-00209 
 
 + 18 
 
 7 
 
 214 
 
 18 
 
 7 
 
 227 
 
 16 
 
 8 
 
 '95 
 
 18 
 
 8 
 
 244 
 
 15 
 
 9 
 
 178 
 
 18 
 
 9 
 
 260 
 
 H 
 
 20 
 
 0-00160 
 
 - 16 
 
 4-0 
 
 0-00273 
 
 + ii 
 
 i 
 
 2 
 
 Y 
 
 Equation 
 
 d 
 
 
 00 
 
 0*00050 
 
 2 
 
 41 
 
 4 
 6 
 
 34 
 28 
 
 8 
 
 25 
 
 i-o 
 
 25 
 
 12 
 
 0-00029 
 
 4 
 
 35 
 
 6 
 
 43 
 
 8 
 2*O 
 
 5* 
 
 61 
 
 22 
 
 0*00068 
 
 4 
 
 73 
 
 6 
 
 75 
 
 8 
 
 74 
 
 3-O 
 
 69 
 
 32 
 
 0-00063 
 
 4 
 6 
 
 55 
 46 
 
 8 
 
 37 
 
 40 
 
 0-00030 
 
 I 
 
 2 
 
 z 
 
 Equation 
 
 d 
 00 
 
 0-00050 
 
 2 
 
 55 
 
 4 
 
 59 
 
 6 
 
 63 
 
 8 
 
 64 
 
 1O 
 
 64 
 
 1-2 
 
 0*00062 
 
 4 
 
 59 
 
 6 
 
 54 
 
 8 
 
 49 
 
 2-0 
 
 45 
 
 22 
 
 0-00040 
 
 4 
 
 38 
 
 6 
 
 36 
 
 8 
 
 36 
 
 30 
 
 38 
 
 32 
 
 0-00042 
 
 4 
 
 46 
 
 6 
 
 5' 
 
 8 
 
 56 
 
 40 
 
 0-00060 
 
 Applied Constant: +0-00200. 
 
 Constant: +'00050. 
 
 Constant: +'00050. 
 
 "9 
 
SATELLITE II 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XLIV Equation of Latitude Argument Q, U 
 
 \Q 
 u\ 
 
 O d -O O d '2 O d '4 
 
 O d 6 Q d 8 1 d O 
 
 1 d -2 1 d '4 1 d -6 
 
 1 d. 8 2 d. o 2 d -2 
 
 2 d -4 2 d -6 2 d '8 
 
 3 d -O 3 d 2 3 d 4 
 
 3 d -6 3 d -8 4 d 'O 
 
 d 
 
 00 
 
 50 jo 50 
 
 50 50 50 
 
 5 5 5 
 
 50 50 50 
 
 50 50 50 
 
 50 50 50 
 
 50 50 50 
 
 2 
 
 44 45 49 
 
 53 56 S 6 
 
 53 49 45 
 
 44 46 50 
 
 54 5<5 55 
 
 52 48 45 
 
 44 46 50 
 
 4 
 
 38 41 48 
 
 56 61 61 
 
 55 47 4 1 
 
 38 4* 49 
 
 57 61 60 
 
 54 46 40 
 
 38 43 50 
 
 6 
 
 34 38 48 
 
 58 65 64 
 
 57 46 37 
 
 34 39 49 
 
 59 65 64 
 
 S^ 45 36 
 
 35 4 5 
 
 8 
 
 32 36 47 
 
 59 67 66 
 
 58 46 36 
 
 32 38 49 
 
 61 67 66 
 
 57 44 35 
 
 32 39 50 
 
 1O 
 
 32 37 47 
 
 59 67 66 
 
 58 46 36 
 
 32 38 49 
 
 60 67 66 
 
 56 44 35 
 
 33 39 5 
 
 1-2 
 
 35 38 48 
 
 58 65 64 
 
 57 46 38 
 
 35 39 49 
 
 59 6 5 64 
 
 56 45 37 
 
 35 4 5 
 
 4 
 
 39 42 48 
 
 56 61 60 
 
 55 47 4 1 
 
 39 42 49 
 
 57 61 60 
 
 54 46 40 
 
 39 43 5 
 
 6 
 
 44 4 6 49 
 
 53 55 55 
 
 52 49 46 
 
 45 46 50 
 
 53 55 55 
 
 52 4 8 45 
 
 45 46 50 
 
 8 
 
 51 51 50 
 
 5 49 49 
 
 50 50 51 
 
 51 51 50 
 
 50 49 49 
 
 50 50 49 
 
 49 49 5 
 
 2-0 
 
 57 55 Si 
 
 46 43 44 
 
 47 52 5 6 
 
 57 55 5 
 
 4 6 43 44 
 
 47 52 56 
 
 57 54 50 
 
 2-2 
 
 62 59 52 
 
 44 38 39 
 
 44 53 60 
 
 62 59 51 
 
 43 38 39 
 
 45 54 61 
 
 62 58 50 
 
 4 
 
 66 62 52 
 
 4* 35 35 
 
 43 54 6 3 
 
 66 6 i 51 
 
 40 34 36 
 
 44 55 64 
 
 66 60 50 
 
 6 
 
 68 64 53 
 
 41 33 33 
 
 42 54 65 
 
 68 63 51 
 
 39 33 34 
 
 43 56 65 
 
 68 61 50 
 
 8 
 
 68 63 53 
 
 4 1 33 34 
 
 42 54 64 
 
 67 62 51 
 
 4 33 35 
 
 44 56 65 
 
 67 61 50 
 
 3-D 
 
 65 61 52 
 
 42 36 36 
 
 43 54 62 
 
 65 60 51 
 
 4' 35 37 
 
 44 55 63 
 
 65 59 50 
 
 3-2 
 
 61 58 52 
 
 44 40 40 
 
 45 53 59 
 
 60 57 51 
 
 44 4 4' 
 
 4 6 53 59 
 
 60 57 50 
 
 4 
 
 55 54 5 1 
 
 48 46 46 
 
 48 51 54 
 
 54 53 5 
 
 47 45 46 
 
 48 52 54 
 
 55 53 5 
 
 6 
 
 48 49 5 
 
 5! 52 52 
 
 51 50 49 
 
 48 49 50 
 
 51 52 51 
 
 50 49 49 
 
 48 49 50 
 
 8 
 
 42 44 49 
 
 54 57 57 
 
 53 48 44 
 
 42 45 49 
 
 55 58 57 
 
 53 4 8 43 
 
 42 45 50 
 
 4O 
 
 37 4 48 
 
 57 62 62 
 
 56 47 40 
 
 37 4 1 49 
 
 58 63 61 
 
 55 4<5 39 
 
 37 42 50 
 
 The unit in this Table equals o'ooooi. 
 
 Applied Constant : +o'oooso. 
 
 XLV 
 Occultations and Transits 
 
 To correct for the Jovicentric Latitude 
 of the Earth, the Satellite's Latitude as 
 derived from Tables XXXVII-XLIV, must 
 be supplemented by the term 
 
 XLVI Sh., Tr. 
 
 XLVII 
 
 -229003 E! sin (0- a)/ A J + jj- 
 (9-359841) 
 
 where R x , A are the Geocentric Distances of 
 the Sun and Jupiter respectively, and R the 
 Ascending Node of Jupiter's Orbit on the 
 Ecliptic, (Table C). For Occultations em- 
 ploy the natural sign, for Transits the 
 reversed sign. 
 
 . 
 
 2 
 
 Lat. 
 
 Corr n . Sh., Tr. 
 
 00 
 
 - -OOI2I 
 
 1 
 
 104 
 
 2 
 
 87 
 
 3 
 
 69 
 
 4 
 
 52 
 
 5 
 
 35 
 
 06 
 
 - -00018 
 
 7 
 
 o 
 
 8 
 
 + -00018 
 
 9 
 
 35 
 
 10 
 
 5 Z 
 
 11 
 
 + -00069 
 
 2 
 
 87 
 
 3 
 
 104 
 
 14 
 
 + -OOI2I 
 
 This Correction to be applied 
 to Latitude as found from 
 Tables XXXVII-XLV, 
 before using as Argu- 
 ment of Semiduration for 
 Shadows and Transits, 
 no 
 
 I 
 
 2 
 
 3 
 
 4 
 
 Lat. 
 
 Angle 
 
 Lat. 
 
 A 
 O'OI 
 
 000 
 
 - 39968 + 
 
 1 40 
 
 569,1 
 
 05 
 
 3-7121 
 
 35 
 
 5 6 9,5 
 
 10 
 
 3-4273 
 
 30 
 
 569,9 
 
 15 
 
 3-1422 
 
 25 
 
 570,2 
 
 20 
 
 2-8571 
 
 20 
 
 5 7, 5 
 
 25 
 
 2-5718 
 
 15 
 
 570,7 
 
 030 
 
 - 2-2864 + 
 
 1-10 
 
 57i,o 
 
 35 
 
 2"ooo8 
 
 O5 
 
 57i,2 
 
 4O 
 
 1-7152 
 
 1 OO 
 
 571,4 
 
 45 
 
 1-4294 
 
 095 
 
 57i,6 
 
 50 
 
 1-1436 
 
 9O 
 
 57i,7 
 
 055 
 
 - 0-8577 + 
 
 085 
 
 571,8 
 
 6O 
 
 0-5718 
 
 80 
 
 57L8 
 
 65 
 
 - 0-2859 + 
 
 75 
 
 57i,8 
 
 070 
 
 O'OOOO 
 
 O70 
 
 57',8 
 
 This Table shows the Angle of the Satellite above 
 Jupiter's Orbit, which corresponds to the Lati- 
 tude as taken from Tables XXXVH-XLIV. 
 
SATELLITE II 
 
 Tables 
 
 of the 
 
 Synodic Motion, 
 
 Duration of the Phenomena of Eclipse, 
 Occultation, Transit and Shadow-Transit, 
 
 with 
 
 Equations for Reduction to the Middle 
 
 and the 
 
 Light-Curve of Eclipse 
 
 16 
 
SATELLITE II 
 
 Tables of Synodic Motion 
 XLVIII 
 
 I 
 
 2 
 
 i 
 
 2 
 
 i 
 
 2 
 
 
 
 2 
 
 i 
 
 2 
 
 Angle 
 
 Syn. Value 
 
 Angle 
 
 Syn. Value 
 
 Angle 
 
 Syn. Value 
 
 Angle 
 
 Syn. Value 
 
 Angle 
 
 Syn. Value 
 
 
 
 0000 
 
 d 
 
 oooooc 
 
 o 
 
 0020 
 
 d 
 
 000197 
 
 o 
 
 0040 
 
 d 
 
 000395 
 
 
 
 0060 
 
 d 
 
 000592 
 
 o 
 0080 
 
 d 
 
 000790 
 
 1 
 
 10 
 
 21 
 
 207 
 
 41 
 
 405 
 
 61 
 
 602 
 
 81 
 
 800 
 
 2 
 
 20 
 
 22 
 
 217 
 
 42 
 
 4>5 
 
 62 
 
 612 
 
 82 
 
 810 
 
 3 
 
 3 
 
 23 
 
 227 
 
 43 
 
 425 
 
 63 
 
 622 
 
 83 
 
 819 
 
 4 
 
 39 
 
 24 
 
 237 
 
 44 
 
 434 
 
 64 
 
 632 
 
 84 
 
 829 
 
 5 
 
 49 
 
 25 
 
 2 47 
 
 45 
 
 444 
 
 65 
 
 642 
 
 85 
 
 839 
 
 0-006 
 
 000059 
 
 0-026 
 
 000257 
 
 0046 
 
 000454 
 
 0066 
 
 000652 
 
 0086 
 
 000849 
 
 7 
 
 69 
 
 27 
 
 267 
 
 47 
 
 464 
 
 67 
 
 66 1 
 
 87 
 
 859 
 
 8 
 
 79 
 
 28 
 
 276 
 
 48 
 
 474 
 
 68 
 
 671 
 
 88 
 
 869 
 
 9 
 
 89 
 
 29 
 
 286 
 
 49 
 
 484 
 
 69 
 
 681 
 
 89 
 
 879 
 
 1O 
 
 99 
 
 3O 
 
 296 
 
 50 
 
 494 
 
 7O 
 
 691 
 
 9O 
 
 889 
 
 0-011 
 
 000109 
 
 0031 
 
 000306 
 
 0051 
 
 000503 
 
 0071 
 
 000701 
 
 0091 
 
 000898 
 
 12 
 
 III 
 
 32 
 
 316 
 
 52 
 
 5'3 
 
 72 
 
 711 
 
 92 
 
 908 
 
 13 
 
 128 
 
 33 
 
 3*6 
 
 53 
 
 523 
 
 73 
 
 721 
 
 93 
 
 918 
 
 14 
 
 138 
 
 34 
 
 336 
 
 54 
 
 533 
 
 74 
 
 73' 
 
 94 
 
 928 
 
 15 
 
 148 
 
 35 
 
 346 
 
 55 
 
 543 
 
 75 
 
 740 
 
 95 
 
 938 
 
 0016 
 
 000158 
 
 0036 
 
 000355 
 
 0056 
 
 000553 
 
 0076 
 
 000750 
 
 0096 
 
 000948 
 
 17 
 
 168 
 
 37 
 
 365 
 
 57 
 
 563 
 
 77 
 
 760 
 
 97 
 
 958 
 
 18 
 
 178 
 
 38 
 
 375 
 
 58 
 
 573 
 
 78 
 
 770 
 
 98 
 
 968 
 
 19 
 
 188 
 
 39 
 
 385 
 
 59 
 
 582 
 
 79 
 
 780 
 
 99 
 
 977 
 
 0020 
 
 000197 
 
 0040 
 
 000395 
 
 0060 
 
 000592 
 
 0080 
 
 000790 
 
 O 100 
 
 000987 
 
 XLIX 
 
 I 
 
 2 
 
 Angle 
 
 Syn. Value 
 
 
 
 00 
 
 d 
 
 oooooo 
 
 1 
 
 987 
 
 2 
 
 '974 
 
 3 
 
 2962 
 
 4 
 
 3949 
 
 5 
 
 4936 
 
 06 
 
 005923 
 
 7 
 
 6911 
 
 8 
 
 7898 
 
 9 
 
 8885 
 
 i-o 
 
 009872 
 
 These Tables show the time taken to describe a given angle, with the Mean 
 Synodic Motion. They are to be used for converting into time the Complement 
 or excess of Jupiter's longitude over that of the Satellite at an assumed approxi- 
 mate time of conjunction. 
 
 To allow for the trve Synodic Motion modify the entry of the table by adding 
 to it its product by the Variation as taken from Tables XXX III XXXVI. 
 
SATELLITE II 
 
 Tables of the Phenomena 
 
 Semiduration 
 
 Argument Latitude 
 
 I 
 
 2 
 
 3 
 
 4 
 
 5 
 
 l.iit. 
 
 Eel, Oc. 
 
 A 
 
 ooi 
 
 Corr". 
 Sh., Tr 
 
 Lat. 
 
 
 d 
 
 
 
 
 ooo 
 
 0-04241 I 
 
 59, 
 
 74 
 
 1 400 
 
 005 
 
 42704 
 
 58,3 
 
 74 
 
 395 
 
 01 o 
 
 42994 
 
 57,6 
 
 75 
 
 39O 
 
 O1 5 
 
 43280 
 
 56,8 
 
 75 
 
 385 
 
 O2O 
 
 43562 
 
 56,0 
 
 76 
 
 38O 
 
 025 
 
 43840 
 
 55,2 
 
 76 
 
 375 
 
 03O 
 
 0^0441 14 
 
 54,4 
 
 - 77 
 
 1-37O 
 
 O35 
 
 44384 
 
 53,7 
 
 77 
 
 365 
 
 040 
 
 44651 
 
 S3,' 
 
 78 
 
 360 
 
 O45 
 
 449 '5 
 
 5 2 ,4 
 
 78 
 
 355 
 
 05O 
 
 45'75 
 
 51,6 
 
 79 
 
 35O 
 
 055 
 
 0-045431 
 
 S. 
 
 - 79 
 
 1 345 
 
 060 
 
 45685 
 
 50,3 
 
 80 
 
 340 
 
 065 
 
 45935 
 
 49,5 
 
 80 
 
 335 
 
 070 
 
 46181 
 
 49. 
 
 80 
 
 330 
 
 075 
 
 46424 
 
 48,4 
 
 81 
 
 325 
 
 080 
 
 0-046665 
 
 47,7 
 
 - 81 
 
 1 320 
 
 085 
 
 46902 
 
 47,o 
 
 82 
 
 315 
 
 090 
 
 47135 
 
 46,4 
 
 82 
 
 31 
 
 O95 
 
 47366 
 
 45,8 
 
 82 
 
 305 
 
 too 
 
 47593 
 
 45,* 
 
 83 
 
 30O 
 
 105 
 
 0-047818 
 
 44,7 
 
 - 83 
 
 1 295 
 
 110 
 
 48040 
 
 44, 1 
 
 83 
 
 290 
 
 115 
 
 48259 
 
 43,5 
 
 84 
 
 285 
 
 12O 
 
 48475 
 
 43,o 
 
 84 
 
 280 
 
 125 
 
 48689 
 
 4 2 ,5 
 
 85 
 
 275 
 
 13O 
 
 0-048900 
 
 4i,9 
 
 - 85 
 
 1 270 
 
 135 
 
 49108 
 
 4i,4 
 
 85 
 
 265 
 
 140 
 
 493H 
 
 40,8 
 
 86 
 
 26O 
 
 145 
 
 495 '7 
 
 40,2 
 
 86 
 
 255 
 
 150 
 
 49716 
 
 39,7 
 
 86 
 
 250 
 
 155 
 
 0-049914 
 
 39-3 
 
 - 87 
 
 1-245 
 
 16O 
 
 50109 
 
 38,7 
 
 87 
 
 24O 
 
 165 
 
 50302 
 
 38,2 
 
 88 
 
 235 
 
 17O 
 
 50491 
 
 37,7 
 
 88 
 
 23O 
 
 175 
 
 50679 
 
 37,3 
 
 88 
 
 225 
 
 ISO 
 
 0-050864 
 
 36,7 
 
 - 89 
 
 1 220 
 
 185 
 
 51046 
 
 36,2 
 
 89 
 
 215 
 
 190 
 
 51226 
 
 35,8 
 
 89 
 
 210 
 
 195 
 
 51404 
 
 35,4 
 
 89 
 
 205 
 
 200 
 
 51580 
 
 34,8 
 
 90 
 
 200 
 
 205 
 
 0-051753 
 
 34,3 
 
 - 9 
 
 1-195 
 
 21O 
 
 59 2 3 
 
 33,9 
 
 90 
 
 19O 
 
 215 
 
 52092 
 
 33,5 
 
 9 1 
 
 185 
 
 22O 
 
 52258 
 
 33,o 
 
 9 1 
 
 ISO 
 
 225 
 
 52422 
 
 32,6 
 
 9' 
 
 175 
 
 23O 
 
 0-052584 
 
 3*, i 
 
 - 9* 
 
 1-1 7O 
 
 235 
 
 52744 
 
 31,7 
 
 92 
 
 165 
 
 24O 
 
 52901 
 
 3i,3 
 
 92 
 
 16O 
 
 245 
 
 53056 
 
 30,9 
 
 92 
 
 155 
 
 25O 
 
 0-053210 
 
 30,4 
 
 - 93 
 
 1-1 SO 
 
 
 
 2 
 
 3 
 
 4 
 
 5 
 
 Lat. 
 
 Eel., Oc. 
 
 A 
 
 ooi 
 
 Corr". 
 Sh., Tr 
 
 Lai 
 
 
 d 
 
 
 
 
 250 
 
 0-053210 
 
 30,4 
 
 - 93 
 
 1-150 
 
 255 
 
 53360 
 
 30,0 
 
 93 
 
 145 
 
 260 
 
 53510 
 
 29,5 
 
 93 
 
 140 
 
 265 
 
 53656 
 
 2 9 ,I 
 
 93 
 
 135 
 
 27O 
 
 53801 
 
 28,7 
 
 94 
 
 ISO 
 
 275 
 
 53944 2 8,3 
 
 94 
 
 125 
 
 280 
 
 0-054084 
 
 27,9 
 
 - 94 
 
 1-1 2O 
 
 285 
 
 54 22 3 
 
 27,6 
 
 94 
 
 115 
 
 29O 
 
 54360 
 
 27,2 
 
 95 
 
 110 
 
 295 
 
 54495 
 
 26,8 
 
 95 
 
 1O5 
 
 30O 
 
 54628 
 
 26,3 
 
 95 
 
 IOO 
 
 305 
 
 0-054758 
 
 25,9 
 
 - 95 
 
 1-095 
 
 31 
 
 54887 
 
 2 5,5 
 
 96 
 
 090 
 
 315 
 
 55014 
 
 25,2 
 
 96 
 
 085 
 
 320 
 
 55139 
 
 24,8 
 
 96 
 
 080 
 
 325 
 
 55262 
 
 H,4 
 
 96 
 
 075 
 
 330 
 
 0-055383 
 
 24,0 
 
 - 96 
 
 1 070 
 
 335 
 
 55502 
 
 23,6 
 
 97 
 
 065 
 
 340 
 
 55619 
 
 23, 2 
 
 97 
 
 O6O 
 
 345 
 
 55735 
 
 22,9 
 
 97 
 
 O55 
 
 350 
 
 55848 
 
 22,6 
 
 97 
 
 O50 
 
 355 
 
 0-055960 
 
 22,3 
 
 - 97 
 
 1 045 
 
 360 
 
 56071 
 
 21,8 
 
 98 
 
 O4O 
 
 365 
 
 56179 
 
 21,4 
 
 98 
 
 O35 
 
 37O 
 
 56285 
 
 21,1 
 
 98 
 
 030 
 
 375 
 
 5639 
 
 20,8 
 
 98 
 
 O25 
 
 38O 
 
 0-056493 
 
 20,4 
 
 - 98 
 
 1 020 
 
 385 
 
 56594 
 
 20,0 
 
 98 
 
 015 
 
 390 
 
 56693 
 
 19,6 
 
 99 
 
 010 
 
 395 
 
 56791 
 
 19,3 
 
 99 
 
 OO5 
 
 400 
 
 56886 
 
 19,0 
 
 99 
 
 1 000 
 
 4O5 
 
 0-056981 
 
 1 8,7 
 
 - 99 
 
 0-995 
 
 41 
 
 57073 
 
 18,3 
 
 99 
 
 99O 
 
 415 
 
 57164 
 
 7,9 
 
 IOO 
 
 985 
 
 420 
 
 57252 
 
 17,6 
 
 IOO 
 
 98O 
 
 425 
 
 57340 
 
 17,3 
 
 IOO 
 
 975 
 
 430 
 
 0-057425 
 
 1 6,9 
 
 IOO 
 
 O 970 
 
 435 
 
 S759 
 
 16,6 
 
 IOO 
 
 965 
 
 440 
 
 5759 1 
 
 I 6, 2 
 
 IOO 
 
 96O 
 
 445 
 
 57671 
 
 '5,9 
 
 IOO 
 
 955 
 
 450 
 
 5775 
 
 15,6 
 
 IOI 
 
 95O 
 
 455 
 
 0-057827 
 
 15,3 
 
 - IOI 
 
 945 
 
 46O 
 
 57903 
 
 H,9 
 
 IOI 
 
 94O 
 
 465 
 
 57977 
 
 14,6 
 
 IOI 
 
 935 
 
 470 
 
 58049 
 
 14,2 
 
 IOI 
 
 93O 
 
 475 
 
 58119 
 
 13,9 
 
 IOI 
 
 925 
 
 48O 
 
 0-058188 
 
 i3,6 
 
 - IOI 
 
 920 
 
 485 
 
 58256 
 
 '3,3 
 
 101 
 
 915 
 
 490 
 
 58321 
 
 13,0 
 
 IOI 
 
 91 
 
 495 
 
 58385 
 
 "2,7 
 
 IO2 
 
 905 
 
 500 
 
 0-058448 
 
 12,3 
 
 - IO2 
 
 900 
 
 i 
 
 t 
 
 3 
 
 4 
 
 5 
 
 Lat. 
 
 Eel., Oc. 
 
 A 
 
 ooi 
 
 Corr". 
 Sh.,Tr 
 
 Lat. 
 
 
 d 
 
 
 
 
 5OO 
 
 0-058448 
 
 12,3 
 
 - 102 
 
 900 
 
 505 
 
 58508 
 
 11,9 
 
 IO2 
 
 895 
 
 510 
 
 58567 
 
 n,6 
 
 I O2 
 
 890 
 
 515 
 
 58626 
 
 u,4 
 
 102 
 
 885 
 
 52O 
 
 58681 
 
 ii, i 
 
 102 
 
 880 
 
 525 
 
 58736 
 
 10,8 
 
 102 
 
 875 
 
 530 
 
 0-058789 
 
 10,4 
 
 - 102 
 
 870 
 
 535 
 
 58840 
 
 10,0 
 
 IO2 
 
 865 
 
 540 
 
 58889 
 
 9.7 
 
 102 
 
 860 
 
 545 
 
 58938 
 
 9,5 
 
 I O2 
 
 855 
 
 55O 
 
 58984 
 
 9, 2 
 
 I0 3 
 
 850 
 
 555 
 
 0-059029 
 
 8,9 
 
 - IO3 
 
 845 
 
 560 
 
 5973 
 
 8,5 
 
 103 
 
 840 
 
 565 
 
 59114 
 
 8,1 
 
 103 
 
 835 
 
 570 
 
 59'54 
 
 7,9 
 
 103 
 
 830 
 
 575 
 
 59'94 
 
 7,7 
 
 I0 3 
 
 825 
 
 580 
 
 0-059231 
 
 7,4 
 
 -103 
 
 820 
 
 585 
 
 59267 
 
 7,o 
 
 103 
 
 815 
 
 590 
 
 593i 
 
 6,7 
 
 103 
 
 81 
 
 595 
 
 59333 
 
 6,4 
 
 103 
 
 8O5 
 
 6OO 
 
 59365 
 
 6,1 
 
 103 
 
 800 
 
 60S 
 
 0-059394 
 
 5,7 
 
 -103 
 
 795 
 
 610 
 
 59422 
 
 5,4 
 
 103 
 
 790 
 
 615 
 
 59449 
 
 5,i 
 
 103 
 
 785 
 
 62O 
 
 59473 
 
 4,8 
 
 IO4 
 
 780 
 
 625 
 
 59497 
 
 4,5 
 
 IO4 
 
 775 
 
 630 
 
 0-059518 
 
 4,3 
 
 - IO4 
 
 770 
 
 635 
 
 59539 
 
 4,o 
 
 IO4 
 
 765 
 
 64O 
 
 59558 
 
 3,7 
 
 IO4 
 
 760 
 
 645 
 
 59576 
 
 3,4 
 
 IO4 
 
 755 
 
 65O 
 
 59S9 2 
 
 3, 
 
 IO4 
 
 75O 
 
 655 
 
 0-059606 
 
 2 ,7 
 
 - 104 
 
 745 
 
 66O 
 
 59619 
 
 2 ,4 
 
 104 
 
 740 
 
 665 
 
 59630 
 
 2,1 
 
 104 
 
 735 
 
 67O 
 
 59640 
 
 1,8 
 
 104 
 
 730 
 
 675 
 
 59648 
 
 i,5 
 
 IO4 
 
 725 
 
 680 
 
 0-059655 
 
 1,2 
 
 - IO4 
 
 720 
 
 685 
 
 59660 
 
 ,9 
 
 I0 4 
 
 715 
 
 69O 
 
 59664 
 
 0,6 
 
 IO4 
 
 710 
 
 695 
 
 59666 
 
 o,3 
 
 IO4 
 
 7O5 
 
 700 
 
 0-059667 
 
 0,0 
 
 - 104 
 
 70O 
 
 LI Equation of Semiduration 
 
 Applied Constant : - '00700. The Argument is the Latitude as derived from Tables XXXVII-XLVI. For Shadows and 
 Transits the correction in Col. 4 must be applied to the entry In Col. 2. The entry must be corrected further by the 
 Equations of Tables LI-LVI. For Shadows and Transits it must also be corrected for Jupiter's Phase by Table LXVI. 
 
 123 
 
 I 
 
 2 
 
 i 
 
 2 
 
 a 
 
 Eel., Oc. 
 
 a 
 
 Eel., Oc. 
 
 O 
 
 d 
 
 + 0^000007 
 
 2500 
 
 d 
 - O-OOO006 
 
 500 
 
 + 5 
 
 30OO 
 
 - 2 
 
 1OOO 
 
 + i 
 
 35OO 
 
 + 2 
 
 15OO 
 
 4 
 
 4000 
 
 + 6 
 
 2000 
 
 - 0-000007 
 
 4500 
 
 + O-OOOO07 
 
 No Constant has been added. 
 
LII 
 
 SATELLITE II 
 
 Tables of the Phenomena 
 
 Equations of Semiduration 
 
 LIII 
 
 Oc., Tr. 
 
 I 
 
 2 
 
 ft 
 
 E., 0., S., T. 
 
 d 
 
 o 
 
 d 
 O'OOOOIO 
 
 20 
 
 12 
 
 4O 
 
 13 
 
 6O 
 
 H 
 
 8O 
 
 IS 
 
 1OO 
 
 15 
 
 12O 
 
 0-000015 
 
 14O 
 
 4 
 
 160 
 
 13 
 
 ISO 
 
 12 
 
 200 
 
 IO 
 
 22O 
 
 O'OOOOOS 
 
 240 
 
 7 
 
 260 
 
 6 
 
 28O 
 
 5 
 
 3OO 
 
 5 
 
 320 
 
 0-000005 
 
 34O 
 
 6 
 
 360 
 
 7 
 
 380 
 
 8 
 
 40O 
 
 O'OOOOIO 
 
 N. Lat. 
 
 rV 
 
 x 
 
 00 
 1-4O 
 
 IO 
 
 130 
 
 2O 
 
 1 20 
 
 30 
 1 IO 
 
 40 
 1 00 
 
 50 
 90 
 
 6O 
 
 80 
 
 7O 
 
 d 
 
 O 
 
 H 
 
 13 
 
 12 
 
 II 
 
 10 
 
 10 
 
 10 
 
 10 
 
 20 
 
 H 
 
 13 
 
 12 
 
 II 
 
 IO 
 
 10 
 
 10 
 
 IO 
 
 4O 
 
 1 1 
 
 IO 
 
 9 
 
 9 
 
 8 
 
 8 
 
 8 
 
 8 
 
 6O 
 
 8 
 
 8 
 
 7 
 
 7 
 
 6 
 
 6 
 
 6 
 
 6 
 
 SO 
 
 4 
 
 4 
 
 3 
 
 3 
 
 3 
 
 3 
 
 3 
 
 3 
 
 100 
 
 o 
 
 o 
 
 o 
 
 o 
 
 
 
 o 
 
 o 
 
 o 
 
 12O 
 
 + 4 
 
 + 4 
 
 + 3 
 
 + 3 
 
 + 3 
 
 + 3 
 
 + 3 
 
 + 3 
 
 14O 
 
 8 
 
 8 
 
 7 
 
 7 
 
 6 
 
 6 
 
 6 
 
 6 
 
 160 
 
 ii 
 
 IO 
 
 9 
 
 9 
 
 8 
 
 8 
 
 8 
 
 8 
 
 ISO 
 
 H 
 
 13 
 
 12 
 
 1 1 
 
 IO 
 
 IO 
 
 10 
 
 IO 
 
 2OO 
 
 H 
 
 13 
 
 12 
 
 ii 
 
 10 
 
 IO 
 
 IO 
 
 10 
 
 22O 
 
 + 13 
 
 + ii 
 
 + 10 
 
 + 10 
 
 + 9 
 
 + 9 
 
 + 9 
 
 + 9 
 
 24O 
 
 ii 
 
 10 
 
 9 
 
 9 
 
 8 
 
 8 
 
 8 
 
 8 
 
 26O 
 
 8 
 
 8 
 
 7 
 
 7 
 
 6 
 
 6 
 
 6 
 
 6 
 
 28O 
 
 + 4 
 
 + 4 
 
 + 3 
 
 + 3 
 
 + 3 
 
 + 3 
 
 + 3 
 
 + 3 
 
 3OO 
 
 o 
 
 o 
 
 o 
 
 o 
 
 
 
 o 
 
 o 
 
 
 
 32O 
 
 4 
 
 4 
 
 3 
 
 3 
 
 3 
 
 3 
 
 3 
 
 3 
 
 340 
 
 8 
 
 8 
 
 7 
 
 7 
 
 6 
 
 6 
 
 6 
 
 6 
 
 36O 
 
 ii 
 
 10 
 
 9 
 
 9 
 
 8 
 
 8 
 
 8 
 
 8 
 
 38O 
 
 H 
 
 13 
 
 12 
 
 ii 
 
 IO 
 
 IO 
 
 IO 
 
 IO 
 
 4OO 
 
 14 
 
 13 
 
 12 
 
 ii 
 
 10 
 
 10 
 
 + 10 
 
 10 
 
 Constant: +o a 'ooooio. 
 
 tfo Constant has been added. The unit is o a- oooooi. The upper sign applies for Occultations, 
 and the lower for Transits. 
 
 LIV 
 
 Eel., Oc. 
 
 \u 
 
 Q\ 
 
 \ 
 
 O d. o O d. 2 Q d 4 
 
 O d. 6 O d. 8 1 d. o 
 
 1 d -2 1 d< 4 1 d '6 
 
 1 d. 8 2 d. o 2 d -2 
 
 2 d -4 2 d> 6 2 d '8 
 
 3 d. o 3 d. 2 3d. 4 
 
 3 d -6 3 d '8 4 d 'O 
 
 d 
 
 
 
 
 
 
 
 
 00 
 
 60 60 60 
 
 60 60 60 
 
 60 60 60 
 
 60 60 60 
 
 60 60 60 
 
 60 60 60 
 
 60 60 60 
 
 0-2 
 
 63 64 64 
 
 65 65 64 
 
 64 63 62 
 
 6 i 6 i 60 
 
 60 60 60 
 
 61 61 62 
 
 63 64 65 
 
 04 
 
 68 69 70 
 
 70 70 69 
 
 68 66 65 
 
 63 62 61 
 
 61 62 63 
 
 64 66 67 
 
 68 69 70 
 
 06 
 
 69 70 70 
 
 71 70 69 
 
 68 66 64 
 
 63 62 62 
 
 61 62 63 
 
 65 66 68 
 
 69 70 71 
 
 08 
 
 66 67 67 
 
 68 68 67 
 
 67 66 64 
 
 63 62 62 
 
 61 61 62 
 
 63 64 65 
 
 66 67 67 
 
 10 
 
 63 64 66 
 
 67 67 68 
 
 68 67 66 
 
 66 64 63 
 
 62 61 61 
 
 61 62 62 
 
 64 65 66 
 
 1-2 
 
 63 64 66 
 
 68 69 70 
 
 71 71 70 
 
 69 67 66 
 
 64 63 6 i 
 
 61 61 62 
 
 63 65 67 
 
 1-4 
 
 63 64 66 
 
 67 68 69 
 
 70 69 69 
 
 67 66 64 
 
 63 62 61 
 
 61 61 62 
 
 63 64 66 
 
 1-6 
 
 61 62 63 
 
 64 64 64 
 
 64 64 63 
 
 63 62 61 
 
 60 59 59 
 
 59 60 60 
 
 61 62 63 
 
 18 
 
 60 60 60 
 
 60 60 60 
 
 60 60 60 
 
 60 60 60 
 
 61 61 61 
 
 60 60 60 
 
 60 60 60 
 
 20 
 
 6 i 60 60 
 
 59 59 60 
 
 61 62 63 
 
 64 65 66 
 
 66 66 65 
 
 64 63 62 
 
 6 1 60 60 
 
 22 
 
 63 62 61 
 
 61 62 63 
 
 64 66 67 
 
 69 70 70 
 
 70 70 69 
 
 67 66 64 
 
 63 62 61 
 
 2-4 
 
 63 62 61 
 
 61 62 63 
 
 64 66 67 
 
 69 70 70 
 
 70 70 69 
 
 67 65 64 
 
 63 62 61 
 
 26 
 
 64 62 62 
 
 61 61 62 
 
 62 63 64 
 
 65 66 67 
 
 67 67 67 
 
 66 65 64 
 
 63 62 62 
 
 2.8 
 
 66 65 64 
 
 63 62 61 
 
 61 62 62 
 
 63 64 66 
 
 67 68 68 
 
 68 68 67 
 
 66 65 64 
 
 30 
 
 69 68 66 
 
 65 63 62 
 
 61 61 62 
 
 63 65 67 
 
 68 70 71 
 
 71 71 70 
 
 69 68 66 
 
 32 
 
 67 66 64 
 
 63 62 61 
 
 60 61 62 
 
 63 64 66 
 
 67 68 69 
 
 69 69 68 
 
 67 66 64 
 
 3-4 
 
 62 61 60 
 
 60 59 59 
 
 59 60 60 
 
 61 62 63 
 
 63 63 63 
 
 63 63 62 
 
 62 6 i 60 
 
 36 
 
 60 61 61 
 
 61 61 61 
 
 61 61 60 
 
 60 60 59 
 
 59 59 59 
 
 59 60 60 
 
 60 6 i 6 i 
 
 38 
 
 64 65 66 
 
 66 66 66 
 
 65 64 63 
 
 62 61 60 
 
 60 60 60 
 
 61 62 63 
 
 65 65 66 
 
 40 
 
 69 70 71 
 
 71 71 70 
 
 68 67 65 
 
 63 62 62 
 
 61 62 63 
 
 65 66 68 
 
 69 70 71 
 
 Applied Constaut : + 60. The unit in this Table equals o d 'oooooi. 
 124 
 
LV 
 
 SATELLITE II 
 
 Tables of the Phenomena 
 
 Equation of Semiduration 
 
 Sh., Tr. 
 
 \u 
 
 Q\ 
 
 O d. o o ,i. 2 O d. 4 
 
 O d -6 O d -8 1 d 'O 
 
 1 d -2 1 d '4 1 d> 6 
 
 1 d -8 2 d 'O 2 d -2 
 
 2 d. 4 2 d -e 2 d> 8 
 
 3 d. 3 d. 2 3 d. 4 
 
 3 d 6 3 d 8 4 d 
 
 d 
 
 
 
 
 
 
 
 
 00 
 
 I 2 
 
 4 7 10 
 
 12 14 I 5 
 
 16 15 14 
 
 12 9 6 
 
 3 i o 
 
 I 2 
 
 1 
 
 2 
 
 3 
 4 
 
 5 
 
 3 4 6 
 
 II 12 14 
 22 23 25 
 
 34 35 37 
 46 47 48 
 
 8 ii 13 
 16 19 21 
 27 30 31 
 39 41 42 
 49 5' 5 2 
 
 13 I 5 18 
 23 2 4 24 
 
 33 33 33 
 43 43 43 
 52 51 51 
 
 18 17 15 
 24 23 21 
 
 33 3" *9 
 
 41 40 38 
 49 48 46 
 
 12 10 7 
 19 16 13 
 27 25 23 
 36 35 34 
 45 44 43 
 
 5 4 3 
 
 12 IO IO 
 22 21 21 
 
 33 33 33 
 43 44 45 
 
 3 5 6 
 ii 13 15 
 
 22 24 26 
 
 34 36 38 
 46 47 48 
 
 06 
 7 
 8 
 9 
 
 10 
 
 54 55 56 
 61 62 62 
 64 65 65 
 64 65 66 
 63 64 65 
 
 57 58 59 
 63 64 64 
 66 67 67 
 67 67 67 
 66 66 66 
 
 59 58 57 
 64 62 62 
 67 66 64 
 67 66 65 
 65 64 63 
 
 56 55 54 
 61 60 58 
 63 62 62 
 64 63 62 
 62 61 60 
 
 52 51 51 
 
 57 58 58 
 6 i 60 61 
 61 61 61 
 60 60 60 
 
 5* 5* 53 
 58 58 60 
 61 62 63 
 62 62 63 
 60 61 62 
 
 54 55 57 
 61 62 62 
 
 64 65 65 
 64 65 66 
 63 64 65 
 
 1-1 
 2 
 
 3 
 4 
 
 5 
 
 60 61 62 
 54 55 56 
 47 49 5 
 39 40 40 
 30 30 30 
 
 62 62 62 
 
 57 57 56 
 5 5 49 
 4 39 37 
 29 28 26 
 
 62 61 60 
 56 55 53 
 47 46 44 
 36 34 33 
 
 24 22 20 
 
 59 57 57 
 52 50 50 
 
 43 4i 4' 
 31 30 29 
 19 18 19 
 
 56 56 56 
 
 49 50 So 
 41 41 42 
 30 31 32 
 
 19 21 22 
 
 56 57 59 
 5' 5* 53 
 43 45 47 
 34 36 38 
 25 27 29 
 
 60 61 62 
 
 54 S 6 57 
 48 49 50 
 
 39 39 4 
 30 3 3i 
 
 1-6 
 
 7 
 8 
 9 
 
 20 
 
 22 22 22 
 17 17 16 
 
 16 15 14 
 
 20 18 17 
 
 25 24 22 
 
 21 19 16 
 14 12 9 
 1296 
 14 ii 8 
 19 17 15 
 
 14 12 IO 
 642 
 
 4 2 o 
 7 5 4 
 H J3 '3 
 
 999 
 
 I 2 3 
 I 2 
 467 
 14 15 17 
 
 10 12 14 
 
 4 7 10 
 5811 
 10 13 15 
 
 20 22 24 
 
 17 2O 21 
 12 I 5 I 7 
 
 13 15 16 
 
 17 19 19 
 25 20 26 
 
 22 22 22 
 
 18 17 15 
 
 16 15 14 
 
 19 18 15 
 
 25 24 22 
 
 2-1 
 2 
 3 
 
 4 
 
 5 
 
 35 3* 3i 
 43 4 2 4 
 51 50 48 
 
 57 56 54 
 61 60 59 
 
 29 27 25 
 38 37 36 
 47 46 45 
 
 53 53 53 
 
 58 58 58 
 
 24 24 24 
 
 35 36 36 
 46 46 47 
 
 53 54 55 
 58 59 60 
 
 25 27 2 9 
 
 37 39 4 
 48 50 51 
 
 56 57 58 
 61 62 63 
 
 3i 33 35 
 42 44 45 
 
 5z 53 53 
 59 60 60 
 64 64 65 
 
 36 35 35 
 45 45 44 
 54 53 S 2 
 60 59 58 
 
 64 63 62 
 
 34 3 2 3i 
 43 4' 39 
 51 49 48 
 
 57 56 54 
 61 59 59 
 
 2-6 
 7 
 8 
 9 
 3-D 
 
 64 63 62 
 64 63 62 
 61 61 60 
 
 57 56 55 
 50 49 48 
 
 61 61 61 
 62 61 61 
 
 59 59 59 
 55 54 55 
 48 48 48 
 
 6 1 62 63 
 61 62 63 
 59 61 61 
 
 55 56 58 
 49 50 52 
 
 64 65 66 
 64 65 66 
 62 63 65 
 
 59 59 
 
 53 54 55 
 
 66 66 67 
 67 67 67 
 65 66 65 
 62 62 62 
 55 56 55 
 
 66 65 64 
 66 65 64 
 64 64 63 
 61 60 58 
 54 53 5i 
 
 63 62 62 
 63 62 61 
 62 6 i 60 
 
 57 56 55 
 50 49 48 
 
 3-1 
 2 
 3 
 4 
 
 5 
 
 40 39 38 
 28 27 26 
 18 17 17 
 666 
 
 I 2 
 
 38 39 4 
 ^^ 28 30 
 18 19 21 
 8 1013 
 469 
 
 41 43 44 
 
 3' 33 36 
 
 23 25 27 
 15 18 19 
 12 15 16 
 
 46 47 4 8 
 37 37 38 
 28 29 29 
 
 21 21 21 
 
 16 17 15 
 
 48 47 46 
 37 36 35 
 28 27 25 
 19 16 13 
 13 10 8 
 
 45 43 4' 
 33 3i 29 
 23 20 18 
 ii 9 7 
 
 5 3 i 
 
 40 39 38 
 28 27 27 
 17 17 16 
 667 
 o i 3 
 
 36 
 7 
 8 
 9 
 4O 
 
 o 2 3 
 679 
 15 17 19 
 28 29 31 
 40 41 43 
 
 6811 
 ii 14 16 
 
 21 23 26 
 
 33 35 37 
 45 46 47 
 
 14 16 16 
 19 20 21 
 
 27 28 28 
 38 38 37 
 47 48 47 
 
 16 16 13 
 21 19 17 
 28 26 24 
 36 35 33 
 45 44 4* 
 
 ii 8 6 
 15 12 9 
 
 22 19 17 
 
 31 29 28 
 
 40 39 38 
 
 3 * ' 
 8 6 6 
 16 15 15 
 
 27 26 27 
 38 38 39 
 
 2 3 
 
 6 8 10 
 16 17 20 
 28 29 32 
 4 4i 43 
 
 Applied Constant: +60. The unit in this Table equals o d -oooooi. 
 
LVI 
 
 SATELLITE II 
 
 Tables of the Phenomena 
 
 Equation of Semiduration 
 
 EC., Oc., Sh., Tr. 
 
 \Lat. 
 Var. 
 
 OO -O2 O4 
 
 1 40 1 38 1 36 
 
 06 -08 -1O 
 1-34 1-32 1 30 
 
 12 -14 16 
 1-28 1-26 1-24 
 
 18 20 22 
 1-22 1 2O 1-18 
 
 24 -26 -28 
 1-16 1-14 1-12 
 
 30 -32 -34 '36 
 1 10 1 08 1 06 1 04 
 
 -O2O 
 
 618 572 531 
 
 492 456 422 
 
 391 361 334 
 
 308 284 261 
 
 240 22O 201 
 
 184 167 152 138 
 
 19 
 18 
 17 
 16 
 15 
 
 619 575 536 
 619 578 541 
 620 581 546 
 620 584 550 
 621 587 555 
 
 499 465 432 
 506 473 443 
 513 482 453 
 520 491 464 
 
 527 500 474 
 
 43 374 349 
 414 387 363 
 426 401 378 
 
 439 4i5 393 
 
 451 428 408 
 
 324 3I 279 
 340 319 298 
 356 336 316 
 373 353 335 
 389 37 353 
 
 260 240 223 
 279 26l 244 
 299 28l 266 
 3l8 302 287 
 338 322 309 
 
 206 190 176 163 
 228 214 200 187 
 250 237 224 212 
 273 260 248 237 
 295 283 272 262 
 
 -O1 4 
 13 
 12 
 11 
 1O 
 
 622 589 560 
 622 592 565 
 623 595 570 
 624 598 575 
 624 601 580 
 
 533 58 4 8 4 
 540 517 494 
 
 547 5 2 5 55 
 554 534 5'5 
 561 543 526 
 
 462 442 423 
 
 473 455 438 
 486 469 452 
 498 482 467 
 511 496 482 
 
 405 388 372 
 421 405 390 
 437 422 408 
 
 453 439 427 
 469 457 446 
 
 357 343 33 
 377 363 352 
 396 384 373 
 416 404 395 
 435 425 4 l6 
 
 318 306 296 286 
 340 329 320 311 
 
 362 352 343 335 
 
 384 375 367 360 
 407 399 392 384 
 
 - OO9 
 
 8 
 7 
 6 
 5 
 
 625 604 585 
 625 607 590 
 626 610 595 
 626 613 600 
 627 616 605 
 
 568 552 536 
 
 575 5<5 547 
 582 569 558 
 589 578 568 
 596 587 578 
 
 523 509 497 
 
 534 5 2 3 5'2 
 546 536 527 
 
 558 549 54 1 
 570 562 556 
 
 485 474 464 
 501 492 483 
 517 509 501 
 533 526 5'9 
 549 543 537 
 
 455 445 438 
 474 466 459 
 494 486 480 
 513 507 501 
 533 527 5 2 3 
 
 429 422 416 409 
 
 452 445 439 433 
 474 468 463 458 
 496 491 487 482 
 518 514 511 507 
 
 004 
 3 
 2 
 -001 
 
 o 
 
 628 618 610 
 629 621 615 
 629 624 620 
 630 627 625 
 630 630 630 
 
 602 595 588 
 609 604 598 
 616 613 609 
 623 622 619 
 630 630 630 
 
 582 576 571 
 
 594 589 586 
 606 603 601 
 618 616 616 
 630 630 630 
 
 565 561 556 
 581 578 574 
 598 596 593 
 614 613 611 
 630 630 630 
 
 552 548 544 
 572 568 566 
 591 589 587 
 oil 609 609 
 630 630 630 
 
 54 537 534 53' 
 563 560 558 556 
 586 584 582 581 
 608 607 606 606 
 630 630 630 630 
 
 + 001 
 
 2 
 3 
 
 4 
 5 
 
 631 633 635 
 631 636 640 
 632 639 645 
 632 642 650 
 633 645 655 
 
 637 639 640 
 644 647 651 
 651 656 661 
 658 665 672 
 665 674 682 
 
 642 643 645 
 654 657 659 
 666 670 674 
 678 684 689 
 690 697 704 
 
 646 647 648 
 662 664 667 
 678 681 685 
 695 699 704 
 711 716 722 
 
 650 650 652 
 669 671 673 
 689 691 695 
 708 712 716 
 
 728 732 738 
 
 652 653 654 655 
 674 676 678 679 
 697 699 702 704 
 720 723 726 729 
 742 746 750 754 
 
 006 
 
 7 
 8 
 9 
 10 
 
 634 647 660 
 635 650 665 
 635 653 670 
 636 656 675 
 636 659 680 
 
 671 682 692 
 678 691 702 
 685 700 713 
 692 709 723 
 
 699 77 734 
 
 702 711 719 
 714 724 734 
 726 737 748 
 
 73 s 75 7 6 3 
 
 749 764 778 
 
 727 734 741 
 743 75 1 759 
 759 768 777 
 775 785 795 
 791 803 814 
 
 747 753 759 
 766 773 780 
 786 794 801 
 806 814 823 
 825 835 844 
 
 764 769 773 778 
 786 792 797 803 
 808 815 821 827 
 830 838 845 852 
 853 861 868 876 
 
 + Oil 
 12 
 13 
 14 
 15 
 
 637 662 685 
 637 665 690 
 638 668 695 
 638 671 700 
 639 674 705 
 
 706 726 744 
 
 7i3 735 755 
 720 744 765 
 727 752 776 
 733 761 786 
 
 761 777 793 
 774 791 808 
 786 804 823 
 798 818 837 
 810 832 852 
 
 806 820 833 
 823 838 852 
 840 855 870 
 855 872 888 
 871 889 906 
 
 845 855 866 
 864 876 887 
 884 896 909 
 903 917 930 
 923 937 952 
 
 875 884 892 901 
 898 908 917 925 
 920 931 941 950 
 942 954 964 974 
 964 977 988 999 
 
 + -O1 6 
 17 
 18 
 19 
 + O20 
 
 640 676 710 
 641 679 715 
 641 682 719 
 642 685 724 
 642 688 729 
 
 74 7 6 9 79 6 
 
 747 778 806 
 
 754 787 817 
 761 796 827 
 768 804 838 
 
 821 845 867 
 833 859 882 
 846 873 897 
 858 886 912 
 869 899 926 
 
 887 907 925 
 903 924 943 
 920 941 962 
 936 958 980 
 952 976 999 
 
 942 958 973 
 962 978 995 
 981 999 1016 
 1001 1019 1038 
 1020 1040 1059 
 
 987 IOOO IOI2 1023 
 1009 IO23 1036 1048 
 1032 1046 IO6O 1073 
 1054 1069 1084 1098 
 1076 1093 IIO8 I 122 
 
 Applied Constant : +0^-000630. The unit in this Tablets equal to o d 'oooooi. The Arguments of this Table are the Variation, as taken from Tables XXXIII-XXX VI, 
 
 and the Latitude, from Tables XXXVII-XLVI. 
 126 
 
LVI continued 
 
 SATELLITE II 
 
 Tables of the Phenomena 
 
 Equation of Semiduration 
 
 EC., Oc., Sh., Tr. 
 
 \ Lat. 
 
 36 '38 40 
 
 42 -44 -46 
 
 48 'BO '52 
 
 54 -56 -58 
 
 60 62 64 
 
 66 68 
 
 \ 
 
 
 
 
 
 
 70 
 
 Var.X 
 
 1 04 1 02 1 00 
 
 98 96 -94 
 
 92 90 -88 
 
 86 -84 82 
 
 SO -78 -76 
 
 74 '72 
 
 - 020 
 
 138 125 112 
 
 101 90 8 1 
 
 72 64 57 
 
 51 45 40 
 
 36 33 3' 
 
 28 27 27 
 
 19 
 18 
 17 
 16 
 15 
 
 163 150 138 
 
 l8y 175 164 
 212 200 IQO 
 
 237 226 216 
 
 262 251 242 
 
 127 117 108 
 
 '53 H4 '35 
 180 171 163 
 207 199 191 
 233 226 218 
 
 100 92 86 
 128 120 114 
 156 148 143 
 184 177 172 
 
 212 2O5 2OI 
 
 80 74 70 
 108 103 99 
 137 132 129 
 167 i6z 159 
 196 191 188 
 
 66 63 61 
 95 92 90 
 
 125 122 I2O 
 
 '55 '53 '5' 
 
 185 183 181 
 
 58 57 57 
 88 87 87 
 118 117 117 
 149 148 148 
 179 178 178 
 
 - O1 4 
 13 
 12 
 11 
 1O 
 
 286 276 268 
 311 301 294 
 
 335 327 319 
 360 352 345 
 
 384 378 371 
 
 259 252 246 
 285 279 273 
 312 306 300 
 
 338 333 328 
 366 361 356 
 
 240 234 229 
 268 262 258 
 295 290 286 
 
 3*3 3'8 315 
 
 352 347 344 
 
 224 221 217 
 253 250 246 
 282 279 276 
 311 308 306 
 34 1 338 336 
 
 214 212 211 
 244 242 241 
 
 273 272 270 
 303 3O2 3OO 
 
 334 33* 33' 
 
 209 208 208 
 239 238 238 
 269 268 268 
 299 298 298 
 33 3*9 3*9 
 
 -OO9 
 
 8 
 7 
 6 
 5 
 
 409 403 397 
 433 428 423 
 
 45 8 453 459 
 482 478 475 
 507 503 501 
 
 392 388 383 
 418 414 410 
 444 441 437 
 471 468 465 
 497 495 49 2 
 
 38o 375 373 
 407 404 401 
 435 432 430 
 463 460 458 
 491 488 487 
 
 37 367 365 
 398 396 394 
 427 425 423 
 
 45 6 454 453 
 485 483 482 
 
 364 362 361 
 
 393 39 1 39 
 4*3 4*i 4 2 
 45* 45' 45 
 482 481 480 
 
 360 359 359 
 
 389 389 389 
 419 419 419 
 
 449 449 449 
 479 479 479 
 
 -O04 
 3 
 2 
 -O01 
 
 o 
 
 531 529 526 
 
 55 6 554 552 
 581 580 578 
 606 605 604 
 630 630 630 
 
 524 522 520 
 55 549 547 
 577 576 575 
 603 603 602 
 630 630 630 
 
 518 516 515 
 546 545 544 
 574 574 573 
 602 602 602 
 630 630 630 
 
 5'4 5'3 5>* 
 543 54* 541 
 572 572 571 
 601 601 600 
 630 630 630 
 
 511 510 510 
 
 54' 54 54 
 571 571 570 
 60 1 60 1 600 
 630 630 630 
 
 509 509 509 
 
 539 539 539 
 57 57 57 
 600 600 600 
 630 630 630 
 
 + 001 
 
 2 
 3 
 
 4 
 5 
 
 655 655 656 
 679 680 682 
 704 705 708 
 729 731 734 
 754 756 76 
 
 650 657 657 
 683 684 685 
 709 711 712 
 
 736 738 740 
 762 765 767 
 
 658 658 658 
 686 686 687 
 714 715 716 
 
 74 2 744 745 
 77 772 774 
 
 659 659 660 
 688 688 689 
 717 717 718 
 746 747 748 
 
 775 776 777 
 
 660 660 660 
 689 689 690 
 719 719 720 
 
 749 75 75 
 779 780 780 
 
 660 660 660 
 690 690 690 
 720 720 720 
 751 751 751 
 781 781 781 
 
 + O06 
 
 7 
 8 
 9 
 1O 
 
 778 782 785 
 803 807 811 
 827 832 837 
 852 857 863 
 876 882 889 
 
 789 79 2 795 
 815 819 822 
 
 842 846 850 
 868 873 877 
 
 894 8 99 94 
 
 797 800 802 
 825 828 831 
 853 856 859 
 881 884 888 
 908 913 916 
 
 804 806 807 
 833 835 836 
 862 864 866 
 891 893 895 
 919 922 924 
 
 808 809 810 
 838 839 840 
 867 869 870 
 897 899 900 
 926 928 929 
 
 Sn 8n 811 
 841 841 841 
 871 871 871 
 901 901 901 
 
 93 93' 931 
 
 + O11 
 12 
 13 
 14 
 15 
 
 901 907 915 
 925 933 941 
 950 958 967 
 974 984 992 
 999 1009 1018 
 
 921 926 932 
 948 954 960 
 
 974 9 8 ' 987 
 1001 1008 1014 
 1027 1035 1041 
 
 936 941 945 
 
 965 970 974 
 993 998 1003 
 
 1020 IO26 )O3I 
 1048 1054 I06O 
 
 948 951 954 
 978 981 984 
 1007 1010 1013 
 1036 1039 1043 
 1065 1068 1072 
 
 956 958 959 
 987 988 990 
 1017 1018 1020 
 1046 1048 1049 
 1076 1078 1079 
 
 960 961 961 
 991 992 992 
 
 IO2I IO22 IO22 
 IO5I IO52 1O52 
 
 1081 1082 1082 
 
 + -O16 
 17 
 18 
 19 
 + -O2O 
 
 1023 1034 1044 
 1048 1059 1070 
 1073 1085 1096 
 
 1098 IIIO 1122 
 1122 1135 1148 
 
 1053 1 06 1 1069 
 1080 1088 1096 
 1 1 07 1 1 1 6 1125 
 1133 1143 1152 
 1159 I! 7 M 79 
 
 1076 IO83 1088 
 1104 II II 1117 
 1132 1140 1146 
 
 1160 1168 1175 
 1188 1196 1203 
 
 1093 1098 noi 
 
 1122 1127 II3I 
 
 1152 1157 1161 
 1181 1186 1190 
 
 I2O9 1215 I22O 
 
 1105 1107 1109 
 1135 u 3 7 1139 
 1165 1168 1170 
 
 1195 1198 I2OO 
 
 1224 1227 1229 
 
 I II I 1112 1 I 12 
 II4I 1142 1142 
 1172 1173 1173 
 I2O2 I2O3 1203 
 1232 1233 1233 
 
 Applied Constant : +o'"-ooo63o. The unit in this Table is equal to o d 'oooooi. The Arguments of this Table are the Variation, an taken from Tables XXXJI1-XXXVI, 
 
 and the Latitude, from Tables XXXVII-XLVI. 
 
LVII 
 
 SATELLITE II 
 
 Tables of the Phenomena 
 
 Reductions to Middle 
 
 Argument Q 
 
 I 
 
 z 
 
 3 
 
 4 
 
 5 
 
 Eel, Oc. 
 
 A 
 
 o d -oi 
 
 Q 
 
 Sh., Tr. 
 
 A 
 O d 'OI 
 
 d 
 
 
 d 
 
 d 
 
 
 -O'OO0435 
 
 - 2 9 
 
 000 
 
 -0-000487 
 
 - 37 
 
 49* 
 
 28 
 
 02 
 
 S 6l 
 
 37 
 
 549 
 
 2 9 
 
 04 
 
 636 37 
 
 606 
 
 28 
 
 OS 
 
 710 37 
 
 66 1 
 
 27 
 
 O8 
 
 782 36 
 
 7i5 
 
 27 
 
 10 
 
 853 35 
 
 
 
 
 1 
 
 - 0-000769 
 
 - 26 
 
 012 
 
 -0*000922 - 34 
 
 820 
 
 *5 
 
 14 
 
 989 33 
 
 869 
 
 *4 
 
 16 
 
 1054 32 
 
 916 
 
 *3 
 
 18 
 
 II lo 30 
 
 961 
 
 22 
 
 2O 
 
 1174 ; 28 
 
 -0-001004 
 
 - 21 
 
 022 
 
 -0-001229 ~ 2 7 
 
 1044 
 
 '9 
 
 24 
 
 1281 25 
 
 1080 
 
 '7 
 
 26 
 
 1328 23 
 
 II 12 
 
 16 
 
 28 
 
 1371 21 
 
 1142 
 
 4 
 
 30 
 
 1410 18 
 
 -0-001168 
 
 - 12 
 
 032 
 
 0-001444 ~ J ^ 
 
 II9I 
 
 II 
 
 34 
 
 '473 H 
 
 1210 
 
 9 
 
 36 
 
 1498 ii 
 
 1225 
 
 6 
 
 38 
 
 1517 
 
 8 
 
 1235 
 
 4 
 
 40 
 
 iS3i 
 
 6 
 
 -O-OOI242 
 
 - 2 
 
 042 
 
 -0-001540 
 
 - 3 
 
 1245 
 
 - I 
 
 44 
 
 1544 
 
 - i 
 
 1244 
 
 + 2 
 
 46 
 
 1542 
 
 + 2 
 
 1238 
 
 4 
 
 48 
 
 '535 
 
 5 
 
 1229 
 
 6 
 
 50 
 
 I5 2 3 
 
 7 
 
 -O'OOI2l6 
 
 + 8 
 
 052 
 
 -0-001506 
 
 + 10 
 
 1199 
 
 10 
 
 54 
 
 1483 
 
 13 
 
 1177 
 
 12 
 
 56 
 
 '455 
 
 15 
 
 1152 
 
 '3 
 
 58 
 
 1423 
 
 17 
 
 1124 
 
 '5 
 
 60 
 
 1386 
 
 20 
 
 -0-001092 
 
 + 16 
 
 062 
 
 -0-001345 
 
 + 22 
 
 1057 
 
 18 
 
 64 
 
 1299 
 
 24 
 
 1019 
 
 20 
 
 66 
 
 1250 
 
 26 
 
 978 
 
 21 
 
 68 
 
 1196 
 
 28 
 
 934 
 
 23 
 
 7O 
 
 1138 
 
 3 
 
 - 0-000888 
 
 + 24 
 
 O-72 
 
 -0-001078 
 
 + 3i 
 
 840 
 
 25 
 
 74 
 
 1015 
 
 32 
 
 789 
 
 26 
 
 76 
 
 949 
 
 34 
 
 736 
 
 *7 
 
 78 
 
 881 
 
 35 
 
 682 
 
 27 
 
 SO 
 
 8 to 
 
 36 
 
 -0-000627 
 
 + 28 
 
 082 
 
 -0-000738 
 
 + 36 
 
 571 
 
 28 
 
 84 
 
 665 
 
 37 
 
 Si? 
 
 28 
 
 86 
 
 59' 
 
 37 
 
 458 
 
 29 
 
 88 
 
 5i7 
 
 37 
 
 400 
 
 29 
 
 90 
 
 442 
 
 38 
 
 -0-000343 
 
 + 28 
 
 092 
 
 -0-000367 
 
 + 37 
 
 286 
 
 28 
 
 94 
 
 293 
 
 37 
 
 231 
 
 28 
 
 96 
 
 220 
 
 36 
 
 175 
 
 *7 
 
 98 
 
 148 
 
 35 
 
 -O-OOO122 
 
 + 26 
 
 1 00 
 
 -0-000078 
 
 + 35 
 
 i 
 
 2 
 
 3 
 
 4 
 
 5 
 
 Eel., Oc. 
 
 A 
 Qd'OI 
 
 Q 
 
 Sh., Tr. 
 
 A 
 Qd-OI 
 
 d 
 
 
 d 
 
 d 
 
 
 -O-OOOI22 
 
 + 26 
 
 1 00 
 
 -O'OOOO78 
 
 + 35 
 
 70 
 
 26 
 
 02 
 
 10 
 
 33 
 
 '9 
 
 25 
 
 04 
 
 + 55 
 
 32 
 
 + 29 
 
 24 
 
 O6 
 
 118 
 
 3i 
 
 74 
 
 22 
 
 OS 
 
 177 
 
 29 
 
 117 
 
 21 
 
 1O 
 
 234 
 
 28 
 
 + 0-000158 
 
 + 20 
 
 112 
 
 + 0-000287 
 
 + 26 
 
 196 
 
 18 
 
 14 
 
 336 
 
 24 
 
 230 
 
 16 
 
 16 
 
 38i 
 
 21 
 
 261 
 
 15 
 
 18 
 
 421 
 
 1 9 
 
 288 
 
 '3 
 
 20 
 
 457 
 
 17 
 
 + 0-000312 
 
 + ii 
 
 1 22 
 
 + 0-000488 
 
 + 14 
 
 333 
 
 9 
 
 24 
 
 5H 
 
 12 
 
 349 
 
 7 
 
 26 
 
 535 
 
 10 
 
 362 
 
 5 
 
 28 
 
 552 
 
 7 
 
 369 
 
 3 
 
 3O 
 
 563 
 
 4 
 
 + 0-000373 
 
 + i 
 
 1 32 
 
 + 0-000569 
 
 + 2 
 
 374 
 
 - i 
 
 34 
 
 569 
 
 - I 
 
 37 
 
 3 
 
 36 
 
 564 
 
 4 
 
 363 
 
 5 
 
 38 
 
 554 
 
 6 
 
 352 
 
 7 
 
 4O 
 
 539 
 
 9 
 
 + 0^000336 
 
 - 9 
 
 1 42 
 
 + 0*000519 
 
 - 12 
 
 316 
 
 1 1 
 
 44 
 
 493 
 
 4 
 
 292 
 
 '3 
 
 46 
 
 462 
 
 17 
 
 265 
 
 4 
 
 48 
 
 427 
 
 '9 
 
 235 
 
 16 
 
 50 
 
 387 
 
 21 
 
 + O-0002O2 
 
 - 18 
 
 1 52 
 
 + 0-000343 
 
 ~ 23 
 
 I6 5 
 
 19 
 
 54 
 
 296 
 
 25 
 
 125 
 
 21 
 
 56 
 
 243 
 
 27 
 
 82 
 
 22 
 
 58 
 
 187 
 
 29 
 
 + 36 
 
 24 
 
 60 
 
 128 
 
 30 
 
 -O-OOOOI2 
 
 - 25 
 
 1-62 
 
 + o'oooo66 
 
 - J2 
 
 62 
 
 25 
 
 64 
 
 + i 
 
 33 
 
 "3 
 
 26 
 
 66 
 
 67 
 
 35 
 
 1 66 
 
 27 
 
 68 
 
 137 
 
 35 
 
 220 
 
 28 
 
 7O 
 
 208 
 
 36 
 
 - 0-000277 
 
 - 28 
 
 1-72 
 
 -0-000281 
 
 - 37 
 
 334 
 
 29 
 
 74 
 
 355 
 
 37 
 
 39' 
 
 28 
 
 76 
 
 429 
 
 37 
 
 448 
 
 28 
 
 78 
 
 504 
 
 37 
 
 504 
 
 28 
 
 80 
 
 578 
 
 37 
 
 -0-000561 
 
 - 29 
 
 1 82 
 
 -0-000653 
 
 - 37 
 
 618 
 
 28 
 
 84 
 
 726 
 
 36 
 
 674 
 
 27 
 
 86 
 
 798 
 
 35 
 
 727 
 
 27 
 
 88 
 
 869 
 
 35 
 
 780 
 
 26 
 
 90 
 
 937 
 
 34 
 
 -0*000831 
 
 - 25 
 
 1 92 
 
 -0-001004 
 
 - 33 
 
 880 
 
 24 
 
 94 
 
 1067 
 
 3i 
 
 927 
 
 23 
 
 96 
 
 1129 
 
 3 
 
 971 
 
 21 
 
 98 
 
 1187 
 
 28 
 
 -O-OOIOI2 
 
 - 2O 
 
 200 
 
 -0-001241 
 
 - 26 
 
 Applied Constant : -o"-ooo46i. This Table includes a constant portion of the Equation of Light. The Entry must be 
 
 supplemented by Equations from Tables LVHI-LXV. The whole must be corrected by adding to it its product by the Variation, as drawn from 
 
 Tables XXXIII-XXXVI. For Shadows and Transits it must also be corrected for Jupiter's Phase by Table LXVI. 
 
 iz8 
 
LVII continued 
 
 SATELLITE II 
 
 Tables of the Phenomena 
 
 Reductions to Middle 
 
 Argument Q 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 Eel., Oc. 
 
 A 
 O d 'OI 
 
 Q 
 
 Sh., Tr. 
 
 A 
 Od'OI 
 
 d 
 
 
 d 
 
 d 
 
 
 - 0-OOIOI2 
 
 - 20 
 
 200 
 
 o'ooi 241 
 
 - 26 
 
 1052 
 
 18 
 
 02 
 
 1292 
 
 *4 
 
 1087 
 
 7 
 
 04 
 
 338 
 
 22 
 
 III 9 
 
 15 
 
 06 
 
 1380 
 
 20 
 
 1148 
 
 3 
 
 08 
 
 1418 
 
 18 
 
 "73 
 
 12 
 
 10 
 
 1451 
 
 '5 
 
 -o'ooi 196 
 
 - 10 
 
 2 12 
 
 -0-001479 
 
 - 13 
 
 1214 
 
 8 
 
 14 
 
 1503 
 
 II 
 
 1228 
 
 6 
 
 16 
 
 1521 
 
 8 
 
 1237 
 
 4 
 
 18 
 
 1534 
 
 5 
 
 1243 
 
 - 2 
 
 20 
 
 1541 
 
 - 3 
 
 -0-001245 
 
 O 
 
 222 
 
 -0-001544 
 
 
 
 1243 
 
 + 2 
 
 24 
 
 1541 
 
 + 3 
 
 1236 
 
 4 
 
 26 
 
 1533 
 
 5 
 
 1226 
 
 6 
 
 28 
 
 1520 
 
 8 
 
 121* 
 
 8 
 
 30 
 
 1502 
 
 ii 
 
 - o'ooi 195 
 
 + 10 
 
 2-32 
 
 -0-001477 
 
 + 13 
 
 1 172 
 
 12 
 
 34 
 
 1448 
 
 15 
 
 1146 
 
 '4 
 
 36 
 
 1416 
 
 18 
 
 1117 
 
 15 
 
 38 
 
 1377 
 
 20 
 
 1085 
 
 17 
 
 40 
 
 1335 
 
 22 
 
 -0-001049 
 
 + 19 
 
 242 
 
 -0-001288 
 
 + 24 
 
 IOIO 
 
 20 
 
 44 
 
 1239 
 
 26 
 
 969 
 
 21 
 
 46 
 
 1184 
 
 28 
 
 924 
 
 23 
 
 48 
 
 1126 
 
 3 
 
 877 
 
 4 
 
 50 
 
 1064 
 
 3* 
 
 -0-000829 
 
 + 25 
 
 252 
 
 -O'OOIOOI 
 
 + 33 
 
 778 
 
 26 
 
 54 
 
 934 
 
 34 
 
 724 
 
 27 
 
 56 
 
 866 
 
 35 
 
 670 
 
 27 
 
 58 
 
 794 
 
 36 
 
 615 
 
 28 
 
 60 
 
 722 
 
 36 
 
 -0-000559 
 
 + 28 
 
 262 
 
 - 0-000649 
 
 + 37 
 
 503 
 
 28 
 
 64 
 
 575 
 
 37 
 
 445 
 
 29 
 
 66 
 
 501 
 
 38 
 
 387 
 
 29 
 
 68 
 
 425 
 
 38 
 
 33' 
 
 28 
 
 7O 
 
 35' 
 
 37 
 
 - 0*000274 
 
 + 28 
 
 272 
 
 - 0-000277 
 
 + 37 
 
 219 
 
 28 
 
 74 
 
 204 
 
 36 
 
 163 
 
 27 
 
 76 
 
 133 
 
 35 
 
 in 
 
 26 
 
 78 
 
 63 
 
 34 
 
 59 
 
 26 
 
 80 
 
 + 5 
 
 33 
 
 - 0-000008 
 
 + 25 
 
 282 
 
 + 0-000069 
 
 + 32 
 
 + 40 
 
 23 
 
 84 
 
 132 
 
 30 
 
 84 
 
 22 
 
 86 
 
 190 
 
 29 
 
 126 
 
 21 
 
 88 
 
 246 
 
 7 
 
 167 
 
 '9 
 
 90 
 
 298 
 
 5 
 
 + 0-000204 
 
 + 17 
 
 292 
 
 + 0-000347 
 
 + 23 
 
 237 
 
 16 
 
 94 
 
 39 
 
 21 
 
 268 
 
 >4 
 
 96 
 
 429 
 
 '9 
 
 294 
 
 12 
 
 98 
 
 464 
 
 16 
 
 + 0-000317 
 
 + II 
 
 3 00 
 
 + 0-000494 
 
 + 14 
 
 i 
 
 1 
 
 3 
 
 4 
 
 5 
 
 Eel., Oc. 
 
 A 
 Od'OI 
 
 Q 
 
 Sh., Tr. 
 
 A 
 Qd-OI 
 
 d 
 
 
 d 
 
 d 
 
 
 + O-OOO3I7 
 
 + II 
 
 3-OO 
 
 + 0^000494 
 
 + H 
 
 337 
 
 9 
 
 02 
 
 S'9 
 
 II 
 
 35* 
 
 7 
 
 04 
 
 539 
 
 9 
 
 364 
 
 5 
 
 06 
 
 555 
 
 7 
 
 370 
 
 2 
 
 08 
 
 565 
 
 4 
 
 373 
 
 + I 
 
 IO 
 
 570 
 
 + i 
 
 + 0-000374 
 
 I 
 
 3-12 
 
 + 0-000569 
 
 - 2 
 
 369 
 
 3 
 
 14 
 
 562 
 
 5 
 
 361 
 
 5 
 
 16 
 
 55i 
 
 7 
 
 349 
 
 7 
 
 18 
 
 535 
 
 9 
 
 332 
 
 10 
 
 20 
 
 5'4 
 
 12 
 
 + 0-00031 1 
 
 - 12 
 
 322 
 
 + 0*000487 
 
 '4 
 
 286 
 
 '3 
 
 24 
 
 455 
 
 17 
 
 259 
 
 '5 
 
 26 
 
 419 
 
 '9 
 
 228 
 
 16 
 
 28 
 
 378 
 
 21 
 
 194 
 
 18 
 
 30 
 
 333 
 
 23 
 
 + 0-000157 
 
 - 20 
 
 3-32 
 
 + 0-000285 
 
 - 2J 
 
 116 
 
 21 
 
 34 
 
 231 
 
 28 
 
 72 
 
 23 
 
 36 
 
 >74 
 
 2 9 
 
 + 25 
 
 2 4 
 
 38 
 
 "5 
 
 3 
 
 23 
 
 2 5 
 
 40 
 
 + 52 
 
 32 
 
 -0^000073 
 
 - 25 
 
 342 
 
 -0-000014 
 
 - 34 
 
 124 
 
 26 
 
 44 
 
 82 
 
 35 
 
 178 
 
 27 
 
 46 
 
 152 
 
 36 
 
 *32 
 
 28 
 
 48 
 
 224 
 
 36 
 
 289 
 
 28 
 
 50 
 
 297 
 
 37 
 
 - 0-000347 
 
 - 29 
 
 352 
 
 -0-000371 
 
 - 37 
 
 403 
 
 28 
 
 54 
 
 445 
 
 37 
 
 460 
 
 28 
 
 56 
 
 520 
 
 37 
 
 516 
 
 28 
 
 58 
 
 594 
 
 37 
 
 574 
 
 2 9 
 
 60 
 
 669 
 
 37 
 
 0-000630 
 
 - 28 
 
 3-62 
 
 -0-000742 
 
 - ^ 
 
 686 
 
 27 
 
 64 
 
 813 
 
 36 
 
 739 
 
 26 
 
 66 
 
 884 
 
 35 
 
 79' 
 
 26 
 
 68 
 
 952 
 
 34 
 
 842 
 
 25 
 
 70 
 
 1019 
 
 32 
 
 -0-000891 
 
 - 24 
 
 3-72 
 
 -o'ooioSi 
 
 3i 
 
 937 
 
 22 
 
 74 
 
 1142 
 
 30 
 
 980 
 
 21 
 
 76 
 
 "99 
 
 28 
 
 1022 
 
 20 
 
 78 
 
 1252 
 
 26 
 
 1061 
 
 18 
 
 80 
 
 1303 
 
 24 
 
 -O-OOIO95 
 
 - 16 
 
 3-82 
 
 -0-001348 
 
 - 22 
 
 1126 
 
 15 
 
 84 
 
 1390 
 
 20 
 
 "54 
 
 13 
 
 86 
 
 1426 
 
 '7 
 
 "79 
 
 12 
 
 88 
 
 1458 
 
 15 
 
 1201 
 
 IO 
 
 90 
 
 1485 
 
 13 
 
 -O-OOI2I8 
 
 - 7 
 
 3'92 
 
 -0-001508 
 
 - to 
 
 123O 
 
 5 
 
 94 
 
 1524 
 
 7 
 
 1239 
 
 3 
 
 96 
 
 1536 
 
 5 
 
 1244 
 
 - 2 
 
 98 
 
 1543 
 
 - 2 
 
 -O-OOI246 
 
 
 
 400 
 
 -0-001545 
 
 O 
 
 Applied Constant: -0-000461 This Table includes a constant portion of the Equation of Light. The Entry must be 
 
 supplemented by Equations from Tables LVIII-LXV. The whole must be corrected by adding to it its product by the Variation as drawn from 
 
 Tables XXIII-XXXVI. For Shadows and Transits it must also be corrected for Jupiter's Phase by Table LXVI. 
 
 129 '7 
 
LVIII 
 
 SATELLITE II 
 
 Tables of the Phenomena 
 
 Reductions to Middle 
 
 Argument R 
 
 I 
 
 2 
 
 3 
 
 4 
 
 5 
 
 Eel., Oc. 
 
 A 
 O d- OI 
 
 R 
 
 Sh., Tr. 
 
 A 
 O d 'OI 
 
 d 
 
 
 d 
 
 d 
 
 
 O-OOO320 
 
 - IO 
 
 000 
 
 O-OOO32O 
 
 - II 
 
 301 
 
 9 
 
 02 
 
 298 
 
 I I 
 
 282 
 
 9 
 
 04 
 
 277 
 
 10 
 
 264 
 
 9 
 
 O6 
 
 2 5 6 
 
 IO 
 
 2 4 6 
 
 9 
 
 OS 
 
 2 3 6 
 
 IO 
 
 22 9 
 
 9 
 
 10 
 
 216 
 
 10 
 
 O-OOO2I2 
 
 - 8 
 
 012 
 
 0-000197 
 
 - IO 
 
 '95 
 
 8 
 
 14 
 
 177 
 
 9 
 
 179 
 
 8 
 
 16 
 
 159 
 
 9 
 
 163 
 
 8 
 
 18 
 
 141 
 
 9 
 
 148 
 
 7 
 
 20 
 
 124 
 
 8 
 
 0-000134 
 
 - 7 
 
 22 
 
 0-000108 
 
 - 8 
 
 122 
 
 6 
 
 24 
 
 94 
 
 7 
 
 110 
 
 6 
 
 26 
 
 81 
 
 6 
 
 IOO 
 
 5 
 
 28 
 
 69 
 
 6 
 
 9 
 
 5 
 
 SO 
 
 57 
 
 6 
 
 o'ooooSi 
 
 - 4 
 
 032 
 
 0-000047 
 
 - 5 
 
 74 
 
 3 
 
 34 
 
 39 
 
 4 
 
 68 
 
 3 
 
 36 
 
 32 
 
 3 
 
 63 
 
 2 
 
 38 
 
 27 
 
 3 
 
 59 
 
 2 
 
 40 
 
 22 
 
 2 
 
 0-000057 
 
 - I 
 
 042 
 
 O'OOOOZO 
 
 - I 
 
 56 
 
 
 
 44 
 
 '9 
 
 O 
 
 57 
 
 + I 
 
 46 
 
 >9 
 
 + I 
 
 58 
 
 I 
 
 48 
 
 21 
 
 I 
 
 61 
 
 2 
 
 so 
 
 24 
 
 2 
 
 0-000065 
 
 + 3 
 
 052 
 
 0-000029 
 
 + 3 
 
 7i 
 
 3 
 
 54 
 
 36 
 
 4 
 
 78 
 
 4 
 
 56 
 
 44 
 
 4 
 
 86 
 
 5 
 
 58 
 
 53 
 
 5 
 
 96 
 
 5 
 
 60 
 
 64 
 
 6 
 
 0-000106 
 
 + 6 
 
 062 
 
 0-000076 
 
 + 6 
 
 118 
 
 6 
 
 64 
 
 89 
 
 7 
 
 13 
 
 6 
 
 66 
 
 103 
 
 7 
 
 H3 
 
 7 
 
 68 
 
 118 
 
 8 
 
 '57 
 
 7 
 
 7O 
 
 "34 
 
 9 
 
 0-000173 
 
 + 8 
 
 O72 
 
 0*000152 
 
 + 9 
 
 189 
 
 8 
 
 74 
 
 170 
 
 9 
 
 205 
 
 8 
 
 76 
 
 189 
 
 10 
 
 222 
 
 9 
 
 78 
 
 209 
 
 IO 
 
 240 
 
 9 
 
 80 
 
 229 
 
 IO 
 
 0*000258 
 
 + 9 
 
 082 
 
 0^000249 
 
 + 10 
 
 2 7 6 
 
 9 
 
 84 
 
 270 
 
 IO 
 
 294 
 
 9 
 
 86 
 
 290 
 
 II 
 
 313 
 
 IO 
 
 88 
 
 312 
 
 II 
 
 33* 
 
 9 
 
 90 
 
 333 
 
 IO 
 
 0-000350 
 
 + 9 
 
 92 
 
 0^000354 
 
 + II 
 
 368 
 
 9 
 
 94 
 
 375 
 
 IO 
 
 387 
 
 9 
 
 96 
 
 39 6 
 
 10 
 
 405 
 
 9 
 
 98 
 
 417 
 
 10 
 
 0-000422 
 
 + 8 
 
 1-00 
 
 0-000437 
 
 + 9 
 
 i 
 
 2 
 
 3 
 
 4 
 
 5 
 
 Eel., Oc. 
 
 A 
 O d 'OI 
 
 R 
 
 Sh., Tr. 
 
 A 
 O d '0l 
 
 d 
 
 
 a 
 
 d 
 
 
 0-000422 
 
 + 8 
 
 1 OO 
 
 0-000437 
 
 + 9 
 
 43 8 
 
 8 
 
 02 
 
 455 
 
 9 
 
 455 
 
 8 
 
 O4 
 
 474 
 
 9 
 
 47i 
 
 8 
 
 06 
 
 492 
 
 9 
 
 486 
 
 7 
 
 OS 
 
 510 
 
 9 
 
 500 
 
 7 
 
 10 
 
 526 
 
 8 
 
 0-000513 
 
 + 6 
 
 1-12 
 
 0-000540 
 
 + 7 
 
 5*5 
 
 6 
 
 14 
 
 554 
 
 7 
 
 536 
 
 6 
 
 16 
 
 567 
 
 6 
 
 547 
 
 5 
 
 18 
 
 579 
 
 6 
 
 556 
 
 4 
 
 20 
 
 590 
 
 5 
 
 0-000563 
 
 + 4 
 
 1-22 
 
 0-000598 
 
 + 4 
 
 570 
 
 3 
 
 24 
 
 606 
 
 3 
 
 575 
 
 2 
 
 26 
 
 611 
 
 3 
 
 579 
 
 2 
 
 28 
 
 616 
 
 2 
 
 582 
 
 I 
 
 30 
 
 619 
 
 I 
 
 0-000584 
 
 + I 
 
 1 32 
 
 0-000621 
 
 + I 
 
 584 
 
 O 
 
 34 
 
 621 
 
 O 
 
 583 
 
 - I 
 
 36 
 
 620 
 
 I 
 
 580 
 
 2 
 
 38 
 
 617 
 
 2 
 
 576 
 
 2 
 
 4O 
 
 612 
 
 3 
 
 0-000571 
 
 3 
 
 1 42 
 
 0-000607 
 
 - 3 
 
 565 
 
 4 
 
 44 
 
 600 
 
 4 
 
 557 
 
 4 
 
 46 
 
 59' 
 
 5 
 
 548 
 
 5 
 
 48 
 
 580 
 
 6 
 
 538 
 
 5 
 
 50 
 
 569 
 
 6 
 
 0-000527 
 
 - 6 
 
 1 52 
 
 0-000556 
 
 - 7 
 
 5i5 
 
 6 
 
 54 
 
 542 
 
 7 
 
 502 
 
 7 
 
 56 
 
 528 
 
 7 
 
 488 
 
 7 
 
 58 
 
 512 
 
 8 
 
 473 
 
 8 
 
 60 
 
 495 
 
 9 
 
 0-000457 
 
 - 8 
 
 1 62 
 
 0-000477 
 
 - 9 
 
 441 
 
 8 
 
 64 
 
 458 
 
 10 
 
 4*5 
 
 9 
 
 66 
 
 439 
 
 10 
 
 407 
 
 9 
 
 68 
 
 419 
 
 IO 
 
 389 
 
 9 
 
 7O 
 
 399 
 
 10 
 
 0-000371 
 
 - 9 
 
 1-72 
 
 0-000378 
 
 - IO 
 
 353 
 
 9 
 
 74 
 
 358 
 
 ii 
 
 334 
 
 9 
 
 76 
 
 336 
 
 ii 
 
 316 
 
 9 
 
 78 
 
 315 
 
 IO 
 
 297 
 
 9 
 
 80 
 
 2 94 
 
 II 
 
 0-000279 
 
 - 9 
 
 1-82 
 
 0-000273 
 
 - II 
 
 260 
 
 9 
 
 84 
 
 251 
 
 IO 
 
 242 
 
 9 
 
 86 
 
 231 
 
 10 
 
 224 
 
 9 
 
 88 
 
 210 
 
 IO 
 
 207 
 
 8 
 
 90 
 
 I 9 I 
 
 9 
 
 0-000191 
 
 - 8 
 
 1 92 
 
 O-OOOI73 
 
 - 9 
 
 '75 
 
 8 
 
 94 
 
 154 
 
 9 
 
 1 60 
 
 7 
 
 96 
 
 '37 
 
 8 
 
 '45 
 
 7 
 
 98 
 
 I 2O 
 
 8 
 
 0-000131 
 
 - 7 
 
 2-00 
 
 O'OOOIO4 
 
 - 8 
 
 Applied Constant : +o d 'cx32o. 
 130 
 
LIX 
 
 I 
 
 1 
 
 3 
 
 A 
 
 EC., Oc., 
 Sh., Tr. 
 
 A 
 Od'I 
 
 d 
 
 d 
 
 
 00 
 
 0-000061 
 
 + 10 
 
 2 
 
 82 
 
 IO 
 
 4 
 
 101 
 
 9 
 
 6 
 
 114 
 
 5 
 
 8 
 
 121 
 
 + 2 
 
 1O 
 
 120 
 
 - 2 
 
 1-2 
 
 O-OOOII3 
 
 - 6 
 
 4 
 
 97 
 
 9 
 
 6 
 
 78 
 
 10 
 
 8 
 
 57 
 
 ii 
 
 20 
 
 36 
 
 10 
 
 22 
 
 O'OOOOlS 
 
 - 8 
 
 4 
 
 6 
 
 5 
 
 6 
 
 o 
 
 - i 
 
 8 
 
 2 
 
 + 3 
 
 30 
 
 12 
 
 7 
 
 32 
 
 O'OOOOZy 
 
 + 9 
 
 4 
 
 47 
 
 10 
 
 6 
 
 69 
 
 ii 
 
 8 
 
 89 
 
 10 
 
 40 
 
 106 
 
 8 
 
 4-2 
 
 0-000117 
 
 + 4 
 
 4 
 
 121 
 
 + i 
 
 6 
 
 118 
 
 - 4 
 
 8 
 
 1 08 
 
 7 
 
 50 
 
 9 1 
 
 10 
 
 5-2 
 
 0-000071 
 
 - II 
 
 4 
 
 49 
 
 II 
 
 6 
 
 29 
 
 9 
 
 8 
 
 12 
 
 7 
 
 60 
 
 3 
 
 - 3 
 
 6-2 
 
 o-oooooo 
 
 o 
 
 4 
 
 4 
 
 + 4 
 
 6 
 
 '7 
 
 8 
 
 8 
 
 34 
 
 10 
 
 7-O 
 
 54 
 
 ii 
 
 7-2 
 
 0-000076 
 
 + 10 
 
 4 
 
 96 
 
 9 
 
 6 
 
 112 
 
 7 
 
 8 
 
 120 
 
 + 3 
 
 80 
 
 O-OOOI22 
 
 - i 
 
 Constant : +o d 'oooo6i. 
 
 SATELLITE II 
 
 Tables of the Phenomena 
 
 Reductions to Middle 
 
 LX 
 
 i 
 
 2 
 
 3 
 
 EC., Oc. 
 
 P 
 
 Sh., Tr. 
 
 d 
 0-OOOO29 
 
 1850 
 
 d 
 O'OOOOI I 
 
 22 
 
 52 
 
 18 
 
 *4 
 
 54 
 
 26 
 
 7 
 
 56 
 
 33 
 
 2 
 
 58 
 
 38 
 
 
 
 6O 
 
 4 
 
 0-000002 
 
 1862 
 
 0-000040 
 
 5 
 
 64 
 
 35 
 
 12 
 
 66 
 
 28 
 
 20 
 
 68 
 
 20 
 
 27 
 
 7O 
 
 '3 
 
 0-OOOO33 
 
 1872 
 
 0-000007 
 
 37 
 
 74 
 
 3 
 
 38 
 
 76 
 
 2 
 
 35 
 
 78 
 
 5 
 
 3 
 
 8O 
 
 IO 
 
 0-OOOO22 
 
 1882 
 
 0-000018 
 
 15 
 
 84 
 
 25 
 
 8 
 
 86 
 
 3* 
 
 3 
 
 88 
 
 37 
 
 i 
 
 90 
 
 39 
 
 0-OOOO02 
 
 1892 
 
 0-000038 
 
 6 
 
 94 
 
 34 
 
 13 
 
 96 
 
 *7 
 
 20 
 
 98 
 
 20 
 
 0-000028 
 
 1900 
 
 0-OOOOI2 
 
 LXI 
 
 i 
 
 2 
 
 3 
 
 EC., Oc. 
 
 s 
 
 Sh., Tr. 
 
 d 
 O-OOOO2O 
 
 d 
 00 
 
 d 
 O-OOOO2O 
 
 15 
 
 1 
 
 H 
 
 II 
 
 2 
 
 IO 
 
 8 
 
 3 
 
 6 
 
 6 
 
 4 
 
 4 
 
 6 
 
 5 
 
 4 
 
 0-000008 
 
 06 
 
 0-000006 
 
 ii 
 
 7 
 
 IO 
 
 16 
 
 8 
 
 '5 
 
 21 
 
 9 
 
 20 
 
 25 
 
 i-o 
 
 26 
 
 O-OOOO29 
 
 1-1 
 
 O-OOO03I 
 
 32 
 
 2 
 
 35 
 
 34 
 
 3 
 
 36 
 
 34 
 
 4 
 
 36 
 
 3* 
 
 5 
 
 34 
 
 0-000028 
 
 16 
 
 0-000030 
 
 24 
 
 7 
 
 24 
 
 '9 
 
 8 
 
 '9 
 
 H 
 
 9 
 
 13 
 
 O'OOOOIO 
 
 20 
 
 0-000009 
 
 I 
 
 2 
 
 i 
 
 EC., Oc. 
 
 P 
 
 Sh., Tr. 
 
 d 
 0-OOO028 
 
 19OO 
 
 d 
 O'OOOOI 2 
 
 34 
 
 02 
 
 6 
 
 38 
 
 04 
 
 2 
 
 39 
 
 06 
 
 I 
 
 37 
 
 08 
 
 3 
 
 3' 
 
 IO 
 
 9 
 
 0-000024 
 
 1912 
 
 0-000016 
 
 16 
 
 14 
 
 *4 
 
 10 
 
 16 
 
 3 
 
 4 
 
 18 
 
 36 
 
 2 
 
 2O 
 
 38 
 
 0-OOOOO3 
 
 1922 
 
 0-000037 
 
 7 
 
 24 
 
 33 
 
 13 
 
 26 
 
 *7 
 
 21 
 
 28 
 
 >9 
 
 2 9 
 
 3O 
 
 ii 
 
 0-OOOO35 
 
 1932 
 
 0-000005 
 
 39 
 
 34 
 
 i 
 
 40 
 
 36 
 
 o 
 
 37 
 
 38 
 
 3 
 
 3z 
 
 4O 
 
 8 
 
 0-000025 
 
 1942 
 
 0-000015 
 
 17 
 
 44 
 
 23 
 
 IO 
 
 46 
 
 3 
 
 5 
 
 48 
 
 35 
 
 O-OOOOO2 
 
 1950 
 
 0-000038 
 
 Applied Constant : -t-o'-ooooao. 
 
 LXI I 
 
 i 
 
 2 
 
 T 
 
 EC., Oc., 
 Sh., Tr. 
 
 d 
 
 d 
 
 00 
 
 o-ooooio 
 
 2 
 
 8 
 
 4 
 
 6 
 
 6 
 
 7 
 
 8 
 
 9 
 
 i-o 
 
 u 
 
 1-2 
 
 0-000013 
 
 4 
 
 H 
 
 6 
 
 12 
 
 8 
 
 IO 
 
 20 
 
 O-OOOOO7 
 
 Constant: +o d 'ooooio. 
 
 I 
 
 2 
 
 3 
 
 EC., Oc. 
 
 P 
 
 Sh., Tr. 
 
 d 
 O-OO0002 
 
 195O 
 
 d 
 0-OOOO38 
 
 3 
 
 52 
 
 37 
 
 7 
 
 54 
 
 33 
 
 '3 
 
 56 
 
 *7 
 
 20 
 
 58 
 
 20 
 
 27 
 
 60 
 
 '3 
 
 O-OOOO34 
 
 1962 
 
 0-000006 
 
 38 
 
 64 
 
 2 
 
 39 
 
 66 
 
 I 
 
 37 
 
 68 
 
 3 
 
 3i 
 
 7O 
 
 9 
 
 0-000024 
 
 1972 
 
 0-000016 
 
 1 6 
 
 74 
 
 2 4 
 
 9 
 
 76 
 
 3 1 
 
 4 
 
 78 
 
 36 
 
 i 
 
 80 
 
 39 
 
 O'OOOOOI 
 
 1982 
 
 0-000039 
 
 5 
 
 84 
 
 35 
 
 ii 
 
 86 
 
 29 
 
 18 
 
 88 
 
 22 
 
 26 
 
 9O 
 
 H 
 
 0-000032 
 
 1992 
 
 0-OOOOO8 
 
 37 
 
 94 
 
 3 
 
 38 
 
 96 
 
 2 
 
 35 
 
 98 
 
 r 
 
 j 
 
 0-000030 
 
 2OOO 
 
 o-ooooio 
 
 LXIII 
 
 I 
 
 2 
 
 I 
 
 2 
 
 u 
 
 EC., Oc., 
 Sh., Tr. 
 
 U 
 
 EC., Oc., 
 Sh., Tr. 
 
 d 
 
 d 
 
 d 
 
 d 
 
 00 
 
 0-OOOO30 
 
 20 
 
 O-OOOOI5 
 
 1 
 
 23 
 
 1 
 
 IO 
 
 2 
 
 16 
 
 2 
 
 9 
 
 3 
 
 ii 
 
 3 
 
 10 
 
 4 
 
 9 
 
 4 
 
 '3 
 
 5 
 
 9 
 
 5 
 
 18 
 
 06 
 
 O-OOOOI2 
 
 26 
 
 0-000025 
 
 7 
 
 '7 
 
 7 
 
 32 
 
 8 
 
 23 
 
 8 
 
 40 
 
 9 
 
 3' 
 
 9 
 
 46 
 
 i-o 
 
 38 
 
 30 
 
 5 
 
 1-1 
 
 0-OOOO45 
 
 3-1 
 
 0-000051 
 
 2 
 
 49 
 
 2 
 
 5o 
 
 3 
 
 Si 
 
 3 
 
 47 
 
 4 
 
 5' 
 
 4 
 
 4i 
 
 s 
 
 48 
 
 5 
 
 34 
 
 1-6 
 
 0-000042 
 
 3-6 
 
 0-000027 
 
 7 
 
 36 
 
 7 
 
 '9 
 
 8 
 
 28 
 
 8 
 
 H 
 
 9 
 
 21 
 
 9 
 
 10 
 
 2-0 
 
 O-OOOOI5 
 
 4-O 
 
 0-000009 
 
 Constant: +o d 'oooo>o. 
 
 Constant: +o a -oooo3o. 
 
 '3' 
 
LXIV 
 
 SATELLITE II 
 
 Tables of the Phenomena 
 
 Reduction to Middle 
 
 Occultations 
 
 V 
 y\ 
 
 O^O O d< 2 O d -4 
 
 O d -6 O d '8 1 d 'O 
 
 i d -2 i d 4 i d e 
 
 1<i. 8 2 d O 2 d 2 
 
 2 d -4 2 d '6 2 d -8 
 
 3 d O 3 d -2 3 d '4 
 
 3 d -6 3 d '8 4 d -O 
 
 d 
 
 
 
 
 
 
 
 
 o 
 
 + 6 + 6 + 4 
 
 + 3 + i - i 
 
 - 3 - 5-6 
 
 6 - 5-4 
 
 - 3 - i + i 
 
 + 3 + 5 + 6 
 
 + 6 + 5+4 
 
 10 
 
 +29+27+22 
 
 + H + 5-6 
 
 -15 -- 23 -- 27 
 
 - 29 -- 26 -21 
 
 -13 --3 + 7 
 
 + 16 + 23 + 28 
 
 + 28 + 26+20 
 
 20 
 
 +50+47+38 
 
 + 25 + 8 -10 
 
 -26 - 40 - 48 
 
 -50-46-37 
 
 -23 - 6 +12 
 
 + 28 + 41+48 
 
 + 50 + 45 +35 
 
 30 
 
 +71+66+54 
 
 + 35 +u -14 
 
 -37-56-67 
 
 -71-65-52 
 
 -32 - 8 +17 
 
 + 40 + 57 + 68 
 
 + 70+64+49 
 
 40 
 
 +89+84+67 
 
 + 43 +14 -17 
 
 -47-70-85 
 
 -89-82-65 
 
 -40 - 10 +21 
 
 + 50 + 72 + 86 
 
 + 88 + 80+62 
 
 50 
 
 + 105 + 98 + 79 
 
 + 51 +17 -20 
 
 - 55 - 82 - 100 
 
 -105 - 97 -76 
 
 -47 -12 +25 
 
 + 59 + 85 +10) 
 
 + 104 + 94 +73 
 
 6O 
 
 + 117 +110 + 89 
 
 + 57 +18 -23 
 
 -62 -- 92 - 1 12 
 
 -117 - 108 - 85 
 
 -53 -13 +28 
 
 + 66 + 95 +113 
 
 + 116 +106 +82 
 
 7O 
 
 + 126 +119 + 96 
 
 + 62 +20 -25 
 
 -66 - 100 - 1 20 
 
 - 126 - 1 17 - 92 
 
 -57 -H +3 
 
 + 71 +102 +121 
 
 + 125 +114 +88 
 
 80 
 
 + 132 +124 + 100 
 
 + 64 +21 -26 
 
 -69 - 104 - 126 
 
 -132 - 122 -96 
 
 -59 -15 +32 
 
 + 74 +107 +127 
 
 + 131 +118 +92 
 
 9O 
 
 + 133 +125 +101 
 
 + 65 +21 -26 
 
 - 70 - 105 - 127 
 
 -133 -'23 -97 
 
 -60 -15 +32 
 
 + 75 +108 +128 
 
 + 132 +120 +93 
 
 100 
 
 + 130 +123 + 99 
 
 + 64 +21 -26 
 
 -69 - 103 - 125 
 
 -130 -121 -95 
 
 -59 -15 +3' 
 
 + 74 +106 +126 
 
 + 129 +118 +91 
 
 110 
 
 + 124 +117 + 94 
 
 + 61 +20 -24 
 
 -65 - 98 -119 
 
 -124 -115 - 9 I 
 
 -56 - 14 +30 
 
 + 70 +101 +120 
 
 + 123 +112 +87 
 
 12O 
 
 + 114 +107 + 87 
 
 + 56 +l8 -22 
 
 -60 - 90 - 109 
 
 - 1 14 - 106 - 83 
 
 -52 -13 +27+64 + 93 +110 
 
 + 113 +103 +80 
 
 ISO 
 
 + 101 +95 + 77 
 
 + 49 +16 -20 
 
 -53 -- 80 -- 96 
 
 -loi - 93 -74 
 
 -46 -12 +241+57 + 82 + 97 
 
 + 100 + 91 +71 
 
 140 
 
 +85+80+64 
 
 + 41 +13 -17 
 
 -45 - 67 - 81 
 
 -85-78 -62 
 
 -38 - 10 +20 
 
 + 48 + 69 + 81 
 
 + 84 + 76+59 
 
 ISO 
 
 +66+62+50 
 
 + 32 +10 - 13 
 
 -35 - 52 - 63 
 
 - 66 -- 61 -48 
 
 -30 - 7 +16 
 
 + 37 + 54 + 63 
 
 + 65 + 60+46 
 
 16O 
 
 +45+42+34 
 
 + 22 + 7 -- 9 
 
 -24 - 36 - 43 
 
 - 45 - 4 2 -33 
 
 -20 - 5 +11 
 
 + 25 + 37 + 43 
 
 + 45+41 +32 
 
 17O 
 
 +23+22+17 
 
 + u + 4 -- 4 
 
 -12 - l8 - 22 
 
 -23-21 -17 
 
 -10-3 + 6 
 
 + 13 + 19 + 22 
 
 + 23 + 21 + 16 
 
 ISO 
 
 coo 
 
 O O 
 
 o o o 
 
 o o o 
 
 O 
 
 o o o 
 
 O O 
 
 190 
 
 -23-21-17 
 
 -ii - 4 + 4 
 
 +12 +18+22 
 
 + 23 + 21 +16 
 
 + 10 + 3 -- 5 
 
 - 13 - l8 -- 22 
 
 22-20-16 
 
 2OO 
 
 -44-42-34 
 
 -22-7 + 9 
 
 + 23 + 35 + 42 
 
 + 44 + 41 +32 
 
 + 20 + 5 - ii 
 
 -25 -- 36 - 43 
 
 - 44 - 40 -3i 
 
 21O 
 
 - 65 - 62 - 50 
 
 -32 - 10 +13 
 
 + 34+52 + 62 
 
 + 65 + 61 +48 
 
 + 30 + 7 -16 
 
 -37-53-63 
 
 -65-59-46 
 
 22O 
 
 -84-79-64 
 
 -41 -13 +16 
 
 + 44 + 66 + 80 
 
 + 84 + 78 +61 
 
 + 38 + 9 -20 
 
 -47 - 68 - 81 
 
 -84-76-59 
 
 23O 
 
 - ioi - 95 - 76 
 
 -49 - 1 6 +20 
 
 + 53 + 79 + 9 6 
 
 + 101 + 93 +73 
 
 + 45 +n -24 
 
 -57 -- 82 - 97 
 
 100 91 - 70 
 
 240 
 
 -114 -107 - 86 
 
 -56 -l8 +22 
 
 + 60 + 90 +109 
 
 + 114 +105 +83 
 
 + 51 +13 -27 
 
 -64 - 93 -no 
 
 - 113 - 103 - 80 
 
 25O 
 
 -124 -117 - 94 
 
 - 61 -20 +24 
 
 + 65 + 98 +118 
 
 + 124 +115 +91 
 
 + 56 +14 -30 
 
 -70 - ioi - 119 
 
 - 123 - I 12 - 87 
 
 26O 
 
 -130 -123 - 99 
 
 -64 -21 +26 
 
 + 69 +103 +125 
 
 + 130 +121 +95 
 
 + 59 +15 -3i 
 
 - 74 - 106 - 126 
 
 -129 -118 -91 
 
 270 
 
 -133 - 125 - ioi 
 
 -65 -21 +26 
 
 + 70 +105 +127 
 
 + 133 +123 +97 
 
 + 60 +15 - 32 
 
 -75 - 106 - 128 
 
 - 132 - 120 -93 
 
 28O 
 
 -132 - 124 - 100 
 
 -64 -21 +26 
 
 + 69 +104 +126 
 
 + 132 +122 +96 
 
 + 59 +'5 -32 
 
 -74 -107 -127 
 
 - 131 - Ilg -92 
 
 290 
 
 - 126 - 119 - 96 
 
 -62 -20 +25 
 
 + 66 + 100 + 121 
 
 + 126 +117 +92 
 
 + 57 +H -3 
 
 - 71 - IO2 - 121 
 
 -125 -114 -88 
 
 300 
 
 -117 - 1 10 - 89 
 
 -57 -19 +23 
 
 + 62 + 93 +112 
 
 + 117 +108 +85 
 
 + 53 +13 -28 
 
 -65 -- 95 -113 
 
 - 1 16 - 106 -82 
 
 310 
 
 - 105 - 99 - 80 
 
 -51 -17 +20 
 
 + 55 + 83 +100 
 
 + 105 + 97 +76 
 
 + 47 +12 -25 
 
 -59 " 8 5 -ioi 
 
 -104 -95-73 
 
 32O 
 
 - 89 - 84 - 68 
 
 -44 -14 +17 
 
 + 47 + 70+85 
 
 + 89 + 82 +65 
 
 + 4O +10 - 2 1 
 
 - 50 - 72 - 86 
 
 -88-80-62 
 
 33O 
 
 - 71 - 67 - 54 
 
 -35 -ii +H 
 
 + 37 + 56 + 6 
 
 + 71 + 66+52 
 
 + 32 + 8 - 17 
 
 -40 - 58 -- 68 
 
 - 70 - 64 - 50 
 
 340 
 
 51-48-38 
 
 -25 - 8 +10 
 
 + 27 + 40 + 48 
 
 + 51+47+37 
 
 + 23 + 6 - 12 
 
 -29 - 41 - 49 
 
 - 50 -46-35 
 
 350 
 
 - 29 - 27 - 22 
 
 -14-5 + 6 
 
 + 15 + 23 + 27 
 
 + 29 + 27 +21 
 
 + 13 + 3 -- 7 
 
 -16-23-2? 
 
 - 29 - 26 - 20 
 
 36O 
 
 - 6 - 6 - 5 
 
 - 3 - i + i 
 
 + 3 + 5 + 6 
 
 + 6 + 6 + 5 
 
 + 3 + i - 2 
 
 - 4 - 5 - 6 
 
 - 6 - 6-4 
 
 37O 
 
 +17+16+11 
 
 + 8 + 3-3 
 
 -9-13-16 
 
 -17-15 -12 
 
 -2 + 4 
 
 + 9+14+16 
 
 + 17+15+12 
 
 380 
 
 +39+37+25 
 
 + 19 + 6 -- 8 
 
 -20 -31-37 
 
 -39-36-28 
 
 - 18 -- 4 + 9 
 
 + 22 + 32 + 37 
 
 + 39+35 +27 
 
 39O 
 
 +60+57+46 
 
 + 29 + 9 -14 
 
 -32-47-57 
 
 - 60 - 56-44 
 
 -27 - 7 +14 
 
 + 34 + 49 + 58 
 
 + 60+54+42 
 
 4OO 
 
 + 80 + 75 + 6c 
 
 + 39 +13 -16 
 
 -42-63-76 
 
 -80-74-58 
 
 -36 - 9 +19 
 
 + 45 +65 + 77 
 
 + 79 + 72+56 
 
 The unit in this Table equals o d 'oooooi. 
 
 No Constant has been added. 
 
 132 
 
LXV 
 
 SATELLITE II 
 
 Tables of the Phenomena 
 
 Reduction to Middle 
 
 Transits 
 
 \ 
 
 A 
 
 O d. o O d. 2 Q d -4 
 
 O d. 6 O d. 8 !d. o 
 
 1 d -2 1 d -4 1 d -6 
 
 1 d. 8 2 d 'O 2 d -2 
 
 2 d 4 2 d -6 2 d 8 
 
 3 d. o 3 d. 2 3 d. 4 
 
 3 d 6 3 d> 8 4 d O 
 
 d 
 
 
 
 
 
 
 
 
 o 
 
 6 - 5-4 
 
 -3-1 + 1 
 
 + 3 + 4 + 5 
 
 + 6+5+4 
 
 + 2 + 1-2 
 
 - 3 - 4 _ 5 
 
 6-5-4 
 
 10 
 
 - 35 - 33 - 26 
 
 -17 -6 + 7 
 
 + 19 + 27 + 34 
 
 + 35 + 32 + 25 
 
 + 16 + 4-9 
 
 - 20 - *8 34 
 
 - 35 - 32 -- 25 
 
 20 
 
 - 64 -- 60 - 48 
 
 -31 - 10 +13 
 
 + 34+50 + 61 
 
 +64+58+47 
 
 + 28 + 7 -16 
 
 -36 - 51 - 62 
 
 - 63 - 57 - 44 
 
 30 
 
 -90-85-68 
 
 -44 -14 +18 
 
 + 48 + 71 + 86 
 
 +90+82+65 
 
 + 40 +IO -22 
 
 -51 - 74 - 87 
 
 -90-81 - 6, 
 
 40 
 
 - 114 - 108 -- 87 
 
 -57 -18 +23 
 
 + 61 + 91 +109 
 
 + 114 +105 + Si 
 
 + 52 +13 -28 
 
 - 65 - 92 - no 
 
 - 114 - 103 - 80 
 
 50 
 
 -137 - 128 - 104 
 
 -67 -2i +27 
 
 + 72 +108 +130 
 
 + 137 +126 +100 
 
 + 61 +15 -33 
 
 -77 -in -132 
 
 - 136 - 123 - 96 
 
 60 
 
 -153 -143 -116 
 
 -75 -24 +3 
 
 + 81 +121 +146 
 
 +153 +141 +112 
 
 + 69 +17 -37 
 
 -86 - 124 - 148 
 
 - 152 - 138 - 107 
 
 7O 
 
 -165 -155 -125 
 
 -81 -26 +32 
 
 + 87 +130 +157 
 
 +l65 +152 +120 
 
 + 74 +18 -40 
 
 -93 -134 -159 
 
 - 1 64 - 1 49 - 1 1 ( 
 
 8O 
 
 - 172 - 161 -131 
 
 -84 -27 +34 
 
 + 91 +135 +164 
 
 +172 +158 +126 
 
 + 77 +19 -42 
 
 -97 -139 -'66 
 
 -171 -155 -121 
 
 9O 
 
 -174 -163 -132 
 
 -85 -27 +34 
 
 + 92 +137 +166 
 
 + 174 +160 +127 
 
 + 78 +19 -42 
 
 -98 -141 -168 
 
 -'73 -157 -122 
 
 100 
 
 - 171 - 160 - 129 
 
 -83 -26 +33 
 
 + 90 +134 +163 
 
 + 171 +157 +125 
 
 + 77 +19 -4> 
 
 -96 -138 -165 
 
 - 170 - 154 - 1 20 
 
 110 
 
 - 163 - 152 - 123 
 
 -79 ~ 2 5 +3* 
 
 + 86 +128 +155 
 
 + 163 +149 +119 
 
 + 73 +18 -39 
 
 -92 -132 -157 
 
 - 162 - 147 -11, 
 
 120 
 
 -149 -140 -113 
 
 -73 -23 +29 
 
 + 79 +118 +143 
 
 + 149 +137 +ioc 
 
 + 67 +16 -36 
 
 - 84 - 121 - 144 
 
 -'49 -'35 -105 
 
 ISO 
 
 - 132 - 124 - 100 
 
 -65 -20 +26 
 
 + 70 +104 +126 
 
 +132 +121 + 96 
 
 + 59 + J 4 -32 
 
 -74 -107 -128 
 
 - 131 - 119 - 9; 
 
 140 
 
 - 1 13 - 106 - 85 
 
 -54 -17 +22 
 
 + 59 + 88 +108 
 
 +113 +104 + 82 
 
 + 50 +12 -27 
 
 -62 - 91 - 109 
 
 - 112 - IOI - 7( 
 
 150 
 
 - 88 - 83 - 66 
 
 - 4 2 -13 +17 
 
 + 46 + 69 + 84 
 
 + 88 + 81+64 
 
 + 39 + 9 -2i 
 
 -49-71 - 85 
 
 -88-80-61 
 
 160 
 
 - 61 - 57 - 45 
 
 - 29 - 9 +12 
 
 + 31 + 48 + 58 
 
 +61+55+44 
 
 + 26 + 6 - 14 
 
 -33 " 49 - 59 
 
 - 61 -- 55 - 42 
 
 170 
 
 -32-30-25 
 
 -15-5 + 6 
 
 + 16 + 26 + 31 
 
 +32+30+24 
 
 + 13 + 3-7 
 
 -17 - 26 - 31 
 
 - 32 - 29 - 22 
 
 180 
 
 o o o 
 
 O O 
 
 o o o o o o 
 
 O 
 
 o o o 
 
 000 
 
 190 
 
 + 28 + 26 + 20 
 
 + 14+5-6 
 
 - 16 - 21 - 26 - 28 - 25 - 20 
 
 -13-3 + 7 
 
 + 17 + 22 + 27 
 
 +27+25+19 
 
 200 
 
 + 56 + 52 + 43 
 
 + 28 + 9 - ii 
 
 -3i - 45 - 53 
 
 -56-51-41 
 
 -26 - 6 +14 
 
 + 33 + 46 + 54 
 
 +56+50+40 
 
 210 
 
 + 84 + 78 + 64 
 
 + 42 +13 -17 
 
 -45 -- 66 -- 80 
 
 -84-77-61 
 
 -38 - 9 +21 
 
 + 48 + 67 + 81 
 
 + 83 + 75 + 59 
 
 220 
 
 + 108 +ioi + 83 
 
 + 54 +17 -22 
 
 -58 - 57 -103 
 
 -108 - 99 - 79 
 
 -49 -12 +27 
 
 + 62 + 88 +104 
 
 + 108 + 98 + 76 
 
 230 
 
 + 132 +123 +100 
 
 + 64 +20 - 26 
 
 - 70 - 104 - 126 
 
 - 132 - 121 - 96 
 
 -59 -14 +32 
 
 + 74 +107 +127 
 
 + 131 +119 + 92 
 
 240 
 
 + 149 + 140 +113 
 
 + 73 +23 -29 
 
 -79 -117 -142 
 
 -149 -137 -I0 9 
 
 -67 - 16 +36 
 
 + 84 +121 +144 
 
 + 148 +135 +105 
 
 250 
 
 + 162 +152 + 123 
 
 + 79 + 25 -S 2 
 
 -86 -128 -155 
 
 - 162 - 149 - nJ 
 
 -73 -18 +39 
 
 + 91 +132 +157 
 
 + 161 +146 +iit 
 
 260 
 
 + 171 + 1 60 +129 
 
 + 83 +26 -33 
 
 -90 -134 -163 
 
 -171 -157 -125 
 
 -77 -19 +41 
 
 + 96 +138 +165 
 
 +170 +154 +120 
 
 27O 
 
 + 174 +163 +132 
 
 + 85 +27 -34 
 
 -92 - 137 - 166 
 
 - 174 - 160 - 127 
 
 -78 -19 +42 
 
 + 98 +HI +168+173 +157 +122 
 
 28O 
 
 + 172 +161 +131 
 
 + 84 +27 -34 
 
 -91 -135 -164 
 
 - 172 - 158 - 126 
 
 -77 -19 +42 
 
 + 97 +139 +166 
 
 +171 +155 +121 
 
 29O 
 
 + 165 +155 +125 
 
 + 81 +26 -32 
 
 - 87 - 130 - 158 
 
 - 165 - 152 - 121 
 
 - 74 - 1 8 +40 
 
 + 93 +'34 +'59 
 
 + 164 +149 +116 
 
 3OO 
 
 + 153 +144 +116 
 
 + 75 + 24 -3 
 
 -81 -I2i -146 
 
 -153 -141 -112 
 
 -69 -17 +37 
 
 + 86 +124 +148 
 
 + 152 +138 +107 
 
 31O 
 
 + 137 +128 +104 
 
 + 67 +21 -27 
 
 -72 -108 -131 
 
 - 137 - 126 - 100 
 
 -61 -15 +33 
 
 + 77 +iii +132 
 
 + 136 +124 + 96 
 
 32O 
 
 + 117 +109 + 88 
 
 + 57 +18 -23 
 
 -62 - 92 -in 
 
 -117 -107 -- 85 
 
 -52 -13 +28 
 
 + 66 + 94 +113 
 
 + 116 +105 + 82 
 
 33O 
 
 + 95 + 89 + 71 
 
 + 45 +14 -18 
 
 -49 " 74 - 9 1 
 
 -95-87-69 
 
 -42 - IO +22 
 
 + 52 + 76 + 92 
 
 + 94 + 86 + 66 
 
 340 
 
 +68+54+51 
 
 + 33 +10 -13 
 
 -36-54-65 
 
 -68-63-49 
 
 -30 - 7 +16 
 
 + 38 + 56 + 66 
 
 +68+62+47 
 
 350 
 
 +40+37+30 
 
 + 18 + 6-7 
 
 -20 - 31 - 38 
 
 - 40 - 37 - 28 
 
 -17-4 + 9 
 
 + 22 + 32 + 38 
 
 +39+36+27 
 
 360 
 
 + 10 + 10 + 7 
 
 + 5 + i - 2 
 
 - 5 - 7 - 10 
 
 - 10 - 10 - 7 
 
 - 5 -- i + 2 
 
 + 6 + 9+10 
 
 + 10 + 9 + 8 
 
 37O 
 
 -20-18-15 
 
 -10-3 + 4 
 
 + 11 + 15 + 19 
 
 +20+18+15 
 
 + 10+2-5 
 
 -n 17 - 19 
 
 - 20 - 18 - 14 
 
 380 
 
 - 49 - 46 - 38-24 - 8 +10 
 
 + 26+39 + 46 
 
 +49+45+36 
 
 + 23 + 6 - 12 
 
 -28 - 39 - 47 
 
 - 49 - 44 - 35 
 
 39O 
 
 - 77 - 7* - 59 
 
 -37 -'2 +15 
 
 + 41 +61+73 
 
 +77+70+56 
 
 + 35 + 9 -19 
 
 -43-62-74 
 
 - 76 - 69 - 54 
 
 400 
 
 -102 - 95 - 78 
 
 -51 - l6 +20 
 
 + 55 + 81+97 
 
 + 102 +94 + 75 
 
 + 47 +11 -25 
 
 -59-83-98 
 
 - 101 - 92 - 72 
 
 The unit in this Table equals o"'oooooi. 
 
 No Constant has been added. 
 
 '33 
 
LXVI 
 
 SATELLITE II 
 
 Tables of the Phenomena 
 
 Corrections for Phase 
 
 Sh., Tr. 
 
 I 
 
 z 
 
 3 
 
 4 
 
 5 
 
 6 
 
 Additional 
 
 
 Correcting 
 
 
 Correct- 
 
 
 Equation 
 of Semi- 
 
 p 
 
 Factor 
 for Semi- 
 
 A 
 O d 'OOI 
 
 ng Factor 
 or Reduc- 
 
 A 
 O d 'OOI 
 
 duration. 
 
 
 duration. 
 
 
 tion. 
 
 
 d 
 O'OOOOOO 
 
 d 
 0000 
 
 ooooo 
 
 O 
 
 oooo 
 
 O 
 
 
 
 002 
 
 i 
 
 - I 
 
 o 
 
 o 
 
 
 
 004 
 
 3 
 
 I 
 
 I 
 
 
 
 o 
 
 006 
 
 6 
 
 2 
 
 I 
 
 
 
 o 
 
 008 
 
 10 
 
 3 
 
 2 
 
 - 
 
 o 
 
 01 o 
 
 16 
 
 3 
 
 3 
 
 
 O'OOOOOO 
 
 0012 
 
 - -00023 
 
 - 4 
 
 - -0005 
 
 _ 
 
 o 
 
 O1 4 
 
 3' 
 
 4 
 
 6 
 
 
 o 
 
 O1 6 
 
 40 
 
 5 
 
 8 
 
 
 
 
 O1 8 
 
 5 1 
 
 6 
 
 10 
 
 
 
 
 02O 
 
 64 
 
 7 
 
 '3 
 
 
 O'OOOOOO 
 
 0022 
 
 - -00077 
 
 - 7 
 
 - -oo 1 5 
 
 _ 
 
 o 
 
 024 
 
 9 1 
 
 8 
 
 18 
 
 
 o 
 
 026 
 
 107 
 
 8 
 
 21 
 
 2 
 
 o 
 
 O28 
 
 124 
 
 9 
 
 25 
 
 2 
 
 o 
 
 03O 
 
 '43 
 
 10 
 
 28 
 
 2 
 
 O'OOOOOI 
 
 0032 
 
 - '00162 
 
 - 10 
 
 - -0032 
 
 - 2 
 
 I 
 
 034 
 
 182 
 
 ii 
 
 36 
 
 2 
 
 I 
 
 036 
 
 205 
 
 12 
 
 4 1 
 
 2 
 
 I 
 
 038 
 
 229 
 
 12 
 
 45 
 
 2 
 
 I 
 
 040 
 
 253 
 
 12 
 
 So 
 
 2 
 
 O'OOOOOI 
 
 0042 
 
 - -00278 
 
 - 13 
 
 -0055 
 
 
 I 
 
 044 
 
 306 
 
 "4 
 
 61 
 
 3 
 
 I 
 
 O46 
 
 335 
 
 15 
 
 66 
 
 3 
 
 I 
 
 04S 
 
 364 
 
 15 
 
 7* 
 
 3 
 
 I 
 
 O50 
 
 395 
 
 10 
 
 79 
 
 3 
 
 O'OOOOOI 
 
 0052 
 
 - -00428 
 
 -17 
 
 - -0085 
 
 - 3 
 
 I 
 
 054 
 
 46, 
 
 17 
 
 9* 
 
 3 
 
 2 
 
 O56 
 
 496 
 
 II 
 
 99 
 
 3 
 
 2 
 
 058 
 
 53> 
 
 18 
 
 106 
 
 4 
 
 2 
 
 060 
 
 568 
 
 '9 
 
 i'3 
 
 4 
 
 O'OOOOOZ 
 
 0062 
 
 -00607 
 
 - 20 
 
 - "OI2I 
 
 - 4 
 
 o'oooooz 
 
 OO64 
 
 -00646 
 
 - 2O 
 
 - -0129 
 
 - 4 
 
 i 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 Additional 
 
 
 Correcting 
 
 
 Correct- 
 
 
 Equation 
 
 
 Factor 
 
 A 
 
 ing Factor 
 
 A 
 
 of Semi- 
 
 
 for Semi- 
 
 Qd-OOI 
 
 for Reduc- 
 
 O d- OOI 
 
 duration. 
 
 
 duration. 
 
 
 tion. 
 
 
 0-000002 
 
 d 
 
 0064 
 
 - -00646 
 
 - 2O 
 
 - -0129 
 
 - 4 
 
 2 
 
 066 
 
 688 
 
 21 
 
 138 
 
 4 
 
 2 
 
 O68 
 
 730 
 
 21 
 
 146 
 
 4 
 
 3 
 
 O7O 
 
 773 
 
 22 
 
 155 
 
 4 
 
 3 
 
 O72 
 
 818 
 
 *3 
 
 164 
 
 5 
 
 3 
 
 O74 
 
 865 
 
 *4 
 
 173 
 
 5 
 
 0-000003 
 
 O 076 
 
 -00912 
 
 -2 4 
 
 -0183 
 
 - 5 
 
 3 
 
 O78 
 
 960 
 
 24 
 
 193 
 
 5 
 
 3 
 
 080 
 
 1009 
 
 25 
 
 203 
 
 5 
 
 4 
 
 O82 
 
 1061 
 
 26 
 
 214 
 
 5 
 
 4 
 
 084 
 
 1113 
 
 z6 
 
 224 
 
 5 
 
 0-000004 
 
 0086 
 
 - -01166 
 
 -27 
 
 -0235 
 
 - 6 
 
 4 
 
 088 
 
 1221 
 
 28 
 
 246 
 
 6 
 
 4 
 
 090 
 
 1278 
 
 29 
 
 258 
 
 6 
 
 5 
 
 092 
 
 1335 
 
 29 
 
 270 
 
 6 
 
 5 
 
 094 
 
 1393 
 
 29 
 
 281 
 
 6 
 
 0*000005 
 
 0096 
 
 - -01452 
 
 -3 
 
 - -0293 
 
 - 6 
 
 5 
 
 098 
 
 I5H 
 
 3i 
 
 306 
 
 6 
 
 6 
 
 100 
 
 1576 
 
 3i 
 
 319 
 
 6 
 
 6 
 
 102 
 
 1639 
 
 32 
 
 332 
 
 7 
 
 6 
 
 104 
 
 1703 
 
 33 
 
 345 
 
 7 
 
 o - ooooo6 
 
 106 
 
 - -01770 
 
 -34 
 
 - -0360 
 
 - 7 
 
 7 
 
 1O8 
 
 1837 
 
 34 
 
 374 
 
 7 
 
 7 
 
 110 
 
 1905 
 
 35 
 
 388 
 
 7 
 
 7 
 
 112 
 
 '975 
 
 36 
 
 402 
 
 8 
 
 7 
 
 114 
 
 2047 
 
 36 
 
 418 
 
 8 
 
 0-000008 
 
 O 116 
 
 - -02118 
 
 -36 
 
 -433 
 
 - 8 
 
 8 
 
 118 
 
 2191 
 
 37 
 
 448 
 
 8 
 
 8 
 
 120 
 
 Z2&5 
 
 37 
 
 464 
 
 8 
 
 8 
 
 122 
 
 2340 
 
 38 
 
 480 
 
 8 
 
 8 
 
 124 
 
 2417 
 
 39 
 
 496 
 
 8 
 
 0-000008 
 
 0126 
 
 - '02497 
 
 -40 
 
 -0513 
 
 - 8 
 
 0-000008 
 
 128 
 
 - -02578 
 
 -41 
 
 -0530 
 
 - 8 
 
 The Argument is the Annual Parallax p as computed from the Approximate Tables IV, V, VI. 
 
 No Constant has been added to Column i, which gives an Additional Equation of the Semiduration. Columns 3 and 5 must be multiplied respectively into the 
 Semiduration as taken from Tables L-LVI, and the Reduction as taken from Tables LVTI-LXV, and the products taken as further corrections to these quantities. 
 
 When p is positive, these corrections apply to Ingress for the Shadow and Egreit for Transit of Disc ; when p is negative, they apply to Eyress for the Shadow and Ingreei 
 for Transit of Disc. 
 
 '34 
 
LXVII 
 
 Standard Light-Curve of Eclipse 
 
 SATELLITE II 
 
 Tables of the Phenomena 
 
 Progress of an Eclipse 
 
 LXVIII 
 
 Mean Motion in 
 Light-Curve 
 
 LXIX 
 
 Equation of 
 Motion 
 
 i 
 
 2 
 
 k 
 
 Magnitude 
 
 -SO 
 
 o-oo 
 
 28 
 
 01 
 
 26 
 
 02 
 
 24 
 2-2 
 
 04 
 06 
 
 20 
 
 08 
 
 - '8 
 
 o-u 
 
 6 
 
 16 
 
 4 
 
 21 
 
 2 
 
 27 
 
 O 
 
 3* 
 
 -O8 
 
 0-39 
 
 06 
 04 
 -O2 
 
 47 
 56 
 66 
 
 00 
 
 075 
 
 I 
 
 2 
 
 A: 
 
 Magnitude 
 
 00 
 
 0-75 
 
 +02 
 
 85 
 
 04 
 
 98 
 
 06 
 
 1-14 
 
 08 
 
 1-31 
 
 10 
 
 1-48 
 
 + 12 
 
 1-66 
 
 14 
 
 r88 
 
 1-6 
 
 2-16 
 
 18 
 
 2-51 
 
 20 
 
 2-92 
 
 + 2'2 
 
 3-25 
 
 24 
 
 3-70 
 
 26 
 
 4'3^ 
 
 2-8 
 
 5'39 
 
 + 30 
 
 S'99 
 
 The Co-ordinate * is the fraction or multiple of the radius of the 
 Sun which is cut off by Jupiter's rim, as seen from the Centre of the 
 Satellite. 
 
 I 
 
 2 
 
 3 
 
 Latitude 
 
 A k for i' 
 
 Latitude 
 
 00 
 
 0158 
 
 1 40 
 
 02 
 
 163 
 
 38 
 
 04 
 
 167 
 
 36 
 
 06 
 
 171 
 
 34 
 
 08 
 
 >75 
 
 32 
 
 10 
 
 179 
 
 30 
 
 12 
 
 0182 
 
 28 
 
 14 
 
 186 
 
 26 
 
 16 
 
 189 
 
 24 
 
 18 
 
 192 
 
 22 
 
 20 
 
 '95 
 
 2O 
 
 22 
 
 0198 
 
 18 
 
 24 
 
 200 
 
 16 
 
 26 
 
 203 
 
 14 
 
 28 
 
 205 
 
 12 
 
 30 
 
 207 
 
 10 
 
 32 
 
 0209 
 
 08 
 
 34 
 
 211 
 
 06 
 
 36 
 
 213 
 
 O4 
 
 38 
 
 215 
 
 02 
 
 4O 
 
 217 
 
 oo 
 
 42 
 
 0218 
 
 0-98 
 
 44 
 
 220 
 
 96 
 
 46 
 
 221 
 
 O-94 
 
 48 
 
 222 
 
 92 
 
 50 
 
 223 
 
 090 
 
 52 
 
 0224 
 
 0-88 
 
 54 
 
 225 
 
 086 
 
 56 
 
 226 
 
 084 
 
 58 
 
 227 
 
 082 
 
 6O 
 
 227 
 
 080 
 
 62 
 
 0228 
 
 0-78 
 
 64 
 
 228 
 
 076 
 
 66 
 
 228 
 
 0-74 
 
 68 
 
 228 
 
 0-72 
 
 70 
 
 0229 
 
 070 
 
 i 
 
 2 
 
 Variation 
 
 Correction 
 
 -O2 
 - O1 
 
 + '0002 
 
 + i 
 
 00 
 
 o 
 
 + 01 
 
 i 
 
 + 02 
 
 - -OOO2 
 
 The Argument It the Varia- 
 tion as derived from Tables 
 XXXIII-XXXVI ; the Correc- 
 tion is to be applied to the 
 Equation of Table LXVIII. 
 
 The Velocity of * per i as 
 derived from Tables LXVIII 
 corrected by Table LXIX is 
 to be taken with sign, 
 + for Disappearance 
 - for Reappearance. 
 
 35 
 
SATELLITE III 
 
 Approximate Tables 
 
 of 
 
 Heliocentric and Geocentric Conjunction 
 
SATELLITE III 
 
 Approximate Tables of Conjunction 
 
 Epochs for Approximate Conjunction 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 10 
 
 ii 
 
 
 Year 
 
 Conjunc- 
 tion 
 
 Variation 
 for ioo d 
 
 a 
 
 Variation 
 for ioo d 
 
 ft 
 
 1 
 
 1 
 
 1 
 
 r 
 
 1 
 
 
 d 
 
 
 d 
 
 
 d 
 
 d d d d 
 
 d 
 
 
 185O 
 
 3-3I52 
 
 + o,5 
 
 I788-5 
 
 o 
 
 335'59 
 
 2-8 
 
 1-88 
 
 S'97 
 
 5-27 
 
 3-95 
 
 The constant -o d -i3Oo 
 
 
 
 
 
 
 
 
 
 
 
 
 has been applied to 
 
 1851 
 
 3-8012 
 
 0,8 
 
 2I54-I 
 
 + 'I 
 
 302-19 
 
 3 4 
 
 0-71 
 
 6-52 
 
 5-86 
 
 4-55 
 
 each entry in column 
 
 *1852 
 
 4-2872 
 
 + o,5 
 
 2519-8 
 
 o 
 
 268-79 
 
 3'2 
 
 6-60 
 
 7-08 
 
 6-45 
 
 5-I5 
 
 2, and -o d -i2 to each 
 
 1853 
 
 3773* 
 
 0,0 
 
 2885-4 
 
 o 
 
 235-39 
 
 3'4 
 
 5'44 
 
 0-48 
 
 7-04 
 
 576 
 
 entry in columns 6-1 1 . 
 
 1854 
 
 4-2589 
 
 + o,5 
 
 3250 - 9 
 
 o 
 
 201-99 
 
 37 
 
 4-28 
 
 1-03 
 
 0-48 
 
 6-36 
 
 
 1855 
 
 47449 
 
 - i,4 
 
 3616-5 
 
 - -I 
 
 168-59 
 
 3'9 
 
 3-12 
 
 1-58 
 
 1-07 
 
 6-96 
 
 Column 2 corrected by 
 
 
 
 
 
 
 
 
 
 
 
 
 the equations from the 
 
 *1856 
 
 5-2301 
 
 0,0 
 
 39 8l '7 
 
 o 
 
 135-20 
 
 4"' 
 
 1-95 
 
 2-14 
 
 1-66 
 
 0- 4 I 
 
 following tables, gives 
 
 1857 
 
 47159 
 
 - 5 
 
 H-S 
 
 o 
 
 101-80 
 
 4'3 
 
 0-79 
 
 2'6g 
 
 2-25 
 
 I -O2 
 
 superior conjunction 
 
 1858 
 
 5-2014 
 
 0,0 
 
 379-9 
 
 o 
 
 68-40 
 
 4-6 
 
 6-68 
 
 3-24 
 
 2-84 
 
 1-62 
 
 as required for Eclipses 
 
 1859 
 
 5-6871 
 
 + 0,5 
 
 745'4 
 
 o 
 
 35-00 
 
 4-8 
 
 5-52 
 
 3-80 
 
 3-43 
 
 2'22 
 
 and Occultations. 'Co 
 
 *1860 
 
 6-1731 
 
 0,8 
 
 I I II'O 
 
 + -I 
 
 i -60 
 
 5' 
 
 4'35 
 
 4-35 
 
 4-02 
 
 2-8 3 
 
 find inferior conjunc- 
 
 
 
 
 
 
 
 
 
 
 
 
 tion for Shadows and 
 
 1861 
 
 5-6591 
 
 + ',4 
 
 1476-7 
 
 + -I 
 
 367-09 
 
 5'3 
 
 3-I9 
 
 4-90 
 
 4-61 
 
 3^3 
 
 Transits, add (or 
 
 1862 
 
 6-1454 
 
 0,0 
 
 1842-4 
 
 o 
 
 333^9 
 
 5'5 
 
 2-03 
 
 5-46 
 
 5-20 
 
 4^3 
 
 subtract) one half 
 
 1863 
 
 6-6311 
 
 - i,4 
 
 2207-9 
 
 - -I 
 
 300-29 
 
 57 
 
 0-87 
 
 6-01 
 
 5-79 
 
 4-64 
 
 the synodic period, 
 
 *1864 
 
 7-1164 
 
 2,7 
 
 2573-I 
 
 '2 
 
 266-89 
 
 5'9 
 
 676 
 
 6-56 
 
 6-38 
 
 5-24 
 
 3 d "5832, to the entries 
 
 1865 
 
 6 - 6on 
 
 2,2 
 
 2938-0 
 
 - 'I 
 
 233-50 
 
 6-2 
 
 5-59 
 
 7-12 
 
 6-97 
 
 5^4 
 
 in each of the columns 
 
 
 
 
 
 
 
 
 
 
 
 
 2, 4, 6-1 1. 
 
 1866 
 
 7-0861 
 
 - 4, 1 
 
 3303-0 
 
 - '2 
 
 200-09 
 
 6-4 
 
 4'43 
 
 0-51 
 
 0-40 
 
 6>5 
 
 
 1867 
 
 0-4039 
 
 - i,4 
 
 3660-4 
 
 - 'I 
 
 159-53 
 
 364-7 
 
 3-15 
 
 i -06 
 
 0-98 
 
 7^3 
 
 
 *1868 
 
 0-8892 
 
 0,0 
 
 4025-7 
 
 'O 
 
 126*14 
 
 364-9 
 
 1-99 
 
 1-61 
 
 i-57 
 
 0-49 
 
 
 1869 
 
 0*3749 
 
 + '.9 
 
 58-6 
 
 + 'I 
 
 92-74 
 
 365-2 
 
 0-83 
 
 2-17 
 
 2-16 
 
 1-09 
 
 
 187O 
 
 0-8614 
 
 3,o 
 
 424-5 
 
 + -2 
 
 59'34 
 
 o-i 
 
 6-72 
 
 272 
 
 275 
 
 1-70 
 
 
 1871 
 
 1-3482 
 
 + 3,6 
 
 790-6 
 
 + -2 
 
 25-94 
 
 0-3 
 
 5-55 
 
 3-27 
 
 3-34 
 
 2-30 
 
 
 *1872 
 
 1-8352 
 
 2,7 
 
 1156-9 
 
 + -2 
 
 39 I- 43 
 
 0-6 
 
 4'39 
 
 3-83 
 
 3'93 
 
 2-90 
 
 
 1873 
 
 1-3220 
 
 + ',4 
 
 1523-0 
 
 + 'I 
 
 358-03 
 
 0-8 
 
 3-23 
 
 4-38 
 
 4-52 
 
 3-5i 
 
 
 1874 
 
 1-8083 
 
 - 0,3 
 
 1888-8 
 
 o 
 
 324-63 
 
 i-o 
 
 2-07 
 
 4'93 
 
 5-11 
 
 4-11 
 
 
 1875 
 
 2-2939 
 
 2 ,7 
 
 2254-2 
 
 - '2 
 
 291-23 
 
 i'3 
 
 0-90 
 
 5'49 
 
 5-70 
 
 471 
 
 
 *1876 
 
 27787 
 
 - 3,3 
 
 2619-1 
 
 - -2 
 
 257-83 
 
 i'5 
 
 679 
 
 6-04 
 
 6-29 
 
 5-32 
 
 
 1877 
 
 2-2632 
 
 *,5 
 
 29 8 3'9 
 
 "1 
 
 224-44 
 
 17 
 
 5-63 
 
 6-59 
 
 6'88 
 
 5-92 
 
 
 1878 
 
 2-7479 
 
 *,7 
 
 3348-6 
 
 - -2 
 
 191-04 
 
 1-9 
 
 4-47 
 
 7-15 
 
 0-32 
 
 6-52 
 
 
 1879 
 
 3-2326 
 
 - 0,5 
 
 37I3-5 
 
 o 
 
 157-64 
 
 2'2 
 
 3-30 
 
 0-54 
 
 0-91 
 
 7-12 
 
 
 *188O 
 
 378* 
 
 + i,4 
 
 4078-9 
 
 + "I 
 
 124-24 
 
 2-4 
 
 2-14 
 
 no 
 
 1-50 
 
 0-58 
 
 
 1881 
 
 3-2044 
 
 + 2,7 
 
 I 12-1 
 
 + -2 
 
 90-84 
 
 2-6 
 
 0-98 
 
 1-65 
 
 2-09 
 
 I'll 
 
 
 1882 
 
 3-6912 
 
 *,7 
 
 478-2 
 
 + '2 
 
 57-45 
 
 2-8 
 
 6-87 
 
 2-20 
 
 2-68 
 
 1-78 
 
 
 1883 
 
 4''779 
 
 1,6 
 
 8 44-3 
 
 + 'I 
 
 24-05 
 
 3'I 
 
 5-71 
 
 276 
 
 3-27 
 
 2-39 
 
 
 *1884 
 
 4-6643 
 
 + 0,5 
 
 I2IO-2 
 
 o 
 
 389-53 
 
 3'3 
 
 4'54 
 
 3-31 
 
 3-86 
 
 2'99 
 
 
 1885 
 
 4-1502 
 
 - 0,8 
 
 1575-8 
 
 - 'I 
 
 356-13 
 
 3'5 
 
 3-38 
 
 3-86 
 
 4'45 
 
 3-59 
 
 
 1886 
 
 4-6356 
 
 - i,9 
 
 I94I-O 
 
 __ 
 
 322-74 
 
 3'7 
 
 2'22 
 
 4>2 
 
 5-04 
 
 4-20 
 
 
 1887 
 
 5-1207 
 
 1,6 
 
 2306-1 
 
 - 'I 
 
 289-34 
 
 4" 
 
 I - 06 
 
 4-97 
 
 5-63 
 
 4-80 
 
 
 *1888 
 
 5-6058 
 
 ',4 
 
 2671-2 
 
 - 'I 
 
 255-94 
 
 4-2 
 
 6'94 
 
 5-52 
 
 6-22 
 
 5-4 
 
 
 1889 
 
 5-0911 
 
 - ,5 
 
 3036-4 
 
 o 
 
 222-54 
 
 4'4 
 
 578 
 
 6-08 
 
 6-81 
 
 6'oi 
 
 
 189O 
 
 5-5766 
 
 + i,4 
 
 3 4 OI-8 
 
 + -I 
 
 189-14 
 
 4-6 
 
 4-62 
 
 6-63 
 
 0-24 
 
 6-61 
 
 
 1891 
 
 6-0629 
 
 + i,9 
 
 3767-6 
 
 + -I 
 
 15575 
 
 4'9 
 
 3^6 
 
 O-03 
 
 0-83 
 
 0-06 
 
 
 *1892 
 
 6-5493 
 
 1,6 
 
 4I33-4 
 
 + -I 
 
 122-35 
 
 5" 1 
 
 2-29 
 
 0-58 
 
 1-42 
 
 0-66 
 
 
 1893 
 
 6-0357 
 
 ',9 
 
 166-7 
 
 + -I 
 
 88-95 
 
 5'3 
 
 1-13 
 
 1-14 
 
 2-OI 
 
 1-27 
 
 
 1894 
 
 6-5221 
 
 + 0,8 
 
 532-6 
 
 + -I 
 
 55'55 
 
 5'5 
 
 7-02 
 
 ,-6 9 
 
 2-6O 
 
 1-87 
 
 
 1895 
 
 7-0082 
 
 - 0,5 
 
 898-3 
 
 o 
 
 22-15 
 
 5-8 
 
 5'86 
 
 2-24 
 
 3-I9 
 
 2-47 
 
 
 *1896 
 
 0-3273 
 
 - 0,8 
 
 1256-5 
 
 - -I 
 
 380-47 
 
 364-1 
 
 4-58 
 
 2 7 8 
 
 377 
 
 3-07 
 
 
 1897 
 
 6-9792 
 
 ',9 
 
 1629-0 
 
 - -I 
 
 354-23 
 
 6-2 
 
 3-54 
 
 3-35 
 
 4-37 
 
 3'68 
 
 
 1898 
 
 0-2978 
 
 i, 
 
 1986-9 
 
 - -I 
 
 313-68 
 
 364-5 
 
 2-25 
 
 3^9 
 
 4^5 
 
 4-27 
 
 
 1899 
 
 0-7832 
 
 - I,' 
 
 2352-1 
 
 - -1 
 
 280-28 
 
 364-8 
 
 1-09 
 
 4-44 
 
 5-54 
 
 4-88 
 
 
 1900 
 
 1-2685 
 
 + o,5 
 
 2717-4 
 
 o 
 
 246-88 
 
 365-0 
 
 6-98 
 
 5-00 
 
 6-13 
 
 5-48 
 
 
 Period 
 
 7-1664 
 
 ... 
 
 4332-6 
 
 ... 
 
 398-88 
 
 365-3 
 
 7^5 
 
 7-16 
 
 7-15 
 
 7-15 
 
 
 .38 
 
I continued 
 
 SATELLITE III 
 
 Approximate Tables of Conjunction 
 
 Epochs for Approximate Conjunction 
 
 I 
 
 z 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 10 
 
 ii 
 
 
 Year 
 
 Conjunc- 
 tion 
 
 Variation 
 for ioo d 
 
 a 
 
 Variation 
 for ioo d 
 
 ft 
 
 7 
 
 a 
 
 6 
 
 I 
 
 1 
 
 
 d 
 
 
 d 
 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 
 1900 
 
 1-2685 
 
 + 0.5 
 
 2717-4 
 
 o 
 
 246-88 
 
 365^ 
 
 6-98 
 
 5-00 
 
 6-13 
 
 5-48 
 
 The constant -o d- i3OO 
 
 
 
 
 
 
 
 
 
 
 
 
 has been applied to 
 
 1901 17545 
 
 ',4 
 
 3083-0 
 
 + -i 
 
 213-48 
 
 o-o 
 
 5-82 
 
 5'55 
 
 6-72 
 
 6-08 
 
 each entry in column 
 
 1902 
 
 2-2407 
 
 + 0,8 
 
 344 8< 7 
 
 + -i 
 
 I80-08 
 
 0-2 
 
 4-66 
 
 6-1 1 
 
 0-16 
 
 6-69 
 
 2, and -o d -i2 to each 
 
 1903 
 
 27268 
 
 0,0 
 
 3814-4 
 
 o 
 
 146^69 
 
 6-4 
 
 3'49 
 
 6-66 
 
 075 
 
 OM4 
 
 en try in columns 6-1 1 . 
 
 *1904 
 
 3-2125 
 
 - 0,5 
 
 4'79'9 
 
 o 
 
 113-29 
 
 0-6 
 
 2-33 
 
 0-06 
 
 1-34 
 
 0-74 
 
 
 1905 
 
 2-6981 
 
 0,8 
 
 212-7 
 
 -I 
 
 79-89 
 
 0-9 
 
 I-I7 
 
 0-61 
 
 1-93 
 
 1-34 
 
 Column 2 corrected by 
 
 
 
 
 
 
 
 
 
 
 
 
 the equations of the 
 
 19O6 
 
 3-'835 
 
 - 0,8 
 
 578-0 
 
 - -I 
 
 46-49 
 
 i-i 
 
 o-o i 
 
 1-16 
 
 2-52 
 
 1-95 
 
 following tables, gives 
 
 1907 
 
 3-6690 
 
 - 0,5 
 
 943'3 
 
 o 
 
 I3-09 
 
 i-3 
 
 5-89 
 
 172 
 
 3-1 1 
 
 2-55 
 
 superior conjunction as 
 
 *1908 
 
 4-I445 
 
 0,0 
 
 1308-6 
 
 o 
 
 378-58 
 
 1-6 
 
 4'73 
 
 2-27 
 
 370 
 
 3-I5 
 
 required for Eclipses 
 
 1909 
 
 3-6403 
 
 0,0 
 
 1674-1 
 
 o 
 
 345-I8 
 
 1-8 
 
 3-57 
 
 2-82 
 
 4-29 
 
 376 
 
 and Occultations. To 
 
 1910 
 
 4-1260 
 
 + i,i 
 
 2039-6 
 
 + -I 
 
 31178 
 
 2'0 
 
 2-41 
 
 3-38 
 
 4-88 
 
 4-36 
 
 find inferior conjunc- 
 
 
 
 
 
 
 
 
 
 
 
 
 tion for Shadows and 
 
 1911 
 
 4-6122 
 
 + 0,3 
 
 2405-3 
 
 o 
 
 278-38 
 
 2'2 
 
 1-24 
 
 3-93 
 
 5-47 
 
 4^6 
 
 Transits, add (or 
 
 *1912 
 
 5-0980 
 
 + 0,5 
 
 2770-9 
 
 o 
 
 244-99 
 
 2'5 
 
 0-08 
 
 4-48 
 
 6-06 
 
 5-57 
 
 subtract) one half 
 
 1913 
 
 4-5840 
 
 0,0 
 
 3136-5 
 
 o 
 
 ZII'59 
 
 27 
 
 5'97 
 
 5-04 
 
 6-65 
 
 6-I 7 
 
 the synodic period, 
 
 1914 
 
 5-0697 
 
 - 0,8 
 
 3502-0 
 
 - -I 
 
 178-19 
 
 2'9 
 
 4-8 1 
 
 S'59 
 
 0-08 
 
 6-77 
 
 3 d '5832, to the entries 
 
 1915 
 
 5-555I 
 
 1,1 
 
 3867-3 
 
 - -I 
 
 I44-79 
 
 3'I 
 
 3-65 
 
 6-14 
 
 0-67 
 
 O-22 
 
 in each of the columns 
 
 
 
 
 
 
 
 
 
 
 
 
 2, 4, 6-1 1. 
 
 *1916 
 
 6-0405 
 
 i,4 
 
 4232-5 
 
 - -I 
 
 IH'39 
 
 3 '4 
 
 2-48 
 
 6-70 
 
 1-26 
 
 0-83 
 
 
 1917 
 
 5-5257 
 
 0,0 
 
 265-1 
 
 o 
 
 78-00 
 
 3-6 
 
 1-32 
 
 o-io 
 
 1-85 
 
 I'43 
 
 
 1918 
 
 6 - oi 15 
 
 + o,5 
 
 630-6 
 
 o 
 
 44-60 
 
 3-8 
 
 0-16 
 
 0-65 
 
 2-44 
 
 2-03 
 
 
 1919 
 
 6-4974 
 
 0,8 
 
 996-2 
 
 + -I 
 
 11-20 
 
 4-0 
 
 6-05 
 
 I-2O 
 
 3-03 
 
 2-64 
 
 
 -1920 
 
 6-9835 
 
 i,4 
 
 1361-9 
 
 + -I 
 
 376-68 
 
 4'3 
 
 4-89 
 
 i-75 
 
 3-62 
 
 3-24 
 
 
 1921 
 
 6-4697 
 
 + i,9 
 
 17277 
 
 + -I 
 
 343-29 
 
 4'5 
 
 372 
 
 2-31 
 
 4-21 
 
 3-85 
 
 
 1922 
 
 6-9562 
 
 - i,9 
 
 2093-6 
 
 - -I 
 
 309-88 
 
 47 
 
 2-56 
 
 2-86 
 
 4-80 
 
 4'45 
 
 
 1923 
 
 0-2748 
 
 o,3 
 
 2451-5 
 
 o 
 
 269-32 
 
 363-0 
 
 1-28 
 
 3-40 
 
 5-38 
 
 5-04 
 
 
 *1924 
 
 0-7605 
 
 3,3 
 
 2816-9 
 
 - '2 
 
 235-93 
 
 363-3 
 
 0-12 
 
 3-96 
 
 5-97 
 
 5^4 
 
 
 1925 
 
 0-2450 
 
 3,6 
 
 3181-6 
 
 '2 
 
 202-53 
 
 363-5 
 
 6-01 
 
 4-5i 
 
 6-56 
 
 6-2 5 
 
 
 1926 
 
 07295 
 
 - 3,3 
 
 3546-3 
 
 - '2 
 
 169-13 
 
 3637 
 
 4-84 
 
 5-06 
 
 7-14 
 
 6-85 
 
 
 1927 
 
 1-2140 
 
 - i,4 
 
 3911-1 
 
 - -I 
 
 135-73 
 
 363-9 
 
 3-68 
 
 5-62 
 
 0-58 
 
 0-30 
 
 
 -1928 
 
 1-6993 
 
 + 0,5 
 
 4276-3 
 
 o 
 
 102-33 
 
 364-2 
 
 2-52 
 
 6-17 
 
 1-17 
 
 0-90 
 
 
 1929 
 
 1-1852 
 
 2,7 
 
 309-3 
 
 + -2 
 
 68-93 
 
 364-4 
 
 1-36 
 
 673 
 
 176 
 
 I'SI 
 
 
 1930 
 
 1-6720 
 
 3,0 
 
 675-4 
 
 + 'I 
 
 35-54 
 
 364-6 
 
 O'2O 
 
 O'I2 
 
 2-35 
 
 2-II 
 
 
 1931 
 
 2-1588 
 
 + 3,3 
 
 1041-6 
 
 + -2 
 
 2-14 
 
 364-8 
 
 6-08 
 
 0-68 
 
 2-94 
 
 2 7 I 
 
 
 *1932 
 
 2-6458 
 
 2,7 
 
 H077 
 
 + '2 
 
 367-62 
 
 365-1 
 
 4-92 
 
 1-23 
 
 3'53 
 
 3-32 
 
 
 1933 
 
 2-1325 
 
 + 0,8 
 
 773'8 
 
 + 'I 
 
 334-23 
 
 o-o 
 
 376 
 
 178 
 
 4-12 
 
 3-92 
 
 
 1934 
 
 2-6186 
 
 - 0,8 
 
 2i39 - 5 
 
 - 'I 
 
 300-83 
 
 0-3 
 
 2-60 
 
 2-34 
 
 471 
 
 4-52 
 
 
 1935 
 
 3-104 
 
 2,7 
 
 2504-8 - -2 
 
 267-43 
 
 0-5 
 
 I'43 
 
 2-89 
 
 5-30 
 
 5-I3 
 
 
 *1936 
 
 3-5888 
 
 - 3,6 
 
 28697 
 
 - '2 
 
 234-03 
 
 0-7 
 
 0-27 
 
 3'44 
 
 i 8 ? 
 
 573 
 
 
 1937 
 
 3-0732 
 
 3,6 
 
 3234-4 
 
 - '2 
 
 200-63 
 
 0-9 
 
 6-l6 
 
 4-00 
 
 6-48 
 
 6-34 
 
 
 1938 
 
 3-5577 
 
 ',9 
 
 3599-1 
 
 - -I 
 
 167-24 
 
 I '2 
 
 5-OO 
 
 4-55 
 
 7-07 
 
 6-94 
 
 
 1939 
 
 4-0427 
 
 - 0,5 
 
 3964'I 
 
 o 
 
 133-84 
 
 I'4 
 
 3-83 
 
 5-10 
 
 0-51 
 
 o-39 
 
 
 *1940 
 
 4-5^83 
 
 + i,9 
 
 4329-5 
 
 + 'I 
 
 100-44 
 
 1-6 
 
 2-6 7 
 
 5-66 
 
 no 
 
 0-99 
 
 
 1941 
 
 4-0147 
 
 + 2,7 
 
 362-8 
 
 + -2 
 
 67-04 
 
 1-8 
 
 1-51 
 
 6-21 
 
 1-69 
 
 1-59 
 
 
 1942 
 
 4-5014 
 
 2,2 
 
 728-9 
 
 + 'I 
 
 33-64 
 
 2-1 
 
 0-35 
 
 676 
 
 2-28 
 
 2'2O 
 
 
 1943 
 
 4-9880 
 
 + 1,4 
 
 1094-9 
 
 + 'I 
 
 0-24 
 
 2'3 
 
 6-24 
 
 0-16 
 
 2-87 
 
 2'8o 
 
 
 *1944 
 
 5'474 2 
 
 0,0 
 
 14607 
 
 o 
 
 36573 
 
 *'5 
 
 5-07 
 
 0-72 
 
 3-46 
 
 3-4I 
 
 
 1945 
 
 4-9600 
 
 - 0,8 
 
 I826-2 
 
 - 'I 
 
 332-33 
 
 2-8 
 
 3- 9 I 
 
 1-27 
 
 4-05 
 
 4-01 
 
 
 1946 
 
 5^454 
 
 - 1,6 
 
 2191-4 
 
 - '2 
 
 298-93 
 
 3-0 
 
 2-75 
 
 1-82 
 
 4-64 
 
 4-6 1 
 
 
 1947 
 
 5-9306 
 
 1,6 
 
 2556-5 
 
 - -I 
 
 265-54 
 
 3-2 
 
 1-59 
 
 2-38 
 
 5-23 
 
 5-22 
 
 
 *1948 
 
 6-4157 
 
 - 0,8 
 
 292I-7 
 
 - 'I 
 
 232-14 
 
 3-4 
 
 0-42 
 
 2'93 
 
 5-82 
 
 5-82 
 
 
 1949 
 
 5-9012 
 
 0,0 
 
 3287-0 
 
 o 
 
 198-74 
 
 37 
 
 6-31 
 
 3-48 
 
 6-41 
 
 6-42 
 
 
 195O 
 
 6-3869 
 
 + ',4 
 
 3652-5 
 
 + 'I 
 
 165-34 
 
 3'9 
 
 5-'5 
 
 4-04 
 
 7-00 
 
 7-03 
 
 
 Period 
 
 7-1664 
 
 ... 
 
 4331-6 
 
 ... 
 
 398-88 
 
 365-3 
 
 7-05 
 
 7-16 
 
 7-i5 
 
 7-I5 
 
 
 '39 
 
I continued 
 
 SATELLITE III 
 
 Approximate Tables of Conjunction 
 
 Epochs for Approximate Conjunction 
 
 I 
 
 z 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 10 
 
 II 
 
 
 Year 
 
 Conjunc- 
 tion 
 
 Variation 
 for ioo d 
 
 a 
 
 Variation 
 for ioo d 
 
 ft 
 
 y 
 
 s 
 
 e 
 
 I 
 
 >7 
 
 
 
 d 
 
 
 d 
 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 
 1950 
 
 6-3869 
 
 + >,4 
 
 3652-5 
 
 + -i 
 
 I65-34 
 
 3'9 
 
 5-I5 
 
 4-04 
 
 7'OO 
 
 7-03 
 
 The constant -o d 'i3oo 
 
 
 
 
 
 
 
 
 
 
 
 
 has been applied to 
 
 1951 
 
 6-873* 
 
 ',4 
 
 4018-3 
 
 + -i 
 
 I3I-94 
 
 4"> 
 
 3-99 
 
 4-59 
 
 0-44 
 
 0-48 
 
 each entry in column 
 
 *1952 
 
 0-1930 
 
 1,6 
 
 44'3 
 
 + -i 
 
 9 I-38 
 
 362-4 
 
 2-71 
 
 5-i3 
 
 I -01 
 
 1-07 
 
 2, and -o d -i2 to 
 
 1953 
 
 6-8458 
 
 I, 
 
 4 J 7-3 
 
 + 'I 
 
 65-15 
 
 4-6 
 
 1-66 
 
 57 
 
 1-62 
 
 1-68 
 
 each entry in columns 
 
 1954 
 
 0-1655 
 
 + o,3 
 
 775-9 
 
 o 
 
 24-58 
 
 362-9 
 
 0-38 
 
 6-24 
 
 2-19 
 
 2-27 
 
 6-u. 
 
 1955 
 
 0*6514 
 
 - 0,3 
 
 1141-5 
 
 o 
 
 390-07 
 
 363-1 
 
 6-27 
 
 679 
 
 2-78 
 
 2-88 
 
 
 
 
 
 
 
 
 
 
 
 
 
 Column 2 corrected by 
 
 *1956 
 
 IT370 
 
 - ',! 
 
 1506-8 
 
 - -I 
 
 35 6 - 6 7 
 
 363-3 
 
 5-11 
 
 0-19 
 
 3-37 
 
 3-48 
 
 the equations of the 
 
 1957 
 
 0*6224 
 
 - 1,6 
 
 1872-1 
 
 - -I 
 
 323-27 
 
 363-6 
 
 3-95 
 
 0-74 
 
 3-96 
 
 4-08 
 
 following tables, gives 
 
 1958 
 
 I-I075 
 
 - i, i 
 
 2237-2 
 
 - -I 
 
 289-87 
 
 363-8 
 
 2-79 
 
 1-30 
 
 4-55 
 
 4-69 
 
 superior conjunction as 
 
 1959 
 
 1-5929 
 
 0,0 
 
 2602-5 
 
 o 
 
 256-48 
 
 364-0 
 
 1-62 
 
 1-85 
 
 5-14 
 
 5-29 
 
 required for Eclipses 
 
 *1960 
 
 2-0786 
 
 + 1,1 
 
 2968-0 
 
 + -I 
 
 223-08 
 
 364-2 
 
 0-46 
 
 2-40 
 
 573 
 
 5-90 
 
 and Occultations. To 
 
 
 
 
 
 
 
 
 
 
 
 
 find inferior conjunc- 
 
 1961 
 
 1-5648 
 
 + 0,8 
 
 33337 
 
 + -I 
 
 189-68 
 
 364-5 
 
 6-35 
 
 2-96 
 
 6-32 
 
 6-50 
 
 tion for Shadows and 
 
 1962 
 
 2-0508 
 
 + 0,5 
 
 3699'4 
 
 o 
 
 156-28 
 
 364-7 
 
 5-19 
 
 3"5> 
 
 6-91 
 
 7-10 
 
 Transits, add (or 
 
 1963 
 
 2-5368 
 
 - ,5 
 
 4064-9 
 
 o 
 
 122-88 
 
 364-9 
 
 4-02 
 
 4-06 
 
 0-35 
 
 0-55 
 
 subtract) one half 
 
 *1964 
 
 3-0223 
 
 0,8 
 
 97'8 
 
 - -I 
 
 89-48 
 
 365-2 
 
 2-86 
 
 4-62 
 
 0-94 
 
 1-15 
 
 the synodic period, 
 
 1965 
 
 2-5078 
 
 - I,' 
 
 463-1 
 
 - -I 
 
 56-09 
 
 O'l 
 
 1-70 
 
 5-'7 
 
 J'53 
 
 1-76 
 
 3 dl 5832, to the entries 
 in each of the columns 
 
 1966 
 
 2-9931 
 
 0,0 
 
 828-4 
 
 o 
 
 22-69 
 
 0-3 
 
 0-54 
 
 5-72 
 
 2'12 
 
 2-36 
 
 2, 4, 6-1 1. 
 
 1967 
 
 3-4789 
 
 - 1,4 
 
 1193-9 
 
 - -I 
 
 388-17 
 
 0-6 
 
 6-42 
 
 6-28 
 
 2-71 
 
 2-97 
 
 
 *1968 
 
 3-9641 
 
 + 0,5 
 
 1559-1 
 
 o 
 
 354-78 
 
 0-8 
 
 5-26 
 
 6-83 
 
 3-30 
 
 3-57 
 
 
 1969 
 
 3-4500 
 
 0,8 
 
 1924-7 
 
 + -I 
 
 321-38 
 
 o 
 
 4-10 
 
 0-23 
 
 3-89 
 
 4-I7 
 
 
 197O 
 
 3-9361 
 
 1,1 
 
 2290-3 
 
 + -I 
 
 287-98 
 
 '2 
 
 2-94 
 
 0-78 
 
 4-48 
 
 478 
 
 
 1971 
 
 4-4222 
 
 + 0,3 
 
 2656-0 
 
 o 
 
 254-58 
 
 '5 
 
 1-77 
 
 i"33 
 
 5-07 
 
 5-38 
 
 
 *1972 
 
 4-9081 
 
 + 0,5 
 
 3021-6 
 
 o 
 
 221-18 
 
 7 
 
 0-61 
 
 1-89 
 
 5-66 
 
 5-98 
 
 
 1973 
 
 4"394o 
 
 - 0,8 
 
 3387-2 
 
 'I 
 
 187-79 
 
 9 
 
 6-50 
 
 2-44 
 
 6-2 5 
 
 6-59 
 
 
 1974 
 
 5-8795 
 
 ',4 
 
 3753'S 
 
 - -I 
 
 '54-39 
 
 2'I 
 
 5-34 
 
 3-00 
 
 6-84 
 
 0-04 
 
 
 1975 
 
 5'3647 
 
 - 1,1 
 
 4117-7 
 
 - -I 
 
 120-99 
 
 2'4 
 
 4-18 
 
 3-55 
 
 0-27 
 
 0-64 
 
 
 *1976 
 
 5-8501 
 
 + i,9 
 
 150-4 
 
 + -I 
 
 87-59 
 
 2-6 
 
 3"oi 
 
 4-10 
 
 0-86 
 
 1-24 
 
 
 1977 
 
 5-3365 
 
 - 3,o 
 
 516-2 
 
 - '2 
 
 54-'9 
 
 2-8 
 
 1-85 
 
 4-66 
 
 J'45 
 
 1-85 
 
 
 1978 
 
 5-8212 
 
 + 0,3 
 
 88ro 
 
 o 
 
 20-79 
 
 3-i 
 
 0-69 
 
 5-21 
 
 2-04 
 
 2-45 
 
 
 1979 
 
 6-3070 
 
 *>9 
 
 1246-6 
 
 + -I 
 
 386-28 
 
 3'3 
 
 6-58 
 
 576 
 
 2-63 
 
 3-05 
 
 
 *1980 
 
 67935 
 
 1,6 
 
 1612-5 
 
 + 'I 
 
 352-88 
 
 3'5 
 
 S'4 1 
 
 6-32 
 
 3-22 
 
 3-66 
 
 
 1981 
 
 6-2798 
 
 + i,4 
 
 1978-4 
 
 + 'I 
 
 3I9-4 8 
 
 37 
 
 4-25 
 
 6-87 
 
 3-8i 
 
 4-26 
 
 
 1982 
 
 6-7661 
 
 - 0,4 
 
 2244-2 
 
 o 
 
 286-09 
 
 4' 
 
 3-09 
 
 0-27 
 
 4-40 
 
 4-86 
 
 
 1983 
 
 0-0853 
 
 - 2,7 
 
 2702-4 
 
 - '2 
 
 245-52 
 
 362-3 
 
 1-81 
 
 0-8 1 
 
 4-98 
 
 5-46 
 
 
 *1984 
 
 0-5701 
 
 - 3,o 
 
 3067-3 
 
 + 'I 
 
 212-12 
 
 362-5 
 
 0-65 
 
 1-36 
 
 5-57 
 
 6-06 
 
 
 1985 
 
 0-0563 
 
 - 4,' 
 
 3432-1 
 
 - '3 
 
 I78-72 
 
 3627 
 
 6'54 
 
 1-92 
 
 6-16 
 
 6-66 
 
 
 1986 
 
 '5389 
 
 - 2,7 
 
 3796-6 
 
 - '2 
 
 H5-33 
 
 363-0 
 
 5-38 
 
 2-47 
 
 675 
 
 O'l I 
 
 
 1987 
 
 1-0236 
 
 - 0,8 
 
 4161-4 
 
 - -I 
 
 IH'93 
 
 363-2 
 
 4-21 
 
 3-02 
 
 0-19 
 
 0-72 
 
 
 *1988 
 
 1-5091 
 
 + 0,8 
 
 194-2 
 
 + 'I 
 
 78'53 
 
 363-4 
 
 3-05 
 
 3-58 
 
 0-78 
 
 1-32 
 
 
 1989 
 
 0-9952 
 
 *,5 
 
 559'9 
 
 + 'I 
 
 45 -I 3 
 
 363-6 
 
 1-89 
 
 4"i3 
 
 i'37 
 
 1-92 
 
 
 1990 
 
 1-4818 
 
 3,6 
 
 925-9 
 
 + -2 
 
 1173 
 
 363-9 
 
 o-73 
 
 4-68 
 
 1-96 
 
 2-53 
 
 
 1991 
 
 1-9688 
 
 + 3,o 
 
 1292*2 
 
 + -2 
 
 377-22 
 
 364-1 
 
 6-61 
 
 5-24 
 
 2-55 
 
 3-13 
 
 
 *1992 
 
 2 '4557 
 
 *,5 
 
 1658-4 
 
 + 'I 
 
 343-82 
 
 364-3 
 
 5'45 
 
 5-79 
 
 3-14 
 
 3-73 
 
 
 1993 
 
 1-9423 
 
 + 0,3 
 
 2024-3 
 
 o 
 
 310-42 
 
 364-5 
 
 4-29 
 
 6'34 
 
 373 
 
 4-34 
 
 
 1994 
 
 2-4282 
 
 - ',4 
 
 2389-9 
 
 - 'I 
 
 277-03 
 
 364-8 
 
 3-i3 
 
 6-90 
 
 4'3* 
 
 4-94 
 
 
 1995 
 
 2-9134 
 
 3,o 
 
 2755-1 
 
 - '2 
 
 243-63 
 
 365-0 
 
 1-96 
 
 0*29 
 
 4-91 
 
 5-54 
 
 
 *1996 
 
 3-3980 
 
 - 3,6 
 
 3II9-9 
 
 - '2 
 
 210-23 
 
 O'O 
 
 0-80 
 
 0-85 
 
 5-50 
 
 6-15 
 
 
 1997 
 
 2-8825 
 
 3,3 
 
 3484-6 
 
 - "2 
 
 176-83 
 
 O'2 
 
 6-69 
 
 1-40 
 
 6-09 
 
 6-75 
 
 
 1998 
 
 3-3670 
 
 - ',9 
 
 3849H 
 
 - 'I 
 
 143H3 
 
 0-4 
 
 5'53 
 
 1-95 
 
 6-68 
 
 O'2O 
 
 
 1999 
 
 3-8521 
 
 0,0 
 
 4214-5 
 
 o 
 
 1 10-03 
 
 0-6 
 
 4-36 
 
 2-51 
 
 0'12 
 
 0-80 
 
 
 *2OOO 
 
 4'3378 
 
 
 247-3 
 
 ... 
 
 76-64 
 
 0-9 
 
 3-20 
 
 3-06 
 
 0-70 
 
 I-4I 
 
 
 Period 
 
 7-1664 
 
 ... 
 
 4332-6 
 
 ... 
 
 398-88 
 
 365-3 
 
 7-05 
 
 7-16 
 
 7-15 
 
 7-15 
 
 
 140 
 
II 
 
 SATELLITE III 
 
 Approximate Tables of Conjunction 
 
 Motions of the Arguments 
 
 I 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 Syn. Eev. 
 
 Date 
 
 , &7 
 
 a 
 
 
 
 C 
 
 1 
 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 1 
 
 January 7-1664 
 
 7-17 
 
 O-12 
 
 o-oi 
 
 o-oi 
 
 o-oi 
 
 2 
 
 H"3328 
 
 H'33 
 
 0-23 
 
 O'O2 
 
 O'O2 
 
 O'02 
 
 3 
 
 2 1 '4992 
 
 21-50 
 
 0-35 
 
 0"O3 
 
 0-O3 
 
 0-04 
 
 4 
 
 28-6655 
 
 28-67 
 
 0-46 
 
 0-04 
 
 0-05 
 
 0-O5 
 
 5 
 
 February 4 '83 19 
 
 35-83 
 
 0-58 
 
 0-05 
 
 0-06 
 
 0-06 
 
 6 
 
 11-9983 
 
 43-00 
 
 0-69 
 
 O'07 
 
 0-07 
 
 0-O7 
 
 7 
 
 19-1647 
 
 50-l6 
 
 0-81 
 
 0'08 
 
 0-08 
 
 0-08 
 
 8 
 
 26-3311 
 
 57-33 
 
 0-92 
 
 0-09 
 
 0*09 
 
 0-09 
 
 9 
 
 March 5 '497 5 
 
 64-50 
 
 04 
 
 O'lO 
 
 O'lO 
 
 O-I I 
 
 10 
 
 12-6639 
 
 71-66 
 
 15 
 
 o-ii 
 
 O-12 
 
 O'I2 
 
 11 
 
 19-8303 
 
 78-83 
 
 27 
 
 O'I2 
 
 0-13 
 
 0-13 
 
 12 
 
 26-9966 
 
 86-00 
 
 39 
 
 0-13 
 
 0-14 
 
 0-14 
 
 13 
 
 April 3-1630 
 
 93-16 
 
 5 
 
 0-14 
 
 0-15 
 
 0-I 5 
 
 14 
 
 10-3294 
 
 100-33 
 
 62 
 
 O-I5 
 
 o'i6 
 
 0-I 7 
 
 15 
 
 17-4958 
 
 107-50 
 
 73 
 
 0-16 
 
 0-17 
 
 0-18 
 
 16 
 
 24-6622 
 
 1 14-66 
 
 85 
 
 0-17 
 
 0-19 
 
 0-19 
 
 17 
 
 May 1-8286 
 
 121-83 
 
 96 
 
 0-18 
 
 0'2O 
 
 O'2O 
 
 18 
 
 8-9950 
 
 129-00 
 
 2-08 
 
 O'20 
 
 O-2I 
 
 O'2I 
 
 19 
 
 16-1614 
 
 136-16 
 
 2-19 
 
 O-2I 
 
 O'22 
 
 O-22 
 
 20 
 
 23-3277 
 
 143-33 
 
 2-31 
 
 O-22 
 
 0-23 
 
 0-24 
 
 21 
 
 30-4941 
 
 1 50-49 
 
 2-42 
 
 0-23 
 
 0-24 
 
 0-25 
 
 22 
 
 June 6-6605 
 
 157-66 
 
 2-54 
 
 0-24 
 
 0-25 
 
 O-26 
 
 23 
 
 13-8269 
 
 164-83 
 
 2-66 
 
 0-25 
 
 0-27 
 
 0-27 
 
 24 
 
 20-9933 
 
 171-99 
 
 277 
 
 O-26 
 
 0-28 
 
 0-28 
 
 25 
 
 28-1597 
 
 179-16 
 
 2-89 
 
 0-27 
 
 0-29 
 
 0-3O 
 
 26 
 
 July 5'3*6i 
 
 186-33 
 
 3-00 
 
 0-28 
 
 0-30 
 
 0-3I 
 
 27 
 
 12-4925 
 
 193-49 
 
 3-12 
 
 0-29 
 
 0-31 
 
 0-32 
 
 28 
 
 19-6588 
 
 200-66 
 
 3-23 
 
 O-30 
 
 0-32 
 
 0-33 
 
 29 
 
 26-8252 
 
 207-83 
 
 3-35 
 
 0-32 
 
 0-34 
 
 0-34 
 
 SO 
 
 August 2 -99 1 6 
 
 214-99 
 
 3-46 
 
 0-33 
 
 0-35 
 
 0-36 
 
 31 
 
 10-1580 
 
 222-16 
 
 3-58 
 
 o-34 
 
 0-36 
 
 0-37 
 
 32 
 
 17-3244 
 
 229-32 
 
 3-69 
 
 o-35 
 
 0*37 
 
 0-38 
 
 33 
 
 24-4908 
 
 236-49 
 
 3-81 
 
 0-36 
 
 0-38 
 
 0-39 
 
 34 
 
 31-6572 
 
 243-66 
 
 3-93 
 
 o-37 
 
 0-39 
 
 0-40 
 
 35 
 
 September 7-8236 
 
 250-82 
 
 4-04 
 
 0-38 
 
 0-40 
 
 0-41 
 
 36 
 
 14-9899 
 
 2 57'99 
 
 4-16 
 
 0-39 
 
 0-42 
 
 o-43 
 
 37 
 
 12-1563 
 
 265-16 
 
 4-27 
 
 0-40 
 
 o-43 
 
 0-44 
 
 38 
 
 29-3227 
 
 272-32 
 
 4-39 
 
 0-41 
 
 0-44 
 
 0-45 
 
 39 
 
 October 6-4891 
 
 279'49 
 
 4-50 
 
 0-42 
 
 0-45 
 
 0-46 
 
 40 
 
 13-6555 
 
 286-66 
 
 4-62 
 
 o-43 
 
 0-46 
 
 0-47 
 
 41 
 
 20-8219 
 
 293-82 
 
 473 
 
 0-45 
 
 0-47 
 
 0-49 
 
 42 
 
 27-9883 
 
 300-99 
 
 4-85 
 
 0-46 
 
 0-49 
 
 0-50 
 
 43 
 
 November 4-1547 
 
 308-15 
 
 4-96 
 
 0-47 
 
 0-50 
 
 0-51 
 
 44 
 
 1 1-3210 
 
 315-32 
 
 5-08 
 
 0-48 
 
 0-51 
 
 0-52 
 
 45 
 
 18-4874 
 
 322-49 
 
 5-20 
 
 0-49 
 
 0-52 
 
 '53 
 
 46 
 
 25-6538 
 
 3*9-65 
 
 5-3i 
 
 0-50 
 
 o-53 
 
 0-54 
 
 47 
 
 December 2-8202 
 
 336-82 
 
 5'43 
 
 0-51 
 
 0-54 
 
 0-56 
 
 48 
 
 9-9866 
 
 343*99 
 
 5-54 
 
 0-52 
 
 0-56 
 
 0-57 
 
 49 
 
 17-1530 
 
 35I-I5 
 
 5-66 
 
 o-53 
 
 0-57 
 
 0-58 
 
 50 
 
 24-3194 
 
 358-32 
 
 577 
 
 0-54 
 
 0-58 
 
 0-59 
 
 51 
 
 31-4857 
 
 365-49 
 
 5-89 
 
 0-55 
 
 0-59 
 
 0-60 
 
 In Leap Year, diminish the date in Column 2 by i a after Feb. 28. 
 141 
 
Ill 
 
 SATELLITE III 
 
 Approximate Tables of Conjunction 
 
 Equation of Conjunction Argument a EC., Oc., Sh., Tr. 
 
 I 
 
 2 
 
 3 
 
 I 
 
 2 
 
 3 
 
 I 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 a 
 
 Equation 
 
 A 
 IQd 
 
 a 
 
 Equation 
 
 A 
 IQd 
 
 a 
 
 Equation 
 
 A 
 IO d 
 
 a 
 
 Equation 
 
 A 
 IOd 
 
 a 
 
 Equation 
 
 A 
 IOd 
 
 d 
 
 d 
 
 
 d 
 
 d 
 
 
 d 
 
 d 
 
 
 d 
 
 d 
 
 
 d 
 
 d 
 
 
 o 
 
 0-1200 
 
 + 17,0 
 
 1OOO 
 
 0-2301 
 
 + 1,0 
 
 2OOO 
 
 0-1447 
 
 -I 4) 8 
 
 3OOO 
 
 0-0193 
 
 - 6,5 
 
 4000 
 
 0-0662 
 
 + 14,8 
 
 20 
 
 '234 
 
 17,0 
 
 102O 
 
 2302 
 
 + 0,5 
 
 2O2O 
 
 1418 
 
 14,5 
 
 3020 
 
 180 
 
 6,0 
 
 402O 
 
 692 
 
 '5,o 
 
 4O 
 
 1268 
 
 16,8 
 
 1O4O 
 
 2303 
 
 0,0 
 
 2O4O 
 
 1389 
 
 I 4 ,8 
 
 3O4O 
 
 169 
 
 5,5 
 
 404O 
 
 722 
 
 '5,3 
 
 60 
 
 1301 
 
 16,8 
 
 1060 
 
 2302 
 
 - 0,5 
 
 2060 
 
 1359 
 
 '5,o 
 
 306O 
 
 158 
 
 5,3 
 
 4060 
 
 753 
 
 '5,5 
 
 8O 
 
 1335 
 
 17,0 
 
 1O8O 
 
 2301 
 
 0,8 
 
 2080 
 
 1329 
 
 i5,o 
 
 3080 
 
 148 
 
 4,8 
 
 4O8O 
 
 784 
 
 'SiS 
 
 10O 
 
 1369 
 
 16,8 
 
 1100 
 
 2299 
 
 ',5 
 
 21 OO 
 
 1299 
 
 15,0 
 
 31 OO 
 
 '39 
 
 4,3 
 
 4100 
 
 815 
 
 15,8 
 
 12O 
 
 0-1402 
 
 + 16,5 
 
 11 20 
 
 0-2295 
 
 - 2,0 
 
 2120 
 
 0-1269 
 
 -15,0 
 
 31 2O 
 
 0-0131 
 
 - 3,8 
 
 41 2O 
 
 0-0847 
 
 + 1 6,0 
 
 140 
 
 '435 
 
 '6,5 
 
 1140 
 
 2291 
 
 2,3 
 
 2140 
 
 1239 
 
 '5, 
 
 31 4O 
 
 124 
 
 3,3 
 
 41 4O 
 
 879 
 
 1 6,0 
 
 16O 
 
 1468 
 
 '6,5 
 
 116O 
 
 2286 
 
 2,5 
 
 21 6O 
 
 1209 
 
 i5,o 
 
 3160 
 
 118 
 
 3,o 
 
 41 6O 
 
 911 
 
 '6,3 
 
 ISO 
 
 1501 
 
 1 6,3 
 
 118O 
 
 2281 
 
 3,0 
 
 2180 
 
 1179 
 
 15,0 
 
 3180 
 
 I 12 
 
 2,8 
 
 41 8O 
 
 944 
 
 6,5 
 
 2OO 
 
 1533 
 
 1 6,0 
 
 1200 
 
 2274 
 
 3,8 
 
 2200 
 
 1149 
 
 15,0 
 
 32OO 
 
 107 
 
 2,3 
 
 42OO 
 
 977 
 
 16,5 
 
 220 
 
 0-1565 
 
 + 1 6,0 
 
 122O 
 
 0-2266 
 
 - 4,o 
 
 2220 
 
 O-IIlg 
 
 -14,8 
 
 322O 
 
 0-OI03 
 
 - 1,8 
 
 422O 
 
 O'lOIO 
 
 + 16,8 
 
 24O 
 
 1597 
 
 15,8 
 
 1240 
 
 2258 
 
 4,5 
 
 224O 
 
 1090 
 
 14,8 
 
 3240 
 
 IOO 
 
 i,3 
 
 424O 
 
 1044 
 
 16,8 
 
 26O 
 
 1628 
 
 '5,5 
 
 126O 
 
 2248 
 
 5,o 
 
 226O 
 
 IO6O 
 
 15,0 
 
 326O 
 
 98 
 
 ,5 
 
 4260 
 
 1077 
 
 16,8 
 
 280 
 
 1659 
 
 '5,3 
 
 128O 
 
 2238 
 
 5,3 
 
 2280 
 
 1030 
 
 '5,o 
 
 3280 
 
 98 
 
 - 0,3 
 
 428O 
 
 II II 
 
 17,0 
 
 3OO 
 
 1689 
 
 '5,0 
 
 1300 
 
 2227 
 
 5,8 
 
 23OO 
 
 1000 
 
 14,8 
 
 3300 
 
 97 
 
 0,0 
 
 43OO 
 
 1145 
 
 17,0 
 
 320 
 
 0-1719 
 
 + 15,0 
 
 132O 
 
 0-2215 
 
 - 6,0 
 
 232O 
 
 0-0971 
 
 -'4,5 
 
 332O 
 
 0-0098 
 
 + 0,8 
 
 432O 
 
 0-1179 
 
 + 17,0 
 
 340 
 
 1749 
 
 14,8 
 
 134O 
 
 2203 
 
 6,5 
 
 2340 
 
 942 
 
 '4,5 
 
 3340 
 
 IOO 
 
 ',3 
 
 434O 
 
 1213 
 
 16,8 
 
 360 
 
 1778 
 
 H.3 
 
 1360 
 
 2189 
 
 7,o 
 
 236O 
 
 9'3 
 
 H,5 
 
 336O 
 
 103 
 
 1,8 
 
 436O 
 
 1246 
 
 16,8 
 
 38O 
 
 1806 
 
 14,0 
 
 1380 
 
 2175 
 
 7,3 
 
 238O 
 
 884 
 
 '4,5 
 
 3380 
 
 107 
 
 2,0 
 
 438O 
 
 1280 
 
 17,0 
 
 400 
 
 i834 
 
 13,8 
 
 1400 
 
 2160 
 
 7,8 
 
 2400 
 
 855 
 
 '4>S 
 
 3400 
 
 III 
 
 2,5 
 
 4400 
 
 1314 
 
 1 6,8 
 
 42O 
 
 0-1861 
 
 + 13,3 
 
 142O 
 
 0-2144 
 
 - 8,0 
 
 242O 
 
 0-0826 
 
 -H,3 
 
 342O 
 
 0-0117 
 
 + 3,3 
 
 442O 
 
 0-1347 
 
 + 16,8 
 
 440 
 
 1887 
 
 '3,o 
 
 1440 
 
 2128 
 
 8,3 
 
 244O 
 
 798 
 
 14,0 
 
 344O 
 
 124 
 
 3,5 
 
 444O 
 
 1381 
 
 16,8 
 
 460 
 
 1913 
 
 12,8 
 
 146O 
 
 till 
 
 8,8 
 
 2460 
 
 770 
 
 13,8 
 
 3460 
 
 131 
 
 4,o 
 
 446O 
 
 1414 
 
 16,5 
 
 48O 
 
 1938 
 
 iz,S 
 
 148O 
 
 2093 
 
 9, 
 
 248O 
 
 743 
 
 '3,8 
 
 3480 
 
 140 
 
 4,5 
 
 448O 
 
 '447 
 
 ,6,5 
 
 5OO 
 
 1963 
 
 12,3 
 
 1500 
 
 2075 
 
 9,5 
 
 2500 
 
 7i5 
 
 13,8 
 
 35OO 
 
 149 
 
 4,8 
 
 4500 
 
 1480 
 
 16,5 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 520 
 
 0-1987 
 
 + n,8 
 
 152O 
 
 0-2055 
 
 - 1 0,0 
 
 252O 
 
 0-0688 
 
 -'3,3 
 
 3520 
 
 0-0159 
 
 + 5,5 
 
 452O 
 
 0-1513 
 
 + 16,3 
 
 540 
 
 2OIO 
 
 ",3 
 
 154O 
 
 2035 
 
 1 0,0 
 
 2540 
 
 662 
 
 >3,o 
 
 3540 
 
 171 
 
 6,0 
 
 4540 
 
 1545 
 
 1 6,0 
 
 56O 
 
 2032 
 
 10,8 
 
 156O 
 
 2015 
 
 '0,3 
 
 2560 
 
 636 
 
 '3,0 
 
 3560 
 
 183 
 
 6,3 
 
 456O 
 
 '577 
 
 15,8 
 
 58O 
 
 2053 
 
 I0 ,5 
 
 158O 
 
 1994 
 
 10,8 
 
 258O 
 
 610 
 
 13,0 
 
 3580 
 
 196 
 
 6,8 
 
 4580 
 
 1608 
 
 '5,5 
 
 60O 
 
 2074 
 
 10,3 
 
 160O 
 
 1972 
 
 11,0 
 
 2600 
 
 584 
 
 12,8 
 
 36OO 
 
 2IO 
 
 7,3 
 
 4600 
 
 1639 
 
 '5,5 
 
 62O 
 
 O'2O94 
 
 + 9,8 
 
 162O 
 
 0-1950 
 
 -11,0 
 
 262O 
 
 0-0559 
 
 -12,3 
 
 3620 
 
 O-O225 
 
 + 7,8 
 
 462O 
 
 0-1670 
 
 + 15,3 
 
 64O 
 
 2113 
 
 9,3 
 
 1640 
 
 1928 
 
 n,3 
 
 2640 
 
 535 
 
 12,0 
 
 3640 
 
 241 
 
 8,3 
 
 4640 
 
 1700 
 
 '5, 
 
 66O 
 
 2131 
 
 8,8 
 
 166O 
 
 1905 
 
 11,8 
 
 266O 
 
 5" 
 
 12,0 
 
 3660 
 
 2 5 8 
 
 8,5 
 
 468O 
 
 1730 
 
 14,8 
 
 63O 
 
 2148 
 
 8,3 
 
 168O 
 
 1881 
 
 12,3 
 
 2680 
 
 487 
 
 11,8 
 
 368O 
 
 275 
 
 9, 
 
 4680 
 
 '759 
 
 H,5 
 
 TOO 
 
 2164 
 
 8,0 
 
 1700 
 
 1856 
 
 12,3 
 
 27OO 
 
 464 
 
 ", 5 
 
 3700 
 
 294 
 
 9,5 
 
 4700 
 
 1788 
 
 H,3 
 
 72O 
 
 0-2180 
 
 + 7,8 
 
 172O 
 
 0-1832 
 
 -12,3 
 
 272O 
 
 0*0441 
 
 -u,3 
 
 3720 
 
 0-03I3 
 
 + 9,8 
 
 472O 
 
 0-1816 
 
 + 14,0 
 
 74O 
 
 2195 
 
 7,3 
 
 1740 
 
 1807 
 
 12,8 
 
 2740 
 
 419 
 
 10,8 
 
 3740 
 
 333 
 
 10,3 
 
 4740 
 
 1844 
 
 '3,8 
 
 760 
 
 2209 
 
 6,8 
 
 176O 
 
 1781 
 
 13,0 
 
 2760 
 
 398 
 
 10,5 
 
 376O 
 
 354 
 
 10,8 
 
 4760 
 
 1871 
 
 '3,3 
 
 78O 
 
 2222 
 
 6,0 
 
 178O 
 
 1755 
 
 13,0 
 
 2780 
 
 377 
 
 10,3 
 
 378O 
 
 376 
 
 n,3 
 
 478O 
 
 1897 
 
 13,0 
 
 8OO 
 
 "33 
 
 5,5 
 
 1800 
 
 1729 
 
 13,3 
 
 28OO 
 
 357 
 
 9,8 
 
 3800 
 
 399 
 
 i', 5 
 
 4800 
 
 1923 
 
 12,8 
 
 820 
 
 0*2244 
 
 + 5,3 
 
 182O 
 
 0-1702 
 
 -13,5 
 
 282O 
 
 0-0338 
 
 - 9,5 
 
 3820 
 
 0-0422 
 
 + 11,8 
 
 4820 
 
 0-1948 
 
 + 12,3 
 
 84O 
 
 2254 
 
 S,o 
 
 1840 
 
 1675 
 
 13,8 
 
 2840 
 
 319 
 
 9,5 
 
 3840 
 
 446 
 
 12,3 
 
 484O 
 
 1972 
 
 11,8 
 
 860 
 
 2264 
 
 4,5 
 
 I860 
 
 1647 
 
 14,0 
 
 286O 
 
 300 
 
 9, 
 
 386O 
 
 47i 
 
 12,5 
 
 486O 
 
 '995 
 
 ", 5 
 
 880 
 
 2272 
 
 3,8 
 
 1880 
 
 1619 
 
 14,0 
 
 288O 
 
 283 
 
 8,5 
 
 388O 
 
 496 
 
 12,8 
 
 488O 
 
 2018 
 
 n,3 
 
 90O 
 
 2279 
 
 3,3 
 
 1900 
 
 1591 
 
 14,0 
 
 2900 
 
 266 
 
 8,3 
 
 3900 
 
 522 
 
 13,3 
 
 4900 
 
 2040 
 
 10,8 
 
 920 
 
 0-2285 
 
 + 2,8 
 
 1920 
 
 0-1563 
 
 -14,3 
 
 292O 
 
 0-0250 
 
 - 8,0 
 
 392O 
 
 0-0549 
 
 + 13,5 
 
 492O 
 
 0-2061 
 
 + 10,3 
 
 94O 
 
 2290 
 
 2,3 
 
 1940 
 
 1534 
 
 14,3 
 
 294O 
 
 234 
 
 7,5 
 
 3940 
 
 576 
 
 13,8 
 
 494O 
 
 2081 
 
 IO,O 
 
 960 
 
 2294 
 
 2,0 
 
 I960 
 
 1506 
 
 14,3 
 
 2960 
 
 220 
 
 7,o 
 
 396O 
 
 604 
 
 14,3 
 
 4960 
 
 2101 
 
 9,8 
 
 980 
 
 2298 
 
 1,8 
 
 198O 
 
 H77 
 
 14,8 
 
 298O 
 
 2O6 
 
 6,8 
 
 3980 
 
 633 
 
 '4,5 
 
 498O 
 
 2120 
 
 9,8 
 
 1OOO 
 
 O-23OI 
 
 + 1,0 
 
 200O 
 
 0-1447 
 
 -14,8 
 
 3000 
 
 O-OI93 
 
 - 6,5 
 
 4000 
 
 0-0662 
 
 + 14,8 
 
 5000 
 
 O-2I4O 
 
 + 10,0 
 
 Applied Constant: +o d 'izoo. 
 142 
 
IV 
 
 SATELLITE III 
 
 Approximate Tables of Conjunction 
 
 Equation of Geocentric Conjunction Argument 
 
 Oc., Tr. 
 
 I 
 
 2 
 
 3 
 
 1 
 
 2 
 
 3 
 
 1 
 
 2 
 
 3 
 
 . 
 
 i 
 
 3 
 
 (8 
 
 Equation 
 
 A 
 id 
 
 fl 
 
 Equation 
 
 A 
 I* 
 
 ft 
 
 Equation 
 
 A 
 Id 
 
 
 
 Equation 
 
 A 
 Id 
 
 d 
 
 d 
 
 
 d 
 
 d 
 
 
 d 
 
 d 
 
 
 d 
 
 d 
 
 
 o 
 
 0-0400 
 
 - 43 
 
 100 
 
 -0-2564 
 
 + 6 
 
 2OO 
 
 -0-0384 
 
 + 2 9 
 
 300 
 
 + 0-1771 
 
 + 6 
 
 2 
 
 486 
 
 43 
 
 102 
 
 2551 
 
 7 
 
 2O2 
 
 326 
 
 29 
 
 302 
 
 1782 
 
 5 
 
 4 
 
 571 
 
 42 
 
 1O4 
 
 2536 
 
 8 
 
 2O4 
 
 268 
 
 29 
 
 304 
 
 1790 
 
 4 
 
 6 
 
 656 
 
 42 
 
 1O6 
 
 2518 
 
 9 
 
 206 
 
 2IO 
 
 29 
 
 306 
 
 1797 
 
 3 
 
 8 
 
 74 
 
 42 
 
 1O8 
 
 2499 
 
 10 
 
 208 
 
 '53 
 
 2 9 
 
 308 
 
 1801 
 
 2 
 
 10 
 
 824 
 
 42 
 
 110 
 
 2479 
 
 1 1 
 
 21 
 
 95 
 
 29 
 
 31O 
 
 1803 
 
 + I 
 
 12 
 
 - 0-0907 
 
 - 42 
 
 112 
 
 -0-2456 
 
 + 12 
 
 212 
 
 -0-0037 
 
 + 2 9 
 
 312 
 
 + 0-1803 
 
 - I 
 
 14 
 
 990 
 
 4' 
 
 114 
 
 2432 
 
 '3 
 
 214 
 
 + 20 
 
 2 9 
 
 314 
 
 1801 
 
 2 
 
 16 
 
 1071 
 
 40 
 
 116 
 
 2406 
 
 H 
 
 216 
 
 77 
 
 28 
 
 316 
 
 1797 
 
 3 
 
 18 
 
 1151 
 
 40 
 
 118 
 
 2378 
 
 H 
 
 218 
 
 '34 
 
 2 9 
 
 318 
 
 1791 
 
 4 
 
 20 
 
 1230 
 
 39 
 
 12O 
 
 2349 
 
 '5 
 
 22O 
 
 191 
 
 28 
 
 32O 
 
 1782 
 
 5 
 
 22 
 
 -0-1307 
 
 - 38 
 
 122 
 
 -0-2319 
 
 + 16 
 
 222 
 
 + 0-0246 
 
 + 28 
 
 322 
 
 + 0-1771 
 
 - 6 
 
 24 
 
 1383 
 
 38 
 
 124 
 
 2287 
 
 17 
 
 224 
 
 302 
 
 28 
 
 324 
 
 J757 
 
 7 
 
 26 
 
 1458 
 
 37 
 
 126 
 
 2253 
 
 17 
 
 226 
 
 358 
 
 28 
 
 326 
 
 1742 
 
 8 
 
 28 
 
 '53 
 
 36 
 
 128 
 
 2218 
 
 18 
 
 228 
 
 4>3 
 
 27 
 
 328 
 
 1724 
 
 IO 
 
 SO 
 
 1600 
 
 35 
 
 13O 
 
 2182 
 
 '9 
 
 23O 
 
 467 
 
 27 
 
 330 
 
 1702 
 
 ii 
 
 32 
 
 -0-1668 
 
 - 34 
 
 132 
 
 0-2144 
 
 + '9 
 
 232 
 
 + 0-0521 
 
 + 27 
 
 332 
 
 + 0-1679 
 
 - 12 
 
 34 
 
 1734 
 
 33 
 
 134 
 
 2105 
 
 20 
 
 234 
 
 575 
 
 27 
 
 334 
 
 1653 
 
 H 
 
 36 
 
 1799 
 
 32 
 
 136 
 
 2065 
 
 20 
 
 236 
 
 628 
 
 27 
 
 336 
 
 1625 
 
 15 
 
 38 
 
 1860 
 
 3 
 
 138 
 
 2O25 
 
 21 
 
 238 
 
 681 
 
 26 
 
 338 
 
 1594 
 
 16 
 
 40 
 
 1920 
 
 29 
 
 14O 
 
 1982 
 
 22 
 
 240 
 
 733 
 
 26 
 
 340 
 
 1561 
 
 17 
 
 42 
 
 -0-1977 
 
 - 28 
 
 142 
 
 -0-1938 
 
 + 22 
 
 242 
 
 + 0-0784 
 
 + 25 
 
 342 
 
 + 0-1525 
 
 19 
 
 44 
 
 2032 
 
 27 
 
 144 
 
 1894 
 
 23 
 
 244 
 
 834 
 
 25 
 
 344 
 
 1487 
 
 20 
 
 46 
 
 2084 
 
 26 
 
 146 
 
 1848 
 
 23 
 
 246 
 
 883 
 
 25 
 
 346 
 
 '445 
 
 21 
 
 48 
 
 2134 
 
 25 
 
 148 
 
 1802 
 
 24 
 
 248 
 
 932 
 
 24 
 
 348 
 
 1401 
 
 22 
 
 50 
 
 2182 
 
 23 
 
 150 
 
 1754 
 
 24 
 
 250 
 
 980 
 
 24 
 
 350 
 
 1356 
 
 24 
 
 52 
 
 -0-2226 
 
 - 22 
 
 152 
 
 -0-1706 
 
 + 2 4 
 
 252 
 
 + 0-1027 
 
 + 23 
 
 352 
 
 + 0-1307 
 
 - 25 
 
 54 
 
 2269 
 
 21 
 
 154 
 
 1657 
 
 25 
 
 254 
 
 1073 
 
 23 
 
 354 
 
 1256 
 
 26 
 
 56 
 
 2308 
 
 J 9 
 
 156 
 
 1607 
 
 2 5 
 
 256 
 
 1118 
 
 23 
 
 356 
 
 I2O2 
 
 28 
 
 58 
 
 2346 
 
 18 
 
 158 
 
 1556 
 
 26 
 
 258 
 
 1163 
 
 22 
 
 358 
 
 "45 
 
 29 
 
 60 
 
 2380 
 
 17 
 
 160 
 
 1504 
 
 26 
 
 260 
 
 1206 
 
 21 
 
 36O 
 
 1087 
 
 3 
 
 62 
 
 - 0-2412 
 
 - '5 
 
 162 
 
 -0-1452 
 
 + 26 
 
 262 
 
 + 0-1248 
 
 + 21 
 
 362 
 
 + 0-1026 
 
 ' 3> 
 
 64 
 
 2441 
 
 4 
 
 164 
 
 1399 
 
 27 
 
 264 
 
 1288 
 
 2O 
 
 364 
 
 963 
 
 32 
 
 66 
 
 2468 
 
 '3 
 
 166 
 
 >34 6 
 
 27 
 
 266 
 
 1327 
 
 !9 
 
 366 
 
 898 
 
 33 
 
 68 
 
 2492 
 
 12 
 
 168 
 
 1292 
 
 27 
 
 268 
 
 1365 
 
 '9 
 
 368 
 
 831 
 
 34 
 
 7O 
 
 2514 
 
 II 
 
 17O 
 
 1237 
 
 28 
 
 27O 
 
 1402 
 
 18 
 
 37O 
 
 761 
 
 35 
 
 72 
 
 -0-2534 
 
 - 9 
 
 172 
 
 -0-1182 
 
 + 28 
 
 272 
 
 + 0-1438 
 
 + 18 
 
 372 
 
 + 0-0690 
 
 - 36 
 
 74 
 
 2551 
 
 8 
 
 174 
 
 1127 
 
 28 
 
 274 
 
 1472 
 
 17 
 
 374 
 
 616 
 
 37 
 
 76 
 
 2565 
 
 7 
 
 176 
 
 1071 
 
 28 
 
 276 
 
 1505 
 
 16 
 
 376 
 
 540 
 
 38 
 
 78 
 
 2577 
 
 6 
 
 178 
 
 1015 
 
 28 
 
 278 
 
 1536 
 
 J5 
 
 378 
 
 464 
 
 39 
 
 8O 
 
 2587 
 
 5 
 
 18O 
 
 959 
 
 28 
 
 280 
 
 1566 
 
 '5 
 
 38O 
 
 386 
 
 40 
 
 82 
 
 -0-2595 
 
 - 3 
 
 182 
 
 - 0*0902 
 
 + 2 9 
 
 282 
 
 + 0-1594 
 
 + 14 
 
 382 
 
 + 0-0306 
 
 - 40 
 
 84 
 
 2600 
 
 2 
 
 184 
 
 845 
 
 29 
 
 284 
 
 1621 
 
 '3 
 
 384 
 
 226 
 
 4 1 
 
 86 
 
 2603 
 
 I 
 
 186 
 
 788 
 
 29 
 
 286 
 
 1646 
 
 12 
 
 386 
 
 144 
 
 4 1 
 
 88 
 
 2603 
 
 
 
 188 
 
 73i 
 
 29 
 
 288 
 
 1669 
 
 II 
 
 388 
 
 + 61 
 
 4 2 
 
 9O 
 
 2603 
 
 + I 
 
 190 
 
 673 
 
 29 
 
 29O 
 
 1690 
 
 IO 
 
 390 
 
 23 
 
 4 2 
 
 92 
 
 -0-2599 
 
 + 3 
 
 192 
 
 - 0-0615 
 
 + 2 9 
 
 292 
 
 + 0-1710 
 
 + 10 
 
 392 
 
 - 0-0107 
 
 - 42 
 
 94 
 
 2593 
 
 4 
 
 194 
 
 557 
 
 2 9 
 
 294 
 
 1728 
 
 9 
 
 394 
 
 192 
 
 43 
 
 96 
 
 2585 
 
 5 
 
 196 
 
 500 
 
 2 9 
 
 296 
 
 '744 
 
 8 
 
 396 
 
 277 
 
 43 
 
 98 
 
 *575 
 
 5 
 
 198 
 
 442 
 
 2 9 
 
 298 
 
 1759 
 
 7 
 
 398 
 
 363 
 
 +3 
 
 10O 
 
 - 0-2564 
 
 + 6 
 
 200 
 
 -0-0384 
 
 + 2 9 
 
 300 
 
 + 0-1771 
 
 + 6 
 
 400 
 
 - 0-0448 
 
 - 43 
 
 Applied Constant : - O^CMOO. The Equation of Table IV, corrected by those of Tables V, VI, gives the Annual Parallax, p, which must be applied for Occultations 
 
 and Transits to the entries of the Columns 2, 8-u of Table I, and which also serves as argument of Table LXV for computing the effect of Jupiter's phase. 
 
 '43 
 
V 
 
 SATELLITE III 
 
 Approximate Tables of Conjunction 
 
 Equation of Geocentric Conjunction Arguments a, /3 
 
 Oc., Tr. 
 
 \/3 
 
 a \ 
 
 O d 1O d 2O d 
 
 30 d 40 d 5O d 
 
 60 d 7O d 8O d 
 
 9O d 1OO d 110 d 
 
 1 2O d 1 3O d 1 4O d 
 
 1 50 d 1 6O d 1 7O d 
 
 180 190 1 200 
 
 d 
 
 
 
 
 
 
 
 
 o 
 
 300 275 252 
 
 231 213 199 
 
 188 183 182 
 
 185 191 199 
 
 2IO 222 235 
 
 247 259 270 
 
 281 291 301 
 
 100 
 2OO 
 300 
 4OO 
 50O 
 
 136 311 286 
 
 37* 347 32 
 406 380 354 
 
 4-37 4'5 3 8 7 
 466 445 418 
 
 262 240 221 
 
 294 268 245 
 326 298 270 
 358 327 2 9 7 
 388 356 323 
 
 206 194 187 
 225 208 196 
 245 224 206 
 267 241 219 
 290 260 233 
 
 185 186 190 
 188 183 183 
 193 184 178 
 200 186 176 
 210 191 177 
 
 197 206 216 
 186 191 198 
 
 177 179 183 
 171 169 170 
 
 168 162 160 
 
 226 237 247 
 206 216 224 
 189 196 203 
 174 179 184 
 161 164 168 
 
 257 266 276 
 233 242 252 
 211 22O 228 
 igl 199 2O7 
 174 1 80 187 
 
 600 
 700 
 800 
 900 
 1OOO 
 
 492 473 447 
 513 496 472 
 530 516 494 
 542 531 512 
 549 54 2 5*5 
 
 417 384 348 
 
 443 49 373 
 466 433 396 
 486 453 417 
 501 471 436 
 
 313 279 248 
 335 299 265 
 357 319 282 
 378 338 300 
 397 357 3'8 
 
 221 198 l8o 
 
 234 208 186 
 
 249 219 194 
 
 264 232 204 
 280 246 216 
 
 167 158 153 
 169 157 149 
 174 159 148 
 181 164 151 
 191 171 156 
 
 151 152 155 
 145 143 144 
 141 138 137 
 141 136 133 
 H5 '37 133 
 
 159 163 169 
 146 ISO 155 
 137 140 143 
 
 '3* 133 135 
 
 I3O 129 130 
 
 1100 
 1200 
 13OO 
 
 1400 
 1500 
 
 55' 547 534 
 547 547 538 
 539 54 2 536 
 5 2 5 53' 53 
 507 517 519 
 
 53 485 45' 
 520 495 464 
 522 501 473 
 520 502 478 
 513 500 480 
 
 4'4 374 335 
 428 390 352 
 
 44 44 367 
 449 416 381 
 
 455 4 2 5 394 
 
 297 262 230 
 314 278 246 
 
 330 295 263 
 
 346 312 280 
 361 329 298 
 
 204 182 165 
 218 195 176 
 
 234 2IO 190 
 251 227 206 
 
 270 245 224 
 
 151 142 136 
 161 150 142 
 174 161 152 
 189 175 165 
 207 192 182 
 
 132 130 129 
 
 '37 133 '3' 
 146 140 137 
 157 151 146 
 172 165 159 
 
 1600 
 1700 
 1800 
 19OO 
 2000 
 
 484 497 504 
 
 457 473 483 
 427 446 460 
 394 415 432 
 360 383 402 
 
 502 493 478 
 486 482 472 
 466 468 463 
 
 444 45 45 
 418 428 434 
 
 457 43* 404 
 454 43<5 4' 2 
 452 437 418 
 
 445 435 4 22 
 435 431 422 
 
 374 345 3i6 
 386 360 333 
 
 397 374 35 
 405 386 366 
 
 411 396 380 
 
 289 265 244 
 308 286 265 
 328 306 287 
 346 327 309 
 
 3 6 4 347 33' 
 
 226 210 199 
 248 232 22O 
 270 254 242 
 293 278 266 
 316 301 290 
 
 189 181 174 
 
 2IO 2OO 192 
 231 222 213 
 
 2 5S 2 44 2 35 
 278 268 258 
 
 21 OO 
 2200 
 23OO 
 24OO 
 25OO 
 
 324 348 370 
 288 312 337 
 252 276 302 
 217 241 268 
 183 207 234 
 
 389 404 415 
 
 359 378 394 
 327 350 371 
 295 322 346 
 263 292 321 
 
 422 423 421 
 406 413 417 
 388 401 410 
 368 387 401 
 347 370 390 
 
 414 405 393 
 415 411 404 
 414 415 413 
 411 417 419 
 405 416 422 
 
 380 366 352 
 
 394 384 37 2 
 407 400 391 
 417 413 407 
 425 425 422 
 
 338 3 2 5 3'4 
 360 348 338 
 381 371 361 
 400 391 383 
 417 410 403 
 
 303 293 283 
 
 328 318 308 
 
 35 1 34 2 333 
 374 365 356 
 396 388 379 
 
 26OO 
 2700 
 2800 
 2900 
 
 3000 
 
 152 175 202 
 125 146 172 
 
 100 119 144 
 80 96 1 20 
 65 78 99 
 
 232 263 295 
 202 235 269 
 174 208 243 
 148 182 219 
 127 160 197 
 
 3 2 5 353 377 
 302 334 362 
 279 314 346 
 257 294 329 
 236 274 312 
 
 397 4'3 4H 
 387 407 422 
 375 399 418 
 361 389 412 
 
 346 377 403 
 
 43 434 433 
 433 44 44 2 
 433 443 449 
 4 2 9 443 45 2 
 424 440 451 
 
 431 426 421 
 442 440 436 
 451 451 449 
 457 459 459 
 459 463 4 6 5 
 
 415 408 400 
 431 426 419 
 446 441 436 
 
 457 454 45 
 465 463 460 
 
 31 OO 
 32OO 
 33OO 
 3400 
 35OO 
 
 55 64 83 
 50 56 71 
 50 53 64 
 
 55 54 62 
 65 61 65 
 
 109 140 176 
 94 124 159 
 
 85 112 144 
 
 79 I0 3 133 
 78 98 125 
 
 216 255 294 
 
 197 237 276 
 
 l8l 220 259 
 
 168 205 243 
 157 191 228 
 
 330 363 392 
 3H 349 379 
 2 97 333 365 
 281 316 349 
 264 299 332 
 
 416 434 448 
 405 425 441 
 392 414 432 
 377 411 420 
 360 385 405 
 
 458 465 467 
 
 453 4<5 2 467 
 446 456 462 
 
 435 447 455 
 421 435 444 
 
 469 469 467 
 469 471 471 
 467 469 471 
 461 465 467 
 451 456 461 
 
 3600 
 3700 
 38OO 
 39OO 
 4000 
 
 81 73 73 
 100 90 86 
 125 in 103 
 153 136 125 
 184 164 150 
 
 82 98 121 
 90 IO2 I2O 
 
 103 no 124 
 
 I2O 122 131 
 141 138 141 
 
 149 180 214 
 144 172 203 
 143 166 193 
 145 163 185 
 150 163 180 
 
 249 282 314 
 235 266 296 
 
 221 250 278 
 2IO 235 26l 
 20O 222 244 
 
 342 367 388 
 324 348 369 
 305 328 349 
 285 307 327 
 266 287 306 
 
 405 420 430 
 387 402 413 
 367 382 394 
 
 345 36i 37 2 
 322 338 350 
 
 438 445 450 
 422 430 436 
 404 413 420 
 
 383 393 4' 
 361 371 380 
 
 41 OO 
 42OO 
 4300 
 
 4400 
 4500 
 
 217 195 178 
 252 229 208 
 288 264 241 
 325 300 275 
 360 335 309 
 
 165 157 I 55 
 192 179 I 7 2 
 221 204 192 
 252 231 214 
 283 259 237 
 
 158 166 178 
 169 171 178 
 183 180 180 
 200 190 185 
 218 203 193 
 
 193 210 229 
 
 188 200 215 
 185 193 203 
 185 187 193 
 187 184 185 
 
 248 266 284 
 231 246 262 
 215 228 241 
 
 201 211 222 
 
 189 195 204 
 
 300 314 326 
 277 291 302 
 254 267 278 
 232 244 254 
 
 213 222 231 
 
 337 348 357 
 3'3 3 2 4 333 
 289 299 309 
 264 274 284 
 241 250 260 
 
 The unit in this Table equals o d 'oooi. 
 
 Applied Constant : +o d 'o3oo. 
 The Equation of this Table to be added to that of Table IV. 
 144 
 
 The entries are all positive. 
 
V continued 
 
 SATELLITE III 
 
 Approximate Tables of Conjunction 
 
 Equation of Geocentric Conjunction Arguments a, 
 
 Oc., Tr. 
 
 \8 
 a \ 
 
 200 210 220* 
 
 230 240*250 
 
 260 d 270 d 280 d 
 
 290' 300 310 
 
 320 ! 330 ! 340 > 
 
 350 ' 360 ' 370 ' 
 
 380 ' 390 ; 400 
 
 d 
 
 
 
 301 310 320 
 
 33i 342 354 
 
 367 379 39' 
 
 402 410 416 
 
 418 417 411 
 
 400 385 367 
 
 345 322 297 
 
 100 
 
 276 286 296 
 
 37 3'9 333 
 
 347 362 376 
 
 391 404 415 
 
 422 426 426 
 
 421 412 397 
 
 379 357 333 
 
 200 
 
 252 261 271 
 
 283 295 310 
 
 326 342 360 
 
 378 395 411 
 
 4 2 4 433 439 
 
 44 435 425 
 
 4" 39' 369 
 
 300 
 
 228 238 248 259 272 287 
 
 304 322 342 
 
 363 384 405 
 
 423 438 449 
 
 455 45<5 45' 
 
 440 424 403 
 
 400 
 
 207 215 224 236 249 264 
 
 282 302 324 
 
 348 372 396 
 
 4'9 439 456 
 
 467 473 473 
 
 4 6 7 454 435 
 
 500 
 
 187 195 204 
 
 214 227 242 
 
 261 281 305 
 
 33' 358 386 
 
 413 438 460 
 
 476 487 492 
 
 490 480 464 
 
 6OO 
 
 169 176 184 
 
 194 2O6 221 
 
 240 261 285 
 
 3' 3 343 374 
 
 404 433 460 
 
 480 497 507 
 
 509 503 490 
 
 TOO 
 
 155 1 60 168 
 
 177 188 202 
 
 220 242 267 
 
 295 327 360 
 
 393 426 456 
 
 483 53 5'7 
 
 523 521 512 
 
 80O 
 
 143 148 154 
 
 162 172 185 
 
 203 224 249 
 
 278 310 345 
 
 381 416 450 
 
 480 505 523 
 
 533 535 529 
 
 9OO 
 
 '35 '38 H3 
 
 150 159 171 
 
 187 207 232 
 
 260 293 329 
 
 366 404 440 
 
 474 5* 524 
 
 539 544 542 
 
 100O 
 
 130 132 135 
 
 141 148 159 
 
 174 193 216 
 
 244 276 3'* 
 
 350 389 428 
 
 464 495 520 
 
 539 548 549 
 
 1100 
 
 129 129 131 
 
 135 141 150 
 
 163 180 202 
 
 229 261 296 
 
 334 373 4'3 
 
 450 484 512 
 
 534 547 55' 
 
 12OO 
 
 131 130 131 
 
 '33 '37 '44 
 
 156 171 190 
 
 215 245 279 
 
 3'6 355 395 
 
 434 469 500 
 
 524 540 548 
 
 13OO 
 
 137 '35 '33 
 
 134 137 142 
 
 151 164 181 
 
 203 231 263 
 
 298 336 376 
 
 414 451 483 
 
 509 528 539 
 
 1400 
 
 146 143 140 
 
 139 140 143 
 
 '49 '59 '74 
 
 193 218 247 
 
 280 316 355 
 
 392 429 462 
 
 490 512 526 
 
 15OO 
 
 159 154 150 
 
 147 146 147 
 
 151 158 170 
 
 186 207 233 
 
 263 296 332 
 
 369 405 438 
 
 467 491 508 
 
 1600 
 
 174 168 163 
 
 158 155 154 
 
 155 160 168 
 
 180 198 220 
 
 246 276 309 
 
 344 378 4" 
 
 441 466 486 
 
 17OO 
 
 192 185 179 
 
 173 168 165 
 
 163 165 169 
 
 178 191 209 
 
 230 256 286 
 
 317 350 381 
 
 4" 438 459 
 
 18OO 
 
 213 205 197 
 
 190 183 178 
 
 '74 '72 '73 
 
 177 186 200 
 
 216 238 263 
 
 291 321 350 
 
 380 406 429 
 
 190O 
 
 235 226 218 
 
 209 201 194 
 
 187 182 180 
 
 180 184 192 
 
 204 220 241 
 
 265 291 318 
 
 346 373 397 
 
 2OOO 
 
 258 249 240 
 
 231 221 212 
 
 203 195 189 
 
 185 184 187 
 
 194 205 220 
 
 239 261 286 
 
 3'2 338 363 
 
 21 OO 
 
 283 273 264 
 
 253 243 231 
 
 221 2IO 2OO 
 
 192 187 184 
 
 186 191 201 
 
 215 233 254 
 
 277 302 3*7 
 
 22OO 
 
 308 298 288 
 
 277 265 253 
 
 240 226 214 
 
 202 192 184 
 
 1 80 1 80 184 
 
 192 205 222 
 
 243 266 290 
 
 23OO 
 
 333 323 3'3 
 
 301 289 275 
 
 260 245 229 
 
 214 199 187 
 
 177 171 169 
 
 172 180 193 
 
 2IO 231 254 
 
 24OO 
 
 356 347 337 
 
 325 3 !2 2 9 8 
 
 282 264 246 
 
 227 208 191 
 
 176 165 157 
 
 155 158 166 
 
 179 I 9 7 219 
 
 25OO 
 
 379 370 360 
 
 349 336 3*' 
 
 304 285 264 
 
 242 220 198 
 
 178 161 148 
 
 140 138 141 
 
 151 166 186 
 
 2600 
 
 400 392 382 
 
 372 359 343 
 
 325 305 282 
 
 258 233 207 
 
 183 161 143 
 
 129 121 1 2O 
 
 125 '37 '55 
 
 27OO 
 
 419 412 404 
 
 392 380 365 
 
 346 326 3O2 
 
 275 247 218 
 
 190 163 140 
 
 122 109 103 
 
 104 112 127 
 
 280O 
 
 436 429 422 
 
 4'* 399 385 
 
 367 346 321 
 
 293 263 231 
 
 199 169 141 
 
 118 100 89 
 
 86 90 102 
 
 29OO 
 
 45 444 43 8 
 
 429 418 404 
 
 385 3 6 5 339 
 
 311 279 245 
 
 211 177 145 
 
 118 96 80 
 
 72 73 82 
 
 3OOO 
 
 460 456 450 
 
 443 433 4 20 
 
 403 382 357 
 
 329 296 261 
 
 224 188 153 
 
 122 96 78 
 
 65 61 66 
 
 3100 
 
 467 465 460 
 
 45 6 445 433 
 
 418 398 374 
 
 345 3'2 277 
 
 239 201 163 
 
 129 100 77 
 
 6' 54 55 
 
 3200 
 
 471 469 466 
 
 462 455 444 
 
 430 412 389 
 
 361 329 293 
 
 255 216 177 
 
 140 108 82 
 
 63 5* 50 
 
 33OO 
 
 471 471 469 
 
 466 461 452 
 
 44 423 4z 
 
 376 345 310 
 
 272 233 193 
 
 '55 '2' 9' 
 
 69 55 50 
 
 3400 
 
 467 468 469 
 
 467 463 457 
 
 447 432 4'3 
 
 389 360 327 
 
 290 251 211 
 
 173 137 106 
 
 81 64 54 
 
 350O 
 
 461 463 465 
 
 465 463 458 
 
 45 43 8 4** 
 
 400 374 343 
 
 308 270 231 
 
 '93 '5 6 '*4 
 
 97 77 64 
 
 3600 
 
 45 454 457 
 
 459 459 456 
 
 45' 44' 428 
 
 410 386 358 
 
 326 290 253 
 
 215 179 146 
 
 117 94 80 
 
 3700 
 
 436 442 446 
 
 449 451 451 
 
 448 442 431 
 
 416 396 372 
 
 343 3" 275 
 
 239 204 171 
 
 141 117 99 
 
 3800 
 
 420 426 432 
 
 437 44' 443 
 
 442 439 432 
 
 421 405 384 
 
 359 33' 298 
 
 265 231 199 
 
 169 143 123 
 
 3900 
 
 401 408 41; 
 
 421 427 431 
 
 433 433 43 
 
 423 4" 395 
 
 375 350 322 
 
 292 260 229 
 
 199 173 151 
 
 40OO 
 
 380 388 396 
 
 404 411 417 
 
 422 425 425 
 
 422 415 404 
 
 388 368 344 
 
 318 289 260 
 
 231 205 181 
 
 41 OO 
 
 357 366 375 
 
 384 392 401 
 
 408 414 418 
 
 419 416 410 
 
 400 385 366 
 
 344 319 292 
 
 265 239 215 
 
 42OO 
 
 333 343 35* 
 
 362 372 382 
 
 392 400 408 
 
 413 415 414 
 
 409 400 386 
 
 369 348 325 
 
 300 274 249 
 
 43OO 
 
 309 318 328 
 
 339 350 361 
 
 373 385 39 6 
 
 405 412 416 
 
 416 413 405 
 
 393 377 357 
 
 334 310 286 
 
 440O 
 
 284 294 304 
 
 315 327 340 
 
 353 367 38' 
 
 394 406 415 
 
 421 423 421 
 
 415 403 388 
 
 368 346 322 
 
 45OO 
 
 260 269 279 
 
 29' 33 3'7 
 
 333 349 366 
 
 382 398 412 
 
 424 43' 435 
 
 434 428 417 
 
 400 380 358 
 
 The unit in this Table equals o d 'oooi. 
 
 Applied Constant : 
 
 The entries are all positive. 
 
 The Equation of this Table to be added to that of Table IV. 
 '45 
 
VI 
 
 SATELLITE III 
 
 Approximate Tables of Conjunction 
 
 Equation of Geocentric Conjunction Arguments /3, y Oc., Tr. 
 
 \8 
 
 7\ 
 
 O d 2O d 4O d 
 
 60 80 100 
 
 120' 140 ! 160 
 
 180 200 220 
 
 240 260 280 
 
 300 320 340 
 
 360 d 380 400 
 
 d 
 
 
 
 
 
 
 
 
 
 
 100 117 130 
 
 138 141 138 
 
 131 123 115 
 
 107 100 93 
 
 85 77 69 
 
 62 59 62 
 
 71 85 ioi 
 
 20 
 
 40 
 60 
 80 
 
 too 
 
 70 87 106 
 43 60 8 1 
 *3 37 59 
 
 12 22 41 
 II 15 31 
 
 123 134 140 
 104 124 138 
 8; in 132 
 68 96 121 
 55 82 109 
 
 H 1 '38 133 
 146 149 147 
 146 154 156 
 140 152 159 
 130 145 154 
 
 127 120 113 
 
 '44 '39 '33 
 156 153 148 
 161 i 60 158 
 159 161 161 
 
 105 94 82 
 124 113 97 
 141 129 113 
 153 143 127 
 158 151 138 
 
 69 57 5 
 79 60 44 
 92 68 45 
 105 79 52 
 119 93 65 
 
 5 57 7i 
 
 35 35 44 
 28 20 24 
 
 2 9 15 12 
 
 39 20 ii 
 
 12O 
 
 140 
 160 
 ISO 
 200 
 
 21 19 28 
 
 40 32 34 
 
 66 53 47 
 96 80 67 
 126 109 91 
 
 47 70 95 
 45 62 82 
 
 49 58 7i 
 60 59 63 
 75 64 60 
 
 116 132 143 
 100 116 127 
 84 97 i 08 
 71 79 88 
 60 64 69 
 
 150 154 157 
 136 141 146 
 117 123 130 
 96 103 no 
 76 82 89 
 
 '57 154 '45 
 149 150 146 
 135 140 142 
 118 125 133 
 98 108 120 
 
 129 i 08 8 i 
 
 137 121 IOO 
 
 140 133 119 
 
 139 140 136 
 
 133 143 148 
 
 55 34 2' 
 77 55 4 
 
 IO2 82 65 
 
 126 112 95 
 148 139 125 
 
 22O 
 240 
 26O 
 28O 
 3OO 
 
 154 '37 "5 
 
 175 160 138 
 187 177 157 
 189 185 168 
 181 182 172 
 
 93 74 61 
 
 112 87 67 
 
 129 102 77 
 144 116 90 
 152 128 103 
 
 54 52 54 
 54 47 44 
 
 59 47 4' 
 69 54 45 
 
 82 66 55 
 
 58 63 70 
 45 49 53 
 39 4 43 
 
 4 39 39 
 
 48 44 42 
 
 78 90 105 
 61 73 89 
 
 48 59 75 
 42 49 63 
 42 46 56 
 
 123 141 155 
 
 no 134 155 
 
 96 123 149 
 83 109 137 
 
 72 94 121 
 
 163 162 153 
 172 178 174 
 172 185 187 
 163 182 189 
 147 169 181 
 
 32O 
 340 
 36O 
 380 
 400 
 
 163 170 167 
 138 150 155 
 108 124 136 
 78 95 113 
 50 67 88 
 
 155 J 37 "7 
 151 142 128 
 142 142 136 
 127 136 140 
 109 127 139 
 
 98 82 70 
 113 100 89 
 128 119 109 
 139 134 128 
 145 146 144 
 
 62 56 52 
 80 74 68 
 101 94 87 
 122 115 108 
 140 134 128 
 
 50 49 54 
 
 6 3 59 57 
 80 72 66 
 100 90 78 
 120 108 93 
 
 64 79 i 02 
 60 69 83 
 61 61 66 
 66 57 53 
 76 59 45 
 
 126 148 163 
 
 102 121 138 
 
 77 92 109 
 55 64 78 
 38 40 50 
 
 The unit in this Table is o^oooi. 
 
 Applied Constant : +o d 'oioo. 
 
 The sign is positive. 
 
 The Equation of this Table to be added to that of Table IV. 
 
 ,46 
 
VII 
 
 SATELLITE III 
 
 Approximate Tables of Conjunction 
 
 Equations of Conjunction 
 VIII IX 
 
 X 
 
 I 
 
 2 
 
 3 
 
 Equation 
 
 d 
 
 00 
 
 d 
 O-OO2O 
 
 2 
 
 22 
 
 4 
 
 25 
 
 6 
 
 27 
 
 8 
 
 *9 
 
 10 
 
 3 1 
 
 1-2 
 
 0-0032 
 
 4 
 
 33 
 
 6 
 
 34 
 
 8 
 
 34 
 
 20 
 
 34 
 
 2-2 
 
 0-0033 
 
 4 
 
 32 
 
 6 
 
 3' 
 
 8 
 
 29 
 
 30 
 
 27 
 
 32 
 
 0-0025 
 
 4 
 
 22 
 
 6 
 
 20 
 
 8 
 
 18 
 
 4-O 
 
 '5 
 
 42 
 
 0-0013 
 
 4 
 
 1 1 
 
 6 
 
 9 
 
 8 
 
 8 
 
 5-0 
 
 7 
 
 52 
 
 o - ooo6 
 
 4 
 
 6 
 
 6 
 
 6 
 
 8 
 
 7 
 
 6-0 
 
 8 
 
 62 
 
 0-0009 
 
 4 
 
 ii 
 
 6 
 
 13 
 
 8 
 
 15 
 
 7O 
 
 18 
 
 72 
 
 0-0020 
 
 4 
 
 23 
 
 6 
 
 25 
 
 8 
 
 7 
 
 8-0 
 
 29 
 
 82 
 
 0-0031 
 
 4 
 
 32 
 
 6 
 
 33 
 
 8 
 
 34 
 
 90 
 
 34 
 
 92 
 
 0-0034 
 
 4 
 
 33 
 
 6 
 
 S 2 
 
 8 
 
 3i 
 
 100 
 
 0-0029 
 
 i 
 
 2 
 
 e 
 
 Equation 
 
 d 
 
 00 
 
 d 
 O'OO4O 
 
 2 
 
 34 
 
 4 
 
 28 
 
 6 
 
 23 
 
 8 
 
 18 
 
 10 
 
 H 
 
 11 
 
 o-oo 1 1 
 
 4 
 
 8 
 
 6 
 
 7 
 
 8 
 
 6 
 
 20 
 
 7 
 
 22 
 
 0-0008 
 
 4 
 
 ii 
 
 6 
 
 14 
 
 8 
 
 '9 
 
 30 
 
 24 
 
 32 
 
 0-00029 
 
 4 
 
 35 
 
 6 
 
 4 1 
 
 8 
 
 47 
 
 4'O 
 
 52 
 
 42 
 
 0-0057 
 
 4 
 
 62 
 
 6 
 
 67 
 
 8 
 
 70 
 
 50 
 
 72 
 
 52 
 
 0-0074 
 
 4 
 
 74 
 
 6 
 
 73 
 
 8 
 
 7i 
 
 60 
 
 69 
 
 62 
 
 0-0065 
 
 4 
 
 61 
 
 6 
 
 56 
 
 8 
 
 5 1 
 
 70 
 
 45 
 
 72 
 
 0-0039 
 
 4 
 
 33 
 
 6 
 
 27 
 
 8 
 
 22 
 
 8-0 
 
 '7 
 
 82 
 
 O-OOI3 
 
 4 
 
 10 
 
 6 
 
 8 
 
 8 
 
 6 
 
 9-O 
 
 6 
 
 92 
 
 0-0007 
 
 4 
 
 9 
 
 6 
 
 12 
 
 8 
 
 '5 
 
 100 
 
 O-OO20 
 
 1 
 
 1 
 
 
 
 Equation 
 
 d 
 00 
 
 d 
 
 0-0020 
 
 2 
 
 18 
 
 4 
 
 '5 
 
 6 
 
 '3 
 
 8 
 
 1 1 
 
 1-0 
 
 9 
 
 1-2 
 
 0-0008 
 
 4 
 
 7 
 
 6 
 
 6 
 
 8 
 
 6 
 
 2-0 
 
 6 
 
 22 
 
 0-0007 
 
 4 
 
 8 
 
 6 
 
 9 
 
 8 
 
 ii 
 
 30 
 
 '3 
 
 32 
 
 0-0015 
 
 4 
 
 ll 
 
 6 
 
 20 
 
 8 
 
 23 
 
 40 
 
 25 
 
 42 
 
 0-0027 
 
 4 
 
 29 
 
 6 
 
 Si 
 
 8 
 
 32 
 
 50 
 
 33 
 
 52 
 
 0-0034 
 
 4 
 
 34 
 
 6 
 
 34 
 
 8 
 
 33 
 
 60 
 
 32 
 
 62 
 
 0-0030 
 
 4 
 
 29 
 
 6 
 
 27 
 
 8 
 
 24 
 
 7'O 
 
 22 
 
 7-2 
 
 0-OOlg 
 
 4 
 
 17 
 
 6 
 
 15 
 
 8 
 
 13 
 
 80 
 
 II 
 
 8-2 
 
 0-0009 
 
 4 
 
 8 
 
 6 
 
 7 
 
 8 
 
 6 
 
 90 
 
 6 
 
 92 
 
 O'ooo6 
 
 4 
 
 7 
 
 6 
 
 8 
 
 8 
 
 10 
 
 100 
 
 0-0012 
 
 I 
 
 2 
 
 n 
 
 Equation 
 
 d 
 00 
 
 d 
 
 0*0020 
 
 2 
 
 23 
 
 4 
 
 25 
 
 6 
 
 *7 
 
 8 
 
 28 
 
 1-0 
 
 28 
 
 1-2 
 
 0-0027 
 
 4 
 
 25 
 
 6 
 
 23 
 
 8 
 
 20 
 
 20 
 
 17 
 
 2-2 
 
 O-OOI5 
 
 4 
 
 13 
 
 6 
 
 12 
 
 8 
 
 12 
 
 30 
 
 3 
 
 32 
 
 O-OOI5 
 
 4 
 
 ll 
 
 6 
 
 2O 
 
 8 
 
 23 
 
 40 
 
 25 
 
 42 
 
 O-OO27 
 
 4 
 
 28 
 
 6 
 
 28 
 
 8 
 
 27 
 
 50 
 
 25 
 
 52 
 
 O-OO22 
 
 4 
 
 20 
 
 6 
 
 '7 
 
 8 
 
 '5 
 
 60 
 
 13 
 
 6-2 
 
 O'OOI2 
 
 4 
 
 12 
 
 6 
 
 13 
 
 8 
 
 15 
 
 7-O 
 
 ll 
 
 72 
 
 O'OO2 1 
 
 4 
 
 23 
 
 6 
 
 25 
 
 8 
 
 27 
 
 80 
 
 28 
 
 82 
 
 O-OO28 
 
 4 
 
 27 
 
 6 
 
 25 
 
 8 
 
 22 
 
 9O 
 
 '9 
 
 92 
 
 0-0016 
 
 4 
 
 4 
 
 6 
 
 13 
 
 8 
 
 12 
 
 100 
 
 0-0012 
 
 Constant : +o d 'oo2o. 
 
 Constant: +o d 'oo4o. 
 
 Constant: +o i 'txao. 
 
 Constant : +o d *oo2o. 
 
 >47 
 
SATELLITE III 
 
 Tables 
 
 of 
 
 Longitude on Jupiter's Orbit, 
 
 Variation of the Radius Vector, 
 
 and Latitude 
 
XI 
 
 SATELLITE III 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 Values at Epoch of Mean Longitude and the Arguments 
 
 I 
 
 z 
 
 3 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 10 
 
 ii 
 
 12 
 
 '3 
 
 Date 
 
 Mean Long. 
 
 A 
 
 B 
 
 c 
 
 D 
 
 E 
 
 F 
 
 G 
 
 H 
 
 1 
 
 J 
 
 K 
 
 
 O 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 1 850 O 
 
 346-69972 
 
 5'6l IO4 
 
 7-IIO 
 
 578 
 
 2-6522 
 
 1-9589 
 
 I- 54 
 
 2-21 
 
 4^3 
 
 43-22 
 
 224 
 
 451-85 
 
 1851 
 
 354-64062 
 
 3-96283 
 
 8-935 
 
 5'55 
 
 2-7199 
 
 2-0632 
 
 5-17 
 
 5-81 
 
 379 
 
 6-95 
 
 188 
 
 35 9 -l8 
 
 *1852-O 
 
 358-58151 
 
 2-31462 
 
 10-761 
 
 5-33 
 
 2-7875 
 
 2-1675 
 
 1-86 
 
 2-46 
 
 2-75 
 
 20-85 
 
 IS' 
 
 266-50 
 
 18530 
 
 54-84005 
 
 1-66641 
 
 1-064 
 
 6-ii 
 
 3-855Z 
 
 3-2 7 l8 
 
 6-49 
 
 o-io 
 
 271 
 
 3574 
 
 116 
 
 '74-83 
 
 1 8540 
 
 60-78095 
 
 O-OlSlg 
 
 2-890 
 
 5-88 
 
 3-9228 
 
 3-376I 
 
 3-i8 
 
 37 
 
 1-67 
 
 49-63 
 
 80 
 
 82-15 
 
 18550 
 
 66-72185 
 
 5-42091 
 
 4715 
 
 5-66 
 
 3'995 
 
 3-4804 
 
 6-81 
 
 0-35 
 
 0-63 
 
 I3-37 
 
 44 
 
 447-15 
 
 * 185 60 
 
 72-66274 
 
 377270 
 
 6-541 
 
 5H4 
 
 4-0581 
 
 3-5847 
 
 3-50 
 
 3-95 
 
 6-77 
 
 27-26 
 
 8 
 
 354-4 8 
 
 1857 
 
 128-92128 
 
 3 - I2449 
 
 9-367 
 
 6-21 
 
 5-1258 
 
 4-6890 
 
 1-18 
 
 i -60 6-72 
 
 42-16 
 
 374 
 
 262-80 
 
 1 858 
 
 134-86218 
 
 1-47628 
 
 11-193 
 
 5-99 
 
 5-I935 
 
 4-7934 
 
 4-82 
 
 5-20 5-68 
 
 5-90 
 
 338 
 
 I70-I3 
 
 1859 O 
 
 140-80308 
 
 6-87900 
 
 0-495 
 
 577 
 
 5-2611 
 
 4'8977 
 
 1-50 
 
 1-85 
 
 4-64 
 
 19-79 
 
 302 
 
 77H5 
 
 *1860 
 
 14674397 
 
 5-23078 
 
 2-321 
 
 5'54 
 
 5-3288 
 
 5'O02O 
 
 5'H 
 
 5'4S 
 
 3 '60 
 
 33-68 
 
 265 
 
 442-45 
 
 1861 
 
 203-00251 
 
 4-58257 
 
 5-I47 
 
 6-31 
 
 6-3964 
 
 6-1063 
 
 2-82 
 
 3-10 3-56 
 
 48-58 
 
 230 
 
 35078 
 
 1 862-0 
 
 208-94341 
 
 2-93436 
 
 6-973 
 
 6-09 
 
 6-4641 
 
 6-2106 
 
 6-46 
 
 6-70 i 2-52 
 
 12-31 
 
 '94 
 
 258-10 
 
 1 8630 
 
 214-88431 
 
 I-286I5 
 
 8-799 
 
 5-87 
 
 6-5317 
 
 6-3149 
 
 3-14 3-35 1-48 
 
 26-21 
 
 158 
 
 '65-43 
 
 *1864O 
 
 220-82520 
 
 6-68887 
 
 10-624 
 
 5-65 
 
 6-5994 
 
 6-4192 
 
 6-78 o-oo 0-44 
 
 40-10 
 
 122 
 
 7275 
 
 18650 
 
 277-08374 
 
 6-04066 
 
 0-927 
 
 6-42 
 
 0-5115 
 
 0-3687 
 
 4-46 4-60 
 
 0-40 
 
 4-84 
 
 87 
 
 438-75 
 
 1866-0 
 
 283*02464 
 
 4"39 2 45 
 
 2753 
 
 6-20 
 
 0-5791 
 
 0-4730 
 
 1-15 
 
 1-25 
 
 6-53 
 
 '8-73 
 
 5 
 
 346-08 
 
 1867 O 
 
 288-96554 
 
 2-74424 
 
 4' 5 79 
 
 5-98 
 
 0-6468 
 
 0-5773 
 
 4-78 
 
 4-85 
 
 5'49 
 
 32-63 
 
 '4 
 
 253-40 
 
 "18680 
 
 294-90643 
 
 1-09603 
 
 6-404 
 
 575 
 
 0-7144 
 
 0-68 1 6 
 
 1-47 
 
 1-50 
 
 4'45 
 
 46-52 
 
 379 
 
 16073 
 
 1869 
 
 351-16497 
 
 0-44782 
 
 9-230 
 
 6-53 
 
 1-7821 
 
 1-7859 
 
 6 - io 
 
 6-10 
 
 4-41 
 
 1 1-26 
 
 344 
 
 69-06 
 
 18700 
 
 357-10587 
 
 5-85053 
 
 11-056 
 
 6-30 
 
 1-8498 
 
 1-8902 
 
 279 
 
 2-75 
 
 3'37 
 
 25-15 
 
 308 
 
 434-06 
 
 
 
 
 
 
 
 
 
 
 
 
 
 1871 
 
 3-04676 
 
 4-20232 
 
 0-359 
 
 6-08 
 
 1-9174 
 
 I-9945 
 
 6-42 
 
 6-35 
 
 *'33 
 
 39"5 
 
 272 
 
 34I-38 
 
 *1872-O 
 
 8-98766 
 
 2-55411 
 
 2-184 5'86 
 
 1-9851 
 
 2-0988 
 
 3-" 
 
 2-99 
 
 1-29 
 
 278 
 
 236 
 
 24871 
 
 18730 
 
 65-24620 
 
 1-90590 
 
 5-010 6-63 
 
 3-0527 
 
 3-2032 
 
 079 
 
 0-64 
 
 1-25 
 
 17-68 
 
 200 
 
 I57-03 
 
 1 8740 
 
 71-18710 
 
 0-25769 
 
 6-836 6-41 
 
 3-1204 
 
 3-3075 
 
 4-43 
 
 4-24 
 
 O'2I 
 
 3f57 
 
 164 
 
 64-36 
 
 18750 
 
 77-12799 5-66041 
 
 8-662 
 
 6-19 
 
 3-1880 
 
 3-4118 
 
 i-i i 
 
 0-89 
 
 6'34 
 
 4 5 '47 
 
 128 
 
 429-36 
 
 *1876'O 
 
 83-06889 4-01219 
 
 10-488 
 
 5-96 
 
 3-2557 
 
 3-5161 
 
 4'75 
 
 4-49 
 
 5-3 
 
 9-20 
 
 92 
 
 336-68 
 
 1877O 
 
 I39-32743 
 
 3-36398 
 
 0790 
 
 6-74 
 
 4'3233 
 
 4-6204 
 
 2-43 
 
 2-14 
 
 5-26 
 
 24-10 
 
 57 
 
 245-01 
 
 1878O 
 
 145-26833 
 
 1-71577 ! 2-616 
 
 6-51 
 
 4-3910 
 
 4-7247 
 
 6-07 
 
 5-74 
 
 4-22 
 
 37-99 
 
 21 
 
 I52-33 
 
 18790 
 
 151*20922 
 
 0-06756 4'44 2 
 
 6-29 
 
 4-4586 
 
 4-8290 
 
 2-75 
 
 2-39 
 
 i'll 
 
 1-73 
 
 386 
 
 59-66 
 
 * 18800 
 
 157-15012 
 
 5-47028 
 
 6-268 
 
 6-07 
 
 4-5263 
 
 4-9333 
 
 6'39 
 
 5-99 
 
 2-14 
 
 15-62 
 
 350 
 
 424-66 
 
 1881 
 
 213-40866 
 
 4-82207 
 
 9-093 
 
 6-84 
 
 5-5939 
 
 6-0376 
 
 4-07 
 
 3-64 
 
 2-IO 
 
 30-51 
 
 3'4 
 
 332-98 
 
 1882 O 
 
 219-34956 
 
 3-I7386 
 
 10-919 
 
 6-62 
 
 5-6616 
 
 6-1419 
 
 0-76 
 
 0-29 
 
 I '06 
 
 44-41 
 
 2 7 8 
 
 240-31 
 
 18830 
 
 225-29045 
 
 1-52565 
 
 O-222 
 
 6-39 
 
 5-7292 
 
 6-2462 
 
 4'39 
 
 3-89 
 
 O'O2 
 
 8-15 
 
 242 
 
 '47-63 
 
 * 1884-0 
 
 231-23135 
 
 6-92836 
 
 2-048 
 
 6-17 
 
 5-7969 
 
 6-3505 
 
 i -08 
 
 0-54 
 
 6-I 5 
 
 22-04 
 
 2O6 
 
 54-96 
 
 18850 
 
 287-48989 
 
 6-28015 
 
 4-873 
 
 6-95 
 
 6-8645 
 
 0-3000 
 
 57i 
 
 S''4 
 
 6-1 1 
 
 36-93 
 
 171 
 
 420-96 
 
 1886 
 
 293-43079 
 
 4-63194 
 
 6-699 
 
 6-72 
 
 6-9322 
 
 0-4043 
 
 2-40 
 
 1-79 
 
 5-07 
 
 0-67 
 
 '35 
 
 328-28 
 
 18870 
 
 299-37168 
 
 2-98373 
 
 8-525 
 
 6-50 
 
 6-9998 
 
 0-5086 
 
 6-03 
 
 5'39 
 
 4-03 
 
 I4-S6 
 
 f 
 
 235-61 
 
 *18880 
 
 305-31258 
 
 1-33552 
 
 IO-35I 
 
 6-28 
 
 7-0675 
 
 0-6130 
 
 272 
 
 2*04 
 
 2-99 
 
 28-46 
 
 62 
 
 142-93 
 
 1889 
 
 1-57112 
 
 0-68731 
 
 0-653 
 
 7-05 
 
 0-9796 
 
 1-7173 
 
 0-40 
 
 6-64 
 
 2-95 
 
 43-35 
 
 27 
 
 51-26 
 
 18900 
 
 7-51202 
 
 6-09003 
 
 2-479 
 
 6-83 
 
 1-0473 
 
 1-8216 
 
 4-04 
 
 3-29 
 
 1-91 
 
 7-09 
 
 392 
 
 416-26 
 
 1891 
 
 13-45291 
 
 4-44182 
 
 4-305 
 
 6-60 
 
 1-1149 
 
 1-9259 
 
 0-72 
 
 6-88 
 
 0-87 
 
 20-98 
 
 356 
 
 323-58 
 
 *1892O 
 
 19-39381 
 
 2-79360 
 
 6-I3I 
 
 6-38 
 
 1-1826 
 
 2-0302 
 
 4-36 
 
 3-53 
 
 7-01 
 
 34-88 
 
 320 
 
 230-91 
 
 1893 
 
 75-65235 
 
 2-14539 
 
 8-957 
 
 o-oo 
 
 2-2502 
 
 3-I345 
 
 2-04 
 
 I'll 
 
 6-96 
 
 4977 
 
 285 
 
 I39- Z 3 
 
 18940 
 
 81-59325 
 
 0-49718 
 
 10782 
 
 6-93 
 
 2-3179 
 
 3-2388 
 
 5-68 
 
 4-78 
 
 5-92 
 
 i3'5' 
 
 249 
 
 46-56 
 
 1895-0 
 
 87'534'4 
 
 5-89990 
 
 0-085 
 
 6-71 
 
 2-3855 
 
 3-343I 
 
 2-36 
 
 i '43 
 
 4-88 
 
 27-40 
 
 212 
 
 411-56 
 
 * 18960 
 
 93"47504 
 
 4-25169 
 
 I-9II 
 
 6-49 
 
 2-4532 
 
 3-4474 
 
 6-00 
 
 5'3 
 
 3-84 
 
 41-30 
 
 I 7 6 
 
 318-88 
 
 1897 
 
 H973358 
 
 3-60348 
 
 4737 
 
 O'lO 
 
 3-5208 
 
 4'55'7 
 
 3-68 
 
 2-68 
 
 3-80 
 
 6-03 
 
 HI 
 
 227-21 
 
 1 898 
 
 155-67448 
 
 1-95527 
 
 6-562 
 
 7-04 
 
 3-5885 
 
 4-6560 
 
 0-37 
 
 6-28 
 
 2-76 
 
 I9-93 
 
 105 
 
 134-53 
 
 18990 
 
 161-61537 
 
 0-30706 
 
 8-388 
 
 6-81 
 
 3-6561 
 
 4-7603 
 
 4-00 
 
 2-93 
 
 1-72 
 
 33-82 
 
 69 
 
 41-86 
 
 1900 
 
 167-55628 
 
 5-70977 
 
 10-214 
 
 6-59 
 
 3-7238 
 
 4-8646 
 
 0-69 
 
 6-53 
 
 0-68 
 
 4772 
 
 33 
 
 406-86 
 
 Periods 
 
 
 7-05093 
 
 12-523 
 
 7-16 
 
 7-1555 
 
 7-1548 
 
 6-95 
 
 6-95 
 
 7-18 
 
 50-16 
 
 401 
 
 457-67 
 
 Constant applied to entries in Column 2 : - cf'+jooo. 
 150 
 
SATELLITE III 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XI Values at Epoch of Mean Longitude and the Arguments 
 
 '4 
 
 >5 
 
 16 
 
 >7 
 
 18 19 
 
 20 
 
 21 
 
 22 
 
 23 
 
 *4 
 
 *5 
 
 L 
 
 M 
 
 a 
 
 N 
 
 P 
 
 Q 
 
 R 
 
 s 
 
 T 
 
 U 
 
 V 
 
 d 
 
 d d 
 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 205-04 
 
 253-48 
 
 1785-1 
 
 18500 
 
 0-63148 
 
 2'IO 
 
 2-889 
 
 3-38 
 
 5-1475 
 
 3'57 
 
 6-117 
 
 7-0 
 
 8774 
 
 132-89 
 
 2I50-2 
 
 1 851 
 
 0-74929 
 
 2-34 
 
 3-033 
 
 3-50 
 
 5-3l6l 
 
 3-92 
 
 6-248 
 
 5'9 
 
 45274 
 
 12-30 
 
 25I5-4 
 
 *18520 
 
 0-86710 
 
 2-57 
 
 3-I76 
 
 O-O5 
 
 5-4848 
 
 4-28 
 
 6-379 
 
 4-8 
 
 336-44 
 
 378-30 
 
 2881-5 
 
 18530 
 
 1-98490 
 
 0-23 
 
 0-742 
 
 1-18 
 
 6-6534 
 
 5^3 
 
 o-355 
 
 47 
 
 219-14 
 
 257-71 
 
 3246-5 
 
 18540 
 
 2-I027I 
 
 o-47 
 
 0-885 
 
 1*30 
 
 6-8221 
 
 5'99 
 
 0-486 
 
 3-6 
 
 IOI-83 
 
 137-12 
 
 36ll*7 
 
 1 855 
 
 2-22O52 
 
 071 
 
 1-029 
 
 1-42 
 
 6- 99 07 
 
 6*34 
 
 0-617 
 
 2*5 
 
 466-83 
 
 16-53 
 
 3976-4 
 
 * 18560 
 
 2-33833 
 
 o-94 
 
 I-I72 
 
 '"55 
 
 0-0058 
 
 6*70 
 
 0-748 
 
 1-4 
 
 35O-53 
 
 382-53 
 
 97 
 
 1857 O 
 
 3-45613 
 
 2-18 
 
 2-315 
 
 2-67 
 
 1*1745 
 
 0-90 
 
 1-878 
 
 '"3 
 
 233-23 
 
 261-95 
 
 374'6 
 
 18580 
 
 
 2-4' 
 
 2-458 
 
 2-80 
 
 1-3432 
 
 1-26 
 
 2-009 
 
 0*2 
 
 "5-93 
 
 '4' - 35 
 
 739'6 
 
 1859 
 
 3-69175 
 
 2-65 
 
 2*601 
 
 2*92 
 
 I-5I18 
 
 1-61 
 
 2-140 
 
 6*3 
 
 480-93 
 
 20-76 
 
 1104-7 
 
 * 18600 
 
 3-80956 
 
 2-89 
 
 2745 
 
 3-05 
 
 I-6805 
 
 1*97 
 
 2-271 
 
 5'2 
 
 364-63 
 
 386-76 
 
 1470*9 
 
 1 861 O 
 
 4-92736 
 
 0-55 
 
 0*311 
 
 0*59 
 
 2-8491 
 
 3-32 
 
 3-402 
 
 5-' 
 
 
 266-17 
 
 1836-2 
 
 1862O 
 
 5-04517 
 
 0-78 
 
 0-454 
 
 0-72 
 
 3-0178 
 
 3*68 
 
 3-532 
 
 4-0 
 
 I30-O2 
 
 145-58 
 
 22OP2 
 
 1863O 
 
 5-16298 
 
 i -02 
 
 0-597 
 
 0*84 
 
 3-1865 
 
 4-03 
 
 3-663 
 
 2-9 
 
 12-72 
 
 24-99 
 
 2566-0 
 
 '18640 
 
 5-28079 
 
 1-26 
 
 0-741 
 
 0-96 
 
 3-355I 
 
 4-39 
 
 3-794 
 
 1-8 
 
 37872 
 
 390-99 
 
 293I-3 
 
 1865 
 
 6-39859 
 
 2-49 
 
 1*884 
 
 2*09 
 
 4-5238 
 
 574 
 
 4-925 
 
 1-8 
 
 261-42 
 
 270-40 
 
 3295-8 
 
 18660 
 
 6-51640 
 
 2-73 
 
 2-027 
 
 2-21 
 
 4^924 
 
 6-10 
 
 5-055 
 
 0-7 
 
 I44-I2 
 
 149-81 
 
 3659-9 
 
 1867-0 
 
 6-63421 
 
 2'97 
 
 2-170 
 
 2-34 
 
 4-86II 
 
 6*45 
 
 5-186 
 
 67 
 
 26-82 
 
 29*22 
 
 4024-7 
 
 * 1868-0 
 
 6-75202 
 
 3-20 
 
 2-314 
 
 2- 4 6 
 
 5-0297 
 
 6-8 1 
 
 5-3I7 
 
 57 
 
 392-82 
 
 395-22 
 
 5 8-I 
 
 1869-0 
 
 071527 
 
 0-86 
 
 3-457 
 
 o-o i 
 
 6*1984 
 
 I -01 
 
 6*448 
 
 5-6 
 
 275-5I 
 
 
 
 18700 
 
 0-83308 
 
 1*10 
 
 0-023 
 
 0-13 
 
 6-3671 
 
 ''37 
 
 6-579 
 
 4'5 
 
 I58-2I 
 
 154-04 
 
 789-2 
 
 1871 
 
 0-95089 
 
 I- 34 
 
 0-166 
 
 O-26 
 
 6-5357 
 
 1*72 
 
 6-709 
 
 3'4 
 
 40-91 
 
 33-45 
 
 II55-0 
 
 *1872-O 
 
 1-06869 
 
 1-57 
 
 0-309 
 
 0-38 
 
 67044 
 
 2*08 
 
 6-840 
 
 2'3 
 
 406-91 
 
 399-45 
 
 I52I-6 
 
 1873 
 
 2-18650 
 
 2*81 
 
 1-453 
 
 I-5I 
 
 0-7195 
 
 3-43 
 
 0-817 
 
 2*2 
 
 289-61 
 
 278-86 
 
 1886*9 
 
 18740 
 
 2-30431 
 
 3-05 
 
 1-596 
 
 I-6 3 
 
 0-8881 
 
 379 
 
 0-948 
 
 1*1 
 
 I72-3I 
 
 158-27 
 
 225I*8 
 
 1875 
 
 2^2212 
 
 3-28 
 
 1*739 
 
 '75 
 
 1-0568 
 
 4-14 
 
 1*078 
 
 o-o 
 
 55-00 
 
 37-68 
 
 26l6*2 
 
 *1876O 
 
 2-53992 
 
 3-52 
 
 1*882 
 
 1-88 
 
 1*2255 
 
 4*50 
 
 1*209 
 
 6*1 
 
 421-00 
 
 403-68 
 
 2981-5 
 
 1877-O 
 
 3^5773 
 
 I'll 
 
 3*026 
 
 3-00 
 
 2-394' 
 
 5*85 
 
 2-34 
 
 6-0 
 
 303-70 
 
 283-09 
 
 3345-8 
 
 18780 
 
 377554 
 
 1*42 
 
 3*169 
 
 3-13 i 2-5628 
 
 6*21 
 
 2-471 
 
 4'9 
 
 186-40 
 
 162-51 
 
 3710-2 
 
 18790 
 
 
 1*65 
 
 3-312 
 
 3-25 2-7314 
 
 6*56 
 
 2-602 
 
 3-8 
 
 69-10 
 
 41-92 
 
 4075-1 
 
 18800 
 
 4-01115 
 
 1-89 
 
 3-455 
 
 3-38 
 
 2-9001 
 
 6*92 
 
 2732 
 
 2*7 
 
 435-io 
 
 407-92 
 
 108*8 
 
 1881 
 
 5-12896 
 
 3-13 
 
 l'O22 
 
 0-92 
 
 4-0687 
 
 1*12 
 
 3-863 
 
 2-6 
 
 317-80 
 
 287-33 
 
 474'4 
 
 18820 
 
 5-24677 
 
 3-36 
 
 1-165 
 
 1-05 
 
 4-2374 
 
 1*48 
 
 3'994 
 
 ''5 
 
 200-49 
 
 166-74 
 
 840-0 
 
 18830 
 
 536458 
 
 0-02 
 
 1*308 
 
 1-17 
 
 4-4061 
 
 1*83 
 
 4-124 
 
 0-4 
 
 83-19 
 
 46-15 
 
 1205-4 
 
 *18840 
 
 5-48238 
 
 0-26 
 
 1-451 
 
 1-30 
 
 4*5747 
 
 2*I 9 
 
 4-256 
 
 6-5 
 
 449-19 
 
 412-15 
 
 1571-5 
 
 18850 
 
 6-60019 
 
 I-50 
 
 2-595 
 
 2-42 
 
 57434 
 
 3-54 
 
 5-386 
 
 6*4 
 
 331-89 
 214-59 
 
 291-56 
 
 170-97 
 
 1936-3 
 2300-9 
 
 1886-0 
 
 1887 
 
 6-71800 
 6-83581 
 
 '73 
 '"97 
 
 2738 
 2-881 
 
 2-54 
 2-67 
 
 5-9120 
 6*0807 
 
 3-90 
 
 4^5 
 
 5-5I7 
 5-648 
 
 5'3 
 4'* 
 
 97-29 
 463-29 
 
 50*38 
 416-38 
 
 2665-5 
 3031-2 
 
 ^ 18880 
 1889 
 
 6*95361 
 0*91687 
 
 2'2O 
 3'44 
 
 3-024 
 0-590 
 
 2*79 
 
 6*2494 
 0-2645 
 
 4*6, 
 5*96 
 
 5779 
 6-910 
 
 3'i 
 
 345 '99 
 
 29579 
 
 3396-1 
 
 18900 
 
 1*03467 
 
 o-io 0*733 
 
 0-46 
 
 0-4331 
 
 6*32 
 
 7-040 
 
 2'O 
 
 228-68 
 
 175-20 
 
 376i-4 
 
 1891 
 
 1-15248 
 
 0-34 0-877 
 
 0*59 
 
 0*6018 
 
 6-67 
 
 0-017 
 
 0- 9 
 
 111-38 
 
 54-61 
 
 4126-8 
 
 '18920 
 
 1*27029 
 
 0*57 ' i -020 
 
 0-71 
 
 0-7704 
 
 7-02 
 
 0*148 
 
 6-9 
 
 477-38 
 
 420-61 
 
 1 60-6 
 
 18930 
 
 2-38810 
 
 1-81 
 
 2-163 
 
 1-84 
 
 1-9391 
 
 1-23 
 
 1*278 
 
 6-9 
 
 360-08 
 
 300*02 
 
 526-0 
 
 1894*0 
 
 2-50590 
 
 2*05 
 
 2-307 
 
 1-96 
 
 2-1078 
 
 1*59 
 
 1-409 
 
 5'8 
 
 242-78 
 
 '79'43 
 
 891-2 
 
 1895 
 
 2-62371 
 
 2*28 
 
 2-450 
 
 2-09 
 
 2-2764 
 
 1-94 
 
 1-540 
 
 4'7 
 
 125-48 
 9"'7 
 
 58-84 
 424-84 
 
 1256-1 
 1621-9 
 
 ' 189 60 
 1897 
 
 274152 
 
 2*52 
 
 0*1 8 
 
 2*593 
 0*159 
 
 2-21 
 
 3-33 
 
 2-4451 
 3*6137 
 
 2*30 
 3-65 
 
 1-671 
 2-802 
 
 3-6 
 3'5 
 
 374-I7 
 256-87 
 
 304-25 
 183-66 
 
 1986-5 
 2351-2 
 
 1898 
 1899 
 
 3-977I3 
 4-09494 
 
 0-42 
 0*65 
 
 0*303 
 0-446 
 
 O'OI 
 
 37824 
 3-9510 
 
 4-01 
 4-36 
 
 2-932 
 3-063 
 
 1-3 
 
 139-57 
 
 63-07 
 
 2716-0 
 
 1 900 
 
 4-21275 
 
 0-89 0-589 
 
 0*13 
 
 4-1197 
 
 4-72 
 
 3"'94 
 
 O'2 
 
 482-30 
 
 485-59 
 
 4332-6 
 
 Periods 
 
 7-15455 
 
 3-58 3-577 
 
 3-58 
 
 7-I536 
 
 7-.5 
 
 7-I54 
 
 7-2 
 
 To obtain the True Longitude, reduced to Jupiter's Orbit, the entries of Column 2 must be supplemented by the equations of Tables XII AAiH. 
 
 '5' 
 
SATELLITE III 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XI continued Values at Epoch of Mean Longitude and the Arguments 
 
 I 
 
 i 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 10 
 
 ii 
 
 ii 
 
 13 
 
 Date 
 
 Mean Long. 
 
 A 
 
 B 
 
 c 
 
 D 
 
 E 
 
 F 
 
 G 
 
 H 
 
 1 
 
 J 
 
 K 
 
 
 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 19000 
 
 167-55628 
 
 5.70977 
 
 IO-2I4 
 
 6-59 
 
 37238 
 
 4-8646 
 
 0-69 
 
 6-53 
 
 0-68 
 
 4772 
 
 33 
 
 406-86 
 
 1 9O1 O 
 
 173-49718 
 
 4-06156 
 
 12-040 
 
 6-37 
 
 37915 
 
 4-9690 
 
 4-32 
 
 3-18 
 
 6-81 
 
 11-45 
 
 398 
 
 314-19 
 
 1 9020 
 
 179-43807 
 
 2-4I335 
 
 I-342 
 
 6-14 
 
 3-8591 
 
 5'733 
 
 roi 
 
 6-78 
 
 577 
 
 25-35 | 361 
 
 22I-5I 
 
 19030 
 
 185-37897 
 
 076514 
 
 3-168 
 
 5-92 
 
 3-9268 
 
 5-1776 
 
 4-64 
 
 3'43 
 
 473 
 
 39-24 325 
 
 128-84 
 
 *19O4-O 
 
 191-31986 
 
 6-16786 
 
 4'994 
 
 5-69 
 
 3*9944 
 
 5-2819 
 
 i'33 
 
 0-08 
 
 3'69 
 
 2-98 
 
 289 
 
 36-16 
 
 1 9050 
 
 247-57841 
 
 5-51965 
 
 7-820 
 
 6-47 
 
 5-0621 
 
 6-3862 
 
 5-96 
 
 4-68 
 
 3-65 
 
 17-87 
 
 254 
 
 402*16 
 
 1 906 
 
 253-51930 
 
 3-87H4 
 
 9-646 
 
 6-25 
 
 5-1297 
 
 6-4905 
 
 2-65 
 
 1-33 
 
 2-61 
 
 31-76 
 
 218 
 
 309-49 
 
 19070 
 
 259-46020 
 
 2-22323 
 
 11-471 
 
 6'O2 
 
 5-I974 
 
 6-5948 
 
 6-28 
 
 4-93 
 
 1-57 
 
 45-66 
 
 182 
 
 2l6-8l 
 
 *1 908 
 
 265-40109 
 
 0-57501 
 
 0-774 
 
 5-80 
 
 5-2650 
 
 6-6991 
 
 2-97 
 
 1-58 
 
 o-53 
 
 9-40 
 
 HS 
 
 I2 4 -I4 
 
 19090 
 
 321-65964 
 
 6-97773 
 
 3-600 
 
 6-58 
 
 6-3327 
 
 0-6486 
 
 0-66 
 
 6-18 
 
 0-49 
 
 24-29 
 
 I IO 
 
 32-46 
 
 191O-O 
 
 327-60053 
 
 5-32952 
 
 5-426 
 
 6-35 
 
 6-4003 
 
 0-7529 
 
 4-29 
 
 2-82 
 
 6-62 
 
 38-18 
 
 74 
 
 397^6 
 
 1911 
 
 333-54143 
 
 3-68131 
 
 7-251 
 
 6-13 
 
 6-4680 
 
 0-8572 
 
 0-98 
 
 6-42 
 
 5-58 
 
 1-92 
 
 38 
 
 30478 
 
 *1912'O 
 
 339-48232 
 
 2-03310 
 
 9-077 
 
 5-90 
 
 6-5356 
 
 0-9615 
 
 4-61 
 
 3-07 
 
 4-54 
 
 15-81 
 
 2 
 
 2I2'I I 
 
 19130 
 
 3574087 
 
 1-38489 
 
 11-903 
 
 6-68 
 
 0-4478 
 
 2-0658 
 
 2-30 
 
 0-72 
 
 4-50 
 
 30-71 
 
 368 
 
 I2O*44 
 
 19140 
 
 41-68176 
 
 6-78760 
 
 1-206 
 
 6-46 
 
 0-5154 
 
 2-1701 
 
 5-93 
 
 4-32 
 
 3-46 
 
 44-60 
 
 332 
 
 27-76 
 
 19150 
 
 47-62266 
 
 5-13939 
 
 3-031 
 
 6-23 
 
 0-5831 
 
 2-2744 
 
 2-62 
 
 0-97 
 
 2-42 
 
 8-34 
 
 296 
 
 392-76 
 
 *1916 
 
 53-56355 
 
 3-49118 
 
 4-857 
 
 6-01 
 
 0-6507 
 
 2-3788 
 
 6-25 
 
 4'57 
 
 I'll 
 
 22-23 
 
 259 
 
 300-09 
 
 19170 
 
 109-82210 
 
 2-84297 
 
 7-683 
 
 6-79 
 
 1-7184 
 
 3-4831 
 
 3-94 
 
 2-22 
 
 i-34 
 
 37-13 
 
 224 
 
 208-41 
 
 19180 
 
 115-76299 ; 1-19476 
 
 9-509 
 
 6-56 
 
 1-7860 
 
 3-5874 
 
 0-62 
 
 5-82 
 
 0-30 
 
 0-86 
 
 188 
 
 H574 
 
 191 9-O 
 
 121-70389 
 
 6-59748 
 
 n'335 
 
 6'34 
 
 I-8537 
 
 3-6917 
 
 4-26 
 
 2-47 
 
 6'43 
 
 14-76 
 
 152 
 
 23-06 
 
 f 19200 
 
 127-64478 
 
 4-94927 
 
 0-637 
 
 6-1 1 
 
 1-9213 
 
 3-7960 
 
 0-94 
 
 6-07 
 
 5-39 
 
 28-65 
 
 116 
 
 388-06 
 
 1921 O 
 
 183-90332 
 
 4-30106 
 
 3-4 6 3 
 
 6-89 
 
 2-9890 
 
 4-9003 
 
 5-58 
 
 372 
 
 5'35 
 
 43-55 
 
 81 
 
 296-39 
 
 1922 
 
 189-84422 
 
 2-65285 
 
 5-289 
 
 6-67 
 
 3-0566 
 
 5-0046 
 
 2-26 
 
 0-37 
 
 4'3' 
 
 7-28 
 
 44 
 
 203-71 
 
 19230 
 
 195-78512 
 
 i -00464 
 
 7-115 
 
 6-44 
 
 3-1243 
 
 5-1089 
 
 5-9 
 
 3'97 
 
 3-27 
 
 21-18 
 
 8 
 
 II I-O4 
 
 *1924O 
 
 201-72601 
 
 6-40735 
 
 8-940 
 
 6-22 
 
 3-1919 
 
 5-2132 
 
 2-58 
 
 O-62 
 
 2-23 
 
 35-07 
 
 373 
 
 18 36 
 
 19250 
 
 257-98455 
 
 5759H 
 
 11-766 
 
 7-OO 
 
 4-2596 
 
 6-3175 
 
 0-27 
 
 5'22 
 
 2-19 
 
 49-97 
 
 338 
 
 384-36 
 
 1 9260 
 
 263-92545 
 
 4-11093 
 
 1-069 
 
 6-77 
 
 4-3272 
 
 6-4218 
 
 3-9 
 
 I-8 7 
 
 1-15 
 
 13-70 
 
 302 
 
 291-69 
 
 19270 
 
 269-86635 
 
 2-46272 
 
 2-895 
 
 6-55 
 
 4-3949 
 
 6-5261 
 
 0-59 
 
 5'47 
 
 O'll 
 
 27-60 
 
 z66 
 
 199-01 
 
 *1928O 
 
 275-80724 
 
 0-81451 
 
 4-720 
 
 6-32 
 
 4-4625 
 
 6-6304 
 
 4-22 
 
 2-12 
 
 6-24 
 
 41-49 
 
 230 
 
 106-34 
 
 19290 
 
 332-06578 
 
 0-16630 
 
 7-546 
 
 7-10 
 
 5-5302 
 
 0-5799 
 
 1-91 
 
 6-71 
 
 6'2O 
 
 6-23 
 
 194 
 
 14-66 
 
 1 930-0 
 
 338-00668 
 
 5-56901 
 
 9-372 
 
 6-88 
 
 5-5978 
 
 0-6842 
 
 5-54 
 
 3-36 
 
 5-16 
 
 2O-I2 
 
 158 
 
 379-66 
 
 1931 O 
 
 343-94758 
 
 3-92080 
 
 11-198 
 
 6-65 
 
 5-6655 
 
 0-7886 
 
 2-23 
 
 O'OI 
 
 4-12 
 
 34-02 
 
 122 
 
 286-99 
 
 *1932 O 
 
 349-88847 
 
 2-27259 
 
 0-500 
 
 6-43 
 
 5-7332 
 
 0-8929 
 
 5-86 
 
 3-6, 
 
 3-08 
 
 47-91 
 
 86 
 
 194-32 
 
 19330 
 
 46-14701 
 
 1-62438 
 
 3-326 
 
 0-04 
 
 6-8008 
 
 I-9972 
 
 3-55 
 
 1-26 
 
 3-04 
 
 12-65 
 
 5' 
 
 102-64 
 
 1 934-O 
 
 52-08791 
 
 7-02710 
 
 5-152 
 
 6-98 
 
 6-8685 
 
 2-1015 
 
 0-23 
 
 4-86 
 
 2 - OO 
 
 26-54 
 
 '5 
 
 9^7 
 
 19350 
 
 58-02881 
 
 5-37889 
 
 6-978 
 
 6-76 
 
 6-9361 
 
 2-2058 
 
 3-87 
 
 1-51 
 
 0-96 
 
 4'43 
 
 380 
 
 374^7 
 
 *193GO 
 
 63-96970 
 
 3-73068 
 
 8-804 
 
 6'53 
 
 7-0038 
 
 2-3101 
 
 0-55 
 
 5-11 
 
 7-10 
 
 4-I7 
 
 344 
 
 282-29 
 
 19370 
 
 120-22824 
 
 3-08247 
 
 11-629 
 
 0-15 
 
 0-9159 
 
 3-4*44 
 
 5-19 
 
 276 
 
 7^5 
 
 19-06 
 
 308 
 
 190-62 
 
 1 938 O 
 
 126-16914 
 
 1-43426 
 
 0-932 
 
 7-09 
 
 0-9835 
 
 3-5I87 
 
 1-87 
 
 6-36 
 
 6-01 
 
 32-96 
 
 272 
 
 97-94 
 
 1 939-O 
 
 132-1 1004 
 
 6-83697 
 
 2-758 
 
 6-86 
 
 1-0512 
 
 3-6230 
 
 5-5i 
 
 3-01 
 
 4'97 
 
 46-85 
 
 236 
 
 5-27 
 
 *1 94O-O 
 
 138-05093 
 
 5-18876 
 
 4-584 
 
 6-64 
 
 1-1188 
 
 37273 
 
 2-19 
 
 6-61 
 
 3-93 
 
 10-59 
 
 200 
 
 370-27 
 
 1 941 O 
 
 194-30947 
 
 4-54055 
 
 7-409 
 
 0-25 
 
 2-1865 
 
 4-8316 
 
 6-82 
 
 4-26 
 
 3-89 
 
 25-48 
 
 .65 
 
 278-59 
 
 1 942 O 
 
 200-25037 
 
 2-89234 
 
 9- 2 35 
 
 '3 
 
 2-2541 
 
 4^359 
 
 3-5i 
 
 0-91 
 
 2-85 
 
 39-37 
 
 129 
 
 185-92 
 
 1 943 O 
 
 206-19127 
 
 1-24413 
 
 1 1 -06 1 
 
 6-97 
 
 2-3218 
 
 5 -0402 
 
 0'2O 
 
 4-5i 
 
 1-81 
 
 3-11 
 
 92 
 
 93-24 
 
 *1 944-O 
 
 212-13216 
 
 6-64685 
 
 0-364 
 
 6-74 
 
 2-3895 
 
 5-1446 
 
 3-83 
 
 1-16 
 
 0-77 
 
 17-01 
 
 56 
 
 0'57 
 
 19450 
 
 268-39070 
 
 5-99864 
 
 3-189 
 
 0-36 
 
 3H57I 
 
 6-2489 
 
 I-52 
 
 576 
 
 073 31-9 
 
 21 
 
 366-57 
 
 19460 
 
 274-33159 
 
 4-35042 
 
 5-015 
 
 0-14 
 
 3-5248 
 
 6-3532 
 
 5-i5 
 
 2-41 
 
 6-86 45-80 
 
 386 
 
 273-89 
 
 19470 
 
 280-27250 
 
 2-70221 
 
 6-841 
 
 7-07 
 
 3-59 2 4 
 
 6-4575 
 
 1-84 
 
 6-01 
 
 5-82 9-53 
 
 35 
 
 181-22 
 
 -19480 
 
 286-21339 
 
 1-05400 
 
 8-667 
 
 6-85 
 
 3-6601 
 
 6-5618 
 
 5-47 
 
 2-65 
 
 4-78 
 
 23-43 
 
 3H 
 
 88-54 
 
 1 949 
 
 342-47193 
 
 0-40579 
 
 11-493 
 
 0-46 
 
 47277 
 
 0-5113 
 
 3-16 
 
 0-30 
 
 474 
 
 38-32 
 
 279 
 
 454-54 
 
 1 95O-O 
 
 348-41283 
 
 5-80851 
 
 0-795 
 
 0-24 
 
 47954 
 
 0-6156 
 
 6-79 
 
 3-90 
 
 37 
 
 2-06 
 
 243 
 
 361-87 
 
 Periods 
 
 
 7-05093 
 
 12-523 
 
 7-16 
 
 7-1555 
 
 7-1548 
 
 6-95 
 
 6-95 
 
 7-18 
 
 50-16 
 
 401 
 
 457^7 
 
 Constant applied to entries in Column 2 : - o'47ooo. 
 152 
 
SATELLITE III 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XI continued Values at Epoch of Mean Longitude and the Arguments 
 
 H 
 
 '5 
 
 16 
 
 17 
 
 18 
 
 '9 
 
 20 
 
 21 
 
 22 
 
 *3 
 
 4 
 
 *5 
 
 L 
 
 M 
 
 a 
 
 N 
 
 
 
 P 
 
 Q 
 
 R 
 
 s 
 
 T 
 
 u 
 
 V 
 
 d 
 
 d 
 
 d 
 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 I39-57 
 
 63-07 
 
 27I6-0 
 
 1900O 
 
 4-2127 5 
 
 0-89 
 
 0-589 
 
 0-13 
 
 4-II97 
 
 472 
 
 3-I94 
 
 O'2 
 
 22-27 
 
 428-07 
 
 3O8n 
 
 1901-O 
 
 4-33056 
 
 ''3 
 
 0732 
 
 0-25 
 
 4-2884 
 
 5-08 
 
 3-325 
 
 6-3 
 
 SSyz? 
 
 307-48 
 
 3446-4 
 
 1902O 
 
 4-44837 
 
 1-36 
 
 0-875 
 
 0-38 
 
 4'4570 
 
 5 '43 
 
 3-456 
 
 5-2 
 
 269-97 
 
 186-89 
 
 38II-6 
 
 1 903 
 
 4-56617 
 
 i -60 
 
 I-Oig 
 
 0-50 
 
 4-6257 
 
 579 
 
 3-586 
 
 4'i 
 
 152-66 
 
 66-30 
 
 4176-6 
 
 *1904'O 
 
 4-68398 
 
 1-84 
 
 I-I62 
 
 0-63 
 
 47943 
 
 6-14 
 
 3717 
 
 3-0 
 
 36-36 
 
 432-30 
 
 209-9 
 
 1 9050 
 
 5-80179 
 
 3-07 
 
 2-305 
 
 i-75 
 
 5-9630 
 
 0-35 
 
 4-848 
 
 2-9 
 
 401-36 
 
 3H7I 
 
 5747 
 
 1 906 
 
 5-91960 
 
 3'3' 
 
 2-448 
 
 1-88 
 
 6-1316 
 
 0-70 
 
 4'979 
 
 1-8 
 
 284-06 
 
 I9I-I2 
 
 939-5 
 
 1907-O 
 
 6-03740 
 
 3'55 
 
 2-592 
 
 2-OO 
 
 6-3003 
 
 ro6 
 
 5-1 10 
 
 0-7 
 
 16676 
 
 70-53 
 
 1 304-4 
 
 + 19080 
 
 6-15521 
 
 0'2 I 
 
 2735 
 
 2-12 
 
 6-4690 
 
 1-41 
 
 5-240 
 
 6-8 
 
 50-46 
 
 436-53 
 
 1670-4 
 
 1 909 
 
 o-i 1846 
 
 1-44 
 
 O-3OI 
 
 3^5 
 
 0-4841 
 
 277 
 
 6-371 
 
 67 
 
 415-46 
 
 3I5-94 
 
 2035-4 
 
 191OO 
 
 0-23627 
 
 1-68 
 
 0-444 
 
 3-37 
 
 0-6527 
 
 3'i* 
 
 6-502 
 
 5-6 
 
 298-15 
 
 I95-35 
 
 2400-6 
 
 1911 
 
 0-35408 
 
 1-92 
 
 0-588 
 
 3-50 
 
 0-8214 
 
 3-48 
 
 6-633 
 
 4'5 
 
 180-85 
 
 7476 27657 
 
 *1912'O 
 
 0-47189 
 
 2-15 
 
 0731 
 
 0-O4 
 
 0-9900 
 
 3-83 
 
 6-764 
 
 3'4 
 
 64-55 
 
 44076 
 
 3131-8 
 
 1913O 
 
 1-58969 
 
 3'39 
 
 1-874 
 
 I-I7 
 
 2-1587 
 
 5-19 
 
 0-740 
 
 3'3 
 
 429-55 
 
 3ZO-I7 
 
 3496-8 
 
 1914-O 
 
 I-70750 
 
 0-05 
 
 2-017 
 
 I -2 9 
 
 2-3274 
 
 S'54 
 
 0-871 
 
 2-3 
 
 312-25 
 
 199-58 
 
 3861-6 
 
 19150 
 
 I-8253I 
 
 0-28 
 
 2-161 
 
 I-42 
 
 2-4960 
 
 5-90 
 
 PC02 
 
 I'2 
 
 i94'95 
 
 78-99 
 
 4226-4 
 
 -19160 
 
 I-943I2 
 
 0-52 
 
 2-304 
 
 '54 
 
 2-6647 
 
 6-25 
 
 I-I32 
 
 O'l 
 
 78-65 
 
 444-99 
 
 259-5 
 
 19170 
 
 3-06092 
 
 ! 7 6 
 
 3-447 
 
 2-6 7 
 
 3-8333 
 
 0-46 
 
 2-263 
 
 7-i 
 
 443'65 
 
 324-40 
 
 624-5 
 
 19180 
 
 3"'7873 
 
 1-99 
 
 O-OI3 
 
 279 
 
 4-0020 
 
 0-8 1 
 
 2-394 
 
 6-1 
 
 326-34 
 
 203-81 
 
 989-6 
 
 1919-O 
 
 3-29654 
 
 2-23 
 
 0-156 
 
 2- 9 I 
 
 4-1707 
 
 1-17 
 
 2-525 
 
 5-0 
 
 209-04 
 
 83-22 
 
 '354'8 
 
 '19200 
 
 3'4'435 
 
 2-47 
 
 0-300 
 
 3-04 
 
 4-3393 
 
 1-52 
 
 2-656 
 
 3'9 
 
 92-74 
 
 449-22 
 
 1721-1 
 
 1921 O 
 
 4-53215 
 
 0-13 
 
 J-443 
 
 0-59 
 
 5-5080 
 
 2-88 
 
 3786 
 
 3-8 
 
 457-74 
 
 328-63 
 
 2086-5 
 
 1922 
 
 4-64996 
 
 0-36 
 
 1-586 
 
 0-71 
 
 5-6766 
 
 3-23 
 
 3'9'7 
 
 2-7 
 
 34"44 
 
 208-05 
 
 2451-1 
 
 1 923 
 
 4-76777 
 
 0-60 
 
 1-729 
 
 0-83 
 
 5-8453 
 
 3-59 
 
 4-048 
 
 1-6 
 
 223-14 
 
 87-46 
 
 2816-0 
 
 *1924'O 
 
 4-88558 
 
 0-84 
 
 1-873 
 
 0-96 
 
 6-0139 
 
 3-94 
 
 4-179 
 
 0-5 
 
 106-83 
 
 453-4 6 
 
 3'8i-3 
 
 1925 
 
 6-00338 
 
 2-07 
 
 3-016 
 
 2-08 
 
 0-0290 
 
 5-30 
 
 5'3'o 
 
 0-4 
 
 471-83 
 
 332-87 
 
 3545'S 
 
 1 926-O 
 
 6-12119 
 
 2-31 
 
 3''59 
 
 2-21 
 
 0-1977 
 
 5-65 
 
 5-440 
 
 6-5 
 
 354'53 
 
 212-28 
 
 3909-8 
 
 1 9270 
 
 6-23900 
 
 2-55 
 
 3-302 
 
 2-33 
 
 0-3664 
 
 6-01 
 
 5-57I 
 
 5'4 
 
 237-23 
 
 91-69 4274-5 
 
 * 19280 
 
 6-35681 
 
 278 
 
 3-446 
 
 2-46 
 
 0-5350 
 
 6-36 
 
 5-702 
 
 4'3 
 
 120-93 
 
 457-69 308-0 
 
 1 929-0 
 
 0-32006 
 
 0-44 
 
 I'OI2 
 
 o-oo 
 
 1-7037 
 
 0-57 
 
 6-833 
 
 4'2 
 
 3-63 
 
 337-10 
 
 673-6 
 
 1 93O-O 
 
 0-43787 
 
 0-68 
 
 I-I55 
 
 0-13 
 
 1-8723 
 
 0-92 
 
 6-964 
 
 3'i 
 
 368-63 
 
 216-51 
 
 1039-3 
 
 1 931 
 
 0-55568 
 
 0-92 
 
 I-298 
 
 0-25 
 
 2-0410 
 
 1-28 
 
 7-094 
 
 2'0 
 
 251-32 
 
 95-92 
 
 1405-0 
 
 -19320 
 
 0-67348 
 
 1-15 
 
 I-44I 
 
 0-38 2-2097 
 
 1-63 
 
 0-071 
 
 0- 9 
 
 135-02 
 
 461-92 
 
 1771-6 
 
 19330 
 
 1-79129 
 
 2-39 
 
 2-585 
 
 1-5 : 3-3783 
 
 2-99 
 
 1-202 
 
 0-8 
 
 17-72 
 
 341'33 
 
 2136-8 
 
 19340 
 
 1-90910 
 
 2-63 
 
 2728 
 
 1-62 
 
 3-5470 
 
 3-34 
 
 1-333 
 
 6-9 
 
 382-72 
 
 220-74 
 
 2501-6 
 
 1935 
 
 2-02691 
 
 2-86 
 
 2-871 
 
 '75 
 
 3-7156 
 
 370 
 
 1-463 
 
 5'8 
 
 265-42 
 
 IOO-I5 
 
 2866-0 
 
 -1936 
 
 2-14471 
 
 3-10 
 
 3-OI4 
 
 1-87 
 
 3-8843 
 
 4-05 
 
 ''594 
 
 47 
 
 149-12 
 
 466-15 
 
 3231-2 
 
 1 937'O 
 
 3-26252 
 
 0-76 
 
 0-581 
 
 3-00 
 
 5-0529 
 
 5 ' 4 I 
 
 2725 
 
 4-6 
 
 31-81 
 
 345^6 
 
 , 3595-4 
 
 1 938 
 
 3-38033 
 
 roo 
 
 0724 
 
 3-12 
 
 5-2216 
 
 576 
 
 2-856 
 
 3'5 
 
 396-81 
 
 224-97 
 
 3960-0 
 
 1 939 O 
 
 3-49814 
 
 1-23 
 
 0-867 
 
 3-25 
 
 5-3903 
 
 6-12 
 
 2-986 
 
 2'5 
 
 279-51 
 
 104-38 
 
 4324-9 
 
 *194OO 
 
 3-6i594 
 
 "47 
 
 roio 
 
 3-37 
 
 5-5589 
 
 6-47 
 
 3-ii7 
 
 i"4 
 
 163-21 
 
 47'3 8 
 
 3587 
 
 1 941 O 
 
 473375 
 
 2-70 
 
 2-154 
 
 0-92 
 
 6-7276 
 
 0-68 
 
 4-248 
 
 I- 3 
 
 45'9 ! 
 
 34979 
 
 724-3 
 
 1 942 
 
 4-85156 
 
 2-94 
 
 2-297 
 
 1-04 
 
 6-8962 
 
 1-03 
 
 4-379 
 
 O'2 
 
 410-91 
 
 229-20 
 
 1089-8 1 943-O 
 
 4-96937 
 
 3-18 
 
 2-440 
 
 1-16 
 
 7-0649 
 
 1-39 
 
 4-510 
 
 3 
 
 293-61 
 
 108-61 
 
 14551 *19440 
 
 5-08717 
 
 3-4i 
 
 2-583 
 
 1-29 
 
 0-0800 
 
 174 
 
 4-640 
 
 5-2 
 
 7TJ' 
 
 474-61 
 
 1821-1 19450 
 
 6-20498 
 
 1-07 
 
 0-149 
 
 2-41 
 
 1-2487 
 
 3-10 
 
 5771 
 
 5-1 
 
 6o - oo 
 
 354-01 
 
 2185-9 1 9*6-O 
 
 6-32278 
 
 1-31 
 
 0-293 
 
 2-54 
 
 i'4'73 
 
 3'45 
 
 5-902 
 
 4-0 
 
 42*5 -oo 
 
 233H3 
 
 2550-5 1 947-O 
 
 6-44060 
 
 '55 
 
 0-436 
 
 2-66 
 
 1-5860 
 
 3-81 
 
 6-033 
 
 6s 
 
 2-9 
 
 307-70 
 
 112-84 
 
 2915-2 
 
 -19480 
 
 6-55840 
 
 1-78 
 
 0-579 
 
 279 
 
 17546 
 
 4-16 
 
 164 
 
 i -8 
 
 191-40 
 
 478-84 
 
 3281-0 
 
 1 949-0 
 
 0-52166 
 
 3-02 
 
 1-722 
 
 o-33 
 
 2-9233 
 
 5-52 
 
 0-140 
 
 7 
 
 74-10 
 
 358-25 
 
 3646-0 
 
 1 950 O 
 
 0-63947 
 
 3-26 
 
 1-866 
 
 0-46 
 
 3-0919 
 
 5-87 
 
 0-271 
 
 o'6 
 
 482-30 
 
 485-59 
 
 4332-6 
 
 Periods 
 
 7-'5455 
 
 3-58 
 
 3-577 
 
 3-58 
 
 7-1536 
 
 7-15 
 
 7'i54 
 
 7-2 
 
 To obtain the True Longitude, reduced to Jupiter's Orbit, the entries of Column 2 must be supplemented by the equations of Tables XII-XXXII. 
 
 '53 
 
SATELLITE III 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XI continued Values at Epoch of Mean Longitude and the Arguments 
 
 I 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 IO 
 
 ii 
 
 12 
 
 '3 
 
 Date 
 
 Mean Long. 
 
 A 
 
 B 
 
 c 
 
 D 
 
 E 
 
 F 
 
 G 
 
 H 
 
 1 
 
 J 
 
 K 
 
 
 O 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 1 9500 
 
 348-41283 
 
 5-80851 
 
 0795 
 
 0-24 
 
 4-7954 
 
 0'6l56 
 
 6*79 
 
 3*90 
 
 370 
 
 2-O6 
 
 243 
 
 361*87 
 
 1 951 
 
 354-35373 
 
 4-16030 
 
 2*621 
 
 O*O2 
 
 4*8630 
 
 0*7199 
 
 3-48 
 
 0-55 
 
 2-66 
 
 '5'95 
 
 2O6 
 
 269*19 
 
 *1952O 
 
 0-29462 
 
 2-51209 
 
 4'447 
 
 6*95 
 
 4-9307 
 
 0-8242 
 
 0*16 
 
 4 - '5 
 
 1*62 
 
 29*85 
 
 170 
 
 176*52 
 
 1 9530 
 
 56-55316 
 
 1-86388 
 
 7^73 
 
 0*57 
 
 5-99 8 3 
 
 1-9285 
 
 4-80 
 
 1*80 
 
 1*58 
 
 44-74 
 
 135 
 
 84*84 
 
 1 954 
 
 62-49406 
 
 0-21567 
 
 9-098 
 
 0*34 
 
 6-0660 
 
 2-0328 
 
 1-48 
 
 5-4 
 
 0*54 
 
 8-48 
 
 99 
 
 449-84 
 
 1 9550 
 
 68-43496 
 
 5-61838 
 
 10-924 
 
 0*12 
 
 6*1336 
 
 2*I37I 
 
 5-12 
 
 2*05 
 
 6*67 
 
 22*37 
 
 63 
 
 357-I7 
 
 *1956 O 
 
 74-37585 
 
 3-970I7 
 
 O-227 
 
 7*06 
 
 6-2013 
 
 2-2414 
 
 i -80 
 
 5-65 
 
 5-63 
 
 36*27 
 
 27 
 
 264*49 
 
 19570 
 
 I30-63439 
 
 3-32196 
 
 3-053 
 
 0-67 
 
 0*1134 
 
 3-3457 
 
 6-44 
 
 3-30 
 
 5-59 
 
 i-oo 
 
 393 
 
 I72*82 
 
 1 958-0 
 
 136-57529 
 
 I-67375 
 
 4-8 7 8 
 
 0*45 
 
 o- 1 8 1 1 
 
 3-4500 
 
 3*12 
 
 6*90 
 
 4-55 
 
 14-90 
 
 356 
 
 80*14 
 
 1 959 O 
 
 142-51618 
 
 0-02554 
 
 6704 
 
 0*22 
 
 0*2487 
 
 3-5544 
 
 6*76 
 
 3-55 
 
 3-5I 
 
 28*79 
 
 320 
 
 445'H 
 
 "19600 
 
 148-45708 
 
 5-42826 
 
 8-530 
 
 0*00 
 
 0-3164 
 
 3^587 
 
 3-44 
 
 0*20 
 
 2*47 
 
 42-68 
 
 284 
 
 352-47 
 
 1 961 
 
 204-71562 
 
 478005 
 
 1I*356 
 
 0-78 
 
 1*3840 
 
 47630 
 
 1-13 
 
 4-80 
 
 2*43 
 
 7-42 
 
 249 
 
 260*79 
 
 19620 
 
 210-65652 
 
 3-I3I83 
 
 0-658 
 
 o'55 
 
 I-45I7 
 
 4-8673 
 
 476 
 
 '45 
 
 ''39 
 
 21*31 
 
 213 
 
 168-12 
 
 19630 
 
 216-59741 
 
 1-48362 
 
 2*484 
 
 o-33 
 
 1*5193 
 
 4-97I6 
 
 '45 
 
 5*05 
 
 o*35 
 
 35*21 
 
 177 
 
 75-45 
 
 * 19640 
 
 222-53831 
 
 6-88634 
 
 4-3IO 
 
 0*11 
 
 1*5870 
 
 5-0759 
 
 5*08 
 
 1*70 
 
 6*48 
 
 49*10 
 
 140 
 
 440*45 
 
 1 965 
 
 278-79685 
 
 6-23813 
 
 7*I36 
 
 0-88 
 
 2-6546 
 
 6* 1 802 
 
 2-77 
 
 6*30 
 
 6*44 
 
 13-84 
 
 105 
 
 348-77 
 
 1966 O 
 
 284-73775 
 
 4-58992 
 
 8*962 
 
 0*66 
 
 2*7223 
 
 6*2845 
 
 6-40 
 
 2*95 
 
 5-40 
 
 2773 
 
 69 
 
 256*10 
 
 19670 
 
 290-67864 
 
 2-94171 
 
 10*787 
 
 o-43 
 
 2-7899 
 
 6*3888 
 
 3-09 
 
 6-54 
 
 4-36 
 
 41*63 
 
 33 
 
 '63-42 
 
 '19680 
 
 296-61954 
 
 I-29350 
 
 0*090 
 
 0*21 
 
 2-8576 
 
 6-4931 
 
 6*72 
 
 3-i9 
 
 3-32 
 
 5-36 
 
 398 
 
 70-75 
 
 1969 
 
 352-87808 
 
 0-64529 
 
 2*916 
 
 0- 99 
 
 3"9252 
 
 0-4426 
 
 4*41 
 
 0-84 
 
 3-28 
 
 20-26 
 
 363 
 
 43675 
 
 1 970-0 
 
 358-81898 
 
 6-04800 
 
 4'74 2 
 
 0-76 
 
 3-9929 
 
 0*5469 
 
 1*09 
 
 4-44 
 
 2*24 
 
 34->5 
 
 327 
 
 344- c 7 
 
 1971-O 
 
 4759 8 7 
 
 4-39979 
 
 6-567 
 
 0*54 
 
 4*0605 
 
 0*6512 
 
 473 
 
 1-09 
 
 I*2O 
 
 48*05 
 
 291 
 
 251-40 
 
 *1 972*O 
 
 10-70077 
 
 275158 
 
 8-393 
 
 0-32 
 
 4-1282 
 
 7555 
 
 2*41 
 
 4*69 
 
 0*16 
 
 11*78 
 
 254 
 
 158*72 
 
 1 9730 
 
 66-95931 
 
 2-10337 
 
 11-219 
 
 1-09 
 
 5-1958 
 
 1*8598 
 
 6*05 
 
 2-34 
 
 0-12 
 
 26*68 
 
 219 
 
 67-05 
 
 1 9740 
 
 72-90021 
 
 0-45516 
 
 0-522 
 
 0*87 
 
 5-2635 
 
 1-9641 
 
 273 
 
 5-94 
 
 6-25 
 
 40*57 
 
 183 
 
 432-05 
 
 19750 
 
 78-84110 
 
 5-85788 
 
 2-347 
 
 0*64 
 
 5*3312 
 
 2*0685 
 
 6-37 
 
 2*59 
 
 5*21 
 
 4-3i 
 
 '47 
 
 339-37 
 
 *1976O 
 
 84-78200 
 
 4-20967 
 
 4-173 
 
 0-41 
 
 5-39 8 8 
 
 2-1728 
 
 3*05 
 
 6*19 
 
 4-17 
 
 18*20 
 
 in 
 
 246-70 
 
 19770 
 
 141*04054 
 
 3-56146 
 
 6*999 
 
 I*2O 
 
 6-4665 
 
 3-277I 
 
 0*74 
 
 3-84 
 
 4''3 
 
 33*10 
 
 76 
 
 155-02 
 
 1 9780 
 
 146-98144 
 
 I-91324 
 
 8*825 
 
 0-97 
 
 6-534' 
 
 3-3814 
 
 4'37 
 
 0*49 
 
 3-09 
 
 46*99 
 
 39 
 
 62*35 
 
 19790 
 
 152-92233 
 
 0-26503 
 
 10*651 
 
 0-75 
 
 6-60 1 8 
 
 3-4857 
 
 i -06 
 
 4-09 
 
 2*05 
 
 10-73 
 
 3 
 
 427-35 
 
 *198OO 
 
 158-86323 
 
 5-66775 
 
 12-476 
 
 0*52 
 
 6*6694 
 
 3*5900 
 
 4*69 
 
 0*74 
 
 rot 
 
 24-62 
 
 368 
 
 334-67 
 
 1 981 
 
 215-12177 
 
 5-01954 
 
 2*779 
 
 1-30 
 
 0*5815 
 
 4-6943 
 
 2-38 
 
 5'34 
 
 0-97 
 
 39-52 
 
 333 
 
 243*00 
 
 1 982 O 
 
 221-06267 
 
 3-37'33 
 
 4*605 
 
 i -08 
 
 0*6492 
 
 4*7986 
 
 6-01 
 
 1-99 
 
 7-10 
 
 3-25 
 
 297 
 
 150*32 
 
 1 983 
 
 227-00356 
 
 1-72312 
 
 6-431 
 
 0-85 
 
 0*7168 
 
 4-9029 
 
 2-70 
 
 5-59 
 
 6*06 
 
 17-15 
 
 261 
 
 57-65 
 
 *1984-O 
 
 232-94446 
 
 0-07491 
 
 8-256 
 
 0-63 
 
 0*7845 
 
 5*0072 
 
 6*33 
 
 2-24 
 
 5*02 
 
 31-04 
 
 225 
 
 422-65 
 
 1 985 
 
 289*20300 
 
 6-47762 
 
 11*082 
 
 1-41 
 
 1*8521 
 
 6*1115 
 
 4-02 
 
 6-84 
 
 4*98 
 
 45-93 
 
 189 
 
 330*97 
 
 1 986 O 
 
 295-14390 
 
 4*82941 
 
 0-385 
 
 1*18 
 
 1*9198 
 
 6-2158 
 
 0*70 
 
 3-49 
 
 3'94 
 
 9-67 
 
 '53 
 
 238*30 
 
 1987-0 
 
 301-08479 
 
 3-18120 
 
 2*211 
 
 0-96 
 
 1*9874 
 
 6*3202 
 
 4^4 
 
 0*13 
 
 2*90 
 
 23-57 
 
 117 
 
 145*62 
 
 *1 988 O 
 
 307-02569 
 
 1-53299 
 
 4*036 
 
 73 
 
 2*0551 
 
 6-4245 
 
 1*02 
 
 373 
 
 1-86 
 
 37-46 
 
 81 
 
 52*95 
 
 1 9890 
 
 3-28423 
 
 0-88478 
 
 6*862 
 
 1*51 
 
 3*1228 
 
 0-3739 
 
 5-66 
 
 1*38 
 
 1*82 
 
 2-20 
 
 46 
 
 4i8-95 
 
 19900 
 
 9-22513 
 
 6-28750 
 
 8*688 
 
 1*29 
 
 3*1904 
 
 0-4783 
 
 2'34 
 
 4*98 
 
 0*78 
 
 16-09 
 
 IO 
 
 326*27 
 
 1991-0 
 
 15-16602 
 
 4-63929 
 
 10-514 
 
 1-06 
 
 3*2581 
 
 0*5826 
 
 5- 9 8 
 
 1-63 
 
 6*91 
 
 29-98 
 
 375 
 
 233*60 
 
 *1992O 
 
 21-10692 
 
 2-99108 
 
 12-340 
 
 0*84 
 
 3'3 2 57 
 
 0*6869 
 
 2*66 
 
 5-23 
 
 5-87 
 
 43*88 
 
 339 
 
 140*92 
 
 1 993 
 
 77-36546 
 
 2-34287 
 
 2*642 
 
 1-61 
 
 4"3934 
 
 1*7912 
 
 o*35 
 
 2-88 
 
 5-83 
 
 8*61 
 
 33 
 
 49-25 
 
 1 994 
 
 83-30636 
 
 0-69465 
 
 4*468 
 
 i-39 
 
 4*4610 
 
 1-8955 
 
 3-98 
 
 6*48 
 
 4-79 
 
 22-51 
 
 267 
 
 414*25 
 
 19950 
 
 89-24725 
 
 6-09737 
 
 6-294 
 
 1-17 
 
 4*5287 
 
 1*9998 
 
 0*67 
 
 3-I3 
 
 375 
 
 36-40 
 
 231 
 
 321*58 
 
 *1996 
 
 95-18815 
 
 4-44916 
 
 8*120 
 
 0-94 
 
 4"59 6 3 
 
 2 104! 
 
 4*30 
 
 673 
 
 2*71 
 
 0-14 
 
 "95 
 
 228*90 
 
 1997 
 
 151-44669 
 
 3-80095 
 
 10*945 
 
 1-72 
 
 5*6640 
 
 3*2084 
 
 1-99 
 
 4-38 
 
 2-67 
 
 I5- 3 
 
 1 60 
 
 137-23 
 
 1 998 
 
 I57-38759 
 
 2-15274 
 
 0-248 
 
 1-50 
 
 5*7316 
 
 3-3J27 
 
 5*62 
 
 1*03 
 
 1*63 
 
 28*93 
 
 124 
 
 44-55 
 
 1 999-0 
 
 163-32848 
 
 "5453 
 
 2*074 
 
 1-27 
 
 57993 
 
 3-4I70 
 
 2*31 
 
 4-63 
 
 0*59 
 
 42*82 
 
 87 
 
 409-55 
 
 *20OOO 
 
 169-26939 
 
 5-90724 
 
 3-900 
 
 1*05 
 
 5*8669 
 
 3-52I3 
 
 5^4 
 
 1*28 
 
 6-72 
 
 6*56 51 
 
 316*88 
 
 Periods 
 
 
 7-05093 
 
 12-523 
 
 7*16 
 
 7-1555 
 
 7*I548 
 
 6*95 
 
 6*95 
 
 7*18 
 
 50*16 401 
 
 457-67 
 
 
 
 
 
 
 
 
 
 
 
 
 
 Constant applied to entries in Column i : - o'47ooo. 
 '54 
 
XI continued 
 
 SATELLITE III 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 Values at Epoch of Mean Longitude and the Arguments 
 
 '4 
 
 15 
 
 16 
 
 '7 
 
 it 
 
 '9 
 
 20 
 
 2 I 
 
 22 
 
 23 
 
 M 
 
 2S 
 
 L 
 
 M 
 
 a 
 
 N 
 
 
 
 P 
 
 Q 
 
 R 
 
 3 
 
 T 
 
 u 
 
 V 
 
 d 
 
 d 
 
 d 
 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 74-10 
 
 358*2S 
 
 3646-0 
 
 1 9500 
 
 0-63947 
 
 3*26 
 
 1*866 
 
 0-46 
 
 3-0919 
 
 5-8 7 
 
 0-27I 
 
 0-6 
 
 439*10 
 
 237-66 
 
 40II-3 
 
 1951 
 
 075727 
 
 3-49 
 
 2*009 
 
 0*58 
 
 3*2606 
 
 6*23 
 
 0-402 
 
 67 
 
 321-80 
 
 II7-07 
 
 44*0 
 
 *1952'O 
 
 0-87508 
 
 0-I 5 
 
 2*152 
 
 071 
 
 3-4293 
 
 6-58 
 
 0*533 
 
 5-6 
 
 205*49 
 88-19 
 
 362-48 
 
 410*4 
 
 775-6 
 
 1 9530 
 1 954-0 
 
 1-99289 
 2-IIO70 
 
 1-39 
 1-63 
 
 3-29S 
 3-439 
 
 1-83 
 !- 9 5 
 
 4*7666 
 
 079 
 I-I4 
 
 1-663 
 I- 794 
 
 5-5 
 4'4 
 
 453-19 
 
 241-89 
 
 1140*7 
 
 1 955 
 
 2-22850 
 
 1-86 
 
 0*005 
 
 2-08 
 
 3-935* 
 
 I-JO 
 
 1-925 
 
 3'3 
 
 335-89 
 
 I2I-30 
 
 1505-6 
 
 '1956-0 
 
 2-34631 
 
 2-10 
 
 0-148 
 
 2-20 
 
 5*1039 
 
 I*8 5 
 
 2-056 
 
 2-2 
 
 219-59 
 
 171 
 
 1871-4 
 
 19570 
 
 3-464I2 
 
 3-34 
 
 1*291 
 
 3-33 
 
 6-2726 
 
 3*21 
 
 3-187 
 
 2*1 
 
 102-29 
 
 36671 
 
 2236*0 
 
 1 958-0 
 
 3-58193 
 
 0*00 
 
 1-435 
 
 
 6*4412 
 
 3-56 
 
 3'3'7 
 
 1*0 
 
 467-29 
 
 246-12 
 
 2600*8 
 
 1 959*0 
 
 3-69973 
 
 0*23 
 
 I-578 
 
 o-oo 
 
 6-6099 
 
 3-92 
 
 3-448 
 
 7*1 
 
 349-98 
 
 I25*53 
 
 2965*8 
 
 "19600 
 
 3-8I754 
 
 0*47 
 
 1*721 
 
 O'I2 
 
 67785 
 
 4'*7 
 
 3-579 
 
 6-0 
 
 233-68 
 
 5-94 
 
 3332-o 
 
 1961 
 
 4-93535 
 
 171 
 
 2*864 
 
 I-2 5 
 
 0*7936 
 
 5*63 
 
 4-710 
 
 5'9 
 
 116-38 
 
 370-94 
 
 3697-2 
 
 1 962 
 
 5-05316 
 
 1-94 
 
 3-007 
 
 I'37 
 
 0-9623 
 
 5*98 
 
 4-841 
 
 4*8 
 
 481*38 
 
 250*35 
 
 4062-3 
 
 1 9630 
 
 5-17096 
 
 2-18 
 
 3-151 
 
 1-50 
 
 I-I3IO 
 
 6-34 
 
 4-971 
 
 37 
 
 364*08 
 
 129-76 
 
 96-7 
 
 *19640 
 
 5-28877 
 
 2-42 
 
 3-294 
 
 1-62 
 
 1-2996 
 
 6*69 
 
 5-102 
 
 2*7 
 
 247-78 
 
 IO-I7 
 
 460-5 
 
 1 965*0 
 
 6-40658 
 
 0-08 
 
 0-860 
 
 2*74 
 
 2-4683 
 
 0-90 
 
 6-233 
 
 2-6 
 
 130*48 
 
 375-17 
 
 825-3 
 
 1 966*0 
 
 6-52439 
 
 0*31 
 
 1-003 
 
 2-87 
 
 2-6369 
 
 1-25 
 
 6-364 
 
 i'5 
 
 I3-I7 
 
 254*59 
 
 1 190-3 
 
 19670 
 
 6-64219 
 
 0-55 
 
 1*147 
 
 2-99 
 
 2-8056 
 
 1*61 
 
 6-495 
 
 0*4 
 
 378-17 
 
 I34-OO 
 
 I555-0 
 
 "19680 
 
 6-76000 
 
 0*79 
 
 1-290 
 
 3-12 
 
 2-9742 
 
 1-96 
 
 6-625 
 
 6*5 
 
 261-87 
 
 t4-4I 
 
 1921-1 
 
 1 969 
 
 0-72326 
 
 2'O2 
 
 2-433 
 
 0-66 
 
 4*1429 
 
 3'32 
 
 0-602 
 
 6*4 
 
 144-57 
 
 379'4I 
 
 2286*3 
 
 19700 
 
 0-84106 
 
 2*26 
 
 2-576 
 
 079 
 
 4*3Il6 
 
 3-67 
 
 0-733 
 
 5'3 
 
 27-27 
 
 258-82 
 
 2651-5 
 
 1971-0 
 
 0-95887 
 
 2*49 
 
 2-720 
 
 0-91 
 
 4*4802 
 
 4-03 
 
 0*863 
 
 4'2 
 
 392-27 
 
 I38-23 
 
 3016-6 
 
 *1 972*0 
 
 I-07668 
 
 273 
 
 2-863 
 
 1-04 
 
 4-6489 
 
 
 0-994 
 
 3*1 
 
 2 75-97 
 
 18-64 
 
 3382*7 
 
 1973*0 
 
 2*19449 
 
 o'39 
 
 0-429 
 
 2*16 
 
 5*8175 
 
 574 
 
 2-125 
 
 3*o 
 
 158-66 
 
 383-64 
 
 3747'S 
 
 19740 
 
 2-3I229 
 
 0-63 
 
 0-572 
 
 2*29 
 
 5-9862 
 
 6-09 
 
 2-256 
 
 1-9 
 
 41-36 
 
 263-05 
 
 4112-2 
 
 1 975 
 
 2-43010 
 
 0-86 
 
 0-715 
 
 2*41 
 
 6*1548 
 
 6'45 
 
 2*387 
 
 0-8 
 
 406-36 
 
 142-46 
 
 H4-4 
 
 *19760 
 
 2-5479I 
 
 I'lO 
 
 0-859 
 
 2-53 
 
 6-3235 
 
 6-80 
 
 2*517 
 
 6-9 
 
 290-06 
 
 22-87 
 
 510*8 
 
 19770 
 
 3*66572 
 
 2'34 
 
 2*002 
 
 0*08 
 
 0-3386 
 
 roi 
 
 3*648 
 
 6-8 
 
 172-76 
 
 387-87 
 
 875-1 
 
 1 978 
 
 378352 
 
 2*57 
 
 2*145 
 
 0*2 1 
 
 0*5073 
 
 1-36 
 
 3779 
 
 57 
 
 55H6 
 
 267-28 
 
 1240-2 
 
 19790 
 
 3-9 I33 
 
 2-81 
 
 2-288 
 
 0-33 
 
 0*6759 
 
 1-72 
 
 3*910 
 
 4*6 
 
 420-46 
 
 146-69 
 
 1605-6 
 
 * 19800 
 
 4-01914 
 
 3-05 
 
 2-432 
 
 0*45 
 
 0*8446 
 
 2-07 
 
 4-041 
 
 3'5 
 
 304-15 
 
 27-10 
 
 1972-0 
 
 1 981 
 
 5-I3695 
 
 0-71 
 
 3-575 
 
 1*58 
 
 2*OI32 
 
 3 '43 
 
 5*171 
 
 3'4 
 
 186*85 
 
 392-IO 
 
 2237-3 
 
 19820 
 
 5-25475 
 
 0-94 
 
 0-141 
 
 1-70 
 
 2*1819 
 
 379 
 
 5*302 
 
 2-3 
 
 69-55 
 
 271-51 
 
 2702-2 
 
 19830 
 
 5-37256 
 
 1-18 
 
 0*284 
 
 1-83 
 
 2*3506 
 
 4-H 
 
 5-433 
 
 1*2 
 
 434-55 
 
 I50-92 
 
 3066-6 
 
 *1 984*0 
 
 5-49037 
 
 1*42 
 
 0*428 
 
 195 
 
 2-5I92 
 
 4-49 
 
 5-564 
 
 O'l 
 
 318-25 
 
 3f33 
 
 3431-9 
 
 19850 
 
 6-6o8l8 
 
 2-65 
 
 1*571 
 
 3"o8 
 
 
 5*86 
 
 6*695 
 
 o-i 
 
 200-95 
 
 396-33 
 
 3796-0 
 
 1 986*0 
 
 6-72598 
 
 2*89 
 
 1*714 
 
 3*20 
 
 3-8565 
 
 6*21 
 
 6*825 
 
 6*1 
 
 83-64 
 
 27574 
 
 4160-3 
 
 19870 
 
 6-84379 
 
 3*13 
 
 1*857 
 
 
 4-0252 
 
 6*56 
 
 6*956 
 
 5-0 
 
 448-64 
 
 155-I5 
 
 192*6 
 
 *1 988*0 
 
 6-96160 
 
 3-36 
 
 2-OOI 
 
 3-45 
 
 4-->939 
 
 6-92 
 
 7*087 
 
 4*0 
 
 332-34 
 
 35-56 
 
 558*8 
 
 1 989 
 
 0-92485 
 
 i -02 
 
 3-I44 
 
 I-OO 
 
 5-3625 
 
 1*12 
 
 1*063 
 
 3"9 
 
 215-04 
 
 400-56 
 
 924-3 
 
 1 990 
 
 1-04266 
 
 1*26 
 
 3-287 
 
 1*12 
 
 5-5312 
 
 1*48 
 
 1*194 
 
 2*8 
 
 9774 
 
 279^7 
 
 1290-1 
 
 1991 
 
 1*16047 
 
 1-50 
 
 3-430 
 
 1*24 
 
 5*6998 
 
 I-8 3 
 
 1-325 
 
 17 
 
 462-74 
 
 159-38 
 
 1655-8 
 
 '1992 
 
 1-27828 
 
 1*73 
 
 3-573 
 
 1-37 
 
 5-8685 
 
 2-19 
 
 1-456 
 
 0-6 
 
 34 6 '44 
 
 39-79 
 
 2022-3 
 
 19930 
 
 2-39608 
 
 2-97 
 
 1*140 
 
 2*49 
 
 7-0372 
 
 3'54 
 
 2-587 
 
 0-5 
 
 229-14 
 
 404-79 
 
 2387-4 
 
 1 994*0 
 
 2-51389 
 
 3-21 
 
 1-283 
 
 2-62 
 
 0*0522 
 
 3-90 
 
 2717 
 
 6-6 
 
 111-83 
 
 284-20 
 
 2752-1 
 
 1995 
 
 2-63170 
 
 
 1*426 
 
 2*74 
 
 0*2209 
 
 4-25 
 
 2-848 
 
 5'5 
 
 476-83 
 
 163-61 
 
 3116-4 
 
 -1996 
 
 274951 
 
 o-io 
 
 1-569 
 
 2*87 
 
 0-3896 
 
 4-6, 
 
 2-979 
 
 4'4 
 
 360*53 
 
 44-02 
 
 348i-6 
 
 1 997*0 
 
 3-86 7 3I 
 
 "34 
 
 2*713 
 
 0-41 
 
 1*5582 
 
 5-96 
 
 4-110 
 
 +'3 
 
 243-23 
 
 409-02 
 
 384S-9 
 
 1 9980 
 
 3'9 8 5'2 
 
 i-57 
 
 2-856 
 
 0-54 
 
 1*7269 
 
 6-32 
 
 4-241 
 
 3-2 
 
 J25'93 
 
 288-43 
 
 4210*5 
 
 19990 
 
 4-10293 
 
 1-81 
 
 2*999 
 
 0-66 
 
 1*8955 
 
 6-67 
 
 4-37I 
 
 2*1 
 
 8-63 
 
 167*84 
 
 242-9 
 
 '20000 
 
 4*22074 
 
 2*05 
 
 3-142 
 
 0*79 
 
 2-0642 
 
 7-03 
 
 4-502 
 
 i-o 
 
 482-30 
 
 485-59 
 
 4332-6 
 
 Periods 
 
 7-15455 
 
 3-58 
 
 3-577 
 
 3-58 
 
 7-I536 
 
 7-15 
 
 7-I54 
 
 7'2 
 
 To obtain the True Longitude, reduced to Jupiter's Orbit, the entries of Column t must be supplemented by the equations of Tables XII-XXXII. 
 
 '55 
 
XII 
 
 SATELLITE III 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 Motions of Mean Longitude and the Arguments for Days 
 
 I 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 s 
 
 9 
 
 IO 
 
 ii 
 
 12 
 
 Day 
 
 Mean Long. 
 
 A 
 
 B 
 
 c 
 
 D 
 
 E 
 
 F 
 
 G 
 
 H 
 
 1 
 
 J a 
 
 
 
 
 d 
 
 d 
 
 d d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 Jan. 1 
 
 50-31765 
 
 i -ooooo 
 
 rooo 
 
 I -00 
 
 l-OOOO 
 
 l-OOOO 
 
 roo 
 
 i-oo 
 
 roo 
 
 roo 
 
 roo 
 
 2 
 
 100-63529 
 
 2'DOOOO 
 
 2'OOO 
 
 2-OO 
 
 2'OOOQ 
 
 2'OOQO 
 
 2'OO 
 
 2'OO 
 
 2"OO 
 
 2'00 
 
 2-OO 
 
 3 
 
 150-95294 
 
 3-OOOOO 
 
 3-000 
 
 3-OO 
 
 3-OOOO 
 
 3'OOQO 
 
 3'OO 
 
 3-00 
 
 3-OO 
 
 3-00 
 
 3-OO 
 
 4 
 
 201-27059 
 
 4-OOOOO 
 
 4"ooo 
 
 4-00 
 
 4-OOOO 
 
 4'QOOO 
 
 4-00 
 
 4'oo 
 
 4'00 
 
 4-00 
 
 4'OO 
 
 5 
 
 251-58823 
 
 5-OOOOO 
 
 5-000 
 
 J-OO 
 
 5-OOOO 
 
 5'OOOQ 
 
 5-00 
 
 5-00 
 
 5-OO 
 
 5-OO 
 
 5-00 
 
 6 
 
 301-90588 
 
 6-00000 
 
 6-000 
 
 6-00 
 
 6-0000 
 
 6'oooo 
 
 6-00 
 
 6-00 
 
 6 -00 
 
 6'oo 
 
 6-00 
 
 7 
 
 352-22352 
 
 7-00000 
 
 7-000 
 
 7-00 
 
 7-0000 
 
 7-0000 
 
 0-05 
 
 0-05 
 
 7-00 
 
 7-00 
 
 7-00 
 
 8 
 
 42-54117 
 
 0-94907 
 
 8-000 
 
 0-84 
 
 0-8445 
 
 0-8452 
 
 1-05 
 
 1-05 
 
 0-82 
 
 8-00 
 
 8-00 
 
 9 
 
 92-85882 
 
 1-94907 
 
 9-000 
 
 1-84 
 
 1-8445 
 
 1-8452 
 
 2-05 
 
 2-05 
 
 1-82 
 
 9-00 
 
 9-00 
 
 1O 
 
 143-17646 
 
 2-94907 
 
 lO'OOO 
 
 2-84 
 
 2-8445 
 
 2-8452 
 
 3'05 
 
 3-05 
 
 2-82 
 
 lO'OO 
 
 10-00 
 
 11 
 
 193-49411 
 
 3-94907 
 
 ii-ooo 
 
 3-84 
 
 3-8445 
 
 3-8452 
 
 4-05 
 
 4-05 
 
 3-82 
 
 i roo 
 
 I I'OO 
 
 12 
 
 243-81176 
 
 4-94907 
 
 I2-OOO 
 
 4-84 
 
 4-8445 
 
 4-8452 
 
 5-05 
 
 5^5 
 
 4-82 
 
 I2'OO 
 
 I2-OO 
 
 13 
 
 294-12940 
 
 5-94907 
 
 0-477 
 
 5-84 
 
 5' 8 445 
 
 5-8452 
 
 6-05 
 
 6-05 
 
 5-82 
 
 13-00 
 
 I3-00 
 
 14 
 
 344-44705 
 
 6-94907 
 
 1-477 
 
 6-84 
 
 6-8445 
 
 6-8452 
 
 O'lO 
 
 o-io 
 
 6-82 
 
 14-00 
 
 14-00 
 
 15 
 
 34-76469 
 
 0-89815 
 
 2-477 
 
 0-68 
 
 0-6889 
 
 0-6904 
 
 I'lO 
 
 no 
 
 0-65 
 
 15-00 
 
 I5-00 
 
 16 
 
 85-08234 
 
 1-89815 
 
 3-477 
 
 1-68 
 
 1-6889 
 
 1-6904 
 
 2'10 
 
 2-10 
 
 1-65 
 
 16-00 
 
 l6-OO 
 
 17 
 
 135-39999 
 
 2-89815 
 
 4-477 
 
 2-68 
 
 2-6889 
 
 2-6904 
 
 3-10 
 
 3-10 
 
 2-65 
 
 17-00 
 
 I7-00 
 
 18 
 
 185-71763 
 
 3-89815 
 
 5 '47 7 
 
 3-68 
 
 3-6889 
 
 3-6904 
 
 4'IO 
 
 4-10 
 
 3-65 
 
 18-00 
 
 18-00 
 
 19 
 
 236-03528 
 
 4-89815 
 
 6-477 
 
 4-68 
 
 4-6889 
 
 4-6904 
 
 5-10 
 
 5-10 
 
 4-65 
 
 19 oo 
 
 19-00 
 
 20 
 
 286-35293 
 
 5-89815 
 
 7-477 
 
 5-68 
 
 5-6889 
 
 5-6904 
 
 6-10 
 
 6-10 
 
 5-65 
 
 2O'OO 
 
 20-00 
 
 21 
 
 336-67057 
 
 6-89815 
 
 8-477 
 
 6-68 
 
 6-6889 
 
 6-6904 
 
 0-15 
 
 0-15 
 
 6-65 
 
 2 I-OO 
 
 2 I'OO 
 
 22 
 
 26-98822 
 
 0-84722 
 
 9-477 
 
 0-52 0-5334 
 
 0-5356 
 
 1-15 
 
 1-15 
 
 0-47 
 
 22'00 
 
 22'OO 
 
 23 
 
 77-30586 
 
 1-84722 
 
 10-477 
 
 1-52 
 
 1-5334 
 
 I-5356 
 
 2-15 
 
 2-15 
 
 1-47 
 
 23-OO 
 
 23-00 
 
 24 
 
 127-62351 
 
 2-84722 
 
 11-477 
 
 2-52 
 
 2-5334 
 
 2-5356 
 
 3'i5 
 
 3-'5 
 
 2-47 
 
 24-00 
 
 24-00 
 
 25 
 
 177-94116 
 
 3-84722 
 
 12-477 
 
 3'5* 
 
 3-5334 
 
 3-5356 
 
 4-I5 
 
 4-I5 
 
 3-47 
 
 25-00 
 
 25-00 
 
 26 
 
 228-25880 
 
 4-84722 
 
 0-954 
 
 4-52 
 
 4-5334 
 
 4-5356 
 
 5-I5 
 
 S'JJ 
 
 4'47 
 
 26-00 
 
 26-OO 
 
 27 
 
 278-57645 
 
 5-84722 
 
 ''954 
 
 5-52 
 
 5-5334 
 
 5-5356 
 
 6-15 
 
 6-15 
 
 5-47 
 
 27-00 
 
 27-OO 
 
 28 
 
 328-89410 
 
 6-84722 
 
 2 '954 
 
 6-52 
 
 6-5334 
 
 6-5356 
 
 O"2O 
 
 0'2O 
 
 6-47 
 
 28-00 
 
 28-OO 
 
 29 
 
 19-21174 
 
 0-79629 
 
 3-954 
 
 o-35 
 
 0-3779 
 
 0-3807 
 
 I'20 
 
 1-20 
 
 0-29 
 
 29-00 
 
 29-00 
 
 3O 
 
 69-52939 
 
 1-79629 
 
 4-954 
 
 1-35 
 
 1-3779 
 
 1-3807 
 
 2'2O 
 
 2'20 
 
 1-29 
 
 30-OO 
 
 30-OO 
 
 31 
 
 119-84703 
 
 2-79629 
 
 5'954 
 
 2'35 
 
 z'3779 
 
 2-3807 
 
 3-20 
 
 3-20 
 
 2-29 
 
 3I-00 
 
 3I-OO 
 
 Feb. 1 
 
 170-16468 
 
 3-79629 
 
 6'954 
 
 3-35 
 
 3'3779 
 
 3-3807 
 
 4'2O 
 
 4-20 
 
 3-29 
 
 32-OO 
 
 32-OO 
 
 2 
 
 220-48233 
 
 4-79629 
 
 7-954 
 
 4'35 
 
 4-3779 
 
 4-3807 
 
 5-20 
 
 5-20 
 
 4-29 
 
 33-00 
 
 33-00 
 
 3 
 
 270-79997 
 
 5-79629 
 
 8-954 
 
 5-35 
 
 S'3779 
 
 S'SSoy 
 
 6'2O 
 
 6 - 20 
 
 5-29 
 
 34-00 
 
 34-00 
 
 4 
 
 321-11762 
 
 6 79629 
 
 9'954 
 
 6-35 
 
 6-3779 
 
 6-3807 
 
 0-25 
 
 0-25 
 
 6-29 
 
 35-00 
 
 35-00 
 
 5 
 
 11-43527 
 
 0-74536 
 
 10-954 
 
 0-19 
 
 0-2223 
 
 0-2259 
 
 1-25 
 
 1-25 
 
 o-i i 
 
 36-OO 
 
 36-OO 
 
 6 
 
 61-75291 
 
 1-74536 
 
 11-954 
 
 1-19 
 
 1*2223 
 
 1-2259 
 
 2-25 
 
 2-25 
 
 I'll 
 
 37-00 
 
 37-00 
 
 7 
 
 112-07056 
 
 2-74536 
 
 0-430 
 
 2-19 
 
 2-2223 
 
 2-2259 
 
 3-25 
 
 3-25 
 
 2'n 
 
 38-OO 
 
 38-00 
 
 8 
 
 162-38821 
 
 374536 
 
 '-430 
 
 3-i9 
 
 3-2223 
 
 3-2259 
 
 4-25 
 
 4-25 
 
 3'ii 
 
 3 9 -00 
 
 39-00 
 
 9 
 
 212-70585 
 
 474536 
 
 2-430 
 
 4-19 
 
 4-2223 
 
 4-2259 
 
 5-25 
 
 5-25 
 
 4-11 
 
 4O-OO 
 
 40-00 
 
 10 
 
 263-02350 
 
 574536 
 
 3'43 
 
 5-19 
 
 5-2223 
 
 5-2259 
 
 6-25 
 
 6-25 
 
 5-11 
 
 4I-00 
 
 41-00 
 
 11 
 
 3 I 3'34- I '4 
 
 6-74536 
 
 4-430 
 
 6-19 
 
 6-2223 
 
 6-2259 
 
 0-30 
 
 0-30 
 
 6-1 1 
 
 42-00 
 
 42-00 
 
 12 
 
 3-65879 
 
 0-69444 
 
 5-430 
 
 0-03 
 
 0-0668 
 
 0-071 1 
 
 1-30 
 
 1-30 
 
 7-11 
 
 43-00 
 
 43-00 
 
 13 
 
 53'97644 
 
 i -69444 
 
 6-430 
 
 1-03 
 
 i -0668 
 
 1-071 1 
 
 2-30 
 
 2-30 
 
 0-94 
 
 44-00 
 
 44-00 
 
 14 
 
 104-29408 
 
 2-69444 
 
 7-430 
 
 2-03 
 
 2-0668 
 
 2-071 1 
 
 3-30 
 
 3.30 
 
 1-94 
 
 45-00 
 
 45-00 
 
 15 
 
 154-61173 
 
 3-69444 
 
 8-430 
 
 3-03 
 
 3-0668 
 
 3-0711 
 
 4-30 
 
 4-30 
 
 2'94 
 
 46-00 
 
 46-00 
 
 16 
 
 204-92938 
 
 4-69444 
 
 9-430 
 
 4-03 
 
 4-0668 
 
 4-0711 
 
 5-30 
 
 5'3o 
 
 3'94 
 
 47-00 
 
 47-00 
 
 17 
 
 255-24702 
 
 5-69444 
 
 10-430 
 
 5-03 
 
 5-0668 
 
 5-0711 
 
 6 30 
 
 6-30 
 
 4 - 94 
 
 48-00 
 
 48-00 
 
 18 
 
 305-56467 
 
 6-69444 
 
 11-430 
 
 6-03 
 
 6-0668 
 
 6-0711 
 
 o-35 
 
 o-35 
 
 5-94 
 
 49-00 
 
 49-00 
 
 19 
 
 355-88231 
 
 0-64351 
 
 12-430 
 
 7-3 
 
 7-0668 
 
 7-0711 
 
 i-35 
 
 1-35 
 
 6-94 
 
 50-OO 
 
 50-00 
 
 2O 
 
 46-19996 
 
 i '643 5 1 
 
 0-907 
 
 0-87 
 
 0-9112 
 
 0-9163 
 
 2-35 
 
 2-35 
 
 0-76 
 
 0-84 
 
 51-00 
 
 21 
 
 96-51761 
 
 2-64351 
 
 1-907 
 
 1-87 
 
 1-9112 
 
 1-9163 
 
 3'35 
 
 3-35 
 
 1-76 
 
 1-84 
 
 52*00 
 
 22 
 
 146-83525 
 
 3'6435i 
 
 2-907 
 
 2-87 
 
 2*91 12 
 
 2-9163 
 
 4-35 
 
 4-35 
 
 276 
 
 2-8 4 
 
 53-00 
 
 In Leap Year diminish the date in Columns i, 13, by i day after Feb. 28. 
 ,56 
 
SATELLITE III 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XII Motions of Mean Longitude and the Arguments for Days 
 
 '3 
 
 14 
 
 15 
 
 16 
 
 >7 
 
 il 
 
 '9 
 
 zo 
 
 21 
 
 22 
 
 Day 
 
 N 
 
 o 
 
 p 
 
 Q 
 
 R 
 
 S 
 
 T 
 
 u 
 
 V 
 
 
 y 
 
 1 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 Jan. 1 
 
 O*O 
 
 I 'OOOOO 
 
 I'OO 
 
 i-ooo 
 
 I'OO 
 
 1 'OOOO 
 
 I'OO 
 
 I'OOO 
 
 1*0 
 
 2 
 
 O'O 
 
 2'OOOOO 
 
 2'OO 
 
 2-000 
 
 2 '00 
 
 2-OOOO 
 
 2'OO 
 
 2'OOO 
 
 2-0 
 
 3 
 
 O'O 
 
 3'ooooo 
 
 3-00 
 
 3'OOO 
 
 3 'oo 
 
 3'OOQO 
 
 3-OO 
 
 3'OOO 
 
 3'0 
 
 4 
 
 O'O 
 
 4'ooooo 
 
 0-42 
 
 0'423 
 
 0-42 
 
 4-OOOO 
 
 4'OO 
 
 4'ooo 
 
 4-0 
 
 5 
 
 O'O 
 
 5-00000 
 
 1-42 
 
 -423 
 
 1-42 
 
 5'QOOO 
 
 5 'oo 
 
 5-000 
 
 5'0 
 
 6 
 
 O'O 
 
 6'OOOOO 
 
 2-42 
 
 2-423 
 
 2-42 
 
 6-0000 
 
 6 - oo 
 
 6-000 
 
 6-0 
 
 7 
 
 o-o 
 
 yooooo 
 
 3-42 
 
 3-423 
 
 3-42 
 
 7-0000 
 
 7'oo 
 
 7-000 
 
 7-0 
 
 8 
 
 O'O 
 
 0-84545 
 
 0-85 
 
 0-846 
 
 0-85 
 
 0-8464 
 
 0-85 
 
 0-846 
 
 0-8 
 
 9 
 
 O'O 
 
 1-84545 
 
 1-85 
 
 1-846 
 
 1-85 
 
 1-8464 
 
 1-85 
 
 1-846 
 
 1*8 
 
 1O 
 
 o-o 
 
 2-84545 
 
 2-85 
 
 2-846 
 
 2-85 
 
 2-8464 
 
 2-85 
 
 2-846 
 
 2*8 
 
 11 
 
 O'O 
 
 3-84545 
 
 0-27 
 
 0-269 
 
 0-27 
 
 3-8464 
 
 3-85 
 
 3-846 
 
 3-8 
 
 12 
 
 o-o 
 
 4-84545 
 
 1-27 
 
 1-269 
 
 1-27 
 
 4-8464 
 
 4-85 
 
 4-846 
 
 4*8 
 
 13 
 
 o-o 
 
 5^4545 
 
 2-27 
 
 2-269 
 
 2-27 
 
 5-8464 
 
 5-85 
 
 5-846 
 
 5-8 
 
 14 
 
 O'O 
 
 6-84545 
 
 3-27 
 
 3^69 
 
 3-27 
 
 6-8464 
 
 6-85 
 
 6-846 
 
 6-8 
 
 15 
 
 O'O 
 
 0-69089 
 
 0-70 
 
 0-692 
 
 0*69 
 
 0-6929 
 
 070 
 
 0-691 
 
 o'6 
 
 16 
 
 O'O 
 
 1-69089 
 
 170 
 
 I'6g2 
 
 i '69 
 
 1-6929 
 
 170 
 
 1-691 
 
 1-6 
 
 17 
 
 O'O 
 
 2-69089 
 
 2-70 
 
 2-692 
 
 2 '69 
 
 2-6929 
 
 270 
 
 2-691 
 
 2-6 
 
 18 
 
 O'O 
 
 3-69089 
 
 O'l 2 
 
 o'ii5 
 
 O'l I 
 
 3-6929 
 
 3-70 
 
 3-691 
 
 3-6 
 
 19 
 
 O'l 
 
 4-69089 
 
 1*19 
 
 1-115 
 
 I'l I 
 
 4-6929 
 
 470 
 
 4-691 
 
 4-6 
 
 20 
 
 O'l 
 
 5-69089 
 
 2'12 
 
 2-115 
 
 2'II 
 
 5-6929 
 
 570 
 
 5-691 
 
 5-6 
 
 21 
 
 O'l 
 
 6-69089 
 
 3-12 
 
 3-115 
 
 3-11 
 
 6-6929 
 
 670 
 
 6-691 
 
 6-6 
 
 22 
 
 O'l 
 
 0-53634 
 
 0-54 
 
 o-538 
 
 o'54 
 
 0-5393 
 
 o'55 
 
 0-537 
 
 0-5 
 
 23 
 
 O'l 
 
 '53634 
 
 '54 
 
 1-538 
 
 i-54 
 
 1-5393 
 
 '55 
 
 '537 
 
 i'5 
 
 24 
 
 O'l 
 
 2-53634 
 
 2-54 
 
 2-538 
 
 2-54 
 
 2-5393 
 
 2-55 
 
 2-537 
 
 2-5 
 
 25 
 
 O'l 
 
 3-53634 
 
 3-54 
 
 3-538 
 
 3-54 
 
 3-5393 
 
 3'55 
 
 3'537 
 
 3'5 
 
 26 
 
 O-'I 
 
 4-53634 
 
 0-97 
 
 0-961 
 
 0-96 
 
 4-5393 
 
 4'SS 
 
 4-537 
 
 4'5 
 
 27 
 
 O'l 
 
 5-53634 
 
 1-97 
 
 1-961 
 
 1-96 
 
 5-5393 
 
 5'55 
 
 5-537 
 
 5'5 
 
 28 
 
 O'l 
 
 6-53634 
 
 2-97 
 
 2-961 
 
 2-96 
 
 6-5393 
 
 6-55 
 
 6-537 
 
 6-5 
 
 29 
 
 O'l 
 
 0-38179 
 
 0-39 
 
 0-384 
 
 0-38 
 
 0-3858 
 
 0-40 
 
 0-383 
 
 0-3 
 
 30 
 
 O'l 
 
 1-38179 
 
 1-39 
 
 1-384 
 
 i'38 
 
 1-3858 
 
 1-40 
 
 1-383 
 
 i'3 
 
 31 
 
 O'l 
 
 2-38179 
 
 2-39 
 
 2-384 
 
 2-38 
 
 2-3858 
 
 2-40 
 
 2-383 
 
 2-3 
 
 Feb. 1 
 
 O'l 
 
 3-38179 
 
 3-39 
 
 3-384 
 
 3-38 
 
 3-3858 
 
 3-4 
 
 3-383 
 
 3'3 
 
 2 
 
 O'l 
 
 4-38179 
 
 0-81 
 
 0-807 
 
 0-8 1 
 
 4-3858 
 
 4'4 
 
 4-383 
 
 4'3 
 
 3 
 
 O'l 
 
 5-38179 
 
 1-81 
 
 1-807 
 
 1-81 
 
 5-3858 
 
 5-40 
 
 5-383 
 
 5'3 
 
 4 
 
 O'l 
 
 6-38179 
 
 2'8l 
 
 2-807 
 
 2-81 
 
 6-3858 
 
 6'40 
 
 6-383 
 
 6-3 
 
 5 
 
 O'l 
 
 0-22724 
 
 0-24 
 
 0-230 
 
 o ' 2 3 
 
 0^2322 
 
 0'25 
 
 0-229 
 
 O'l 
 
 6 
 
 O'l 
 
 1-22724 
 
 1-24 
 
 1-230 
 
 1-23 
 
 1-2322 
 
 1-25 
 
 1*229 
 
 i- 
 
 7 
 
 O'l 
 
 2-22724 
 
 2-24 
 
 2-230 
 
 2-23 
 
 2-2322 
 
 2-25 
 
 2-229 
 
 2' 
 
 8 
 
 O'l 
 
 3-22724 
 
 3-24 
 
 3-230 
 
 3-23 
 
 3-2322 
 
 3-25 
 
 3-229 
 
 3" 
 
 9 
 
 O'l 
 
 4-22724 
 
 0-66 
 
 0-653 
 
 0-65 
 
 4-2322 
 
 4'*5 
 
 4-229 
 
 4" 
 
 1O 
 
 O'l 
 
 5-22724 
 
 1-66 
 
 I-653 
 
 1-65 
 
 5-2322 
 
 5-25 
 
 5-229 
 
 5' 
 
 11 
 
 O'l 
 
 6-22724 
 
 2-66 
 
 2-653 
 
 2-65 
 
 6*2322 
 
 6-25 
 
 6-229 
 
 6- 
 
 12 
 
 o-i 
 
 0-07268 
 
 0-09 
 
 0-076 
 
 o'O7 
 
 0-0787 
 
 O'lO 
 
 0-074 
 
 r 
 
 13 
 
 O'l 
 
 I '07268 
 
 1*09 
 
 1-076 
 
 1-07 
 
 1-0787 
 
 rio 
 
 1-074 
 
 o- 9 
 
 14 
 
 O'l 
 
 2-07268 
 
 2-09 
 
 2-076 
 
 2-07 
 
 2-0787 
 
 2'10 
 
 2-074 
 
 1-9 
 
 15 
 
 O'l 
 
 3-07268 
 
 3-09 
 
 3-076 
 
 3-07 
 
 3-0787 
 
 3-10 
 
 3-074 
 
 2*9 
 
 16 
 
 O'l 
 
 4-07268 
 
 0-51 
 
 0-499 
 
 0-50 
 
 4-0787 
 
 4-10 
 
 4-074 
 
 3-9 
 
 17 
 
 O'l 
 
 5-07268 
 
 1-51 
 
 1-499 
 
 1-50 
 
 5-0787 
 
 5-10 
 
 5-074 
 
 4-9 
 
 18 
 
 O'l 
 
 6-07268 
 
 2-51 
 
 2'499 
 
 2-50 
 
 6-0787 
 
 6-io 
 
 6-074 
 
 5-9 
 
 19 
 
 O'l 
 
 7-07268 
 
 3-5' 
 
 3-499 
 
 3-50 
 
 7-0787 
 
 7-10 
 
 7-074 
 
 6-9 
 
 20 
 
 O'l 
 
 0-91813 
 
 0-93 
 
 0-922 
 
 O'92 
 
 0-9251 
 
 o-95 
 
 0-920 
 
 0-8 
 
 21 
 
 O'l 
 
 1-91813 
 
 i -93 
 
 1-922 
 
 1-92 
 
 1-9251 
 
 J'95 
 
 1*920 
 
 i "8 
 
 22 
 
 O'l 
 
 2-91813 
 
 2-93 
 
 2-922 
 
 2-92 
 
 2-9251 
 
 2 -95 
 
 2-920 
 
 2*8 
 
 In Leap Year diminish the date in Columns i, 13, by i day after Feb. 28. 
 '57 
 
SATELLITE III 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XII continued Motions of Mean Longitude and the Arguments for Days 
 
 I 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 S 
 
 9 
 
 IO 
 
 ii 
 
 12 
 
 Day 
 
 Mean Long. 
 
 A 
 
 B 
 
 c 
 
 D 
 
 E 
 
 F 
 
 G 
 
 H 
 
 1 
 
 J-a 
 
 
 o 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 Feb. 23 
 
 197-15290 
 
 4-6435 1 
 
 3-907 
 
 3-87 
 
 3-9II2 
 
 3-9163 
 
 5'35 
 
 5-35 
 
 376 
 
 3*84 
 
 54-00 
 
 24 
 
 247-47055 
 
 5-6435I 
 
 4*907 
 
 4-87 
 
 4*9112 
 
 4*9163 
 
 6-35 
 
 6-35 
 
 4-76 
 
 4*84 
 
 55-00 
 
 25 
 
 29778819 
 
 6-64351 
 
 5*907 
 
 5-87 
 
 5-9II2 
 
 5-9163 
 
 0-41 
 
 0-40 
 
 576 
 
 5*84 
 
 56*OO 
 
 26 
 
 348-10584 
 
 0-59258 
 
 6*907 
 
 6-87 
 
 6*9II2 
 
 6-9163 
 
 1-41 
 
 1*40 
 
 676 
 
 6-84 
 
 57*00 
 
 27 
 
 38-42348 
 
 1-59258 
 
 7-907 
 
 0*71 
 
 07557 
 
 0-7615 
 
 2*41 
 
 2*40 
 
 0-58 
 
 7-84 
 
 58*00 
 
 28 
 
 88-74113 
 
 2-59258 
 
 8*907 
 
 1*71 
 
 17557 
 
 I*76l5 
 
 3V 
 
 3-4 
 
 I- 5 8 
 
 8-84 
 
 59*00 
 
 Mar. 1 
 
 139-05878 
 
 3'59 2 5 8 
 
 9-907 
 
 2*71 
 
 2-7557 
 
 2*76l5 
 
 4*41 
 
 4-40 
 
 2-58 
 
 9-84 
 
 60*00 
 
 2 
 
 189-37642 
 
 4-59258 
 
 10*907 
 
 371 
 
 3-7557 
 
 37615 
 
 5-4i 
 
 5-40 
 
 3-58 
 
 10-84 
 
 61*00 
 
 3 
 
 239-69407 
 
 5-59258 
 
 II*907 
 
 471 
 
 47557 
 
 4*7615 
 
 6-41 
 
 6-40 
 
 4-58 
 
 11-84 
 
 62-00 
 
 4 
 
 290-01172 
 
 6-59258 
 
 0-384 
 
 5-71 
 
 57557 
 
 5*76l5 
 
 0-46 
 
 0*45 
 
 5*58 
 
 12-84 
 
 63-00 
 
 5 
 
 340-32936 
 
 0-54166 
 
 1*384 
 
 6*71 
 
 67557 
 
 6*7615 
 
 1-46 
 
 i-45 
 
 6*58 
 
 13-84 
 
 64-00 
 
 6 
 
 30-64701 
 
 1-54166 
 
 *-384 
 
 0*55 
 
 0*6002 
 
 O*6o66 
 
 2-46 
 
 2*45 
 
 0*41 
 
 14-84 
 
 65-00 
 
 7 
 
 80-96466 
 
 2-54166 
 
 3^84 
 
 1-55 
 
 I *6OO2 
 
 1*6066 
 
 3-46 
 
 3'45 
 
 1*41 
 
 15-84 
 
 66-00 
 
 8 
 
 131-28230 
 
 3-54166 
 
 4-384 
 
 z-55 
 
 2'6O22 
 
 2*6066 
 
 4-46 
 
 4'45 
 
 2-41 
 
 16-84 
 
 67-00 
 
 9 
 
 181-59995 
 
 4-54166 
 
 5-384 
 
 3'5S 
 
 3*6OO2 
 
 3*6066 
 
 5-46 
 
 5-45 
 
 3-4I 
 
 17-84 
 
 68-00 
 
 1O 
 
 231-91759 
 
 5-54166 
 
 6-384 
 
 4'55 
 
 4*60O2 
 
 4-6066 
 
 6-46 
 
 6*45 
 
 4*41 
 
 18-84 
 
 69-00 
 
 11 
 
 282-23524 
 
 6-54166 
 
 7-384 
 
 5-55 
 
 5-6OO2 
 
 5*6066 
 
 0-51 
 
 0-50 
 
 5-4I 
 
 19-84 
 
 70-00 
 
 12 
 
 332-55289 
 
 0-49073 
 
 8-384 
 
 6-55 
 
 6-6OO2 
 
 6*6066 
 
 1-51 
 
 1*50 
 
 6-41 
 
 20-84 
 
 71-00 
 
 13 
 
 22-87053 
 
 1-49073 
 
 9-384 
 
 o"39 
 
 0*4446 
 
 0*4518 
 
 2-51 
 
 2*50 
 
 0*23 
 
 21-84 
 
 72-00 
 
 14 
 
 73-18818 
 
 2-49073 
 
 10-384 
 
 1*39 
 
 1*4446 
 
 1-4518 
 
 3-5i 
 
 3-50 
 
 1*23 
 
 22-84 
 
 73-00 
 
 15 
 
 123-50583 
 
 3 '4973 
 
 11-384 
 
 2-39 
 
 2*4446 
 
 2-4518 
 
 4-5i 
 
 4-50 
 
 2*23 
 
 23-84 
 
 74-oo 
 
 16 
 
 173-82347 
 
 4-49073 
 
 12-384 
 
 3-39 
 
 3-4446 
 
 3-45I8 
 
 5-5i 
 
 5-5o 
 
 3^3 
 
 24-84 
 
 75-00 
 
 17 
 
 224-14112 
 
 5-49073 
 
 0-861 
 
 4'39 
 
 4-4446 
 
 4-4518 
 
 6-51 
 
 6-50 
 
 4' Z 3 
 
 25-84 
 
 76-00 
 
 18 
 
 274-45876 
 
 6-49073 
 
 1-861 
 
 5'39 
 
 5*4446 
 
 5*4518 
 
 0-56 
 
 0-55 
 
 5*23 
 
 26-84 
 
 77-00 
 
 19 
 
 324-77641 
 
 0-43980 
 
 2-861 
 
 6'39 
 
 6*4446 
 
 6*4518 
 
 1-56 
 
 ''55 
 
 6*23 
 
 27-84 
 
 78-00 
 
 2O 
 
 15-09406 
 
 1-43980 
 
 3-861 
 
 0*23 
 
 0*2891 
 
 0-2970 
 
 2-56 
 
 2-55 
 
 0*05 
 
 28-84 
 
 79-00 
 
 21 
 
 65-41 170 
 
 2-43980 
 
 4-861 
 
 1-23 
 
 1*2891 
 
 1-2970 
 
 3-56 
 
 3-55 
 
 1*05 
 
 29-84 
 
 80-00 
 
 22 
 
 H572935 
 
 3-43980 
 
 5-861 
 
 2*23 
 
 2*2891 
 
 2-2970 
 
 4-56 
 
 4-55 
 
 2*05 
 
 30^4 
 
 8roo 
 
 23 
 
 166-04700 
 
 4-43980 
 
 6-861 
 
 3-23 
 
 3*2891 
 
 3'2970 
 
 5-56 
 
 5-55 
 
 3-05 
 
 3I-84 
 
 82-00 
 
 24 
 
 216-36464 
 
 5-43980 
 
 7-861 
 
 4-23 
 
 4*2891 
 
 4-2970 
 
 6-56 
 
 6*55 
 
 4-05 
 
 32*84 
 
 83*00 
 
 25 
 
 266*68229 
 
 6-43980 
 
 8-861 
 
 5-23 
 
 5-2891 
 
 5-2970 
 
 0-6 1 
 
 o'6o 
 
 5-05 
 
 33-84 
 
 84-00 
 
 26 
 
 316-99993 
 
 0-38887 
 
 9-861 
 
 6*23 
 
 6-2891 
 
 6-2970 
 
 1-61 
 
 i -60 
 
 6-05 
 
 34-84 
 
 85-00 
 
 27 
 
 7-3I758 
 
 1-38887 
 
 10-861 
 
 0-06 
 
 0*1336 
 
 0-1422 
 
 2*61 
 
 2-60 
 
 7-05 
 
 35^4 
 
 86-00 
 
 28 
 
 57-63523 
 
 2-38887 
 
 11-861 
 
 1*06 
 
 I-I336 
 
 1-1422 
 
 3-6i 
 
 3-60 
 
 0-87 
 
 36-84 
 
 87-00 
 
 29 
 
 107-95287 
 
 3-38887 
 
 o-337 
 
 2 'O6 
 
 2*I336 
 
 2-1422 
 
 4-61 
 
 4-60 
 
 1*87 
 
 37"84 
 
 88-00 
 
 30 
 
 158-27052 
 
 4-38887 
 
 1-337 
 
 3*06 
 
 3*I336 
 
 3-1422 
 
 5-61 
 
 5-60 
 
 2*87 
 
 38*84 
 
 89-00 
 
 31 
 
 208-58817 
 
 5-38887 
 
 2-337 
 
 4-06 
 
 4-1336 
 
 4-1422 
 
 6*6 1 
 
 6-60 
 
 3-87 
 
 39-84 
 
 90-00 
 
 April 1 
 
 258-90581 
 
 6-38887 
 
 3-337 
 
 5-06 
 
 5*1336 
 
 5-1422 
 
 0*66 
 
 0-65 
 
 4*87 
 
 40*84 
 
 91-00 
 
 2 
 
 309-22346 
 
 Q'33795 
 
 4-337 
 
 6-06 
 
 6-1336 
 
 6-1422 
 
 1*66 
 
 1-65 
 
 5-87 
 
 41*84 
 
 92-00 
 
 3 
 
 359-54110 
 
 1-33795 
 
 5-337 
 
 7-06 
 
 7-1336 
 
 7-1422 
 
 2*66 
 
 2-65 
 
 6*87 
 
 42*84 
 
 93-oo 
 
 4 
 
 49-85875 
 
 -33795 
 
 6'337 
 
 0-90 
 
 0*9780 
 
 0-9874 
 
 3*66 
 
 3-65 
 
 0*70 
 
 43-84 
 
 94-00 
 
 5 
 
 100-17640 
 
 3-33795 
 
 7-337 
 
 1-90 
 
 1-9780 
 
 1-9874 
 
 4*66 
 
 4-65 
 
 1*70 
 
 44-84 
 
 95-00 
 
 6 
 
 150-49404 
 
 4-33795 
 
 8-337 
 
 2-90 
 
 2*9780 
 
 2*9874 
 
 5-66 
 
 5-65 
 
 2*70 
 
 45*84 
 
 96-00 
 
 7 
 
 200-81 169 
 
 5-33795 
 
 9-337 
 
 3-9 
 
 3*9780 
 
 3-9874 
 
 6*66 
 
 6-65 
 
 370 
 
 46*84 
 
 97-00 
 
 8 
 
 251-12934 
 
 6-33795 
 
 10-337 
 
 4-90 
 
 4*9780 
 
 4*9874 
 
 0-71 
 
 0-70 
 
 4-70 
 
 47*84 
 
 98*00 
 
 9 
 
 301-44698 
 
 0*28702 
 
 u'337 
 
 5*90 
 
 5-9780 
 
 5-9874 
 
 1-71 
 
 1-70 
 
 5-70 
 
 48-84 
 
 99*00 
 
 1O 
 
 351-76463 
 
 1-28702 
 
 iz-337 
 
 6*90 
 
 6*9780 
 
 6*9874 
 
 2*71 
 
 2-70 
 
 6*70 
 
 49*84 
 
 100*00 
 
 11 
 
 42-08228 
 
 2-28702 
 
 0-814 
 
 0-74 
 
 0-8225 
 
 0*8326 
 
 3*71 
 
 37 
 
 0*52 
 
 0-68 
 
 lOI'OO 
 
 12 
 
 92-39992 
 
 3-28702 
 
 1-814 
 
 '74 
 
 1-8225 
 
 1*8326 
 
 4*71 
 
 4-70 
 
 1*52 
 
 1-68 
 
 I02'OO 
 
 13 
 
 142-71757 
 
 4-28702 
 
 2-814 
 
 2-74 
 
 2-8225 
 
 2-8326 
 
 57i 
 
 5-70 
 
 2*52 
 
 2-68 
 
 1O3-OO 
 
 14 
 
 193-03521 
 
 5*28702 
 
 3-8i4 
 
 3-74 
 
 3*8225 
 
 3-8326 
 
 6*7. 
 
 6*70 
 
 3-52 
 
 3-68 
 
 1O4*OO 
 
 15 
 
 243-35286 
 
 6-28702 
 
 4-814 
 
 4-74 
 
 4*8225 
 
 4-8326 
 
 0*76 
 
 0*75 
 
 4-52 
 
 4-68 
 
 IO5*OO 
 
 16 
 
 293-67051 
 
 0*23609 
 
 5-814 
 
 574 
 
 5-8225 
 
 5-8326 
 
 176 
 
 175 
 
 5-52 
 
 5-68 
 
 I06-OO 
 
 In Leap Year diminish the date in Columns z, 13, by i day after Feb. 28. 
 
 , 5 8 
 
SATELLITE III 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XII continued Motions of Mean Longitude and the Arguments for Days 
 
 >3 
 
 M 
 
 '5 
 
 16 
 
 17 
 
 18 
 
 '9 
 
 20 
 
 21 
 
 1Z 
 
 Day 
 
 N 
 
 o 
 
 P 
 
 Q 
 
 R 
 
 s 
 
 T 
 
 u 
 
 V 
 
 
 y 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 Feb. 23 
 
 OM 
 
 3-918I3 
 
 0-36 
 
 0-345 
 
 0-34 
 
 3-9 2 5I 
 
 3'95 
 
 3-920 
 
 3-8 
 
 24 
 
 0'2 
 
 4-91813 
 
 .36 
 
 1-345 
 
 i-34 
 
 4-9251 
 
 4^5 
 
 4-920 
 
 4-8 
 
 25 
 
 0-2 
 
 5'9' 8l 3 
 
 2-36 
 
 2-345 
 
 2-34 
 
 5-9251 
 
 5-95 
 
 5-920 
 
 5-8 
 
 26 
 
 0-2 
 
 6-91813 
 
 3-36 
 
 3-345 
 
 3'34 
 
 6-9251 
 
 6-95 
 
 6-920 
 
 6-8 
 
 27 
 
 O-2 
 
 076358 
 
 0-78 
 
 0-768 
 
 0-76 
 
 07716 
 
 0-80 
 
 0-766 
 
 0-6 
 
 28 
 
 O-2 
 
 1-76358 
 
 1-78 
 
 1-768 
 
 1-76 
 
 I-77I6 
 
 1-80 
 
 1766 
 
 1-6 
 
 Mar. 1 
 
 O'2 
 
 2-76358 
 
 278 
 
 2768 
 
 2-76 
 
 2-77I6 
 
 2-80 
 
 2-766 
 
 2-6 
 
 2 
 
 O'2 
 
 3-76358 
 
 O'2I 
 
 0-191 
 
 0-19 
 
 3-7716 
 
 3-80 
 
 3-766 
 
 3-6 
 
 3 
 
 O'2 
 
 476358 
 
 I'2I 
 
 1-191 
 
 1-19 
 
 47716 
 
 4-80 
 
 4-766 
 
 4-6 
 
 4 
 
 O'2 
 
 576358 
 
 I'll 
 
 2-191 
 
 2-19 
 
 57716 
 
 5-80 
 
 5766 
 
 5-6 
 
 5 
 
 O'2 
 
 6-76358 
 
 3-21 
 
 3-191 
 
 3-I9 
 
 67716 
 
 6-80 
 
 6766 
 
 6-6 
 
 6 
 
 0'2 
 
 0-60902 
 
 0-63 
 
 0-614 
 
 0-61 
 
 0-6180 
 
 0-65 
 
 0-61 1 
 
 0-4 
 
 7 
 
 O"2 
 
 i -60902 
 
 1-63 
 
 1-614 
 
 1-61 
 
 1-6180 
 
 1-65 
 
 r6u 
 
 I- 4 
 
 8 
 
 O'2 
 
 2-60902 
 
 2-63 
 
 2-614 
 
 2 '6 1 
 
 2-6180 
 
 2-65 
 
 2-61 1 
 
 2-4 
 
 9 
 
 0'2 
 
 3-60902 
 
 0-05 
 
 0-036 
 
 0-03 
 
 3-6180 
 
 3-65 
 
 3-61 1 
 
 3'4 
 
 1O 
 
 0'2 
 
 4-60902 
 
 1-05 
 
 1-036 
 
 1-03 
 
 4-6180 
 
 4-65 
 
 4-61 1 
 
 4"4 
 
 11 
 
 O"2 
 
 5-60902 
 
 2-05 
 
 2-036 
 
 2-03 
 
 5-6180 
 
 5-65 
 
 5-611 
 
 5'4 
 
 12 
 
 O'2 
 
 6-60902 
 
 3-05 
 
 3-036 
 
 3-03 
 
 6-6180 
 
 6-65 
 
 6-611 
 
 6-4 
 
 13 
 
 O"2 
 
 0-45447 
 
 0-48 
 
 0-459 
 
 0-46 
 
 0-4644 
 
 0-50 
 
 0-457 
 
 O'2 
 
 14 
 
 0-2 
 
 "'45447 
 
 1-48 
 
 i-459 
 
 i- 4 6 
 
 i -4644 
 
 1-50 
 
 1-457 
 
 1*1 
 
 15 
 
 O'2 
 
 *-45447 
 
 2-48 
 
 2-459 
 
 2-46 
 
 2-4644 
 
 2-50 
 
 z'457 
 
 2'2 
 
 16 
 
 0'2 
 
 3 '45447 
 
 3-48 
 
 3-459 
 
 3'4 6 
 
 3 '4 6 44 
 
 3-50 
 
 3-457 
 
 3'2 
 
 17 
 
 O"2 
 
 4"45447 
 
 0-90 
 
 0-882 
 
 0-88 
 
 4-4644 
 
 4-50 
 
 4'457 
 
 4'2 
 
 18 
 
 O'2 
 
 5'45447 
 
 1-90 
 
 1-882 
 
 1-88 
 
 5-4644 
 
 5-50 
 
 5^57 
 
 5-2 
 
 19 
 
 O-2 
 
 6-45447 
 
 2-90 
 
 2-882 
 
 2-88 
 
 6-4644 
 
 6-50 
 
 6-457 
 
 6-2 
 
 2O 
 
 O'2 
 
 0*29992 
 
 0-33 
 
 0-305 
 
 0-30 
 
 0-3109 
 
 0'35 
 
 0-303 
 
 o-o 
 
 21 
 
 O-2 
 
 1-29992 
 
 1-33 
 
 1-305 
 
 1-30 
 
 1-3109 
 
 1-35 
 
 1-303 
 
 I'O 
 
 22 
 
 O'2 
 
 2-29992 
 
 2-33 
 
 2-305 
 
 2-30 
 
 2-3109 
 
 2-35 
 
 2-303 
 
 2'O 
 
 23 
 
 0"2 
 
 3-29992 
 
 3-33 
 
 3-305 
 
 3-3 
 
 3-3109 
 
 3'35 
 
 3-303 
 
 3'0 
 
 24 
 
 O'2 
 
 4-29992 
 
 0-75 
 
 0-728 
 
 0-72 
 
 4'3i9 
 
 4-35 
 
 4'303 
 
 4'0 
 
 25 
 
 0'2 
 
 5-29992 
 
 1-75 
 
 1-728 
 
 1-72 
 
 5-3109 
 
 5'35 
 
 5-303 
 
 5-0 
 
 26 
 
 0'2 
 
 6-29992 
 
 275 
 
 2-728 
 
 2-72 
 
 6-3109 
 
 6-35 
 
 6-303 
 
 6-0 
 
 27 
 
 O'2 
 
 0-14537 
 
 0-17 
 
 0-151 
 
 0-15 
 
 0-1573 
 
 O'2O 
 
 0-148 
 
 7-0 
 
 28 
 
 O'2 
 
 i'i4S37 
 
 1-17 
 
 1-151 
 
 i-'5 
 
 i'i573 
 
 I '20 
 
 1-148 
 
 0-9 
 
 29 
 
 O'2 
 
 2-14537 
 
 2-17 
 
 2-151 
 
 2-15 
 
 2-1573 
 
 2'2O 
 
 2-148 
 
 1-9 
 
 30 
 
 O'2 
 
 3-H537 
 
 3-17 
 
 3-151 
 
 3-15 
 
 3-I573 
 
 3'2O 
 
 3-148 
 
 2-9 
 
 31 
 
 O'2 
 
 4-14537 
 
 0-60 
 
 0-574 
 
 0-57 
 
 4-I573 
 
 4'2O 
 
 4-148 
 
 3-9 
 
 April 1 
 
 0'2 
 
 5-14537 
 
 i -60 
 
 i-574 
 
 1-57 
 
 5'i573 
 
 5-20 
 
 5-148 
 
 4-9 
 
 2 
 
 0-3 
 
 6-14537 
 
 2-60 
 
 z'574 
 
 2-57 
 
 6-1573 
 
 6-20 
 
 6-148 
 
 5-9 
 
 3 
 
 0-3 
 
 7-14537 
 
 O'O2 
 
 3-574 
 
 3-57 
 
 0-0038 
 
 0-05 
 
 7-148 
 
 6-9 
 
 4 
 
 0-3 
 
 0-99081 
 
 I -O2 
 
 0-997 
 
 0-99 
 
 1-0038 
 
 1-05 
 
 0-994 
 
 07 
 
 5 
 
 0-3 
 
 1-99081 
 
 2-02 
 
 1-997 
 
 1-99 
 
 2-0038 
 
 2-05 
 
 1-994 
 
 17 
 
 6 
 
 '3 
 
 2-99081 
 
 3-02 
 
 2-997 
 
 2-99 
 
 3-0038 
 
 3-05 
 
 2-994 
 
 2-7 
 
 7 
 
 0-3 
 
 3-99081 
 
 0-44 
 
 0-420 
 
 0-42 
 
 4-0038 
 
 4-05 
 
 3^94 
 
 37 
 
 8 
 
 '3 
 
 4-99081 
 
 1'44 
 
 1-420 
 
 1-42 
 
 5-0038 
 
 5-05 
 
 4-994 
 
 47 
 
 9 
 
 0-3 
 
 5-99081 
 
 2 '44 
 
 2-420 
 
 2-42 
 
 6-0038 
 
 6-05 
 
 5-994 
 
 F 
 
 10 
 
 '3 
 
 6-99081 
 
 3'44 
 
 3-420 
 
 3-42 
 
 7-0038 
 
 7-05 
 
 6-994 
 
 67 
 
 11 
 
 o'3 
 
 0-83626 
 
 0-87 
 
 0-843 
 
 0-84 
 
 0-8502 
 
 0-90 
 
 0-840 
 
 0-5 
 
 12 
 
 0-3 
 
 1-83626 
 
 1-87 
 
 1-843 
 
 1-84 
 
 1-8502 
 
 1-90 
 
 1-840 
 
 i'5 
 
 13 
 
 o"3 
 
 2-83626 
 
 2-87 
 
 2-843 
 
 2-84 
 
 2-8502 
 
 2-90 
 
 2-840 
 
 2'5 
 
 14 
 
 0-3 
 
 3-83626 
 
 0-29 
 
 0-266 
 
 0-26 
 
 3-8502 
 
 3-90 
 
 3-840 
 
 3'5 
 
 15 
 
 0-3 
 
 4-83626 
 
 1-29 
 
 1-266 
 
 1-26 
 
 4-8502 
 
 4-90 
 
 4-840 
 
 4'5 
 
 16 
 
 0-3 
 
 5-83626 
 
 2-29 
 
 2-266 
 
 2-26 
 
 5-8502 
 
 5-90 
 
 5-840 
 
 5'5 
 
 In Leap Year diminish the date in Columns i, 13, by i day after Feb. 28 
 '59 
 
SATELLITE III 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XII continued Motions of Mean Longitude and the Arguments for Days 
 
 I 
 
 z 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 10 
 
 1 1 
 
 12 
 
 Day 
 
 Mean Long. 
 
 A 
 
 B 
 
 c 
 
 D 
 
 E 
 
 F 
 
 G 
 
 H 
 
 1 
 
 J-a 
 
 April 17 
 
 o 
 
 343-98815 
 
 d 
 1-23609 
 
 d 
 6-814 
 
 d 
 
 674 
 
 d 
 6-8225 
 
 d 
 6-8326 
 
 d 
 2-76 
 
 d 
 2-75 
 
 d 
 6-52 
 
 d 
 
 6-68 
 
 d 
 107-00 
 
 18 
 
 34-30580 
 
 2-23609 
 
 7-814 
 
 0-58 
 
 0-6670 
 
 0-6777 
 
 376 
 
 3-75 
 
 0-34 
 
 7-68 
 
 108-00 
 
 19 
 
 84-62345 
 
 3-23609 
 
 8-814 
 
 1-58 
 
 1-6670 
 
 I-6777 
 
 4-76 
 
 475 
 
 '34 
 
 8-68 
 
 lOg-OO 
 
 2O 
 
 134-94109 
 
 4-23609 
 
 9 -8l4 
 
 2-58 
 
 2-6670 
 
 2-6777 
 
 576 
 
 575 
 
 2'34 
 
 9-68 
 
 I lO'OO 
 
 21 
 
 185-25874 
 
 5-23609 
 
 IO-8I4 
 
 3-58 
 
 3-6670 
 
 3-6777 
 
 676 
 
 6-75 
 
 3-34 
 
 10-68 
 
 II I-OO 
 
 22 
 
 235-57638 
 
 6-23609 
 
 II-8I4 
 
 4-58 
 
 4-6670 
 
 4-6777 
 
 0-8 1 
 
 0-80 
 
 4'34 
 
 n-68 
 
 I I2'OO 
 
 23 
 
 285-89403 
 
 0-18517 
 
 O-29I 
 
 5-58 
 
 5-6670 
 
 5-6777 
 
 1-81 
 
 i -80 
 
 5-34 
 
 12-68 
 
 I 13-00 
 
 24 
 
 336-21168 
 
 I-I85I7 
 
 1-291 
 
 6-58 
 
 6-6670 
 
 6-6777 
 
 2-81 
 
 2-80 
 
 6-34 
 
 13-68 
 
 II4-OO 
 
 25 
 
 26-52932 
 
 2-I85I7 
 
 2-291 
 
 0-42 
 
 0-5II4 
 
 0-5229 
 
 3-8i 
 
 3-80 
 
 0-16 
 
 14-68 
 
 I 15-00 
 
 26 
 
 76-84697 
 
 3-I85I7 
 
 3-291 
 
 1-42 
 
 I-5II4 
 
 1-5229 
 
 4-81 
 
 4-80 
 
 1-16 
 
 15-68 
 
 116-00 
 
 27 
 
 127-16462 
 
 4-18517 
 
 4-291 
 
 2-42 
 
 2-5114 
 
 2-5229 
 
 5-81 
 
 5-80 
 
 2-16 
 
 16-68 
 
 117-00 
 
 28 
 
 177-48226 
 
 5-18517 
 
 5-29I 
 
 3-42 
 
 S'S"+ 
 
 3-5229 
 
 6-81 
 
 6-80 
 
 3-16 
 
 17-68 
 
 i iS'oo 
 
 29 
 
 227-79991 
 
 6-18517 
 
 6-291 
 
 4-42 
 
 4-5114 
 
 4-5229 
 
 0-86 
 
 0-85 
 
 4-16 
 
 18-68 
 
 1 19-00 
 
 30 
 
 278-11755 
 
 0-13424 
 
 7-291 
 
 5-42 
 
 5-5"4 
 
 5-5229 
 
 1-86 
 
 1-85 
 
 5-16 
 
 19-68 
 
 I2O'OO 
 
 May 1 
 
 328-43520 
 
 1-13424 
 
 8-291 
 
 6-42 
 
 6-5114 
 
 6-5229 
 
 2-86 
 
 2-85 
 
 6-16 
 
 20-68 
 
 I2TOO 
 
 2 
 
 18-75285 
 
 2-13424 
 
 9-291 
 
 0-26 
 
 o-3559 
 
 0-3681 
 
 3-86 
 
 3-85 
 
 7-16 
 
 21-68 
 
 I22-OO 
 
 3 
 
 69^07049 
 
 3-134*4 
 
 IO-29I 
 
 1-26 
 
 1-3559 
 
 1-3681 
 
 4-86 
 
 4-85 
 
 0-99 
 
 22-68 
 
 I23-OO 
 
 4 
 
 119-38814 
 
 4-13424 
 
 II-29I 
 
 2-26 
 
 2-3559 
 
 2-3681 
 
 5-86 
 
 5-85 
 
 1-99 
 
 23-68 
 
 124-00 
 
 5 
 
 169-70579 
 
 5 -I 34 2 4 
 
 I2-29I 
 
 3-26 
 
 3-3559 
 
 3-3681 
 
 6-86 
 
 6-85 
 
 2'99 
 
 24-68 
 
 I25-OO 
 
 6 
 
 220-02343 
 
 6-13424 
 
 0-/68 
 
 4-26 
 
 4-3559 
 
 4-3681 
 
 0-91 
 
 0-90 
 
 3-99 
 
 25-68 
 
 I26-OO 
 
 7 
 
 270-34108 
 
 0-08331 
 
 1768 
 
 5-26 
 
 5-3559 
 
 5-368I 
 
 1-91 
 
 1-90 
 
 4^9 
 
 26-68 
 
 I27-OO 
 
 8 
 
 320-65873 
 
 1-08331 
 
 2768 
 
 6-26 
 
 6-3559 
 
 6-3681 
 
 2-91 
 
 2-90 
 
 5-99 
 
 27-68 
 
 I28-00 
 
 9 
 
 10-97637 
 
 2-08331 
 
 3768 
 
 O'lO 
 
 0-2003 
 
 0-2133 
 
 3-9 1 
 
 3-90 
 
 6-99 
 
 28-68 
 
 I29-OO 
 
 1O 
 
 61-29402 
 
 3-08331 
 
 4 - 7 68 
 
 I-IO 
 
 1-2003 
 
 I-2I33 
 
 4-91 
 
 4-90 
 
 0-8 1 
 
 29-68 
 
 I30-OO 
 
 11 
 
 1 1 1 '6 u 66 
 
 4-08331 
 
 5768 
 
 Z'lO 
 
 2-2003 
 
 2-2133 
 
 5-91 
 
 5-90 
 
 1-81 
 
 30-68 
 
 I3I-OO 
 
 12 
 
 161-92931 
 
 5-08331 
 
 6-768 
 
 3-10 
 
 3-2003 
 
 3-2133 
 
 6-91 
 
 6-90 
 
 2-81 
 
 31-68 
 
 I32-OO 
 
 13 
 
 212-24696 
 
 6-08331 
 
 7768 
 
 4-10 
 
 4-2003 
 
 4-2133 
 
 0-96 
 
 0-95 
 
 3'8i 
 
 32-68 
 
 I33-00 
 
 14 
 
 262-56460 
 
 0-03238 
 
 8768 
 
 5-10 
 
 5-2003 
 
 5-2133 
 
 1-96 
 
 1-95 
 
 4-81 
 
 33-68 
 
 I34-OO 
 
 15 
 
 312-88225 
 
 1-03238 
 
 9-768 
 
 6-10 
 
 6-2003 
 
 6-2133 
 
 2-96 
 
 2-95 
 
 5-81 
 
 34-68 
 
 135 oo 
 
 16 
 
 3-19990 
 
 2-03238 
 
 10-768 
 
 7-10 
 
 0-0448 
 
 0-0585 
 
 3-96 
 
 3-95 
 
 6-81 
 
 35-68 
 
 136-00 
 
 17 
 
 53-5I754 
 
 3-03238 
 
 II768 
 
 0-94 
 
 i -0448 
 
 1-0585 
 
 4-96 
 
 4-95 
 
 0-63 
 
 36-68 
 
 137-00 
 
 18 
 
 103-83519 
 
 4-03238 
 
 0-244 
 
 1-94 
 
 2-0448 
 
 2-0585 
 
 5-96 
 
 5'95 
 
 1-63 
 
 37-68 
 
 138-00 
 
 19 
 
 154-15283 
 
 5-03238 
 
 1-244 
 
 2-94 
 
 3-0448 
 
 3-0585 
 
 o-oi 
 
 o-oo 
 
 2-63 
 
 38-68 
 
 139-00 
 
 20 
 
 204-47048 
 
 6-03238 
 
 2-244 
 
 3-94 
 
 4-0448 
 
 4-0585 
 
 I-OI 
 
 I'OO 
 
 3-63 
 
 39-68 
 
 140-00 
 
 21 
 
 25478813 
 
 7-03238 
 
 3-M4 
 
 4'94 
 
 5-0448 
 
 5-0 5 85 
 
 2'OI 
 
 2"OO 
 
 4-63 
 
 40-68 
 
 141-00 
 
 22 
 
 305-10577 
 
 0-98146 
 
 4-244 
 
 S'94 
 
 6-0448 
 
 6-0585 
 
 3-01 
 
 3-00 
 
 5-63 
 
 41-68 
 
 142-00 
 
 23 
 
 355-4234-2 
 
 1-98146 
 
 5-244 
 
 6-94 
 
 7-0448 
 
 7-0585 
 
 4"oi 
 
 4-00 
 
 6-63 
 
 42-68 
 
 143-00 
 
 24 
 
 45-74107 
 
 2-98146 
 
 6-244 
 
 o-77 
 
 0-8893 
 
 0-9037 
 
 5-01 
 
 5-00 
 
 0-45 
 
 43-68 
 
 144-00 
 
 25 
 
 96-05871 
 
 3-98146 
 
 7-H4 
 
 1-77 
 
 1-8893 
 
 I-9037 
 
 6'oi 
 
 6-00 
 
 I- 45 
 
 44-68 
 
 145-00 
 
 26 
 
 146-37636 
 
 4-98146 
 
 8-244 
 
 2-77 
 
 2-8893 
 
 2-9037 
 
 0-06 
 
 0-05 
 
 2-45 
 
 45-68 
 
 146-00 
 
 27 
 
 196-69400 
 
 5-98146 
 
 9-244 
 
 377 
 
 3-8893 
 
 3'937 
 
 1-06 
 
 1-05 
 
 3'45 
 
 46-68 
 
 147-00 
 
 28 
 
 247-01165 
 
 6-98146 
 
 IO-244 
 
 4'77 
 
 4-8893 
 
 4-9037 
 
 2-06 
 
 2-05 
 
 4-45 
 
 47-68 
 
 148-00 
 
 29 
 
 297-32930 
 
 0-93053 
 
 11-244 
 
 577 
 
 5-8893 
 
 5-9037 
 
 3-06 
 
 3-05 
 
 5'45 
 
 48-68 
 
 149-00 
 
 3O 
 
 347-64694 
 
 1-93053 
 
 12-244 
 
 677 
 
 6-8893 
 
 6-9037 
 
 4-06 
 
 4-05 
 
 6-45 
 
 49-68 
 
 I 50-00 
 
 31 
 
 37-9 6 459 
 
 z-93053 
 
 O'72I 
 
 o'6i 
 
 o-7337 
 
 0-7488 
 
 5-06 
 
 5-05 
 
 0-28 
 
 0'53 
 
 151-00 
 
 June 1 
 
 88-28224 
 
 3-93053 
 
 1721 
 
 1-61 
 
 17337 
 
 17488 
 
 6-06 
 
 6-05 
 
 1-28 
 
 i'53 
 
 152-00 
 
 2 
 
 138-59988 
 
 4-93053 
 
 2-721 
 
 2-61 
 
 27337 
 
 2-7488 
 
 o- 
 
 o-io 
 
 2-28 
 
 2-53 
 
 153-00 
 
 3 
 
 188-91753 
 
 5-93053 
 
 3721 
 
 3-61 
 
 37337 
 
 37488 
 
 r 
 
 no 
 
 3-28 
 
 3'53 
 
 154-00 
 
 4 
 
 239' 2 357 
 
 6-93053 
 
 4721 
 
 4-61 
 
 47337 
 
 4-7488 
 
 2" 
 
 2'IO 
 
 4-28 
 
 4'53 
 
 155-00 
 
 5 
 
 289-55282 
 
 0-87960 
 
 5-72I 
 
 5-6. 
 
 57337 
 
 5-7488 
 
 3' 
 
 3-10 
 
 5-28 
 
 5-53 
 
 156-00 
 
 6 
 
 339-87047 
 
 1-87960 
 
 6-721 
 
 6-61 
 
 6-7337 
 
 67488 
 
 4" 
 
 4-10 
 
 6-28 
 
 6-53 
 
 157-00 
 
 7 
 
 30-18811 
 
 2-87960 
 
 7721 
 
 0-45 
 
 0-5782 
 
 0-5940 
 
 5' 
 
 5-10 
 
 o-io 
 
 7-53 
 
 158-00 
 
 In Leap Year diminish the date in Columns i, 13, by i day after Feb. 28. 
 1 60 
 
SATELLITE III 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XII continued Motions of Mean Longitude and the Arguments for Days 
 
 '3 
 
 '4 
 
 5 
 
 16 
 
 '7 
 
 18 
 
 '9 
 
 20 
 
 21 
 
 22 
 
 Day 
 
 N 
 
 o 
 
 P 
 
 Q 
 
 R 
 
 s 
 
 T 
 
 u 
 
 V 
 
 April 17 
 
 y 
 0-3 
 
 d 
 6-83626 
 
 d 
 3-29 
 
 d 
 3-266 
 
 d 
 3-26 
 
 d 
 6-8502 
 
 d 
 6-90 
 
 d 
 
 6-840 
 
 d 
 
 6-5 
 
 18 
 
 0-3 
 
 0'68l7I 
 
 072 
 
 0-689 
 
 0-68 
 
 0-6967 
 
 075 
 
 0-686 
 
 0-3 
 
 19 
 
 O'J 
 
 I-68I7I 
 
 1-72 
 
 1-689 
 
 1-68 
 
 1-6967 
 
 175 
 
 1-686 
 
 '3 
 
 2O 
 
 0-3 
 
 2-68I7I 
 
 272 
 
 2-689 
 
 2-68 
 
 2-6967 
 
 275 
 
 2-686 
 
 2'3 
 
 21 
 
 0-3 
 
 3-68I7I 
 
 O r I4 
 
 O-II2 
 
 o-ii 
 
 3-6967 
 
 375 
 
 3-686 
 
 3'3 
 
 22 
 
 0-3 
 
 4-68171 
 
 I-I 4 
 
 ri 12 
 
 i-ii 
 
 4-6967 
 
 475 
 
 4-686 
 
 4'3 
 
 23 
 
 0-3 
 
 5-68I7I 
 
 2-14 
 
 2*112 
 
 2-II 
 
 5-6967 
 
 575 
 
 5-686 
 
 5'3 
 
 24 
 
 0-3 
 
 6-68I7I 
 
 3-14 
 
 3-112 
 
 3-u 
 
 6-6967 
 
 675 
 
 6-686 
 
 6-3 
 
 25 
 
 o'3 
 
 0'527l6 
 
 0-56 
 
 o-535 
 
 0-53 
 
 0< 543i 
 
 0-60 
 
 o - 53' 
 
 o- 
 
 26 
 
 o'3 
 
 I-527I6 
 
 I- S 6 
 
 ''535 
 
 ''S3 
 
 J'5431 
 
 i -60 
 
 i-53i 
 
 r 
 
 27 
 
 0-3 
 
 2-527I6 
 
 2- S 6 
 
 2-535 
 
 2-53 
 
 2'543i 
 
 2-60 
 
 2-531 
 
 2' 
 
 28 
 
 0-3 
 
 3-52716 
 
 3-56 
 
 3-535 
 
 3-53 
 
 3-543I 
 
 3-60 
 
 3-53i 
 
 3' 
 
 29 
 
 0-3 
 
 4-527I6 
 
 0-99 
 
 0-958 
 
 0-95 
 
 4^431 
 
 4-60 
 
 4-53i 
 
 4' 
 
 30 
 
 0-3 
 
 5-527I6 
 
 1-99 
 
 1-958 
 
 1-95 
 
 5-543I 
 
 5-60 
 
 S'SSi 
 
 r 
 
 May 1 
 
 0-3 
 
 6-52716 
 
 2- 99 
 
 2-958 
 
 2-95 
 
 6-543I 
 
 6-60 
 
 6-53i 
 
 6- 
 
 2 
 
 0-3 
 
 0-37260 
 
 0-41 
 
 0-381 
 
 0-37 
 
 0-3896 
 
 0-45 
 
 o-377 
 
 O'O 
 
 3 
 
 o-3 
 
 I-3726O 
 
 I-4I 
 
 1-381 
 
 i-37 
 
 1-3896 
 
 i-45 
 
 i-377 
 
 ro 
 
 4 
 
 0-3 
 
 2-37260 
 
 2-41 
 
 2-381 
 
 2-37 
 
 2-3896 
 
 2-45 
 
 2-377 
 
 2-0 
 
 5 
 
 0-3 
 
 3-37260 
 
 3'4' 
 
 3-38i 
 
 3'37 
 
 3-3896 
 
 3-45 
 
 3-377 
 
 3-0 
 
 6 
 
 0-3 
 
 4'37260 
 
 0-84 
 
 0-804 
 
 0-80 
 
 4-3896 
 
 4-45 
 
 4-377 
 
 4-0 
 
 7 
 
 0-3 
 
 5-37260 
 
 1-84 
 
 1-804 
 
 1-80 
 
 5-3896 
 
 5-45 
 
 5-377 
 
 5'o 
 
 8 
 
 0-4 
 
 6-37260 
 
 2-84 
 
 2-804 
 
 2-80 
 
 6-3896 
 
 6-45 
 
 6-377 
 
 6-0 
 
 9 
 
 0-4 
 
 O-2I805 
 
 0-26 
 
 0-227 
 
 0-22 
 
 0-2360 
 
 0-30 
 
 0-223 
 
 7-0 
 
 10 
 
 0-4 
 
 I-2I8O5 
 
 1-26 
 
 1-227 
 
 I'22 
 
 1-2360 
 
 1-30 
 
 1-223 
 
 0-8 
 
 11 
 
 0-4 
 
 2-2I8O5 
 
 2-26 
 
 2-227 
 
 2-22 
 
 2-2360 
 
 4-30 
 
 2-223 
 
 1-8 
 
 12 
 
 0-4 
 
 3-2I805 
 
 3-26 
 
 3-227 
 
 3-22 
 
 3-2360 
 
 3-3 
 
 3-223 
 
 2-8 
 
 13 
 
 0-4 
 
 4-2I8O5 
 
 0-68 
 
 0-650 
 
 0-64 
 
 4-2360 
 
 4-30 
 
 4-223 
 
 3'8 
 
 14 
 
 0-4 
 
 5-2I805 
 
 1-68 
 
 1-650 
 
 1-64 
 
 5-2360 
 
 5-3 
 
 5-223 
 
 4-8 
 
 15 
 
 0-4 
 
 6-2I8O5 
 
 2-68 
 
 2-650 
 
 2-64 
 
 6-2360 
 
 6-30 
 
 6-223 
 
 5-8 
 
 16 
 
 0-4 
 
 O-O635O 
 
 O'll 
 
 0-073 
 
 0-07 
 
 0-0824 
 
 0-15 
 
 0-068 
 
 6-8 
 
 17 
 
 0-4 
 
 I-O635O 
 
 i'i i 
 
 1-073 
 
 1-07 
 
 1-0824 
 
 1-15 
 
 i -068 
 
 0-6 
 
 18 
 
 0-4 
 
 2-06350 
 
 2-n 
 
 2-073 
 
 2-O7 
 
 2-0824 
 
 2-15 
 
 2-068 
 
 1-6 
 
 19 
 
 0-4 
 
 3-06350 
 
 3' 11 
 
 3-073 
 
 3-07 
 
 3-0824 
 
 3-i5 
 
 3-068 
 
 2-6 
 
 20 
 
 0-4 
 
 4-06350 
 
 0'53 
 
 0-496 
 
 0-49 
 
 4-0824 
 
 4-'5 
 
 4-068 
 
 S 1 
 
 21 
 
 0-4 
 
 5-06350 
 
 i'S3 
 
 1-496 
 
 1-49 
 
 5-0824 
 
 5-'5 
 
 5-068 
 
 4'6 
 
 22 
 
 0-4 
 
 6-06350 
 
 2-53 
 
 2-496 
 
 2-49 
 
 6-0824 
 
 6-15 
 
 6-068 
 
 5-6 
 
 23 
 
 0-4 
 
 7-06350 
 
 3-53 
 
 3'49 6 
 
 3'49 
 
 7-0824 
 
 O'OO 
 
 7-068 
 
 6-6 
 
 24 
 
 0-4 
 
 0-90894 
 
 0-96 
 
 0-919 
 
 O-gi 
 
 0-9289 
 
 i-oo 
 
 0-914 
 
 0-4 
 
 25 
 
 0-4 
 
 1-90894 
 
 1-96 
 
 1-919 
 
 P 9 I 
 
 1-9289 
 
 2-OO 
 
 1-914 
 
 i'4 
 
 26 
 
 0-4 
 
 2-90894 
 
 2-96 
 
 2-919 
 
 2-9I 
 
 2-9289 
 
 3'OO 
 
 2-914 
 
 2-4 
 
 27 
 
 0-4 
 
 3-90894 
 
 0-38 
 
 0-342 
 
 0-33 
 
 3-9289 
 
 4-00 
 
 3'9H 
 
 3'4 
 
 28 
 
 0-4 
 
 4-90894 
 
 1-38 
 
 '342 
 
 1-33 
 
 4-9289 
 
 5'OO 
 
 4-914 
 
 4'4 
 
 29 
 
 0-4 
 
 5-90894 
 
 *-38 
 
 2-342 
 
 2-33 
 
 5-9289 
 
 6-00 
 
 5"9'4 
 
 5 - 4 
 
 30 
 
 0-4 
 
 6-90894 
 
 3-38 
 
 3'34 2 
 
 3'33 
 
 6-9289 
 
 7-00 
 
 6-914 
 
 6-4 
 
 31 
 
 0-4 
 
 075439 
 
 0-80 
 
 0-765 
 
 076 
 
 . 07753 
 
 0-85 
 
 0-760 
 
 0-3 
 
 June 1 
 
 0-4 
 
 175439 
 
 i -80 
 
 1-765 
 
 I 7 6 
 
 17753 
 
 1-85 
 
 1-760 
 
 i'3 
 
 2 
 
 o*4 
 
 *75439 
 
 2-80 
 
 2765 
 
 2-76 
 
 2-7753 
 
 2-85 
 
 2-760 
 
 2'3 
 
 3 
 
 0-4 
 
 375439 
 
 0-23 
 
 0-188 
 
 O'l8 
 
 37753 
 
 3-85 
 
 3-760 
 
 3'3 
 
 4 
 
 0*4 
 
 475439 
 
 1-23 
 
 1-188 
 
 1-18 
 
 47753 
 
 4-85 
 
 4-760 
 
 4'3 
 
 5 
 
 0-4 
 
 575439 
 
 2-23 
 
 2-188 
 
 2-18 
 
 S'7753 
 
 5-85 
 
 5-760 
 
 5'3 
 
 6 
 7 
 
 0-4 
 0-4 
 
 675439 
 0-59984 
 
 3-23 
 0-65 
 
 3-188 
 o'6u 
 
 3-18 
 0-60 
 
 6-7753 
 0-6218 
 
 6-85 
 
 0-70 
 
 6-760 
 0-605 
 
 6-3 
 
 O'l 
 
 In leap Year diminish the date in Columns i, 13, by i day after Feb. 28. 
 161 
 
SATELLITE III 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XII continued Motions of Mean Longitude and the Arguments for Days 
 
 I 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 IO 
 
 ii 
 
 12 
 
 Day 
 
 Mean Long. 
 
 A 
 
 B 
 
 c 
 
 D 
 
 E 
 
 F 
 
 G 
 
 H 
 
 1 
 
 J-a 
 
 June 8 
 
 
 
 80-50576 
 
 d 
 3-87960 
 
 d 
 8-721 
 
 d 
 1-45 
 
 d 
 I-5782 
 
 d 
 I-5940 
 
 d 
 
 6-11 
 
 d 
 
 6-io 
 
 d 
 I-IO 
 
 d 
 
 8-53 
 
 d 
 I59-OO 
 
 9 
 
 130-82341 
 
 4-87960 
 
 9-72I 
 
 2-45 
 
 2-5782 
 
 2-5940 
 
 0-17 
 
 0-15 
 
 2'IO 
 
 9'53 
 
 IDO'OO 
 
 1O 
 
 181-14105 
 
 5-87960 
 
 IO-72I 
 
 3'45 
 
 3 -5 7 82 
 
 3'594 
 
 1-17 
 
 1-15 
 
 3-10 
 
 10-53 
 
 161-00 
 
 11 
 
 231-45870 
 
 6-87960 
 
 II-72I 
 
 4'45 
 
 4-5782 
 
 4-5940 
 
 2-17 
 
 2-15 
 
 4-IO 
 
 H'53 
 
 162-00 
 
 12 
 
 281-77635 
 
 0-82868 
 
 0-198 
 
 5'45 
 
 5-5782 
 
 5-5940 
 
 3-I7 
 
 3-i5 
 
 5-10 
 
 iz'53 
 
 163-00 
 
 13 
 
 332-09399 
 
 1-82868 
 
 I-igS 
 
 6-45 
 
 6-5782 
 
 6-5940 
 
 4 -I 7 
 
 4-I5 
 
 6-10 
 
 I3-53 
 
 164-00 
 
 14 
 
 22-41164 
 
 2-82868 
 
 2-198 
 
 0-29 
 
 0-4227 
 
 0-4392 
 
 5-17 
 
 S-iS 
 
 7-10 
 
 I4-53 
 
 165-00 
 
 15 
 
 72-72928 
 
 3-82868 
 
 3-I98 
 
 1-29 
 
 I-4227 
 
 I-4392 
 
 6-17 
 
 6-15 
 
 0-92 
 
 I 5'53 
 
 i66'oo 
 
 16 
 
 123-04693 
 
 4-82868 
 
 4-I 9 8 
 
 2-29 
 
 2-4227 
 
 2-4392 
 
 O'22 
 
 O-2O 
 
 1-92 
 
 16-53 
 
 167-00 
 
 17 
 
 173-36458 
 
 5-82868 
 
 5-I 9 8 
 
 3-2 9 
 
 3-4227 
 
 3'439 2 
 
 I '22 
 
 I-2O 
 
 2-92 
 
 I7-53 
 
 168-00 
 
 18 
 
 223-68222 
 
 6-82868 
 
 6-198 
 
 4-29 
 
 4-4227 
 
 4'439 2 
 
 2-22 
 
 2-20 
 
 3'9 2 
 
 i8'53 
 
 169-00 
 
 19 
 
 273-99987 
 
 077775 
 
 7-'98 
 
 5-29 
 
 5-4227 
 
 5'439 2 
 
 3-22 
 
 3-20 
 
 4-92 
 
 '9'53 
 
 170-00 
 
 20 
 
 3 2 4'3i75 2 
 
 1-77775 
 
 8-198 
 
 6-29 
 
 6-4227 
 
 6-4392 
 
 4'22 
 
 4-20 
 
 5-92 
 
 20-53 
 
 1"! '00 
 
 21 
 
 14-63516 
 
 2-77775 
 
 9-198 
 
 0-13 
 
 O'267I 
 
 0-2844 
 
 5'22 
 
 5-20 
 
 6-92 
 
 21-53 
 
 172-00 
 
 22 
 
 64-95281 
 
 377775 
 
 10-198 
 
 I-I3 
 
 1-2671 
 
 1-2844 
 
 6-22 
 
 6-20 
 
 0-75 
 
 22 '53 
 
 173-00 
 
 23 
 
 115-27045 
 
 477775 
 
 II-I98 
 
 2-'3 
 
 2-267I 
 
 2-2844 
 
 0-27 
 
 0-25 
 
 1-75 
 
 23-53 
 
 174-00 
 
 24 
 
 165-58810 
 
 577775 
 
 12-198 
 
 3-I3 
 
 3-2671 
 
 3 12 844 
 
 1-27 
 
 1-25 
 
 275 
 
 24'53 
 
 175-00 
 
 25 
 
 215-90575 
 
 677775 
 
 0-675 
 
 4-I3 
 
 4-2671 
 
 4-2844 
 
 2-27 
 
 2-25 
 
 375 
 
 25-53 
 
 176-00 
 
 26 
 
 266-22339 
 
 0-72682 
 
 1-675 
 
 S''3 
 
 5-267I 
 
 5-2844 
 
 3' 2 7 
 
 3-25 
 
 475 
 
 26-53 
 
 177-00 
 
 27 
 
 316-54104 
 
 1-72682 
 
 2-675 
 
 6-13 
 
 6-2671 
 
 6-2844 
 
 4-27 
 
 4' 2 5 
 
 575 
 
 2 7'53 
 
 178-00 
 
 28 
 
 6-85869 
 
 2-72682 
 
 3'675 
 
 7-13 
 
 o - i 116 
 
 0-1296 
 
 5-27 
 
 5'ZS 
 
 675 
 
 z8'53 
 
 179-00 
 
 29 
 
 57-17633 
 
 3-72682 
 
 4-675 
 
 0-97 
 
 i-i 116 
 
 1-1296 
 
 6-27 
 
 6-25 
 
 0-57 
 
 2 9'53 
 
 180-00 
 
 3O 
 
 107-49398 
 
 4-72682 
 
 5-675 
 
 1-97 
 
 2'IIl6 
 
 2-1296 
 
 0-32 
 
 0-30 
 
 1-57 
 
 30-53 
 
 181-00 
 
 July 1 
 
 157-81162 
 
 5-72682 
 
 6-675 
 
 2-97 
 
 3"n 16 
 
 3-1296 
 
 1-32 
 
 1-30 
 
 2-57 
 
 3i->3 
 
 182-00 
 
 2 
 
 208-12927 
 
 6-72682 
 
 7-675 
 
 3^7 
 
 4-1116 
 
 4-1296 
 
 2-32 
 
 2-30 
 
 3-57 
 
 3 2 '53 
 
 183-00 
 
 
 
 
 
 
 
 
 
 
 
 
 
 3 
 
 258-44692 
 
 0-67589 
 
 8-675 
 
 4'97 
 
 5-1116 
 
 5-1296 
 
 3'3 2 
 
 3-30 
 
 4-57 
 
 33-53 
 
 184-00 
 
 4 
 
 308-76456 
 
 1-67589 
 
 9-675 
 
 5^7 
 
 6-1116 
 
 6-1296 
 
 4-32 
 
 4-30 
 
 5'57 
 
 34'53 
 
 185-00 
 
 5 
 
 359-08221 
 
 2-67589 
 
 10-675 
 
 6-97 
 
 7-1116 
 
 7-1296 
 
 5'3 2 
 
 5-30 
 
 6-57 
 
 35-53 
 
 186-00 
 
 6 
 
 49-39986 
 
 3-67589 
 
 11-675 
 
 0-81 
 
 0-9561 
 
 0-9747 
 
 6-32 
 
 6-30 
 
 0-39 
 
 36-53 
 
 187-00 
 
 7 
 
 99-71750 
 
 4-67589 
 
 0-151 
 
 1-81 
 
 1-9561 
 
 1-9747 
 
 0'37 
 
 o-35 
 
 i-39 
 
 37-53 
 
 188-00 
 
 8 
 
 150-03515 
 
 5-67589 
 
 1-151 
 
 2-81 
 
 2-9561 
 
 2-9747 
 
 i'37 
 
 1-35 
 
 2 '39 
 
 38-53 
 
 189-00 
 
 9 
 
 200-35280 
 
 6-67589 
 
 2-151 
 
 3-8i 
 
 3-9561 
 
 3-9747 
 
 2 '37 
 
 2-35 
 
 3-39 
 
 39-53 
 
 190-00 
 
 10 
 
 250-67044 
 
 0-62497 
 
 3-iS 1 
 
 4-81 
 
 4-9561 
 
 4*9747 
 
 3-37 
 
 3'35 
 
 4-39 
 
 4-53 
 
 191-00 
 
 11 
 
 300-98809 
 
 1-62497 
 
 4 '51 
 
 5-81 
 
 5-9561 
 
 5-9747 
 
 4-37 
 
 4-35 
 
 5-39 
 
 41-53 
 
 192-00 
 
 12 
 
 35I-30573 
 
 2-62497 
 
 5-151 
 
 6-8 1 
 
 6-9561 
 
 6-9747 
 
 5-37 
 
 5'35 
 
 6-39 
 
 42-53 
 
 193-00 
 
 13 
 
 41-62338 
 
 3-62497 
 
 6-151 
 
 0-65 
 
 0-8005 
 
 0-8199 
 
 6-37 
 
 6-35 
 
 0'2 I 
 
 43*53 
 
 194-00 
 
 14 
 
 91-94103 
 
 4-62497 
 
 7-151 
 
 1-65 
 
 1-8005 
 
 1-8199 
 
 0-42 
 
 0-40 
 
 I '2 I 
 
 44'53 
 
 195-00 
 
 15 
 
 142-25867 
 
 5-62497 
 
 8-151 
 
 2-65 
 
 2-8005 
 
 2-8199 
 
 1-42 
 
 1-40 
 
 2'2I 
 
 45-53 
 
 196-00 
 
 16 
 
 192-57632 
 
 6*62497 
 
 9-151 
 
 3-65 
 
 3-8005 
 
 3-8199 
 
 2-42 
 
 2-40 
 
 3'2I 
 
 46-53 
 
 197-00 
 
 17 
 
 242-89397 
 
 0-57404 
 
 10-151 
 
 4-65 
 
 4-8005 
 
 4-8199 
 
 3'4 2 
 
 3'4 
 
 4'2I 
 
 47-53 
 
 198-00 
 
 18 
 
 293-21161 
 
 1-57404 
 
 11-151 
 
 5-65 
 
 5-8005 
 
 5-8199 
 
 4-42 
 
 4-40 
 
 5-21 
 
 48-S3 
 
 199-00 
 
 19 
 
 343-52926 
 
 2-57404 
 
 12-151 
 
 6-65 
 
 6-8005 
 
 6 8199 
 
 5-42 
 
 5-40 
 
 6-21 
 
 49'53 
 
 200-00 
 
 2O 
 
 33-84690 
 
 3-57404 
 
 0-628 
 
 0-48 
 
 0-6450 
 
 0-6651 
 
 6-42 
 
 6-40 
 
 0-04 
 
 o-37 
 
 201 -OO 
 
 21 
 
 84-16455 
 
 4-57404 
 
 1-628 
 
 1-48 
 
 1-6450 
 
 1-6651 
 
 0-47 
 
 0-45 
 
 1-04 
 
 i-37 
 
 2O2-OO 
 
 22 
 
 134-48220 
 
 5-574 4 
 
 2-628 
 
 2-48 
 
 2-6450 
 
 2-6651 
 
 i-47 
 
 I- 45 
 
 2-04 
 
 2-37 
 
 203-OO 
 
 23 
 
 18479984 
 
 6-57404 
 
 3-628 
 
 3-48 
 
 3'645o 
 
 3-6651 
 
 2-47 
 
 2-45 
 
 3-04 
 
 3-37 
 
 204-00 
 
 24 
 
 235-11749 
 
 0-52311 
 
 4-628 
 
 4-48 
 
 4-6450 
 
 4-6651 
 
 3-47 
 
 3'45 
 
 4-04 
 
 4-37 
 
 2O5-OO 
 
 25 
 
 28 5'435H 
 
 1-52311 
 
 5-628 
 
 5-48 
 
 5-6450 
 
 5-6651 
 
 4'47 
 
 4'45 
 
 5-04 
 
 5'37 
 
 2O6-OO 
 
 26 
 
 33575*78 
 
 2-52311 
 
 6-628 
 
 648 
 
 6-6450 
 
 6-6651 
 
 5^7 
 
 5H5 
 
 6-04 
 
 6-37 
 
 207-00 
 
 27 
 
 26-07043 
 
 3-52311 
 
 7-628 
 
 0-32 
 
 0-4895 
 
 0-5103 
 
 6-47 
 
 6-45 
 
 7-04 
 
 7'37 
 
 2O8-OO 
 
 28 
 
 76-38807 
 
 4-52311 
 
 8-628 
 
 1-32 
 
 1-4895 
 
 1-5103 
 
 0-52 
 
 0-50 
 
 0-86 
 
 8-37 
 
 2O9-OO 
 
 29 
 
 126-70572 
 
 5-52311 
 
 9-628 
 
 2- 3 Z 
 
 2-4895 
 
 2-5103 
 
 1-52 
 
 1-50 
 
 r86 
 
 9'37 
 
 2IO'OO 
 
 
 
 
 
 
 
 
 
 
 
 
 
 In Leap Year diminish the date in Columns i, 13, by i day after Feb. 28 
 162 
 
SATELLITE III 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XII continued Motions of Mean Longitude and the Arguments for Days 
 
 '3 
 
 "4 
 
 '5 
 
 16 
 
 17 
 
 18 
 
 19 
 
 20 
 
 21 
 
 22 
 
 Day 
 
 N 
 
 
 
 p 
 
 Q 
 
 R 
 
 s 
 
 T 
 
 u 
 
 V 
 
 June 8 
 
 y 
 0-4 
 
 d 
 1-59984 
 
 d 
 
 1-65 
 
 d 
 
 1*611 
 
 d 
 I -60 
 
 d 
 I-62I8 
 
 d 
 
 I-70 
 
 d 
 I-6O5 
 
 d 
 I- 
 
 9 
 
 0-4 
 
 2-59984 
 
 2-65 
 
 2'6l I 
 
 2 '60 
 
 2-62I8 
 
 270 
 
 2-605 
 
 2- 
 
 1O 
 
 0-4 
 
 3-59984 
 
 0-07 
 
 0-034 
 
 0-03 
 
 3-6218 
 
 3-70 
 
 3-605 
 
 3' 
 
 11 
 
 0-4 
 
 4-59984 
 
 1-07 
 
 1-034 
 
 1-03 
 
 4-6218 
 
 4-70 
 
 4-605 
 
 4' 
 
 12 
 
 0-4 
 
 5-59984 
 
 2-07 
 
 2-034 
 
 2-03 
 
 5-6218 
 
 570 
 
 5-605 
 
 5' 
 
 13 
 
 0-4 
 
 6-59984 
 
 3-07 
 
 3-034 
 
 3^3 
 
 6-62I8 
 
 6-70 
 
 6-605 
 
 6- 
 
 14 
 
 o-S 
 
 0-44529 
 
 0-50 
 
 0-457 
 
 0-45 
 
 0-4682 
 
 o'S 5 
 
 0-451 
 
 T 
 
 15 
 
 0-5 
 
 1-44529 
 
 1-50 
 
 1-457 
 
 i'45 
 
 1-4682 
 
 ''55 
 
 I-45I 
 
 0-9 
 
 16 
 
 o'S 
 
 2-44529 
 
 2-50 
 
 2-457 
 
 2-45 
 
 2-4682 
 
 2'SS 
 
 2-451 
 
 1-9 
 
 17 
 
 o'S 
 
 3H4529 
 
 3-50 
 
 3-457 
 
 3 '45 
 
 3-4682 
 
 3'55 
 
 3H5I 
 
 2-9 
 
 18 
 
 0-5 
 
 4-44529 
 
 0-92 
 
 0-880 
 
 0-87 
 
 4-4682 
 
 4'55 
 
 4-45I 
 
 3 '9 
 
 19 
 
 0-5 
 
 5-44529 
 
 1-92 
 
 1-880 
 
 1-87 
 
 5-4682 
 
 S'55 
 
 5'45I 
 
 4'9 
 
 20 
 
 0-5 
 
 6-44529 
 
 2-92 
 
 2-880 
 
 2-87 
 
 6-4682 
 
 6-55 
 
 6-451 
 
 5-9 
 
 21 
 
 0-5 
 
 0-29073 
 
 0-35 
 
 0-303 
 
 0-29 
 
 0-3147 
 
 0-40 
 
 0-297 
 
 6-9 
 
 22 
 
 O'S 
 
 I-29073 
 
 i'35 
 
 1-303 
 
 1-29 
 
 I'3H7 
 
 1-40 
 
 1-297 
 
 07 
 
 23 
 
 o'S 
 
 2-29073 
 
 2-35 
 
 2-303 
 
 2-29 
 
 2-3147 
 
 2-40 
 
 2-297 
 
 '7 
 
 24 
 
 0-5 
 
 3'29073 
 
 3'35 
 
 3-303 
 
 3'29 
 
 3'3'47 
 
 3 '40 
 
 3-297 
 
 27 
 
 25 
 
 o'S 
 
 4-29073 
 
 0-77 
 
 0-726 
 
 0-72 
 
 4-3H7 
 
 4-40 
 
 4-297 
 
 37 
 
 26 
 
 o-S 
 
 5-29073 
 
 177 
 
 1-726 
 
 172 
 
 5'3H7 
 
 5-40 
 
 5-297 
 
 47 
 
 27 
 
 o'S 
 
 6-29073 
 
 2-77 
 
 2-726 
 
 272 
 
 6-3147 
 
 6-40 
 
 6-297 
 
 57 
 
 28 
 
 o'S 
 
 0-13618 
 
 0-19 
 
 0-149 
 
 0-14 
 
 0-1611 
 
 0-25 
 
 0-143 
 
 67 
 
 29 
 
 o'S 
 
 I-I36l8 
 
 1-19 
 
 1-149 
 
 1-14 
 
 1-161 1 
 
 1-25 
 
 I-I43 
 
 '5 
 
 30 
 
 0-5 
 
 2-13618 
 
 2-19 
 
 2-149 
 
 2-14 
 
 2'l6ll 
 
 2-25 
 
 2-143 
 
 n 
 
 July 1 
 
 o-S 
 
 3-13618 
 
 
 3-I49 
 
 3-14 
 
 3-1611 
 
 3'25 
 
 3''43 
 
 2-5 
 
 2 
 
 0-5 
 
 4-13618 
 
 0-62 
 
 0-572 
 
 0-56 
 
 4-1611 
 
 4'2S 
 
 4-143 
 
 3'5 
 
 3 
 
 0-5 
 
 5-13618 
 
 1-62 
 
 1-572 
 
 1-56 
 
 5-1611 
 
 5' 2 5 
 
 5-I43 
 
 4'5 
 
 4 
 
 
 6-13618 
 
 2-62 
 
 2-572 
 
 2-56 
 
 6-1611 
 
 6-25 
 
 6-143 
 
 S'S 
 
 5 
 
 0-5 
 
 7-13618 
 
 0-04 
 
 3-572 
 
 3'56 
 
 0-0076 
 
 O'lO 
 
 7'H3 
 
 6-5 
 
 6 
 
 0-5 
 
 0-98163 
 
 1-04 
 
 0-995 
 
 0-98 
 
 1-0076 
 
 I-IO 
 
 0-988 
 
 0-4 
 
 7 
 
 o'S 
 
 1-98163 
 
 2-04 
 
 1-995 
 
 1-98 
 
 2-0076 
 
 2-IO 
 
 1-988 
 
 '4 
 
 8 
 
 0-5 
 
 2-98163 
 
 3-04 
 
 2-995 
 
 2-98 
 
 3-0076 
 
 3'io 
 
 2-988 
 
 2 '4 
 
 9 
 1O 
 
 o'S 
 0-5 
 
 3-98163 
 4-98163 
 
 0-47 
 
 1-47 
 
 0-418 
 1-418 
 
 0-41 
 1-41 
 
 4-0076 
 5-0076 
 
 4-10 
 
 5-10 
 
 3-988 
 4-988 
 
 3'4 
 4'4 
 
 11 
 12 
 
 0-5 
 0-5 
 
 5-98163 
 6-98163 
 
 2-47 
 3-47 
 
 2-418 
 3-418 
 
 2-41 
 3-41 
 
 6-0076 
 7-0076 
 
 6'io 
 
 7-10 
 
 5-988 
 6-988 
 
 5'4 
 6-4 
 
 13 
 
 0'5 
 
 0-82707 
 
 0-89 
 
 0-841 
 
 0-83 
 
 0-8540 
 
 0-95 
 
 0-834 
 
 O-2 
 
 14 
 
 
 1-82707 
 
 1-89 
 
 1-841 
 
 i'8 3 
 
 1-8540 
 
 1-95 
 
 1-834 
 
 1-2 
 
 15 
 
 O'S 
 
 2-82707 
 
 2-89 
 
 2-841 
 
 2-83 
 
 2-8540 
 
 2-95 
 
 2-834 
 
 2'2 
 
 16 
 17 
 
 0-5 
 
 3-82707 
 4-82707 
 
 0-31 
 1-31 
 
 0-264 
 1-264 
 
 0-25 
 1-25 
 
 3-8540 
 4-8540 
 
 3'95 
 4-95 
 
 3'834 
 4-834 
 
 4'2 
 
 18 
 19 
 
 o'S 
 
 5-82707 
 6-82707 
 
 2-31 
 
 2-264 
 3-264 
 
 2-25 
 3'25 
 
 5-8540 
 6-8540 
 
 S'95 
 6-95 
 
 6-834 
 
 5'2 
 
 6-2 
 
 20 
 
 0-6 
 
 0-67252 
 
 074 
 
 0-686 
 
 0-68 
 
 0-7004 
 
 0-80 
 
 0-680 
 
 o-o 
 
 21 
 
 0-6 
 
 1-67252 
 
 i-74 
 
 1-686 
 
 1-68 
 
 1-7004 
 
 i -80 
 
 1-680 
 
 I'O 
 
 22 
 
 0-6 
 
 2-67252 
 
 274 
 
 2-686 
 
 2-68 
 
 27004 
 
 2-80 
 
 2 -680 
 
 2-0 
 
 23 
 
 0-6 
 
 3-67252 
 
 0-16 
 
 0-109 
 
 o-io 
 
 3-7004 
 
 3-80 
 
 3-680 
 
 3'0 
 
 24 
 
 0-6 
 
 4-67252 
 
 1-16 
 
 nog 
 
 I-IO 
 
 4-7004 
 
 4-80 
 
 4-680 
 
 f O 
 
 4'0 
 
 25 
 26 
 27 
 
 0-6 
 0-6 
 0-6 
 
 5-67252 
 6-67252 
 0-51797 
 
 2-16 
 0-59 
 
 2-109 
 3-109 
 0-532 
 
 2-IO 
 
 3-10 
 0-52 
 
 5-7004 
 67004 
 0-5469 
 
 5-80 
 6-80 
 0-65 
 
 5-680 
 
 6-680 
 0-525 
 
 5-0 
 6-0 
 
 7-0 
 
 28 
 29 
 
 0-6 
 0-6 
 
 i'S'797 
 2-51797 
 
 1-59 
 2-59 
 
 2-532 
 
 1-52 
 
 1-5469 
 2-5469 
 
 1-65 
 2-65 
 
 1-525 
 
 2-525 
 
 0-8 
 1-8 
 
 In Leap Year diminish the date in Columns i, 13, by i day after Feb. 28- 
 163 
 
SATELLITE III 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XII continued Motions of Mean Longitude and the Arguments for Days 
 
 I 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 IO 
 
 ii 
 
 IZ 
 
 Day 
 
 Mean Long. 
 
 A 
 
 B 
 
 c 
 
 D 
 
 E 
 
 F 
 
 G 
 
 H 
 
 1 
 
 J- 
 
 July 3O 
 
 o 
 
 177-02337 
 
 d 
 6-52311 
 
 d 
 10-628 
 
 d 
 3-32 
 
 d 
 3-4895 
 
 d 
 3-5103 
 
 d 
 2-52 
 
 d 
 2-50 
 
 d 
 
 2-86 
 
 d 
 10-37 
 
 d 
 211-00 
 
 31 
 
 227-34101 
 
 0-47219 
 
 II-628 
 
 4-32 
 
 4-4895 
 
 4-5103 
 
 3-52 
 
 3'5 
 
 3-86 
 
 n-37 
 
 2I2'OO 
 
 Aug. 1 
 
 277-65866 
 
 1-47219 
 
 4 I05 
 
 5-32 
 
 5-4 8 95 
 
 5-5I03 
 
 4-52 
 
 4-50 
 
 4-86 
 
 12-37 
 
 2I3-OO 
 
 2 
 
 327-97631 
 
 2-47219 
 
 I-IO5 
 
 6-32 
 
 6-4895 
 
 6-5103 
 
 5-52 
 
 5-50 
 
 5-86 
 
 13-37 
 
 2I4-OO 
 
 3 
 
 18-29395 
 
 3-472I9 
 
 2-JO5 
 
 o'i6 
 
 0-3339 
 
 0-3555 
 
 6-52 
 
 6-50 
 
 6-86 
 
 I4-37 
 
 2I5-00 
 
 4 
 
 68-61160 
 
 4-47219 
 
 3-I05 
 
 1-16 
 
 1-3339 
 
 J'3555 
 
 0-57 
 
 0-55 
 
 0-68 
 
 I5-37 
 
 2I6-OO 
 
 5 
 
 118-92924 
 
 5-47219 
 
 4-I05 
 
 2-16 
 
 2-3339 
 
 2-3555 
 
 1-57 
 
 '55 
 
 1-68 
 
 16-37 
 
 217-OO 
 
 6 
 
 169-24689 
 
 6-47219 
 
 5-I05 
 
 3-16 
 
 3*3339 
 
 3-3555 
 
 2-57 
 
 2-55 
 
 2-68 
 
 I7-37 
 
 218-00 
 
 7 
 
 219-56454 
 
 0-42126 
 
 6-105 
 
 4-16 
 
 4-3339 
 
 4-3555 
 
 3-57 
 
 3-55 
 
 3-68 
 
 18-37 
 
 2I9-OO 
 
 8 
 
 269-88218 
 
 1-42126 
 
 7-I05 
 
 5-16 
 
 5-3339 
 
 5-3555 
 
 4-57 
 
 4-55 
 
 4-68 
 
 I9-37 
 
 22O'OO 
 
 9 
 
 320-19983 
 
 2-42126 
 
 8-105 
 
 6-16 
 
 6-3339 
 
 6-3555 
 
 5-57 
 
 5-55 
 
 5-68 
 
 20-37 
 
 22 I'OO 
 
 1O 
 
 10-51748 
 
 3-42126 
 
 9-105 
 
 o-oo 
 
 0-1784 
 
 0-2007 
 
 6-57 
 
 6-55 
 
 6-68 
 
 21-37 
 
 222-OO 
 
 11 
 
 60-83512 
 
 4-42126 
 
 10-I05 
 
 roo 
 
 1-1784 
 
 1-2007 
 
 0-62 
 
 0-60 
 
 0-51 
 
 22-37 
 
 223-00 
 
 12 
 
 111-15277 
 
 5-42126 
 
 11-105 
 
 2'OO 
 
 2-1784 
 
 2-2007 
 
 1-62 
 
 1-60 
 
 1-51 
 
 23-37 
 
 224-00 
 
 13 
 
 161-47042 
 
 6-42126 
 
 12-IO5 
 
 3-00 
 
 3-1784 
 
 3-2007 
 
 2-62 
 
 2-60 
 
 2-51 
 
 24-37 
 
 225-00 
 
 14 
 
 211-78806 
 
 0-37033 
 
 0-582 
 
 4-00 
 
 4-1784 
 
 4-2007 
 
 3-62 
 
 3"6o 
 
 3-5i 
 
 25'37 
 
 226-OO 
 
 15 
 
 262-10571 
 
 1-37033 
 
 1-582 
 
 5-00 
 
 5-I 7 84 
 
 5-2007 
 
 4-62 
 
 4-60 
 
 4'5' 
 
 26-37 
 
 227-OO 
 
 16 
 
 312-42335 
 
 2-37033 
 
 2-582 
 
 6-00 
 
 6-1784 
 
 6-2007 
 
 5-62 
 
 5-60 
 
 5-5i 
 
 27-37 
 
 228-00 
 
 17 
 
 2-74100 
 
 3'37033 
 
 3-58* 
 
 7-00 
 
 O-O228 
 
 0-0459 
 
 6-62 
 
 6-60 
 
 6-5, 
 
 28-37 
 
 229-00 
 
 18 
 
 53-05865 
 
 4-37033 
 
 4-582 
 
 0-84 
 
 1-0228 
 
 1-0459 
 
 0-67 
 
 0-65 
 
 o-33 
 
 29-37 
 
 230-00 
 
 19 
 
 103-37629 
 
 5'37033 
 
 5-582 
 
 1-84 
 
 2-O228 
 
 2-0459 
 
 1-67 
 
 1-65 
 
 i-33 
 
 30-37 
 
 23POO 
 
 20 
 
 153-69394 
 
 6-37033 
 
 6-582 
 
 2-84 
 
 3-0228 
 
 3-0459 
 
 2-67 
 
 2-65 
 
 2-33 
 
 31-37 
 
 232-OO 
 
 21 
 
 204-01159 
 
 0-31940 
 
 7- 5 82 
 
 3-84 
 
 4-0228 
 
 4-0459 
 
 3-67 
 
 3-65 
 
 3-33 
 
 32-37 
 
 233-00 
 
 22 
 
 254-32923 
 
 1-31940 
 
 8-582 
 
 4-84 
 
 5-O228 
 
 5-0459 
 
 4-67 
 
 4-65 
 
 4'33 
 
 33-37 
 
 234-00 
 
 23 
 
 304-64688 
 
 2-31940 
 
 9 - 5 82 
 
 5-84 
 
 6-0228 
 
 6-0459 
 
 5-67 
 
 5-65 
 
 5'33 
 
 34-37 
 
 235-00 
 
 24 
 
 354-96452 
 
 3-3I940 
 
 10-582 
 
 6-84 
 
 7-0228 
 
 7-0459 
 
 6-67 
 
 6-65 
 
 6-33 
 
 35-37 
 
 236-00 
 
 25 
 
 45-28217 
 
 4-31940 
 
 11-582 
 
 0-68 
 
 0-8673 
 
 0-8910 
 
 0-72 
 
 070 
 
 0-15 
 
 36-37 
 
 237-00 
 
 26 
 
 95-59982 
 
 5-31940 
 
 0-058 
 
 1-68 
 
 1-8673 
 
 1-8910 
 
 1-72 
 
 1-70 
 
 1-15 
 
 37-37 
 
 238-00 
 
 27 
 
 145-91746 
 
 6-31940 
 
 1-058 
 
 2-68 
 
 2-8673 
 
 2-8910 
 
 2-72 
 
 2-70 
 
 2-15 
 
 38-37 
 
 239-00 
 
 28 
 
 196*23511 
 
 0-26848 
 
 2-058 
 
 3-68 
 
 3-8673 
 
 3-8910 
 
 3-72 
 
 3-70 
 
 3-15 
 
 39-37 
 
 240-00 
 
 29 
 
 246-55276 
 
 1-26848 
 
 3-058 
 
 4-68 
 
 4-8673 
 
 4-8910 
 
 4-72 
 
 4-70 
 
 4-I5 
 
 40-37 
 
 24I-OO 
 
 30 
 
 296-87040 
 
 2-26848 
 
 4-058 
 
 5-68 
 
 S^S 
 
 5-8910 
 
 5-72 
 
 570 
 
 5-I5 
 
 41-37 
 
 242'OO 
 
 31 
 
 347-18805 
 
 3-26848 
 
 5-058 
 
 6-68 
 
 6-8673 
 
 6-8910 
 
 672 
 
 6-70 
 
 6-15 
 
 42-37 
 
 243-00 
 
 Sept. 1 
 
 37-50569 
 
 4-26848 
 
 6-058 
 
 0-52 
 
 O-71I8 
 
 0-7362 
 
 0-77 
 
 075 
 
 7-15 
 
 43-37 
 
 244-00 
 
 2 
 
 87-82334 
 
 5-26848 
 
 7-058 
 
 1-52 
 
 I-7I18 
 
 1-7362 
 
 1-77 
 
 1-75 
 
 0-97 
 
 44-37 
 
 245-00 
 
 3 
 
 138*14099 
 
 6-26848 
 
 8-058 
 
 2-52 
 
 2-7II8 
 
 2-7362 
 
 277 
 
 2-75 
 
 1-97 
 
 45-37 
 
 246-00 
 
 4 
 
 188-45863 
 
 0-21755 
 
 9-058 
 
 3-52 
 
 3-7II8 
 
 3-7362 
 
 377 
 
 375 
 
 2-97 
 
 46-37 
 
 247-00 
 
 5 
 
 238-77628 
 
 1-21755 
 
 10-058 
 
 4-52 
 
 4 -7Il8 
 
 47362 
 
 4-77 
 
 475 
 
 3-97 
 
 47-37 
 
 248-00 
 
 6 
 
 289-09393 
 
 2-21755 
 
 I 1-058 
 
 5-52 
 
 57II8 
 
 5-7362 
 
 577 
 
 5-75 
 
 4'97 
 
 48-37 
 
 249-00 
 
 7 
 
 339-4ii57 
 
 3-21755 
 
 12-058 
 
 6-52 
 
 6-7118 
 
 6-7362 
 
 6-77 
 
 6-75 
 
 5-97 
 
 49'37 
 
 25O-OO 
 
 8 
 
 29-72922 
 
 4-21755 
 
 0-535 
 
 0-36 
 
 0-5562 
 
 0-5814 
 
 0-82 
 
 0-80 
 
 6-97 
 
 O-21 
 
 25I-OO 
 
 9 
 
 80-04687 
 
 5-2I755 
 
 '535 
 
 1-36 
 
 1-5562 
 
 1-5814 
 
 1-82 
 
 i -80 
 
 0-80 
 
 I '2 I 
 
 252-00 
 
 10 
 
 130-36451 
 
 6-21755 
 
 2-535 
 
 2-36 
 
 2-5562 
 
 2-5814 
 
 2-82 
 
 2-80 
 
 1-80 
 
 2'2I 
 
 253-00 
 
 11 
 
 180-68216 
 
 0-16662 
 
 3-535 
 
 3-36 
 
 3-5562 
 
 3-5814 
 
 3-82 
 
 3-80 
 
 2-80 
 
 3-21 
 
 254-00 
 
 12 
 
 230-99980 
 
 1-16662 
 
 4-535 
 
 4-36 
 
 4-5562 
 
 4-5814 
 
 4-82 
 
 4-80 
 
 3-80 
 
 4'2I 
 
 255-00 
 
 13 
 
 281-31745 
 
 2-16662 
 
 5-535 
 
 5-36 
 
 5-5562 
 
 5-5814 
 
 5-82 
 
 5-80 
 
 4-80 
 
 5'2I 
 
 256-00 
 
 14 
 
 331-63510 
 
 3-16662 
 
 6-535 
 
 6-36 
 
 6-5562 
 
 6-5814 
 
 6-82 
 
 6-80 
 
 5-80 
 
 6-21 
 
 257-00 
 
 15 
 
 21-95274 
 
 4-16662 
 
 7-535 
 
 0-19 
 
 0-4007 
 
 0-4266 
 
 0-87 
 
 0-85 
 
 6-80 
 
 7'21 
 
 258-00 
 
 16 
 
 72-27039 
 
 5-16662 
 
 8-535 
 
 1-19 
 
 I -4007 
 
 1-4266 
 
 1-87 
 
 1-85 
 
 0-62 
 
 8-21 
 
 259-00 
 
 17 
 
 122-58804 
 
 6-16662 
 
 9-535 
 
 2-19 
 
 2-4007 
 
 2-4266 
 
 2-87 
 
 2-85 
 
 1-62 
 
 9-21 
 
 26O-OO 
 
 18 
 
 172-90568 
 
 0-11570 
 
 10-535 
 
 3-I9 
 
 3-4007 
 
 3-4266 
 
 3-87 
 
 3-85 
 
 2-62 
 
 10-21 
 
 26rOO 
 
 19 
 
 223-22333 
 
 1-11570 
 
 u'535 
 
 4-19 
 
 4-4007 
 
 4-4266 
 
 4-87 
 
 4-85 
 
 3-62 
 
 11-21 
 
 262-00 
 
 In Leap Year diminish the date in Columns i, 13, by i day after Feb. 28. 
 164 
 
SATELLITE III 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XII continued Motions of Mean Longitude and the Arguments for Days 
 
 '3 
 
 14 
 
 15 
 
 16 
 
 17 
 
 il 
 
 "9 
 
 20 
 
 21 
 
 22 
 
 Day 
 
 N 
 
 
 
 P 
 
 Q 
 
 R 
 
 S 
 
 T 
 
 U 
 
 V 
 
 July 30 
 
 j 
 0-6 
 
 d 
 
 3'5'797 
 
 d 
 O'OI 
 
 d 
 3-532 
 
 d 
 
 3'5* 
 
 d 
 3-5469 
 
 d 
 3-65 
 
 d 
 3-525 
 
 d 
 
 2-8 
 
 31 
 
 0-6 
 
 4-51797 
 
 I'OI 
 
 0-955 
 
 0-94 
 
 4-5469 
 
 4^5 
 
 4-525 
 
 3'8 
 
 Aug. 1 
 
 0-6 
 
 5-51797 
 
 2-01 
 
 1-955 
 
 1-94 
 
 5'54 6 9 
 
 5-65 
 
 5-525 
 
 4-8 
 
 2 
 
 0-6 
 
 6-51797 
 
 3-01 
 
 2-955 
 
 2-94 
 
 6-5469 
 
 6-65 
 
 6-525 
 
 5-8 
 
 3 
 
 0-6 
 
 0-3634* 
 
 "43 
 
 0-378 
 
 o'37 
 
 0-3933 
 
 0-50 
 
 0-371 
 
 6-8 
 
 4 
 
 0-6 
 
 1-36342 
 
 I'43 
 
 I-378 
 
 1-37 
 
 J'3933 
 
 r50 
 
 I-37I 
 
 07 
 
 5 
 
 0-6 
 
 2-36342 
 
 2-43 
 
 2-378 
 
 2-37 
 
 2-3933 
 
 2-50 
 
 2-371 
 
 17 
 
 6 
 
 0-6 
 
 3-36342 
 
 3-43 
 
 3'378 
 
 3'37 
 
 3'3933 
 
 3-5 
 
 3-37I 
 
 27 
 
 7 
 
 0-6 
 
 4-36342 
 
 0-86 
 
 0-801 
 
 0-79 
 
 4-3933 
 
 4-50 
 
 4-371 
 
 37 
 
 8 
 
 0-6 
 
 5-3634* 
 
 1-86 
 
 i-8oj 
 
 179 
 
 5-3933 
 
 5-50 
 
 5'37I 
 
 4'7 
 
 9 
 
 0-6 
 
 6-36342 
 
 2-86 
 
 2-801 
 
 279 
 
 6 "3933 
 
 6-50 
 
 6-371 
 
 57 
 
 10 
 
 0-6 
 
 0-20886 
 
 0-28 
 
 0-224 
 
 O-2I 
 
 0^2398 
 
 0-35 
 
 O-217 
 
 67 
 
 11 
 
 0-6 
 
 1-20886 
 
 1-28 
 
 i '224 
 
 I-2I 
 
 1-2398 
 
 1-35 
 
 I-2I7 
 
 0-5 
 
 12 
 
 0'6 
 
 2-20886 
 
 2-28 
 
 2'224 
 
 2'2I 
 
 2-2398 
 
 2-35 
 
 2-2I7 
 
 i'S 
 
 13 
 
 0-6 
 
 3-20886 
 
 3-28 
 
 3-224 
 
 3'2I 
 
 3-2398 
 
 3-35 
 
 3-217 
 
 2-5 
 
 14 
 
 0-6 
 
 4-20886 
 
 0-70 
 
 0-647 
 
 0-64 
 
 4-2398 
 
 4'35 
 
 4-2I7 
 
 3'5 
 
 15 
 
 0-6 
 
 5-20886 
 
 170 
 
 I-6 4 7 
 
 1-64 
 
 5-2398 
 
 5-35 
 
 5-217 
 
 4'5 
 
 16 
 
 0-6 
 
 6-20886 
 
 270 
 
 2-647 
 
 2-64 
 
 6-2398 
 
 6-35 
 
 6-2I7 
 
 5'5 
 
 17 
 
 0-6 
 
 0-05431 
 
 0-13 
 
 0-O7O 
 
 0-06 
 
 0-0862 
 
 O'2O 
 
 O-O62 
 
 6-5 
 
 18 
 
 0-6 
 
 1-05431 
 
 ITJ 
 
 I-O7O 
 
 ro6 
 
 1-0862 
 
 rzo 
 
 I-062 
 
 "3 
 
 19 
 
 0-6 
 
 2-05431 
 
 2-13 
 
 2-O7O 
 
 2-06 
 
 2-0862 
 
 Z-2O 
 
 2-062 
 
 i'3 
 
 2O 
 
 0-6 
 
 3'0543i 
 
 3-I3 
 
 3-070 
 
 3'o6 
 
 3-0862 
 
 3-20 
 
 3-062 
 
 *'3 
 
 21 
 
 0-6 
 
 4- 543i 
 
 0-55 
 
 0-493 
 
 0-48 
 
 4-0862 
 
 4-20 
 
 4-062 
 
 3'3 
 
 22 
 
 0-6 
 
 5-05431 
 
 '55 
 
 '"493 
 
 1-48 
 
 5-0862 
 
 5-20 
 
 5-062 
 
 4'3 
 
 23 
 
 0-6 
 
 6-05431 
 
 2 '55 
 
 2-493 
 
 2-48 
 
 6-0862 
 
 6'2O 
 
 6-062 
 
 5'3 
 
 24 
 
 0-6 
 
 7-0543I 
 
 3-55 
 
 3'493 
 
 3-48 
 
 7-0862 
 
 0-05 
 
 7-062 
 
 6-3 
 
 25 
 
 0-6 
 
 0-89976 
 
 0-98 
 
 0-916 
 
 0-90 
 
 0-93*7 
 
 1-05 
 
 0-908 
 
 o- 
 
 26 
 
 07 
 
 1-89976 
 
 i '98 
 
 1-916 
 
 i '90 
 
 1-9327 
 
 2-05 
 
 1-908 
 
 i- 
 
 27 
 
 07 
 
 2-89976 
 
 2-98 
 
 2-916 
 
 2-90 
 
 2-9327 
 
 3'05 
 
 2'908 
 
 2- 
 
 28 
 
 07 
 
 3-89976 
 
 0-40 
 
 o-339 
 
 o-33 
 
 3-9327 
 
 4-05 
 
 3-908 
 
 3' 
 
 29 
 
 0-7 
 
 4-89976 
 
 1-40 
 
 1-339 
 
 i'33 
 
 4.9327 
 
 5-05 
 
 4-908 
 
 4' 
 
 30 
 
 07 
 
 5-89976 
 
 2-40 
 
 2-339 
 
 2'33 
 
 5-9327 
 
 6-05 
 
 5-908 
 
 5- 
 
 31 
 
 07 
 
 6^89976 
 
 3-40 
 
 3-339 
 
 3'33 
 
 6'9327 
 
 7-05 
 
 6-908 
 
 6- 
 
 Sept. 1 
 
 07 
 
 0-74521 
 
 0-82 
 
 0-762 
 
 075 
 
 07791 
 
 0-90 
 
 0754 
 
 7' 
 
 2 
 
 07 
 
 174521 
 
 1-82 
 
 1-762 
 
 175 
 
 17791 
 
 1-90 
 
 1754 
 
 0-9 
 
 3 
 
 07 
 
 274521 
 
 2-82 
 
 2-762 
 
 275 
 
 27791 
 
 2-90 
 
 2754 
 
 1-9 
 
 4 
 
 07 
 
 374521 
 
 0-25 
 
 0-185 
 
 0-17 
 
 37791 
 
 3-9 
 
 3754 
 
 2-9 
 
 5 
 
 07 
 
 474521 
 
 1-25 
 
 1-185 
 
 1-17 
 
 4779 1 
 
 4-90 
 
 4754 
 
 3'9 
 
 6 
 
 07 
 
 574521 
 
 2-25 
 
 2-185 
 
 2-17 
 
 5779 1 
 
 5-90 
 
 5754 
 
 4'9 
 
 7 
 
 07 
 
 674521 
 
 3-25 
 
 3-'8S 
 
 3-I7 
 
 67791 
 
 6-90 
 
 6754 
 
 5'9 
 
 8 
 
 07 
 
 0-59065 
 
 0-67 
 
 0-608 
 
 o'6o 
 
 0-6256 
 
 0-75 
 
 0-600 
 
 6-9 
 
 9 
 
 0-7 
 
 1-59065 
 
 1-67 
 
 i -608 
 
 i -60 
 
 1-6256 
 
 1-75 
 
 i -600 
 
 0-8 
 
 10 
 
 07 
 
 2-59065 
 
 2-67 
 
 2-608 
 
 2-60 
 
 2-6256 
 
 275 
 
 2-600 
 
 r8 
 
 11 
 
 07 
 
 3-59065 
 
 O'lO 
 
 0-031 
 
 O-O2 
 
 3-6256 
 
 375 
 
 3-600 
 
 2-8 
 
 12 
 
 07 
 
 4-59065 
 
 no 
 
 1-031 
 
 I -O2 
 
 4-6256 
 
 475 
 
 4-600 
 
 3'8 
 
 13 
 
 07 
 
 5-59065 
 
 2-IO 
 
 2-031 
 
 2 -O2 
 
 5-6256 
 
 575 
 
 5-600 
 
 4-8 
 
 14 
 
 07 
 
 6-59065 
 
 3-10 
 
 3-031 
 
 3-02 
 
 6-6256 
 
 6-75 
 
 6-600 
 
 5-8 
 
 6O 
 
 15 
 
 07 
 
 0*43610 
 
 0-52 
 
 o-454 
 
 0-44 
 
 0-4720 
 
 0-60 
 
 0-445 
 
 8 
 
 f 
 
 16 
 
 07 
 
 1-43610 
 
 1-52 
 
 1-454 
 
 1-44 
 
 1-4720 
 
 r6o 
 
 1-445 
 
 06 
 
 . 
 
 17 
 
 07 
 
 2-43610 
 
 2-52 
 
 2-454 
 
 2-44 
 
 2-4720 
 
 2-60 
 
 2-445 
 
 ro 
 
 18 
 
 07 
 
 3-43610 
 
 3'5* 
 
 3-454 
 
 3-44 
 
 3-4720 
 
 3-60 
 
 3-445 
 
 2-6 
 
 -, 
 
 19 
 
 0-7 
 
 4-43610 
 
 0-94 
 
 0-877 
 
 0-86 
 
 4-4720 
 
 4-60 
 
 4-445 
 
 3-6 
 
 In Leap Year diminish the date in Columns j, 13, by i day after Feb. 28 
 165 
 
SATELLITE III 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XII continued Motions of Mean Longitude and the Arguments for Days 
 
 I 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 7 
 
 8 
 
 9 
 
 10 
 
 ii 
 
 12 
 
 Day 
 
 Mean Long. 
 
 A 
 
 B 
 
 c 
 
 D 
 
 E 
 
 F 
 
 G 
 
 H 
 
 1 
 
 J-a 
 
 Sept. 20 
 
 o 
 
 273-54097 
 
 d 
 2-1 1570 
 
 d 
 0'OI2 
 
 d 
 5-I9 
 
 d 
 5-4007 
 
 d 
 5-4266 
 
 5-87 
 
 d 
 5^5 
 
 d 
 4-62 
 
 d 
 I2'2I 
 
 d 
 263-00 
 
 21 
 
 323-85862 
 
 3T1570 
 
 I-OI2 
 
 6-19 
 
 6-4007 
 
 6-4266 
 
 6-87 
 
 6-85 
 
 5-62 
 
 I3-2I 
 
 264-00 
 
 22 
 
 14-17627 
 
 4-II570 
 
 2-012 
 
 O-O3 
 
 0-2452 
 
 0-2718 
 
 0-93 
 
 0-90 
 
 6-62 
 
 I4-2I 
 
 265-00 
 
 23 
 
 64-49391 
 
 5-II570 
 
 3'OI2 
 
 1-03 
 
 I-2452 
 
 1-2718 
 
 1-93 
 
 l-gO 
 
 0-44 
 
 I5-2I 
 
 266-OO 
 
 24 
 
 1 14-81156 
 
 6-11570 
 
 4-OI2 
 
 2-03 
 
 2-2452 
 
 2-27I8 
 
 2'93 
 
 2-90 
 
 1-44 
 
 16-21 
 
 267-00 
 
 25 
 
 165-12921 
 
 0-06477 
 
 5-OI2 
 
 3-03 
 
 J**45* 
 
 3-2718 
 
 3'93 
 
 3'9 
 
 2-44 
 
 I7-2I 268-00 
 
 26 
 
 215-44685 
 
 1-06477 
 
 6'OI2 
 
 4'3 
 
 4-2452 
 
 4-2718 
 
 4-93 
 
 4-9 
 
 3^4 
 
 18-21 269-00 
 
 27 
 
 26576450 
 
 2-06477 
 
 7'OI2 
 
 5-03 
 
 5-2452 
 
 5 -27l8 
 
 5'93 
 
 5-90 
 
 4-44 
 
 19-21 
 
 27O-OO 
 
 28 
 
 316-08214 
 
 3-06477 
 
 8-012 
 
 6-03 
 
 6-2452 
 
 6-27I8 
 
 6-93 
 
 6-90 
 
 5'44 
 
 20-21 
 
 27I-OO 
 
 29 
 
 6-39979 
 
 4-06477 
 
 9-OI2 
 
 7-03 
 
 0-0896 
 
 0-1169 
 
 0-98 
 
 0-95 
 
 6-44 
 
 2 I '2 I 
 
 272-OO 
 
 30 
 
 5671744 
 
 5-06477 
 
 IO'OI2 
 
 0-87 
 
 1-0896 
 
 1-1169 
 
 1-98 
 
 1-95 
 
 0-26 
 
 22'2I 
 
 273-00 
 
 Oct. 1 
 
 107-03508 
 
 6-06477 
 
 I I -01 2 
 
 1-87 
 
 2-0896 
 
 2-1 169 
 
 2-98 2-95 
 
 1-26 
 
 23-2I 
 
 274-00 
 
 2 
 
 I57-35273 
 
 0-01384 
 
 I2'OI2 
 
 2-87 
 
 3-0896 
 
 3-1169 
 
 3'9 8 3-95 
 
 2-26 
 
 24-2! 
 
 275-00 
 
 3 
 
 207-67038 
 
 1-01384 
 
 0-489 
 
 3-87 
 
 4-0896 
 
 4'I 169 
 
 4-98 4-95 
 
 3-26 
 
 25-21 
 
 276*00 
 
 4 
 
 257-98802 
 
 2-01384 
 
 1-489 
 
 4-87 
 
 5-0896 
 
 5-1169 
 
 5-98 
 
 5'95 
 
 4-26 
 
 26-2I 
 
 277-00 
 
 5 
 
 308-30567 
 
 3-01384 
 
 2-489 
 
 5-87 
 
 6-0896 
 
 6'i 169 
 
 0-03 
 
 O'OO 
 
 5-26 
 
 27-21 
 
 278-00 
 
 6 
 
 358-62331 
 
 4-01384 
 
 3'489 
 
 6-87 
 
 7-0896 
 
 7-1169 
 
 1-03 
 
 I'OO 
 
 6-26 
 
 28-21 
 
 279-00 
 
 7 
 
 48-94096 
 
 5-01384 
 
 4-489 
 
 0-71 
 
 0-9341 
 
 0-9621 
 
 2-03 
 
 2"OO 
 
 0-09 
 
 29-21 
 
 28O-OO 
 
 8 
 
 99-25861 
 
 6-01384 
 
 5-489 
 
 1-71 
 
 i-934i 
 
 1-9621 
 
 3'3 
 
 3'OO 
 
 1-09 
 
 30-2I 
 
 28I-OO 
 
 9 
 
 149-57625 
 
 7-01384 
 
 6-489 
 
 2-71 
 
 2-9341 
 
 2-9621 
 
 4-03 
 
 4-00 
 
 2-09 
 
 31-21 
 
 282-OO 
 
 1O 
 
 199-89390 
 
 0-96291 
 
 7-489 
 
 371 
 
 3'934i 
 
 3-9621 
 
 5-03 
 
 5-00 
 
 3-09 
 
 32-2I 
 
 283-00 
 
 11 
 
 250-21155 
 
 1-96291 
 
 8-489 
 
 4-71 
 
 4-934I 
 
 4-9621 
 
 6-03 
 
 6-00 
 
 4^9 
 
 33-21 
 
 284-00 
 
 12 
 
 300-52919 
 
 2-96291 
 
 9-489 
 
 5-71 
 
 S'934 1 
 
 5-9621 
 
 0-08 
 
 0-05 
 
 5-09 
 
 34-21 
 
 285-00 
 
 13 
 
 350-84684 
 
 3-96291 
 
 10-489 
 
 6-71 
 
 6-9341 
 
 6-9621 
 
 i -08 
 
 1-05 
 
 6-09 
 
 35-21 
 
 286-OO 
 
 14 
 
 41-16449 
 
 4-96291 
 
 11-489 
 
 0-55 
 
 0-7786 
 
 0-8073 
 
 2-08 
 
 2-05 
 
 7-09 
 
 36-2I 
 
 287-00 
 
 15 
 
 91-48213 
 
 5-96291 
 
 12-489 
 
 '55 
 
 17786 
 
 1-8073 
 
 3-08 
 
 3-05 
 
 0-91 
 
 37-21 
 
 288-00 
 
 16 
 
 14179978 
 
 6-96291 
 
 0-965 
 
 2-55 
 
 2-7786 
 
 2-8073 
 
 4-08 
 
 4-05 
 
 I- 9 I 
 
 38-2I 
 
 289*00 
 
 17 
 
 192-1 1742 
 
 0-91199 
 
 1-965 
 
 3'55 
 
 3-7786 
 
 3-8073 
 
 5-08 
 
 5-05 
 
 2- 9 I 
 
 39-2I 
 
 290-00 
 
 18 
 
 242-43507 
 
 I-9II99 
 
 2-965 
 
 4-55 
 
 4-7786 
 
 4-8073 
 
 6-08 
 
 6-05 
 
 3'9' 
 
 40-21 
 
 291-00 
 
 19 
 
 292-75272 
 
 2-91199 
 
 3-965 
 
 5'55 
 
 5-7786 
 
 5-8073 
 
 0*13 
 
 O'lO 
 
 4-91 
 
 41-21 
 
 292^00 
 
 2O 
 
 343-07036 
 
 3- 9 II99 
 
 4-965 
 
 6-55 
 
 6-7786 
 
 6-8073 
 
 1-13 
 
 I-IO 
 
 5-91 
 
 42-2I 
 
 293-00 
 
 21 
 
 33-38801 
 
 4-91199 
 
 5-965 
 
 0-39 
 
 0-6230 
 
 0-6525 
 
 2-13 
 
 2-IO 
 
 6-91 
 
 43-21 
 
 294-00 
 
 22 
 
 83-70566 
 
 5-91199 
 
 6-965 
 
 !"39 
 
 1-6230 
 
 1-6525 
 
 3-i3 
 
 3-10 
 
 o-73 
 
 44-21 
 
 295-00 
 
 23 
 
 134-02330 
 
 6-91199 
 
 7-965 
 
 2-39 
 
 2-6230 
 
 2-6525 
 
 4-13 
 
 4-10 
 
 173 
 
 45-21 
 
 296-00 
 
 24 
 
 184-34095 
 
 0-86106 
 
 8-965 
 
 3'39 
 
 3-6230 
 
 3-6525 
 
 5-i3 
 
 5-10 
 
 273 
 
 46-21 
 
 297-00 
 
 25 
 
 234-65859 
 
 I-86106 
 
 9-965 
 
 4-39 
 
 4-6230 
 
 4-6525 
 
 6-13 
 
 6'io 
 
 3-73 
 
 47-21 
 
 298-00 
 
 26 
 
 284-97624 
 
 2-86I06 
 
 10-965 
 
 5'39 
 
 5-6230 
 
 5-6525 
 
 0-18 
 
 0-15 
 
 4-73 
 
 48-2I 
 
 299-00 
 
 27 
 
 335-29389 
 
 3-86106 
 
 11-965 
 
 6-39 
 
 6-6230 
 
 6-6525 
 
 1-18 
 
 1-15 
 
 573 
 
 49-21 
 
 3OO-00 
 
 28 
 
 25-61153 
 
 4-86106 
 
 0-442 
 
 0-23 
 
 0-4675 
 
 0-4977 
 
 2-18 
 
 2-15 
 
 6-73 
 
 0'05 
 
 3OI-00 
 
 29 
 
 75-92918 
 
 5-86I06 
 
 1-442 
 
 1-23 
 
 1-4675 
 
 1-4977 
 
 3'i8 
 
 3-15 
 
 0-56 
 
 I-0 5 
 
 3OZ-OO 
 
 3O 
 
 126-24683 
 
 6-86I06 
 
 2-442 
 
 2-23 
 
 2-4675 
 
 2-4977 
 
 4-18 
 
 4''5 
 
 1-56 
 
 2-05 
 
 303-00 
 
 31 176-56447 
 
 O-8IOI3 
 
 3'44 2 
 
 3-23 
 
 3-4 6 75 
 
 3-4977 
 
 5-18 
 
 5-I5 
 
 2-56 
 
 3-05 
 
 304-00 
 
 Nov. 1 
 
 226-88212 
 
 I-8IOI3 
 
 4-442 
 
 4-23 
 
 4-4 6 75 
 
 4-4977 
 
 6-18 
 
 6-15 
 
 3-56 
 
 4-05 
 
 305-00 
 
 2 
 
 277-19976 
 
 2-81013 
 
 5-442 
 
 S-23 
 
 S^S 
 
 5-4977 
 
 0-23 
 
 O'2O 
 
 4-56 
 
 5-05 
 
 306-00 
 
 3 
 
 327-51741 
 
 3-8IOI3 
 
 6-442 
 
 6-23 
 
 6-4675 
 
 6-4977 
 
 1-23 
 
 I -2O 
 
 5-56 
 
 6-O5 
 
 307-00 
 
 4 
 
 17-83506 
 
 4-81013 
 
 7'442 
 
 0-07 
 
 0-3119 
 
 0-3429 
 
 2-23 
 
 2'2O 
 
 6-56 
 
 7-05 
 
 3O8-OO 
 
 5 
 
 68-15270 
 
 5-8IOI3 
 
 8-442 
 
 1-07 
 
 1-3119 
 
 1-3429 
 
 3-23 
 
 3'2O 
 
 0-38 
 
 8-05 
 
 309-00 
 
 6 
 
 118-47035 
 
 6-8IOI3 
 
 9-442 
 
 2-07 
 
 2-3119 
 
 2-3429 
 
 4-23 
 
 4'2O 
 
 1-38 
 
 9-05 
 
 3IO-OO 
 
 7 
 
 16878800 
 
 0-75921 
 
 10-442 
 
 3 '7 
 
 3-3ii9 
 
 3-3429 
 
 5-23 
 
 5-20 
 
 2-38 
 
 IO-05 
 
 31 i-oo 
 
 8 
 
 219-10564 
 
 I-7592I 
 
 11-442 
 
 4-07 
 
 4-3119 
 
 4-3429 
 
 6-23 
 
 6'2O 
 
 3-38 
 
 1 1-O5 
 
 312-00 
 
 9 
 
 269-42329 
 
 2-75921 
 
 12-442 
 
 5-07 
 
 5-3H9 
 
 5-34 z 9 
 
 0-28 
 
 0-25 
 
 4'38 
 
 I2-O5 
 
 313-00 
 
 10 
 
 319-74094 
 
 3-7592I 
 
 0-919 
 
 6-07 
 
 6-3119 
 
 6-3429 
 
 1-28 
 
 1-25 
 
 5-38 
 
 I3-05 
 
 314-00 
 
 In Leap Year diminish the date in Columns i, 13, by i day after Feb. 28 
 166 
 
SATELLITE III 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XII continued Motions of Mean Longitude and the Arguments for Days 
 
 3 
 
 14 
 
 '5 
 
 16 
 
 17 
 
 18 
 
 '9 
 
 2O 
 
 21 
 
 22 
 
 Day 
 
 N 
 
 
 
 P 
 
 Q 
 
 R 
 
 s 
 
 T 
 
 u 
 
 V 
 
 Sept. 20 
 
 y 
 0-7 
 
 d 
 5-43610 
 
 d 
 
 1-94 
 
 d 
 l-8 7 7 
 
 d 
 
 1-86 
 
 d 
 
 d 
 5-60 
 
 d 
 
 d 
 
 4-6 
 
 21 
 
 07 
 
 6-43610 
 
 2-94 
 
 2-877 
 
 2-86 
 
 6-4720 
 
 6-60 
 
 6-445 
 
 5-6 
 
 22 
 
 0-7 
 
 0-28I55 
 
 o-37 
 
 0-300 
 
 0-29 
 
 0-3184 
 
 0-45 
 
 0-291 
 
 6-6 
 
 23 
 
 07 
 
 1-28155 
 
 1-37 
 
 I-300 
 
 1-29 
 
 1-3184 
 
 '45 
 
 1-291 
 
 o-4 
 
 24 
 
 0-7 
 
 2-28I55 
 
 2'37 
 
 2-300 
 
 2-29 
 
 2-3184 
 
 2-45 
 
 2-291 
 
 i "4 
 
 25 
 
 0-7 
 
 3-28I55 
 
 3'37 
 
 3-300 
 
 3-29 
 
 3-3J84 
 
 3-45 
 
 3-291 
 
 2-4 
 
 26 
 
 0-7 
 
 4-28I55 
 
 0-79 
 
 0-723 
 
 0-71 
 
 4-3184 
 
 4H5 
 
 4-291 
 
 3'4 
 
 27 
 
 07 
 
 5-28I55 
 
 179 
 
 1-723 
 
 1-71 
 
 5-3184 
 
 5 '45 
 
 5-291 
 
 4'4 
 
 28 
 
 07 
 
 6-28155 
 
 279 
 
 2-723 
 
 271 
 
 6-3184 
 
 6-45 
 
 6-291 
 
 5'4 
 
 29 
 
 0-7 
 
 0*12699 
 
 0-22 
 
 0-146 
 
 0-13 
 
 0-1649 
 
 0-30 
 
 0-137 
 
 6-4 
 
 30 
 
 07 
 
 1-12699 
 
 1-22 
 
 1-146 
 
 1-13 
 
 1-1649 
 
 1-30 
 
 i-'37 
 
 O'2 
 
 Oct. 1 
 
 0-8 
 
 2-12699 
 
 2'22 
 
 2-146 
 
 2-13 
 
 2-1649 
 
 2-30 
 
 2-137 
 
 1-2 
 
 2 
 
 0-8 
 
 3-12699 
 
 3-22 
 
 3-146 
 
 3-13 
 
 3-1649 
 
 3-30 
 
 3-137 
 
 2-2 
 
 3 
 
 0-8 
 
 4-12699 
 
 0-64 
 
 0-569 
 
 0-55 
 
 4-1649 
 
 4-30 
 
 4-137 
 
 3'2 
 
 4 
 
 0-8 
 
 5-12699 
 
 1-64 
 
 1-569 
 
 '"55 
 
 5-1649 
 
 5-30 
 
 5-137 
 
 4'2 
 
 5 
 
 0-8 
 
 6-12699 
 
 2-64 
 
 2-569 
 
 2-55 
 
 6-1649 
 
 6-30 
 
 6-137 
 
 5'2 
 
 6 
 
 0-8 
 
 7-12699 
 
 O'06 
 
 3-569 
 
 3'55 
 
 0-OII3 
 
 0-15 
 
 7-137 
 
 6-2 
 
 7 
 
 0-8 
 
 0-97244 
 
 I 'O6 
 
 0-992 
 
 0-98 
 
 i -oi 13 
 
 1-15 
 
 0-982 
 
 O'O 
 
 8 
 
 0-8 
 
 1-97244 
 
 2-O6 
 
 I-992 
 
 1-98 
 
 2"OI 13 
 
 2-15 
 
 1-982 
 
 I'O 
 
 9 
 
 0-8 
 
 2-97244 
 
 7 "OO 
 
 2-992 
 
 2-98 
 
 3-OI13 
 
 3-15 
 
 2-982 
 
 2-O 
 
 1O 
 
 0-8 
 
 3-97244 
 
 O'4-Q 
 
 0-415 
 
 0-40 
 
 4-01I3 
 
 4-15 
 
 3-982 
 
 3 -0 
 
 11 
 
 0-8 
 
 4-97244 
 
 1-49 
 
 I-4I5 
 
 1-40 
 
 5'OIIJ 
 
 5''5 
 
 4-982 
 
 4-0 
 
 12 
 
 0-8 
 
 5-97244 
 
 2 '49 
 
 2-415 
 
 2-40 
 
 6-OII3 
 
 6-15 
 
 5-982 
 
 5-0 
 
 13 
 
 0-8 
 
 6-97244 
 
 3'49 
 
 S^IS 
 
 
 7-OII3 
 
 o-oo 
 
 6-982 
 
 6-0 
 
 14 
 
 0-8 
 
 0-81789 
 
 
 0-838 
 
 0-82 
 
 0-8578 
 
 I'OO 
 
 0-828 
 
 7-o 
 
 15 
 
 0-8 
 
 1-81789 
 
 1-91 
 
 1-838 
 
 1-82 
 
 1-8578 
 
 2'00 
 
 1-828 
 
 0-9 
 
 16 
 
 0-8 
 
 2-81789 
 
 2-91 
 
 2-838 
 
 2-82 
 
 2-8578 
 
 3-00 
 
 2-828 
 
 i -9 
 
 17 
 
 0-8 
 
 3-81789 
 
 o-33 
 
 O-26l 
 
 0-25 
 
 3-8578 
 
 4-00 
 
 3-828 
 
 2-9 
 
 18 
 
 0-8 
 
 4-81789 
 
 i"33 
 
 I-26l 
 
 1-25 
 
 4-8578 
 
 5-00 
 
 4-828 
 
 3'9 
 
 19 
 
 0-8 
 
 5-81789 
 
 
 2-26l 
 
 2-25 
 
 5-8578 
 
 6-00 
 
 5-828 
 
 4'9 
 
 2O 
 
 0-8 
 
 6-81789 
 
 3'33 
 
 3-261 
 
 3-25 
 
 6-8578 
 
 7-00 
 
 6-828 
 
 5'9 
 
 21 
 
 0-8 
 
 0-66334 
 
 0-76 
 
 0-684 
 
 0-67 
 
 0-7042 
 
 0-85 
 
 0-674 
 
 6-9 
 
 22 
 
 0-8 
 
 1-66334 
 
 176 
 
 1-684 
 
 1-67 
 
 17042 
 
 1-85 
 
 1-674 
 
 07 
 
 23 
 
 0-8 
 
 2-66334 
 
 276 
 
 2-684 
 
 2-67 
 
 2-7042 
 
 2-85 
 
 2-674 
 
 '7 
 
 24 
 
 0-8 
 
 3-66334 
 
 0-18 
 
 0-I07 
 
 0-09 
 
 37042 
 
 3-85 
 
 3 '674 
 
 2-7 
 
 25 
 
 0-8 
 
 4-66334 
 
 1-18 
 
 I-I07 
 
 1-09 
 
 4-7042 
 
 4-85 
 
 4-674 
 
 37 
 
 26 
 
 0-8 
 
 5-66334 
 
 2-18 
 
 2-107 
 
 2-09 
 
 57042 
 
 5-85 
 
 5*674 
 
 47 
 
 27 
 
 0-8 
 
 6-66334 
 
 3-18 
 
 3-I07 
 
 3-09 
 
 6-7042 
 
 6-85 
 
 6-674 
 
 57 
 
 28 
 
 0-8 
 
 0-50878 
 
 0-61 
 
 0-530 
 
 0-51 
 
 0-5507 
 
 0-70 
 
 0-519 
 
 67 
 
 29 
 
 0-8 
 
 1-50878 
 
 1-61 
 
 I-530 
 
 1-51 
 
 I-5507 
 
 170 
 
 1-519 
 
 0-5 
 
 30 
 
 0-8 
 
 2-50878 
 
 2-61 
 
 2-530 
 
 2-51 
 
 2-5507 
 
 270 
 
 2-519 
 
 '5 
 
 31 
 
 0-8 
 
 3-50878 
 
 0-03 
 
 3-530 
 
 3-51 
 
 3-5507 
 
 370 
 
 3'5'9 
 
 2"5 
 
 Nov. 1 
 
 0-8 
 
 4-50878 
 
 1-03 
 
 0-953 
 
 0-94 
 
 4-5507 
 
 4-70 
 
 4-5I9 
 
 3'5 
 
 2 
 
 0-8 
 
 5-50878 
 
 2-03 
 
 '953 
 
 '94 
 
 5-5507 
 
 570 
 
 5-5I9 
 
 4'5 
 
 3 
 
 0-8 
 
 6-50878 
 
 3-03 
 
 2 '953 
 
 2-94 
 
 6-5507 
 
 6-70 
 
 6-519 
 
 5'5 
 
 4 
 
 0-8 
 
 0-35423 
 
 0-45 
 
 0-376 
 
 0-36 
 
 0-397I 
 
 0-55 
 
 0-365 
 
 6-5 
 
 5 
 
 0-8 
 
 I- 354 2 3 
 
 J'45 
 
 1-376 
 
 1-36 
 
 I-397I 
 
 i-55 
 
 1-365 
 
 0-3 
 
 6 
 
 0-8 
 
 2-35423 
 
 2-45 
 
 2-376 
 
 2-36 
 
 2-3971 
 
 2 "55 
 
 2-365 
 
 1-3 
 
 7 
 
 0-9 
 
 
 3-45 
 
 3'376 
 
 3-36 
 
 3-397I 
 
 3'55 
 
 3-365 
 
 2-3 
 
 8 
 
 0-9 
 
 4-35423 
 
 0-88 
 
 0-799 
 
 0-78 
 
 4-397I 
 
 4-55 
 
 J_'2OC 
 
 3'3 
 
 9 
 
 0-9 
 
 5-35423 
 
 1-88 
 
 1799 
 
 178 
 
 5-397I 
 
 5'55 
 
 5 "3^ 5 
 
 4'3 
 
 1O 
 
 0-9 
 
 6-35423 
 
 2-88 
 
 2-799 2-78 
 
 6-3971 
 
 6-55 
 
 6-365 
 
 5"3 
 
 In Leap Year diminish the date in Columns i, 13, by i day after Feb. 28 
 
 167 
 
SATELLITE III 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XII continued Motions of Mean Longitude and the Arguments for Days 
 
 I 
 
 z 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 IO 
 
 ii 
 
 IZ 
 
 Day 
 
 Mean Long. 
 
 A 
 
 B 
 
 c 
 
 D 
 
 E 
 
 F 
 
 G 
 
 H 
 
 i 
 
 J-a 
 
 Nov. 11 
 
 10-05858 
 
 d 
 475921 
 
 d 
 1-919 
 
 d 
 7-07 
 
 d 
 0-1564 
 
 d 
 
 0-1880 
 
 d 
 2-28 
 
 d 
 2-25 
 
 d 
 6-38 
 
 d 
 I4-05 
 
 d 
 3I5-00 
 
 12 
 
 60-37623 
 
 575921 
 
 2-919 
 
 0-90 
 
 1-1564 
 
 1-1880 
 
 3-28 
 
 3-25 
 
 O'2O 
 
 I5-05 
 
 3l6-OO 
 
 13 
 
 110-69387 
 
 675921 
 
 3'9'9 
 
 1-90 
 
 2-1564 
 
 2-1880 
 
 4-28 
 
 4'25 
 
 1-20 
 
 l6-O5 
 
 3I7-00 
 
 14 
 
 i6roi 152 
 
 0-70828 
 
 4-919 
 
 2-90 
 
 3-I564 
 
 3-1880 
 
 5-28 
 
 5^5 
 
 2'2O 
 
 I7-05 
 
 3I8-00 
 
 15 
 
 411-32917 
 
 I-70828 
 
 5-919 
 
 3-90 
 
 4-1564 
 
 4-1880 
 
 6-28 
 
 6-2 5 
 
 3'2O 
 
 18-05 
 
 3I9-OO 
 
 16 
 
 261-64681 
 
 2-70828 
 
 6-919 
 
 4-90 
 
 5-1564 
 
 5-1880 
 
 0-33 
 
 0-30 
 
 4'2O 
 
 19-05 
 
 32O-OO 
 
 17 
 
 3 1 1 -96446 
 
 3-70828 
 
 7-919 
 
 5-90 
 
 6*1564 
 
 6-1880 
 
 I'33 
 
 I-30 
 
 5-20 
 
 2O-O5 
 
 32I-OO 
 
 18 
 
 2-2821 1 
 
 470828 
 
 8-919 
 
 6-90 
 
 O-OOOg 
 
 0-0332 
 
 2'33 
 
 2-30 
 
 6*20 
 
 2I-O5 
 
 322-OO 
 
 19 
 
 5^59975 
 
 5-70828 
 
 9-919 
 
 0-74 
 
 I-OO09 
 
 1-0332 
 
 3-33 
 
 3-30 
 
 O-O2 
 
 22-O5 
 
 323-00 
 
 2O 
 
 102-91740 
 
 670828 
 
 10-919 
 
 1-74 
 
 2-OOO9 
 
 2-0332 
 
 4'33 
 
 4-30 
 
 I -O2 
 
 23-05 
 
 324-00 
 
 21 
 
 153-23504 
 
 0-65735 
 
 11-919 
 
 2-74 
 
 3-0009 
 
 3-0332 
 
 5-33 
 
 5-30 
 
 2'O2 
 
 24^5 
 
 325-00 
 
 22 
 
 203-55269 
 
 I-65735 
 
 0-396 
 
 3-74 
 
 4-0009 
 
 4-0332 
 
 6'33 
 
 6-30 
 
 3-02 
 
 25-05 
 
 326-00 
 
 23 
 
 253-87034 
 
 2-65735 
 
 1-396 
 
 474 
 
 5 -0009 
 
 5-0332 
 
 0-38 
 
 0-35 
 
 4-02 
 
 26-05 
 
 327-00 
 
 24 
 
 304-18798 
 
 3'65735 
 
 2-396 
 
 574 
 
 6-0009 
 
 6-0332 
 
 I- 3 8 
 
 i'35 
 
 5-02 
 
 27-05 
 
 328-OO 
 
 25 
 
 354-50563 
 
 4- 6 5735 
 
 3-396 
 
 6-74 
 
 7-0009 
 
 7-0332 
 
 2-38 
 
 2'35 
 
 6'02 
 
 28-05 
 
 329-00 
 
 26 
 
 44-82328 
 
 5'65735 
 
 4-39 6 
 
 0-58 
 
 0-8453 
 
 0-8784 
 
 3-38 
 
 3-35 
 
 7-02 
 
 29-05 
 
 33O-OO 
 
 27 
 
 95-14092 
 
 6-65735 
 
 5-396 
 
 1-58 
 
 I-8453 
 
 1-8784 
 
 4-38 
 
 4-35 
 
 0-85 
 
 30-05 
 
 33I-OO 
 
 28 
 
 4f45*$7 
 
 0-60642 
 
 6-396 
 
 2-58 
 
 2-8453 
 
 2-8784 
 
 5-38 
 
 5'35 
 
 1-85 
 
 3f05 
 
 332-00 
 
 29 
 
 195-77621 
 
 1-60642 
 
 7-396 
 
 3-58 
 
 3-8453 
 
 3-8784 
 
 6-38 
 
 635 
 
 2-85 
 
 32-05 
 
 333-oo 
 
 3O 
 
 246-09386 
 
 2-60642 
 
 8-396 
 
 4-58 
 
 4-8453 
 
 4-8784 
 
 0-43 
 
 0-40 
 
 3-85 
 
 33-05 
 
 334-00 
 
 Dec. 1 
 
 296-41151 
 
 3-60642 
 
 9'39 6 
 
 5-58 
 
 5-8453 
 
 5-8784 
 
 1-43 
 
 1-40 
 
 4-85 
 
 34-05 
 
 335-00 
 
 2 
 
 346-72915 
 
 4-60642 
 
 10-396 
 
 6-58 
 
 6-8453 
 
 6-8784 
 
 2-43 
 
 2-40 
 
 5-85 
 
 35-05 
 
 336-00 
 
 3 
 
 37-04680 
 
 5-60642 
 
 11-396 
 
 0-42 
 
 0-6898 
 
 0-7236 
 
 3'43 
 
 3-4 
 
 6-85 
 
 36-05 
 
 337-00 
 
 4 
 
 87-36445 
 
 6-60642 
 
 12-396 
 
 1-42 
 
 1-6898 
 
 1-7236 
 
 4'43 
 
 4-4 
 
 0-67 
 
 37-05 
 
 338-00 
 
 5 
 
 137-68210 
 
 0-55550 
 
 0-872 
 
 2-42 
 
 2-6898 
 
 27236 
 
 5'43 
 
 5-40 
 
 1-67 
 
 38-05 
 
 339-00 
 
 6 
 
 187-99974 
 
 1-5555 
 
 1-872 
 
 3-4* 
 
 3-6898 
 
 37236 
 
 6-43 
 
 6-40 
 
 2-67 
 
 39-05 
 
 340-00 
 
 7 
 
 238-31738 
 
 Z'5555 
 
 2-872 
 
 4-42 
 
 4-6898 
 
 4-7236 
 
 0-48 
 
 0-45 
 
 3-67 
 
 40-05 
 
 341-00 
 
 8 
 
 288-63503 
 
 3-55550 
 
 3-872 
 
 5-42 
 
 5-6898 
 
 5-7236 
 
 1-48 
 
 i-45 
 
 4*67 
 
 41-05 
 
 342-00 
 
 9 
 
 338-95268 
 
 4-55550 
 
 4-872 
 
 6-42 
 
 6-6898 
 
 67236 
 
 2-48 
 
 2-45 
 
 5-67 
 
 42-05 
 
 343-00 
 
 1O 
 
 29-27032 
 
 S'55550 
 
 5-872 
 
 0-26 
 
 o-5343 
 
 0-5688 
 
 3-48 
 
 3'45 
 
 6-67 
 
 43-05 
 
 344-oo 
 
 11 
 
 79-58797 
 
 6-55550 
 
 6-872 
 
 1-26 
 
 1-5343 
 
 1-5688 
 
 4-48 
 
 4'45 
 
 0-49 
 
 44^5 
 
 345'oo 
 
 12 
 
 129-90562 
 
 0-50457 
 
 7-872 
 
 2-26 
 
 2-5343 
 
 2-5688 
 
 5-48 
 
 5'45 
 
 1*49 
 
 45^5 
 
 346*00 
 
 13 
 
 180-22326 
 
 1-50457 
 
 8-872 
 
 3-26 
 
 3-5343 
 
 3-5688 
 
 6-48 
 
 6-45 
 
 2-49 
 
 46-05 
 
 347-00 
 
 14 
 
 230-54091 
 
 2-50457 
 
 9-872 
 
 4-26 
 
 4-5343 
 
 4-5688 
 
 0-53 
 
 0-50 
 
 3'49 
 
 47-05 
 
 348-00 
 
 15 
 
 280-85856 
 
 3-5 457 
 
 10-872 
 
 5-26 
 
 5-5343 
 
 5*5688 
 
 1-53 
 
 1-50 
 
 4'49 
 
 48-05 
 
 349-00 
 
 
 
 
 
 
 
 
 
 
 
 
 
 16 
 
 331-17620 
 
 4-50457 
 
 11-872 
 
 6-26 
 
 6-5343 
 
 6*5688 
 
 2'53 
 
 2-50 
 
 5H9 
 
 49-05 
 
 350-00 
 
 17 
 
 21-49385 
 
 5-50457 
 
 o-349 
 
 O'lO 
 
 0-3787 
 
 o'4'39 
 
 3'53 
 
 3'5 
 
 6-49 
 
 50-05 
 
 351-00 
 
 18 
 
 71-81149 
 
 6-50457 
 
 I- 349 
 
 no 
 
 1-3787 
 
 I-4I39 
 
 4-53 
 
 4-50 
 
 0-31 
 
 0-89 
 
 352-00 
 
 19 
 
 122*12914 
 
 0-45364 
 
 2-349 
 
 2'IO 
 
 2-3787 
 
 2*4139 
 
 5-53 
 
 5-50 
 
 1-31 
 
 1-89 
 
 353-00 
 
 20 
 
 172-44679 
 
 1-45364 
 
 3-349 
 
 3-10 
 
 3-3787 
 
 3-4I39 
 
 6-53 
 
 6-50 
 
 2-31 
 
 2-89 
 
 354-0 
 
 21 
 
 222-76443 
 
 2-453 6 4 
 
 4'349 
 
 4-10 
 
 4-3787 
 
 4-4139 
 
 0-58 
 
 o'55 
 
 3-3i 
 
 3-89 
 
 355-00 
 
 22 
 
 273-08208 
 
 3-45364 
 
 5 '349 
 
 5-10 
 
 5-3787 
 
 5'4!39 
 
 1-58 
 
 i-55 
 
 4-31 
 
 4-89 
 
 356-00 
 
 23 
 
 323-39973 
 
 4-45364 
 
 6-349 
 
 6-10 
 
 6-3787 
 
 6'4>39 
 
 2-58 
 
 2-55 5-3i 
 
 5-89 
 
 357-00 
 
 24 
 
 I37I737 
 
 5-45364 
 
 7-349 
 
 7-10 
 
 0-2232 
 
 0-2591 
 
 3-58 
 
 3'55 6 '3i 
 
 6-89 
 
 358-00 
 
 25 
 
 64-03502 
 
 6-45364 
 
 8-349 
 
 0-94 
 
 1-2232 
 
 1-2591 
 
 4-58 
 
 4'55 
 
 0-14 
 
 7-89 
 
 359-00 
 
 26 
 
 1 14-35266 
 
 0-40272 
 
 9'349 
 
 1-94 
 
 2-2232 
 
 2-2591 
 
 5-58 
 
 5-55 
 
 1-14 
 
 8-89 
 
 360-00 
 
 27 
 
 164-67031 
 
 1-40272 
 
 10-349 
 
 2-94 
 
 3-2232 
 
 3-2591 
 
 6-58 
 
 6-55 
 
 2-14 
 
 9-89 
 
 361-00 
 
 28 
 
 214-98796 
 
 2-40272 
 
 11-349 
 
 3 '94 
 
 42232 
 
 4-2591 
 
 0-63 
 
 0-60 
 
 3-14 
 
 lO-Sg 
 
 362-00 
 
 29 
 
 265-30560 
 
 3-40272 
 
 12-349 
 
 4'94 
 
 5-2232 
 
 5-2591 
 
 1-63 
 
 i -60 
 
 4-14 
 
 Il-Sg 
 
 363-00 
 
 30 
 
 315-62325 
 
 4-40272 
 
 0-826 
 
 S'94 
 
 6-2232 
 
 6-2591 
 
 2-63 
 
 2-60 
 
 5-H 
 
 12*89 
 
 364-00 
 
 31 
 
 5-94090 
 
 5-40272 
 
 1-826 
 
 6'94 
 
 0-0677 
 
 0-1043 
 
 3-63 
 
 3-60 
 
 6-14 
 
 13-89 
 
 365-00 
 
 32 
 
 56-25854 
 
 6-40272 
 
 2-826 
 
 0-78 
 
 1-0677 
 
 1-1043 
 
 4-63 
 
 4-60 
 
 r*4 
 
 14-8 9 
 
 366-00 
 
 In Leap Year diminish the date in Columns i, 13, by i day after Feb. 28 
 168 
 
SATELLITE III 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XII continued Motions of Mean Longitude and the Arguments for Days 
 
 '3 
 
 '4 
 
 '5 
 
 it 
 
 '7 
 
 il 
 
 '9 
 
 20 
 
 21 
 
 22 
 
 Day 
 
 N 
 
 
 
 P 
 
 Q 
 
 R 
 
 s 
 
 T 
 
 u 
 
 V 
 
 Nov. 11 
 
 r 
 0-9 
 
 d 
 
 0-19968 
 
 d 
 0-30 
 
 d 
 O-222 
 
 d 
 O-2I 
 
 d 
 0-2435 
 
 d 
 0-40 
 
 d 
 O'21I 
 
 d 
 
 6-3 
 
 12 
 
 0-9 
 
 1-19968 
 
 I-30 
 
 1-222 
 
 III 
 
 1-2435 
 
 I-40 
 
 I-2II 
 
 O-2 
 
 13 
 
 0-9 
 
 2-19968 
 
 2-30 
 
 2-222 
 
 2'2I 
 
 2*2435 
 
 2-40 
 
 2-2II 
 
 1*1 
 
 14 
 
 0-9 
 
 3-19968 
 
 3-30 
 
 3'222 
 
 3 -2 1 
 
 3^435 
 
 3-40 
 
 3"2II 
 
 2'2 
 
 15 
 
 0-9 
 
 4-19968 
 
 073 
 
 0-645 
 
 0-63 
 
 4^435 
 
 4-40 
 
 4*2 1 1 
 
 r 
 
 16 
 
 0-9 
 
 5-19968 
 
 173 
 
 1-645 
 
 1-63 
 
 5'*435 
 
 5 "4 
 
 5-211 
 
 4-2 
 
 17 
 
 0-9 
 
 6-19968 
 
 273 
 
 2-645 
 
 2-63 
 
 6-2435 
 
 6-40 
 
 6-2II 
 
 S" 2 
 
 18 
 
 0-9 
 
 0-04512 
 
 0-15 
 
 0-068 
 
 O-O5 
 
 0-0900 
 
 0-25 
 
 0-057 
 
 6-2 
 
 19 
 
 0-9 
 
 1-04512 
 
 I-I5 
 
 i -068 
 
 I-0 5 
 
 i -0900 
 
 1-25 
 
 1-057 
 
 o-o 
 
 20 
 
 0-9 
 
 2-04512 
 
 2-15 
 
 2-068 
 
 
 2*0900 
 
 2-25 
 
 2-057 
 
 i-o 
 
 21 
 
 0-9 
 
 3-04512 
 
 3-'5 
 
 3-068 
 
 3-05 
 
 3-0900 
 
 3-25 
 
 3-057 
 
 2-0 
 
 22 
 
 0-9 
 
 4-04512 
 
 0-57 
 
 0-491 
 
 0-47 
 
 4-0900 
 
 4'*S 
 
 4-057 
 
 3-0 
 
 23 
 
 0-9 
 
 5-04512 
 
 '57 
 
 1-491 
 
 1-47 
 
 5 -0900 
 
 5-25 
 
 5-057 
 
 4-0 
 
 24 
 
 0-9 
 
 6-04512 
 
 2-57 
 
 2-491 
 
 2 "47 
 
 6-0900 
 
 6-25 
 
 6-057 
 
 5-0 
 
 25 
 
 0-9 
 
 7-04512 
 
 O'OO 
 
 3 '49' 
 
 3-47 
 
 7-0900 
 
 O'lO 
 
 7-057 
 
 6-0 
 
 26 
 
 0-9 
 
 0-89057 
 
 I'OO 
 
 0-914 
 
 0-90 
 
 0-9364 
 
 no 
 
 0-902 
 
 7-0 
 
 27 
 
 0-9 
 
 1-89057 
 
 2"OO 
 
 1-914 
 
 1-90 
 
 1-9364 
 
 2-IO 
 
 1-902 
 
 0-8 
 
 28 
 
 0-9 
 
 2-89057 
 
 3-OO 
 
 2-914 
 
 2-90 
 
 2-9364 
 
 3-10 
 
 2-902 
 
 1-8 
 
 29 
 
 o-9 
 
 3-89057 
 
 0-42 
 
 0-336 
 
 0-32 
 
 3-9364 
 
 4-10 
 
 3-902 
 
 2-8 
 
 3O 
 
 0-9 
 
 4-89057 
 
 I- 4 2 
 
 1-336 
 
 1-32 
 
 4-9364 
 
 5-10 
 
 4-902 
 
 3-8 
 
 Dec. 1 
 
 0-9 
 
 5-89057 
 
 2-42 
 
 2-336 
 
 2-32 
 
 5-9364 
 
 6-10 
 
 5-902 
 
 4-8 
 
 2 
 
 0-9 
 
 6-89057 
 
 3-42 
 
 3.336 
 
 
 6-9364 
 
 7-10 
 
 6-902 
 
 5-8 
 
 3 
 
 0-9 
 
 0-73602 
 
 0-85 
 
 0-759 
 
 074 
 
 0-7829 
 
 0-95 
 
 0-748 
 
 6-8 
 
 4 
 
 0-9 
 
 1-73602 
 
 |8 S 
 
 1759 
 
 '74 
 
 17829 
 
 1-95 
 
 1-748 
 
 0-6 
 
 5 
 
 0-9 
 
 2-73602 
 
 2-85 
 
 2-759 
 
 2-74 
 
 2-7829 
 
 2-95 
 
 2-748 
 
 1-6 
 
 6 
 
 0-9 
 
 3-73602 
 
 0-27 
 
 0-182 
 
 0-16 
 
 37829 
 
 3'9S 
 
 3748 
 
 2-6 
 
 7 
 
 0-9 
 
 4-73602 
 
 1-27 
 
 1-182 
 
 1-16 
 
 4-7829 
 
 4-95 
 
 4-748 
 
 3-6 
 
 8 
 
 0-9 
 
 5-73602 
 
 2-27 
 
 2-182 
 
 2-16 
 
 5-7829 
 
 595 
 
 5-748 
 
 4-6 
 
 9 
 
 0-9 
 
 6-73602 
 
 3-27 
 
 3-182 
 
 3-16 
 
 6-7829 
 
 6-95 
 
 6-748 
 
 5-6 
 
 10 
 
 0-9 
 
 0-58147 
 
 0-69 
 
 0-605 
 
 0'59 
 
 0-6293 
 
 0-80 
 
 0-594 
 
 6-6 
 
 11 
 
 0-9 
 
 1-58147 
 
 1-69 
 
 1-605 
 
 1-59 
 
 1-6293 
 
 i -80 
 
 1-594 
 
 0-4 
 
 12 
 
 0-9 
 
 2-58147 
 
 2-69 
 
 2-605 
 
 2-59 
 
 2-6293 
 
 2-80 
 
 2-594 
 
 '4 
 
 13 
 
 o 
 
 3'5 8l 47 
 
 0-12 
 
 0-028 
 
 O'OI 
 
 3-6293 
 
 3-80 
 
 3-594 
 
 2-4 
 
 14 
 
 o 
 
 4-58147 
 
 I'll 
 
 1-028 
 
 l-OI 
 
 4-6293 
 
 4-80 
 
 4-594 
 
 3'4 
 
 15 
 
 o 
 
 
 2-12 
 
 2-028 
 
 2-01 
 
 5-6293 
 
 5-80 
 
 5-594 
 
 4'4 
 
 16 
 
 o 
 
 6-58147 
 
 3-12 
 
 3-028 
 
 3-01 
 
 6-6293 
 
 6-80 
 
 6-594 
 
 5'4 
 
 17 
 
 o 
 
 0-42691 
 
 
 0-451 
 
 
 0-4758 
 
 0-65 
 
 0-439 
 
 6'4 
 
 18 ! -0 
 
 1-42691 
 
 1-54 
 
 1-451 
 
 '43 
 
 1-4758 
 
 1-65 
 
 1-439 
 
 "3 
 
 19 
 
 o 
 
 2-42691 
 
 2-54 
 
 2-451 
 
 2-43 
 
 2-4758 
 
 2-65 
 
 2-439 
 
 '3 
 
 2O 
 
 o 
 
 3-42691 
 
 
 3-45 1 
 
 3-43 
 
 3-4758 
 
 3-65 
 
 3-439 
 
 2-3 
 
 21 
 
 o 
 
 4-42691 
 
 0-96 
 
 0-874 
 
 0-86 
 
 4-4758 
 
 4-65 
 
 4-439 
 
 3'3 
 
 22 
 23 
 
 o 
 o 
 
 5-42691 
 6-42691 
 
 1-96 
 2-96 
 
 1-874 
 2-874 
 
 1-86 
 2-86 
 
 6*4758 
 
 5-65 
 6-65 
 
 5-439 
 6-439 
 
 4'3 
 5'3 
 
 24 
 
 o 
 
 0-27236 
 
 "39 
 
 0-297 
 
 0-28 
 
 0-3222 
 
 0-50 
 
 0-285 
 
 3 
 
 25 
 
 o 
 
 1-27236 
 
 I'39 
 
 1-297 
 
 1-28 
 
 1-3222 
 
 1-50 
 
 1-285 
 
 O'l 
 
 26 
 
 o 
 
 2-27236 
 
 2-39 
 
 2-297 
 
 2-28 
 
 2-3222 
 
 2-50 
 
 2-285 
 
 r 
 
 27 
 
 o 
 
 3-27236 
 
 3"39 
 
 3-297 
 
 3-28 
 
 3-3222 
 
 3-5 
 
 3-285 
 
 O _ 
 
 2* 
 
 28 
 
 o 
 
 4-27236 
 
 0-81 
 
 0-720 
 
 0-70 
 
 4-3222 
 
 4-50 
 
 4-285 
 
 3" 
 
 29 
 
 o 
 
 5-27236 
 
 1-81 
 
 1-720 
 
 1-70 
 
 5-3222 
 
 5-50 
 
 5-285 
 
 4' 
 
 30 
 
 o 
 
 6-27236 
 
 2-81 
 
 2-720 
 
 2-70 
 
 6-3222 
 
 6-50 
 
 6-285 
 
 5' 
 
 31 
 
 "O 
 
 0-11781 
 
 0-24 
 
 0-143 
 
 O'I2 
 
 0-1687 
 
 0-36 
 
 0-131 
 
 6- 
 
 32 
 
 o 
 
 1-11781 
 
 1-24 
 
 
 ri2 
 
 1-1687 
 
 1-36 
 
 1-131 
 
 7' 
 
 In Leap Year dimmish the date in Columns i, 13, by i day after Feb. a8. 
 
 ,69 
 
SATELLITE III 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XIII Motion of Mean Longitude for Parts of a Day 
 
 I 
 
 2 
 
 i 
 
 2 
 
 Days 
 
 Mean Long. 
 
 Days 
 
 Mean Long. 
 
 d 
 
 o 
 
 d 
 
 
 
 000 
 
 O'OOOOO 
 
 050 
 
 25-15882 
 
 01 
 
 o - 503i8 
 
 51 
 
 25-66200 
 
 02 
 
 1-00635 
 
 52 
 
 26-16518 
 
 03 
 
 1-50953 
 
 53 
 
 26-66835 
 
 O4 
 
 2-01271 
 
 54 
 
 27-17153 
 
 05 
 
 2-51588 
 
 55 
 
 27-67471 
 
 006 
 
 3-01906 
 
 056 
 
 28-17788 
 
 O7 
 
 3-52224 
 
 57 
 
 28-68106 
 
 OS 
 
 4-02541 
 
 58 
 
 29-18423 
 
 09 
 
 4-52859 
 
 59 
 
 29-68741 
 
 1O 
 
 5-03176 
 
 60 
 
 30-19059 
 
 Oil 
 
 S'53494 
 
 061 
 
 30-69376 
 
 12 
 
 6-03812 
 
 62 
 
 31-19694 
 
 13 
 
 6-54129 
 
 63 
 
 31-70012 
 
 14 
 
 7-04447 
 
 64 
 
 32-20329 
 
 15 
 
 7-54765 
 
 65 
 
 32-70647 
 
 016 
 
 8-05082 
 
 066 
 
 33-20965 
 
 17 
 
 8-55400 
 
 67 
 
 33-71282 
 
 18 
 
 9-05718 
 
 68 
 
 34-21600 
 
 19 
 
 9-56035 
 
 69 
 
 3471918 
 
 20 
 
 10-06353 
 
 7O 
 
 35-22235 
 
 21 
 
 10-56671 
 
 O-71 
 
 3572553 
 
 22 
 
 11-06988 
 
 72 
 
 36-22871 
 
 23 
 
 1 1-57306 
 
 73 
 
 36-73188 
 
 24 
 
 12-07624 
 
 74 
 
 37-23506 
 
 25 
 
 12-57941 
 
 75 
 
 3773823 
 
 026 
 
 13-08259 
 
 0-76 
 
 38-24141 
 
 27 
 
 13-58576 
 
 77 
 
 38-74459 
 
 28 
 
 14-08894 
 
 78 
 
 39-24776 
 
 29 
 
 14-59212 
 
 79 
 
 3975094 
 
 30 
 
 15-09529 
 
 80 
 
 40-25412 
 
 031 
 
 15-59847 
 
 081 
 
 40-75729 
 
 32 
 
 16-10165 
 
 82 
 
 41 '26047 
 
 33 
 
 16-60482 
 
 83 
 
 41-76365 
 
 34 
 
 17-10800 
 
 84 
 
 42-26682 
 
 35 
 
 17-61 118 
 
 85 
 
 42-77000 
 
 036 
 
 18-11435 
 
 086 
 
 43'*73'8 
 
 37 
 
 18-61753 
 
 87 
 
 4377635 
 
 38 
 
 19-12071 
 
 88 
 
 44'27953 
 
 39 
 
 19-62388 
 
 89 
 
 44-78271 
 
 4O 
 
 20-12706 
 
 9O 
 
 45-28588 
 
 O-41 
 
 20-63023 
 
 091 
 
 45-78906 
 
 42 
 
 21-13341 
 
 92 
 
 46-29223 
 
 43 
 
 21-63659 
 
 93 
 
 46-79541 
 
 44 
 
 22-13976 
 
 94 
 
 47-29859 
 
 45 
 
 22-64294 
 
 95 
 
 47-80176 
 
 046 
 
 23-14612 
 
 096 
 
 48-30494 
 
 47 
 
 23-64929 
 
 97 
 
 48-80812 
 
 48 
 
 24-15247 
 
 98 
 
 49-31129 
 
 49 
 
 24-65565 
 
 99 
 
 49-81447 
 
 50 
 
 25-15882 
 
 1 00 
 
 50-31765 
 
 3 
 
 4 
 
 3 
 
 4 
 
 Days 
 
 Mean Long. 
 
 Days 
 
 Mean Long. 
 
 d 
 
 o 
 
 d 
 
 o 
 
 00000 
 
 o-ooooo 
 
 00050 
 
 0-25159 
 
 1 
 
 503 
 
 51 
 
 25662 
 
 2 
 
 1006 
 
 52 
 
 26165 
 
 3 
 
 1509 
 
 53 
 
 26668 
 
 4 
 
 2013 
 
 54 
 
 27172 
 
 5 
 
 2516 
 
 55 
 
 27675 
 
 00006 
 
 0-03019 
 
 0-0056 
 
 0-28178 
 
 7 
 
 3522 
 
 57 
 
 28681 
 
 8 
 
 4025 
 
 58 
 
 29184 
 
 9 
 
 4529 
 
 59 
 
 29687 
 
 1O 
 
 5032 
 
 6O 
 
 30191 
 
 001 1 
 
 0-05535 
 
 OO61 
 
 0-30694 
 
 12 
 
 6038 
 
 62 
 
 31197 
 
 13 
 
 6541 
 
 63 
 
 31700 
 
 14 
 
 7044 
 
 64 
 
 32203 
 
 15 
 
 7548 
 
 65 
 
 32706 
 
 001 6 
 
 0-08051 
 
 0066 
 
 o'332io 
 
 17 
 
 8554 
 
 67 
 
 33713 
 
 18 
 
 957 
 
 68 
 
 34216 
 
 19 
 
 9560 
 
 69 
 
 34719 
 
 2O 
 
 10064 
 
 7O 
 
 35222 
 
 00021 
 
 0-10567 
 
 00071 
 
 0-35726 
 
 22 
 
 i 1070 
 
 72 
 
 36229 
 
 23 
 
 U573 
 
 73 
 
 36732 
 
 24 
 
 12076 
 
 74 
 
 37235 
 
 25 
 
 12579 
 
 75 
 
 37738 
 
 00026 
 
 0-13083 
 
 00076 
 
 0-38241 
 
 27 
 
 13586 
 
 77 
 
 38745 
 
 28 
 
 14089 
 
 78 
 
 39248 
 
 29 
 
 14592 
 
 79 
 
 3975' 
 
 30 
 
 15095 
 
 SO 
 
 40254 
 
 00031 
 
 0-15598 
 
 0-0081 
 
 0-40757 
 
 32 
 
 16102 
 
 82 
 
 41260 
 
 33 
 
 16605 
 
 83 
 
 41764 
 
 34 
 
 17108 
 
 84 
 
 42267 
 
 35 
 
 17611 
 
 85 
 
 42770 
 
 00036 
 
 0-18114 
 
 00086 
 
 0-43273 
 
 37 
 
 18618 
 
 87 
 
 43776 
 
 38 
 
 19121 
 
 88 
 
 44280 
 
 39 
 
 19624 
 
 89 
 
 -44783 
 
 40 
 
 20127 
 
 90 
 
 45286 
 
 00041 
 
 0*20630 
 
 00091 
 
 0-45789 
 
 42 
 
 21133 
 
 92 
 
 46292 
 
 43 
 
 21637 
 
 93 
 
 46795 
 
 44 
 
 22140 
 
 94 
 
 47299 
 
 45 
 
 22643 
 
 95 
 
 47802 
 
 00046 
 
 o - 23i46 
 
 00096 
 
 0-48305 
 
 47 
 
 23649 
 
 97 
 
 48808 
 
 48 
 
 24152 
 
 98 
 
 49311 
 
 49 
 
 24656 
 
 99 
 
 49814 
 
 50 
 
 0-25159 
 
 0-0100 
 
 0-50318 
 
 170 
 
XIV 
 
 SATELLITE III 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 Equation of Longitude Argument A 
 
 I 
 
 2 
 
 3 
 
 4 
 
 I 
 
 2 
 
 3 
 
 4 
 
 I 
 
 2 
 
 3 
 
 4 
 
 I 
 
 2 
 
 3 
 
 4 
 
 A 
 
 Equa- 
 tion 
 
 A 
 O d 'OI 
 
 i* 
 
 A 
 
 Equa- 
 tion 
 
 A 
 O d 'OI 
 
 JA* 
 
 A 
 
 Equa- 
 tion 
 
 A 
 Od'OI 
 
 k& 
 
 A 
 
 Equa- 
 tion 
 
 A 
 O d 'OI 
 
 *A* 
 
 d 
 
 o 
 
 
 
 d 
 
 o 
 
 
 
 d 
 
 o 
 
 
 
 d 
 
 o 
 
 
 
 000 
 
 0-07000 
 
 ~ 67,0 
 
 0,0 
 
 200 
 
 0-00396 
 
 + 12,8 
 
 + 0,4 
 
 400 
 
 0-09857 
 
 + 55,8 
 
 -0,1 
 
 600 
 
 0-12690 
 
 - 33,o 
 
 -0,2 
 
 O4 
 
 6731 
 
 66,8 
 
 0,0 
 
 04 
 
 449 
 
 14,5 
 
 o,3 
 
 04 
 
 10078 
 
 54,8 
 
 0,1 
 
 04 
 
 12555 
 
 34,5 
 
 0,2 
 
 08 
 
 6463 
 
 66,8 
 
 + 0,1 
 
 08 
 
 5" 
 
 16,3 
 
 0,1 
 
 O8 
 
 10295 
 
 53,5 
 
 -0,2 
 
 08 
 
 12412 
 
 36,8 
 
 0,1 
 
 12 
 
 6196 
 
 66,8 
 
 + 0,1 
 
 12 
 
 580 
 
 18,3 
 
 0,1 
 
 12 
 
 10506 
 
 52,5 
 
 0,0 
 
 12 
 
 12262 
 
 38,5 
 
 0,2 
 
 16 
 
 5931 
 
 66,0 
 
 0,0 
 
 16 
 
 656 
 
 20,0 
 
 0,2 
 
 16 
 
 10713 
 
 5',o 
 
 -0,2 
 
 16 
 
 1 2 1 04 
 
 40,5 
 
 0,3 
 
 2O 
 
 5667 
 
 65,5 
 
 + 0,2 
 
 20 
 
 74 
 
 21,8 
 
 0,1 
 
 20 
 
 1 09 1 4 
 
 49,5 
 
 -0,2 
 
 2O 
 
 II939 
 
 42,3 
 
 ,4 
 
 024 
 
 0-05407 
 
 - 65,0 
 
 + 0,1 
 
 2-24 
 
 0-00830 
 
 + 23,5 
 
 + 0,2 
 
 4-24 
 
 o'liioS 
 
 + 48,0 
 
 0,0 
 
 624 
 
 OMI766 
 
 - 44,o 
 
 -0,2 
 
 28 
 
 5150 
 
 63,9 
 
 O, I 
 
 28 
 
 928 
 
 25,3 
 
 0,1 
 
 28 
 
 11298 
 
 46,5 
 
 -0,2 
 
 28 
 
 11586 
 
 46,0 
 
 0,2 
 
 32 
 
 4897 
 
 63,0 
 
 0,1 
 
 32 
 
 1033 
 
 27,3 
 
 0,1 
 
 32 
 
 11481 
 
 45,o 
 
 0,3 
 
 32 
 
 '"399 
 
 47,8 
 
 o,4 
 
 36 
 
 4648 
 
 61,8 
 
 0,1 
 
 36 
 
 1145 
 
 29,0 
 
 0,2 
 
 36 
 
 11657 
 
 43,o 
 
 0,2 
 
 36 
 
 11204 
 
 49,3 
 
 o,' 
 
 40 
 
 44 3 
 
 60,5 
 
 0,2 
 
 4O 
 
 1264 
 
 30,5 
 
 + 0,2 
 
 40 
 
 11827 
 
 42,0 
 
 o,3 
 
 40 
 
 11003 
 
 5', 3 
 
 0,1 
 
 044 
 
 0-04164 
 
 - 59-3 
 
 + 0,1 
 
 2-44 
 
 0-01391 
 
 + 32,5 
 
 0,0 
 
 444 
 
 o-i 1990 
 
 + 39,8 
 
 -0,1 
 
 6-44 
 
 0-10796 
 
 - 52,8 
 
 -0,4 
 
 48 
 
 3930 
 
 58,0 
 
 0,0 
 
 48 
 
 1524 
 
 34,3 
 
 + 0,1 
 
 48 
 
 12146 
 
 38,3 
 
 0,1 
 
 48 
 
 10581 
 
 54,5 
 
 o,3 
 
 52 
 
 3701 
 
 56,3 
 
 + 0,1 
 
 52 
 
 1665 
 
 36,0 
 
 0,0 
 
 52 
 
 12296 
 
 37,o 
 
 0,5 
 
 52 
 
 10360 
 
 55,8 
 
 -0,1 
 
 56 
 
 3479 
 
 54,8 
 
 0,1 
 
 56 
 
 1812 
 
 37,8 
 
 + 0,1 
 
 56 
 
 12438 
 
 34,8 
 
 0,1 
 
 56 
 
 10133 
 
 57,5 
 
 0,0 
 
 60 
 
 3263 
 
 53,3 
 
 0,1 
 
 60 
 
 1966 
 
 39,5 
 
 0,2 
 
 60 
 
 12574 
 
 33,o 
 
 0,2 
 
 60 
 
 9901 
 
 59,o 
 
 -0,2 
 
 64 
 
 0-03053 
 
 - 5i,8 
 
 + 0,1 
 
 264 
 
 0-02128 
 
 + 4', 3 
 
 + 0,1 
 
 4-64 
 
 0-12702 
 
 + 3',o 
 
 -0,2 
 
 6-64 
 
 0-09663 
 
 - 60,0 
 
 -0,2 
 
 68 
 
 2850 
 
 50,0 
 
 0,1 
 
 68 
 
 2296 
 
 42,8 
 
 + 0,1 
 
 68 
 
 12823 
 
 29,5 
 
 0,2 
 
 68 
 
 9419 
 
 6',5 
 
 0,0 
 
 72 
 
 2653 
 
 48,0 
 
 0,4 
 
 72 
 
 2471 
 
 44,5 
 
 0,0 
 
 72 
 
 12937 
 
 27,8 
 
 -0,1 
 
 72 
 
 9172 
 
 62,5 
 
 -0,2 
 
 76 
 
 2464 
 
 46,8 
 
 ,4 
 
 76 
 
 2652 
 
 4 6 >3 
 
 + 0,1 
 
 76 
 
 13044 
 
 26,0 
 
 0,0 
 
 76 
 
 8919 
 
 63,5 
 
 0,0 
 
 80 
 
 2282 
 
 44,5 
 
 o,3 
 
 80 
 
 2839 
 
 47,o 
 
 0,2 
 
 so 
 
 13144 
 
 23,8 
 
 -0,1 
 
 80 
 
 8663 
 
 64,5 
 
 0,0 
 
 O'84 
 
 O'02I08 
 
 - 42,8 
 
 + 0,1 
 
 284 
 
 0-03032 
 
 + 49> 
 
 + 0,2 
 
 484 
 
 0-13236 
 
 + 22,3 
 
 -0,1 
 
 684 
 
 0-08404 
 
 -65,3 
 
 -0,1 
 
 88 
 
 194 
 
 41,0 
 
 o,3 
 
 88 
 
 3232 
 
 5>5 
 
 0,0 
 
 88 
 
 13322 
 
 20,5 
 
 0,* 
 
 88 
 
 8142 
 
 65,8 
 
 -0,1 
 
 92 
 
 1780 
 
 39, 
 
 o,3 
 
 92 
 
 3437 
 
 52,0 
 
 0,0 
 
 92 
 
 13400 
 
 18,8 
 
 o.i 
 
 92 
 
 7877 
 
 66,5 
 
 0,0 
 
 96 
 
 1628 
 
 37,o 
 
 o,3 
 
 96 
 
 3647 
 
 53,3 
 
 + 0,1 
 
 96 
 
 13471 
 
 1 6,8 
 
 0,1 
 
 96 
 
 7610 
 
 67,0 
 
 0,0 
 
 roo 
 
 1483 
 
 35,3 
 
 o,4 
 
 3 00 '< 3862 
 
 54,3 
 
 0,1 
 
 500 
 
 '3535 
 
 S-o 
 
 0,2 
 
 7 00 
 
 7342 
 
 67,0 
 
 0,0 
 
 1 04 
 
 0-01346 
 
 - 33,5 
 
 + 0,3 
 
 3-O4 I 0-04082 
 
 + 55,8 
 
 + 0,1 
 
 504 
 
 0-13592 
 
 + 13,3 
 
 -0,4 
 
 704 
 
 0-07073 
 
 - 67,3 
 
 + 0,1 
 
 08 
 
 1217 
 
 3',3 
 
 0,1 
 
 OS 
 
 4306 
 
 56,5 
 
 + 0,2 
 
 08 
 
 13641 
 
 ii,5 
 
 0,2 
 
 08 
 
 6804 
 
 67,3 
 
 + 0,1 
 
 12 
 
 1095 
 
 29,5 
 
 ,3 
 
 12 
 
 4535 
 
 57,5 
 
 0,0 
 
 12 
 
 13683 
 
 9,8 
 
 0,1 
 
 12 
 
 6536 
 
 67,0 
 
 0,0 
 
 16 
 
 982 
 
 27,3 
 
 o,' 
 
 16 
 
 4767 
 
 58,8 
 
 + 0,1 
 
 16 
 
 13719 
 
 7,5 
 
 o,5 
 
 16 
 
 6269 
 
 66,5 
 
 0,0 
 
 2O 
 
 875 
 
 25,5 
 
 ,5 
 
 2O 
 
 5003 
 
 59,3 
 
 0,1 
 
 2O 
 
 I374 6 
 
 6,3 
 
 o,4 
 
 2O 
 
 6003 
 
 66,3 
 
 + 0,1 
 
 1-24 
 
 0-00778 
 
 - 23,8 
 
 + 0,1 
 
 3-24 
 
 0-05241 
 
 + 60,0 
 
 + 0,2 
 
 524 
 
 0-13766 
 
 + 4,3 
 
 -0,1 
 
 7-24 
 
 0-05739 
 
 - 65,8 
 
 + 0,1 
 
 28 
 
 688 
 
 21,5 
 
 0,0 
 
 28 5483 
 
 60,5 
 
 0,0 
 
 28 
 
 13779 
 
 *,0 
 
 0,2 
 
 28 
 
 5478 
 
 65,0 
 
 0,0 
 
 32 
 
 605 
 
 '9,5 
 
 + 0,2 
 
 32 5726 
 
 6i,3 
 
 + 0,1 
 
 32 
 
 13785 
 
 + 0,8 
 
 ,4 
 
 32 
 
 5220 
 
 64,0 
 
 0,0 
 
 36 
 
 53' 
 
 '7,5 
 
 0,3 
 
 36 5972 
 
 61,5 
 
 0,0 
 
 36 
 
 13783 
 
 i,5 
 
 o,3 
 
 36 
 
 4966 
 
 63,0 
 
 0,0 
 
 40 
 
 465 
 
 '5,8 
 
 0,1 
 
 '4O 6219 
 
 62,0 
 
 0,0 
 
 4O 
 
 13773 
 
 3,5 
 
 o,3 
 
 40 
 
 47'5 
 
 62,0 
 
 + 0,2 
 
 1-44 
 
 0-00406 
 
 - !3,5 
 
 + 0,2 
 
 344 0-06467 
 
 + 62,3 
 
 + 0,1 
 
 5-44 
 
 0-13755 
 
 5,3 
 
 -0,3 
 
 744 
 
 0-04469 
 
 - 61,0 
 
 + 0,2 
 
 48 
 
 356 
 
 11,8 
 
 0,1 
 
 48 6716 
 
 62,3 
 
 + 0,1 
 
 48 
 
 '373' 
 
 7,3 
 
 o,4 
 
 48 
 
 4229 
 
 59-5 
 
 0,0 
 
 52 
 
 3'3 
 
 9,8 
 
 0,1 
 
 52 6966 
 
 62,5 
 
 0,0 
 
 52 
 
 13698 
 
 9,3 
 
 o,4 
 
 52 
 
 3993 
 
 58,3 
 
 + 0,1 
 
 56 
 
 278 
 
 7,8 
 
 0,1 
 
 56 7215 
 
 62,3 
 
 + 0,1 
 
 56 
 
 13657 
 
 11,0 
 
 o,3 
 
 56 
 
 3763 
 
 56,8 
 
 0,1 
 
 6O 
 
 250 
 
 5,8 
 
 0,4 
 
 60 7465 
 
 62,3 
 
 -0,1 
 
 60 
 
 13609 
 
 13,3 
 
 o,4 
 
 60 
 
 3539 
 
 55,3 
 
 0,1 
 
 1-64 
 
 0-00231 
 
 4,0 
 
 + 0,3 
 
 3-64 0-07713 
 
 + 61,8 
 
 -0,1 
 
 564 
 
 0-13552 
 
 - 15,0 
 
 -o,3 
 
 764 
 
 0-03321 
 
 - 54,3 
 
 + 0,1 
 
 68 
 
 219 
 
 - 2,0 
 
 o,3 
 
 68 7961 
 
 62,0 
 
 -0,2 
 
 68 
 
 13488 
 
 17,0 
 
 o,3 
 
 68 
 
 3109 
 
 52,0 
 
 0,2 
 
 72 
 
 215 
 
 0,0 
 
 o,3 
 
 72 
 
 8207 
 
 61,5 
 
 0,0 
 
 72 
 
 13416 
 
 '9,o 
 
 o,3 
 
 72 
 
 2905 
 
 50,3 
 
 0,1 
 
 76 
 
 218 
 
 + 1,8 
 
 o,4 
 
 76 
 
 8451 
 
 60,8 
 
 -0,1 
 
 76 
 
 13336 
 
 20,5 
 
 o,5 
 
 76 
 
 2707 
 
 48,8 
 
 0,1 
 
 80 
 
 229 
 
 3,8 
 
 ,4 
 
 80 
 
 8693 
 
 60,3 
 
 -0,1 
 
 80 
 
 13248 
 
 23,0 
 
 0,2 
 
 80 
 
 2515 
 
 47,o 
 
 0,2 
 
 1 84 
 
 0-00248 
 
 + 5,5 
 
 + 0,3 
 
 3-84 
 
 0-08932 
 
 + 59,5 
 
 0,0 
 
 584 
 
 0-13152 
 
 - 25,0 
 
 -0,2 
 
 784 
 
 0-02331 
 
 - 45,o 
 
 + 0,2 
 
 88 
 
 273 
 
 7,3 
 
 ,4 
 
 88 
 
 9170 
 
 58,8 
 
 -0,4 
 
 88 
 
 13048 
 
 z6,8 
 
 o,' 
 
 88 
 
 2155 
 
 43,3 
 
 0,1 
 
 92 
 
 306 
 
 9,3 
 
 ,4 
 
 92 
 
 9402 
 
 57,8 
 
 0,1 
 
 92 
 
 12937 
 
 29,0 
 
 0,2 
 
 92 
 
 1985 
 
 4',5 
 
 0,2 
 
 96 
 
 347 
 
 11,0 
 
 ,3 
 
 96 
 
 9632 
 
 57,o 
 
 0,2 
 
 96 
 
 12817 
 
 30,8 
 
 o,' 
 
 96 
 
 1823 
 
 39,5 
 
 0,2 
 
 200 
 
 0-00396 
 
 + 12,8 
 
 + 0,4 
 
 400 
 
 0-09857 
 
 + 55,8 
 
 -0,1 
 
 6 00 
 
 0-12690 
 
 - 33,o 
 
 -0,2 
 
 800 
 
 0-01669 
 
 - 37,5 
 
 + 0,2 
 
 Applied Constant : +o''ojoao. 
 171 
 
SATELLITE III 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XV Equations of Longitude 
 
 XVI 
 
 I 
 
 2 
 
 3 
 
 4 
 
 i 
 
 2 
 
 3 
 
 4 
 
 i 
 
 2 
 
 3 
 
 4 
 
 B 
 
 Equa- 
 tion 
 
 A 
 
 JA 2 
 
 B 
 
 Equa- 
 tion 
 
 A 
 
 |A2 
 
 B 
 
 Equa- 
 tion 
 
 A 
 
 A' 
 
 d 
 00 
 
 
 
 O'OZOOO 
 
 + 148 
 
 o 
 
 d 
 
 5-0 
 
 o 
 
 0-00430 
 
 + 64 
 
 + 7 
 
 d 
 
 100 
 
 o 
 
 0-01654 
 
 - 136 
 
 + 3 
 
 1 
 
 2148 
 
 '47 
 
 - i 
 
 1 
 
 501 
 
 77 
 
 6 
 
 1 
 
 1521 
 
 130 
 
 3 
 
 2 
 
 2293 
 
 '43 
 
 2 
 
 2 
 
 584 
 
 89 
 
 6 
 
 2 
 
 '394 
 
 123 
 
 4 
 
 3 
 
 H34 
 
 138 
 
 3 
 
 3 
 
 679 
 
 101 
 
 6 
 
 3 
 
 1275 
 
 "5 
 
 5 
 
 4 
 
 2569 
 
 '31 
 
 4 
 
 4 
 
 785 
 
 in 
 
 5 
 
 4 
 
 1 165 
 
 105 
 
 5 
 
 5 
 
 2696 
 
 123 
 
 5 
 
 5 
 
 901 
 
 121 
 
 5 
 
 5 
 
 1065 
 
 94 
 
 6 
 
 06 
 
 0-02814 
 
 + 112 
 
 - 6 
 
 56 
 
 0-01026 
 
 + 129 
 
 + 4 
 
 106 
 
 0-00977 
 
 - 82 
 
 + 6 
 
 7 
 
 2920 
 
 IOO 
 
 6 
 
 7 
 
 1159 
 
 137 
 
 4 
 
 7 
 
 901 
 
 70 
 
 7 
 
 8 
 
 30H 
 
 87 
 
 7 
 
 8 
 
 1299 
 
 H3 
 
 3 
 
 8 
 
 838 
 
 56 
 
 7 
 
 9 
 
 3094 
 
 73 
 
 7 
 
 9 
 
 1445 
 
 148 
 
 2 
 
 9 
 
 789 
 
 4' 
 
 8 
 
 10 
 
 3160 
 
 58 
 
 8 
 
 60 
 
 1595 
 
 152 
 
 2 
 
 11-O 
 
 756 
 
 26 
 
 8 
 
 1-1 
 
 0-03210 
 
 + 42 
 
 - 8 
 
 6-1 
 
 0-01748 
 
 + '54 
 
 + I 
 
 111 
 
 0-00738 
 
 - 10 
 
 + 8 
 
 2 
 
 3244 
 
 26 
 
 8 
 
 2 
 
 1903 
 
 , 5 6 
 
 + I 
 
 2 
 
 736 
 
 + 7 
 
 9 
 
 3 
 
 3262 
 
 + 10 
 
 8 
 
 3 
 
 2060 
 
 '57 
 
 - 1 
 
 3 
 
 75' 
 
 23 
 
 8 
 
 4 
 
 3264 
 
 - 7 
 
 9 
 
 4 
 
 2216 
 
 '55 
 
 I 
 
 4 
 
 781 
 
 38 
 
 8 
 
 5 
 
 3249 
 
 *3 
 
 8 
 
 5 
 
 2370 
 
 '53 
 
 2 
 
 5 
 
 827 
 
 54 
 
 8 
 
 1-6 
 
 0-03219 
 
 - 38 
 
 - 8 
 
 66 
 
 0-02521 
 
 + '49 
 
 - 2 
 
 11-6 
 
 0-00889 
 
 + 7 
 
 + 8 
 
 7 
 
 3'74 
 
 52 
 
 7 
 
 7 
 
 2668 
 
 144 
 
 3 
 
 7 
 
 966 
 
 84 
 
 7 
 
 8 
 
 3"5 
 
 66 
 
 7 
 
 8 
 
 2809 
 
 138 
 
 4 
 
 8 
 
 1057 
 
 97 
 
 6 
 
 9 
 
 3042 
 
 80 
 
 7 
 
 9 
 
 2943 
 
 '3' 
 
 4 
 
 9 
 
 1160 
 
 109 
 
 6 
 
 20 
 
 2956 
 
 92 
 
 6 
 
 7O 
 
 3070 
 
 123 
 
 4 
 
 12 O 
 
 1275 
 
 I2O 
 
 5 
 
 2-1 
 
 0-02859 
 
 - 103 
 
 - 6 
 
 7-1 
 
 0-03189 
 
 + 114 
 
 - 5 
 
 12-1 
 
 0-01400 
 
 + 130 
 
 + 5 
 
 2 
 
 2751 
 
 113 
 
 5 
 
 2 
 
 3297 
 
 103 
 
 6 
 
 2 
 
 '534 
 
 '37 
 
 3 
 
 3 
 
 2634 
 
 121 
 
 4 
 
 3 
 
 3394 
 
 92 
 
 6 
 
 3 
 
 1674 
 
 '43 
 
 3 
 
 4 
 
 2509 
 
 12 9 
 
 3 
 
 4 
 
 3480 
 
 80 
 
 6 
 
 4 
 
 1819 
 
 146 
 
 + i 
 
 B 
 
 2377 
 
 135 
 
 3 
 
 5 
 
 3554 
 
 68 
 
 7 
 
 5 
 
 1966 
 
 '47 
 
 o 
 
 26 
 
 0-02240 
 
 - '39 
 
 2 
 
 7-6 
 
 0-03615 
 
 + 54 
 
 - 7 
 
 126 
 
 0*021 13 
 
 + '47 
 
 - i 
 
 7 
 
 2099 
 
 '43 
 
 2 
 
 7 
 
 3662 
 
 4' 
 
 7 
 
 7 
 
 2259 
 
 '45 
 
 2 
 
 8 
 
 '955 
 
 45 
 
 - I 
 
 8 
 
 3696 
 
 27 
 
 8 
 
 8 
 
 2402 
 
 140 
 
 3 
 
 9 
 
 1809 
 
 146 
 
 O 
 
 9 
 
 37>5 
 
 + 12 
 
 7 
 
 9 
 
 2539 
 
 '33 
 
 4 
 
 30 
 
 1663 
 
 '45 
 
 + I 
 
 80 
 
 3720 
 
 2 
 
 7 
 
 13 O 
 
 2668 
 
 125 
 
 5 
 
 31 
 
 0-01519 
 
 - '43 
 
 + I 
 
 81 
 
 0-03711 
 
 - 16 
 
 - 7 
 
 131 
 
 0-02788 
 
 + "5 
 
 - 6 
 
 2 
 
 1377 
 
 140 
 
 2 
 
 2 
 
 3688 
 
 30 
 
 7 
 
 2 
 
 2897 
 
 103 
 
 6 
 
 3 
 
 1239 
 
 135 
 
 3 
 
 3 
 
 365" 
 
 44 
 
 7 
 
 3 
 
 2994 
 
 90 
 
 7 
 
 4 
 
 1107 
 
 130 
 
 3 
 
 4 
 
 3600 
 
 58 
 
 7 
 
 4 
 
 377 
 
 76 
 
 7 
 
 5 
 
 980 
 
 123 
 
 4 
 
 5 
 
 3536 
 
 70 
 
 6 
 
 5 
 
 3'46 
 
 61 
 
 8 
 
 36 
 
 0-00861 
 
 - U5 
 
 + 5 
 
 86 
 
 0-03460 
 
 - 82 
 
 - 6 
 
 136 
 
 0-03199 
 
 + 4 6 
 
 - 8 
 
 7 
 
 75i 
 
 106 
 
 5 
 
 7 
 
 3372 
 
 94 
 
 6 
 
 7 
 
 3237 
 
 3 
 
 8 
 
 8 
 
 650 
 
 96 
 
 6 
 
 8 
 
 3273 
 
 104 
 
 5 
 
 8 
 
 3259 
 
 + 14 
 
 9 
 
 9 
 
 560 
 
 85 
 
 6 
 
 9 
 
 3165 
 
 "3 
 
 5 
 
 9 
 
 3264 
 
 - 3 
 
 8 
 
 40 
 
 481 
 
 73 
 
 7 
 
 90 
 
 3048 
 
 121 
 
 4 
 
 14 O 
 
 3254 
 
 18 
 
 8 
 
 41 
 
 0-00414 
 
 - 61 
 
 + 7 
 
 91 
 
 0-02923 
 
 - 128 
 
 - 3 
 
 141 
 
 0-03228 
 
 - 34 
 
 - 8 
 
 2 
 
 360 
 
 47 
 
 7 
 
 2 
 
 2792 
 
 '34 
 
 3 
 
 2 
 
 3186 
 
 49 
 
 7 
 
 3 
 
 320 
 
 34 
 
 7 
 
 3 
 
 2655 
 
 '39 
 
 2 
 
 3 
 
 3130 
 
 63 
 
 7 
 
 4 
 
 293 
 
 20 
 
 8 
 
 4 
 
 2514 
 
 '43 
 
 2 
 
 4 
 
 3060 
 
 77 
 
 7 
 
 6 
 
 281 
 
 - 6 
 
 7 
 
 5 
 
 2370 
 
 '45 
 
 I 
 
 5 
 
 2977 
 
 89 
 
 6 
 
 46 
 
 0-00282 
 
 + 9 
 
 + 8 
 
 9-6 
 
 0-02225 
 
 - 146 
 
 - I 
 
 14-6 
 
 0-02882 
 
 - IOO 
 
 - 5 
 
 7 
 
 298 
 
 2 4 
 
 8 
 
 7 
 
 2079 
 
 '45 
 
 + I 
 
 7 
 
 2777 
 
 no 
 
 5 
 
 8 
 
 3*9 
 
 38 
 
 7 
 
 8 
 
 '935 
 
 '43 
 
 I 
 
 8 
 
 2662 
 
 119 
 
 4 
 
 9 
 
 373 
 
 5i 
 
 7 
 
 9 
 
 '793 
 
 141 
 
 2 
 
 9 
 
 2539 
 
 127 
 
 4 
 
 5-0 
 
 0-00430 
 
 + 64 
 
 + 7 
 
 IOO 
 
 0-01654 
 
 - '36 
 
 + 3 
 
 150 
 
 0-02408 
 
 - '35 
 
 - 4 
 
 i 
 
 2 
 
 c 
 
 Equa- 
 tion 
 
 d 
 00 
 
 o 
 
 0-00050 
 
 2 
 
 45 
 
 4 
 
 40 
 
 6 
 
 35 
 
 8 
 
 3' 
 
 10 
 
 27 
 
 1-2 
 
 0-00024 
 
 4 
 
 22 
 
 6 
 
 2O 
 
 8 
 
 2O 
 
 20 
 
 21 
 
 22 
 
 O-OOO22 
 
 4 
 
 24 
 
 6 
 
 27 
 
 8 
 
 3' 
 
 30 
 
 35 
 
 32 
 
 0-00040 
 
 4 
 
 45 
 
 6 
 
 5' 
 
 8 
 
 56 
 
 40 
 
 61 
 
 4-2 
 
 0-00066 
 
 4 
 
 70 
 
 6 
 
 73 
 
 8 
 
 76 
 
 50 
 
 79 
 
 52 
 
 0-00080 
 
 4 
 
 80 
 
 6 
 
 79 
 
 8 
 
 78 
 
 60 
 
 76 
 
 62 
 
 0-00072 
 
 4 
 
 68 
 
 6 
 
 64 
 
 8 
 
 59 
 
 70 
 
 54 
 
 7-2 
 
 0-00049 
 
 4 
 
 44 
 
 6 
 
 39 
 
 8 
 
 34 
 
 80 
 
 3 
 
 82 
 
 0-00026 
 
 4 
 
 23 
 
 6 
 
 21 
 
 8 
 
 2O 
 
 90 
 
 2O 
 
 92 
 
 O-OOO2I 
 
 4 
 
 22 
 
 6 
 
 25 
 
 8 
 
 28 
 
 IOO 
 
 O-OOO32 
 
 Applied Constant : +o''o2ooo. 
 
 Constant : +o'-ooo5<>. 
 
 172 
 
XVII 
 
 SATELLITE III 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 Equation of Longitude Argument D 
 
 , 
 
 1 
 
 3 
 
 I 
 
 2 
 
 3 
 
 I 
 
 2 
 
 3 
 
 I 2 
 
 3 
 
 D 
 
 Equation 
 
 A 
 O d 'OI 
 
 D 
 
 Equation 
 
 A 
 
 o d -oi 
 
 D 
 
 Equation 
 
 A 
 
 eft -01 
 
 D 
 
 Equation 
 
 A 
 Cft '01 
 
 a 
 
 000 
 
 
 
 O'ZOOOO 
 
 + '53 
 
 d 
 1 00 
 
 
 C'33393 
 
 + 98 
 
 d 
 20O 
 
 o 
 
 0^37080 
 
 ~ 29 
 
 d 
 3-OO 
 
 o 
 
 0-28433 - 
 
 - '33 
 
 02 
 
 20306 
 
 '53 
 
 02 
 
 33587 
 
 96 
 
 02 
 
 37020 
 
 3' 
 
 02 
 
 28165 
 
 '35 
 
 04 
 
 20612 
 
 'S3 
 
 04 
 
 '33775 
 
 93 
 
 04 
 
 36955 
 
 34 
 
 04 
 
 47894 
 
 136 
 
 06 
 
 20918 
 
 153 
 
 06 
 
 '33959 
 
 9 1 
 
 06 
 
 36885 
 
 36 
 
 06 
 
 47621 
 
 137 
 
 OS 
 
 21222 
 
 152 
 
 OS 
 
 '34 J 39 
 
 89 
 
 08 
 
 36810 
 
 39 
 
 08 
 
 27346 
 
 138 
 
 10 
 
 21528 
 
 '53 
 
 1O 
 
 34315 
 
 87 
 
 10 
 
 36729 
 
 42 
 
 1O 
 
 27068 
 
 139 
 
 012 
 
 O'2i833 
 
 + 152 
 
 112 
 
 0-34487 
 
 + 85 
 
 212 
 
 0-36644 
 
 - 44 
 
 3-12 
 
 0-26789 
 
 - 140 
 
 14 
 
 22136 
 
 152 
 
 14 
 
 34 6 53 
 
 82 
 
 14 
 
 36553 
 
 47 
 
 14 
 
 26507 
 
 141 
 
 16 
 
 22439 
 
 IS' 
 
 16 
 
 34815 
 
 80 
 
 16 
 
 36458 
 
 49 
 
 16 
 
 46224 
 
 142 
 
 18 
 
 22741 
 
 '5' 
 
 18 
 
 '34973 
 
 78 
 
 18 
 
 36358 
 
 52 
 
 18 
 
 25938 
 
 '44 
 
 2O 
 
 23043 
 
 151 
 
 2O 
 
 35126 
 
 75 
 
 20 
 
 36251 
 
 55 
 
 2O 
 
 15650 
 
 >44 
 
 22 
 
 0-23344 
 
 + 150 
 
 1-22 
 
 0-35474 
 
 + 73 
 
 222 
 
 0-36140 
 
 - 57 
 
 3-22 
 
 0-45364 
 
 45 
 
 24 
 
 23644 
 
 150 
 
 24 
 
 35418 
 
 7' 
 
 24 
 
 36025 
 
 S 9 
 
 24 
 
 25071 
 
 146 
 
 26 
 
 23943 
 
 '49 
 
 26 
 
 '35557 
 
 68 
 
 26 
 
 3594 
 
 64 
 
 26 
 
 24779 
 
 146 
 
 28 
 
 24239 
 
 148 
 
 28 
 
 35690 
 
 66 
 
 28 
 
 35778 
 
 64 
 
 28 
 
 24485 
 
 H7 
 
 3O 
 
 24536 
 
 I 4 
 
 30 
 
 35820 
 
 63 
 
 30 
 
 35648 
 
 67 
 
 30 
 
 24190 
 
 148 
 
 32 
 
 0-24830 
 
 + '47 
 
 1 32 
 
 '35943 
 
 + 61 
 
 232 
 
 0-35512 
 
 - 69 
 
 332 
 
 0-23893 
 
 - '49 
 
 34 
 
 25123 
 
 146 
 
 34 
 
 36063 
 
 59 
 
 34 
 
 '35373 
 
 7i 
 
 34 
 
 23596 
 
 '49 
 
 36 
 
 25414 
 
 "45 
 
 36 
 
 36177 
 
 56 
 
 36 
 
 35228 
 
 73 
 
 36 
 
 23298 
 
 150 
 
 38 
 
 25704 
 
 '45 
 
 38 
 
 36286 
 
 54 
 
 38 
 
 35080 
 
 76 
 
 38 
 
 44998 
 
 150 
 
 40 
 
 25992 
 
 144 
 
 4O 
 
 3639' 
 
 5' 
 
 40 
 
 34926 
 
 78 
 
 4O 
 
 42697 
 
 >5i 
 
 O-42 
 
 '26278 
 
 + '43 
 
 1-42 
 
 0-36489 
 
 + 48 
 
 2-42 
 
 0-34768 
 
 - 80 
 
 3-42 
 
 0-22395 
 
 - '5' 
 
 44 
 
 26562 
 
 142 
 
 44 
 
 36584 
 
 46 
 
 44 
 
 34605 
 
 83 
 
 44 
 
 22093 
 
 >5' 
 
 46 
 
 26844 
 
 141 
 
 46 
 
 36672 
 
 43 
 
 46 
 
 34437 
 
 85 
 
 46 
 
 21790 
 
 152 
 
 48 
 
 27125 
 
 140 
 
 48 
 
 36757 
 
 4' 
 
 48 
 
 34265 
 
 87 
 
 48 
 
 21487 
 
 152 
 
 50 
 
 27402 
 
 138 
 
 50 
 
 36835 
 
 38 
 
 50 
 
 34088 
 
 89 
 
 5O 
 
 21184 
 
 154 
 
 052 
 
 0-27678 
 
 + 137 
 
 1 52 
 
 0-36909 
 
 + 36 
 
 2-52 
 
 0-33908 
 
 - 92 
 
 3-52 
 
 0-20879 
 
 - 15* 
 
 54 
 
 27951 
 
 '36 
 
 54 
 
 36977 
 
 33 
 
 54 
 
 33724 
 
 94 
 
 54 
 
 20575 
 
 154 
 
 56 
 
 48222 
 
 '35 
 
 56 
 
 37040 
 
 30 
 
 56 
 
 '33533 
 
 96 
 
 56 
 
 20270 
 
 '53 
 
 58 
 
 48490 
 
 '33 
 
 58 
 
 37098 
 
 48 
 
 58 
 
 '33339 
 
 98 
 
 58 
 
 19965 
 
 154 
 
 6O 
 
 28756 
 
 132 
 
 60 
 
 - 37'5' 
 
 25 
 
 60 
 
 33H2 
 
 IOO 
 
 6O 
 
 19661 
 
 IS* 
 
 62 
 
 0-29018 
 
 + 131 
 
 1 62 
 
 0-37197 
 
 + 22 
 
 2-62 
 
 0-32940 
 
 - IO4 
 
 362 
 
 0-19356 
 
 - 152 
 
 64 
 
 29278 
 
 130 
 
 64 
 
 37239 
 
 20 
 
 64 
 
 32735 
 
 104 
 
 64 
 
 19052 
 
 154 
 
 66 
 
 29536 
 
 128 
 
 66 
 
 37276 
 
 '7 
 
 66 
 
 32525 
 
 1 06 
 
 66 
 
 18747 
 
 15* 
 
 68 
 
 29789 
 
 146 
 
 68 
 
 3737 
 
 '5 
 
 68 
 
 3231* 
 
 I 08 
 
 68 
 
 18444 
 
 154 
 
 7O 
 
 30040 
 
 '25 
 
 70 
 
 '37334 
 
 12 
 
 70 
 
 32095 
 
 no 
 
 70 
 
 18141 
 
 151 
 
 72 
 
 0-30288 
 
 + 123 
 
 1 72 
 
 '37354 
 
 + 9 
 
 2-72 
 
 0-31874 
 
 - in 
 
 372 
 
 0-17838 
 
 - '5i 
 
 74 
 
 '3533 
 
 122 
 
 74 
 
 37370 
 
 6 
 
 74 
 
 31650 
 
 "3 
 
 74 
 
 17536 
 
 151 
 
 76 
 
 - 3775 
 
 I2O 
 
 76 
 
 '37379 
 
 3 
 
 76 
 
 31421 
 
 "5 
 
 76 
 
 17234 
 
 151 
 
 78 
 
 31013 
 
 118 
 
 78 
 
 37383 
 
 + i 
 
 78 
 
 31190 
 
 "7 
 
 78 
 
 16934 
 
 150 
 
 8O 
 
 31248 
 
 117 
 
 so 
 
 37383 
 
 2 
 
 so 
 
 30955 
 
 118 
 
 80 
 
 16634 
 
 150 
 
 O82 
 84 
 
 0-31479 
 
 31707 
 
 + 115 
 
 "3 
 
 1-82 
 84 
 
 0-37377 
 37365 
 
 4 
 
 7 
 
 282 
 84 
 
 0-30717 
 30475 
 
 - I4O 
 122 
 
 382 
 84 
 
 0-16336 
 16039 
 
 - '49 
 148 
 
 Q 
 
 86 
 
 31931 
 
 i ii 
 
 86 
 
 37348 
 
 10 
 
 86 
 
 30230 
 
 143 
 
 86 
 
 '5743 
 
 148 
 
 88 
 
 32151 
 
 109 
 
 88 
 
 37325 
 
 '3 
 
 88 
 
 49982 
 
 125 
 
 88 
 
 15448 
 
 '47 
 
 f 
 
 90 
 
 32368 
 
 1 08 
 
 90 
 
 37298 
 
 '5 
 
 90 
 
 29731 
 
 127 
 
 9O 
 
 15154 
 
 140 
 
 Q-92 
 
 0-32581 
 
 + 106 
 
 1 92 
 
 0-37265 
 
 - 18 
 
 292 
 
 0^29476 
 
 - 128 
 
 392 
 
 0-14863 
 
 - 146 
 
 94 
 96 
 
 32790 
 32995 
 
 104 
 
 IO2 
 
 94 
 96 
 
 37427 
 37183 
 
 21 
 
 23 
 
 94 
 96 
 
 29220 
 48960 
 
 I2 9 
 IS' 
 
 94 
 96 
 
 14572 
 14284 
 
 '45 
 '44 
 
 98 
 
 3 "3 
 33196 
 
 IOO 
 
 98 
 
 '37'34 
 
 26 
 
 98 
 
 28697 
 
 134 
 
 98 
 
 13997 
 
 '43 
 
 1 00 
 
 Q'33393 
 
 + 98 
 
 200 
 
 0-37080 
 
 - 2 9 
 
 300 
 
 0-48433 
 
 - 133 
 
 4-OO 
 
 0-13711 
 
 - 142 
 
 Applied Constant : +0 zoooo. 
 '73 
 
SATELLITE III 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XVII continued 
 
 Equation of Longitude 
 
 Argument D 
 
 I 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 D 
 
 Equation 
 
 A 
 O<1-OI 
 
 D 
 
 Equation 
 
 A 
 O d 'OI 
 
 D 
 
 Equation 
 
 A 
 Od'OI 
 
 D 
 
 Equation 
 
 A 
 O d 'OI 
 
 d 
 
 400 
 
 
 
 0-13711 
 
 142 
 
 d 
 500 
 
 o 
 
 0-03520 
 
 - 49 
 
 d 
 800 
 
 o 
 
 0-05222 
 
 + 81 
 
 d 
 
 7-OO 
 
 o 
 
 0-17628 
 
 + 152 
 
 02 
 
 13428 
 
 I 4 I 
 
 02 
 
 3425 
 
 46 
 
 02 
 
 5386 
 
 83 
 
 02 
 
 17932 
 
 152 
 
 04 
 
 13147 
 
 I 4 
 
 O4 
 
 3335 
 
 44 
 
 04 
 
 5553 
 
 85 
 
 04 
 
 18235 
 
 152 
 
 O6 
 
 12869 
 
 139 
 
 06 
 
 3*5' 
 
 4' 
 
 06 
 
 5725 
 
 87 
 
 O6 
 
 18540 
 
 153 
 
 O8 
 
 12592 
 
 '38 
 
 08 
 
 3172 
 
 38 
 
 08 
 
 5902 
 
 89 
 
 O8 
 
 18846 
 
 >53 
 
 1O 
 
 12318 
 
 137 
 
 1O 
 
 3099 
 
 36 
 
 10 
 
 6083 
 
 9' 
 
 10 
 
 19151 
 
 '53 
 
 4-12 
 
 0-12045 
 
 - 136 
 
 5-12 
 
 0-03030 
 
 33 
 
 612 
 
 0-06267 
 
 + 93 
 
 7-12 
 
 0-19457 
 
 + '53 
 
 14 
 
 11775 
 
 '34 
 
 14 
 
 2967 
 
 3i 
 
 14 
 
 6456 
 
 96 
 
 14 
 
 19762 
 
 '53 
 
 16 
 
 11509 
 
 133 
 
 16 
 
 2908 
 
 28 
 
 16 
 
 6649 
 
 98 
 
 16 
 
 20068 
 
 '53 
 
 18 
 
 11244 
 
 132 
 
 18 
 
 2856 
 
 25 
 
 18 
 
 6847 
 
 100 
 
 18 
 
 20374 
 
 'S3 
 
 2O 
 
 10981 
 
 131 
 
 2O 
 
 2807 
 
 23 
 
 20 
 
 7049 
 
 102 
 
 20 
 
 20680 
 
 '53 
 
 422 
 
 0^10722 
 
 - 129 
 
 522 
 
 0-02764 
 
 - 20 
 
 622 
 
 0-07255 
 
 + 104 
 
 722 
 
 0-20986 
 
 + '53 
 
 24 
 
 10466 
 
 127 
 
 24 
 
 2728 
 
 17 
 
 24 
 
 7465 
 
 I 06 
 
 24 
 
 21290 
 
 152 
 
 26 
 
 10213 
 
 126 
 
 26 
 
 2696 
 
 15 
 
 26 
 
 7679 
 
 108 
 
 26 
 
 21596 
 
 '53 
 
 28 
 
 9962 
 
 125 
 
 28 
 
 2670 
 
 12 
 
 28 
 
 7897 
 
 no 
 
 28 
 
 21900 
 
 152 
 
 3O 
 
 9715 
 
 123 
 
 30 
 
 2648 
 
 9 
 
 30 
 
 8118 
 
 I 12 
 
 30 
 
 22204 
 
 152 
 
 4-32 
 
 0^09470 
 
 - IZl 
 
 5-32 
 
 0*02633 
 
 7 
 
 632 
 
 0-08343 
 
 + U3 
 
 732 
 
 0-22507 
 
 + 151 
 
 34 
 
 9230 
 
 120 
 
 34 
 
 2622 
 
 4 
 
 34 
 
 8571 
 
 "5 
 
 34 
 
 22809 
 
 IS' 
 
 36 
 
 8992 
 
 III 
 
 36 
 
 2617 
 
 _ T 
 
 36 
 
 8803 
 
 117 
 
 36 
 
 2311 1 
 
 IS' 
 
 38 
 
 8758 
 
 116 
 
 38 
 
 2618 
 
 + 2 
 
 38 
 
 9039 
 
 119 
 
 38 
 
 23412 
 
 150 
 
 40 
 
 8527 
 
 114 
 
 40 
 
 2623 
 
 4 
 
 40 
 
 9278 
 
 121 
 
 40 
 
 23710 
 
 149 
 
 4-42 
 
 o - o83Oi 
 
 - "3 
 
 542 
 
 0-02634 
 
 + 7 
 
 642 
 
 0-09521 
 
 + 122 
 
 742 
 
 0-24009 
 
 + '49 
 
 44 
 
 8077 
 
 in 
 
 44 
 
 2651 
 
 10 
 
 44 
 
 9766 
 
 123 
 
 44 
 
 24306 
 
 ,48 
 
 46 
 
 7857 
 
 109 
 
 46 
 
 2672 
 
 12 
 
 46 
 
 10014 
 
 125 
 
 46 
 
 24602 
 
 148 
 
 48 
 
 7641 
 
 107 
 
 48 
 
 2700 
 
 15 
 
 48 
 
 10266 
 
 127 
 
 48 
 
 24896 
 
 H7 
 
 so 
 
 7428 
 
 105 
 
 50 
 
 2732 
 
 18 
 
 50 
 
 10520 
 
 128 
 
 so 
 
 25189 
 
 146 
 
 4-52 
 
 0*07220 
 
 103 
 
 552 
 
 0-02770 
 
 + 20 
 
 652 
 
 0-10779 
 
 + 130 
 
 752 
 
 0-25480 
 
 + 145 
 
 54 
 
 7015 
 
 IOI 
 
 54 
 
 2813 
 
 23 
 
 54 
 
 11039 
 
 '3' 
 
 54 
 
 25770 
 
 144 
 
 56 
 
 6815 
 
 99 
 
 56 
 
 2861 
 
 26 
 
 56 
 
 i 1302 
 
 133 
 
 56 
 
 26057 
 
 '43 
 
 58 
 
 6618 
 
 98 
 
 58 
 
 2915 
 
 28 
 
 58 
 
 11569 
 
 '34 
 
 58 
 
 26343 
 
 142 
 
 60 
 
 6425 
 
 96 
 
 60 
 
 2973 
 
 31 
 
 6O 
 
 11838 
 
 '35 
 
 60 
 
 26627 
 
 141 
 
 462 
 
 0-06236 
 
 - 93 
 
 562 
 
 0-03038 
 
 + 34 
 
 662 
 
 0-12109 
 
 + i3 6 
 
 7'62 
 
 0^26908 
 
 + 140 
 
 64 
 
 6052 
 
 9 1 
 
 64 
 
 3107 
 
 36 
 
 64 
 
 12383 
 
 138 
 
 64 
 
 27188 
 
 139 
 
 66 
 
 5873 
 
 89 
 
 66 
 
 3182 
 
 39 
 
 66 
 
 12659 
 
 139 
 
 66 
 
 27465 
 
 '38 
 
 68 
 
 5697 
 
 87 
 
 68 
 
 3262 
 
 4 1 
 
 68 
 
 12937 
 
 140 
 
 68 
 
 27741 
 
 '37 
 
 7O 
 
 5526 
 
 85 
 
 7O 
 
 3347 
 
 44 
 
 7O 
 
 13218 
 
 141 
 
 70 
 
 28013 
 
 136 
 
 472 
 
 0-05359 
 
 - 82 
 
 572 
 
 0-03437 
 
 + 47 
 
 672 
 
 0-13500 
 
 + 142 
 
 772 
 
 0-28283 
 
 + '35 
 
 74 
 
 5'97 
 
 80 
 
 74 
 
 3533 
 
 49 
 
 74 
 
 13785 
 
 '43 
 
 74 
 
 28551 
 
 '33 
 
 76 
 
 5040 
 
 78 
 
 76 
 
 3633 
 
 5 2 
 
 76 
 
 14072 
 
 144 
 
 76 
 
 28816 
 
 132 
 
 78 
 
 4887 
 
 76 
 
 78 
 
 3739 
 
 54 
 
 78 
 
 14360 
 
 H5 
 
 78 
 
 29078 
 
 130 
 
 80 
 
 4738 
 
 73 
 
 80 
 
 3849 
 
 57 
 
 30 
 
 14650 
 
 146 
 
 80 
 
 29337 
 
 129 
 
 482 
 
 0-04595 
 
 - 7i 
 
 582 
 
 0-03965 
 
 + 59 
 
 682 
 
 0-14042 
 
 + H7 
 
 7-82 
 
 0-29595 
 
 + 128 
 
 84 
 
 4456 
 
 69 
 
 84 
 
 4085 
 
 61 
 
 84 
 
 f 
 15236 
 
 H7 
 
 84 
 
 29847 
 
 126 
 
 86 
 
 4321 
 
 66 
 
 86 
 
 4210 
 
 64 
 
 86 
 
 15530 
 
 148 
 
 86 
 
 30098 
 
 125 
 
 88 
 
 4192 
 
 64 
 
 88 
 
 434 1 
 
 66 
 
 88 
 
 15826 
 
 149 
 
 88 
 
 30345 
 
 123 
 
 9O 
 
 4067 
 
 61 
 
 90 
 
 4475 
 
 69 
 
 90 
 
 16124 
 
 149 
 
 90 
 
 30589 
 
 121 
 
 4-92 
 
 0^03948 
 
 - 58 
 
 5-92 
 
 0-0461 5 
 
 + 7 
 
 692 
 
 0-16423 
 
 + 150 
 
 792 
 
 0-30830 
 
 + 120 
 
 94 
 
 3834 
 
 56 
 
 94 
 
 4760 
 
 74 
 
 94 
 
 16723 
 
 150 
 
 94 
 
 31068 
 
 118 
 
 96 
 
 3724 
 
 54 
 
 96 
 
 4909 
 
 76 
 
 96 
 
 17024 
 
 '5i 
 
 96 
 
 31302 
 
 116 
 
 98 
 
 3619 
 
 5i 
 
 98 
 
 5063 
 
 78 
 
 98 
 
 17326 
 
 IS' 
 
 98 
 
 31532 
 
 114 
 
 5-OO 
 
 0^03520 
 
 - 49 
 
 600 
 
 0-05222 
 
 + 81 
 
 700 
 
 0-17628 
 
 + 152 
 
 800 
 
 0-31758 
 
 + 112 
 
 Applied Constant : +o'-2oooo. 
 174 
 
SATELLITE III 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XVIII Equation of Longitude Argument E 
 
 I 
 
 2 
 
 3 
 
 4 
 
 i 
 
 2 
 
 3 
 
 4 
 
 I 
 
 2 
 
 3 
 
 4 
 
 i 
 
 2 
 
 3 
 
 4 
 
 E 
 
 Equa- 
 
 A 
 
 JA2 
 
 E 
 
 Equa 
 
 A 
 
 A2 
 
 
 Equa- 
 
 A 
 
 A 
 
 
 Equa- 
 
 A 
 
 
 
 tion 
 
 0*0, 
 
 
 
 tion 
 
 O d 'OI 
 
 
 
 tion 
 
 o d -oi 
 
 
 
 tion 
 
 O d 'OI 
 
 i* 
 
 d 
 
 ooo 
 
 o 
 
 o'oSooo 
 
 + 64,8 
 
 0,0 
 
 d 
 
 200 
 
 o 
 
 0-15250 
 
 -12,2 
 
 -0,3 
 
 d 
 400 
 
 o 
 
 0-05327 
 
 -60,4 
 
 + 0,1 
 
 d 
 6 00 
 
 o 
 
 0-01734 
 
 + 34,3 
 
 + 0,3 
 
 O4 
 
 8259 
 
 64,6 
 
 0,0 
 
 04 
 
 15198 
 
 I 4 ,I 
 
 o,3 
 
 04 
 
 5087 
 
 59>4 
 
 0,1 
 
 04 
 
 1874 
 
 36,0 
 
 0,2 
 
 O8 8517 
 
 64,6 
 
 0,0 
 
 08 
 
 15137 
 
 16,5 
 
 0,4 
 
 08 
 
 4852 
 
 58,4 
 
 0,1 
 
 08 
 
 2O22 
 
 37,6 
 
 
 12 8777 
 
 64>5 
 
 -0,1 
 
 12 
 
 15066 
 
 1 8,6 
 
 o,3 
 
 12 
 
 4619 
 
 57,5 
 
 0,1 
 
 12 
 
 2178 
 
 39,9 
 
 o, 1 
 
 16 9033 
 
 64,1 
 
 0,0 
 
 16 
 
 14988 
 
 20,9 
 
 o,3 
 
 16 
 
 4392 
 
 56,5 
 
 0,1 
 
 16 
 
 2341 
 
 
 ,2 
 
 20 
 
 9290 
 
 64,0 
 
 0,0 
 
 20 
 
 14899 
 
 23,1 
 
 ,3 
 
 20 
 
 4167 
 
 55,5 
 
 0,1 
 
 20 
 
 2 5 II 
 
 43^5 
 
 0,1 
 
 0-24 
 
 0-09545 
 
 + 63,4 
 
 -0,1 
 
 2-24 
 
 0-14803 
 
 -25, 
 
 -0,3 
 
 4'24 
 
 0-03948 
 
 -54>i 
 
 + 0,2 
 
 624 
 
 0-02689 
 
 + 45,o 
 
 + 0,2 
 
 28 
 
 9797 
 
 63,0 
 
 0,1 
 
 28 
 
 14698 
 
 27, 
 
 o,3 
 
 28 
 
 3734 
 
 52,8 
 
 0,1 
 
 28 
 
 2871 
 
 46,5 
 
 0,2 
 
 32 
 
 10049 
 
 62,4 
 
 0,1 
 
 32 
 
 14586 29, 
 
 o,3 
 
 32 
 
 3526 
 
 5', 5 
 
 0,1 
 
 32 
 
 3061 
 
 48,1 
 
 
 36 
 
 10296 
 
 6l,5 
 
 0,1 
 
 36 
 
 14465 31, 
 
 o,3 
 
 36 
 
 3322 
 
 50,0 
 
 0,2 
 
 36 
 
 3256 
 
 49,5 
 
 0,2 
 
 4O 
 
 10541 60,8 
 
 0,1 
 
 40 
 
 ''4337 33, 
 
 o,3 
 
 40 
 
 3126 
 
 48,5 
 
 0,2 
 
 40 
 
 3457 
 
 
 0,2 
 
 O-44 
 
 0-10782 +59,9 
 
 -0,1 
 
 244 
 
 0-14200 -35,1 
 
 -0,3 
 
 4-44 
 
 0-02934 
 
 -47,1 
 
 + 0,3 
 
 6-44 
 
 0-03665 
 
 + 52,5 
 
 + 0,1 
 
 48 | '11020 59,0 
 
 0,1 
 
 48 
 
 14056 
 
 37,o 
 
 o,3 
 
 48 
 
 2749 
 
 45,5 
 
 0,2 
 
 48 
 
 3877 
 
 53,8 
 
 0,1 
 
 52 -11254 58,3 
 
 0,1 
 
 52 
 
 13904 
 
 38,9 
 
 0,2 
 
 52 
 
 2570 
 
 43,9 
 
 0,2 
 
 52 
 
 4095 
 
 55,o 
 
 0,1 
 
 56 -11486 57,4 
 
 ,' 
 
 56 
 
 -1 3745 
 
 4, 5 
 
 0,2 
 
 56 
 
 2398 
 
 42,0 
 
 0,2 
 
 56 
 
 43'7 
 
 56,1 
 
 0,2 
 
 6O '11713, 56,0 
 
 0,1 
 
 60 
 
 13580 
 
 42,3 
 
 0,1 
 
 60 
 
 2234 
 
 4,4 
 
 0,2 
 
 60 
 
 4544 
 
 57,4 
 
 0,1 
 
 0-64 | 0-11934 [+54,9 
 
 -0,1 
 
 2-64 
 
 0-13407 
 
 -44,o 
 
 -0,2 
 
 4-64 
 
 0-02075 
 
 -38,6 
 
 + 0,2 
 
 664 
 
 0-04776 
 
 + 58,4 
 
 + 0,1 
 
 68 -12152 53,6 
 
 0,2 
 
 68 
 
 13228 
 
 45,6 
 
 0,2 
 
 68 
 
 1925 
 
 36,5 
 
 0,2 
 
 68 
 
 5011 
 
 59,4 
 
 + 0,1 
 
 12363 52,3 
 
 0,1 
 
 72 
 
 13042 
 
 47,4 
 
 0,1 
 
 72 
 
 1783 
 
 34,9 
 
 0,2 
 
 72 
 
 5251 
 
 60, i 
 
 0,0 
 
 76 -12570 50,9 
 
 0,1 
 
 76 
 
 1.2849 
 
 48,9 
 
 0,1 
 
 76 
 
 1646 
 
 33,o 
 
 0,2 
 
 76 
 
 5492 
 
 60,8 
 
 + 0,1 
 
 80 -12770 49,3 
 
 0,1 
 
 80 
 
 12651 
 
 50,3 
 
 0,1 
 
 80 
 
 1519 
 
 31,0 
 
 0,3 
 
 80 
 
 5737 
 
 61,6 
 
 0,0 
 
 084 
 
 0-12964 
 
 + 47,9 
 
 -0,1 
 
 284 
 
 0-12447 
 
 -51,6 
 
 -0,2 
 
 484 
 
 0-01398 
 
 -29,1 
 
 + 0,2 
 
 684 
 
 0-05985 
 
 + 62,5 
 
 + 0,1 
 
 88 
 
 "13153 
 
 4 6 ,5 
 
 0,1 
 
 88 
 
 12238 
 
 53,o 
 
 0,1 
 
 88 
 
 1286 
 
 26,9 
 
 
 88 
 
 6237 
 
 63,1 
 
 0,1 
 
 92 
 
 13335 
 
 44,8 
 
 0,2 
 
 92 
 
 12023 
 
 54,3 
 
 0,1 
 
 92 
 
 1183 
 
 24,6 
 
 o^3 
 
 92 
 
 6490 
 
 63,4 
 
 0,1 
 
 96 
 
 13511 
 
 43,i 
 
 0,2 
 
 96 
 
 11804 
 
 55,5 
 
 0,1 
 
 96 
 
 1089 
 
 22,5 
 
 o,3 
 
 96 
 
 6745 
 
 63,6 
 
 + 0,1 
 
 1 OO 
 
 13680 
 
 4i,4 
 
 0,2 
 
 300 
 
 H579 
 
 56,5 
 
 0,2 
 
 5-00 
 
 1003 
 
 20,5 
 
 o,3 
 
 700 
 
 6999 
 
 63,8 
 
 0,0 
 
 1-O4 
 
 O'i3842 
 
 + 39,6 
 
 -0,2 
 
 304 
 
 0-11352 
 
 -57,6 
 
 -0,1 
 
 5-04 
 
 0-00925 
 
 -i 8,4 
 
 + 0,4 
 
 7-04 
 
 0-07255 
 
 + 64,5 
 
 + 0,1 
 
 OS 
 
 13997 
 
 37,8 
 
 o,3 
 
 08 
 
 i 1118 
 
 58,9 
 
 -0,1 
 
 OS 
 
 856 
 
 16,3 
 
 o,3 
 
 08 
 
 7515 
 
 64,7 
 
 0,0 
 
 12 
 
 14144 
 
 35,9 
 
 0,2 
 
 12 
 
 10881 
 
 59,6 
 
 0,0 
 
 12 
 
 795 
 
 14,0 
 
 o,3 
 
 12 
 
 7773 
 
 64,6 
 
 0,0 
 
 16 
 
 14284 
 
 34,o 
 
 o,3 
 
 16 
 
 10641 
 
 60,3 
 
 -0,1 
 
 16 
 
 744 
 
 11,6 
 
 o,3 
 
 16 
 
 8032 
 
 65,0 
 
 0,0 
 
 2O 
 
 14416 
 
 3i,9 
 
 o,3 
 
 20 
 
 10399 
 
 61,1 
 
 0,1 
 
 20 
 
 702 
 
 9,4 
 
 o,3 
 
 20 
 
 8293 
 
 64,9 
 
 0,0 
 
 1-24 
 
 0-14539 
 
 + 29,9 
 
 -0,3 
 
 3-24 
 
 0-10152 
 
 - 62,0 
 
 -0,1 
 
 524 
 
 0-00669 
 
 - 7,3 
 
 + o,3 
 
 7-24 
 
 0-08551 
 
 + 64,8 
 
 0,0 
 
 28 
 
 14655 
 
 28,1 
 
 o,*3 
 
 28 
 
 9903 
 
 62,5 
 
 0,0 
 
 28 
 
 644 
 
 5,o 
 
 o,3 
 
 28 
 
 8811 
 
 64,5 
 
 0,0 
 
 32 
 
 14764 
 
 26,1 
 
 o,3 
 
 32 
 
 9652 
 
 63,1 
 
 0,0 
 
 32 
 
 629 
 
 2,6 
 
 o,3 
 
 32 
 
 9067 
 
 64,0 
 
 0,0 
 
 36 
 
 14864 
 
 23,6 
 
 o,4 
 
 36 
 
 939 s 
 
 63,5 
 
 0,0 
 
 36 
 
 623 
 
 
 o,3 
 
 36 
 
 9323 
 
 63,9 
 
 0,0 
 
 40 
 
 14953 21,4 
 
 o,3 
 
 40 
 
 9144 
 
 64,0 
 
 0,0 
 
 40 
 
 626 
 
 + ',9 
 
 o,3 
 
 40 
 
 9578 
 
 63,4 
 
 -0,1 
 
 1 44 
 
 0-150351+19,5 
 
 -0,3 
 
 3-44 
 
 0-08886 
 
 -64,5 
 
 0,0 
 
 544 
 
 0-00638 
 
 + 4,i 
 
 + 0,4 
 
 744 
 
 0-09830 
 
 + 62,9 
 
 -0,1 
 
 48 
 
 151091 17,4 
 
 o,3 
 
 48 
 
 8628 
 
 64,4 
 
 0,0 
 
 48 
 
 6 59 
 
 6,6 
 
 o,3 
 
 48 
 
 10081 
 
 62,3 
 
 0,0 
 
 52 
 
 15174 15,1 
 
 o,3 
 
 52 
 
 8371 
 
 64,5 
 
 0,0 
 
 52 
 
 691 
 
 9,o 
 
 0,4 
 
 52 
 
 10328 
 
 6',5 
 
 -0,1 
 
 56 
 
 15230 12,9 
 
 
 56 
 
 8112 
 
 64,6 
 
 0,0 
 
 56 
 
 73i 
 
 11,0 
 
 o,3 
 
 56 
 
 10573 
 
 60,6 
 
 0,1 
 
 6O 
 
 15277 10,6 
 
 o,3 
 
 60 
 
 7854 
 
 64,6 
 
 0,0 
 
 60 
 
 779 
 
 I3,i 
 
 o,3 
 
 60 
 
 10813 
 
 59,8 
 
 0,1 
 
 1-64 
 
 0-15315 
 
 + 7,6 
 
 -o,3 
 
 364 
 
 0-07595 
 
 -6 4 ,6 
 
 0,0 
 
 5-64 
 
 0-00836 
 
 + 15,1 
 
 + 0,3 
 
 764 
 
 o - i 1051 
 
 + 59, 
 
 -0,1 
 
 68 
 
 I534I 
 
 6,0 
 
 ,3 
 
 68 
 
 7337 
 
 64,4 
 
 0,0 
 
 68 
 
 900 
 
 17,3 
 
 o,3 
 
 68 
 
 11285 
 
 58,0 
 
 0,1 
 
 72 
 
 15363 
 
 4,5 
 
 o,3 
 
 72 
 
 7080 
 
 64,3 
 
 0,0 
 
 72 
 
 974 
 
 19,8 
 
 ,4 
 
 72 
 
 11515 
 
 57,o 
 
 0,1 
 
 76 
 
 15374 
 
 + 1,8 
 
 o,3 
 
 76 
 
 6823 
 
 63,9 
 
 + 0,1 
 
 76 
 
 1058 
 
 22,0 
 
 o,3 
 
 76 
 
 11741 
 
 56,0 
 
 0,1 
 
 80 
 
 15377 
 
 - 0,4 
 
 o,3 
 
 80 
 
 6569 
 
 63,5 
 
 0,0 
 
 so 
 
 1150 
 
 24,0 
 
 o,3 
 
 so 
 
 11963 
 
 54,8 
 
 0,1 
 
 184 
 
 0-15371 L 2,8 
 
 -o,4 
 
 3'84 10*06315 
 
 -63,0 
 
 0,0 
 
 5-84 
 
 0-01250 
 
 + 26,1 
 
 + 0,3 
 
 784 
 
 0-12179 
 
 + 53,5 
 
 -0,1 
 
 88 i -15355 5,4 
 
 o,4 
 
 88 6065 
 
 62,4 
 
 + 0,1 
 
 88 
 
 '359 
 
 28,1 
 
 0,2 
 
 88 
 
 12391 
 
 52,3 
 
 0,2 
 
 92 -15328 
 
 7,6 
 
 o,3 
 
 92 
 
 5816 
 
 61,8 
 
 0,1 
 
 92 
 
 H76 
 
 30,1 
 
 o,3 
 
 92 
 
 12597 
 
 50,6 
 
 0,2 
 
 96 
 
 15294 
 
 9,8 
 
 o,3 
 
 96 
 
 5570 
 
 6,,, 
 
 0,1 
 
 96 
 
 1600 
 
 32,3 
 
 0,2 
 
 96 
 
 12796 
 
 49,o 
 
 0,1 
 
 200 
 
 0-15250 
 
 -12,2 
 
 -0,3 
 
 400 
 
 0-05327 
 
 -60,4 
 
 + 0,1 
 
 6 00 
 
 0-01734 
 
 + 34,3 
 
 + 0,3 
 
 8 00 
 
 0-12989 
 
 + 47,5 
 
 -0,2 
 
 i 
 
 
 
 
 
 
 
 
 
 
 
 
 
 Applied Constant: -f-o'o8ooo. 
 
SATELLITE III 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 Equations of Longitude 
 
 XIX 
 
 XX 
 
 XXI 
 
 i 
 
 z 
 
 i 
 
 2 
 
 F 
 
 Equation 
 
 F 
 
 Equation 
 
 d 
 00 
 
 o 
 
 o-ooioo 
 
 d 
 
 4-0 
 
 
 
 0-00136 
 
 2 
 
 86 
 
 2 
 
 148 
 
 4 
 
 72 
 
 4 
 
 158 
 
 6 
 
 60 
 
 6 
 
 1 66 
 
 8 
 
 48 
 
 8 
 
 173 
 
 10 
 
 39 
 
 50 
 
 177 
 
 1-2 
 
 0-0003 ' 
 
 52 
 
 0*00178 
 
 4 
 
 26 
 
 4 
 
 '77 
 
 6 
 
 23 
 
 6 
 
 173 
 
 8 
 
 22 
 
 8 
 
 167 
 
 20 
 
 24 
 
 60 
 
 >59 
 
 22 
 
 O-OOO29 
 
 62 
 
 0-00149 
 
 4 
 
 3 6 
 
 4 
 
 '37 
 
 6 
 
 45 
 
 6 
 
 124 
 
 8 
 
 56 
 
 8 
 
 no 
 
 3-D 
 
 68 
 
 7-0 
 
 96 
 
 3-2 
 
 0-0008 1 
 
 7-2 
 
 0-00082 
 
 4 
 
 95 
 
 4 
 
 69 
 
 6 
 
 109 
 
 6 
 
 57 
 
 8 
 
 123 
 
 8 
 
 46 
 
 4O 
 
 0-00136 
 
 80 
 
 0-00037 
 
 I 
 
 2 
 
 i 
 
 2 
 
 G 
 
 Equation 
 
 G 
 
 Equation 
 
 d 
 
 oo 
 
 o 
 
 0-00050 
 
 d 
 40 
 
 o 
 
 0-00066 
 
 2 
 
 44 
 
 *2 
 
 7' 
 
 4 
 
 38 
 
 4 
 
 76 
 
 6 
 
 32 
 
 6 
 
 80 
 
 8 
 
 27 
 
 8 
 
 83 
 
 1-0 
 
 22 
 
 50 
 
 84 
 
 1-2 
 
 O-OOOig 
 
 52 
 
 0-00085 
 
 4 I 7 
 
 4 
 
 85 
 
 6 15 
 
 6 
 
 83 
 
 8 
 
 '5 
 
 8 
 
 80 
 
 20 1 6 
 
 60 
 
 76 
 
 22 
 
 O'OOOlS 
 
 62 
 
 0-00072 
 
 4 
 
 21 
 
 4 
 
 67 
 
 6 25 
 
 6 
 
 61 
 
 8 
 
 30 
 
 8 
 
 55 
 
 3-0 
 
 35 
 
 7*O 
 
 4 8 
 
 32 
 
 0-00041 
 
 72 
 
 0-00042 
 
 4 
 
 48 
 
 4 
 
 36 
 
 6 
 
 54 
 
 6 
 
 3i 
 
 8 
 
 60 
 
 8 
 
 26 
 
 4O 
 
 o -00066 
 
 80 
 
 O'OOO22 
 
 I 
 
 2 
 
 i 
 
 2 
 
 H 
 
 Equation 
 
 H 
 
 Equation 
 
 d 
 
 o-o 
 
 o 
 O'OOIOO 
 
 d 
 
 4-0 
 
 o 
 
 0-00081 
 
 2 
 
 109 
 
 2 
 
 72 
 
 4 
 
 118 
 
 4 
 
 65 
 
 6 
 
 127 
 
 6 
 
 58 
 
 8 
 
 135 
 
 8 
 
 53 
 
 1-0 
 
 141 
 
 50 
 
 49 
 
 1-2 
 
 0-00147 
 
 52 
 
 0*00047 
 
 4 
 
 i5' 
 
 4 
 
 46 
 
 6 
 
 '53 
 
 6 
 
 47 
 
 8 
 
 '54 
 
 8 
 
 5 
 
 20 
 
 '53 
 
 60 
 
 54 
 
 22 
 
 0-00151 
 
 6-2 
 
 0-00059 
 
 4 
 
 47 
 
 4 
 
 66 
 
 6 
 
 141 
 
 6 
 
 74 
 
 8 
 
 '34 
 
 8 
 
 83 
 
 3-0 
 
 127 
 
 7-O 
 
 92 
 
 3-2 
 
 0-00118 
 
 72 
 
 O'OOIOI 
 
 4 
 
 109 
 
 6 
 
 no 
 
 6 
 
 99 
 
 4 
 
 I2O 
 
 8 
 
 90 
 
 8 
 
 128 
 
 4-O 
 
 0-00081 
 
 80 
 
 0-00136 
 
 Applied Constant : +o'-ooioo. 
 
 Applied Constant : +o-oooso. 
 
 Applied Constant : +o a 'ooioo. 
 
 XXII 
 
 Argument I 
 
 I 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 1 
 
 Equation 
 
 A 
 
 oi-i 
 
 1 
 
 Equation 
 
 A 
 
 o*-i 
 
 1 
 
 Equation 
 
 A 
 O d 'I 
 
 1 
 
 Equation 
 
 A 
 0<-I 
 
 1 
 
 Equation 
 
 A 
 0<i-I 
 
 d 
 
 
 
 
 d 
 
 o 
 
 
 d 
 
 o 
 
 
 d 
 
 
 
 
 d o 
 
 
 00 
 
 0-00700 
 
 -7,6 
 
 11 -O 
 
 0-00107 
 
 - i,4 
 
 220 
 
 0-00473 
 
 + 7,o 
 
 330 
 
 O'OI2O6 
 
 + 4,' 
 
 44*O 0'OII2 1 
 
 - 5,4 
 
 05 
 
 662 
 
 7,5 
 
 11-5 
 
 101 
 
 1,0 
 
 22-5 
 
 508 
 
 7,2 
 
 335 
 
 1225 
 
 3,7 
 
 44-5 
 
 1093 
 
 5,7 
 
 10 
 
 625 
 
 7,5 
 
 12-0 
 
 97 
 
 - ,5 
 
 230 
 
 545 
 
 7,4 
 
 34-O 
 
 1243 
 
 3,4 
 
 450 
 
 1064 
 
 6,0 
 
 1-5 
 
 587 
 
 7,5 
 
 12-5 
 
 96 
 
 0,0 
 
 23-5 
 
 582 
 
 7.5 
 
 345 
 
 1259 
 
 2,9 
 
 45-5 j 1033 
 
 6,4 
 
 20 
 
 550 
 
 7,3 
 
 130 
 
 97 
 
 + 0,4 
 
 240 
 
 620 
 
 7,5 
 
 35 O 
 
 1272 
 
 2 ,4 
 
 460 
 
 IOOO 
 
 6,6 
 
 2-5 
 
 5'4 
 
 7,' 
 
 135 
 
 IOO 
 
 ,9 
 
 24-5 
 
 657 
 
 7,4 
 
 355 
 
 1283 
 
 2,0 
 
 465 
 
 967 
 
 6,8 
 
 3-0 
 
 0-00479 
 
 - 7,o 
 
 14 O 
 
 0-00106 
 
 + i,4 
 
 250 
 
 0-00694 
 
 + 7,5 
 
 360 
 
 0*01292 
 
 + ',5 
 
 47 
 
 0-00932 
 
 - 7,o 
 
 3-5 
 
 444 
 
 6,9 
 
 145 
 
 "4 
 
 1,8 
 
 255 
 
 732 
 
 7,6 
 
 36-5 
 
 1298 
 
 1,0 
 
 47*5 
 
 897 
 
 7,i 
 
 40 
 
 410 
 
 6,7 
 
 150 
 
 i*4 
 
 2,3 
 
 260 
 
 770 
 
 7,5 
 
 370 
 
 1302 
 
 0,6 
 
 48 O 
 
 861 
 
 7,3 
 
 45 
 
 377 
 
 6,4 
 
 155 
 
 137 
 
 2,8 
 
 26-5 
 
 807 
 
 7,4 
 
 375 
 
 1304 
 
 + 0,1 
 
 48 5 
 
 824 
 
 7,4 
 
 50 
 
 34 6 
 
 6,1 
 
 16-O 
 
 152 
 
 3,2 
 
 270 
 
 844 
 
 7,3 
 
 380 
 
 1303 
 
 - o,4 
 
 490 
 
 787 
 
 7,4 
 
 55 
 
 0-00316 
 
 - 5,8 
 
 165 
 
 0-00169 
 
 + 3,6 
 
 275 
 
 0-00880 
 
 + 7,2 
 
 385 
 
 0-01300 
 
 - 0,8 
 
 495 
 
 0-00750 
 
 - 7,5 
 
 60 
 
 288 
 
 5,5 
 
 170 
 
 188 
 
 4,0 
 
 28O 
 
 916 
 
 7,' 
 
 33 
 
 1295 
 
 ',3 
 
 5OO 
 
 712 
 
 7,6 
 
 6'5 
 
 261 
 
 5,z 
 
 17-5 
 
 209 
 
 4,4 
 
 285 
 
 95 1 
 
 6,9 
 
 395 
 
 1287 
 
 1,8 
 
 505 
 
 674 
 
 7,6 
 
 7-0 
 
 236 
 
 4,8 
 
 18 O 
 
 232 
 
 4,8 
 
 29-0 
 
 985 
 
 6,7 
 
 400 
 
 1277 
 
 2,3 
 
 51 -O 
 
 636 
 
 7,5 
 
 75 
 
 213 
 
 4,4 
 
 18-5 
 
 *57 
 
 5, 1 
 
 295 
 
 1018 
 
 6,4 
 
 40 5 
 
 1264 
 
 2,7 
 
 51*5 
 
 599 
 
 7,4 
 
 80 
 
 0-00192 
 
 - 4,* 
 
 190 
 
 0-00283 
 
 + 5,4 
 
 300 
 
 0-01049 
 
 + 6,1 
 
 41 O 
 
 0-01250 
 
 - 3,0 
 
 520 
 
 0-00562 
 
 - 7,3 
 
 8-5 
 
 171 
 
 3,8 
 
 195 
 
 3ii 
 
 5,8 
 
 30 5 
 
 1079 
 
 5,9 
 
 41 5 
 
 '234 
 
 3,5 
 
 52-5 
 
 526 
 
 7,2 
 
 90 
 
 '54 
 
 3,2 
 
 20 
 
 34' 
 
 6,2 
 
 31 
 
 1108 
 
 5,6 
 
 42 
 
 1215 
 
 4,o 
 
 530 
 
 490 
 
 7,' 
 
 95 
 
 '39 
 
 2,8 
 
 205 
 
 373 
 
 6,4 
 
 31-5 
 
 "35 
 
 5,2 
 
 425 
 
 "94 
 
 4,4 
 
 535 
 
 455 
 
 7,o 
 
 100 
 
 126 
 
 2,4 
 
 21 
 
 405 
 
 6,5 
 
 32 
 
 1 160 
 
 4,9 
 
 43-O 
 
 1171 
 
 4,7 
 
 54 O 
 
 420 
 
 6,8 
 
 105 
 
 0-00115 
 
 - ',9 
 
 21*5 
 
 0-00438 
 
 + 6,8 
 
 325 
 
 0-01184 
 
 + 4,6 
 
 43-5 
 
 o'oi 147 
 
 - 5, 
 
 545 
 
 0-00387 
 
 -6,5 
 
 11-0 
 
 0-00107 
 
 - ',4 
 
 220 
 
 0-00473 
 
 + 7,0 
 
 33 
 
 0-01206 
 
 + 4,' 
 
 440 
 
 O'OI 121 
 
 - 5,4 
 
 550 
 
 0-00355 ! - 6,3 
 
 Applied Constant : -fc/'ooyoo. 
 
SATELLITE III 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 Equations of Longitude 
 
 XXIII 
 
 XXIV 
 
 I 
 
 Z 
 
 i 
 
 z 
 
 J 
 
 Equation 
 
 J 
 
 Equation 
 
 d 
 
 o 
 
 o 
 
 o '00050 
 
 d 
 
 250 
 
 
 
 0-00075 
 
 5 
 
 47 
 
 255 
 
 77 
 
 1O 
 
 44 
 
 260 
 
 79 
 
 15 
 
 4i 
 
 265 
 
 Bi 
 
 2O 
 
 39 
 
 270 
 
 82 
 
 25 
 
 36 
 
 275 
 
 83 
 
 3O 
 
 0-00034 
 
 280 
 
 0-00084 
 
 35 
 
 3i 
 
 285 
 
 85 
 
 4O 
 
 29 
 
 29O 
 
 86 
 
 45 
 
 27 
 
 295 
 
 86 
 
 50 
 
 25 
 
 30O 
 
 86 
 
 55 
 
 0-00023 
 
 3O5 
 
 0-00086 
 
 6O 
 
 21 
 
 31 
 
 86 
 
 65 
 
 19 
 
 315 
 
 5 
 
 7O 
 
 if 
 
 32O 
 
 84 
 
 75 
 
 i7 
 
 325 
 
 83 
 
 8O 
 
 0-00016 
 
 33O 
 
 0-00082 
 
 85 
 
 IS 
 
 335 
 
 81 
 
 90 
 
 H 
 
 34O 
 
 79 
 
 95 
 
 H 
 
 345 
 
 78 
 
 100 
 
 H 
 
 350 
 
 76 
 
 105 
 
 0-00014 
 
 355 
 
 0-00074 
 
 110 
 
 '4 
 
 36O 
 
 72 
 
 115 
 
 15 
 
 365 
 
 70 
 
 120 
 
 16 
 
 37O 
 
 67 
 
 125 
 
 i7 
 
 375 
 
 65 
 
 130 
 
 0-00018 
 
 38O 
 
 0-00062 
 
 135 
 
 '9 
 
 385 
 
 59 
 
 140 
 
 21 
 
 39O 
 
 56 
 
 145 
 
 23 
 
 395 
 
 54 
 
 15O 
 
 24 
 
 40O 
 
 5 1 
 
 155 
 
 O-OOO26 
 
 4O5 
 
 0-00048 
 
 16O 
 
 2 9 
 
 41 
 
 45 
 
 165 
 
 3' 
 
 415 
 
 43 
 
 170 
 
 33 
 
 42O 
 
 40 
 
 175 
 
 36 
 
 425 
 
 37 
 
 18O 
 
 0-00039 
 
 430 
 
 0-00034 
 
 185 
 
 42 
 
 435 
 
 3* 
 
 19O 
 
 44 
 
 44O 
 
 *9 
 
 195 
 
 47 
 
 445 
 
 27 
 
 20O 
 
 5 
 
 45O 
 
 5 
 
 205 
 
 0-00053 
 
 455 
 
 0-00023 
 
 210 
 
 55 
 
 46O 
 
 21 
 
 215 
 
 58 
 
 465 
 
 '9 
 
 22O 
 
 61 
 
 470 
 
 18 
 
 225 
 
 64 
 
 475 
 
 17 
 
 230 
 
 0-00066 
 
 480 
 
 0-00016 
 
 235 
 
 69 
 
 485 
 
 15 
 
 24O 
 
 7i 
 
 490 
 
 15 
 
 245 
 
 73 
 
 495 
 
 H 
 
 25O 
 
 0-00075 
 
 5OO 
 
 0-00014 
 
 i 
 
 z 
 
 3 
 
 
 
 z 
 
 3 
 
 K 
 
 Equation 
 
 A 
 !< 
 
 K 
 
 Equation 
 
 A 
 I< 
 
 d 
 
 O 
 
 
 
 0-00400 
 
 -4,6 
 
 d 
 
 250 
 
 
 
 0-00495 
 
 + 4,4 
 
 5 
 
 377 
 
 4,6 
 
 255 
 
 516 
 
 4,3 
 
 1O 
 
 354 
 
 4,5 
 
 26O 
 
 538 
 
 4.' 
 
 15 
 
 332 
 
 4,4 
 
 265 
 
 558 
 
 4, 
 
 2O 
 
 310 
 
 4,4 
 
 270 
 
 578 
 
 3,8 
 
 25 
 
 288 
 
 4,3 
 
 275 
 
 596 
 
 3,6 
 
 3O 
 
 0-00267 
 
 - 4, 2 
 
 28O 
 
 0-00614 
 
 + 3,5 
 
 35 
 
 247 
 
 4,o 
 
 285 
 
 631 
 
 3,3 
 
 4O 
 
 227 
 
 3,9 
 
 29O 
 
 647 
 
 3,' 
 
 45 
 
 208 
 
 3,7 
 
 295 
 
 662 
 
 2,8 
 
 SO 
 
 190 
 
 3,4 
 
 3OO 
 
 675 
 
 2,6 
 
 55 
 
 0-00173 
 
 - 3,3 
 
 3O5 
 
 0-00687 
 
 + 2,3 
 
 60 
 
 '57 
 
 3,i 
 
 31 
 
 698 
 
 2,0 
 
 65 
 
 142 
 
 2,9 
 
 315 
 
 707 
 
 L7 
 
 70 
 
 128 
 
 2,6 
 
 320 
 
 715 
 
 '.4 
 
 75 
 
 116 
 
 2,3 
 
 325 
 
 7*1 
 
 1,1 
 
 80 
 
 0-00105 
 
 - 2,1 
 
 33O 
 
 0-00726 
 
 + 0,8 
 
 85 
 
 95 
 
 1,8 
 
 335 
 
 729 
 
 o,S 
 
 90 
 
 87 
 
 ',5 
 
 34O 
 
 731 
 
 + 0,2 
 
 95 
 
 80 
 
 1,2 
 
 345 
 
 73' 
 
 0,0 
 
 1OO 
 
 75 
 
 0-9 
 
 35O 
 
 73> 
 
 - 0,4 
 
 105 
 
 0-0007 ' 
 
 -0,6 
 
 355 
 
 0-00728 
 
 -0,8 
 
 110 
 
 69 
 
 - 0,3 
 
 36O 
 
 723 
 
 i,' 
 
 115 
 
 68 
 
 0,0 
 
 365 
 
 717 
 
 ',3 
 
 12O 
 
 69 
 
 + o,3 
 
 370 
 
 710 
 
 1,6 
 
 125 
 
 7> 
 
 0,6 
 
 375 
 
 701 
 
 ',9 
 
 ISO 
 
 0-00075 
 
 + ',o 
 
 380 
 
 0-00691 
 
 - 2,2 
 
 135 
 
 81 
 
 i,3 
 
 385 
 
 679 
 
 2,5 
 
 140 
 
 88 
 
 ',6 
 
 390 
 
 666 
 
 2,8 
 
 145 
 
 97 
 
 '>9 
 
 395 
 
 65. 
 
 3,0 
 
 ISO 
 
 107 
 
 2,2 
 
 4OO 
 
 636 
 
 3,2 
 
 155 
 
 0-00119 
 
 + 2,4 
 
 405 
 
 0-00619 
 
 - 3,4 
 
 16O 
 
 13' 
 
 *,7 
 
 41 
 
 602 
 
 3,6 
 
 165 
 
 H5 
 
 2,9 
 
 415 
 
 583 
 
 3,8 
 
 170 
 
 1 60 
 
 3,1 
 
 420 
 
 564 
 
 4,o 
 
 175 
 
 176 
 
 3,3 
 
 425 
 
 544 
 
 4,i 
 
 180 
 
 0-00193 
 
 + 3,6 
 
 43O 
 
 0-00523 
 
 - 4-2 
 
 185 
 
 211 
 
 3,8 
 
 435 
 
 502 
 
 4,3 
 
 190 
 
 2JI 
 
 4, 
 
 44O 
 
 480 
 
 4,4 
 
 195 
 
 251 
 
 4,1 
 
 445 
 
 458 
 
 4,5 
 
 200 
 
 272 
 
 4,2 
 
 45O 
 
 435 
 
 4,5 
 
 205 
 
 O-OO293 
 
 + 4,3 
 
 455 
 
 0-00412 
 
 -4,6 
 
 21O 
 
 315 
 
 4,4 
 
 46O 
 
 389 
 
 4,5 
 
 215 
 
 337 
 
 4,5 
 
 465 
 
 366 
 
 4,5 
 
 22O 
 
 360 
 
 4,5 
 
 47O 
 
 344 
 
 4,4 
 
 225 
 
 382 
 
 4,5 
 
 475 
 
 322 
 
 4,4 
 
 23O 
 
 0-00405 
 
 + 4,5 
 
 48O 
 
 0-00300 
 
 - 4,3 
 
 235 
 
 428 
 
 4,6 
 
 485 
 
 278 
 
 4,3 
 
 24O 
 
 45' 
 
 4,5 
 
 49O 
 
 257 
 
 4, 1 
 
 245 
 
 473 
 
 4,4 
 
 495 
 
 237 
 
 4,o 
 
 25O 
 
 0-00495 
 
 + 4,4 
 
 500 
 
 0-00217 
 
 - 3,8 
 
 Applied Constant : +o'-oooso. 
 
 Applied Constant : +o'-oo4oo. 
 
 '77 
 
SATELLITE III 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 xxv 
 
 Equations of Longitude 
 
 XXVI 
 
 I 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 L 
 
 Equation 
 
 A 
 Id 
 
 L 
 
 Equation 
 
 A 
 id 
 
 d 
 
 o 
 
 
 d 
 
 
 
 
 o 
 
 0-00700 
 
 + 8,8 
 
 25O 
 
 O'OO622 
 
 - 8,6 
 
 5 
 
 74-4 
 
 8,7 
 
 255 
 
 579 
 
 8,6 
 
 1O 
 
 787 
 
 8,7 
 
 260 
 
 536 
 
 8,5 
 
 15 
 
 830 
 
 8,6 
 
 265 
 
 494 
 
 8,3 
 
 2O 
 
 873 
 
 8,5 
 
 27O 
 
 453 
 
 8,1 
 
 25 
 
 95 
 
 8,4 
 
 275 
 
 413 
 
 7,9 
 
 3O 
 
 0-00957 
 
 + 8,1 
 
 28O 
 
 0-00374 
 
 - 7,7 
 
 35 
 
 997 
 
 7,8 
 
 285 
 
 336 
 
 7,4 
 
 40 
 
 i35 
 
 7,6 
 
 29O 
 
 300 
 
 7,i 
 
 45 
 
 1072 
 
 7,3 
 
 295 
 
 265 
 
 6,7 
 
 50 
 
 1108 
 
 7,o 
 
 3OO 
 
 233 
 
 6,3 
 
 55 
 
 0*01142 
 
 + 6,6 
 
 305 
 
 C-OO2O2 
 
 - 5,9 
 
 6O 
 
 "74 
 
 6,2 
 
 31O 
 
 74 
 
 5,5 
 
 65 
 
 1204 
 
 5,8 
 
 315 
 
 I 4 8 
 
 5,o 
 
 7O 
 
 1132 
 
 5,4 
 
 32O 
 
 124 
 
 4,5 
 
 75 
 
 1258 
 
 4,9 
 
 325 
 
 1O2 
 
 4,o 
 
 SO 
 
 0-01281 
 
 + 4,4 
 
 330 
 
 O-OOO84 
 
 - 3,5 
 
 85 
 
 1302 
 
 3,9 
 
 335 
 
 68 
 
 3,o 
 
 9O 
 
 1320 
 
 3,4 
 
 340 
 
 54 
 
 *,5 
 
 95 
 
 1336 
 
 2,9 
 
 345 
 
 43 
 
 1.9 
 
 1OO 
 
 '349 
 
 2,4 
 
 350 
 
 35 
 
 i,4 
 
 105 
 
 0-01359 
 
 + 1,8 
 
 355 
 
 0-00030 
 
 - 0,8 
 
 110 
 
 1367 
 
 M 
 
 36O 
 
 27 
 
 - 0,2 
 
 115 
 
 1372 
 
 0,6 
 
 365 
 
 28 
 
 + 0,4 
 
 12O 
 
 J373 
 
 + o,' 
 
 370 
 
 3' 
 
 1,0 
 
 125 
 
 137* 
 
 - o,5 
 
 375 
 
 37 
 
 !>5 
 
 ISO 
 
 0-01368 
 
 - 1,1 
 
 38O 
 
 0-00046 
 
 + 2,1 
 
 135 
 
 1361 
 
 1,6 
 
 385 
 
 57 
 
 2,6 
 
 140 
 
 135* 
 
 2,2 
 
 39O 
 
 7* 
 
 3,2 
 
 145 
 
 '339 
 
 2,8 
 
 395 
 
 89 
 
 3,7 
 
 15O 
 
 1324 
 
 3,3 
 
 4OO 
 
 109 
 
 4,2 
 
 155 
 
 0-01306 
 
 - 3,8 
 
 405 
 
 0-00131 
 
 + 4,7 
 
 16O 
 
 1286 
 
 4,3 
 
 41 
 
 156 
 
 5,2 
 
 165 
 
 1363 
 
 4,8 
 
 415 
 
 182 
 
 5,6 
 
 17O 
 
 1238 
 
 5,* 
 
 42O 
 
 212 
 
 6,0 
 
 175 
 
 I2II 
 
 5,6 
 
 425 
 
 HJ 
 
 6,4 
 
 ISO 
 
 O'OIl82 
 
 - 6,1 
 
 43O 
 
 0-00276 
 
 + 6,8 
 
 185 
 
 II5O 
 
 6,6 
 
 435 
 
 311 
 
 7,i 
 
 19O 
 
 1116 
 
 6,9 
 
 440 
 
 347 
 
 7,5 
 
 195 
 
 1081 
 
 7,* 
 
 445 
 
 385 
 
 7,8 
 
 20O 
 
 1044 
 
 7,5 
 
 45O 
 
 425 
 
 8,0 
 
 2O5 
 
 O'oioo6 
 
 - 7,8 
 
 455 
 
 0-00466 
 
 + 8 )2 
 
 210 
 
 966 
 
 8,1 
 
 46O 
 
 507 
 
 8,4 
 
 215 
 
 925 
 
 8,3 
 
 465 
 
 55 
 
 8,6 
 
 22O 
 
 883 
 
 8,5 
 
 47O 
 
 593 
 
 8,6 
 
 225 
 
 840 
 
 8,6 
 
 475 
 
 637 
 
 8,7 
 
 23O 
 
 0-00797 
 
 - 8,6 
 
 48O 
 
 0-00680 
 
 + 8,7 
 
 235 
 
 754 
 
 8,7 
 
 485 
 
 724 
 
 8,8 
 
 24O 
 
 710 
 
 8,7 
 
 49O 
 
 768 
 
 8,7 
 
 245 
 
 666 
 
 8,6 
 
 495 
 
 III 
 
 8,6 
 
 25O 
 
 0-00622 
 
 - 8,6 
 
 500 
 
 0-00854 
 
 + 8,5 
 
 Applied Constant : +o'oo7oo. 
 
 i 
 
 1 
 
 3 
 
 I 
 
 2 
 
 3 
 
 M 
 
 Equation 
 
 A 
 id 
 
 M 
 
 Equation 
 
 A 
 Id 
 
 d 
 
 o 
 
 
 d 
 
 o 
 
 
 
 
 0-00300 
 
 + 3,8 
 
 25O 
 
 0-00273 
 
 - 3,8 
 
 5 
 
 319 
 
 3,8 
 
 255 
 
 254 
 
 3,8 
 
 1O 
 
 338 
 
 3,8 
 
 26O 
 
 235 
 
 3,7 
 
 15 
 
 357 
 
 3,7 
 
 265 
 
 217 
 
 3,6 
 
 2O 
 
 375 
 
 3,7 
 
 270 
 
 199 
 
 3,6 
 
 25 
 
 393 
 
 3,6 
 
 275 
 
 181 
 
 3,5 
 
 3O 
 
 0-00411 
 
 + 3,5 
 
 28O 
 
 0-00164 
 
 - 3,4 
 
 35 
 
 428 
 
 3,4 
 
 285 
 
 H7 
 
 3,2 
 
 40 
 
 445 
 
 3,3 
 
 29O 
 
 132 
 
 3,i 
 
 45 
 
 461 
 
 3,2 
 
 296 
 
 117 
 
 3,o 
 
 SO 
 
 477 
 
 3, 
 
 3OO 
 
 102 
 
 2,8 
 
 55 
 
 0-00491 
 
 + 2,8 
 
 3O5 
 
 0-00088 
 
 - 2,6 
 
 60 
 
 505 
 
 2,7 
 
 310 
 
 7 6 
 
 2,4 
 
 65 
 
 518 
 
 2,5 
 
 315 
 
 64 
 
 2,2 
 
 70 
 
 530 
 
 *,3 
 
 32O 
 
 54 
 
 2,1 
 
 75 
 
 54' 
 
 2,1 
 
 325 
 
 44 
 
 ',9 
 
 80 
 
 0-00552 
 
 + ,9 
 
 33O 
 
 0-00035 
 
 - i,7 
 
 85 
 
 561 
 
 ,7 
 
 335 
 
 27 
 
 ',4 
 
 9O 
 
 569 
 
 ,5 
 
 34O 
 
 21 
 
 ',2 
 
 95 
 
 576 
 
 ,3 
 
 345 
 
 16 
 
 o>9 
 
 1OO 
 
 582 
 
 ,i 
 
 35O 
 
 12 
 
 o,7 
 
 1O5 
 
 0-00587 
 
 + 0,8 
 
 355 
 
 O-OOOO9 
 
 - o,5 
 
 110 
 
 59 
 
 0,6 
 
 360 
 
 7 
 
 - 0,2 
 
 115 
 
 592 
 
 + 0,3 
 
 365 
 
 7 
 
 + 0,1 
 
 120 
 
 593 
 
 0,0 
 
 37O 
 
 8 
 
 o,3 
 
 125 
 
 592 
 
 - 0,2 
 
 375 
 
 10 
 
 o,5 
 
 13O 
 
 0-00591 
 
 - 0,5 
 
 38O 
 
 0-00013 
 
 + 0,8 
 
 135 
 
 588 
 
 0,7 
 
 385 
 
 18 
 
 1,0 
 
 14O 
 
 584 
 
 o>9 
 
 39O 
 
 23 
 
 i,3 
 
 145 
 
 579 
 
 1,1 
 
 395 
 
 30 
 
 >,5 
 
 ISO 
 
 573 
 
 1,3 
 
 4OO 
 
 38 
 
 1,8 
 
 155 
 
 0-00566 
 
 - i,5 
 
 405 
 
 0-00048 
 
 + 2,1 
 
 16O 
 
 558 
 
 1,8 
 
 41 
 
 57 
 
 2,2 
 
 165 
 
 548 
 
 2,0 
 
 415 
 
 68 
 
 2,3 
 
 17O 
 
 538 
 
 2,2 
 
 420 
 
 80 
 
 2,5 
 
 175 
 
 526 
 
 2,4 
 
 425 
 
 93 
 
 2,7 
 
 18O 
 
 0-00513 
 
 - 2,6 
 
 43O 
 
 0-00107 
 
 + 2,9 
 
 185 
 
 499 
 
 2,8 
 
 435 
 
 122 
 
 3,0 
 
 190 
 
 485 
 
 3,o 
 
 440 
 
 137 
 
 3,2 
 
 195 
 
 4?o 
 
 3,i 
 
 445 
 
 'S3 
 
 3,3 
 
 2OO 
 
 454 
 
 3,2 
 
 450 
 
 170 
 
 3,4 
 
 2O5 
 
 0-00438 
 
 - 3,3 
 
 455 
 
 0-00187 
 
 + 3,5 
 
 21 
 
 421 
 
 3,5 
 
 460 
 
 205 
 
 3,6 
 
 215 
 
 403 
 
 3,6 
 
 465 
 
 223 
 
 3,6 
 
 22O 
 
 385 
 
 3,6 
 
 47O 
 
 241 
 
 3,7 
 
 225 
 
 367 
 
 3,7 
 
 475 
 
 260 
 
 3,8 
 
 23O 
 
 0-00348 
 
 - 3,7 
 
 480 
 
 0-00279 
 
 + 3,8 
 
 235 
 
 330 
 
 3,7 
 
 485 
 
 298 
 
 3,8 
 
 240 
 
 3" 
 
 3,8 
 
 49O 
 
 3i7 
 
 3,8 
 
 245 
 
 292 
 
 3,8 
 
 495 
 
 336 
 
 3,7 
 
 25O 
 
 0*00273 
 
 - 3,8 
 
 500 
 
 0-00354 
 
 + 3,6 
 
 17* 
 
 Applied Constant : +o"'oo3oo. 
 
SATELLITE III 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XXVII Equation of Longitude Argument a 
 
 I 
 
 2 
 
 3 
 
 I 
 
 2 
 
 3 
 
 t 
 
 * 3 
 
 t 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 a 
 
 Equation 
 
 A 
 10* 
 
 a 
 
 Equation 
 
 A 
 10* 
 
 a 
 
 Equation 
 
 A 
 10* 
 
 a 
 
 Equation 
 
 A 
 10* 
 
 a 
 
 Equation 
 
 A 
 10* 
 
 d 
 
 o 
 
 
 d 
 
 o 
 
 
 d 
 
 o 
 
 
 d 
 
 o 
 
 
 d 
 
 o 
 
 
 
 
 0-01400 
 
 - 21 
 
 1000 
 
 0-00054 
 
 - 2 
 
 2000 
 
 0-01098 
 
 + 18 
 
 300O 
 
 0-02631 
 
 + 8 
 
 4000 
 
 0-02058 
 
 -18 
 
 20 
 
 1358 
 
 21 
 
 1O2O 
 
 5 2 
 
 - I 
 
 2O20 
 
 1134 
 
 Ii 
 
 3020 
 
 2647 
 
 8 
 
 4O2O 
 
 2O22 
 
 It 
 
 40 
 
 1317 
 
 21 
 
 1O4O 
 
 5* 
 
 O 
 
 204O 
 
 1170 
 
 18 
 
 3040 
 
 2661 
 
 7 
 
 4040 
 
 1985 
 
 '9 
 
 60 
 
 1276 
 
 21 
 
 106O 
 
 5* 
 
 + I 
 
 206O 
 
 1207 
 
 18 
 
 3060 
 
 2674 
 
 6 
 
 4060 
 
 '947 
 
 '9 
 
 80 
 
 1235 
 
 21 
 
 1O8O 
 
 54 
 
 I 
 
 2080 
 
 1242 
 
 18 
 
 3080 
 
 2686 
 
 6 
 
 4080 
 
 1909 
 
 '9 
 
 100 
 
 1194 
 
 21 
 
 1100 
 
 57 
 
 2 
 
 21 OO 
 
 1279 
 
 '9 
 
 3100 
 
 2697 
 
 5 
 
 4100 
 
 1871 
 
 '9 
 
 120 
 
 0-01153 
 
 -20 
 
 11 20 
 
 0-00061 
 
 + 2 
 
 21 2O 
 
 0-01316 
 
 + 18 
 
 31 2O 
 
 0-02707 
 
 + 5 
 
 41 2O 
 
 0-01832 
 
 - 20 
 
 140 
 
 1113 
 
 2O 
 
 1 140 
 
 66 
 
 3 
 
 21 4O 
 
 1352 
 
 18 
 
 31 4O 
 
 2716 
 
 4 
 
 41 4O 
 
 '793 
 
 20 
 
 160 
 
 1073 
 
 2O 
 
 116O 
 
 72 
 
 4 
 
 21 6O 
 
 1389 
 
 18 
 
 3160 
 
 2723 
 
 4 
 
 41 6O 
 
 '753 
 
 20 
 
 18O 
 
 '033 
 
 2O 
 
 11 SO 
 
 80 
 
 4 
 
 21 SO 
 
 1425 
 
 18 
 
 31 8O 
 
 2730 
 
 3 
 
 41 8O 
 
 1713 
 
 2O 
 
 2OO 
 
 994 
 
 2O 
 
 12OO 
 
 88 
 
 4 
 
 22OO 
 
 1462 
 
 Ii 
 
 320O 
 
 2736 
 
 3 
 
 420O 
 
 1673 
 
 2O 
 
 220 
 
 0-00955 
 
 - 2O 
 
 122O 
 
 0-00097 
 
 + 5 
 
 222O 
 
 0-01498 
 
 + 18 
 
 322O 
 
 0-02740 
 
 + 2 
 
 422O 
 
 0-01633 
 
 - 21 
 
 24O 
 
 9'5 
 
 2O 
 
 124O 
 
 107 
 
 6 
 
 224O 
 
 '535 
 
 18 
 
 324O 
 
 *744 
 
 2 
 
 424O 
 
 "59' 
 
 21 
 
 260 
 
 877 
 
 '9 
 
 126O 
 
 119 
 
 6 
 
 2260 
 
 1571 
 
 18 
 
 3260 
 
 *747 
 
 I 
 
 426O 
 
 '55 1 
 
 21 
 
 280 
 
 840 
 
 '9 
 
 128O 
 
 131 
 
 7 
 
 228O 
 
 1607 
 
 Ii 
 
 3280 
 
 2748 
 
 + I 
 
 4280 
 
 1509 
 
 21 
 
 300 
 
 802 
 
 '9 
 
 13OO 
 
 '45 
 
 7 
 
 2300 
 
 1644 
 
 18 
 
 3300 
 
 2749 
 
 O 
 
 4300 
 
 1468 
 
 21 
 
 32O 
 
 0-00765 
 
 -19 
 
 132O 
 
 0-00159 
 
 + 8 
 
 232O 
 
 0-01680 
 
 + 18 
 
 3320 
 
 0-02747 
 
 - I 
 
 432O 
 
 0-01426 
 
 -21 
 
 34O 
 
 728 
 
 18 
 
 134O 
 
 175 
 
 8 
 
 234O 
 
 1716 
 
 18 
 
 3340 
 
 *745 
 
 2 
 
 434O 
 
 1384 
 
 21 
 
 36O 
 
 693 
 
 18 
 
 136O 
 
 191 
 
 9 
 
 236O 
 
 1751 
 
 Ii 
 
 3360 
 
 2741 
 
 2 
 
 436O 
 
 '343 
 
 21 
 
 38O 
 
 659 
 
 17 
 
 138O 
 
 209 
 
 9 
 
 2380 
 
 1787 
 
 18 
 
 3380 
 
 2737 
 
 3 
 
 4380 
 
 1302 
 
 21 
 
 40O 
 
 625 
 
 '7 
 
 140O 
 
 226 
 
 9 
 
 24OO 
 
 1821 
 
 '7 
 
 34OO 
 
 2731 
 
 3 
 
 4400 
 
 1261 
 
 21 
 
 42O 
 
 0-00592 
 
 -16 
 
 142O 
 
 0-00246 
 
 + 10 
 
 242O 
 
 0-01856 
 
 + 18 
 
 342O 
 
 0-02724 
 
 - 4 
 
 4420 
 
 0*01219 
 
 - 21 
 
 44O 
 
 560 
 
 16 
 
 144O 
 
 266 
 
 10 
 
 244O 
 
 1891 
 
 17 
 
 3440 
 
 2716 
 
 4 
 
 444O 
 
 "79 
 
 2O 
 
 46O 
 
 5*9 
 
 16 
 
 146O 
 
 287 
 
 ii 
 
 2460 
 
 1925 
 
 '7 
 
 346O 
 
 2707 
 
 5 
 
 446O 
 
 1138 
 
 2O 
 
 48O 
 
 498 
 
 15 
 
 148O 
 
 309 
 
 ii 
 
 2480 
 
 '959 
 
 17 
 
 348O 
 
 2697 
 
 6 
 
 4480 
 
 1098 
 
 20 
 
 500 
 
 468 
 
 15 
 
 1500 
 
 331 
 
 12 
 
 2500 
 
 1992 
 
 17 
 
 3500 
 
 2685 
 
 6 
 
 4500 
 
 1058 
 
 2O 
 
 520 
 
 0-00440 
 
 -14 
 
 152O 
 
 0-00355 
 
 + I* 
 
 2520 
 
 0-02025 
 
 + 16 
 
 3520 
 
 0-02672 
 
 - 7 
 
 452O 
 
 0-01018 
 
 -2O 
 
 540 
 
 411 
 
 4 
 
 154O 
 
 378 
 
 12 
 
 254O 
 
 2057 
 
 16 
 
 3540 
 
 2659 
 
 7 
 
 4540 
 
 979 
 
 20 
 
 560 
 
 383 
 
 H 
 
 156O 
 
 404 
 
 '3 
 
 256O 
 
 2090 
 
 16 
 
 356O 
 
 2643 
 
 8 
 
 4560 
 
 939 
 
 2O 
 
 580 
 
 357 
 
 13 
 
 158O 
 
 430 
 
 '3 
 
 2580 
 
 2121 
 
 16 
 
 3580 
 
 2628 
 
 8 
 
 458O 
 
 900 
 
 '9 
 
 600 
 
 33 2 
 
 12 
 
 1600 
 
 456 
 
 13 
 
 2600 
 
 2152 
 
 IS 
 
 3600 
 
 2610 
 
 9 
 
 4600 
 
 862 
 
 '9 
 
 62O 
 
 0-00309 
 
 - 12 
 
 1620 
 
 0-00483 
 
 + 14 
 
 2620 
 
 O-O2I82 
 
 + '5 
 
 3620 
 
 0-02592 
 
 - 10 
 
 4620 
 
 0-00824 
 
 -19 
 
 64O 
 
 285 
 
 12 
 
 164O 
 
 Si' 
 
 H 
 
 264O 
 
 2213 
 
 '5 
 
 3640 
 
 2572 
 
 IO 
 
 464O 
 
 788 
 
 ll 
 
 66O 
 
 263 
 
 II 
 
 1660 
 
 539 
 
 '4 
 
 266O 
 
 2243 
 
 15 
 
 366O 
 
 2552 
 
 ii 
 
 466O 
 
 75' 
 
 ii 
 
 68O 
 
 241 
 
 I I 
 
 1680 
 
 568 
 
 15 
 
 268O 
 
 2271 
 
 '4 
 
 368O 
 
 2530 
 
 ii 
 
 468O 
 
 7'5 
 
 it 
 
 TOO 
 
 221 
 
 IO 
 
 1700 
 
 597 
 
 15 
 
 27OO 
 
 22 9 9 
 
 H 
 
 37OO 
 
 2508 
 
 12 
 
 47OO 
 
 68 1 
 
 '7 
 
 72O 
 
 O'OO2OI 
 
 - IO 
 
 1720 
 
 0-00628 
 
 + '5 
 
 272O 
 
 0-02326 
 
 + 14 
 
 3720 
 
 0-02484 
 
 - 12 
 
 4720 
 
 0-00646 
 
 -'7 
 
 74O 
 
 I8 3 
 
 9 
 
 1740 
 
 658 
 
 16 
 
 274O 
 
 *353 
 
 H 
 
 3740 
 
 H59 
 
 '3 
 
 4740 
 
 613 
 
 '7 
 
 760 
 
 I6 7 
 
 8 
 
 1760 
 
 690 
 
 ' 6, 
 
 276O 
 
 2380 
 
 '3 
 
 3760 
 
 2434 
 
 13 
 
 476O 
 
 579 
 
 '7 
 
 780 
 
 151 
 
 8 
 
 1780 
 
 722 
 
 16 
 
 278O 
 
 2405 
 
 12 
 
 3780 
 
 2407 
 
 H 
 
 478O 
 
 547 
 
 16 
 
 800 
 
 I3 6 
 
 7 
 
 1800 
 
 754 
 
 16 
 
 2800 
 
 2429 
 
 12 
 
 3800 
 
 2380 
 
 H 
 
 48OO 
 
 5'7 
 
 '5 
 
 82O 
 
 0-00122 
 
 - 7 
 
 182O 
 
 0-00786 
 
 + 17 
 
 2820 
 
 0-02453 
 
 + IZ 
 
 382O 
 
 0-02351 
 
 -i5 
 
 4820 
 
 0-00487 
 
 -'5 
 
 84O 
 
 I IO 
 
 6 
 
 184O 
 
 820 
 
 i7 
 
 2840 
 
 2476 
 
 12 
 
 3840 
 
 2322 
 
 '5 
 
 484O 
 
 458 
 
 '5 
 
 86O 99 
 
 5 
 
 I860 
 
 853 
 
 i7 
 
 2860 
 
 2499 
 
 II 
 
 386O 
 
 2291 
 
 '5 
 
 4860 
 
 428 
 
 '5 
 
 88O 
 
 9 
 
 5 
 
 1880 
 
 887 
 
 i7 
 
 2880 
 
 2521 
 
 II 
 
 388O 
 
 2261 
 
 16 
 
 4880 
 
 400 
 
 H 
 
 900 
 
 81 
 
 4 
 
 190O 
 
 922 
 
 18 
 
 29OO 
 
 2541 
 
 IO 
 
 39OO 
 
 2228 
 
 17 
 
 49OO 
 
 373 
 
 '3 
 
 92O 
 
 0-00073 
 
 - 4 
 
 192O 
 
 0-00957 
 
 + 18 
 
 292O 
 
 0-02561 
 
 + 10 
 
 392O 
 
 0-02195 
 
 -17 
 
 4920 
 
 0-00347 
 
 -'3 
 
 94O 
 
 67 
 
 3 
 
 194O 
 
 992 
 
 18 
 
 294O 
 
 2579 
 
 9 
 
 394O 
 
 2162 
 
 '7 
 
 4940 
 
 3*3 
 
 12 
 
 96O 
 
 62 
 
 * 
 
 196O 
 
 1027 
 
 18 
 
 296O 
 
 2598 
 
 9 
 
 396O 
 
 2128 
 
 17 
 
 496O 
 
 299 
 
 12 
 
 98O 
 
 58 
 
 2 
 
 198O 
 
 1062 
 
 18 
 
 2980 
 
 2615 
 
 8 
 
 398O 
 
 2093 
 
 18 
 
 4980 
 
 276 
 
 I I 
 
 1OOO 
 
 0-00054 
 
 - 2 
 
 2OOO 
 
 0-01098 
 
 + 18 
 
 3OOO 
 
 0-02631 
 
 + 8 
 
 4000 
 
 0-02058 
 
 -18 
 
 5000 
 
 0-00254 
 
 - II 
 
 Applied Constant : -fo""oi40o. 
 179 
 
XXVIII 
 
 SATELLITE III 
 
 Tables of Longitude, Latitude, and 
 
 Equation of Longitude 
 
 Radius Vector 
 
 Argument N 
 
 I 
 
 z 
 
 3 
 
 I 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 N 
 
 Equation 
 
 A 
 
 N 
 
 Equation 
 
 A 
 
 N 
 
 Equation 
 
 A 
 
 
 
 
 
 
 O 
 
 
 
 o 
 
 
 18500 
 
 0-01763 
 
 + 'S 
 
 1 900 
 
 0-01301 
 
 - 22 
 
 1 950 
 
 0-0068 1 
 
 + 19 
 
 1O 
 
 1776 
 
 ii 
 
 1O 
 
 1278 
 
 24 
 
 1-O 
 
 701 
 
 21 
 
 2-0 
 
 1784 
 
 10 
 
 2O 
 
 1253 
 
 25 
 
 20 
 
 722 
 
 23 
 
 3-D 
 
 '795 
 
 9 
 
 30 
 
 1229 
 
 2 5 
 
 30 
 
 747 
 
 2 7 
 
 4O 
 
 1801 
 
 6 
 
 4O 
 
 1204 
 
 27 
 
 4-O 
 
 775 
 
 19 
 
 5-0 
 
 1806 
 
 6 
 
 SO 
 
 1176 
 
 29 
 
 50 
 
 805 
 
 31 
 
 18560 
 
 0-01813 
 
 + 7 
 
 19O6O 
 
 0-01146 
 
 30 
 
 1956 
 
 0-00837 
 
 + 33 
 
 7O 
 
 1820 
 
 7 
 
 70 
 
 1 1 16 
 
 32 
 
 7O 
 
 870 
 
 34 
 
 SO 
 
 1826 
 
 6 
 
 SO 
 
 1083 
 
 33 
 
 80 
 
 905 
 
 35 
 
 9-O 
 
 1831 
 
 8 
 
 90 
 
 1050 
 
 34 
 
 9-O 
 
 94 
 
 36 
 
 18600 
 
 1841 
 
 10 
 
 19100 
 
 1016 
 
 36 
 
 1 960 O 
 
 977 
 
 37 
 
 1861-0 
 
 0-01851 
 
 + 9 
 
 1 91 1 O 
 
 0-00979 
 
 - 36 
 
 1961 O 
 
 0-01014 
 
 + 36 
 
 2O 
 
 1859 
 
 9 
 
 2O 
 
 944 
 
 36 
 
 2O 
 
 1049 
 
 36 
 
 3O 
 
 1868 
 
 9 
 
 SO 
 
 908 
 
 35 
 
 30 
 
 1085 
 
 35 
 
 40 
 
 1877 
 
 9 
 
 4O 
 
 874 
 
 33 
 
 40 
 
 1118 
 
 32 
 
 SO 
 
 1886 
 
 9 
 
 SO 
 
 842 
 
 32 
 
 50 
 
 1149 
 
 33 
 
 18660 
 
 0-01895 
 
 + 9 
 
 19160 
 
 0-00810 
 
 - 32 
 
 1966 O 
 
 0-01183 
 
 + 31 
 
 7O 
 
 1903 
 
 8 
 
 7'O 
 
 779 
 
 2 9 
 
 70 
 
 1212 
 
 30 
 
 8O 
 
 1911 
 
 7 
 
 SO 
 
 752 
 
 26 
 
 SO 
 
 1242 
 
 29 
 
 9O 
 
 1917 
 
 6 
 
 9-O 
 
 728 
 
 23 
 
 9O 
 
 1268 
 
 26 
 
 18700 
 
 1922 
 
 3 
 
 192OO 
 
 706 
 
 21 
 
 19700 
 
 I2 94 
 
 26 
 
 187VO 
 
 0-01923 
 
 + i 
 
 1921 O 
 
 o - oo686 
 
 - '9 
 
 1971 
 
 O-0132O 
 
 + 24 
 
 2O 
 
 1923 
 
 2 
 
 2O 
 
 669 
 
 H 
 
 2O 
 
 1342 
 
 23 
 
 30 
 
 1919 
 
 6 
 
 SO 
 
 658 
 
 II 
 
 30 
 
 1366 
 
 23 
 
 4O 
 
 1912 
 
 8 
 
 4O 
 
 648 
 
 IO 
 
 40 
 
 1388 
 
 23 
 
 50 
 
 1903 
 
 10 
 
 5-0 
 
 638 
 
 8 
 
 S-O 
 
 1412 
 
 2 5 
 
 18760 
 
 0-01892 
 
 - H 
 
 1926O 
 
 0-00632 
 
 - 5 
 
 19760 
 
 O-OI438 
 
 + 25 
 
 7-0 
 
 1876 
 
 18 
 
 7-O 
 
 628 
 
 3 
 
 7-O 
 
 1462 
 
 25 
 
 SO 
 
 1857 
 
 20 
 
 s-o 
 
 627 
 
 - i 
 
 s-o 
 
 1487 
 
 26 
 
 9-O 
 
 1837 
 
 23 
 
 9-O 
 
 626 
 
 o 
 
 90 
 
 1514 
 
 28 
 
 18800 
 
 1812 
 
 26 
 
 1 930 
 
 627 
 
 + i 
 
 19800 
 
 '543 
 
 3 
 
 1881 
 
 0-01786 
 
 - 28 
 
 1 931 
 
 0-00628 
 
 + i 
 
 1 981 
 
 0-01573 
 
 + 31 
 
 2-0 
 
 1757 
 
 28 
 
 2O 
 
 628 
 
 2 
 
 2O 
 
 1604 
 
 3i 
 
 3-O 
 
 1730 
 
 29 
 
 30 
 
 631 
 
 + 2 
 
 SO 
 
 1635 
 
 34 
 
 4O 
 
 1699 
 
 3' 
 
 4O 
 
 631 
 
 O 
 
 4O 
 
 1671 
 
 35 
 
 SO 
 
 1668 
 
 3 
 
 SO 
 
 631 
 
 
 
 5-O 
 
 1704 
 
 34 
 
 18860 
 
 0*01640 
 
 - 30 
 
 1936O 
 
 0-00631 
 
 - I 
 
 1 986 
 
 0-OI738 
 
 + 35 
 
 7O 
 
 1608 
 
 3i 
 
 7-O 
 
 630 
 
 I 
 
 70 
 
 1773 
 
 34 
 
 8-0 
 
 '579 
 
 28 
 
 SO 
 
 629 
 
 2 
 
 80 
 
 1806 
 
 34 
 
 9O 
 
 1552 
 
 28 
 
 90 
 
 627 
 
 2 
 
 90 
 
 1841 
 
 34 
 
 1 890 
 
 1524 
 
 27 
 
 1 940 
 
 626 
 
 I 
 
 1 9900 
 
 1873 
 
 3i 
 
 1891 
 
 0-01499 
 
 - 26 
 
 1941 O 
 
 0-00625 
 
 - 3 
 
 1991 
 
 0-OI903 
 
 + 29 
 
 20 
 
 1472 
 
 26 
 
 20 
 
 621 
 
 - 2 
 
 20 
 
 1931 
 
 28 
 
 3O 
 
 1448 
 
 23 
 
 30 
 
 621 
 
 + 2 
 
 3-O 
 
 '959 
 
 26 
 
 40 
 
 1426 
 
 22 
 
 4-O 
 
 625 
 
 3 
 
 40 
 
 1982 
 
 22 
 
 5-O 
 
 1404 
 
 22 
 
 SO 
 
 626 
 
 4 
 
 s-o 
 
 2O02 
 
 2O 
 
 18960 
 
 0-01383 
 
 - 21 
 
 1 946 O 
 
 0-00632 
 
 + 8 
 
 1996-0 
 
 O-O2O2I 
 
 + J7 
 
 7O 
 
 1363 
 
 21 
 
 7O 
 
 641 
 
 IO 
 
 8-0 
 
 2035 
 
 12 
 
 S'O 
 
 1342 
 
 21 
 
 s-o 
 
 651 
 
 12 
 
 7'O 
 
 2044 
 
 9 
 
 9-0 
 
 1322 
 
 21 
 
 9-0 
 
 664 
 
 15 
 
 9O 
 
 2053 
 
 8 
 
 1 900 
 
 0-01301 
 
 - 22 
 
 1 950 O 
 
 0-00681 
 
 + '9 
 
 20000 
 
 O-O2O59 
 
 + 4 
 
 Applied Constant : +o'-oi4oo. 
 180 
 
SATELLITE III 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XXIX Equation of Longitude Argument O 
 
 I 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 I 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 
 
 Equation 
 
 A 
 Qd'OI 
 
 
 
 Equation 
 
 A 
 Od'OI 
 
 
 
 Equation 
 
 A 
 
 o<'-oi 
 
 
 
 Equation 
 
 A 
 0<1'OI 
 
 
 
 Equation 
 
 A 
 
 o*-oi 
 
 d 
 
 o 
 
 
 d 
 
 o 
 
 
 d 
 
 
 
 
 d 
 
 o 
 
 
 d 
 
 
 
 
 000 
 
 0-04000 
 
 -70 
 
 1-00 
 
 0-00099 
 
 + >3 
 
 200 
 
 0-05440 
 
 + 6 5 
 
 300 
 
 o - o7j69 
 
 -37 
 
 400 
 
 0-01317 
 
 -51 
 
 02 
 
 3861 
 
 7 
 
 02 
 
 127 
 
 15 
 
 02 
 
 55 6 9 
 
 64 
 
 02 
 
 7294 
 
 39 
 
 O2 
 
 1216 
 
 5 
 
 04 
 
 3721 
 
 70 
 
 04 
 
 1 60 
 
 18 
 
 04 
 
 5696 
 
 63 
 
 04 
 
 7214 
 
 4' 
 
 04 
 
 1118 
 
 48 
 
 06 
 
 3583 
 
 6 9 
 
 O6 
 
 198 
 
 20 
 
 06 
 
 5821 
 
 62 
 
 06 
 
 73 
 
 44 
 
 06 
 
 1025 
 
 46 
 
 08 
 
 3444 
 
 6 9 
 
 08 
 
 240 
 
 22 
 
 08 
 
 5944 
 
 61 
 
 08 
 
 7042 
 
 45 
 
 08 
 
 935 
 
 45 
 
 10 
 
 337 
 
 6 9 
 
 1O 
 
 287 
 
 2 5 
 
 10 
 
 6064 
 
 60 
 
 10 
 
 6951 
 
 47 
 
 10 
 
 847 
 
 43 
 
 012 
 
 o - o3i7o 
 
 -68 
 
 1-12 
 
 0-00339 
 
 + 27 
 
 2-12 
 
 0-06182 
 
 + 58 
 
 3-12 
 
 0-06856 
 
 -49 
 
 412 
 
 0-00764 
 
 -41 
 
 14 
 
 334 
 
 68 
 
 14 
 
 395 
 
 2 9 
 
 14 
 
 6297 
 
 57 
 
 14 
 
 6757 
 
 5 
 
 14 
 
 685 
 
 38 
 
 16 
 
 2899 
 
 67 
 
 16 
 
 455 
 
 3 
 
 16 
 
 6409 
 
 55 
 
 16 
 
 6655 
 
 5* 
 
 16 
 
 611 
 
 36 
 
 18 
 
 2766 
 
 66 
 
 18 
 
 520 
 
 34 
 
 18 
 
 6518 
 
 54 
 
 18 
 
 6550 
 
 53 
 
 18 
 
 540 
 
 34 
 
 20 
 
 2634. 
 
 66 
 
 20 
 
 589 
 
 36 
 
 20 
 
 6625 
 
 53 
 
 20 
 
 6442 
 
 55 
 
 2O 
 
 474 
 
 32 
 
 22 
 
 0-02504 
 
 -65 
 
 1-22 
 
 0-00663 
 
 + 38 
 
 2'22 
 
 0-06728 
 
 + 5' 
 
 3-22 
 
 0-06330 
 
 -57 
 
 4-22 
 
 0*00411 
 
 -30 
 
 24 
 
 2376 
 
 64 
 
 24 
 
 74 
 
 40 
 
 24 
 
 6827 
 
 49 
 
 24 
 
 6216 
 
 58 
 
 24 
 
 355 
 
 27 
 
 26 
 
 2250 
 
 63 
 
 26 
 
 822 
 
 42 
 
 26 
 
 6923 
 
 47 
 
 26 
 
 6099 
 
 59 
 
 26 
 
 302 
 
 26 
 
 28 
 
 2126 
 
 62 
 
 28 
 
 907 
 
 44 
 
 28 
 
 7016 
 
 45 
 
 28 
 
 5980 
 
 61 
 
 28 
 
 253 
 
 23 
 
 3O 
 
 2004 
 
 61 
 
 30 
 
 997 
 
 46 
 
 3O 
 
 7104 
 
 43 
 
 30 
 
 5857 
 
 62 
 
 3O 
 
 2IO 
 
 21 
 
 032 
 
 0-01885 
 
 -59 
 
 1-32 
 
 0-01090 
 
 + 47 
 
 232 
 
 0-07189 
 
 + 42 
 
 3'32 
 
 0-05733 
 
 -63 
 
 432 
 
 O'OOI7I 
 
 -I 9 
 
 34 
 
 1768 
 
 58 
 
 34 
 
 1186 
 
 49 
 
 34 
 
 7270 
 
 40 
 
 34 
 
 5607 
 
 64 
 
 34 
 
 136 
 
 16 
 
 36 
 
 1654 
 
 56 
 
 36 
 
 1286 
 
 5' 
 
 36 
 
 7347 
 
 38 
 
 36 
 
 5478 
 
 65 
 
 36 
 
 107 
 
 H 
 
 38 
 
 '543 
 
 55 
 
 38 
 
 1390 
 
 53 
 
 38 
 
 7420 
 
 36 
 
 38 
 
 5348 
 
 66 
 
 38 
 
 81 
 
 II 
 
 40 
 
 H35 
 
 53 
 
 40 
 
 1496 
 
 54 
 
 40 
 
 7489 
 
 33 
 
 40 
 
 5216 
 
 66 
 
 40 
 
 62 
 
 9 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 042 
 
 0-01331 
 
 -5* 
 
 1 42 
 
 0-01606 
 
 + 56 
 
 2-42 
 
 0-07553 
 
 + 3' 
 
 3'42 
 
 0*05083 
 
 -67 
 
 4-42 
 
 0-00047 
 
 - 6 
 
 44 
 
 1229 
 
 5 
 
 44 
 
 1719 
 
 57 
 
 44 
 
 7613 
 
 29 
 
 44 
 
 4948 
 
 68 
 
 44 
 
 37 
 
 4 
 
 46 
 
 1131 
 
 48 
 
 46 
 
 1836 
 
 58 
 
 46 
 
 7668 
 
 27 
 
 46 
 
 4812 
 
 68 
 
 46 
 
 3' 
 
 - 2 
 
 48 
 
 1037 
 
 46 
 
 48 
 
 1952 
 
 59 
 
 48 
 
 77'9 
 
 25 
 
 48 
 
 4675 
 
 69 
 
 48 
 
 3 1 
 
 + I 
 
 5O 
 
 946 
 
 45 
 
 5O 
 
 2073 
 
 61 
 
 5O 
 
 7766 
 
 22 
 
 50 
 
 4537 
 
 69 
 
 50 
 
 36 
 
 4 
 
 0-52 
 
 0-00858 
 
 -43 
 
 1-52 
 
 0-02196 
 
 + 62 
 
 252 
 
 0-07807 
 
 + 20 
 
 3-52 
 
 0-04399 
 
 -69 
 
 4-52 
 
 0-00045 
 
 + 6 
 
 54 
 
 775 
 
 4 1 
 
 54 
 
 2321 
 
 63 
 
 54 
 
 7845 
 
 If 
 
 54 
 
 4260 
 
 70 
 
 54 
 
 60 
 
 8 
 
 56 
 
 696 
 
 39 
 
 56 
 
 2449 
 
 64 
 
 56 
 
 7877 
 
 15 
 
 56 
 
 4121 
 
 70 
 
 56 
 
 78 
 
 1 1 
 
 58 
 
 621 
 
 37 
 
 58 
 
 2578 
 
 65 
 
 58 
 
 7904 
 
 13 
 
 58 
 
 398i 
 
 70 
 
 58 
 
 IO2 
 
 13 
 
 60 
 
 55 
 
 35 
 
 60 
 
 2709 
 
 66 
 
 60 
 
 7927 
 
 10 
 
 60 
 
 3842 
 
 70 
 
 60 
 
 131 
 
 16 
 
 062 
 
 0-00483 
 
 -33 
 
 1-62 
 
 0-02841 
 
 + 67 
 
 2-62 
 
 0-07945 
 
 + 8 
 
 3-62 
 
 0-03703 
 
 -70 
 
 4-62 
 
 O-OOI64 
 
 + 18 
 
 64 
 
 420 
 
 3 
 
 64 
 
 2975 
 
 68 
 
 64 
 
 7958 
 
 5 
 
 64 
 
 35 6 4 
 
 70 
 
 64 
 
 203 
 
 21 
 
 66 
 
 363 
 
 28 
 
 66 
 
 3111 
 
 68 
 
 66 
 
 7966 
 
 + 3 
 
 66 
 
 3425 
 
 69 
 
 66 
 
 246 
 
 2 3 
 
 68 
 
 39 
 
 26 
 
 68 
 
 3247 
 
 69 
 
 68 
 
 7969 
 
 o 
 
 68 
 
 3288 
 
 69 
 
 68 
 
 293 
 
 25 
 
 70 
 
 260 
 
 23 
 
 7O 
 
 3385 
 
 69 
 
 7O 
 
 7967 
 
 2 
 
 7O 
 
 3i5i 
 
 68 
 
 7O 
 
 346 
 
 *7 
 
 O'72 
 
 0'OO2l6 
 
 - 21 
 
 1 72 
 
 0-03523 
 
 + 69 
 
 2-72 
 
 0-07961 
 
 - 5 
 
 372 
 
 0-03015 
 
 -68 
 
 4-72 
 
 O-OO403 
 
 + 29 
 
 74 
 
 176 
 
 '9 
 
 74 
 
 3661 
 
 70 
 
 74 
 
 7949 
 
 7 
 
 74 
 
 2881 
 
 67 
 
 74 
 
 463 
 
 32 
 
 76 
 
 141 
 
 16 
 
 76 
 
 3800 
 
 70 
 
 76 
 
 7933 
 
 9 
 
 76 
 
 2748 
 
 66 
 
 76 
 
 5*9 
 
 34 
 
 78 
 
 II I 
 
 H 
 
 78 
 
 394 
 
 7 
 
 78 
 
 7912 
 
 12 
 
 78 
 
 2616 
 
 65 
 
 78 
 
 598 
 
 36 
 
 80 
 
 85 
 
 12 
 
 80 
 
 4079 
 
 70 
 
 SO 
 
 7885 
 
 '4 
 
 80 
 
 2487 
 
 64 
 
 8O 
 
 673 
 
 38 
 
 082 
 
 0-00065 
 
 - 9 
 
 1 82 
 
 0-04218 
 
 + 70 
 
 2-82 
 
 0-07855 
 
 -17 
 
 3-82 
 
 0-02359 
 
 -64 
 
 482 
 
 0-00750 
 
 + 40 
 
 84 
 
 49 
 
 7 
 
 84 
 
 4357 
 
 70 
 
 84 
 
 7819 
 
 '9 
 
 84 
 
 2233 
 
 63 
 
 84 
 
 833 
 
 4 2 
 
 86 
 
 38 
 
 4 
 
 86 
 
 4496 
 
 69 
 
 86 
 
 7779 
 
 22 
 
 86 
 
 2109 
 
 61 
 
 86 
 
 919 
 
 4 
 
 88 
 
 32 
 
 - 2 
 
 88 
 
 4 6 34 
 
 69 
 
 88 
 
 7734 
 
 24 
 
 88 
 
 1988 
 
 60 
 
 88 
 
 1009 
 
 46 
 
 90 
 
 3i 
 
 + I 
 
 90 
 
 4771 
 
 69 
 
 90 
 
 7684 
 
 26 
 
 90 
 
 1869 
 
 58 
 
 90 
 
 1 103 
 
 48 
 
 092 
 
 0-00035 
 
 + 3 
 
 1 92 
 
 0-04908 
 
 + 68 
 
 292 
 
 0-07630 
 
 -28 
 
 3-92 
 
 0-01753 
 
 -58 
 
 492 
 
 o-oi 199 
 
 + 49 
 
 94 
 
 44 
 
 6 
 
 94 
 
 543 
 
 67 
 
 94 
 
 7571 
 
 3' 
 
 94 
 
 1639 
 
 56 
 
 94 
 
 1300 
 
 5' 
 
 96 
 
 58 
 
 8 
 
 96 
 
 577 
 
 67 
 
 96 
 
 7508 
 
 33 
 
 96 
 
 1528 
 
 54 
 
 96 
 
 1404 
 
 53 
 
 98 
 1 00 
 
 76 
 0-00099 
 
 10 
 
 + 13 
 
 98 
 200 
 
 539 
 0-05440 
 
 66 
 
 + 65 
 
 98 
 
 3-00 
 
 7441 
 0-07369 
 
 35 
 
 -37 
 
 98 
 
 400 
 
 1421 
 0-01317 
 
 53 
 -5' 
 
 98 
 
 500 
 
 1510 
 0-01621 
 
 54 
 + 56 
 
 Applied Constant : +o*'o4ooo. 
 
 ill 
 
SATELLITE III 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 Equations of Longitude 
 XXIX continued Argument O 
 
 I 
 
 z 
 
 3 
 
 i 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 
 
 Equation 
 
 A 
 O d 'OI 
 
 
 
 Equation ; Q<I. OI 
 
 O 
 
 Equation 
 
 A 
 O d- OI 
 
 d 
 
 o 
 
 
 d 
 
 
 
 
 d 
 
 o 
 
 
 5-OO 
 
 0-01621 
 
 + 56 
 
 600 
 
 0-07561 
 
 + 31 
 
 7-OO 
 
 0^05065 
 
 - 6 7 
 
 02 
 
 '734 
 
 57 
 
 O2 
 
 7620 
 
 29 
 
 O2 
 
 493 
 
 68 
 
 04 
 
 1850 
 
 59 
 
 O4 
 
 7675 
 
 26 
 
 O4 
 
 4793 
 
 69 
 
 06 
 
 1968 
 
 60 
 
 06 
 
 77*5 
 
 24 
 
 O6 
 
 4656 
 
 69 
 
 08 
 
 2089 
 
 61 
 
 08 
 
 777* 
 
 22 
 
 08 
 
 4518 
 
 69 
 
 1O 
 
 2*13 
 
 62 
 
 1O 
 
 7812 
 
 '9 
 
 10 
 
 4380 
 
 69 
 
 512 
 
 0-02338 
 
 + 63 
 
 612 
 
 0^07849 
 
 + 17 
 
 7-12 
 
 0*04241 
 
 - 70 
 
 14 
 
 2466 
 
 65 
 
 14 
 
 7881 
 
 15 
 
 14 
 
 4102 
 
 70 
 
 16 
 
 2596 
 
 65 
 
 16 
 
 7907 
 
 12 
 
 16 
 
 3962 
 
 70 
 
 -18 
 
 2727 
 
 66 
 
 18 
 
 79*9 
 
 IO 
 
 18 
 
 3823 
 
 7 
 
 2O 
 
 2859 
 
 67 
 
 2O 
 
 7947 
 
 8 
 
 2O 
 
 3684 
 
 70 
 
 5-22 
 
 0-02993 
 
 + 68 
 
 6-22 
 
 0-07959 
 
 + 5 
 
 722 
 
 0-03545 
 
 - 7 
 
 24 
 
 3129 
 
 68 
 
 24 
 
 7966 
 
 + 3 
 
 24 
 
 3406 
 
 69 
 
 26 
 
 3265 
 
 69 
 
 26 
 
 7969 
 
 
 
 26 
 
 3269 
 
 68 
 
 28 
 
 343 
 
 69 
 
 28 
 
 7966 
 
 - 3 
 
 28 
 
 3133 
 
 68 
 
 3O 
 
 354* 
 
 69 
 
 30 
 
 7959 
 
 5 
 
 30 
 
 2997 
 
 68 
 
 5-32 
 
 0-03680 
 
 + 69 
 
 632 
 
 0-07947 
 
 - 7 
 
 732 
 
 0-02863 
 
 -67 
 
 34 
 
 38i9 
 
 70 
 
 34 
 
 793 
 
 IO 
 
 34 
 
 2730 
 
 66 
 
 36 
 
 3959 
 
 70 
 
 36 
 
 7908 
 
 12 
 
 36 
 
 2598 
 
 65 
 
 38 
 
 4098 
 
 7 
 
 38 
 
 7881 
 
 15 
 
 38 
 
 2469 
 
 64 
 
 4O 
 
 4237 
 
 70 
 
 40 
 
 7850 
 
 17 
 
 4O 
 
 *34* 
 
 63 
 
 5-42 
 
 0-04376 
 
 + 70 
 
 6-42 
 
 0-07814 
 
 - '9 
 
 742 
 
 0-02216 
 
 - 62 
 
 44 
 
 4515 
 
 69 
 
 44 
 
 mi 
 
 22 
 
 44 
 
 2093 
 
 61 
 
 46 
 
 4 6 53 
 
 69 
 
 46 
 
 77*7 
 
 24 
 
 46 
 
 1972 
 
 60 
 
 48 
 
 4790 
 
 69 
 
 48 
 
 7677 
 
 26 
 
 48 
 
 1853 
 
 59 
 
 BO 
 
 49*7 
 
 68 
 
 50 
 
 7622 
 
 29 
 
 50 
 
 1737 
 
 57 
 
 5-52 
 
 0-05061 
 
 + 67 
 
 652 
 
 0-07562 
 
 - 31 
 
 752 
 
 0-01624 
 
 - 56 
 
 54 
 
 5i9S 
 
 67 
 
 54 
 
 7499 
 
 33 
 
 64 
 
 1513 
 
 55 
 
 56 
 
 53*7 
 
 66 
 
 56 
 
 743i 
 
 35 
 
 56 
 
 1406 
 
 53 
 
 58 
 
 5458 
 
 65 
 
 58 
 
 7359 
 
 37 
 
 58 
 
 1303 
 
 Si 
 
 6O 
 
 5586 
 
 64 
 
 6O 
 
 7*83 
 
 39 
 
 60 
 
 1203 
 
 5 
 
 5-62 
 
 0-05713 
 
 + 63 
 
 662 
 
 0-07203 
 
 - 4i 
 
 762 
 
 0-01105 
 
 -48 
 
 64 
 
 5838 
 
 62 
 
 64 
 
 7118 
 
 43 
 
 64 
 
 1013 
 
 46 
 
 66 
 
 5960 
 
 61 
 
 66 
 
 7030 
 
 45 
 
 66 
 
 9*3 
 
 44 
 
 68 
 
 6080 
 
 60 
 
 68 
 
 6938 
 
 47 
 
 68 
 
 836 
 
 43 
 
 70 
 
 6198 
 
 58 
 
 7O 
 
 6843 
 
 49 
 
 7O 
 
 753 
 
 40 
 
 572 
 
 0-06312 
 
 + 57 
 
 672 
 
 0-06743 
 
 - 5i 
 
 7-72 
 
 0-00675 
 
 - 38 
 
 74 
 
 6424 
 
 55 
 
 74 
 
 6641 
 
 5* 
 
 74 
 
 601 
 
 36 
 
 76 
 
 6533 
 
 54 
 
 76 
 
 6 535 
 
 54 
 
 76 
 
 53i 
 
 34 
 
 78 
 
 6639 
 
 5* 
 
 78 
 
 6427 
 
 55 
 
 78 
 
 465 
 
 3* 
 
 80 
 
 6741 
 
 5 
 
 80 
 
 63H 
 
 57 
 
 so 
 
 4 3 
 
 29 
 
 5-82 
 
 0-06840 
 
 + 49 
 
 6-82 
 
 0-06200 
 
 - 58 
 
 782 
 
 0-00348 
 
 - 26 
 
 84 
 
 6936 
 
 47 
 
 84 
 
 6083 
 
 59 
 
 84 
 
 295 
 
 *5 
 
 86 
 
 7028 
 
 45 
 
 86 
 
 59 6 3 
 
 61 
 
 86 
 
 *47 
 
 23 
 
 88 
 
 7116 
 
 43 
 
 88 
 
 5840 
 
 62 
 
 88 
 
 205 
 
 20 
 
 90 
 
 7200 
 
 4 1 
 
 90 
 
 5716 
 
 63 
 
 9O 
 
 1 66 
 
 ll 
 
 5'92 
 
 0-07280 
 
 + 39 
 
 6'92 
 
 0-05589 
 
 -64 
 
 7-92 
 
 0-00132 
 
 - 16 
 
 94 
 
 7357 
 
 37 
 
 94 
 
 5460 
 
 65 
 
 94 
 
 103 
 
 H 
 
 96 
 
 74*9 
 
 35 
 
 96 
 
 533 
 
 66 
 
 96 
 
 78 
 
 ii 
 
 98 749 8 
 
 33 
 
 98 
 
 5198 
 
 66 
 
 98 
 
 60 
 
 8 
 
 6-OO i 0-07561 
 
 + 3' 
 
 7-00 
 
 0-05065 
 
 -67 
 
 800 
 
 0*00046 
 
 - 6 
 
 XXX 
 
 I 
 
 2 
 
 3 
 
 p 
 
 Equation 
 
 A 
 O d 'OI 
 
 d 
 000 
 
 o 
 
 0-00050 
 
 + 0,8 
 
 08 
 
 56 
 
 0,8 
 
 16 
 
 62 
 
 0,8 
 
 24 
 
 68 
 
 o,7 
 
 32 
 
 73 
 
 0,6 
 
 4O 
 
 78 
 
 0,6 
 
 048 
 
 0-00083 
 
 + 0,6 
 
 56 
 
 87 
 
 o,4 
 
 64 
 
 90 
 
 o,3 
 
 72 
 
 9* 
 
 0,2 
 
 80 
 
 93 
 
 + 0,1 
 
 88 
 
 0-00094 
 
 0,0 
 
 96 
 
 94 
 
 O,I 
 
 1 04 
 
 93 
 
 0,2 
 
 12 
 
 91 
 
 o,3 
 
 20 
 
 88 
 
 0,4 
 
 1-28 
 
 0-00084 
 
 - 0,5 
 
 36 
 
 80 
 
 0,6 
 
 44 
 
 75 
 
 0,6 
 
 52 
 
 70 
 
 o,7 
 
 60 
 
 64 
 
 0,8 
 
 1 68 
 
 0-00058 
 
 - 0,8 
 
 76 
 
 52 
 
 0,8 
 
 84 
 
 46 
 
 0,8 
 
 92 
 
 40 
 
 0,8 
 
 2 00 
 
 34 
 
 0,8 
 
 208 
 
 0-00028 
 
 - 0,7 
 
 16 
 
 23 
 
 0,6 
 
 24 
 
 '9 
 
 o,5 
 
 32 
 
 IS 
 
 o,5 
 
 40 
 
 ii 
 
 o,4 
 
 2-48 
 
 0-00009 
 
 - 0,3 
 
 56 
 
 7 
 
 0,2 
 
 64 
 
 6 
 
 - 0,1 
 
 72 
 
 6 
 
 + 0,1 
 
 80 
 
 7 
 
 0,2 
 
 288 
 
 0-00009 
 
 + 0,3 
 
 96 
 
 ii 
 
 0,3 
 
 3-04 
 
 H 
 
 o,4 
 
 12 
 
 18 
 
 0,6 
 
 2O 
 
 23 
 
 0,6 
 
 328 
 
 0-00028 
 
 + 0,7 
 
 36 
 
 34 
 
 0,8 
 
 44 
 
 40 
 
 0,8 
 
 52 
 
 46 
 
 0,8 
 
 60 
 
 52 
 
 0,8 
 
 368 
 
 0-00058 
 
 + 0,8 
 
 76 
 
 64 
 
 0,8 
 
 84 
 
 70 
 
 o,7 
 
 92 
 
 75 
 
 0,6 
 
 400 
 
 0-00080 
 
 + 0,6 
 
 Applied Constant : +o'-04ooo. 
 
 182 
 
 Constant : +o"'ooo5o. 
 
SATELLITE III 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 Equations of Longitude 
 
 XXXI 
 
 XXXII 
 
 I 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 Q 
 
 Equation 
 
 A 
 
 Q 
 
 Equation 
 
 A 
 O d 'OI 
 
 000 
 
 o 
 
 0-00600 
 
 - 8,1 
 
 200 
 
 0-00771 
 
 + 7,6 
 
 O4 
 
 567 
 
 8,1 
 
 04 
 
 801 
 
 7,4 
 
 O8 
 
 535 
 
 8,1 
 
 08 
 
 830 
 
 7,1 
 
 12 
 
 502 
 
 8,1 
 
 12 
 
 858 
 
 6,9 
 
 16 
 
 470 
 
 7,9 
 
 16 
 
 885 
 
 6,6 
 
 20 
 
 439 
 
 7,6 
 
 2O 
 
 911 
 
 6,2 
 
 024 
 
 0-00409 
 
 - 7,5 
 
 2-24 
 
 0-00935 
 
 + 5,8 
 
 28 
 
 379 
 
 7,4 
 
 28 
 
 957 
 
 5,4 
 
 32 
 
 350 
 
 7,o 
 
 32 
 
 978 
 
 4,9 
 
 36 
 
 323 
 
 6,6 
 
 36 
 
 996 
 
 4,4 
 
 40 
 
 297 
 
 6,3 
 
 40 
 
 1013 
 
 3,9 
 
 044 
 
 0-00273 
 
 - 5,9 
 
 244 
 
 0-01027 
 
 + 3,4 
 
 48 
 
 250 
 
 5,5 
 
 48 
 
 1040 
 
 2,9 
 
 52 
 
 229 
 
 5,o 
 
 52 
 
 1050 
 
 2,3 
 
 56 
 
 210 
 
 4,6 
 
 56 
 
 1058 
 
 1,8 
 
 6O 
 
 192 
 
 
 60 
 
 1064 
 
 i,3 
 
 O 64 
 
 o - ooi77 
 
 - 3,5 
 
 264 
 
 0-01068 
 
 + 0,6 
 
 68 
 
 164 
 
 3,o 
 
 68 
 
 1069 
 
 0,0 
 
 72 
 
 153 
 
 *,5 
 
 72 
 
 1068 
 
 - 0,6 
 
 76 
 
 144 
 
 ',9 
 
 76 
 
 1064 
 
 1,1 
 
 80 
 
 138 
 
 1,3 
 
 80 
 
 1059 
 
 i,5 
 
 084 
 
 0-00134 
 
 - 0,8 
 
 284 
 
 0-01052 
 
 - 2,1 
 
 88 
 
 132 
 
 - 0,3 
 
 88 
 
 1042 
 
 2,9 
 
 92 
 
 132 
 
 + 0,4 
 
 92 
 
 1029 
 
 3,4 
 
 96 
 
 135 
 
 o,9 
 
 96 
 
 1015 
 
 3,8 
 
 1 00 
 
 139 
 
 i,4 
 
 300 
 
 999 
 
 4,3 
 
 1 04 
 
 0-00146 
 
 + 2,1 
 
 3 04 
 
 0-00980 
 
 - 4,9 
 
 08 
 
 156 
 
 2,8 
 
 08 
 
 960 
 
 5,3 
 
 12 
 
 168 
 
 3,3 
 
 12 
 
 938 
 
 5,8 
 
 16 
 
 182 
 
 3,8 
 
 16 
 
 914 
 
 6,3 
 
 20 
 
 198 
 
 4,i 
 
 2O 
 
 888 
 
 6,5 
 
 1 24 
 
 0-00215 
 
 + 4,6 
 
 3-24 
 
 0-00862 
 
 - 6,8 
 
 28 
 
 235 
 
 5,* 
 
 28 
 
 834 
 
 7,i 
 
 32 
 
 257 
 
 5,6 
 
 32 
 
 805 
 
 7,4 
 
 36 
 
 280 
 
 6,0 
 
 36 
 
 775 
 
 7,6 
 
 4O 
 
 305 
 
 6,4 
 
 4O 
 
 744 
 
 7,8 
 
 1 44 
 
 0-00331 
 
 + 6,6 
 
 3-44 
 
 0-00713 
 
 - 7,9 
 
 48 
 
 358 
 
 7,o 
 
 48 
 
 68 1 
 
 8,1 
 
 52 
 
 387 
 
 7,4 
 
 52 
 
 648 
 
 8,2 
 
 56 
 
 417 
 
 7,6 
 
 56 
 
 615 
 
 8,2 
 
 60 
 
 448 
 
 7,9 
 
 6O 
 
 ,582 
 
 8,2 
 
 1 64 
 
 0-00480 
 
 + 8,0 
 
 364 
 
 0-00549 
 
 - 8,1 
 
 68 
 
 512 
 
 8,0 
 
 68 
 
 517 
 
 8,0 
 
 72 
 
 544 
 
 8,1 
 
 72 
 
 485 
 
 8,1 
 
 76 
 
 577 
 
 8,2 
 
 76 
 
 452 
 
 7,9 
 
 80 
 
 610 
 
 8,2 
 
 80 
 
 421 
 
 7,6 
 
 1-84 
 
 0-00643 
 
 + 8,1 
 
 3'84 
 
 0-00391 
 
 - 7,4 
 
 88 
 
 675 
 
 8,1 
 
 88 
 
 362 
 
 7,' 
 
 92 
 
 708 
 
 8,1 
 
 92 
 
 334 
 
 6,8 
 
 96 
 
 740 
 
 7,9 
 
 96 
 
 308 
 
 6,3 
 
 2-00 
 
 0-00771 
 
 + 7,6 
 
 400 
 
 0-00284 
 
 - 5,7 
 
 i 
 
 2 
 
 3 
 
 R 
 
 Equation 
 
 A 
 O d '0l 
 
 d 
 000 
 
 o 
 O'OOIOO 
 
 - 1,6 
 
 08 
 
 87 
 
 1,6 
 
 16 
 
 74 
 
 ',6 
 
 24 
 
 61 
 
 1,6 
 
 32 
 
 49 
 
 ',4 
 
 4O 
 
 39 
 
 i,3 
 
 048 
 
 0-00029 
 
 - 1,1 
 
 56 
 
 21 
 
 o,9 
 
 64 
 
 H 
 
 0,8 
 
 72 
 
 9 
 
 o,5 
 
 80 
 
 6 
 
 - 0,3 
 
 088 
 
 0-00005 
 
 0,0 
 
 96 
 
 6 
 
 + 0,2 
 
 1-04 
 
 8 
 
 o,4 
 
 12 
 
 12 
 
 0,6 
 
 20 
 
 ll 
 
 ,9 
 
 1 28 
 
 O-OO026 
 
 + i, i 
 
 36 
 
 35 
 
 M 
 
 44 
 
 45 
 
 ',4 
 
 52 
 
 57 
 
 i,S 
 
 60 
 
 69 
 
 1,6 
 
 1 68 
 
 0-00082 
 
 + 1,6 
 
 76 
 
 95 
 
 i,7 
 
 84 
 
 109 
 
 i,7 
 
 92 
 
 122 
 
 1,6 
 
 2 00 
 
 '34 
 
 i,5 
 
 208 
 
 0-00146 
 
 + ',5 
 
 16 
 
 158 
 
 ',+ 
 
 24 
 
 168 
 
 i,i 
 
 32 
 
 176 
 
 i,o 
 
 40 
 
 184 
 
 ,9 
 
 248 
 
 0-00189 
 
 + 0,6 
 
 56 
 
 193 
 
 o,4 
 
 64 
 
 195 
 
 + 0,1 
 
 72 
 
 195 
 
 - 0,1 
 
 80 
 
 193 
 
 ,4 
 
 288 
 
 0-00189 
 
 - 0,6 
 
 96 
 
 184 
 
 0,8 
 
 3 04 
 
 177 
 
 1,0 
 
 12 
 
 1 68 
 
 1,1 
 
 20 
 
 '59 
 
 i,3 
 
 328 
 
 0-00147 
 
 - i,5 
 
 36 
 
 135 
 
 i,5 
 
 44 
 
 123 
 
 1,6 
 
 52 
 
 no 
 
 i,7 
 
 60 
 
 96 
 
 ',7 
 
 368 
 
 0-00083 
 
 - 1,6 
 
 76 
 
 70 
 
 1,6 
 
 84 
 
 58 
 
 i,5 
 
 92 
 
 46 
 
 i,4 
 
 4 00 
 
 0-00036 
 
 - 1,2 
 
 Applied Constant : -fo'oo6oo. 
 
 Conitant : -f c*"ooioo. 
 
SATELLITE III 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 Equations of the Variation of the Radius Vector, Doubled. 
 XXXIII XXXIV 
 
 XXXV 
 
 XXXVI 
 
 I 
 
 z 
 
 3 
 
 A 
 
 Equa- 
 tion 
 
 A 
 d-I 
 
 d 
 
 
 
 00 
 
 -00373 
 
 -0,2 
 
 2 
 
 375 
 
 1,8 
 
 4 
 
 380 
 
 3,5 
 
 6 
 
 389 
 
 5,5 
 
 8 
 
 402 
 
 7,3 
 
 10 
 
 418 
 
 8,8 
 
 12 
 
 - -00437 
 
 -io,3 
 
 4 
 
 459 
 
 >',5 
 
 6 
 
 483 
 
 12,3 
 
 8 
 
 508 
 
 12,0 
 
 2-0 
 
 53i 
 
 ",3 
 
 22 
 
 -00553 
 
 -10,5 
 
 4 
 
 573 
 
 9, 
 
 6 
 
 589 
 
 7,3 
 
 8 
 
 602 
 
 5,5 
 
 30 
 
 611 
 
 3,8 
 
 32 
 
 - '006 1 7 
 
 - 2,3 
 
 4 
 
 620 
 
 - 1,0 
 
 6 
 
 621 
 
 + 0,5 
 
 8 
 
 618 
 
 2,0 
 
 4-0 
 
 613 
 
 3,5 
 
 42 
 
 '00604 
 
 + 5,3 
 
 4 
 
 592 
 
 6,8 
 
 6 
 
 577 
 
 8,5 
 
 8 
 
 558 
 
 10,0 
 
 50 
 
 537 
 
 11,0 
 
 5'2 
 
 - -00514 
 
 + 12,0 
 
 4 
 
 489 
 
 12,3 
 
 6 
 
 465 
 
 iS 
 
 8 
 
 443 
 
 10,5 
 
 60 
 
 423 
 
 9,3 
 
 6-2 
 
 - -00406 
 
 + 7,5 
 
 4 
 
 393 
 
 6,0 
 
 6 
 
 382 
 
 4,3 
 
 8 
 
 376 
 
 2,3 
 
 7-O 
 
 373 
 
 + 0,5 
 
 72 
 
 - -00374 
 
 ',5 
 
 4 
 
 379 
 
 3,o 
 
 6 
 
 386 
 
 4,8 
 
 8 
 
 398 
 
 7,o 
 
 80 
 
 414 
 
 8,8 
 
 82 
 
 -00433 
 
 - 1 0,0 
 
 4 
 
 454 
 
 11,0 
 
 6 
 
 477 
 
 11,8 
 
 8 
 
 501 
 
 12,0 
 
 90 
 
 525 
 
 11,8 
 
 92 
 
 - -00548 
 
 - 10,8 
 
 4 
 
 568 
 
 9,3 
 
 6 
 
 585 
 
 7,5 
 
 8 
 
 598 
 
 6,0 
 
 too 
 
 - -00609 
 
 - 4,5 
 
 i 
 
 2 
 
 3 
 
 B 
 
 Equa- 
 tion 
 
 A 
 O d 'I 
 
 d 
 
 
 
 00 
 
 + 00015 
 
 0,0 
 
 04 
 
 17 
 
 + 1,1 
 
 08 
 
 H 
 
 2,3 
 
 1-2 
 
 35 
 
 2,8 
 
 1-6 
 
 46 
 
 2,8 
 
 20 
 
 57 
 
 2,3 
 
 2-4 
 
 + -00064 
 
 + 1,4 
 
 28 
 
 68 
 
 + 0,5 
 
 32 
 
 68 
 
 -0,8 
 
 36 
 
 63 
 
 1,8 
 
 40 
 
 54 
 
 2,4 
 
 44 
 
 + '00044 
 
 -2,8 
 
 48 
 
 3* 2,8 
 
 52 
 
 22 
 
 2,3 
 
 58 
 
 4 
 
 1,5 
 
 60 
 
 10 
 
 -0,6 
 
 64 
 
 + -00009 
 
 + 0,4 
 
 68 
 
 13 
 
 i,3 
 
 72 
 
 !9 
 
 2,0 
 
 7-6 
 
 29 
 
 2,6 
 
 80 
 
 40 
 
 2,8 
 
 8-4 
 
 + 00051 
 
 + 2,5 
 
 88 
 
 60 
 
 ',9 
 
 9-2 
 
 66 
 
 + i,3 
 
 96 
 
 69 
 
 0,0 
 
 100 
 
 66 
 
 -',3 
 
 104 
 
 + '00059 
 
 -',9 
 
 10-8 
 
 49 
 
 2,6 
 
 11-2 
 
 38 
 
 2,8 
 
 11-6 
 
 27 
 
 2 >4 
 
 120 
 
 '9 
 
 i,5 
 
 12-4 
 
 + '00015 
 
 -0,4 
 
 12-8 
 
 16 
 
 + 0,9 
 
 132 
 
 22 
 
 !,9 
 
 13-6 
 
 31 
 
 2,5 
 
 140 
 
 42 
 
 2,8 
 
 144 
 
 + 00053 
 
 + 2,5 
 
 14-8 
 
 62 
 
 !,9 
 
 152 
 
 68 
 
 + 0,8 
 
 15-6 
 
 68 
 
 -o,5 
 
 1S O 
 
 64 
 
 i,3 
 
 16-4 
 
 + -00057 
 
 -',9 
 
 16-8 
 
 47 
 
 2,8 
 
 17-2 
 
 35 
 
 2,8 
 
 176 
 
 25 
 
 2,4 
 
 18 O 
 
 16 
 
 1,8 
 
 184 
 
 + -QOOII 
 
 -0,9 
 
 18-8 
 
 9 
 
 0,0 
 
 192 
 
 1 1 
 
 + 1,0 
 
 19-6 
 
 17 
 
 2,0 
 
 200 
 
 + 00027 
 
 + 3,o 
 
 i 
 
 2 
 
 3 
 
 I 
 
 2 
 
 3 
 
 D 
 
 Equa- 
 tion 
 
 A 
 
 D 
 
 Equa- 
 tion 
 
 A 
 
 d 
 
 
 
 d 
 
 
 
 00 
 
 + 00017 
 
 o 
 
 50 
 
 + -00416 
 
 -25 
 
 1 
 
 18 
 
 + 2 
 
 1 
 
 39 
 
 26 
 
 2 
 
 22 
 
 4 
 
 2 
 
 3 6 4 
 
 26 
 
 3 
 
 27 
 
 6 
 
 3 
 
 338 
 
 27 
 
 4 
 
 35 
 
 9 
 
 4 
 
 311 
 
 27 
 
 5 
 
 46 
 
 ii 
 
 5 
 
 285 
 
 27 
 
 06 
 
 + -00058 
 
 + 13 
 
 56 
 
 + -00258 
 
 -27 
 
 7 
 
 72 
 
 15 
 
 7 
 
 232 
 
 26 
 
 8 
 
 89 
 
 17 
 
 8 
 
 207 
 
 2 5 
 
 9 
 
 107 
 
 18 
 
 9 
 
 183 
 
 24 
 
 10 
 
 126 
 
 20 
 
 6'0 
 
 1 60 
 
 23 
 
 1-1 
 
 + -00148 
 
 + 22 
 
 61 
 
 + -00138 
 
 - 21 
 
 2 
 
 170 
 
 23 
 
 2 
 
 118 
 
 20 
 
 3 
 
 194 
 
 24 
 
 3 
 
 99 
 
 9 
 
 4 
 
 218 
 
 25 
 
 4 
 
 81 
 
 17 
 
 5 
 
 244 
 
 26 
 
 5 
 
 66 
 
 '5 
 
 16 
 
 + 00270 
 
 + 26 
 
 66 
 
 + -00052 
 
 -13 
 
 7 
 
 296 
 
 27 
 
 7 
 
 4 1 
 
 IO 
 
 8 
 
 323 
 
 27 
 
 8 
 
 32 
 
 8 
 
 9 
 
 349 
 
 27 
 
 9 
 
 25 
 
 6 
 
 20 
 
 376 
 
 27 
 
 70 
 
 20 
 
 4 
 
 2-1 
 
 + -00402 
 
 + 26 
 
 71 
 
 + 00017 
 
 - 2 
 
 2 
 
 427 
 
 25 
 
 2 
 
 '7 
 
 + I 
 
 3 
 
 452 
 
 2 4 
 
 3 
 
 J 9 
 
 4 
 
 4 
 
 475 
 
 23 
 
 4 
 
 24 
 
 6 
 
 5 
 
 497 
 
 22 
 
 5 
 
 31 
 
 8 
 
 26 
 
 + 00518 
 
 + 20 
 
 76 
 
 + '00040 
 
 + 10 
 
 7 
 
 537 
 
 19 
 
 7 
 
 51 
 
 12 
 
 8 
 
 555 
 
 17 
 
 8 
 
 64 
 
 H 
 
 9 
 
 57' 
 
 15 
 
 9 
 
 79 
 
 16 
 
 30 
 
 585 
 
 '3 
 
 80 
 
 97 
 
 18 
 
 3-1 
 
 + 00597 
 
 + II 
 
 81 
 
 + 00116 
 
 + 19 
 
 2 
 
 606 
 
 9 
 
 2 
 
 136 
 
 21 
 
 3 
 
 614 
 
 7 
 
 3 
 
 158 
 
 23 
 
 4 
 
 619 
 
 4 
 
 4 
 
 181 
 
 24 
 
 5 
 
 622 
 
 + 2 
 
 5 
 
 205 
 
 25 
 
 36 
 
 + 00623 
 
 _ ! 
 
 8-6 
 
 + -00230 
 
 + 26 
 
 7 
 
 621 
 
 3 
 
 7 
 
 256 
 
 26 
 
 8 
 
 617 
 
 5 
 
 8 
 
 282 
 
 26 
 
 9 
 
 611 
 
 7 
 
 9 
 
 308 
 
 27 
 
 40 
 
 602 
 
 9 
 
 9'0 
 
 335 
 
 27 
 
 4-1 
 
 + '00592 
 
 - ii 
 
 91 
 
 + 00361 
 
 + 2 7 
 
 2 
 
 579 
 
 4 
 
 2 
 
 388 
 
 26 
 
 3 
 
 564 
 
 16 
 
 3 
 
 4'3 
 
 25 
 
 4 
 
 547 
 
 18 
 
 4 
 
 438 
 
 24 
 
 5 
 
 529 
 
 '9 
 
 5 
 
 462 
 
 23 
 
 4-6 
 
 + -00509 
 
 - 21 
 
 96 
 
 + 00485 
 
 + 22 
 
 7 
 
 488 
 
 22 
 
 7 
 
 507 
 
 21 
 
 8 
 
 465 
 
 23 
 
 8 
 
 527 
 
 '9 
 
 9 
 
 441 
 
 Z 4 
 
 9 
 
 545 
 
 18 
 
 50 
 
 + '00416 
 
 -25 
 
 100 
 
 + 00562 
 
 + 16 
 
 Constant : - 0*00500. 
 
 Constant : +o'ooo4o. Applied Constant : +0*00320. 
 
 The sum of the Equations of Tables XXXIII-XXXVI gives the Variation. 
 184 
 
 i 
 
 2 
 
 3 
 
 E 
 
 Equa- 
 tion 
 
 A 
 Qd-I 
 
 d 
 
 
 
 00 
 
 + -oooii 
 
 0,0 
 
 2 
 
 13 
 
 + 2,0 
 
 4 
 
 '9 
 
 4,o 
 
 6 
 
 29 
 
 5,8 
 
 8 
 
 42 
 
 7,3 
 
 1-0 
 
 58 
 
 8,5 
 
 1'2 
 
 + -00076 
 
 + 9,8 
 
 4 
 
 97 
 
 10,8 
 
 6 
 
 119 
 
 11,0 
 
 8 
 
 141 
 
 'i,3 
 
 20 
 
 164 
 
 n,3 
 
 2'2 
 
 + 00186 
 
 + 10,5 
 
 4 
 
 206 
 
 9,5 
 
 6 
 
 224 
 
 8,5 
 
 8 
 
 240 
 
 7,3 
 
 30 
 
 253 
 
 5,5 
 
 32 
 
 + 00262 
 
 + 3,5 
 
 4 
 
 267 
 
 + 1,8 
 
 6 
 
 269 
 
 0,0 
 
 8 
 
 267 
 
 - 2,3 
 
 40 
 
 260 
 
 4,3 
 
 42 
 
 + '00250 
 
 - 5,8 
 
 4 
 
 237 
 
 7,5 
 
 6 
 
 220 
 
 9> 
 
 8 
 
 201 
 
 9,8 
 
 50 
 
 181 
 
 10,5 
 
 52 
 
 + 00159 
 
 -n,3 
 
 4 
 
 136 
 
 n,3 
 
 6 
 
 114 
 
 11,0 
 
 8 
 
 92 
 
 10,5 
 
 60 
 
 72 
 
 9,5 
 
 62 
 
 + 00054 
 
 - 8,5 
 
 4 
 
 38 
 
 7,o 
 
 6 
 
 26 
 
 5,3 
 
 8 
 
 17 
 
 3,5 
 
 7'O 
 
 12 
 
 - i,5 
 
 72 
 
 -|-'OOOII 
 
 + 0,5 
 
 4 
 
 H 
 
 2,5 
 
 6 
 
 21 
 
 4,3 
 
 8 
 
 31 
 
 6,0 
 
 80 
 
 45 
 
 7,8 
 
 8-2 
 
 + '00062 
 
 + 9> 
 
 4 
 
 81 
 
 10,0 
 
 6 
 
 IO2 
 
 10,8 
 
 8 
 
 I2 4 
 
 11,0 
 
 90 
 
 146 
 
 n,3 
 
 9'2 
 
 + '00169 
 
 + 11,0 
 
 4 
 
 190 
 
 10,3 
 
 6 
 
 2IO 
 
 9,5 
 
 8 
 
 228 
 
 8,3 
 
 100 
 
 + 00243 
 
 + 6,8 
 
 Constant: +o'ooi4o. 
 
SATELLITE III 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XXXVII Equation of Latitude Argument O 
 
 I 
 
 
 
 3 
 
 4 
 
 - 
 
 2 
 
 3 
 
 4 
 
 i 
 
 2 
 
 3 
 
 4 
 
 I 
 
 2 
 
 3 
 
 4 
 
 o 
 
 Equation 
 
 A 
 O d 'OI 
 
 t* 
 
 
 
 Equation 
 
 A 
 
 * 
 
 O 
 
 Equation 
 
 A 
 O d 'OI 
 
 P 
 
 
 
 Equation 
 
 A 
 
 *' 
 
 d 
 
 
 
 
 d 
 
 
 
 
 d 
 
 
 
 
 d 
 
 
 
 
 000 
 
 0-90000 
 
 + 74 
 
 O 
 
 1 00 
 
 1-54888 
 
 + 474 
 
 - 3 
 
 2 00 
 
 172909 
 
 -'37 
 
 - 3 
 
 3 00 
 
 i^ogiS 
 
 -648 
 
 - 2 
 
 02 
 
 91479 
 
 740 
 
 O 
 
 02 
 
 1-55826 
 
 464 
 
 3 
 
 02 
 
 172622 
 
 150 
 
 3 
 
 02 
 
 29617 
 
 654 
 
 2 
 
 04 
 
 92959 
 
 739 
 
 o 
 
 O4 
 
 1-56743 
 
 453 
 
 3 
 
 04 
 
 172311 
 
 162 
 
 3 
 
 04 
 
 28304 
 
 660 
 
 2 
 
 06 
 
 '94437 
 
 739 
 
 o 
 
 06 
 
 1-57639 
 
 443 
 
 3 
 
 06 
 
 I7I973 
 
 '75 
 
 3 
 
 06 
 
 26978 
 
 666 
 
 
 OS 
 
 959H 
 
 738 
 
 o 
 
 OS 
 
 1-58515 
 
 433 
 
 3 
 
 OS 
 
 171610 
 
 188 
 
 3 
 
 08 
 
 25642 
 
 671 
 
 
 1O 
 
 97388 
 
 737 
 
 o 
 
 10 
 
 1-59369 
 
 422 
 
 3 
 
 1O 
 
 171222 
 
 2OI 
 
 3 
 
 10 
 
 24294 
 
 676 
 
 
 012 
 
 0-98861 
 
 + 736 
 
 o 
 
 1 12 
 
 1-60202 
 
 + 4" 
 
 - 3 
 
 2'12 
 
 170808 
 
 -213 
 
 3 
 
 312 
 
 2*937 
 
 -681 
 
 - 
 
 14 
 
 1-00331 
 
 734 
 
 
 
 14 
 
 1-61013 
 
 400 
 
 3 
 
 14 
 
 170369 
 
 226 
 
 3 
 
 14 
 
 21569 
 
 686 
 
 
 16 
 
 1-01798 
 
 733 
 
 
 
 16 
 
 1-61803 
 
 389 
 
 3 
 
 16 
 
 1-69905 
 
 238 
 
 3 
 
 16 
 
 20192 
 
 691 
 
 
 18 
 
 1-03262 
 
 73' 
 
 - I 
 
 18 
 
 1-62570 
 
 378 
 
 3 
 
 18 
 
 1-69417 
 
 250 
 
 3 
 
 18 
 
 18806 
 
 696 
 
 
 20 
 
 1-04721 
 
 728 
 
 I 
 
 20 
 
 1-63315 
 
 367 
 
 3 
 
 2O 
 
 1-68905 
 
 263 
 
 3 
 
 20 
 
 17410 
 
 700 
 
 
 022 
 
 1-06176 
 
 + 7*6 
 
 - I 
 
 1 22 
 
 1-64038 
 
 + 356 
 
 _ 3 
 
 222 
 
 1-68368 
 
 -275 
 
 - 3 
 
 3-22 
 
 16005 
 
 -704 
 
 
 
 24 
 
 1-07626 
 
 7*4 
 
 I 
 
 24 
 
 1-64737 
 
 344 
 
 3 
 
 24 
 
 1-67806 
 
 287 
 
 3 
 
 24 
 
 '4593 
 
 708 
 
 
 26 
 
 1-09069 
 
 7*' 
 
 I 
 
 26 
 
 1-65414 
 
 333 
 
 3 
 
 26 
 
 1-67221 
 
 299 
 
 3 
 
 26 
 
 - '3'74 
 
 711 
 
 
 28 
 
 1-10508 
 
 7'8 
 
 I 
 
 28 
 
 1-66067 
 
 3*' 
 
 3 
 
 28 
 
 i -666 1 1 
 
 3" 
 
 3 
 
 28 
 
 11748 
 
 7'5 
 
 
 30 
 
 1-11941 
 
 7'5 
 
 I 
 
 30 
 
 1-66697 
 
 39 
 
 3 
 
 30 
 
 1-65979 
 
 322 
 
 3 
 
 30 
 
 10315 
 
 718 
 
 
 32 
 
 1-13367 
 
 + 711 
 
 I 
 
 1 32 
 
 1-67302 
 
 + *97 
 
 3 
 
 2-32 
 
 1-65322 
 
 -334 
 
 - 3 
 
 332 
 
 08876 
 
 -7*i 
 
 - 
 
 34 
 
 1-14786 
 
 708 
 
 I 
 
 34 
 
 1-67884 
 
 285 
 
 3 
 
 34 
 
 1-64643 
 
 346 
 
 3 
 
 34 
 
 07431 
 
 7*4 
 
 
 36 
 
 1-16197 
 
 704 
 
 I 
 
 36 
 
 1-68441 
 
 273 
 
 3 
 
 36 
 
 1-63940 
 
 357 
 
 3 
 
 36 
 
 05980 
 
 7*7 
 
 
 38 
 
 1-17600 
 
 700 
 
 I 
 
 38 
 
 1-68975 
 
 261 
 
 3 
 
 38 
 
 1-63215 
 
 368 
 
 3 
 
 38 
 
 04524 
 
 7*9 
 
 
 40 
 
 1-18995 
 
 695 
 
 I 
 
 40 
 
 1-69484 
 
 249 
 
 3 
 
 40 
 
 1-62467 
 
 380 
 
 3 
 
 40 
 
 03064 
 
 73' 
 
 
 042 
 
 1-20380 
 
 + 690 
 
 I 
 
 1-42 
 
 1-69969 
 
 + 236 
 
 3 
 
 2-42 
 
 1-61696 
 
 -39' 
 
 - 3 
 
 3-42 
 
 01600 
 
 -733 
 
 - I 
 
 44 
 
 1-21756 
 
 686 
 
 I 
 
 44 
 
 170429 
 
 224 
 
 3 
 
 44 
 
 1-60904 
 
 402 
 
 3 
 
 44 
 
 00133 
 
 735 
 
 
 
 46 
 
 1-23122 
 
 681 
 
 I 
 
 46 
 
 170863 
 
 211 
 
 3 
 
 46 
 
 1-60089 
 
 4'3 
 
 3 
 
 46 
 
 0-98662 
 
 736 
 
 O 
 
 48 
 
 1-24479 
 
 676 
 
 I 
 
 48 
 
 1-71273 
 
 199 
 
 3 
 
 48 
 
 i'59253 
 
 423 
 
 3 
 
 48 
 
 97189 
 
 737 
 
 O 
 
 50 
 
 1-25825 
 
 670 
 
 2 
 
 50 
 
 171659 
 
 I8 7 
 
 3 
 
 50 
 
 1-58396 
 
 434 
 
 3 
 
 so 
 
 95713 
 
 738 
 
 o 
 
 052 
 
 1-27160 
 
 + 664 
 
 - I 
 
 1 52 
 
 1-72019 
 
 + '74 
 
 - 3 
 
 252 
 
 1-57518 
 
 -445 
 
 3 
 
 352 
 
 0-94237 
 
 -739 
 
 o 
 
 54 
 
 1-28482 
 
 659 
 
 I 
 
 54 
 
 17*354 
 
 161 
 
 3 
 
 54 
 
 1-56618 
 
 455 
 
 3 
 
 54 
 
 92757 
 
 740 
 
 o 
 
 56 
 
 1-29794 
 
 653 
 
 2 
 
 56 
 
 1-72663 
 
 148 
 
 3 
 
 56 
 
 1-55699 
 
 465 
 
 3 
 
 56 
 
 91278 
 
 740 
 
 o 
 
 58 
 
 1-31094 
 
 646 
 
 2 
 
 58 
 
 172947 
 
 135 
 
 3 
 
 58 
 
 '54758 
 
 475 
 
 3 
 
 58 
 
 89799 
 
 740 
 
 o 
 
 60 
 
 1-32381 
 
 640 
 
 2 
 
 60 
 
 173204 
 
 122 
 
 3 
 
 60 
 
 '53799 
 
 485 
 
 3 
 
 60 
 
 "88319 
 
 740 
 
 o 
 
 62 
 
 '33655 
 
 + 634 
 
 - 2 
 
 1 62 
 
 173436 
 
 + no 
 
 - 3 
 
 2-62 
 
 1-52820 
 
 -495 
 
 - 2 
 
 3-62 
 
 0-86841 
 
 o 
 
 -739 
 
 o 
 
 64 
 
 i'349'5 
 
 627 
 
 2 
 
 64 
 
 173643 
 
 97 
 
 3 
 
 64 
 
 1-51821 
 
 504 
 
 2 
 
 64 
 
 85362 
 
 739 
 
 o 
 
 66 
 
 1-36161 
 
 620 
 
 2 
 
 66 
 
 173824 
 
 84 
 
 3 
 
 66 
 
 i '50804 
 
 5'3 
 
 2 
 
 66 
 
 83886 
 
 738 
 
 o 
 
 68 
 7O 
 
 '37394 
 1-38611 
 
 613 
 
 605 
 
 2 
 2 
 
 68 
 7O 
 
 1-73978 
 174108 
 
 7* 
 58 
 
 3 
 3 
 
 68 
 70 
 
 1-49768 
 1-48713 
 
 523 
 532 
 
 2 
 2 
 
 68 
 70 
 
 82411 
 80939 
 
 737 
 736 
 
 o 
 
 
 
 072 
 
 1-39814 
 
 + 598 
 
 - 2 
 
 1-72 
 
 174210 
 
 + 45 
 
 - 3 
 
 272 
 
 1-47640 
 
 -541 
 
 - 2 
 
 372 
 
 079469 
 
 -735 
 
 o 
 
 74 
 
 1-41001 
 
 59 
 
 2 
 
 74 
 
 174.286 
 
 32 
 
 3 
 
 74 
 
 1-46549 
 
 55 
 
 2 
 
 74 
 
 78001 
 
 <C - O 
 
 733 
 
 + 
 
 76 
 78 
 80 
 
 1-42173 
 1-43328 
 1*44468 
 
 582 
 
 574 
 566 
 
 2 
 2 
 
 2 
 
 76 
 78 
 
 so 
 
 1-74336 
 174360 
 '7435 s 
 
 'I 
 
 + 6 
 
 - 8 
 
 3 
 3 
 
 3 
 
 76 
 78 
 80 
 
 '4544I 
 1-44316 
 
 '43I74 
 
 575 
 
 2 
 2 
 2 
 
 76 
 78 
 80 
 
 76538 
 75080 
 73626 
 
 730 
 
 7*8 
 726 
 
 
 0-82 
 84 
 86 
 88 
 90 
 
 ' '45 59' 
 1-46698 
 
 1-47786 
 1-48856 
 1-49908 
 
 + 558 
 
 549 
 540 
 
 53' 
 
 522 
 
 2 
 
 2 
 2 
 2 
 2 
 
 1-82 
 84 
 86 
 88 
 90 
 
 174330 
 1-74277 
 174197 
 1-74090 
 173958 
 
 - 20 
 33 
 47 
 60 
 
 73 
 
 - 3 
 
 3 
 3 
 3 
 3 
 
 282 
 84 
 
 36 
 88 
 
 90 
 
 1-42016 
 1-40842 
 1-39652 
 1-38448 
 1-37127 
 
 -583 
 59' 
 
 599 
 606 
 
 614 
 
 - 2 
 2 
 2 
 2 
 
 2 
 
 382 
 84 
 86 
 88 
 90 
 
 072178 
 70734 
 69296 
 67864 
 66439 
 
 -7*3 
 721 
 718 
 
 7'4 
 711 
 
 
 92 
 94 
 96 
 98 
 
 1 00 
 
 1-50942 
 1-51957 
 
 1-53930 
 1-54888 
 
 + 512 
 503 
 
 493 
 484 
 
 + 474 
 
 2 
 
 2 
 2 
 
 - 3 
 
 1-92 
 94 
 96 
 98 
 200 
 
 '73799 
 1-73616 
 
 173406 
 173171 
 1-72909 
 
 - 86 
 
 98 
 n i 
 124 
 -137 
 
 - 3 
 3 
 3 
 3 
 - 3 
 
 292 
 94 
 96 
 98 
 
 3 00 
 
 '35993 
 '34745 
 
 1-32207 
 1-30918 
 
 -621 
 
 628 
 
 635 
 641 
 -648 
 
 2 
 2 
 2 
 2 
 - 2 
 
 3-92 
 94 
 96 
 98 
 
 400 
 
 0-65022 
 63612 
 62211 
 60818 
 0-59433 
 
 -707 
 703 
 699 
 695 
 -690 
 
 
 Applied Constant : +0-90000. For Eclipses, and as the argument of Table XLV , tn< 
 
 Tables XXXVIII-XLII For the other phenomena Tables XLIII, XLIV must also be applied. 
 
 1*5 
 
SATELLITE III 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 Equation of Latitude Argument O 
 
 XXXVII continued 
 
 1 
 
 2 
 
 3 
 
 4 
 
 i 
 
 1 
 
 3 
 
 4 
 
 i 
 
 2 
 
 3 
 
 4 
 
 I 
 
 2 
 
 3 
 
 4 
 
 O 
 
 Equation 
 
 A 
 Qd'OI 
 
 iA2 
 
 
 
 Equation 
 
 A 
 Qd-OI 
 
 iA' 
 
 O 
 
 Equation 
 
 A 
 O d 'OI 
 
 JA' 
 
 
 
 Equation 
 
 A 
 O d 'OI 
 
 A 2 
 
 d 
 
 
 
 
 d 
 
 
 
 
 d 
 
 
 
 
 d 
 
 
 
 
 400 
 
 Q-59433 
 
 - 690 
 
 + I 
 
 5-00 
 
 0-09967 
 
 -235 
 
 + 3 
 
 600 
 
 o - i84io 
 
 + 3 9 2 
 
 + 3 
 
 7 00 
 
 0-78599 
 
 + 733 
 
 o 
 
 O2 
 
 58058 
 
 685 
 
 I 
 
 O2 
 
 9510 
 
 222 
 
 3 
 
 O2 
 
 19206 
 
 403 
 
 3 
 
 02 
 
 80067 
 
 735 
 
 O 
 
 04 
 
 56691 
 
 680 
 
 I 
 
 04 
 
 9078 
 
 2IO 
 
 3 
 
 O4 
 
 20023 
 
 4H 
 
 3 
 
 04 
 
 81538 
 
 736 
 
 o 
 
 06 
 
 5S338 
 
 6 75 
 
 1 
 
 06 
 
 8671 
 
 197 
 
 3 
 
 06 
 
 20862 
 
 425 
 
 3 
 
 06 
 
 83012 
 
 737 
 
 o 
 
 O8 
 
 '53993 
 
 670 
 
 I 
 
 O8 
 
 8289 
 
 I8 5 
 
 3 
 
 08 
 
 21722 
 
 436 
 
 3 
 
 08 
 
 84487 
 
 738 
 
 o 
 
 1O 
 
 51660 
 
 664 
 
 2 
 
 1O 
 
 7933 
 
 172 
 
 3 
 
 1O 
 
 22604 
 
 446 
 
 3 
 
 1O 
 
 85965 
 
 739 
 
 o 
 
 412 
 
 0-51338 
 
 -658 
 
 + 2 
 
 512 
 
 0-07602 
 
 -159 
 
 + 3 
 
 612 
 
 0-23505 
 
 + 456 
 
 + 3 
 
 712 
 
 0-87443 
 
 + 74 
 
 o 
 
 14 
 
 50028 
 
 6 5 2 
 
 2 
 
 14 
 
 7296 
 
 "47 
 
 3 
 
 14 
 
 24427 
 
 466 
 
 3 
 
 14 
 
 88924 
 
 740 
 
 o 
 
 16 
 
 48730 
 
 646 
 
 2 
 
 16 
 
 7016 
 
 '34 
 
 3 
 
 16 
 
 25369 
 
 47 6 
 
 3 
 
 16 
 
 90403 
 
 740 
 
 o 
 
 18 
 
 47445 
 
 639 
 
 2 
 
 18 
 
 6761 
 
 121 
 
 3 
 
 18 
 
 26332 
 
 486 
 
 3 
 
 18 
 
 91882 
 
 74 
 
 o 
 
 2O 
 
 46173 
 
 633 
 
 2 
 
 20 
 
 6 533 
 
 108 
 
 3 
 
 20 
 
 273H 
 
 496 
 
 2 
 
 20 
 
 93361 
 
 739 
 
 o 
 
 422 
 
 0-44915 
 
 -626 
 
 -1- 2 
 
 522 
 
 0-06330 
 
 - 95 
 
 + 3 
 
 622 
 
 0-28315 
 
 + 505 
 
 + 2 
 
 722 
 
 0-94838 
 
 + 739 
 
 o 
 
 24 
 
 43670 
 
 619 
 
 2 
 
 24 
 
 6155 
 
 82 
 
 3 
 
 24 
 
 29335 
 
 515 
 
 2 
 
 24 
 
 96315 
 
 738 
 
 o 
 
 26 
 
 4x440 
 
 612 
 
 2 
 
 26 
 
 6004 
 
 69 
 
 3 
 
 26 
 
 3374 
 
 524 
 
 2 
 
 26 
 
 97789 
 
 737 
 
 o 
 
 28 
 
 41224 
 
 604 
 
 2 
 
 28 
 
 5879 
 
 56 
 
 3 
 
 28 
 
 3H3i 
 
 533 
 
 2 
 
 28 
 
 99262 
 
 736 
 
 o 
 
 so 
 
 40024 
 
 597 
 
 2 
 
 SO 
 
 5779 
 
 43 
 
 3 
 
 30 
 
 32506 
 
 542 
 
 2 
 
 3O 
 
 1-00732 
 
 734 
 
 - I 
 
 4-32 
 
 0-38838 
 
 -589 
 
 + 2 
 
 5-32 
 
 0-05706 
 
 - 30 
 
 + 3 
 
 632 
 
 0-33599 
 
 + 55i 
 
 + 2 
 
 732 
 
 1-02198 
 
 + 732 
 
 _ 
 
 34 
 
 37669 
 
 58i 
 
 2 
 
 34 
 
 5 6 59 
 
 '7 
 
 3 
 
 34 
 
 34709 
 
 560 
 
 2 
 
 34 
 
 1-03660 
 
 730 
 
 
 36 
 
 36513 
 
 573 
 
 2 
 
 36 
 
 5638 
 
 - 4 
 
 3 
 
 36 
 
 35837 
 
 568 
 
 2 
 
 36 
 
 1-05118 
 
 728 
 
 
 38 
 
 '35377 
 
 564 
 
 2 
 
 38 
 
 5643 
 
 + 9 
 
 3 
 
 38 
 
 36981 
 
 576 
 
 2 
 
 38 
 
 1-06572 
 
 726 
 
 
 4O 
 
 34256 
 
 557 
 
 2 
 
 4O 
 
 5674 
 
 22 
 
 3 
 
 40 
 
 38142 
 
 585 
 
 2 
 
 40 
 
 i -08020 
 
 723 
 
 
 4-42 
 
 0-33152 
 
 -548 
 
 + 2 
 
 542 
 
 0-05731 
 
 + 36 
 
 + 3 
 
 642 
 
 0-39319 
 
 + 592 
 
 + 2 
 
 742 
 
 1-09462 
 
 + 720 
 
 _ 
 
 44 
 
 32066 
 
 539 
 
 2 
 
 44 
 
 5816 
 
 49 
 
 3 
 
 44 
 
 40510 
 
 600 
 
 2 
 
 44 
 
 1-10899 
 
 717 
 
 
 46 
 
 30998 
 
 530 
 
 2 
 
 46 
 
 59 Z 5 
 
 61 
 
 3 
 
 46 
 
 41718 
 
 608 
 
 2 
 
 46 
 
 1-12330 
 
 7H 
 
 
 48 
 
 29948 
 
 520 
 
 2 
 
 48 
 
 6060 
 
 74 
 
 3 
 
 48 
 
 42940 
 
 615 
 
 2 
 
 48 
 
 I-I3755 
 
 710 
 
 
 5O 
 
 28917 
 
 5" 
 
 2 
 
 so 
 
 6221 
 
 87 
 
 3 
 
 50 
 
 44177 
 
 622 
 
 2 
 
 50 
 
 1-15171 
 
 706 
 
 
 452 
 
 0-27905 
 
 -501 
 
 + 2 
 
 552 
 
 0-06409 
 
 + IOO 
 
 + 3 
 
 652 
 
 0-45427 
 
 + 629 
 
 + 2 
 
 752 
 
 1-16580 
 
 + 703 
 
 _ 
 
 54 
 
 26912 
 
 492 
 
 2 
 
 54 
 
 6623 
 
 113 
 
 3 
 
 54 
 
 46691 
 
 635 
 
 2 
 
 54 
 
 1-17981 
 
 699 
 
 
 56 
 
 25937 
 
 482 
 
 3 
 
 56 
 
 6862 
 
 126 
 
 3 
 
 56 
 
 47968 
 
 642 
 
 2 
 
 56 
 
 i'i9374 
 
 694 
 
 
 58 
 
 *49 8 3 
 
 472 
 
 3 
 
 58 
 
 7126 
 
 139 
 
 3 
 
 58 
 
 49258 
 
 648 
 
 2 
 
 58 
 
 1-20757 
 
 689 
 
 
 60 
 
 24049 
 
 462 
 
 3 
 
 6O 
 
 74'7 
 
 152 
 
 3 
 
 60 
 
 50561 
 
 655 
 
 2 
 
 6O 
 
 1-22130 
 
 684 
 
 
 462 
 
 0-23135 
 
 -45' 
 
 + 3 
 
 562 
 
 0-07733 
 
 + 165 
 
 + 3 
 
 662 
 
 0-51876 
 
 + 660 
 
 + I 
 
 762 
 
 1-23493 
 
 + 679 
 
 - 
 
 64 
 
 22241 
 
 442 
 
 3 
 
 64 
 
 8075 
 
 177 
 
 3 
 
 64 
 
 53202 
 
 666 
 
 2 
 
 64 
 
 1-24847 
 
 674 
 
 
 66 
 
 21369 
 
 43i 
 
 3 
 
 66 
 
 8442 
 
 190 
 
 3 
 
 66 
 
 5454 
 
 672 
 
 
 66 
 
 1-26189 
 
 669 
 
 
 68 
 
 20517 
 
 421 
 
 3 
 
 68 
 
 8834 
 
 202 
 
 3 
 
 68 
 
 55889 
 
 677 
 
 
 68 
 
 1-27521 
 
 663 
 
 2 
 
 7O 
 
 19687 
 
 410 
 
 3 
 
 70 
 
 9251 
 
 215 
 
 3 
 
 7O 
 
 57248 
 
 682 
 
 
 70 
 
 1-28841 
 
 657 
 
 2 
 
 472 
 
 0-18878 
 
 -399 
 
 + 3 
 
 572 
 
 0-09694 
 
 + 228 
 
 + 3 
 
 6'72 
 
 0-58617 
 
 + 687 
 
 + 
 
 7'72 
 
 1-30149 
 
 + 651 
 
 - 2 
 
 74 
 
 18092 
 
 388 
 
 3 
 
 74 
 
 10161 
 
 240 
 
 3 
 
 74 
 
 59996 
 
 692 
 
 
 74 
 
 i'3i445 
 
 645 
 
 2 
 
 76 
 
 17328 
 
 376 
 
 3 
 
 76 
 
 10652 
 
 252 
 
 3 
 
 76 
 
 61384 
 
 696 
 
 
 76 
 
 1-32728 
 
 638 
 
 2 
 
 78 
 
 16587 
 
 365 
 
 3 
 
 78 
 
 i 1167 
 
 264 
 
 3 
 
 78 
 
 62781 
 
 701 
 
 
 78 
 
 I-33998 
 
 632 
 
 2 
 
 80 
 
 15867 
 
 354 
 
 3 
 
 80 
 
 11708 
 
 276 
 
 3 
 
 8O 
 
 64186 
 
 705 
 
 
 8O 
 
 i'35255 
 
 625 
 
 2 
 
 482 
 
 0-15170 
 
 -343 
 
 + 3 
 
 5-82 
 
 0-12272 
 
 + 288 
 
 + 3 
 
 6-82 
 
 0-65599 
 
 + 708 
 
 + 
 
 782 
 
 1-36498 
 
 + 618 
 
 - 2 
 
 84 
 
 '4497 
 
 33' 
 
 3 
 
 84 
 
 12861 
 
 300 
 
 3 
 
 84 
 
 67019 
 
 712 
 
 
 84 
 
 1-37726 
 
 611 
 
 2 
 
 86 
 
 13847 
 
 319 
 
 3 
 
 86 
 
 '3473 
 
 312 
 
 3 
 
 86 
 
 68447 
 
 716 
 
 
 86 
 
 1-38940 
 
 603 
 
 2 
 
 88 
 
 13221 
 
 307 
 
 3 
 
 88 
 
 14110 
 
 3 2 4 
 
 3 
 
 88 
 
 69881 
 
 719 
 
 
 88 
 
 1-40138 
 
 596 
 
 2 
 
 90 
 
 12618 
 
 295 
 
 3 
 
 9O 
 
 14769 
 
 335 
 
 3 
 
 90 
 
 71321 
 
 721 
 
 
 90 
 
 1-41322 
 
 588 
 
 2 
 
 492 
 
 0*12040 
 
 -283 
 
 + 3 
 
 5-92 
 
 o-i545i 
 
 + 346 
 
 + 3 
 
 6-92 
 
 072766 
 
 + 724 
 
 + 
 
 792 
 
 1-42489 
 
 + 580 
 
 - 2 
 
 94 
 
 11485 
 
 271 
 
 3 
 
 94 
 
 16156 
 
 358 
 
 3 
 
 94 
 
 74218 
 
 727 
 
 
 94 
 
 1-43641 
 
 572 
 
 2 
 
 96 
 
 10955 
 
 259 
 
 3 
 
 96 
 
 16885 
 
 37 
 
 3 
 
 96 
 
 75674 
 
 729 
 
 + 
 
 96 
 
 1-44775 
 
 563 
 
 2 
 
 98 
 
 10448 
 
 247 
 
 3 
 
 98 
 
 17637 
 
 381 
 
 3 
 
 98 
 
 77135 
 
 73i 
 
 O 
 
 98 
 
 1-45893 
 
 555 
 
 2 
 
 500 
 
 0-09967 
 
 -235 
 
 + 3 
 
 600 
 
 0-18410 
 
 + 39 2 
 
 + 3 
 
 7OO 
 
 0-78599 
 
 + 733 
 
 O 
 
 800 
 
 1-46994 
 
 + 546 
 
 - 2 
 
 Applied Constant : +0-90000. For Eclipses, and as the argument of Table XLV, the Equation of this Table must be supplemented by those 
 
 of Tables XXXVIII-X1II. For the other phenomena Tables XLIII, XXIV must also be applied. 
 
 iM 
 
SATELLITE III 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XXXVIII Equation of Latitude Argument S 
 
 I 
 
 2 
 
 3 
 
 4 
 
 I 
 
 2 
 
 3 
 
 4 
 
 I 
 
 I 
 
 3 
 
 4 
 
 I 
 
 1 
 
 3 
 
 4 
 
 S 
 
 Equation 
 
 A 
 O d 'OI 
 
 JA 
 
 8 
 
 Equation 
 
 A 
 Qd-OI 
 
 A* 
 
 S 
 
 Equation 
 
 A 
 Qd-OI 
 
 *A2 
 
 S 
 
 Equation 
 
 A 
 O d 'OI 
 
 **' 
 
 d 
 
 
 
 
 d 
 
 
 
 
 d 
 
 
 
 
 d 
 
 
 
 
 000 
 
 0-08000 
 
 + 43,8 
 
 , 
 
 2-00 
 
 0-12897 
 
 - 8,1 
 
 - ,2 
 
 400 
 
 0-06190 
 
 -40,8 
 
 + ,1 
 
 600 
 
 0-03773 
 
 + *3>3 
 
 + ,2 
 
 04 
 
 8175 
 
 43,8 
 
 ,0 
 
 04 
 
 11861 
 
 9,6 
 
 ,2 
 
 04 
 
 6028 
 
 40,2 
 
 .1 
 
 O4 
 
 3868 
 
 24,4 
 
 ,2 
 
 O8 
 
 835> 
 
 43,8 
 
 ,0 
 
 08 
 
 12820 
 
 11,1 
 
 ,2 
 
 08 
 
 5868 
 
 39,6 
 
 ,1 
 
 08 
 
 3968 
 
 25,6 
 
 ,2 
 
 12 
 
 8525 
 
 43,5 
 
 ,0 
 
 12 
 
 12773 
 
 12,5 
 
 ,2 
 
 12 
 
 5711 
 
 38,9 
 
 ,1 
 
 12 
 
 473 
 
 26,9 
 
 ,1 
 
 16 
 
 8698 
 
 43,3 
 
 ,0 
 
 16 
 
 12720 
 
 H,' 
 
 ,2 
 
 16 
 
 5557 
 
 38,1 
 
 ,1 
 
 16 
 
 4183 
 
 28,0 
 
 ,* 
 
 20 
 
 8871 
 
 43,o 
 
 ,0 
 
 2O 
 
 12660 
 
 15,5 
 
 ,2 
 
 20 
 
 5406 
 
 37,4 
 
 ,1 
 
 20 
 
 4297 
 
 29,3 
 
 ,1 
 
 24 
 
 0-09042 
 
 + 42,8 
 
 ,0 
 
 2-24 
 
 0-12596 
 
 -16,8 
 
 - ,2 
 
 4-24 
 
 0-05258 
 
 -36,5 
 
 + ,1 
 
 624 
 
 0-04417 
 
 + 30,4 
 
 + ,1 
 
 28 
 
 9213 
 
 42,5 
 
 - ,1 
 
 28 
 
 12526 
 
 '8,3 
 
 ,2 
 
 28 
 
 5114 
 
 35,6 
 
 , 
 
 28 
 
 4540 
 
 31,5 
 
 ,1 
 
 32 
 
 9382 
 
 42,1 
 
 ,1 
 
 32 
 
 12450 
 
 19,8 
 
 ,2 
 
 32 
 
 4973 
 
 34,8 
 
 ,1 
 
 32 
 
 4669 
 
 32,6 
 
 ,1 
 
 36 
 
 95SO 
 
 41,6 
 
 ,1 
 
 36 
 
 12368 
 
 21,0 
 
 ,2 
 
 36 
 
 4836 
 
 33,9 
 
 ,1 
 
 36 
 
 4801 
 
 33,5 
 
 ,1 
 
 4O 
 
 97'5 
 
 41,0 
 
 ,1 
 
 40 
 
 12282 
 
 22,3 
 
 ,2 
 
 40 
 
 4702 
 
 32,8 
 
 ,1 
 
 40 
 
 4937 
 
 34,4 
 
 ,1 
 
 044 
 
 0-09878 
 
 + 4, 5 
 
 - ,1 
 
 244 
 
 0-12190 
 
 -23,6 
 
 - ,2 
 
 4-44 
 
 0-04574 
 
 -31,6 
 
 + I 
 
 644 
 
 0-05076 
 
 + 35,5 
 
 + ,1 
 
 48 
 
 10039 
 
 40,0 
 
 ,1 
 
 48 
 
 12093 
 
 25,1 
 
 ,2 
 
 48 
 
 4449 
 
 30,8 
 
 ,2 
 
 48 
 
 5221 
 
 36,5 
 
 ,1 
 
 52 
 
 10198 
 
 39,3 
 
 ,1 
 
 52 
 
 11989 
 
 26,5 
 
 ,2 
 
 52 
 
 4328 
 
 29,6 
 
 ,2 
 
 52 
 
 5368 
 
 37,i 
 
 ,1 
 
 56 
 
 i353 
 
 38,5 
 
 ,1 
 
 56 
 
 11881 
 
 27,5 
 
 ,2 
 
 56 
 
 4212 
 
 28,4 
 
 ,1 
 
 56 
 
 5518 
 
 37,8 
 
 ,1 
 
 eo 
 
 10506 
 
 37,9 
 
 ,1 
 
 6O 
 
 11769 
 
 28,5 
 
 ,1 
 
 60 
 
 4101 
 
 27,3 
 
 ,2 
 
 6O 
 
 5670 
 
 38,6 
 
 ,1 
 
 64 
 
 0-10656 
 
 + 37,o 
 
 - ,1 
 
 264 
 
 0-11653 
 
 -29,8 
 
 - ,2 
 
 4-64 
 
 0-03994 
 
 -26,1 
 
 + ,* 
 
 6-64 
 
 0-05827 
 
 + 39,4 
 
 + ,1 
 
 68 
 
 10802 
 
 36,i 
 
 ,1 
 
 68 
 
 11531 
 
 30,9 
 
 ,1 
 
 68 
 
 3892 
 
 24,8 
 
 ,2 
 
 68 
 
 5985 
 
 40,0 
 
 ,1 
 
 72 
 
 10945 
 
 35,3 
 
 ,1 
 
 72 
 
 11406 
 
 31,9 
 
 | 
 
 72 
 
 3796 
 
 23,5 
 
 ,2 
 
 72 
 
 6147 
 
 40,6 
 
 ,1 
 
 76 
 
 11084 
 
 34,4 
 
 ,1 
 
 76 
 
 11276 
 
 33,o 
 
 | 
 
 76 
 
 3704 
 
 22,1 
 
 ,2 
 
 76 
 
 6310 
 
 4i, 
 
 ,1 
 
 80 
 
 II22O 
 
 33,5 
 
 ,1 
 
 8O 
 
 11142 
 
 33,9 
 
 ) 
 
 8O 
 
 3619 
 
 20,8 
 
 ,2 
 
 80 
 
 6476 
 
 41,8 
 
 + ,1 
 
 084 
 
 0-II352 
 
 + 32,4 
 
 - >I 
 
 284 
 
 0-11005 
 
 -35,0 
 
 _ 
 
 4-84 
 
 0-03538 
 
 -19,5 
 
 + ,2 
 
 684 
 
 0-06644 
 
 + 42,5 
 
 ,o 
 
 88 
 
 II479 
 
 3M 
 
 ,1 
 
 88 
 
 10862 
 
 35,9 
 
 1 
 
 88 
 
 3463 
 
 18,1 
 
 ,2 
 
 88 
 
 6815 
 
 42,8 
 
 ,0 
 
 92 
 
 II6O2 
 
 30,3 
 
 ,1 
 
 92 
 
 10718 
 
 36,5 
 
 | 
 
 92 
 
 3393 
 
 1 6,8 
 
 ,2 
 
 92 
 
 6986 
 
 42,8 
 
 ,o 
 
 96 
 
 H72I 
 
 29,3 
 
 ,1 
 
 96 
 
 10570 
 
 374 
 
 | 
 
 96 
 
 3329 
 
 15,3 
 
 ,2 
 
 96 
 
 7157 
 
 43,o 
 
 ,0 
 
 1 00 
 
 11836 
 
 28,0 
 
 I 2 
 
 300 
 
 10419 
 
 38,3 
 
 | 
 
 5 00 
 
 3271 
 
 13,8 
 
 ,2 
 
 7-OO 
 
 7330 
 
 43,3 
 
 ,0 
 
 1-04 
 
 0-II945 
 
 + 26,6 
 
 - ,2 
 
 3-04 
 
 0-10264 
 
 -39,0 
 
 I 
 
 5 04 
 
 0-03219 
 
 -12,3 
 
 + ,2 
 
 704 
 
 0-07503 
 
 + 43,5 
 
 ,0 
 
 08 
 
 12049 
 
 *5,5 
 
 ,2 
 
 OS 
 
 10107 
 
 39,6 
 
 ) 
 
 OS 
 
 3173 
 
 10,9 
 
 ,* 
 
 08 
 
 7678 
 
 43,8 
 
 ,0 
 
 12 
 
 I2I49 
 
 24,3 
 
 ,2 
 
 12 
 
 9947 
 
 4,3 
 
 ) 
 
 12 
 
 3132 
 
 9,5 
 
 ,2 
 
 12 
 
 7853 
 
 43,8 
 
 ,0 
 
 16 
 
 12243 
 
 22,9 
 
 ,2 
 
 16 
 
 9785 
 
 4>9 
 
 | 
 
 16 
 
 3097 
 
 7,9 
 
 ,2 
 
 16 
 
 8028 
 
 43,8 
 
 ,o 
 
 2O 
 
 12332 
 
 21,6 
 
 ,2 
 
 20 
 
 9620 
 
 4', 5 
 
 | 
 
 20 
 
 3069 
 
 6,3 
 
 ,2 
 
 20 
 
 8203 
 
 43,8 
 
 ,0 
 
 1-24 
 
 0'124l6 
 
 + 20,4 
 
 - ,2 
 
 3-24 
 
 0-09453 
 
 -4',9 
 
 ~~ J 
 
 524 
 
 i 0*03047 
 
 - 4,8 
 
 + ,2 
 
 724 
 
 0-08378 
 
 + 43,8 
 
 ,0 
 
 28 
 
 12495 
 
 19,0 
 
 ,2 
 
 28 
 
 9285 
 
 42,3 
 
 I 
 
 28 
 
 3031 
 
 3,3 
 
 ,2 
 
 28 
 
 8553 
 
 43,5 
 
 ,0 
 
 32 
 
 12568 
 
 7,5 
 
 ,2 
 
 32 
 
 9115 
 
 42,6 
 
 J 
 
 32 
 
 3021 
 
 1,6 
 
 ,2 
 
 32 
 
 8726 
 
 43,3 
 
 ,0 
 
 36 
 
 12635 
 
 1 6,0 
 
 ,2 
 
 36 
 
 8944 
 
 43,o 
 
 ~" J 
 
 36 
 
 3018 
 
 - o.i 
 
 ,2 
 
 36 
 
 8899 
 
 43,o 
 
 ,o 
 
 40 
 
 12696 
 
 H,5 
 
 ,2 
 
 40 
 
 8771 
 
 43,3 
 
 ,0 
 
 40 
 
 3020 
 
 + i,3 
 
 ,2 
 
 4O 
 
 9070 
 
 42,8 
 
 ,o 
 
 1 44 
 
 0'1275I 
 
 + >3,i 
 
 - ,2 
 
 344 
 
 0-08598 
 
 -43,4 
 
 ,0 
 
 544 
 
 0-03028 
 
 + 2,8 
 
 + ,2 
 
 7-44 
 
 0x39241 
 
 + 4,5 
 
 ,o 
 
 48 
 
 I280I 
 
 11,8 
 
 ,2 
 
 48 
 
 8424 
 
 43,6 
 
 ,o 
 
 48 
 
 3042 
 
 4,4 
 
 ,2 
 
 48 
 
 9410 
 
 42,0 
 
 - ,1 
 
 52 
 
 12845 
 
 10,3 
 
 ,2 
 
 52 
 
 8249 
 
 43,8 
 
 ,0 
 
 52 
 
 3063 
 
 6,0 
 
 ,* 
 
 52 
 
 9577 
 
 41,4 
 
 ,1 
 
 56 
 
 12883 
 
 8,8 
 
 ,2 
 
 56 
 
 8074 
 
 43,8 
 
 ,0 
 
 56 
 
 3090 
 
 7,5 
 
 ,2 
 
 56 
 
 974' 
 
 40,9 
 
 ,1 
 
 60 
 
 I29I5 
 
 7,3 
 
 ,2 
 
 60 
 
 7899 
 
 43,8 
 
 ,0 
 
 60 
 
 3123 
 
 8,9 
 
 ,2 
 
 6O 
 
 9904 
 
 40,4 
 
 ,1 
 
 1-64 
 
 0-12941 
 
 + 5,6 
 
 - ,2 
 
 364 
 
 0-07724 
 
 -43,8 
 
 ,0 
 
 5-64 
 
 0-03161 
 
 + 10,4 
 
 + ,2 
 
 7-64 
 
 0-10064 
 
 + 39.8 
 
 - ,1 
 
 68 
 
 12960 
 
 4,i 
 
 ,2 
 
 68 
 
 7549 
 
 43,6 
 
 ,0 
 
 68 
 
 3206 
 
 12,0 
 
 ,2 
 
 68 
 
 IO222 
 
 39,' 
 
 ,1 
 
 72 
 
 12974 
 
 2,6 
 
 ,2 
 
 72 
 
 7375 
 
 43,4 
 
 ,0 
 
 72 
 
 3257 
 
 '3,4 
 
 ,2 
 
 72 
 
 10377 
 
 38,4 
 
 Q 
 
 ,1 
 
 76 
 
 so 
 
 12981 
 12983 
 
 + 1,1 
 
 - ,4 
 
 ,2 
 
 ,2 
 
 76 
 
 80 
 
 7202 
 7029 
 
 43,3 
 43,o 
 
 ,0 
 
 + ,1 
 
 76 
 80 
 
 3313 
 3376 
 
 '4,9 
 16,5 
 
 ,2 
 ,* 
 
 76 
 80 
 
 10529 
 10679 
 
 37,8 
 37,o 
 
 ,1 
 ,1 
 
 1 84 
 88 
 
 0*12978 
 12967 
 
 - 2,0 
 
 3,5 
 
 - ,2 
 ,2 
 
 3-84 
 88 
 
 0-06858 
 6688 
 
 -42,6 
 42,3 
 
 + , 
 
 1 
 
 584 
 88 
 
 0-03445 
 35i8 
 
 + 17,8 
 '9, 1 
 
 + ,2 
 ,2 
 
 7-84 
 
 88 
 
 0-I0825 
 10967 
 
 + 36,0 
 35,3 
 
 - ,1 
 ,1 
 
 92 
 
 12950 
 
 5> 
 
 ,2 
 
 92 
 
 6520 
 
 41,8 
 
 1 
 
 92 
 
 359 s 
 
 20,5 
 
 ,2 
 
 92 
 
 ' I I I O7 
 
 34,5 
 
 ,1 
 
 96 
 
 12927 
 
 6,6 
 
 ,Z 
 
 96 
 
 6354 
 
 4''3 
 
 1 
 
 96 
 
 3682 
 
 21,9 
 
 ,2 
 
 96 
 
 II243 
 
 33,3 
 
 ,2 
 
 200 
 
 0-12897 
 
 - 8,1 
 
 - ,2 
 
 400 
 
 0-06190 
 
 -40,8 
 
 + , 
 
 600 
 
 0-03773 
 
 + 23,3 
 
 + ,2 
 
 8-00 
 
 0-II373 
 
 + 32,0 
 
 - ,2 
 
 Applied Constant : +o'o8ooo. 
 187 
 
SATELLITE III 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 Equations of Latitude 
 
 XXXIX 
 
 XL 
 
 I 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 T 
 
 Equation 
 
 A 
 O d- OI 
 
 T 
 
 Equation 
 
 ^ A 
 Qd'OI 
 
 d 
 000 
 
 0-00900 
 
 -3,9 
 
 d 
 
 4OO 
 
 0-01063 
 
 + 3,7 
 
 08 
 
 869 
 
 3,9 
 
 08 
 
 1092 
 
 3,6 
 
 16 
 
 837 
 
 3,9 
 
 16 
 
 I I2O 
 
 3,4 
 
 24 
 
 806 
 
 3,8 
 
 24 
 
 1147 
 
 3,3 
 
 32 
 
 776 
 
 3,8 
 
 32 
 
 1 172 
 
 3,' 
 
 4O 
 
 746 
 
 3,7 
 
 4O 
 
 1196 
 
 2,9 
 
 048 
 
 0-00717 
 
 -3,6 
 
 4-48 
 
 0-01219 
 
 + 2,8 
 
 56 
 
 689 
 
 3,4 
 
 56 
 
 1240 
 
 2,6 
 
 64 
 
 662 
 
 3,3 
 
 64 
 
 1260 
 
 2 >4 
 
 72 
 
 636 
 
 3,2 
 
 72 
 
 1278 
 
 2,' 
 
 so 
 
 611 
 
 3, 
 
 8O 
 
 1294 
 
 ',8 
 
 088 
 
 0-00588 
 
 -2,8 
 
 488 
 
 0-01307 
 
 + 1,6 
 
 96 
 
 566 
 
 2,6 
 
 96 
 
 1319 
 
 ',4 
 
 1-O4 
 
 546 
 
 *,4 
 
 5 04 
 
 1329 
 
 i,' 
 
 12 
 
 528 
 
 2,2 
 
 12 
 
 '337 
 
 0,8 
 
 2O 
 
 5'i 
 
 J ,9 
 
 20 
 
 1342 
 
 0,6 
 
 1 28 
 
 0-00497 
 
 -1,7 
 
 528 
 
 0-01346 
 
 + o,3 
 
 36 
 
 484 
 
 ',4 
 
 36 
 
 '347 
 
 0,0 
 
 44 
 
 474 
 
 i, 2 
 
 44 
 
 1346 
 
 -0,3 
 
 52 
 
 465 
 
 >9 
 
 52 
 
 '343 
 
 0,6 
 
 6O 
 
 459 
 
 0,6 
 
 60 
 
 '337 
 
 0,8 
 
 1 68 
 
 0-00455 
 
 -0,4 
 
 5-68 
 
 0-01330 
 
 -', ' 
 
 76 | 453 
 
 -0,1 
 
 76 
 
 1320 
 
 1,4 
 
 84 454 
 
 + 0,2 
 
 84 
 
 1308 
 
 1,6 
 
 92 
 
 456 
 
 ,4 
 
 92 
 
 1294 
 
 1,8 
 
 200 
 
 461 
 
 o,7 
 
 600 
 
 1279 
 
 2 ,I 
 
 2 O8 0-00468 
 
 + 1,0 
 
 608 
 
 0-01261 
 
 -2,3 
 
 16 
 
 477 
 
 i,3 
 
 16 
 
 1242 
 
 2,5 
 
 24 
 
 488 
 
 i,5 
 
 24 
 
 1221 
 
 2,8 
 
 32 
 
 501 
 
 1,8 
 
 32 
 
 1198 
 
 2 >9 
 
 4O 
 
 516 
 
 2,0 
 
 40 
 
 "74 
 
 3,' 
 
 248 
 
 0-00533 
 
 + 2,3 
 
 648 
 
 0*01148 
 
 -3,3 
 
 56 
 
 55 2 
 
 *,5 
 
 56 
 
 I 121 
 
 3,4 
 
 64 
 
 573 
 
 2 ,7 
 
 64 
 
 1094 
 
 3,5 
 
 72 
 
 595 
 
 2,9 
 
 72 
 
 1065 
 
 3,7 
 
 SO 
 
 619 
 
 3,1 
 
 SO 
 
 1035 
 
 3,8 
 
 288 
 
 0-00644 
 
 + 3,2 
 
 6-88 
 
 O-OIOO5 
 
 -3,8 
 
 96 
 
 670 
 
 3,4 
 
 96 
 
 974 
 
 3,9 
 
 3-04 
 
 698 
 
 3,5 
 
 704 
 
 943 
 
 3,9 
 
 12 
 
 726 
 
 3,6 
 
 12 
 
 912 
 
 3,9 
 
 2O 
 
 755 
 
 3,7 
 
 20 
 
 880 
 
 3,9 
 
 328 
 
 0-00785 
 
 + 3,8 
 
 728 
 
 0-00849 
 
 -3,9 
 
 36 
 
 816 
 
 3,9 
 
 36 
 
 818 
 
 3,9 
 
 44 
 
 847 
 
 3,9 
 
 44 
 
 787 
 
 3,8 
 
 52 
 
 878 
 
 3,9 
 
 52 
 
 757 
 
 3,7 
 
 6O 
 
 910 
 
 3,9 
 
 60 
 
 728 
 
 3,6 
 
 368 
 
 0-00941 
 
 + 3,9 
 
 768 
 
 0-00699 
 
 -3,5 
 
 76 
 
 972 
 
 3,9 
 
 76 
 
 672 
 
 3,4 
 
 84 
 
 1003 
 
 3,8 
 
 84 
 
 645 
 
 3,3 
 
 92 
 
 1033 
 
 3,8 
 
 92 
 
 620 
 
 i,i 
 
 4OO 
 
 0-01063 
 
 + 3,7 
 
 800 
 
 0*00596 
 
 Jl 
 
 -2,9 
 
 Applied Constant : +0*00900. 
 
 i 
 
 2 
 
 3 
 
 . 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 U 
 
 Equation 
 
 A 
 O d 'OI 
 
 U 
 
 Equation 
 
 A 
 0<i-OI 
 
 U 
 
 Equation 
 
 A 
 O d '00 
 
 d 
 
 
 
 d 
 
 
 
 d 
 
 
 
 000 
 
 O'OIOOO 
 
 + 8,6 
 
 250 
 
 0-01790 
 
 -5,o 
 
 500 
 
 0-00076 
 
 -2,7 
 
 05 
 
 1043 
 
 8,5 
 
 55 
 
 1764 
 
 5,3 
 
 05 
 
 63 
 
 2,4 
 
 10 
 
 1085 
 
 8,5 
 
 60 
 
 1737 
 
 5,6 
 
 1O 
 
 52 
 
 ',9 
 
 15 
 
 1128 
 
 8,5 
 
 65 
 
 1708 
 
 5,9 
 
 15 
 
 44 
 
 1,6 
 
 20 
 
 1170 
 
 8,4 
 
 7O 
 
 1678 
 
 6,1 
 
 20 
 
 36 
 
 ',3 
 
 25 
 
 ISIS 
 
 8,4 
 
 75 
 
 1647 
 
 6,4 
 
 25 
 
 3' 
 
 0,8 
 
 030 
 
 0-01254 
 
 + 8,3 
 
 280 
 
 0-01614 
 
 -6,7 
 
 5-30 
 
 0-00028 
 
 -,5 
 
 35 
 
 1295 
 
 8,1 
 
 85 
 
 1580 
 
 6,8 
 
 35 
 
 26 
 
 -0,2 
 
 40 
 
 '335 
 
 8,0 
 
 9O 
 
 1546 
 
 7,' 
 
 40 
 
 26 
 
 + 0,3 
 
 45 
 
 '375 
 
 8,0 
 
 95 
 
 1509 
 
 7,3 
 
 45 
 
 2 9 
 
 ,7 
 
 50 
 
 1415 
 
 7,8 
 
 3'OO 
 
 '473 
 
 7,4 
 
 SO 
 
 33 
 
 1,0 
 
 O-55 
 
 0-01453 
 
 + 7,5 
 
 305 
 
 0-01435 
 
 -7,7 
 
 5'55 
 
 0-00039 
 
 + i,4 
 
 60 
 
 1490 
 
 7,3 
 
 10 
 
 1396 
 
 7,8 
 
 60 
 
 47 
 
 ',7 
 
 65 
 
 1526 
 
 7,2 
 
 15 
 
 '357 
 
 7,9 
 
 65 
 
 56 
 
 2,1 
 
 70 
 
 1562 
 
 7, 
 
 2O 
 
 I3'7 
 
 8,' 
 
 7O 
 
 68 
 
 2 >5 
 
 75 
 
 1596 
 
 6,7 
 
 25 
 
 1276 
 
 8,2 
 
 75 
 
 81 
 
 2,8 
 
 080 
 
 0-01629 
 
 + 6,5 
 
 330 
 
 0-01235 
 
 -8,3 
 
 5 SO 
 
 0-00096 
 
 + 3,2 
 
 85 
 
 1661 
 
 6,3 
 
 35 
 
 1193 
 
 8,4 
 
 85 
 
 "3 
 
 3,6 
 
 90 
 
 1692 
 
 6,0 
 
 40 
 
 1151 
 
 8,4 
 
 90 
 
 132 
 
 3,9 
 
 95 
 
 1721 
 
 5,8 
 
 45 
 
 1 109 
 
 8,5 
 
 95 
 
 152 
 
 4, 1 
 
 1 00 
 
 1750 
 
 5,5 
 
 50 
 
 1066 
 
 8,6 
 
 600 
 
 '73 
 
 4,5 
 
 1-O5 
 
 0-01776 
 
 + 5,' 
 
 3'55 
 
 0-01023 
 
 -8,6 
 
 605 
 
 0-00197 
 
 + 4, 8 
 
 10 
 
 1801 
 
 4,8 
 
 60 
 
 980 
 
 8,6 
 
 1O 
 
 221 
 
 5,' 
 
 15 
 
 1824 
 
 4,6 
 
 65 
 
 937 
 
 8,5 
 
 15 
 
 248 
 
 5,5 
 
 20 
 
 1847 
 
 4,3 
 
 70 
 
 895 
 
 8,5 
 
 20 
 
 2 7 6 
 
 5,7 
 
 25 
 
 1867 
 
 3,9 
 
 75 
 
 852 
 
 8,4 
 
 25 
 
 305 
 
 6,0 
 
 1 30 
 
 0-01886 
 
 + 3,6 
 
 3-80 
 
 0-0081 1 
 
 -8,3 
 
 6 30 
 
 0-00336 
 
 + 6,3 
 
 35 
 
 1903 
 
 3,2 
 
 85 
 
 769 
 
 8,3 
 
 35 
 
 368 
 
 6,5 
 
 4O 
 
 1918 
 
 2,8 
 
 9O 
 
 728 
 
 8,2 
 
 40 
 
 4 OI 
 
 6,7 
 
 45 
 
 1931 2,4 
 
 95 
 
 687 
 
 8,1 
 
 45 
 
 435 
 
 6,9 
 
 50 
 
 1942 
 
 2,1 
 
 400 
 
 647 
 
 8,0 
 
 50 
 
 470 
 
 7,2 
 
 1 55 
 
 0-01952 
 
 + 1,8 
 
 405 
 
 0-00607 
 
 -7,9 
 
 655 
 
 0-00507 
 
 + 7,4 
 
 6O 
 
 1960 
 
 1,5 
 
 10 
 
 568 
 
 7,7 
 
 60 
 
 544 
 
 7,6 
 
 65 
 
 1967 
 
 ', ' 
 
 15 
 
 530 
 
 7,5 
 
 65 
 
 583 
 
 7,8 
 
 7O 
 
 1971 
 
 o,7 
 
 2O 
 
 493 
 
 7,3 
 
 7O 
 
 622 
 
 7,8 
 
 75 
 
 '974 
 
 + 0,3 
 
 25 
 
 457 
 
 7,' 
 
 75 
 
 66 1 
 
 8,0 
 
 1 80 
 
 0-01974 
 
 -0,1 
 
 430 
 
 0-00422 
 
 -6,8 
 
 6 80 
 
 0-00702 
 
 + 8,2 
 
 85 
 
 '973 
 
 o,5 
 
 35 
 
 389 
 
 6,6 
 
 85 
 
 743 
 
 8,3 
 
 9O 
 
 1969 
 
 0,8 
 
 4O 
 
 356 
 
 6,4 
 
 90 
 
 785 
 
 8,4 
 
 95 
 
 1964 
 
 ',2 
 
 45 
 
 325 
 
 6,2 
 
 95 
 
 827 
 
 8,3 
 
 2 00 
 
 '957 
 
 1,6 
 
 so 
 
 294 
 
 5,9 
 
 700 
 
 868 
 
 8,4 
 
 205 
 
 0-01948 
 
 -',9 
 
 455 
 
 0-00266 
 
 -5,6 
 
 7 'OS 
 
 0-00911 
 
 + 8,5 
 
 1O 
 
 1938 
 
 2 ,3 
 
 6O 
 
 238 
 
 5,4 
 
 10 
 
 953 
 
 8,5 
 
 15 
 
 1925 
 
 2,7 
 
 65 
 
 212 
 
 5,' 
 
 15 
 
 996 
 
 8,6 
 
 2O 
 
 1911 
 
 3,o 
 
 70 
 
 I8 7 
 
 4,7 
 
 20 
 
 1039 
 
 8,6 
 
 25 
 
 1895 
 
 3,3 
 
 75 
 
 I6 5 
 
 4,3 
 
 25 
 
 1082 
 
 8,5 
 
 2 SO 
 
 0-01878 
 
 -3,7 
 
 480 
 
 O-OOI44 
 
 -4,i 
 
 73O 
 
 0-01124 
 
 + 8,4 
 
 35 
 
 1858 
 
 4,' 
 
 85 
 
 124 
 
 3-8 
 
 35 
 
 1166 
 
 8,5 
 
 40 
 
 1837 
 
 4,4 
 
 90 
 
 I 06 
 
 3.4 
 
 40 
 
 1209 
 
 8,4 
 
 45 
 
 1814 
 
 4,7 
 
 95 
 
 9 
 
 3,o 
 
 45 
 
 1250 
 
 8,3 
 
 2 SO 
 
 0-01790 
 
 -5,o 
 
 500 
 
 0-00076 
 
 -2,7 
 
 750 
 
 0-01292 
 
 + 8,2 
 
 Applied Constant : -f-o'oiooo. 
 
 188 
 
SATELLITE III 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XLI Equations of Latitude Argument V 
 
 I 
 
 2 
 
 i 
 
 2 
 
 i 
 
 2 
 
 i 
 
 2 
 
 V 
 
 Equation 
 
 V 
 
 Equation 
 
 V 
 
 Equation 
 
 V 
 
 Equation 
 
 d 
 
 
 d 
 
 
 d 
 
 
 d 
 
 
 oo 
 
 0-00080 
 
 20 
 
 0-00130 
 
 40 
 
 0-00062 
 
 60 
 
 0-00036 
 
 1 
 
 85 
 
 1 
 
 129 
 
 i 
 
 58 
 
 1 
 
 39 
 
 2 
 
 89 
 
 2 
 
 128 
 
 2 
 
 54 
 
 2 
 
 4' 
 
 3 
 
 93 
 
 3 
 
 126 
 
 3 
 
 5' 
 
 3 
 
 44 
 
 4 
 
 98 
 
 4 
 
 124 
 
 4 
 
 47 
 
 4 
 
 48 
 
 5 
 
 102 
 
 5 
 
 122 
 
 5 
 
 43 
 
 5 
 
 52 
 
 06 
 
 0-00106 
 
 2-6 
 
 o-ooi 19 
 
 4'6 
 
 0-00040 
 
 6-6 
 
 0-00056 
 
 7 
 
 109 
 
 7 
 
 116 
 
 7 
 
 38 
 
 7 
 
 59 
 
 8 
 
 "3 
 
 8 
 
 112 
 
 8 
 
 36 
 
 8 
 
 63 
 
 9 
 
 116 
 
 9 
 
 109 
 
 9 
 
 33 
 
 9 
 
 68 
 
 10 
 
 119 
 
 3-0 
 
 106 
 
 50 
 
 3' 
 
 7O 
 
 72 
 
 11 
 
 0'OOI2I 
 
 3-1 
 
 O'OOIOI 
 
 5-1 
 
 0-00030 
 
 7-1 
 
 0-00076 
 
 2 
 
 124 
 
 2 
 
 97 
 
 2 
 
 3 
 
 2 
 
 ll 
 
 3 
 
 126 
 
 3 
 
 93 
 
 3 
 
 29 
 
 3 
 
 86 
 
 4 
 
 128 
 
 4 
 
 88 
 
 4 
 
 2 9 
 
 4 
 
 90 
 
 5 
 
 I 3 
 
 5 
 
 84 
 
 5 
 
 29 
 
 5 
 
 94 
 
 16 
 
 0'OOI3O 
 
 36 
 
 0-00080 
 
 5-6 
 
 0-00030 
 
 76 
 
 0-00098 
 
 7 
 
 IS' 
 
 7 
 
 75 
 
 7 
 
 3' 
 
 7 
 
 103 
 
 8 
 
 IS' 
 
 8 
 
 70 
 
 8 
 
 32 
 
 8 
 
 107 
 
 9 
 
 '3i 
 
 9 
 
 66 
 
 9 
 
 34 
 
 9 
 
 no 
 
 20 
 
 0-00130 
 
 40 
 
 0-00062 
 
 60 
 
 0-00036 
 
 SO 
 
 0-00114 
 
 Applied Constant : +-00080. 
 
 XLII 
 
 Arguments O, 
 
 \o 
 
 a \ 
 
 O d -0 O d 4 O d 8 
 
 t d. 2 t d. e 2 d -o 
 
 2 d -4 2 d> 8 3 d '2 
 
 3 d 6 4 d 4 d 4 
 
 4 d '8 5 d -2 5 d -6 
 
 60 gd-4. 6 d. 8 
 
 7 d -2 7 d 6 8 d O 
 
 d 
 
 O 
 
 20 2O 21 
 
 21 21 21 
 
 21 21 2O 
 
 20 2O 19 
 
 19 19 19 
 
 19 19 20 
 
 20 20 20 
 
 2OO 
 
 25 2 4 23 
 
 23 22 2O 
 
 19 17 16 
 
 15 16 17 
 
 17 18 20 
 
 21 23 24 
 
 25 24 23 
 
 400 
 
 29 28 27 
 
 2 4 23 I 9 
 
 16 13 12 
 
 II 12 14 
 
 16 18 21 
 
 24 27 28 
 
 29 28 27 
 
 600 
 
 32 3 I 29 
 
 26 23 19 
 
 14 ii 9 
 
 8911 
 
 14 18 21 
 
 26 29 31 
 
 32 31 29 
 
 800 
 
 35 34 3i 
 
 2 7 23 17 
 
 13 9 6 
 
 5 6 9 
 
 13 18 23 
 
 27 3i 34 
 
 35 34 3' 
 
 1OOO 
 
 36 35 32 
 
 28 23 17 
 
 1285 
 
 4 5 8 
 
 12 18 23 
 
 28 32 35 
 
 36 35 32 
 
 12OO 
 
 3 6 35 32 
 
 28 23 17 
 
 12 8 5 
 
 4 5 8 
 
 12 18 23 
 
 28 32 35 
 
 36 35 32 
 
 1400 
 
 34 33 3i 
 
 27 22 17 
 
 13 9 7 
 
 679 
 
 13 '8 23 
 
 *7 3i 33 
 
 34 33 3i 
 
 1600 
 
 32 31 29 
 
 26 21 17 
 
 14 ii 9 
 
 8 911 
 
 14 19 23 
 
 26 29 31 
 
 3* 3' *9 
 
 1800 
 
 28 28 26 
 
 24 21 17 
 
 16 14 12 
 
 12 12 14 
 
 16 20 23 
 
 24 26 28 
 
 28 28 26 
 
 2OOO 
 
 24 24 23 
 
 21 20 l8 
 
 17 17 16 
 
 16 16 17 
 
 19 21 22 
 
 23 23 24 
 
 24 24 23 
 
 2200 
 
 19 19 19 
 
 I 9 I 9 I 9 
 
 19 2O 21 
 
 21 21 22 
 
 21 21 21 
 
 21 20 19 
 
 19 19 19 
 
 2400 
 
 15 15 16 
 
 16 18 20 
 
 22 24 25 
 
 25 25 24 
 
 24 22 2O 
 
 18 16 15 
 
 15 15 16 
 
 2600 
 
 ii ii 13 
 
 IS 17 21 
 
 25 27 29 
 
 29 29 27 
 
 25 22 19 
 
 15 13 II 
 
 ii ii 13 
 
 2800 
 
 7 8 10 
 
 14 17 21 
 
 2<5 3O 32 
 
 33 32 3 
 
 26 23 19 
 
 14 10 
 
 7 8 10 
 
 3000 
 
 5 6 9 
 
 13 17 23 
 
 27 3i 34 
 
 35 34 3i 
 
 27 22 17 
 
 13 9 6 
 
 5 6 9 
 
 32OO 
 
 4 5 8 
 
 12 17 23 
 
 28 32 35 
 
 36 35 32 
 
 28 22 17 
 
 1285 
 
 4 5 
 
 34OO 
 
 4 5 8 
 
 12 17 23 
 
 28 32 35 
 
 3 6 35 3* 
 
 28 22 17 
 
 1285 
 
 4 5 8 
 
 36OO 
 
 6 7 10 
 
 13 18 23 
 
 27 30 33 
 
 34 33 3 
 
 27 22 17 
 
 13 10 7 
 
 6710 
 
 38OO 
 
 9 10 12 | 14 19 23 
 
 26 28 30 
 
 31 30 28 
 
 26 21 17 
 
 14 12 10 
 
 9 10 12 
 
 4OOO 
 
 '3 '3 H 
 
 l6 2O 22 
 
 24 26 27 
 
 27 27 26 
 
 24 20 18 
 
 l6 14 13 
 
 13 '3 H 
 
 4200 
 
 17 17 18 
 
 19 2O 21 
 
 23 22 23 
 
 23 23 22 
 
 21 19 18 
 
 17 18 17 
 
 17 17 18 
 
 44OO 
 
 22 21 22 
 
 22 21 21 
 
 20 2O 19 
 
 18 19 18 
 
 18 19 19 
 
 2O 2O 21 
 
 22 21 21 
 
 46OO 
 
 26 26 2; 
 
 24 22 2O 
 
 18 15 14 
 
 H '4 '5 
 
 16 18 20 
 
 22 25 26 
 
 26 26 25 
 
 4800 
 
 3O 29 28 
 
 25 23 I 9 
 
 15 12 II 
 
 10 II 12 
 
 15 l8 21 
 
 25 28 29 
 
 30 29 28 
 
 5OOO 
 
 33 32 30 
 
 27 23 19 
 
 13 10 8 
 
 78lO 
 
 I 3 17 21 
 
 27 30 32 
 
 33 32 3 
 
 Applied Constant : +0*00020. 
 
 The unit equals o'ooooi. 
 
SATELLITE III 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 Equations of Latitude 
 
 XLIII 
 Occupations and Transits 
 
 To correct for the Jovicentric Latitude of the Earth, the Satellite's Latitude as 
 derived from Tables XXXVII-XLII, must be supplemented by the term 
 
 -365938 R x sin (0- Q)/ A 
 (9-563408) 
 
 where R 1( A are the Geocentric Distances of the Sun and Jupiter respectively, and O 
 the Longitude of the Ascending Node of Jupiter's Orbit on the Ecliptic. For Occulta- 
 tions employ the natural sign, for Transits the reversed sign. 
 
 XLIV 
 
 Correction of Latitude for Shadows 
 and Transits 
 
 XLV 
 Angle above Jupiter's Orbit 
 
 i 
 
 2 
 
 3 
 
 4 
 
 Lat. 
 
 Coir . Sh., Tr. 
 
 A 
 
 o-oi 
 
 Lat. 
 
 000 
 
 - -00275 + 
 
 2,8 
 
 200 
 
 OS 
 
 262 
 
 2,8 
 
 1 95 
 
 10 
 
 248 
 
 2,8 
 
 90 
 
 15 
 
 234 
 
 2,8 
 
 85 
 
 2O 
 
 220 
 
 2,8 
 
 80 
 
 25 
 
 207 
 
 M 
 
 75 
 
 030 
 
 - -00193 + 
 
 2,8 
 
 1 7O 
 
 35 
 
 179 
 
 M 
 
 65 
 
 4O 
 
 I6 5 
 
 M 
 
 60 
 
 45 
 
 15* 
 
 2,8 
 
 55 
 
 so 
 
 I 3 8 
 
 2,8 
 
 50 
 
 0-55 
 
 - -00124 + 
 
 2,8 
 
 1 45 
 
 6O 
 
 110 
 
 2,8 
 
 40 
 
 65 
 
 97 
 
 2,8 
 
 35 
 
 7O 
 
 83 
 
 2,8 
 
 30 
 
 75 
 
 69 
 
 2,8 
 
 25 
 
 080 
 
 - -00055 + 
 
 2,8 
 
 1 20 
 
 85 
 
 4 2 
 
 2,8 
 
 15 
 
 90 
 
 28 
 
 2,8 
 
 10 
 
 95 
 
 14 + 
 
 2,8 
 
 05 
 
 1 00 
 
 ooooo 
 
 2,8 
 
 1 00 
 
 i 
 
 2 
 
 3 
 
 4 
 
 Lat. 
 
 Angle 
 
 A 
 O'OI 
 
 Lat. 
 
 o-oo 
 
 o 
 
 - 3-5743 + 
 
 356,5 
 
 2-00 
 
 05 
 
 3-3960 
 
 356,7 i 1-95 
 
 1O 
 
 3 - zi77 
 
 356,7 : -so 
 
 15 
 
 3-0393 
 
 356,9 
 
 85 
 
 20 
 
 2-8608 
 
 357,o 
 
 so 
 
 25 
 
 2-6823 
 
 357,i 
 
 75 
 
 030 
 
 - 2-5037 + 
 
 3S7,z 
 
 1-7O 
 
 35 
 
 2-3251 
 
 357,3 
 
 65 
 
 40 
 
 2-1464 
 
 357,4 
 
 60 
 
 45 
 
 1-9677 
 
 357,5 
 
 55 
 
 50 
 
 17889 
 
 357,6 
 
 50 
 
 055 
 
 - 1-6101 + 
 
 357,6 
 
 1 45 
 
 60 
 
 1-43I3 
 
 357,6 
 
 4O 
 
 65 
 
 1-2525 
 
 357,7 
 
 35 
 
 7O 
 
 1-0736 
 
 357,8 
 
 30 
 
 75 
 
 0-8947 
 
 357,9 
 
 25 
 
 O80 
 
 - 0-7157 + 
 
 357,9 
 
 1 20 
 
 85 
 
 0-5368 
 
 357,8 
 
 15 
 
 90 
 
 '3579 
 
 357,9 
 
 10 
 
 95 
 
 - 0-1790 + 
 
 357,9 
 
 05 
 
 1 00 
 
 O'OOOO 
 
 358,o 
 
 1 00 
 
 This Correction to be applied to Latitude as found from Tables 
 XXXVII-XLIII, before using as Argument of the Semi- 
 duration for Shadows and Transits. 
 
 This Table shows the Angle of the Satellite above Jupiter's 
 Orbit, which corresponds to the Latitude as found for 
 Tables XXXVII-XLII. 
 
 190 
 
SATELLITE III 
 
 Tables 
 
 of the 
 
 Synodic Motion, 
 
 Duration of the Phenomena of Eclipse, 
 Occultation, Transit and Shadow-Transit, 
 
 with 
 
 Equations for Reduction to the Middle, 
 Corrections for Jupiter's Phase, 
 
 and 
 
 Light-Curve of Eclipse 
 
SATELLITE III 
 
 Tables of Synodic Motion 
 XLVI 
 
 I 
 
 2 
 
 i 
 
 2 
 
 i 
 
 2 
 
 I 
 
 2 
 
 i 
 
 2 
 
 Angle 
 
 Syn. Value 
 
 Angle 
 
 Syn. Value 
 
 Angle 
 
 Syn. Value 
 
 Angle 
 
 Syn. Value 
 
 Angle 
 
 Syn. Value 
 
 
 0000 
 
 d 
 
 oooooo 
 
 
 
 0020 
 
 d 
 
 000398 
 
 o 
 
 00*0 
 
 d 
 000796 
 
 o 
 
 O60 
 
 d 
 
 001194 
 
 o 
 
 0080 
 
 d 
 
 001593 
 
 1 
 
 20 
 
 21 
 
 418 
 
 41 
 
 816 
 
 61 
 
 1214 
 
 81 
 
 1612 
 
 2 
 
 4 
 
 22 
 
 438 
 
 42 
 
 836 
 
 62 
 
 i*34 
 
 82 
 
 1632 
 
 3 
 
 60 
 
 23 
 
 458 
 
 43 
 
 856 
 
 63 
 
 1254 
 
 83 
 
 1652 
 
 4 
 
 80 
 
 24 
 
 478 
 
 44 
 
 876 
 
 64 
 
 1274 
 
 84 
 
 1672 
 
 5 
 
 IOO 
 
 25 
 
 498 
 
 45 
 
 896 
 
 65 
 
 1294 
 
 85 
 
 1692 
 
 0-006 
 
 000119 
 
 0026 
 
 000518 
 
 0046 
 
 000916 
 
 0066 
 
 001314 
 
 0086 
 
 001712 
 
 7 
 
 139 
 
 27 
 
 537 
 
 47 
 
 936 
 
 67 
 
 1334 
 
 87 
 
 1732 
 
 8 
 
 '59 
 
 28 
 
 557 
 
 48 
 
 956 
 
 68 
 
 1354 
 
 88 
 
 1752 
 
 9 
 
 179 
 
 29 
 
 577 
 
 49 
 
 975 
 
 69 
 
 1374 
 
 89 
 
 1772 
 
 1O 
 
 '99 
 
 30 
 
 597 
 
 5O 
 
 995 
 
 7O 
 
 1393 
 
 90 
 
 1792 
 
 0011 
 
 000219 
 
 0031 
 
 000617 
 
 0051 
 
 001015 
 
 0071 
 
 001413 
 
 009! 
 
 001812 
 
 12 
 
 239 
 
 32 
 
 637 
 
 52 
 
 1035 
 
 72 
 
 H33 
 
 92 
 
 1831 
 
 13 
 
 259 
 
 33 
 
 657 
 
 53 
 
 1055 
 
 73 
 
 '453 
 
 93 
 
 1851 
 
 14 
 
 279 
 
 34 
 
 677 
 
 54 
 
 1075 
 
 74 
 
 '473 
 
 94 
 
 1871 
 
 15 
 
 299 
 
 35 
 
 697 
 
 55 
 
 1095 
 
 75 
 
 '493 
 
 95 
 
 1891 
 
 0016 
 
 000319 
 
 0036 
 
 000717 
 
 0056 
 
 001115 
 
 0076 
 
 001513 
 
 0096 
 
 001911 
 
 17 
 
 338 
 
 37 
 
 737 
 
 57 
 
 ii3S 
 
 77 
 
 '533 
 
 97 
 
 '93' 
 
 18 
 
 358 
 
 38 
 
 756 
 
 58 
 
 "55 
 
 78 
 
 '553 
 
 98 
 
 1951 
 
 19 
 
 378 
 
 39 
 
 776 
 
 59 
 
 1174 
 
 79 
 
 '573 
 
 99 
 
 1971 
 
 0020 
 
 000398 
 
 0040 
 
 000796 
 
 0060 
 
 ooi 194 
 
 0080 
 
 001593 
 
 100 
 
 001991 
 
 XLVII 
 
 Angle 
 
 00 
 
 1 
 
 2 
 
 3 
 4 
 5 
 
 06 
 7 
 8 
 9 
 
 10 
 
 Syn. Value 
 
 d 
 
 oooooo 
 
 1991 
 3981 
 
 5972 
 7963 
 
 9953 
 
 011944 
 
 '3935 
 
 15925 
 
 17916 
 
 019907 
 
 Theae Tables show the time taken to describe a given angle with the Mean 
 Synodic Motion They are to be used for converting into time the Complement 
 or excess of Jupiter's longitude over that of the Satellite at an assumed approxi- 
 mate time of conjunction. 
 
 To allow for the true Synodic Motion, modify the entry of the table by adding 
 to it its product by the Variation as taken from Tables X.XXIII-XXXVI. 
 
 192 
 
XLVIII 
 
 SATELLITE III 
 
 Tables of the Phenomena 
 
 Correction of High Latitudes for the Variation 
 
 \Var. 
 
 
 
 
 
 
 
 
 \ 
 
 010 009 - 008 
 
 - -OO7 - OO6 - -OO5 
 
 - OO4 - OO3 - -002 
 
 -001 000 001 
 
 002 003 004 
 
 005 006 007 
 
 008 009 01O 
 
 LatX 
 
 
 
 
 
 
 
 
 oo 
 
 + 499 +449 +399 
 
 + 349 +299 +250 
 
 + 200 + 150 + 100 
 
 + 50 o - 50 
 
 - IOO - 150 -2OO 
 
 -250 -299 -349 
 
 - 399 - 449 ~ 499 
 
 02 
 
 + 469 +422 +375 
 
 + 328 +281 +234 
 
 + 188 + 141 + 94 
 
 + 47 o - 47 
 
 - 94 - 141 - 188 
 
 -234 -281 -328 
 
 - 375 -422 -469 
 
 O4 
 06 
 
 + 438 +394 +351 
 + 407 +366 + 326 
 
 + 307 +263 +219 
 + 285 +244 + 204 
 
 + 175 + 131 + 88 
 + 163 + 122 + 81 
 
 + 44 o - 44 
 + 41 o -41 
 
 - 88 - 131 - 175 
 - 81 - 12* - 163 
 
 -219 -263 -307 
 - 204 - 244 - 185 
 
 -35' -394 -43 s 
 - 3*6 - 366 -407 
 
 OS 
 
 + 375 +338 +3 
 
 + 263 +225 + 188 
 
 + 150 +113 + 75 
 
 + 38 o -38 
 
 - 75 -113 -150 
 
 -188 -225 -263 
 
 -300 -338 -375 
 
 1O 
 
 + 343 +309 +275 
 
 + 240 +206 + 172 
 
 + 137 + 103 + 69 
 
 + 34 o -34 
 
 - 69 -103 -137 
 
 - 172 - 206 - 240 
 
 -*75 -309 -343 
 
 12 
 
 + 311 +280 +248 
 
 + 217 + 186 + 155 
 
 + 124 +93+62 
 
 + 31 o -31 
 
 - 62 - 93 -124 
 
 - 155 - 186 - 217 
 
 -248 -280 - 311 
 
 14 
 
 + 277 +250 +222 
 
 + 194 +166 +139 
 
 + HI +83+55 
 
 + 28 o -28 
 
 -55-83 -in 
 
 - 139 - 166 - 194 
 
 -222 - 250 - 277 
 
 16 
 
 + 243 +219 +195 
 
 + I7O + 146 + 122 
 
 + 97+73+49 
 
 + 24 o -24 
 
 -49-73-97 
 
 - 122 - 146 - 170 
 
 - 195 -219 -243 
 
 18 
 
 + 209 +188+ 167 
 
 + 146 + 125 + 104 
 
 + 84+63+42 
 
 + 21 O - 21 
 
 - 42 - 63 - 84 
 
 - 104 - 125 - 146 
 
 - 167 - 188 - 209 
 
 20 
 
 + 174+156+139 
 
 + 122 + 104 + 87 
 
 + 69+52+35 
 
 + 17 o -17 
 
 -35-52-69 
 
 - 87 - 104 - 12* 
 
 -139 -156 -174 
 
 22 
 
 + 138 + 124 +uo 
 
 + 96+82+69 
 
 + 55+41+27 
 
 + 14 o -14 
 
 - *7 - 4i - 55 
 
 - 69 - 82 - 96 
 
 - no - 124 - 138 
 
 24 
 
 + 101 + 90 + 80 
 
 + 70+60+50 
 
 + 40+30+20 
 
 + IO O - IO 
 
 - 20 - 30 - 40 
 
 - 5O - 60 70 
 
 - 80 - 90 - 101 
 
 26 
 
 + 63+56+50 
 
 + 44 + 38 + 31 
 
 + 25 + 19 + 13 
 
 + 60 - 6 
 
 -13-19-25 
 
 -31-38-44 
 
 - 50 - 56 63 
 
 28 
 
 + 24+22+19 
 
 + 17 + 14 + 12 
 
 + 10 + 7 + 5 
 
 + 20 - 2 
 
 - 5 - 7-10 
 
 -I2-I4-I7 
 
 -19-22-24 
 
 3O 
 
 - 16 - 14 - 13 
 
 - 1 1 - i o - 8 
 
 - 6 - 5 - 3 
 
 -20+2 
 
 + 3+5+6 
 
 + 8 + 10 + ii 
 
 + 13+14+16 
 
 32 
 
 - 57 - 51 - 46 
 
 .40-34-29 
 
 - 23 - 17 - ii 
 
 -60+6 
 
 + ii + 17+23 
 
 + 29+34+40 
 
 + 46+51+57 
 
 34 
 
 - 99 - 90 - 80 
 
 - 70 - 60 - 50 
 
 - 40 - 30 - 20 
 
 - IO O + IO 
 
 + 20+30+40 
 
 + 50+60+70 
 
 + 80 + 90 + 99 
 
 36 
 
 -143 -129 -115 
 
 - 100 - 86 - 72 
 
 - 57 - 43 - 29 
 
 -14 o +14 
 
 + 29+43+57 
 
 + 7* + 86 + loo 
 
 + 115 + 129 +143 
 
 38 
 
 - 189 - 170 - 151 
 
 -132 -113 - 94 
 
 -75-57-38 
 
 - 19 o +19 
 
 + 38+57+75 
 
 + 94 +113 +132 
 
 + 151 + 170 + 189 
 
 4O 
 
 - 236 - 212 - 188 
 
 - 165 - 141 - 118 
 
 -94-71-47 
 
 -24 o +24 
 
 + 47+71+94 
 
 + 118+141 + 165 
 
 + 188 +212 +236 
 
 42 
 
 -285 -256 -228 
 
 -199 -171 -142 
 
 -114 - 85 - 57 
 
 -28 o +28 
 
 + 57+85 +114 
 
 + 142 +171 + 199 
 
 + 228 +256 +285 
 
 44 
 
 -335 -3 2 -268 
 
 - 235 -201 - 168 
 
 - 134 - 10 1 - 67 
 
 -34 o +34 
 
 + 67 + 101 + 134 
 
 + 168 +201 +235 
 
 + 268 +302 +335 
 
 46 
 
 -388 -350 -311 
 
 -272 -233 -194 
 
 -155 -117 - 78 
 
 -39 +39 
 
 + 78 +117 +155 
 
 + 194+233 +272 
 
 + 311 +350 +388 
 
 54 
 
 + 388 +350 +311 
 
 + 272 +233 +194 
 
 + 155 + 117 + 78 
 
 + 39 -39 
 
 - 78 -117 -155 
 
 -194 -233 -272 
 
 -311 -350 -388 
 
 56 
 
 + 335 + 302 +268 
 
 + 235 +201 + 168 
 
 + 134 +101 + 67 
 
 + 34 -34 
 
 67-101-134 
 
 - 168 -201 -235 
 
 -268 -302 -335 
 
 58 
 
 + 285 +256 +228 
 
 + 199 + 171 + 142 
 
 + 114 +85+57 
 
 + 28 o -28 
 
 -57-85 -114 
 
 -142 -171 -199 
 
 -228 -256 -285 
 
 6O 
 
 + 236 +212 + 188 
 
 + 165 + 141 + 118 
 
 + 94+71+47 
 
 + 24 o -24 
 
 -47-71-94 
 
 -118-141 - 165 
 
 - 188 -212 -236 
 
 62 
 
 + 189 + 170 + 151 
 
 + 132 + 113 + 94 
 
 + 75+57+38 
 
 + 19 o -19 
 
 - 38 - 57 - 75 
 
 - 94 -113 -132 
 
 - 151 - 170 - 189 
 
 64 
 
 + 143 + 129 +115 
 
 + 100 + 86+72 
 
 + 57+43+29 
 
 + 14 o - 14 
 
 - 29 - 43 - 57 
 
 - 72 - 86 - 100 
 
 -115 -129 -143 
 
 66 
 
 + 99+90+80 
 
 + 70+60+50 
 
 + 40+30+20 
 
 + IO - IO 
 
 - 20 - 30 - 40 
 
 - 50-60-70 
 
 - 80 - 90 - 99 
 
 68 
 
 + 57+5i+4<5 
 
 + 40+34+29 
 
 + 23+17+11 
 
 + 60 - 6 
 
 -11-17-23 
 
 - 29 - 34 - 40 
 
 - 46 - 51 - 57 
 
 7O 
 
 + 16 + 14 + 13 
 
 + II + 10 + 8 
 
 + 6 + 5 + 3 
 
 + 2O - * 
 
 -3-5-6 
 
 8 - 10 - ii 
 
 - 13 - 14 - 16 
 
 72 
 
 - 24 - 22 - 19 
 
 17-14-12 
 
 - 10 - 7 - 5 
 
 -20+2 
 
 + 5 + 7+10 
 
 + 12 + 14 + 17 
 
 + 19+22+24 
 
 74 
 
 - 63 - 56 - 50 
 
 -44-38-31 
 
 - 25 - 19 - 13 
 
 -60+6 
 
 + 13+19+25 
 
 + 31+38+44 
 
 + 50+56+63 
 
 76 
 
 - 101 - 90 80 
 
 - 70 - 60 - 50 
 
 - 40 - 30 - 20 
 
 - 10 O + IO 
 
 + 20+30+40 
 
 + 50+60+70 
 
 + 80 + 90+101 
 
 78 
 
 - 138 - 124 - no 
 
 - 96 - 82 - 69 
 
 - 55 - 4' - 2 7 
 
 -14 o +14 
 
 + 27+41+55 
 
 + 69+82+96 
 
 + no + 124 + 138 
 
 SO 
 
 -174 -156 -139 
 
 - 122 - 104 - 87 
 
 -69-52-35 
 
 -17 o +17 
 
 + 35+52+69 
 
 + 87 + 104 + 122 
 
 + 139 + 156 + 174 
 
 82 
 
 - 209 - 188 - 167 
 
 - 146 - I5 - 104 
 
 - 84 - 63 - 42 
 
 - 21 O +21 
 
 + 42+63+84 
 
 + 104 + 125 + 146 
 
 + 167 + 188 +209 
 
 84 
 
 -243 -219 -195 
 
 - 170 - 146 - I2Z 
 
 - 97 - 73 - 49 
 
 -24 o +24 
 
 + 49+73+97 
 
 + 122 + 146 + 170 
 
 + 195 +219 +243 
 
 86 
 
 - 277 - 250 - 222 
 
 - 194 - 166 - 139 
 
 -in - 83 - 55 
 
 -28 o +28 
 
 + 55 + 83+111 
 
 + 139 + 166 + 194 
 
 + 222 +250 +277 
 
 88 
 
 - 311 -28O - 248 
 
 - 217 - 186 - 155 
 
 - 124 - 93 - 62 
 
 -31 +3i 
 
 + 62 + 93+114 
 
 + 155 + 186 +217 
 
 + 248 + 28O +311 
 
 90 
 
 -343 -309 ~ 2 75 
 
 - 240 - *o6 - 172 
 
 - 137 - 103 - 69 
 
 -34 +34 
 
 + 69 + 103 + 137 
 
 + 172 +206 +240 
 
 + 275 +309 +343 
 
 92 
 
 -375 -338 -3 
 
 -263 -225 - 188 
 
 -150 -113 - 75 
 
 -38 o +38 
 
 + 75 + "3 + '5 
 
 + 188 +225 +263 
 
 + 300 +338 +375 
 
 94 
 
 -407 - 366 - 326 
 
 - 285 - 244 - 204 
 
 - 163 - 122 - 8l 
 
 -41 o +41 
 
 + 81 + 12* + 163 
 
 + 204 +244 +285 
 
 + 326 +366 +407 
 
 96 
 98 
 
 -438 -394 -351 
 -469 -422 -375 
 
 -307 -263 -219 
 - 328 - 281 -234 
 
 - 175 - 131 - 88 
 - 188 - 141 - 94 
 
 -44 o +44 
 
 -47 o +47 
 
 + 88 + 131 +175 
 + 94 +141 + 188 
 
 + 219 +263 +307 
 + 234 +281 +328 
 
 + 35' +394 +438 
 + 375 +422 +469 
 
 
 
 
 
 
 
 
 
 200 
 
 - 499 - 449 - 399 
 
 -349 -299 -250 
 
 - 200 - 150 - 100 
 
 - 50 o +50 
 
 + 100 + 150 +200 
 
 + 250 +299 +349 
 
 + 399 +449 +499 
 
 This Table is complementary to Table I. When the Latitude as derived from Tables XXXVII-XLIV lies between -oo and -45, or between 1-55 and a'oo, 
 it supplies a correction to this Latitude which allows for the effect of the Variation upon the Semiduration. The unit equals O'OOOOL 
 
 '93 
 
XLIXa 
 
 SATELLITE III 
 
 Tables of the Phenomena 
 
 Semiduration 
 
 I 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 Lat. 
 
 Eel., Oc. 
 
 A 
 
 ooi 
 
 JA' 
 
 Corr". 
 Sh.,Tr 
 
 Lat. 
 
 
 d 
 
 
 
 
 
 000 
 
 
 ... 
 
 ... 
 
 ... 
 
 2000 
 
 002 
 
 0*00472! 
 
 1705 
 
 353 
 
 - 13 
 
 1-998 
 
 004 
 
 6718 
 
 880 
 
 59 
 
 '9 
 
 1 996 
 
 006 
 
 8241 
 
 703 
 
 29 
 
 23 
 
 1 994 
 
 008 
 
 953 
 
 605 
 
 20 
 
 26 
 
 1-992 
 
 01 o 
 
 10659 
 
 537 
 
 '4 
 
 30 
 
 1 990 
 
 012 
 
 o'oi 1678 
 
 490 
 
 10 
 
 - 33 
 
 1 988 
 
 O1 4 
 
 12617 
 
 452 
 
 8 
 
 35 
 
 1-986 
 
 016 
 
 13488 
 
 422 
 
 7 
 
 38 
 
 1 984 
 
 018 
 
 H33 
 
 397 
 
 5 
 
 40 
 
 1-982 
 
 O2O 
 
 15075 
 
 377 
 
 5 
 
 42 
 
 1 980 
 
 022 
 
 0-015810 
 
 359 
 
 4 
 
 - 44 
 
 1 978 
 
 024 
 
 16509 
 
 342 
 
 4 
 
 46 
 
 1-976 
 
 026 
 
 17178 
 
 328 
 
 3 
 
 47 
 
 1-974 
 
 028 
 
 17820 
 
 3i5 
 
 3 
 
 49 
 
 1-972 
 
 030 
 
 18439 
 
 34 
 
 3 
 
 5i 
 
 1 970 
 
 O32 
 
 0-019037 
 
 295 
 
 2 
 
 53 
 
 1 968 
 
 034 
 
 19617 
 
 285 
 
 2 
 
 54 
 
 1 966 
 
 036 
 
 20178 
 
 277 
 
 2 
 
 56 
 
 1-964 
 
 O38 
 
 20723 
 
 269 
 
 2 
 
 57 
 
 1 962 
 
 040 
 
 21253 
 
 262 
 
 2 
 
 59 
 
 1 960 
 
 042 
 
 0-021769 
 
 255 
 
 2 
 
 - 60 
 
 1-958 
 
 O44 
 
 22272 
 
 249 
 
 
 62 
 
 1-956 
 
 046 
 
 22764 
 
 243 
 
 
 63 
 
 1-954 
 
 O48 
 
 23244 
 
 237 
 
 
 64 
 
 1 952 
 
 050 
 
 23713 
 
 232 
 
 
 66 
 
 1-95O 
 
 052 
 
 0-024172 
 
 227 
 
 
 - 67 
 
 1 948 
 
 054 
 
 24621 
 
 223 
 
 
 68 
 
 1-946 
 
 056 
 
 25062 
 
 218 
 
 
 70 
 
 1-944 
 
 058 
 
 25494 
 
 214 
 
 
 7i 
 
 1 942 
 
 060 
 
 25918 
 
 2IO 
 
 
 72 
 
 1 940 
 
 062 
 
 o'O26335 
 
 207 
 
 
 - 73 
 
 1-938 
 
 064 
 
 26744 
 
 2O3 
 
 
 74 
 
 1 936 
 
 066 
 
 27147 
 
 2OO 
 
 
 75 
 
 1 934 
 
 O68 
 
 27542 
 
 196 
 
 
 76 
 
 1-932 
 
 O70 
 
 27931 
 
 193 
 
 
 77 
 
 1 930 
 
 O72 
 
 0-028313 
 
 I9O 
 
 
 - 78 
 
 1-928 
 
 074 
 
 28690 
 
 I8 7 
 
 
 79 
 
 1 926 
 
 076 
 
 29062 
 
 I8 5 
 
 
 80 
 
 1-924 
 
 078 
 
 29428 
 
 182 
 
 
 81 
 
 1 922 
 
 080 
 
 29788 
 
 179 
 
 
 82 
 
 1 920 
 
 082 
 
 0-030144 
 
 177 
 
 
 - 83 
 
 1 918 
 
 084 
 
 30494 
 
 '74 
 
 
 84 
 
 1-916 
 
 O86 
 
 30840 
 
 172 
 
 
 85 
 
 1-914 
 
 088 
 
 31181 
 
 170 
 
 
 86 
 
 1 912 
 
 090 
 
 31518 
 
 1 68 
 
 
 87 
 
 1 910 
 
 092 
 
 0-031851 
 
 166 
 
 
 - 88 
 
 1 908 
 
 094 
 
 32180 
 
 163 
 
 
 89 
 
 1 906 
 
 096 
 
 32504 
 
 161 
 
 
 90 
 
 1 904 
 
 098 
 
 3*824 
 
 159 
 
 
 
 9i 
 
 1 902 
 
 100 
 
 0-033142 
 
 158 
 
 
 
 - 92 
 
 1 900 
 
 I 
 
 2 
 
 3 
 
 4 
 
 5 
 
 Lat. 
 
 Eel., Oc. 
 
 A 
 
 ooi 
 
 Corr n . 
 Sh., Tr 
 
 Lat. 
 
 
 d 
 
 
 
 
 100 
 
 0*033 142 
 
 I 5 8 
 
 - 9 2 
 
 1 900 
 
 1O2 
 
 33455 
 
 I 5 6 
 
 93 
 
 1-898 
 
 104 
 
 33764 
 
 '54 
 
 94 
 
 1 896 
 
 106 
 
 34070 
 
 152 
 
 94 
 
 1 894 
 
 1O8 
 
 34373 
 
 '5' 
 
 95 
 
 1-892 
 
 110 
 
 34672 
 
 149 
 
 96 
 
 1 890 
 
 112 
 
 0-034968 
 
 1 47 
 
 - 97 
 
 1-888 
 
 114 
 
 35261 
 
 146 
 
 98 
 
 1 886 
 
 116 
 
 35551 
 
 144 
 
 99 
 
 1 884 
 
 118 
 
 35838 
 
 '43 
 
 99 
 
 1-882 
 
 120 
 
 36122 
 
 HI 
 
 IOO 
 
 1-880 
 
 
 
 
 
 
 
 
 
 
 
 122 
 
 0-036403 
 
 140 
 
 - 101 
 
 1 878 
 
 124 
 
 36682 
 
 139 
 
 102 
 
 1-876 
 
 126 
 
 36958 
 
 137 
 
 IO2 
 
 1 874 
 
 128 
 
 37231 
 
 136 
 
 103 
 
 1 872 
 
 13O 
 
 37501 
 
 '35 
 
 104 
 
 1 870 
 
 
 
 
 
 
 132 
 
 0-037769 
 
 53 
 
 -I0 5 
 
 1 868 
 
 134 
 
 38034 
 
 132 
 
 105 
 
 1 866 
 
 136 
 
 38297 
 
 131 
 
 I 06 
 
 1-864 
 
 138 
 
 38558 
 
 130 
 
 107 
 
 1 862 
 
 14O 
 
 38816 
 
 129 
 
 107 
 
 1-860 
 
 142 
 
 0-039072 
 
 128 
 
 - 108 
 
 1 858 
 
 144 
 
 39326 
 
 126 
 
 109 
 
 1 856 
 
 146 
 
 39577 
 
 125 
 
 10 
 
 1 854 
 
 148 
 
 39826 
 
 124 
 
 10 
 
 1-852 
 
 150 
 
 40074 
 
 123 
 
 1 1 
 
 1 850 
 
 152 
 
 0-040319 
 
 122 
 
 - 12 
 
 1 848 
 
 154 
 
 40562 
 
 121 
 
 12 
 
 1 846 
 
 156 
 
 40803 
 
 120 
 
 J'3 
 
 1-844 
 
 158 
 
 41042 
 
 119 
 
 H3 
 
 1-842 
 
 16O 
 
 41279 
 
 118 
 
 II 4 
 
 1 840 
 
 162 
 
 0-041514 
 
 117 
 
 -115 
 
 1 838 
 
 164 
 
 41747 
 
 116 
 
 H5 
 
 1 836 
 
 166 
 
 41979 
 
 "5 
 
 116 
 
 1-834 
 
 168 
 
 42208 
 
 114 
 
 H7 
 
 1 832 
 
 17O 
 
 42436 
 
 113 
 
 117 
 
 1-83O 
 
 172 
 
 0-042661 
 
 112 
 
 -118 
 
 1 828 
 
 174 
 
 42885 
 
 I 12 
 
 119 
 
 1-826 
 
 176 
 
 43108 
 
 III 
 
 119 
 
 1 824 
 
 178 
 
 43330 
 
 II I 
 
 I2O 
 
 1-822 
 
 180 
 
 43550 
 
 110 
 
 121 
 
 1 82O 
 
 182 
 
 0-043768 
 
 log 
 
 -121 
 
 1-818 
 
 184 
 
 439 8 4 
 
 108 
 
 122 
 
 1-816 
 
 186 
 
 44198 
 
 107 
 
 122 
 
 1-814 
 
 188 
 
 44410 
 
 106 
 
 123 
 
 1 812 
 
 19O 
 
 44622 
 
 106 
 
 123 
 
 1 810 
 
 192 
 
 0-044833 
 
 105 
 
 -I2 4 
 
 1 808 
 
 194 
 
 45041 
 
 104 
 
 124 
 
 1 806 
 
 196 
 
 45247 
 
 103 
 
 I2 5 
 
 1 804 
 
 198 
 
 45452 
 
 1 02 
 
 126 
 
 1 802 
 
 200 
 
 0-045656 
 
 IOI 
 
 -126 
 
 1 800 
 
 i 
 
 2 
 
 3 
 
 4 
 
 5 
 
 Lat. 
 
 Eel., Oc. 
 
 A 
 
 ooi 
 
 Corr". 
 Sh., Tr 
 
 Lat. 
 
 
 d 
 
 
 
 
 200 
 
 0-045656 
 
 ioi,3 
 
 -126 
 
 i 800 
 
 2O5 
 
 46161 
 
 1 00,0 
 
 128 
 
 1 795 
 
 210 
 
 46656 
 
 98,2 
 
 129 
 
 1-790 
 
 215 
 
 47H3 
 
 96,7 
 
 130 
 
 1 785 
 
 220 
 
 47623 
 
 95,2 
 
 132 
 
 1-78O 
 
 225 
 
 48095 
 
 93,6 
 
 133 
 
 1-775 
 
 230 
 
 0-048559 
 
 92,0 
 
 -134 
 
 1-77O 
 
 235 
 
 49015 
 
 90,6 
 
 136 
 
 1 765 
 
 240 
 
 49465 
 
 89,2 
 
 '37 
 
 1 760 
 
 245 
 
 49907 
 
 87,8 
 
 138 
 
 1 755 
 
 250 
 
 50343 
 
 86,5 
 
 139 
 
 1-75O 
 
 255 
 
 0-050772 
 
 85,1 
 
 -140 
 
 1-745 
 
 260 
 
 5II94 
 
 83,9 
 
 142 
 
 1-74O 
 
 265 
 
 5l6l I 
 
 82,7 
 
 H3 
 
 1 735 
 
 27O 
 
 52021 
 
 8i,3 
 
 144 
 
 1 730 
 
 275 
 
 52425 
 
 80,3 
 
 '45 
 
 1 725 
 
 280 
 
 0*052824 
 
 79, 1 
 
 - 146 
 
 1-72O 
 
 285 
 
 53216 
 
 77,9 
 
 '47 
 
 1-715 
 
 290 
 
 53603 
 
 76,9 
 
 148 
 
 1 71O 
 
 295 
 
 539 8 5 
 
 75,9 
 
 149 
 
 1-705 
 
 300 
 
 54362 
 
 74,8 
 
 150 
 
 1 7OO 
 
 305 
 
 o'054733 
 
 73,7 
 
 -151 
 
 1-695 
 
 31 
 
 55099 
 
 72,7 
 
 152 
 
 1 690 
 
 315 
 
 55460 
 
 7i,7 
 
 '53 
 
 1 685 
 
 320 
 
 55816 
 
 70,7 
 
 '54 
 
 1 680 
 
 325 
 
 56167 
 
 69,8 
 
 155 
 
 1 675 
 
 330 
 
 0-056514 
 
 68,8 
 
 -156 
 
 1 670 
 
 335 
 
 56855 67,8 
 
 157 
 
 1 665 
 
 34O 
 
 57192 67,0 
 
 158 
 
 1-660 
 
 345 
 
 57525 66,2 
 
 '59 
 
 1 655 
 
 35O 
 
 57854 
 
 65,3 
 
 1 60 
 
 1 650 
 
 355 
 
 0-058178 
 
 64,4 
 
 - 161 
 
 1-645 
 
 360 
 
 58498 
 
 63,5 
 
 162 
 
 1 640 
 
 365 
 
 58813 
 
 62,7 
 
 163 
 
 1-635 
 
 370 
 
 59125 i 61,9 
 
 163 
 
 1 630 
 
 375 
 
 59432 
 
 61,1 
 
 164 
 
 1 625 
 
 380 
 
 0-059736 
 
 60,3 
 
 -165 
 
 1 620 
 
 385 
 
 60035 
 
 59,4 
 
 1 66 
 
 1-615 
 
 390 
 
 60330 
 
 58,6 
 
 167 
 
 1 610 
 
 395 
 
 60621 
 
 57,9 
 
 168 
 
 1 605 
 
 4OO 
 
 60909 
 
 57,2 
 
 168 
 
 1-600 
 
 405 
 
 0-061 193 
 
 56,5 
 
 - 169 
 
 1 595 
 
 41 O 
 
 61474 
 
 55,8 
 
 170 
 
 I 590 
 
 415 
 
 61751 
 
 55,o 
 
 171 
 
 1 585 
 
 42O 
 
 62024 
 
 54,3 
 
 171 
 
 1 580 
 
 425 
 
 62294 
 
 53,6 
 
 172 
 
 1-575 
 
 43O 
 
 0-062560 
 
 52,9 
 
 -7J 
 
 1 570 
 
 435 
 
 62823 
 
 52,2 
 
 174 
 
 1 565 
 
 44O 
 
 63082 
 
 5M 
 
 '74 
 
 1 560 
 
 445 
 
 63338 
 
 5,9 
 
 '75 
 
 1-555 
 
 45O 
 
 0-063591 
 
 50,2 
 
 -176 
 
 1 550 
 
 Applied Constant: - o'-oooioo. The Argument of Table XLIXa is the Latitude as derived from Tables XXXVII-XLIV, corrected by the 
 
 entry of Table 3XVIII. The entry juust be corrected further by the entries of Tables LI-LV. For Shadows and Transits, the correction from 
 
 Col. 4 or 5, and that for Phase from Table LX V must also be applied. 
 
 "94 
 
XLIXb 
 
 SATELLITE III 
 
 Tables of the Phenomena 
 
 Semiduration continued 
 
 
 
 2 
 
 3 
 
 4 
 
 5 
 
 Lat. 
 
 Eel., Oc. 
 
 A 
 '001 
 
 Corr". 
 3h., Tr. 
 
 Lat. 
 
 
 d 
 
 
 
 
 45O 
 
 0-063191 
 
 50,2 
 
 -176 
 
 1 550 
 
 455 
 
 63441 
 
 49. 6 
 
 176 
 
 1-545 
 
 46O 
 
 63687 
 
 48,9 
 
 177 
 
 1 540 
 
 465 
 
 63930 
 
 48,3 
 
 178 
 
 1 535 
 
 47O 
 
 64170 
 
 47,7 
 
 179 
 
 1 530 
 
 475 
 
 64407 
 
 47,i 
 
 179 
 
 1 525 
 
 480 
 
 0-064641 
 
 4 6 ,4 
 
 - 180 
 
 1-520 
 
 485 
 
 64871 
 
 45,7 
 
 itl 
 
 1-515 
 
 490 
 
 65098 
 
 45,2 
 
 III 
 
 1510 
 
 495 
 
 65323 
 
 44,7 
 
 182 
 
 1-505 
 
 500 
 
 6 5545 
 
 44, 
 
 182 
 
 1 500 
 
 505 
 
 0-065763 
 
 43,4 
 
 -183 
 
 1 495 
 
 510 
 
 6 5979 
 
 4 2 ,9 
 
 184 
 
 1 490 
 
 515 
 
 66192 
 
 42,3 
 
 184 
 
 1-485 
 
 520 
 
 66402 
 
 4i,7 
 
 185 
 
 1 480 
 
 525 
 
 66609 
 
 41,1 
 
 185 
 
 1 475 
 
 530 
 
 0-066813 
 
 40,6 
 
 -186 
 
 1 470 
 
 535 
 
 67015 
 
 40,1 
 
 186 
 
 1 465 
 
 54O 
 
 67214 
 
 39,5 
 
 187 
 
 1-460 
 
 545 
 
 67410 
 
 39- 
 
 187 
 
 1-455 
 
 55O 
 
 67604 
 
 38,5 
 
 188 
 
 1 450 
 
 555 
 
 0-067795 
 
 37,9 
 
 - 189 
 
 1-445 
 
 56O 
 
 67983 
 
 37,3 
 
 189 
 
 1 440 
 
 565 
 
 68168 
 
 36,8 
 
 190 
 
 1 435 
 
 570 
 
 68351 
 
 36,3 
 
 190 
 
 1 430 
 
 575 
 
 68531 
 
 35,8 
 
 190 
 
 1-425 
 
 580 
 
 0-068709 
 
 35,3 
 
 -191 
 
 1-420 
 
 585 
 
 68884 
 
 34,8 
 
 192 
 
 1-415 
 
 59O 
 
 69057 
 
 34,3 
 
 192 
 
 1-410 
 
 595 
 
 69227 
 
 33,8 
 
 192 
 
 1-405 
 
 60O 
 
 69395 
 
 33,3 
 
 193 
 
 1-40O 
 
 605 
 
 0-069560 
 
 32,8 
 
 -193 
 
 1-395 
 
 61 
 
 69723 
 
 3^,3 
 
 194 
 
 1-390 
 
 615 
 
 69883 
 
 3i,8 
 
 194 
 
 1-385 
 
 62O 
 
 70041 
 
 3',4 
 
 '95 
 
 1-380 
 
 625 
 
 70197 
 
 3,8 
 
 '95 
 
 1-375 
 
 630 
 
 0-070349 
 
 3,3 
 
 -195 
 
 1 370 
 
 635 
 
 70500 
 
 2 9,9 
 
 196 
 
 1-365 
 
 640 
 
 70648 
 
 29,4 
 
 196 
 
 1 360 
 
 645 
 
 70794 
 
 28,9 
 
 '97 
 
 1-355 
 
 650 
 
 7937 
 
 28,5 
 
 "97 
 
 1 350 
 
 655 
 
 0-071079 
 
 28,2 
 
 - 198 
 
 1-345 
 
 66O 
 
 71219 
 
 27,6 
 
 198 
 
 1-340 
 
 665 
 
 713S5 
 
 27,1 
 
 198 
 
 1-335 
 
 670 
 
 71490 
 
 26,7 
 
 '99 
 
 1 330 
 
 675 
 
 71622 
 
 26,2 
 
 199 
 
 1-325 
 
 680 
 
 0-071752 
 
 25,8 
 
 - 200 
 
 1 320 
 
 685 
 
 71880 
 
 25,3 
 
 200 
 
 1-315 
 
 690 
 
 72005 
 
 24,8 
 
 200 
 
 1 310 
 
 695 
 
 72128 
 
 2 4>4 
 
 200 
 
 1 305 
 
 700 
 
 0-072249 
 
 24,0 
 
 - 2OI 
 
 1-300 
 
 I 
 
 2 
 
 3 
 
 4 
 
 5 
 
 Lat. 
 
 Eel., Oc. 
 
 A 
 
 ooi 
 
 Corr". 
 3h., Tr. 
 
 Lat. 
 
 
 d 
 
 
 
 
 700 
 
 0-072249 
 
 24,0 
 
 -201 
 
 1 300 
 
 705 
 
 72368 
 
 23,6 
 
 2OI 
 
 295 
 
 71O 
 
 72485 
 
 23,1 
 
 2OI 
 
 29O 
 
 715 
 
 72599 
 
 22,6 
 
 2O2 
 
 285 
 
 72O 
 
 727II 
 
 22,2 
 
 2O2 
 
 280 
 
 725 
 
 72821 
 
 21,8 
 
 2O2 
 
 275 
 
 730 
 
 0-072929 
 
 21,4 
 
 -203 
 
 27O 
 
 735 
 
 7335 
 
 21,0 
 
 2O3 
 
 265 
 
 74O 
 
 73'39 
 
 20,5 
 
 203 
 
 26O 
 
 745 
 
 73240 
 
 20,1 
 
 203 
 
 255 
 
 75O 
 
 7334 
 
 19,7 
 
 204 
 
 250 
 
 755 
 
 0-073437 
 
 '9,3 
 
 - 204 
 
 245 
 
 76O 
 
 73533 
 
 18,9 
 
 204 
 
 24O 
 
 765 
 
 73626 
 
 1 8,4 
 
 205 
 
 235 
 
 770 
 
 737>7 
 
 1 8,0 
 
 20 5 
 
 230 
 
 775 
 
 73806 
 
 17,6 
 
 205 
 
 225 
 
 78O 
 
 0-073893 
 
 '7,2 
 
 - 2O6 
 
 220 
 
 785 
 
 73978 
 
 16,8 
 
 206 
 
 215 
 
 790 
 
 74061 
 
 '6,4 
 
 206 
 
 210 
 
 795 
 
 74142 
 
 1 6,0 
 
 2O6 
 
 205 
 
 80O 
 
 74221 
 
 5,5 
 
 2O6 
 
 200 
 
 805 
 
 0-074297 
 
 '5,' 
 
 - 2O6 
 
 195 
 
 81 
 
 74372 
 
 14,8 
 
 207 
 
 190 
 
 815 
 
 74445 
 
 '4,4 
 
 2O7 
 
 185 
 
 82O 
 
 74516 
 
 14,0 
 
 2O7 
 
 ISO 
 
 825 
 
 74585 
 
 '3,6 
 
 207 
 
 175 
 
 830 
 
 0-074652 
 
 '3,' 
 
 -208 
 
 170 
 
 835 
 
 74716 
 
 '2,7 
 
 208 
 
 165 
 
 84O 
 
 74779 
 
 12,4 
 
 208 
 
 16O 
 
 845 
 
 7484 
 
 12,0 
 
 208 
 
 155 
 
 85O 
 
 74899 
 
 i',6 
 
 208 
 
 1-1 SO 
 
 855 
 
 0-074956 
 
 11,2 
 
 - 209 
 
 1 145 
 
 86O 
 
 75011 
 
 10,7 
 
 209 
 
 1-140 
 
 865 
 
 75063 
 
 10,3 
 
 209 
 
 1-135 
 
 87O 
 
 75"4 
 
 10,0 
 
 209 
 
 1-1 SO 
 
 875 
 
 75163 
 
 9,6 
 
 209 
 
 1-125 
 
 880 
 
 0-075210 
 
 9,3 
 
 -209 
 
 1-1 2O 
 
 885 
 
 75256 
 
 8,9 
 
 209 
 
 1-115 
 
 89O 
 
 75299 
 
 8,4 
 
 209 
 
 1 110 
 
 895 
 
 75340 
 
 8,1 
 
 209 
 
 1 105 
 
 900 
 
 7538o 
 
 7,7 
 
 209 
 
 1 100 
 
 905 
 
 0-075417 
 
 7,2 
 
 - 2O9 
 
 1-095 
 
 910 
 
 75452 
 
 6,9 
 
 2IO 
 
 1 090 
 
 915 
 
 75486 
 
 6,5 
 
 2IO 
 
 1 085 
 
 920 
 
 755'7 
 
 6,1 
 
 2IO 
 
 1 080 
 
 925 
 
 75547 
 
 5,7 
 
 210 
 
 1 075 
 
 930 
 
 0-075574 
 
 5,3 
 
 -2IO 
 
 1-070 
 
 935 
 
 75600 
 
 5, 
 
 2IO 
 
 1 065 
 
 940 
 
 75624 
 
 4,6 
 
 210 
 
 1 060 
 
 945 
 
 75646 
 
 4,* 
 
 2IO 
 
 1 055 
 
 950 
 
 0-075666 
 
 3,9 
 
 - 210 
 
 1 050 
 
 i 
 
 2 
 
 3 
 
 4 
 
 5 
 
 Lat. 
 
 Eel., Oc. 
 
 A 
 ' 00 
 
 Con . 
 Sh.,Tr. 
 
 Lat. 
 
 
 d 
 
 
 
 
 95O 
 
 0-075666 
 
 3,9 
 
 - 2IO 
 
 1 050 
 
 955 
 
 75685 
 
 3,5 
 
 210 
 
 1-045 
 
 960 
 
 75701 
 
 3,o 
 
 2IO 
 
 1 040 
 
 965 
 
 757'5 
 
 2,6 
 
 210 
 
 1 035 
 
 97O 
 
 757 2 7 
 
 2,3 
 
 2IO 
 
 1 030 
 
 975 
 
 75738 
 
 i>9 
 
 2IO 
 
 1 025 
 
 980 
 
 0-075746 
 
 ',5 
 
 -210 
 
 1 020 
 
 985 
 
 75753 
 
 ',2 
 
 211 
 
 1-015 
 
 990 
 
 75758 
 
 0,8 
 
 211 
 
 1 010 
 
 995 
 
 75761 
 
 0,4 
 
 211 
 
 1-005 
 
 1 000 
 
 0-075762 
 
 O'O 
 
 -211 
 
 TOOO 
 
 Added Constant :- o"-ooo5oo. The Argument of 
 this Table is the Latitude as derived from Tables 
 XXXVII-XLIV. 
 
 The entry must be corrected by the entries of 
 Tables L-LV. For Shadows and Transits the correc- 
 tion from column 4 must lie applied, and also that 
 for Jupiter's phase from Table LXV. 
 
 195 
 
SATELLITE III 
 
 Tables of the Phenomena 
 
 Equation of Semiduration 
 
 Vary/ 
 /Lat 
 
 010009008 
 
 - O07 - OO6 - OO5 
 
 - 004 - 003 - 002 
 
 001 000 001 
 
 002 003 004 
 
 005 006 007 
 
 008 009 010 
 
 Var./ 
 /Lat. 
 
 44 
 
 2l8 245 262 
 
 280 297 314 
 
 331 348 366 
 
 383 400 417 
 
 434 452 469 
 
 486 503 520 
 
 538 555 572 
 
 1 56 
 
 46 
 
 211 230 249 
 
 268 287 305 
 
 324 343 362 
 
 381 400 419 
 
 438 457 476 
 
 495 5'3 532 
 
 551 570 589 
 
 1-54 
 
 48 
 
 195 215 236 
 
 256 277 297 
 
 3i8 338 359 
 
 379 400 421 
 
 441 462 482 
 
 53 523 544 
 
 564 585 605 
 
 1-52 
 
 5O 
 
 179 2O2 224 
 
 246 268 290 
 
 312 334 356 
 
 378 400 422 
 
 444 466 488 
 
 5io 532 554 
 
 576 598 621 
 
 1 50 
 
 52 
 
 165 189 212 
 
 235 259 283 
 
 306 329 353 
 
 377 400 423 
 
 447 47i 494 
 
 5 ! 7 54' 365 
 
 588 611 635 
 
 48 
 
 54 
 
 151 177 201 
 
 226 251 276 
 
 301 325 350 
 
 375 400 425 
 
 45 475 499 
 
 524 549 574 
 
 599 623 649 
 
 46 
 
 56 
 
 139 165 191 
 
 217 243 270 
 
 296 322 347 
 
 374 400 426 
 
 453 478 54 
 
 53 557 583 
 
 609 635 661 
 
 44 
 
 58 
 
 127 155 182 
 
 209 236 264 
 
 29! 318 345 
 
 373 400 427 
 
 455 482 509 
 
 536 564 591 
 
 618 645 673 
 
 42 
 
 60 
 
 116 145 173 
 
 201 230 258 
 
 *7 315 343 
 
 372 400 428 
 
 457 485 513 
 
 542 570 599 
 
 627 655 684 
 
 40 
 
 62 
 
 106 136 165 
 
 194 223 253 
 
 282 312 341 
 
 371 400 429 
 
 459 488 518 
 
 547 577 606 
 
 635 664 694 
 
 1 38 
 
 64 
 
 96 127 157 
 
 187 218 249 
 
 *79 39 339 
 
 370 400 430 
 
 461 491 521 
 
 551 582 613 
 
 643 673 704 
 
 1 36 
 
 66 
 
 87 119 150 
 
 l8l 212 244 
 
 *75 3o6 337 
 
 369 400 431 
 
 463 494 525 
 
 556 588 619 
 
 650 681 713 
 
 1-34 
 
 68 
 
 79 "i H3 
 
 175 207 240 
 
 27* 304 335 
 
 368 400 432 
 
 465 496 528 
 
 560 593 625 
 
 657 689 721 
 
 1'32 
 
 7O 
 
 71 104 137 
 
 I7O 2O2 236 
 
 269 301 334 
 
 367 400 433 
 
 466 499 531 
 
 564 598 630 
 
 663 696 729 
 
 1 30 
 
 72 
 
 64 98 131 
 
 165 198 232 
 
 266 299 332 
 
 367 400 433 
 
 468 501 534 
 
 568 602 635 
 
 669 702 736 
 
 1 28 
 
 74 
 
 57 92 126 
 
 160 194 229 
 
 263 297 331 
 
 366 400 434 
 
 469 503 537 
 
 571 606 640 
 
 674 708 743 
 
 1 26 
 
 76 
 
 51 87 121 
 
 156 190 226 
 
 261 295 330 
 
 365 400 435 
 
 470 505 539 
 
 574 610 644 
 
 679 7i3 749 
 
 1-24 
 
 78 
 
 45 81 117 
 
 152 187 223 
 
 258 294 329 
 
 365 400 435 
 
 471 506 542 
 
 577 613 648 
 
 683 7'9 755 
 
 1-22 
 
 80 
 
 40 77 "3 
 
 148 184 221 
 
 256 292 328 
 
 364 400 436 
 
 472 508 544 
 
 579 616 652 
 
 687 723 760 
 
 1-20 
 
 82 
 
 36 73 109 
 
 145 181 21$ 
 
 254 291 327 
 
 364 400 436 
 
 473 59 54<5 
 
 582 619 655 
 
 691 727 764 
 
 118 
 
 84 
 
 32 70 106 
 
 143 179 217 
 
 253 290 326 
 
 364 400 436 
 
 474 5' 547 
 
 583 621 657 
 
 694 730 768 
 
 116 
 
 86 
 
 28 66 103 
 
 140 177 215 
 
 252 288 325 
 
 363 400 437 
 
 475 52 548 
 
 585 623 660 
 
 697 734 772 
 
 1 14 
 
 88 
 
 25 64 101 
 
 138 175 213 
 
 250 288 315 
 
 363 400 437 
 
 475 512 55 
 
 587 625 662 
 
 699 736 775 
 
 112 
 
 90 
 
 23 61 99 
 
 136 173 2I 
 
 249 287 324 
 
 363 400 437 
 
 476 513 55' 
 
 588 627 664 
 
 701 739 777 
 
 110 
 
 92 
 
 21 59 97 
 
 135 172 211 
 
 249 286 324 
 
 362 400 438 
 
 476 5H 55i 
 
 589 628 665 
 
 703 741 779 
 
 08 
 
 94 
 
 19 58 96 
 
 133 171 210 
 
 248 286 323 
 
 362 400 438 
 
 477 5'4 552 
 
 590 629 667 
 
 704 742 781 
 
 06 
 
 96 
 
 ' 57 95 
 
 133 170 209 
 
 247 285 323 
 
 362 400 438 
 
 477 5>5 553 
 
 591 630 667 
 
 705 743 782 
 
 04 
 
 98 
 
 '7 56 94 
 
 132 I7O 209 
 
 247 285 323 
 
 362 400 438 
 
 477 515 553 
 
 591 630 668 
 
 706 744 783 
 
 02 
 
 1 00 
 
 J7 56 94 
 
 132 170 209 
 
 *47 285 3*3 
 
 362 400 438 
 
 477 5'5 553 
 
 591 630 668 
 
 706 744 783 
 
 00 
 
 Applied Constant: +400. The unit in this Table equals 0^-000001. 
 
 This Table is complementary to Table XLVIII. It shows a correction to be applied to the Semiduration as derived from Table XLIX". due to the 
 Variation, when the Latitude as found from Tables XXXVII-XLIV lies between -45 and r 55 . 
 
 196 
 
LI 
 
 SATELLITE III 
 
 Tables of the Phenomena 
 
 Equations of Semiduration 
 Eel., Oc. LII 
 
 Eel., Oc., Sh., Tr. 
 
 I 
 
 2 
 
 
 
 2 
 
 a 
 
 Eel., Oc. 
 
 a 
 
 Eel., Oc. 
 
 d 
 
 
 
 d 
 
 + -oooo 1 7 
 
 d 
 
 2400 
 
 - -000016 
 
 200 
 
 16 
 
 2600 
 
 '4 
 
 400 
 
 14 
 
 28OO 
 
 10 
 
 600 
 
 ii 
 
 3OOO 
 
 6 
 
 800 
 
 7 
 
 32OO 
 
 i 
 
 10OO 
 
 + 2 
 
 34OO 
 
 + 4 
 
 1200 
 140O 
 
 -000003 
 
 8 
 
 36OO 
 3800 
 
 + '000008 
 
 12 
 
 1600 
 
 12 
 
 4OOO 
 
 '5 
 
 180O 
 
 15 
 
 4200 
 
 '7 
 
 2000 
 
 17 
 
 440O 
 
 17 
 
 2200 
 24OO 
 
 - -OOOOI7 
 
 16 
 
 4600 
 48OO 
 
 + 'OOOOl6 
 
 '3 
 
 26OO 
 
 - '000014 
 
 500O 
 
 + 000010 
 
 No Constant has been added. 
 
 \ Lat. 
 
 \ 
 
 20 1-9 1-8 1-7 
 00 01 02 0-3 
 
 1-6 1-5 1-4 
 0-4 0-5 0-6 
 
 1-3 1-2 1-1 
 
 1-0 
 
 O 7 O 8 O 9 
 
 d 
 
 
 
 1O 10 IO 1O 
 
 IO IO 10 
 
 10 10 IO 10 
 
 20 
 
 IO II 11 II 
 
 12 12 12 
 
 12 12 12 12 
 
 4O 
 60 
 80 
 100 
 
 IO 12 12 13 
 
 10 13 14 14 
 10 13 14 15 
 10 13 14 15 
 
 I 3 13 I 4 
 
 15 15 16 
 16 16 16 
 16 16 16 
 
 I 4 14 14 14 
 
 16 16 16 16 
 
 17 17 17 17 
 17 17 17 17 
 
 120 
 14O 
 
 10 13 14 15 
 
 10 13 14 14 
 
 16 16 16 
 15 15 16 
 
 17 17 17 17 
 16 16 16 16 
 
 160 
 
 10 12 12 13 
 
 >3 '3 H 
 
 14 14 14 14 
 
 18O 
 
 10 II II II 
 
 12 12 12 
 
 12 12 12 IZ 
 
 200 
 
 IO IO 10 10 
 
 10 IO IO 
 
 IO 10 10 IO 
 
 22O 
 240 
 260 
 28O 
 30O 
 
 10 9 9 9 
 
 10 8 8 7 
 10 7 6 6 
 10 7 6 5 
 10 7 6 5 
 
 888 
 7 7 6 
 5 5 4 
 444 
 444 
 
 8888 
 6666 
 4444 
 3333 
 3333 
 
 320 
 34O 
 360 
 380 
 400 
 
 10 7 6 5 
 10 7 6 6 
 10 8 8 7 
 10 9 9 9 
 
 IO IO IO 10 
 
 444 
 5 5 4 
 7 7 6 
 888 
 
 IO IO IO 
 
 3333 
 4444 
 6666 
 8888 
 
 IO 10 IO IO 
 
 Applied Constant : +o d "ooooio. 
 
 The unit equals o d 'oooooi. 
 
 LIII 
 
 Oc., Tr. 
 
 \Lat. 
 
 1 98 1 96 1 94 
 
 1 92 1 90 1-88 
 
 1 86 1 84 1 82 
 
 
 
 1-2 1'1 
 
 1-8 1 '7 1'6 
 
 1 '5 1 '4 1 '3 
 
 \ 
 
 
 
 
 
 
 1O 
 
 ^ \ 
 
 02 O4 06 
 
 08 -10 -12 
 
 14 16 -18 
 
 2 3 4 
 
 5 '6 -7 
 
 8 9 
 
 d 
 
 
 
 ioi 71 59 
 
 >i 46 42 
 
 39 37 35 
 
 33 28 25 
 
 + 23 22 21 
 
 2O 20 +2O 
 
 20 
 
 96 68 56 
 
 48 44 40 
 
 37 35 33 
 
 32 27 24 
 
 22 21 2O 
 
 19 19 19 
 
 
 
 40 
 
 80 57 47 
 
 4' 37 34 
 
 31 29 28 
 
 27 22 2O 
 
 18 17 17 
 
 16 16 16 
 
 60 
 
 60 43 35 
 
 31 27 25 
 
 24 22 21 
 
 20 17 15 
 
 H 13 '3 
 
 12 12 12 
 
 80 
 
 30 21 18 
 
 15 H '3 
 
 12 11 10 
 
 + 10 8 8 
 
 7 7 + 6 
 
 6 6 6 
 
 1OO 
 
 o o o 
 
 o o o 
 
 O O O 
 
 O O O 
 
 O O 
 
 O 
 
 120 
 
 + 30+21 + 18 
 
 + 15 +14 +13 
 
 +12 +11 +10 
 
 + 10 + 8 + 8 
 
 + 7 + 7 + 6 
 
 + 6 + 6 + 6 
 
 140 
 160 
 
 <5o 43 35 
 80 57 47 
 
 31 27 25 
 
 4i 37 34 
 
 24 22 21 
 
 31 29 28 
 
 20 17 15 
 27 22 20 
 
 H '3 13 
 
 18 17 17 
 
 12 12 12 
 
 16 16 16 
 
 180 
 
 96 68 56 
 
 48 44 40 
 
 37 35 33 
 
 3 2 27 24 
 
 22 21 20 
 
 19 19 19 
 
 20O 
 
 ioi 71 59 
 
 51 46 42 
 
 39 37 35 
 
 33 28 *5 
 
 23 22 21 
 
 2O 2O 20 
 
 22O 
 24O 
 
 + 96 +68 +56 
 
 80 57 47 
 
 + 48 +44 +40 
 4i 37 34 
 
 + 37 +35 +33 
 31 29 28 
 
 + 32 +27 +24 
 
 27 22 2O 
 
 + 22 +21 +20 
 
 18 17 17 
 
 + 19 ?i9 +19 
 16 16 16 
 
 260 
 280 
 
 60 43 35 
 + 30 +21 + 18 
 
 31 27 25 
 + 15 +14 +13 
 
 24 22 21 
 + 12 +11 +10 
 
 20 17 15 
 + 10 + 8 T 8 
 
 H '3 13 
 
 + 7 + 7 + 6 
 
 12 12 12 
 
 + 6 + 6 + 6 
 
 300 
 
 o o o 
 
 o o o 
 
 O 
 
 O O O 
 
 o o o 
 
 o o o 
 
 320 
 
 30 21 +18 
 
 15 14 '3 
 
 12 11 10 
 
 io 8 8 
 
 7 7 6 
 
 6 + 6 + 6 
 
 340 
 360 
 
 60 43 35 
 
 80 57 47 
 
 31 27 25 
 4' 37 34 
 
 24 22 21 
 JI 29 28 
 
 20 17 15 
 27 22 2O 
 
 H 3 '3 
 
 18 17 17 
 
 12 12 12 
 
 16 16 16 
 
 38O 
 400 
 
 96 68 56 
 101 71 59 
 
 48 44 40 
 51 4 6 4 2 
 
 37 35 33 
 39 37 35 
 
 32 27 24 
 
 33 28 25 
 
 22 21 2O 
 13 +" +*' 
 
 19 19 19 
 
 20 20 +20 
 
 
 The upper sign applies to Occupations, the lowe,- to Transits. No Constant has been added. The unit in tlm Table equals o<"ooooo.. 
 
 '97 
 
LIV 
 
 SATELLITE III 
 
 Tables of the Phenomena 
 
 Equation of Semiduration 
 
 Ed, Oc. 
 
 \s 
 \ 
 
 O d O O d> 4 O d> 8 
 
 1<i-2 1 d -6 2 d O 
 
 2 d 4 2 d 8 3 d 2 
 
 3 d -6 4 d -O 4 d -4 
 
 4 d -8 5 d '2 5 d> 6 
 
 6 d. o 6 d. 4 6 d. 8 
 
 7 d -2 7 d 6 8 d O 
 
 d 
 
 
 
 
 
 
 
 
 o-o 
 
 90 90 90 
 
 90 90 90 
 
 90 90 90 
 
 90 90 90 
 
 90 90 90 
 
 90 90 90 
 
 90 go 90 
 
 02 
 O4 
 
 06 
 08 
 
 i-o 
 
 92 93 93 
 98 99 100 
 107 109 no 
 n 6 it a 1 20 
 123 126 128 
 
 93 94 93 
 
 IOO IOO IOO 
 
 110 no 109 
 
 121 120 119 
 129 129 127 
 
 93 9 Z 9 2 
 99 98 97 
 
 108 106 104 
 117 114 in 
 124 120 116 
 
 91 91 91 
 96 95 94 
 
 IO2 IOI IOO 
 
 109 106 105 
 113 no 109 
 
 90 90 90 
 
 94 94 94 
 100 100 101 
 105 105 106 
 108 109 in 
 
 91 91 92 
 95 9 6 97 
 
 102 IO4 IO5 
 
 108 ill 114 
 
 114 117 I2O 
 
 93 93 93 
 98 99 99 
 107 109 no 
 116 118 no 
 124 127 i 2 g 
 
 1-2 
 1-4 
 1-6 
 1-8 
 
 20 
 
 126 129 132 
 125 129 133 
 
 I2O 125 130 
 
 118 123 129 
 
 115 120 126 
 
 '34 '33 131 
 
 '35 135 !33 
 '34 135 '34 
 133 136 135 
 131 134 135 
 
 128 124 119 
 129 125 119 
 130 126 120 
 133 128 123 
 133 130 125 
 
 115 112 110 
 
 115 112 I 10 
 
 115 1 1 o 1 07 
 118 113 no 
 
 I2O Il6 112 
 
 109 no 112 
 109 109 in 
 106 105 106 
 
 107 106 106 
 109 107 107 
 
 115 I l8 122 
 114 117 121 
 
 108 112 116 
 
 1 08 no 114 
 
 IO7 IOg 112 
 
 126 130 133 
 
 126 130 133 
 
 121 126 131 
 
 118 124 129 
 
 I l6 121 126 
 
 22 
 2-4 
 26 
 2-8 
 
 30 
 
 116 120 125 
 
 114 117 122 
 
 in 114 118 
 los MI 114 
 1 02 104 1 06 
 
 130 134 '35 
 126 129 131 
 
 121 124 126 
 117 119 120 
 
 108 109 no 
 
 '35 '33 13 
 131 130 127 
 127 126 124 
 
 1 2O 1 2O 119 
 
 no 109 108 
 
 125 121 117 
 
 124 120 116 
 
 121 llS 115 
 115 112 110 
 
 106 105 103 
 
 114 in no 
 113 in 109 
 
 112 109 108 
 IO7 IO5 104 
 
 101 ioo 99 
 
 log no 113 
 109 109 in 
 107 107 109 
 104 104 106 
 99 ioo 101 
 
 116 121 126 
 
 114 Il8 122 
 
 in 114 118 
 108 in 114 
 1 02 104 1 06 
 
 3-2 
 34 
 36 
 3-8 
 40 
 
 95 9 6 9 8 
 92 92 93 
 90 90 90 
 92 91 91 
 97 9 6 95 
 
 99 99 100 
 
 93 93 93 
 90 90 90 
 90 90 90 
 95 94 95 
 
 i oo 99 99 
 93 93 9 2 
 
 go 90 90 
 9 I 9 I 91 
 
 95 9 6 9 8 
 
 97 9 6 95 
 92 91 91 
 90 90 90 
 
 93 93 94 
 99 100 101 
 
 94 93 93 
 90 90 90 
 go 90 90 
 
 94 94 94 
 
 IOI IOI IOI 
 
 93 94 94 
 go gi 91 
 90 90 go 
 
 94 93 9 2 
 ioo 99 98 
 
 95 97 9 8 
 92 92 93 
 go go go 
 92 91 90 
 97 96 95 
 
 4-2 
 4-4 
 4-6 
 48 
 50 
 
 IO3 IO2 101 
 
 108 106 105 
 113 no 109 
 n; 112 no 
 115 in 109 
 
 IOO IOO IOI 
 
 105 105 107 
 108 109 in 
 109 109 in 
 
 108 108 110 
 
 1 02 104 1 06 
 109 in 114 
 
 113 117 I2O 
 114 117 121 
 
 113 116 120 
 
 108 no in 
 
 117 119 121 
 124 127 129 
 125 129 132 
 125 129 133 
 
 112 112 III 
 121 121 Iig 
 130 129 127 
 
 '34 J 33 '3' 
 135 r 3<5 133 
 
 109 107 105 
 117 114 in 
 124 120 116 
 127 123 119 
 129 124 119 
 
 103 IO2 IOO 
 
 108 106 105 
 113 1 10 109 
 114 in 109 
 114 in 109 
 
 5-2 
 5-4 
 5'6 
 
 58 
 60 
 
 117 113 no 
 
 119 114 110 
 122 118 113 
 124 1 20 115 
 
 125 121 117 
 
 108 108 109 
 1 08 1 06 107 
 no 108 107 
 iiz 109 108 
 114 in 109 
 
 in 114 118 
 
 107 log 113 
 IO7 IO9 III 
 
 108 109 in 
 1 08 109 in 
 
 123 128 133 
 117 122 128 
 115 I2O 126 
 
 115 "9 "4 
 
 114 Il8 122 
 
 136 138 136 
 133 135 136 
 130 134 '35 
 129 '33 >34 
 126 130 131 
 
 132 127 122 
 
 133 I2 9 I2 4 
 134 131 127 
 134 132 128 
 132 131 128 
 
 117 113 no 
 118 114 no 
 122 117 113 
 124 iig 115 
 125 121 117 
 
 62 
 6-4 
 66 
 6-8 
 7O 
 
 1 20 117 114 
 113 no 108 
 
 104 IO2 IOI 
 
 97 9 6 94 
 91 91 90 
 
 in 109 107 
 105 104 103 
 
 99 9 8 97 
 93 93 93 
 90 90 90 
 
 107 107 109 
 
 IO2 IO3 104 
 
 97 97 98 
 
 93 93 94 
 90 90 91 
 
 112 115 118 
 
 106 108 in 
 100 102 103 
 95 96 97 
 91 92 92 
 
 122 124 126 
 
 114 116 117 
 105 106 107 
 98 99 99 
 93 93 93 
 
 126 125 123 
 117 116 115 
 
 107 107 105 
 
 99 9 8 9 8 
 93 9 2 9 2 
 
 120 117 114 
 113 no 107 
 
 IO4 IO2 IOO 
 
 97 95 94 
 gi 91 go 
 
 7-2 
 74 
 7'6 
 78 
 
 80 
 
 90 90 91 
 93 94 95 
 
 IOO IOI IO2 
 109 III 113 
 117 119 121 
 
 91 91 91 
 95 95 95 
 
 103 103 IO2 
 113 113 112 
 122 121 I2O 
 
 91 91 90 
 94 94 93 
 
 IOI IOO 98 
 
 no 108 106 
 117 114 in 
 
 90 90 90 
 92 92 92 
 96 95 95 
 
 104 102 IOO 
 
 108 106 105 
 
 90 90 go 
 91 91 91 
 94 94 95 
 
 IOO IOO IOI 
 
 105 105 107 
 
 go go go 
 
 9 2 9 2 93 
 g6 g7 99 
 103 105 107 
 109 112 115 
 
 90 go g i 
 94 94 95 
 
 IOO IOI 102 
 
 109 in 113 
 
 117 1 2O 121 
 
 Applied Constant : + 90. The unit in this Table equals o d 'oooooi. 
 
LV 
 
 SATELLITE III 
 
 Tables of the Phenomena 
 
 Equation of Semiduration 
 
 Sh., Tr. 
 
 \ 8 
 \ 
 
 O d O O 4 O d 8 
 
 t d. 2 |d. 6 2 d -0 
 
 2 d '4 2 d 8 3 d 2 
 
 3 d. 6 4.d. o 4 d-4. 
 
 4 d 8 5 d. 2 5d. 6 
 
 60 6 d- 4 6 d- 8 
 
 7.1. 2 7 d- 6 8 d. Q 
 
 d 
 
 
 
 
 
 
 
 
 0-0 
 
 22 22 23 
 
 24 25 2 7 
 
 28 29 30 
 
 30 30 29 
 
 28 27 25 
 
 24 23 22 
 
 22 22 23 
 
 02 
 
 27 28 29 
 
 30 32 33 
 
 34 34 35 
 
 34 33 32 
 
 30 29 27 
 
 27 26 27 
 
 28 28 29 
 
 04 
 
 41 42 44 
 
 45 47 4 8 
 
 48 47 47 
 
 46 44 42 
 
 41 40 38 
 
 38 39 39 
 
 41 42 43 
 
 06 
 
 61 63 65 
 
 66 67 68 
 
 67 66 64 
 
 62 60 58 
 
 57 56 56 
 
 56 57 59 
 
 61 63 65 
 
 03 
 
 82 85 88 
 
 90 90 90 
 
 88 86 83 
 
 80 77 75 
 
 74 73 73 
 
 74 77 80 
 
 82 85 88 
 
 10 
 
 101 105 107 
 
 109 no 109 
 
 106 102 98 
 
 95 9 1 9 
 
 88 88 89 
 
 92 95 9 8 
 
 102 106 109 
 
 
 
 
 
 
 
 
 
 12 
 
 114 117 121 
 
 124 123 122 
 
 1 19 115 no 
 
 1 06 1 02 100 
 
 98 99 100 
 
 103 1 06 no 
 
 114 119 122 
 
 14 
 
 I2O 124 128 
 
 131 131 129 
 
 126 122 116 
 
 in 108 106 
 
 105 104 1 06 
 
 1 09 112 1 1 6 
 
 121 125 128 
 
 16 
 
 119 124 129 
 
 133 134 133 
 
 129 125 119 
 
 114 109 1 06 
 
 105 104 105 
 
 107 III 115 
 
 I2O 125 I3O 
 
 1-8 
 
 118 123 129 
 
 '33 136 135 
 
 133 128 123 
 
 1 18 113 110 
 
 107 1 06 1 06 
 
 108 no 114 
 
 118 124 129 
 
 2-0 
 
 1 14 119 12; 
 
 13 '33 '34 
 
 132 129 123 
 
 118 114 1 10 
 
 107 1 06 1 06 
 
 1 06 1 08 in 
 
 115 I2O 125 
 
 
 I 
 
 
 
 
 
 
 22 
 
 112 1 l6 121 
 
 126 130 130 
 
 130 128 124 
 
 119 115 in 
 
 108 105 105 
 
 104 105 109 
 
 112 117 122 
 
 24 
 
 104 IO7 112 
 
 116 119 120 
 
 i 20 118 114 
 
 in 107 103 
 
 100 98 97 
 
 97 98 100 
 
 IO4 1 08 112 
 
 2-6 
 
 92 95 99 
 
 102 IO5 I O6 
 
 106 104 102 
 
 98 95 92 
 
 89 86 86 
 
 86 87 90 
 
 9* 95 99 
 
 2-8 
 
 78 81 84 
 
 87 88 88 
 
 87 86 83 
 
 80 76 75 i 72 71 71 
 
 72 73 75 
 
 78 81 84 
 
 3-0 
 
 61 63 65 
 
 66 66 66 
 
 65 63 61 
 
 59 57 55 
 
 54 54 54 
 
 55 57 59 
 
 61 63 65 
 
 32 
 
 44 45 46 
 
 47 46 45 
 
 44 42 4i 
 
 3 8 37 37 
 
 37 37 3 8 
 
 39 4 1 4* 
 
 44 46 4 6 
 
 34 
 
 34 34 34 
 
 34 32 3i 
 
 30 28 26 
 
 26 25 26 
 
 26 27 28 
 
 30 31 32 
 
 34 34 34 
 
 36 
 
 30 30 29 
 
 28 27 25 
 
 2 4 23 22 
 
 22 22 23 
 
 24 25 27 
 
 28 29 30 
 
 30 30 29 
 
 38 
 
 35 34 33 
 
 31 29 28 
 
 28 27 26 
 
 28 29 31 
 
 32 33 35 
 
 36 36 35 
 
 35 34 32 
 
 40 
 
 48 46 44 
 
 43 41 41 
 
 40 40 42 
 
 43 45 4 6 
 
 48 49 50 
 
 5 5 49 
 
 4 8 46 44 
 
 42 
 
 64 63 61 
 
 59 57 57 
 
 57 59 61 
 
 63 66 68 
 
 70 71 71 
 
 70 68 66 
 
 64 62 59 
 
 44 
 
 81 78 76 
 
 75 74 75 
 
 77 7 8 81 
 
 85 87 90 
 
 91 92 91 
 
 90 87 84 
 
 81 78 76 
 
 46 
 
 96 93 91 
 
 90 90 91 
 
 9* 9 6 99 
 
 104 107 no 
 
 112 III IIO 
 
 107 104 100 
 
 96 93 91 
 
 4'8 
 5-0 
 
 107 103 101 
 
 112 I OS 1 06 
 
 99 99 i oo 
 104 104 1 06 
 
 103 106 no 
 108 in 115 
 
 114 118 122 
 
 I2O 125 129 
 
 125 124 122 
 
 131 133 130 
 
 119 115 in 
 126 121 116 
 
 106 102 100 
 in 1 08 106 
 
 52 
 
 117 113 no 
 
 107 107 108 
 
 1 10 113 117 
 
 122 127 132 
 
 135 137 135 
 
 132 127 122 
 
 117 113 109 
 
 5-4 
 
 119 114 no 
 
 108 106 107 
 
 107 109 113 
 
 117 122 128 
 
 133 '35 '36 
 
 133 I2 9 124 
 
 ITS 114 IIO 
 
 5-6 
 
 120 I l6 III 
 
 108 106 105 
 
 106 108 no 
 
 114 119 125 
 
 129 133 '34 
 
 132 129 125 
 
 1 2O 115 III 
 
 5-8 
 
 118 113 108 
 
 106 103 102 
 
 103 104 106 
 
 IIO 115 120 
 
 125 128 129 
 
 129 126 122 
 
 118 112 108 
 
 60 
 
 III 107 103 
 
 100 97 96 
 
 95 97 100 
 
 103 107 III 
 
 115 i 18 1 19 
 
 120 118 114 
 
 in 107 103 
 
 6'2 
 
 96 92 89 
 
 86 85 84 
 
 85 86 88 
 
 92 95 98 
 
 101 103 105 
 
 104 102 99 
 
 95 92 89 
 
 64 
 
 76 73 71 
 
 69 68 68 
 
 68 70 72 
 
 75 77 80 
 
 83 84 84 
 
 83 81 79 
 
 76 73 70 
 
 66 
 
 55 53 52 
 
 50 50 51 
 
 52 53 55 
 
 57 60 60 
 
 62 62 62 
 
 60 59 56 
 
 55 53 5' 
 
 68 
 
 37 36 35 
 
 34 36 37 
 
 3 8 39 4' 
 
 43 44 44 
 
 45 44 43 
 
 42 4 39 
 
 37 36 35 
 
 7O 
 
 25 25 24 
 
 25 27 28 
 
 29 30 32 
 
 33 33 33 
 
 33 32 3 
 
 29 27 26 
 
 25 25 24 
 
 7'2 
 
 22 23 24 
 
 25 27 28 
 
 29 30 30 
 
 30 30 29 28 27 25 
 
 24 23 22 
 
 22 22 24 
 
 7'4 
 
 29 30 32 
 
 34 35 36 36 37 37 
 
 36 35 34 32 3i 3 
 
 29 29 29 
 
 3 3' 33 
 
 - o 
 
 7-6 
 7-8 
 
 45 46 48 
 
 65 68 71 
 
 51 52 52 52 52 50 
 
 72 73 73 72 71 69 
 
 48 46 45 ; 43 42 42 
 66 64 62 j 60 59 58 
 
 41 42 44 
 60 61 63 
 
 45 4 6 48 
 65 68 71 
 
 o s 
 
 80 
 
 86 89 92 
 
 94 93 93 9' 88 8 5 
 
 82 79 77 76 75 77 
 
 78 81 84 
 
 86 90 92 
 
 Applied Constant : +90. The unit in this Table is equal to o d -oooooi. 
 199 
 
LVI 
 
 SATELLITE III 
 
 Tables of the Phenomena 
 
 Reduction to Middle 
 
 Argument O 
 
 I 
 
 2 
 
 3 
 
 4 
 
 5 
 
 Eel., Oc. 
 
 A 
 O d t)I 
 
 
 
 Sh., Tr. 
 
 A 
 O d 'OI 
 
 d 
 
 
 d 
 
 d 
 
 
 -O - OOO36o 
 
 - *7,5 
 
 000 
 
 - 0-000440 - 36,0 
 
 470 
 
 27,5 
 
 04 
 
 584 : 35,9 
 
 580 
 
 27,3 
 
 O8 
 
 727 35,6 
 
 688 
 
 26,8 
 
 12 
 
 869 35,3 
 
 794 
 
 26,3 
 
 16 
 
 1009 34,6 
 
 898 
 
 25,8 
 
 20 
 
 1146 33,8 
 
 - O'OOIOOO 
 
 - 25,1 
 
 0-24 
 
 -0-001279 - 32,8 
 
 1099 
 
 M.4 
 
 28 
 
 1408 31,6 
 
 1195 
 
 23,4 
 
 32 
 
 1532 30,4 
 
 1286 
 
 21,8 
 
 36 
 
 1651 29,1 
 
 1373 
 
 21,0 
 
 4O 
 
 1765 27,5 
 
 -0-001454 
 
 - i9> 6 
 
 O44 
 
 -0-001871 
 
 -25,6 
 
 1530 
 
 18,3 
 
 48 
 
 1970 
 
 23,9 
 
 1600 
 
 1 6,8 
 
 52 
 
 2062 22,0 
 
 1664 
 
 15,3 
 
 56 
 
 2146 19,9 
 
 17*2 
 
 13,6 
 
 60 
 
 2221 17,8 
 
 -0-001773 
 
 - ",9 
 
 064 
 
 -0-002288 - 15,6 
 
 1817 
 
 10,1 
 
 68 
 
 234 6 '3,3 
 
 1854 
 
 8,4 
 
 72 
 
 2394 ; 10,9 
 
 1884 
 
 6,5 
 
 76 
 
 2433 8,5 
 
 1906 
 
 4,5 
 
 8O 
 
 2462 6,0 
 
 -0*001920 
 
 - 2,6 
 
 084 
 
 -0*00248 1 - 3,4 
 
 1927 
 
 - 0,6 
 
 88 
 
 2489 
 
 - 0,9 
 
 1925 
 
 + i,4 
 
 92 
 
 2488 
 
 + 1,6 
 
 1916 
 
 S,' 
 
 96 
 
 2476 
 
 4,i 
 
 1900 
 
 5,o 
 
 1 00 
 
 2455 
 
 6,6 
 
 -0-001876 
 
 + 7,o 
 
 1 O4 
 
 -0^002423 
 
 + 9,' 
 
 1844 
 
 8,9 
 
 08 
 
 2382 
 
 ", 5 
 
 1805 
 
 10,6 
 
 12 
 
 2331 
 
 13,9 
 
 1759 
 
 12,3 
 
 16 
 
 2271 
 
 ,6,1 
 
 1707 
 
 14,0 
 
 2O 
 
 22O2 
 
 18,4 
 
 -0-001647 
 
 + 15,8 
 
 1 24 
 
 O'OO2I24 
 
 + 20,6 
 
 1581 
 
 17,3 
 
 28 
 
 2037 
 
 22,6 
 
 1509 
 
 18,8 
 
 32 
 
 '943 
 
 24,4 
 
 1431 
 
 20,1 
 
 36 
 
 1842 
 
 26,3 
 
 1348 
 
 *i>3 
 
 40 
 
 1733 
 
 28,0 
 
 -0-00126 1 
 
 + 22,4 
 
 1 44 
 
 -0-001618 
 
 + 29,4 
 
 1 169 
 
 23,6 
 
 48 
 
 1498 
 
 30,8 
 
 1072 
 
 24,6 
 
 52 
 
 1372 
 
 32,1 
 
 972 
 
 25,3 
 
 56 
 
 1241 
 
 33,i 
 
 870 
 
 2 5,9 
 
 60 
 
 1107 
 
 34,o 
 
 -0-000765 
 
 + 26,6 
 
 1 64 
 
 -0-000969 
 
 + 34,8 
 
 657 
 
 7i' 
 
 68 
 
 829 
 
 35,4 
 
 548 
 
 27,3 
 
 72 
 
 686 
 
 35,8 
 
 439 
 
 27,4 
 
 76 
 
 543 
 
 35,9 
 
 329 
 
 27,5 
 
 80 
 
 399 
 
 36,0 
 
 0-000219 
 
 + 27,4 
 
 1 84 
 
 -0-000255 
 
 + 35,9 
 
 no 
 
 27,' 
 
 88 
 
 112 
 
 35,5 
 
 2 
 
 26,9 
 
 92 
 
 + 29 
 
 35,o 
 
 + 105 
 
 26,4 
 
 96 
 
 168 
 
 34,4 
 
 4- 0-000209 
 
 + 25,6 
 
 2*00 
 
 + 0-000304 
 
 + 33,5 
 
 I 
 
 2 
 
 3 
 
 4 
 
 5 
 
 Eel., Oc. 
 
 A 
 
 O d 'OI 
 
 O 
 
 Sh., Tr. 
 
 A 
 O d 'OI 
 
 d 
 
 
 d 
 
 d 
 
 
 + O-OOO2O9 
 
 + 25,6 
 
 2 00 
 
 + O-OO0304 
 
 + 33,5 
 
 310 
 
 24,8 
 
 04 
 
 436 
 
 32,5 
 
 407 
 
 23,9 
 
 08 
 
 564 
 
 3',4 
 
 501 
 
 23, 
 
 12 
 
 687 
 
 3,o 
 
 59 1 
 
 21,9 
 
 16 
 
 804 
 
 28,6 
 
 676 
 
 20,6 
 
 20 
 
 9l6 
 
 27,0 
 
 + 0-000756 
 
 + 19,4 
 
 224 
 
 + O-OOIO2O 
 
 + 25,3 
 
 831 
 
 '7,9 
 
 28 
 
 1118 
 
 23,5 
 
 899 
 
 '6,3 
 
 32 
 
 1208 
 
 2',4 
 
 961 
 
 14,8 
 
 36 
 
 1289 
 
 '9,3 
 
 1017 
 
 '3,3 
 
 40 
 
 1362 
 
 '7,' 
 
 + 0-001067 
 
 + 11,5 
 
 2'44 
 
 + 0-001426 
 
 + '4,9 
 
 1109 
 
 9,5 
 
 48 
 
 1481 
 
 '2,5 
 
 "43 
 
 7,6 
 
 52 
 
 1526 
 
 10,1 
 
 1170 
 
 5,9 
 
 56 
 
 1562 
 
 7,8 
 
 1 190 
 
 4,' 
 
 60 
 
 1588 
 
 5,3 
 
 + 0-001203 
 
 + 2,1 
 
 264 
 
 + 0-001604 
 
 + 2,8 
 
 1207 
 
 + 0,1 
 
 68 
 
 1610 
 
 + 0,3 
 
 1204 
 
 - ',8 
 
 72 
 
 1606 
 
 - 2 ,4 
 
 H93 
 
 3,8 
 
 76 
 
 '59' 
 
 4,9 
 
 1174 
 
 5,6 
 
 80 
 
 1567 
 
 7,4 
 
 + 0-001148 
 
 7,5 
 
 2-84 
 
 + 0-001532 
 
 - 9,9 
 
 ii 14 
 
 9,4 
 
 88 
 
 1488 
 
 12,1 
 
 1073 
 
 1 1,1 
 
 92 
 
 '435 
 
 '4,5 
 
 1025 
 
 12,8 
 
 96 
 
 1372 
 
 16,9 
 
 97' 
 
 '4,5 
 
 300 
 
 1300 
 
 19,0 
 
 + 0-000909 
 
 - '6,3 
 
 304 
 
 + O-OOI22O 
 
 - 21,1 
 
 841 
 
 17,8 
 
 08 
 
 II3I 
 
 23,' 
 
 767 
 
 '9,' 
 
 12 
 
 1035 
 
 25,0 
 
 688 
 
 20,4 
 
 16 
 
 93' 
 
 26,8 
 
 604 
 
 21,6 
 
 20 
 
 821 
 
 28,4 
 
 + 0-000515 
 
 - 22,8 
 
 324 
 
 + 0-000704 
 
 - 2 9>9 
 
 422 
 
 23,9 
 
 28 
 
 582 
 
 3', ' 
 
 324 
 
 24,9 
 
 32 
 
 455 
 
 32,4 
 
 223 
 
 25,5 
 
 36 
 
 323 
 
 33,4 
 
 120 
 
 26,1 
 
 40 
 
 1 88 
 
 34,' 
 
 + O-OOOOI4 
 
 - 26,8 
 
 344 
 
 + 0-000050 
 
 - 34,9 
 
 94 
 
 27,1 
 
 48 
 
 9' 
 
 35,5 
 
 203 
 
 27,3 
 
 52 
 
 234 
 
 35,9 
 
 312 
 
 27,4 
 
 56 
 
 378 
 
 36,0 
 
 422 
 
 27,4 
 
 60 
 
 522 
 
 35,9 
 
 - 0-000532 
 
 - 27,4 
 
 364 
 
 - 0-000665 
 
 - 35,8 
 
 641 
 
 27,1 
 
 68 
 
 808 
 
 35,4 
 
 749 
 
 26,6 
 
 72 
 
 948 
 
 34,9 
 
 854 
 
 26,0 
 
 76 
 
 1087 
 
 34,3 
 
 957 
 
 25,5 
 
 80 
 
 1222 
 
 33,3 
 
 -0-001058 
 
 - 24,6 
 
 384 
 
 -0-001353 
 
 - 32,' 
 
 1154 
 
 23,6 
 
 88 
 
 '479 
 
 3',o 
 
 1247 
 
 22,8 
 
 92 
 
 1601 
 
 29,8 
 
 1336 
 
 2',5 
 
 96 
 
 '7'7 
 
 28,1 
 
 -0-001419 
 
 - 20,1 
 
 400 
 
 -0-001826 
 
 - 26,4 
 
 Applied Constant : - o d 'ooo4oo. This Table includes a constant portion of the Equation of Light. The Entry must be 
 
 corrected by the Equations of Tables LVII-LXIV. The whole must be corrected by adding to it its product by the Variation, as drawn from 
 
 Tables XXXIH-XXXVI. For Shadows and Transits it must also be corrected for Jupiter's Phase by Table LXV. 
 
LVI continued 
 
 SATELLITE III 
 
 Tables of the Phenomena 
 
 Reductions to Middle 
 
 Argument O 
 
 I 
 
 z 
 
 3 
 
 4 
 
 5 
 
 Eel., Oc. 
 
 A 
 O d> OI 
 
 O 
 
 Sh., Tr. 
 
 A 
 O d 'OI 
 
 d 
 
 
 d 
 
 d 
 
 
 -0'OOI4I9 
 
 -20,1 
 
 400 
 
 -0-001826 
 
 -26,4 
 
 '497 
 
 1 8,9 
 
 04 
 
 1928 
 
 24,6 
 
 1570 
 
 '7,4 
 
 08 
 
 2023 
 
 22,8 
 
 1636 
 
 '5,9 
 
 12 
 
 tuo 
 
 20,8 
 
 1697 
 
 '4,4 
 
 16 
 
 2189 
 
 18,8 
 
 '75' 
 
 12,6 
 
 20 
 
 2260 
 
 '6,5 
 
 -0-001798 
 
 -10,9 
 
 424 
 
 -0-002321 
 
 -14,1 
 
 1838 
 
 9.' 
 
 28 
 
 2373 
 
 ",9 
 
 1871 
 
 7,3 
 
 32 
 
 2416 
 
 9,5 
 
 1896 
 
 5,4 
 
 36 
 
 2449 
 
 7,i 
 
 1914 
 
 3,5 
 
 40 
 
 2473 
 
 4,2 
 
 -0-001924 
 
 - ',5 
 
 444 
 
 - 0-002486 
 
 ',9 
 
 1926 
 
 + 0,5 
 
 48 
 
 2488 
 
 + 0,6 
 
 1920 
 
 *,4 
 
 52 
 
 2481 
 
 3,o 
 
 1907 
 
 4,3 
 
 56 
 
 2464 
 
 5,5 
 
 1886 
 
 6,1 
 
 60 
 
 2437 
 
 8,0 
 
 -0-001858 
 
 + 8,0 
 
 4-64 
 
 - 0-002400 
 
 + 10,5 
 
 1822 
 
 9,9 
 
 68 
 
 *353 
 
 12,9 
 
 1779 
 
 11,6 
 
 72 
 
 2297 
 
 '5,1 
 
 1729 
 
 13,3 
 
 76 
 
 2232 
 
 7,4 
 
 "673 
 
 H,9 
 
 8O 
 
 2158 
 
 19,6 
 
 -0-001610 
 
 + 16,6 
 
 4-84 
 
 -0-002075 
 
 + 21,8 
 
 1540 
 
 1 8,1 
 
 88 
 
 1984 
 
 23,6 
 
 1465 
 
 '9,5 
 
 92 
 
 1886 
 
 25,5 
 
 1384 
 
 20,8 
 
 96 
 
 1780 
 
 27,3 
 
 1299 
 
 *',9 
 
 5OO 
 
 1668 
 
 28,8 
 
 0-001209 
 
 + *3,i 
 
 5O4 
 
 -0-001550 
 
 + 30,3 
 
 1114 
 
 24,3 
 
 08 
 
 1426 
 
 31,5 
 
 1015 
 
 25,0 
 
 12 
 
 1298 
 
 32,6 
 
 9'4 
 
 25,6 
 
 16 
 
 1165 
 
 33,6 
 
 810 
 
 26,3 
 
 20 
 
 1029 
 
 34,4 
 
 - 0-000704 
 
 + 26,9 
 
 524 
 
 -0-000890 
 
 + 35,1 
 
 595 
 
 27,3 
 
 28 
 
 748 
 
 35,6 
 
 486 
 
 27,3 
 
 32 
 
 605 
 
 35,9 
 
 377 
 
 27,4 
 
 36 
 
 461 
 
 3 6 , 
 
 267 
 
 27,5 
 
 40 
 
 3i7 
 
 35,9 
 
 -0-000157 
 
 + 27,3 
 
 544 
 
 -o'oooi74 
 
 + 35,6 
 
 49 
 
 27,0 
 
 48 
 
 3* 
 
 35>3 
 
 + 59 
 
 26,6 
 
 52 
 
 + 108 
 
 34,6 
 
 164 
 
 25,9 
 
 56 
 
 245 
 
 33,9 
 
 266 
 
 25,' 
 
 60 
 
 379 
 
 33,o 
 
 + 0-000365 
 
 + 24,4 
 
 564 
 
 + 0-000509 
 
 + 31,9 
 
 461 
 
 23,5 
 
 68 
 
 634 
 
 30,5 
 
 553 
 
 22,3 
 
 72 
 
 753 
 
 29,1 
 
 639 
 
 21, 
 
 76 
 
 867 
 
 27,8 
 
 721 
 
 2O,0 
 
 80 
 
 975 
 
 26,1 
 
 + 0-000799 
 
 + 18,6 
 
 5'84 
 
 j +0*001076 
 
 + 24,4 
 
 870 
 
 1 6,9 
 
 88 1170 
 
 22,3 
 
 934 
 
 15,4 
 
 92 1254 
 
 20,0 
 
 993 
 
 13,9 
 
 96 1330 
 
 1 8,0 
 
 + 0-001045 
 
 + 12,1 
 
 6'OO +0-001398 
 
 + '5,9 
 
 . 
 
 I 
 
 3 
 
 4 
 
 5 
 
 Eel., Oc. 
 
 A 
 
 
 
 Sh., Tr. 
 
 A 
 
 d 
 + O-OOIO45 
 
 + 12,1 
 
 d 
 
 600 
 
 d 
 + 0-001398 
 
 + '5,9 
 
 1090 
 
 10,4 
 
 O4 
 
 '457 
 
 '3,6 
 
 1128 
 
 8,5 
 
 O8 
 
 1507 
 
 1 1,3 
 
 1158 
 
 6,6 
 
 12 
 
 '547 
 
 8,8 
 
 1181 
 
 4,9 
 
 16 
 
 '577 
 
 6,3 
 
 "97 
 
 
 20 
 
 '597 
 
 3,8 
 
 + 0-001205 
 
 + 1,0 
 
 624 
 
 + 0-001607 
 
 + ',4 
 
 1205 
 
 - 1,0 
 
 28 
 
 1608 
 
 - 1,3 
 
 1197 
 
 2,9 
 
 32 
 
 '597 
 
 3,9 
 
 1182 
 
 4,8 
 
 36 
 
 '577 
 
 6,3 
 
 "59 
 
 6,6 
 
 40 
 
 '547 
 
 8,8 
 
 + 0-001129 
 
 - 8,5 
 
 644 
 
 + 0-001507 
 
 -n, i 
 
 1091 
 
 10,4 
 
 48 
 
 1458 
 
 '3,5 
 
 1046 
 
 12,1 
 
 52 
 
 '399 
 
 '5,9 
 
 994 
 936 
 
 '3,8 
 '5,5 
 
 56 
 60 
 
 '33' 
 '254 
 
 18,1 
 20,3 
 
 + 0-000870 
 
 -'7,' 
 
 6-64 
 
 + 0-001169 
 
 -22,3 
 
 799 
 
 18,5 
 
 68 
 
 1076 
 
 24,1 
 
 722 
 
 '9-9 
 
 72 
 
 976 
 
 25,9 
 
 640 
 
 21,1 
 
 76 
 
 869 
 
 27,6 
 
 553 
 
 22,3 
 
 80 
 
 755 
 
 29,3 
 
 + 0-000462 
 
 -23,4 
 
 684 
 
 + 0-000635 
 
 -3,6 
 
 366 
 
 24,4 
 
 88 
 
 S'o 
 
 3',9 
 
 267 
 
 25,3 
 
 92 
 
 380 
 
 33,o 
 
 164 
 
 26,O 
 
 96 
 
 246 
 
 33,9 
 
 + 59 
 
 26,4 
 
 700 
 
 + 109 
 
 34,5 
 
 - 0-000047 
 
 -26,9 
 
 704 
 
 - 0-000030 
 
 -35,' 
 
 156 
 
 27,3 
 
 O8 
 
 172 
 
 35,8 
 
 265 
 
 27,3 
 
 12 
 
 3'6 
 
 36,0 
 
 374 
 
 27,5 
 
 16 
 
 460 
 
 35,9 
 
 485 
 
 27,5 
 
 2O 
 
 603 
 
 35,8 
 
 -0-000594 
 
 -27,1 
 
 724 
 
 -0-000746 
 
 -35,6 
 
 702 
 
 26,9 
 
 28 
 
 888 
 
 35,' 
 
 809 
 
 26,4 
 
 32 
 
 1027 
 
 34,4 
 
 9'3 
 1014 
 
 25,6 
 25,0 
 
 36 
 4O 
 
 1163 
 1296 
 
 33,6 
 32,8 
 
 -0-001113 
 
 -24,1 
 
 744 
 
 -0-001425 
 
 -3', 5 
 
 1207 
 
 23,' 
 
 48 
 
 1548 
 
 30,3 
 
 1298 
 
 22,3 
 
 52 
 
 1667 
 
 28,9 
 
 1385 
 
 21,0 
 
 56 
 
 1779 
 
 27,4 
 
 1466 
 
 '9,5 
 
 6O 
 
 1886 
 
 25,8 
 
 -0-001541 
 1610 
 
 -i 8,0 
 1 6,6 
 
 7-64 
 68 
 
 -0-001985 
 2076 
 
 -23,8 
 
 21,6 
 
 '674 
 
 '5,' 
 
 72 
 
 2158 
 
 19,6 
 
 1731 
 
 13,4 
 
 76 
 
 2233 
 
 '7,6 
 
 1781 
 
 11,6 
 
 80 
 
 2299 
 
 '5,' 
 
 -0-001824 
 1860 
 
 - 9,9 
 
 8,1 
 
 784 
 88 
 
 -0-002354 
 2401 
 
 - 12,8 
 
 10,6 
 
 1889 
 
 6,3 
 
 92 
 
 2439 
 
 8,0 
 
 1910 
 -0-001923 
 
 4,3 
 - 2,3 
 
 96 
 
 800 
 
 2465 
 - 0-002480 
 
 - 2^4 
 
 Applied Constant : - o'ooo4<x>. 
 
 corrected by the Equations of Tables 
 Table XXXIII-XXXVI. 
 
 This Table includes a constant portion of the Equation of Light. The Entry must be 
 
 LVII-LXIV. The whole must be corrected by adding to it its product by the Variation, s drawn frc 
 
 For Shadows and Transits it must also be corrected for Jupiter's Phase by Table LXV. 
 
 26 
 
LVII 
 
 i 
 
 2 
 
 P 
 
 K,0.,S.,T. 
 
 d 
 00 
 
 d 
 O'OOOO2O 
 
 1 
 
 *4 
 
 2 
 
 27 
 
 3 
 
 3 
 
 4 
 
 3* 
 
 5 
 
 35 
 
 06 
 
 0-000037 
 
 7 
 
 38 
 
 8 
 
 39 
 
 9 
 
 39 
 
 1-0 
 
 39 
 
 1-1 
 
 0-000038 
 
 2 
 
 37 
 
 3 
 
 35 
 
 4 
 
 32 
 
 5 
 
 29 
 
 1-6 
 
 0-000026 
 
 7 
 
 23 
 
 8 
 
 9 
 
 9 
 
 1 6 
 
 20 
 
 '3 
 
 2-1 
 
 O-OOOOIO 
 
 2 
 
 7 
 
 3 
 
 5 
 
 4 
 
 3 
 
 5 
 
 2 
 
 26 
 
 o-oooooi 
 
 7 
 
 I 
 
 8 
 
 I 
 
 9 
 
 2 
 
 30 
 
 3 
 
 31 
 
 0-000005 
 
 2 
 
 8 
 
 3 
 
 1 1 
 
 4 
 
 H 
 
 5 
 
 '7 
 
 36 
 
 O-OOO02 I 
 
 7 
 
 2 4 
 
 8 
 
 27 
 
 9 
 
 30 
 
 40 
 
 O-OOOO33 
 
 Constant : +<Aoooo2o. 
 
 SATELLITE III 
 
 Tables of the Phenomena 
 
 Equations of the Reduction 
 
 LVIII 
 
 I 
 
 2 
 
 3 
 
 4 
 
 5 
 
 Eel., Oc. 
 
 A 
 O d 'OI 
 
 Q 
 
 Sh., Tr. 
 
 A 
 O d 'OI 
 
 d 
 
 
 d 
 
 d 
 
 
 O-OOO29O 
 
 -3,5 
 
 000 
 
 O-OO029O 
 
 -4,0 
 
 276 
 
 3,5 
 
 O4 
 
 274 
 
 4,o 
 
 262 
 
 3,5 
 
 O8 
 
 2 S 8 
 
 4,0 
 
 2 4 8 
 
 3,4 
 
 12 
 
 242 
 
 3,9 
 
 235 
 
 3,4 
 
 16 
 
 227 
 
 3,9 
 
 221 
 
 3,4 
 
 2O 
 
 211 
 
 3,9 
 
 0-000208 
 
 -3,3 
 
 024 
 
 O-OOOI96 
 
 -3,6 
 
 195 
 
 3,1 
 
 28 
 
 182 
 
 3,5 
 
 183 
 
 2,9 
 
 32 
 
 1 68 
 
 3,4 
 
 172 
 
 2,8 
 
 36 
 
 '55 
 
 3,3 
 
 161 
 
 2,6 
 
 40 
 
 142 
 
 3,' 
 
 0-000151 
 
 -2,5 
 
 044 
 
 0-000130 
 
 -2,9 
 
 141 
 
 2,4 
 
 48 
 
 119 
 
 2,6 
 
 132 
 
 2,3 
 
 52 
 
 109 
 
 2,4 
 
 123 
 
 2,0 
 
 56 
 
 IOO 
 
 2,3 
 
 116 
 
 1,8 
 
 6O 
 
 9 1 
 
 2,0 
 
 0-000109 
 
 -1,5 
 
 064 
 
 0-000084 
 
 -1,8 
 
 104 
 
 1,3 
 
 68 
 
 77 
 
 i,5 
 
 99 
 
 1,1 
 
 72 
 
 72 
 
 ',3 
 
 95 
 
 0,8 
 
 76 
 
 67 
 
 0,9 
 
 93 
 
 o,5 
 
 80 
 
 65 
 
 0,6 
 
 0-000091 
 
 -0,4 
 
 084 
 
 0*000062 
 
 -o,5 
 
 9 
 
 -0,1 
 
 88 
 
 61 
 
 0,0 
 
 90 
 
 + 0,1 
 
 92 
 
 62 
 
 + 0,3 
 
 9i 
 
 o,4 
 
 96 
 
 63 
 
 o,5 
 
 93 
 
 0,6 
 
 TOO 
 
 66 
 
 0,8 
 
 0-000096 
 
 + 0,9 
 
 1 04 
 
 0-000069 
 
 + 1,0 
 
 IOO 
 
 1,1 
 
 O8 
 
 74 
 
 1,4 
 
 105 
 
 i,4 
 
 12 
 
 80 
 
 ',5 
 
 in 
 
 1,6 
 
 16 
 
 86 
 
 1,8 
 
 III 
 
 1,8 
 
 20 
 
 94 
 
 2,0 
 
 0-000125 
 
 + 2,0 
 
 1 24 
 
 0-000102 
 
 + 2,3 
 
 134 
 
 2,3 
 
 28 
 
 112 
 
 2,6 
 
 H3 
 
 2,4 
 
 32 
 
 123 
 
 2,8 
 
 S3 
 
 2,6 
 
 36 
 
 I4 
 
 2,9 
 
 164 
 
 2,8 
 
 40 
 
 146 
 
 3,0 
 
 0-000175 
 
 + 2,8 
 
 1 44 
 
 0-000158 
 
 + 3,2 
 
 186 
 
 3,0 
 
 48 
 
 172 
 
 3,4 
 
 199 
 
 3,2 
 
 52 
 
 185 
 
 3,5 
 
 212 
 
 3,3 
 
 56 
 
 200 
 
 3,8 
 
 225 
 
 3,3 
 
 60 
 
 215 
 
 3,9 
 
 0-000238 
 
 + 3,4 
 
 1 64 
 
 0-000231 
 
 + 3,9 
 
 2 5 2 
 
 3,5 
 
 68 
 
 246 
 
 4,o 
 
 266 
 
 3,5 
 
 72 
 
 263 
 
 
 280 
 
 3,5 
 
 76 
 
 278 
 
 3,9 
 
 294 
 
 3,5 
 
 80 
 
 294 
 
 4,1 
 
 O-O00308 
 
 + 3,5 
 
 1 84 
 
 0-000311 
 
 + 4,o 
 
 322 
 
 3,4 
 
 88 
 
 326 
 
 3,9 
 
 335 
 
 3,4 
 
 92 
 
 342 
 
 4,o 
 
 349 
 
 3,4 
 
 96 
 
 358 
 
 3,9 
 
 0-000362 
 
 + 3,3 
 
 2 00 
 
 0-000373 
 
 + 3,6 
 
 Applied Constant: +o d -ooo29o. 
 
 202 
 
 i 
 
 2 
 
 3 
 
 4 
 
 5 
 
 Eel., Oc. 
 
 A 
 
 Q 
 
 Sh., Tr. 
 
 A 
 O d 'OI 
 
 d 
 
 
 d 
 
 d 
 
 
 0-000362 
 
 + 3,3 
 
 200 
 
 O'OOO373 
 
 + 3,6 
 
 375 
 
 3,2 
 
 O4 
 
 387 
 
 3,6 
 
 388 
 
 3,o 
 
 08 
 
 4 02 
 
 3,5 
 
 399 
 
 2,9 
 
 12 
 
 415 
 
 3,3 
 
 411 
 
 2,9 
 
 16 
 
 428 
 
 3,1 
 
 422 
 
 2,5 
 
 20 
 
 440 
 
 3,o 
 
 0-000431 
 
 + 2,4 
 
 2-24 
 
 O-OO0452 
 
 + 2,9 
 
 441 
 
 2,4 
 
 28 
 
 463 
 
 2,6 
 
 450 
 
 2,1 
 
 32 
 
 473 
 
 2,4 
 
 458 
 
 ,9 
 
 36 
 
 482 
 
 2,1 
 
 465 
 
 ,8 
 
 4O 
 
 49 
 
 
 0-000472 
 
 + ,5 
 
 244 
 
 0-000497 
 
 + 1,6 
 
 477 
 
 ,i 
 
 48 
 
 53 
 
 1,4 
 
 481 
 
 ,o 
 
 52 
 
 508 
 
 !,3 
 
 485 
 
 0,8 
 
 56 
 
 513 
 
 >9 
 
 487 
 
 o,4 
 
 60 
 
 515 
 
 ,5 
 
 0-000488 
 
 + 0,2 
 
 264 
 
 0-000517 
 
 + o,5 
 
 489 
 
 + 0,1 
 
 68 
 
 5i9 
 
 0,0 
 
 489 
 
 -0,2 
 
 72 
 
 517 
 
 -o>5 
 
 487 
 
 o,5 
 
 76 
 
 
 
 485 
 
 0,8 
 
 80 
 
 5i3 
 
 o',8 
 
 0-000481 
 
 -0,9 
 
 2-84 
 
 0-000509 
 
 -i,i 
 
 478 
 
 1,0 
 
 88 
 
 54 
 
 1,4 
 
 473 
 
 1,5 
 
 92 
 
 498 
 
 1,6 
 
 466 
 
 1,6 
 
 96 
 
 491 
 
 
 460 
 
 1,8 
 
 300 
 
 483 
 
 2,1 
 
 0-000452 
 
 -2,1 
 
 3 04 
 
 0-000474 
 
 -2,3 
 
 443 
 
 2,4 
 
 08 
 
 465 
 
 2,6 
 
 433 
 
 2,5 
 
 12 
 
 453 
 
 2,9 
 
 423 
 
 2,6 
 
 16 
 
 442 
 
 2,9 
 
 412 
 
 2,8 
 
 20 
 
 430 
 
 3,1 
 
 0-000401 
 
 -*>9 
 
 324 
 
 0-000417 
 
 -3,4 
 
 389 
 
 3,o 
 
 28 
 
 403 
 
 3-5 
 
 377 
 
 3,2 
 
 32 
 
 389 
 
 3,5 
 
 363 
 
 3,3 
 
 36 
 
 375 
 
 3,6 
 
 351 
 
 3,3 
 
 40 
 
 360 
 
 3,9 
 
 0-000337 
 
 -3,4 
 
 344 
 
 0-000344 
 
 -4,o 
 
 324 
 
 3,4 
 
 48 
 
 328 
 
 4,0 
 
 310 
 
 3,5 
 
 52 
 
 312 
 
 3,9 
 
 296 
 
 3,5 
 
 56 
 
 297 
 
 3,9 
 
 282 
 
 3,5 
 
 6O 
 
 281 
 
 
 0-000268 
 
 -3,5 
 
 364 
 
 0-000264 
 
 -4-0 
 
 254 
 
 3,5 
 
 68 
 
 249 
 
 3,9 
 
 24 
 
 3,4 
 
 72 
 
 233 
 
 3,9 
 
 227 
 
 3,3 
 
 76 
 
 218 
 
 3,9 
 
 214 
 
 3,4 
 
 so 
 
 202 
 
 3,8 
 
 O-OOO2OO 
 
 -3,3 
 
 384 
 
 0-000188 
 
 - 3,5 
 
 188 
 
 3,o 
 
 88 
 
 174 
 
 3,5 
 
 176 
 
 2 >9 
 
 92 
 
 1 60 
 
 3,3 
 
 ,65 
 
 2,6 
 
 96 
 
 148 
 
 3,o 
 
 0-000155 
 
 -2,4 
 
 400 
 
 0-000136 
 
 -3,o 
 
SATELLITE III 
 
 Tables of the Phenomena 
 
 Equations of the Reduction 
 
 LIX 
 
 LX 
 
 I 
 
 2 
 
 3 
 
 Eel., Oc. 
 
 R 
 
 Sh., Tr. 
 
 d 
 O'OOOOJO 
 
 d 
 
 00 
 
 d 
 O'OOOOJO 
 
 43 
 
 1 
 
 42 
 
 36 
 
 2 
 
 35 
 
 3 
 
 3 
 
 28 
 
 *5 
 
 4 
 
 21 
 
 20 
 
 5 
 
 16 
 
 0-OOOOI6 
 
 06 
 
 O'OOOOI I 
 
 '3 
 
 7 
 
 8 
 
 II 
 
 8 
 
 6 
 
 II 
 
 9 
 
 5 
 
 II 
 
 10 
 
 6 
 
 O-OOOOI3 
 
 1-1 
 
 0-000009 
 
 16 
 
 2 
 
 12 
 
 21 
 
 3 
 
 16 
 
 26 
 
 4 
 
 22 
 
 3' 
 
 5 
 
 28 
 
 0-000037 
 
 1-6 
 
 0-000035 
 
 44 
 
 7 
 
 43 
 
 5 1 
 
 8 
 
 5' 
 
 58 
 
 9 
 
 59 
 
 0-000064 
 
 20 
 
 o'0ooo66 
 
 i 
 
 2 
 
 3 
 
 Eel, Oc. 
 
 R 
 
 Sh., Tr. 
 
 d 
 0-000064 
 
 d 
 
 20 
 
 d 
 0-000066 
 
 70 
 
 1 
 
 73 
 
 7 6 
 
 2 
 
 80 
 
 80 
 
 3 
 
 85 
 
 84 
 
 4 
 
 89 
 
 87 
 
 5 
 
 93 
 
 O'OOOoSg 
 
 26 
 
 0-000095 
 
 89 
 
 7 
 
 95 
 
 88 
 
 8 
 
 94 
 
 86 
 
 9 
 
 9 1 
 
 83 
 
 3'O 
 
 87 
 
 0-000080 
 
 3-1 
 
 0-000083 
 
 74 
 
 2 
 
 77 
 
 68 
 
 3 
 
 7' 
 
 62 
 
 4 
 
 64 
 
 55 
 
 5 
 
 56 
 
 0-000048 
 
 36 
 
 0-000048 
 
 42 
 
 7 
 
 4i 
 
 35 
 
 8 
 
 33 
 
 29 
 
 9 
 
 26 
 
 0-000024 
 
 4-0 
 
 O-OOOO2O 
 
 Applied Constant : +o'-oooo5o. 
 
 LXI 
 
 i 
 
 2 
 
 i 
 
 2 
 
 D 
 
 E,0.,S.,T. 
 
 D 
 
 E., 0., S., T. 
 
 d 
 
 00 
 
 d 
 O'OOOOIO 
 
 d 
 
 40 
 
 d 
 
 o'ooooo7 
 
 2 
 
 12 
 
 2 
 
 6 
 
 4 
 
 13 
 
 4 
 
 5 
 
 6 
 
 >4 
 
 6 
 
 4 
 
 8 
 
 15 
 
 8 
 
 3 
 
 1O 
 
 16 
 
 50 
 
 2 
 
 1-2 
 
 0-000017 
 
 5'2 
 
 O'OOOOO2 
 
 4 
 
 18 
 
 '4 
 
 2 
 
 6 
 
 18 
 
 '6 
 
 2 
 
 8 
 
 18 
 
 8 
 
 2 
 
 20 
 
 18 
 
 60 
 
 3 
 
 2'2 
 
 o'ooooi 8 
 
 6'2 
 
 0-000004 
 
 4 
 
 17 
 
 4 
 
 5 
 
 6 
 
 16 
 
 6 
 
 6 
 
 8 
 
 '5 
 
 8 
 
 7 
 
 30 
 
 H 
 
 7'0 
 
 8 
 
 32 
 
 0-000013 
 
 7-2 
 
 O'OOOOIO 
 
 4 
 
 12 
 
 4 
 
 12 
 
 6 
 
 IO 
 
 6 
 
 13 
 
 8 
 
 8 
 
 8 
 
 '4 
 
 40 
 
 0-000007 
 
 80 
 
 0-000015 
 
 I 
 
 2 
 
 i 
 
 2 
 
 S 
 
 E.,0.,S.,T. 
 
 S 
 
 E.,0.,S.,T. 
 
 d 
 
 00 
 
 d 
 O'OOOOIO 
 
 d 
 40 
 
 d 
 O-OOOOO4 
 
 2 
 
 7 
 
 '2 
 
 3 
 
 4 
 
 S 
 
 4 
 
 2 
 
 6 
 
 3 
 
 6 
 
 2 
 
 8 
 
 2 
 
 8 
 
 3 
 
 10 
 
 2 
 
 50 
 
 4 
 
 1-2 
 
 O-OOOOO3 
 
 5'2 
 
 0-000007 
 
 4 
 
 4 
 
 4 
 
 10 
 
 6 
 
 7 
 
 6 
 
 '3 
 
 8 
 
 10 
 
 8 
 
 16 
 
 2-0 
 
 '3 
 
 60 
 
 17 
 
 2-2 
 
 0-000016 
 
 6-2 
 
 0-000018 
 
 4 
 
 17 
 
 4 
 
 18 
 
 6 
 
 18 
 
 6 
 
 17 
 
 8 
 
 18 
 
 8 
 
 15 
 
 3'O 
 
 '7 
 
 7-O 
 
 13 
 
 32 
 
 0-000015 
 
 7'2 
 
 O'OOOOIO 
 
 4 
 
 12 
 
 4 
 
 7 
 
 6 
 
 9 
 
 6 
 
 4 
 
 8 
 
 6 
 
 8 
 
 3 
 
 4-O 
 
 0-000004 
 
 80 
 
 O'OOOOO2 
 
 Applied Constant : +o d 'ooooio. 
 
 LXII 
 
 i 
 
 2 
 
 3 
 
 Eel., Oc. 
 
 N 
 
 Sh., Tr. 
 
 d 
 
 
 d 
 
 O'OOOOO4 
 
 185O 
 
 O-OOO036 
 
 2 
 
 55 
 
 38 
 
 I 
 
 60 
 
 39 
 
 2 
 
 65 
 70 
 
 39 
 38 
 
 3 
 
 75 
 
 37 
 
 0-000005 
 8 
 
 188O 
 85 
 
 0-000035 
 32 
 
 ii 
 
 9O 
 
 29 
 
 15 
 
 18 
 
 95 
 1900 
 
 25 
 
 22 
 
 0-O00022 
 
 1905 
 
 O'ooooi 8 
 
 26 
 
 10 
 
 H 
 
 29 
 32 
 
 O-OOOO33 
 
 15 
 2O 
 1925 
 
 ii 
 
 8 
 o '000007 
 
 I 
 
 2 
 
 3 
 
 Eel., Oc. 
 
 N 
 
 Sh., Tr. 
 
 d 
 
 
 d 
 
 O-OOOO33 
 
 1925 
 
 0-OOOOO7 
 
 35 
 
 30 
 
 5 
 
 35 
 
 35 
 
 5 
 
 35 
 
 4O 
 
 5 
 
 34 
 
 45 
 
 6 
 
 3* 
 
 50 
 
 8 
 
 0-000029 
 
 1955 
 
 O'OOOOI I 
 
 26 
 
 60 
 
 14 
 
 23 
 
 65 
 
 17 
 
 '9 
 
 7O 
 
 21 
 
 16 
 
 75 
 
 4 
 
 o'ooooi 3 
 
 1980 
 
 O'OOOO27 
 
 10 
 
 85 
 
 30 
 
 7 
 
 9O 
 
 33 
 
 6 
 
 95 
 
 34 
 
 0-000005 
 
 2000 
 
 0-000035 
 
 Applied Constant : +o d -oooo2o. 
 
 Applied Constant : +o' 1 'ooooio. 
 
 203 
 
LXIII 
 
 SATELLITE III 
 
 Tables of the Phenomena 
 
 Equation of the Reduction 
 
 Occultations 
 
 \ 
 
 O d 'O O d '2 O d> 4 
 
 o d -e o d -s i d o 
 
 1 d< 2 1 d 4 1 d '6 
 
 ! 82 2 2 
 
 2 d -4 2 d '6 2 d 'S 
 
 3 d.Q 3 d. 2 3 d-4 
 
 3 d -6 3 d 8 4 d -O 
 
 d 
 
 
 
 
 
 
 
 
 O 
 
 + 9 + 8 + 8 
 
 + 7+6+5 
 
 + 4 + 3 + i 
 
 O - I - 
 
 4 - 6-6 
 
 -7-8-8 
 
 -9-8-8 
 
 10 
 20 
 
 30 
 
 40 
 SO 
 
 +54+53+5 
 +97+95+9' 
 + 137 +135 +129 
 + 174 +172 + 16^ 
 
 + 20<5 +202 +19; 
 
 + 46 + 41 + 34 
 + 8 3+74+62 
 + 119 +105 + 88 
 + 150 +132 +ui 
 + 177 +156 +132 
 
 + 26+18 + 8 
 + 48 + 32+16 
 + 68 + 46+23 
 + 86 + 58+29 
 + 101 + 68 +35 
 
 - i - 10 - 19 
 - i - 1 8 -3^ 
 
 -2 -26 -48 
 
 -2 -33 -61 
 -2 -39 -72 
 
 - 27 - 35 - 42 
 - 49 - 63 - 75 
 -71-89 -107 
 - 89 -113 -135 
 -105 -134 -159 
 
 - 47 - 5' 53 
 - 84 - 92 - 96 
 
 -121 -130 -136 
 -152 -165 -I 7 2 
 
 - 180 - 195 -203 
 
 54 - 53 -- 5 
 - 97 - 95 - 9 
 -'37 -'35 -129 
 - 174 - 171 - 162 
 
 - 206 - 202 19! 
 
 6O 
 7O 
 80 
 9O 
 
 100 
 
 + 230 +227 +217 
 + 249 +245 +234 
 
 + 261 +257 +245 
 + 264 +260 +24! 
 + 260 +256 +243 
 
 + 200 +176 +148 
 + 215 +190 +159 
 + 225 +199 +167 
 + 228 +201 + i6c 
 + 225 +197 +166 
 
 + 113 + 76 +39 
 + 122 + 83 +42 
 + 129 + 87 +44 
 + 130 + 88 +44 
 + 128 + 86 +43 
 
 -3 -43 ~8i 
 -3 -46 -88 
 
 -3 -48 -92 
 -3 -49 -93 
 -3 -48 -9' 
 
 - 118 - 150 - 179 
 -127 -162 -193 
 -134 -170 -203 
 -135 -172 -205 
 - 132 - 169 - 20 1 
 
 -202 -219 -22$ 
 
 -218 -236 -246 
 
 -228 -247 -258 
 -231 -250 -26l 
 -228 -246 -257 
 
 -230 -226 -215 
 
 -249 -245 -232 
 -261 -256 -24' 
 -264 -259 -246 
 -260 -255 -242 
 
 110 
 120 
 130 
 14O 
 150 
 
 + 248 +244 +233 
 + 229 +225 +215 
 
 + 202 +199 +190 
 
 + 170 +167 +160 
 + 134 +132 +126 
 
 + 214 +189 +159 
 + 197 +174 +146 
 
 + 175 +'55 +129 
 + 147 +130 +109 
 + 115 +102 + 86 
 
 + 122 + 82 +41 
 
 + 113 + 77 +38 
 + 100 + 68 +33 
 + 84+57+28 
 + 65 + 45+22 
 
 -3 -46 -87 
 -3 -42 -81 
 
 -2 -37 -72 
 
 - 2 - 31 - 60 
 
 -i -25 -47 
 
 - 127 - 162 - 192 
 -117 -149 -177 
 - 103 - 132 - 158 
 - 87 -in -132 
 
 -68-87 -i4 
 
 -217 -235 -245 
 -197 -217 -226 
 
 - 175 - 192 - zoo 
 - 149 - 161 - 168 
 - 117 - 127 - 132 
 
 -248 -243 -2 3 I 
 -229 -224 -213 
 - 2O2 - 199 - l8< 
 - 170 - 167 - 158 
 - 134 - 131 - 125 
 
 16O 
 170 
 ISO 
 190 
 200 
 
 +92+91+87 
 + 48 + 48 + 46 
 
 + 5+5+3 
 -41-40-39 
 
 -85-84-80 
 
 +80+70+59 
 
 +42+37+31 
 + 3+3+2 
 -36-31-27 
 -73-65-54 
 
 + 45 + 3' +'6 
 + 24+16 + 9 
 
 + 2 + I + I 
 -20-14-6 
 - 42 - 28 - 14 
 
 -i -18 -33 
 -1-9 -17 
 
 O - 1 - I 
 
 + i + 7 +15 
 + i +15 +30 
 
 -48-60-71 
 -25-32-37 
 
 - 2 - 2 - '. 
 + 2I+27 + 3S 
 
 +43+55+66 
 
 -81-88-91 
 - 43 - 46 - 48 
 -3-5-5 
 +36+39+40 
 +74+81+84 
 
 -92-91-86 
 -48-48-45 
 
 -5-5-3 
 +41+40+39 
 +85+84+79 
 
 21O 
 22O 
 23O 
 24O 
 25O 
 
 -127 -i5 -119 
 - 164 - 162 - 154 
 - 198 - 195 - 186 
 
 -224 -221 -211 
 
 -245 -242 -230 
 
 -no -97-81 
 -142 -125 -105 
 -171 -150 -127 
 -194 -171 -144 
 
 -212 - 187 - 157 
 
 -63-42-22 
 -81-55 -28 
 
 -97-66-33 
 -no - 74 -38 
 
 -120 - 82 -4] 
 
 + i +23 +45 
 
 + 2 +31 +58 
 
 + 2 +37 +69 
 + 3 +42 +79 
 + 3 +46 +87 
 
 +65+83+99 
 + 84 +107 +128 
 + 101 +129 +153 
 + 115 +146 +175 
 + 125 +159 +190 
 
 + III + I2O +125 
 
 + 144 +156 + 161 
 + 173 +187 +196 
 
 + 197 +212 +222 
 + 215 +232 +243 
 
 + 127 +124 +118 
 + 164 + 162 + 154 
 + 198 +194 +184 
 
 + 224 +220 + 20C 
 + 245 +241 +229 
 
 260 
 27O 
 28O 
 290 
 3OO 
 
 -258 -254 -242 
 
 - 264 - 260 - 248 
 
 -261 -257 -245 
 
 -252 -248 -236 
 -235 -230 -219 
 
 -223 -197 -166 
 
 - 228 - 2OI - 169 
 -225 - 199 - 167 
 
 -217 -192 - 161 
 - 202 - 178 - 150 
 
 -128 - 86 -43 
 -130 - 88 -44 
 - 129 - 87 -44 
 -123 - 84 -42 
 -116 - 79 -39 
 
 + 3 +48 +91 
 
 + 3 +49 +93 
 + 3 +48 +92 
 + 3 +47 +88 
 + 3 +43 +83 
 
 + 132 + 169 +201 
 + 135 +172 +205 
 + 134 +170 +203 
 + 129 +164 +196 
 + 120 +153 +l82 
 
 + 226 +244 +255 
 + 231 +250 +26l 
 + 228 +247 +258 
 + 220 +238 +249 
 + 203 +221 +231 
 
 + 258 +254 +240 
 + 264 +259 +246 
 + 26l +256 +243 
 + 252 +247 +234 
 
 + 235 +229 +218 
 
 31O 
 32O 
 33O 
 34O 
 350 
 
 - 2IO 2O7 - 197 
 
 -179 -176 -168 
 
 -144 -142 -135 
 
 -104 - 1 02 - 97 
 -60-59-57 
 
 -182 - 160 - 134 
 
 -'55 -137 -115 
 - 124 - 109 - 92 
 
 -90-79-66 
 -52-45-39 
 
 -103 -70-35 
 -88-60-29 
 -70-48-23 
 -52-35-18 
 30 20-10 
 
 + 2 +39 +74 
 + 2 +33 +63 
 + 2 +26 +51 
 
 + 1 +20 +36 
 + I +12 +21 
 
 +107 +137 +164 
 + 91 +117 +139 
 
 + 73 + 94 +n i 
 +53+68+80 
 +31+39+46 
 
 + 184 + 199 +208 
 + 157 +170 +177 
 + 125 +137 +142 
 +91+98 +102 
 
 +53+57+59 
 
 + 210 +206 +196 
 +179 +176 +167 
 +144 +I 4 I +133 
 
 + 104 + 102 + 97 
 +60+59+56 
 
 36O 
 37O 
 38O 
 39O 
 400 
 
 -15-15-15 
 
 + 30+30 + 28 
 +74+73+69 
 + 117 +115 +109 
 + 155 +153 +146 
 
 -14-11-10 
 +26+23+19 
 +64+57+47 
 + 101 + 89 + 74 
 + 134 +118 + 99 
 
 - 8 - 5 - , 
 
 + 14+10 + 5 
 + 36 + 25+12 
 
 + 58 + 39 +20 
 + 77 + 52 +26 
 
 + 3 + 5 
 0-5-11 
 -i - 13 - 26 
 
 -I -21 -41 
 
 -2 -29 -55 
 
 + 8 + 10+13 
 -15-20-23 
 -37-48 -- 58 
 -60-76-91 
 
 - 8O - IOI - I2O 
 
 + 14+15 + 15 
 -26-28-30 
 - 64 - 70 - 73 
 
 -102 - 110 - 115 
 -136 - 148 - 154 
 
 +15+15+15 
 -30-29-28 
 -74-74-69 
 - 116 - 1 14 - 108 
 -'55 -'53 -'45 
 
 No Constant has been applied. 
 
 The unit equals o d '< 
 
 This equation applies for Occultations only. 
 204 
 
 Ite natural sign must be regarded. 
 
LXIII continued 
 
 SATELLITE III 
 
 Tables of the Phenomena 
 
 Equation of the Reduction 
 
 Occupations 
 
 \ 
 
 y\ 
 
 4 d. 4 d. 2 4 d. 4 
 
 4 d. 6 4 d- 8 50 
 
 5 d '2 5 d -4 5 d -6 
 
 58 6>0 6-2 
 
 6 d -4 6 d -6 6 d 8 
 
 7 d. Q 7 d. 2 yd-4 
 
 7 d e 7 d -e a d> o 
 
 d 
 
 
 
 
 
 
 
 
 o 
 
 -8-7-6 
 
 5-4-3 
 
 -I + J 
 
 + 3 + 4 + 6 
 
 + 6+7+8 
 
 + 9+9+8 
 
 + 8+7+6 
 
 10 
 
 20 
 30 
 40 
 50 
 
 - 50 - 45 - 41 
 -90-82-73 
 -129 -117 -103 
 -162 -148 -130 
 -191 -175 -154 
 
 - 33 - 25 -17 
 - 60 - 47 - 30 
 -85-66 -43 
 - 108 - 83 -54 
 - 128 - 98 -64 
 
 - 8 + 2 +11 
 
 -14 + 3+19 
 
 -20 + 4 +28 
 -25 + 5 +35 
 -30 + 6 +42 
 
 + 20 + 28 + 36 
 + 36 + 51 + 65 
 + 51 + 73 + 92 
 + 64 + 93 +116 
 + 76 +109 +138 
 
 +42+47+51 
 +77+85+9* 
 
 +108 +122 +130 
 
 + 137 +154 +166 
 + 161 +181 +195 
 
 +53+54+52 
 +96+97+95 
 + 136 +137 +134 
 + 173 +174 +170 
 
 + 2O4 +2O6 +201 
 
 + 49 + 45 + 40 
 +89+81+71 
 + 128 +116 + 101 
 + 161 +147 +128 
 + 190 +173 +151 
 
 60 
 7O 
 80 
 90 
 10O 
 
 -215 -197 -173 
 
 - 232 - 212 - 187 
 -243 -223 -I 9 6 
 - 246 - 225 - 198 
 - 242 - 222 - 194 
 
 -143 -no -73 
 -154 -119 -79 
 - 162 - 125 - 82 
 - 164 - 126 - 83 
 - 161 - 124 - 81 
 
 -33 + 7 +4 8 
 -36 + 8 +51 
 
 -38 + 8 +53 
 -38 + 8 +54 
 -37 + 8 +53 
 
 + 85 +122 +155 
 
 + 93 +132 +167 
 + 97 +138 +175 
 + 98 +140 +177 
 + 96 +137 +174 
 
 + 182 +204 +220 
 + 196 +220 +237 
 + 205 +230 +248 
 + 208 +233 +251 
 + 204 +230 +247 
 
 + 229 +230 +226 
 + 247 +249 +244 
 + 259 +26l +255 
 + 262 +264 +258 
 + 258 +260 +254 
 
 + 214 +195 +170 
 
 + 230 +210 +183 
 + 241 +221 +192 
 + 244 +223 +194 
 + 240 +220 +190 
 
 110 
 12O 
 130 
 140 
 ISO 
 
 -231 -2ii - 186 
 
 -213 -194 -171 
 -189 -173 -152 
 
 -158 - 145 - 128 
 - 125 - 1 14 - 100 
 
 -154 -119 -78 
 - 142 - 109 -72 
 -125 - 97 -64 
 - 106 - 81 - 54 
 -83-63-42 
 
 -35 + 7 +50 
 -33 + 7 +4 6 
 -29 + 6 +41 
 -24 + 5 +34 
 -19 + 4 +28 
 
 + 92 +132 +166 
 + 85 +121 +153 
 + 75 +107 +135 
 + 63 + 90 +115 
 + 50 + 70 + 90 
 
 + 195 +219 +235 
 + 180 +201 +218 
 + 160 +179 +193 
 + 134 +150 +162 
 + 105 +118 +127 
 
 + 246 +248 +242 
 + 227 +229 +224 
 + 2OI +202 +198 
 + 169 +170 +l66 
 + 133 +134 +131 
 
 + 229 +2O9 +l82 
 
 + 212 +193 + 168 
 
 +187 +171 +149 
 +157 +144 +125 
 +124 +113 + 98 
 
 160 
 170 
 180 
 19O 
 2OO 
 
 - 86 -- 79 - 69 
 -45-42 -- 36 
 -3-3-3 
 
 +39+35+31 
 +79+72+64 
 
 58-44-29 
 -30-24-15 
 
 2 - 2-1 
 
 + 26 + 19 +13 
 + 53+41 +27 
 
 -13 + 3 +19 
 
 - 7 + i +10 
 
 + I 
 
 + 6-1-8 
 + 13 - 3 -'7 
 
 + 34 + 49 + 62 
 + 18 + 26 + 32 
 
 + I + 2 + 2 
 -16-22-28 
 
 -32 -- 45 - 57 
 
 +73+82+88 
 
 + 39 + 43+46 
 
 + 3+3+5 
 
 - 32 - 37 - 39 
 
 -67-75-81 
 
 +92+92+90 
 +48+48+47 
 
 + 5+5+5 
 -41-41-4 
 -85-85-83 
 
 +86+79+68 
 +45+41+35 
 + 3+3+3 
 -38-35-30 
 - 78 - 71 - 63 
 
 21 
 220 
 230 
 240 
 250 
 
 + 118 +109 + 97 
 + 154 +140 + 123 
 + 184 +168 +148 
 + 209 +192 +169 
 + 229 +209 +184 
 
 + 79 + 61+40 
 
 + 102 + 77 +52 
 + 123 + 92 +62 
 + 140 +107 +70 
 + 152 +117 +77 
 
 + 19 - 4 -26 
 
 + H - 5 -33 
 + 29 - 6 - 40 
 
 + 33 - 7 -46 
 
 + 35 - 7 -5 
 
 -47 -67-85 
 - 61 - 88 -no 
 -73 -105 -133 
 -83 - 119 - 151 
 -91 - 130 - 164 
 
 - IOO -112 -1 2O 
 -ISO -145 -157 
 
 -155 -174 -188 
 -177 -199 -213 
 -193 -215 -233 
 
 - 126 - 127 - 124 
 - 164 - 164 - 161 
 -196 -198 -193 
 -223 -224 -219 
 -243 -245 -240 
 
 -117 -108 - 93 
 
 -152 -139 -121 
 
 -183 -167 -145 
 - 206 - 190 - 165 
 -227 -207 -180 
 
 260 
 270 
 280 
 290 
 300 
 
 + 240 +220 +194 
 
 + 246 +225 +198 
 + 243 +223 +196 
 + 234 +215 +189 
 + 218 +199 +175 
 
 + 161 +124 +81 
 + 164 +126 +83 
 + 162 +125 +82 
 + 157 +120 +79 
 + 145 +112 +73 
 
 + 37 " 8 -53 
 + 38 - 8 -54 
 + 38 - 8 -53 
 + 36 - 8 -51 
 + 33 - 7 -48 
 
 -96 -137 -174 
 -98 -140 -177 
 -97 -138 -175 
 
 -93 -133 -'69 
 -87 -124 -157 
 
 -204 -228 -245 
 -208 -233 -251 
 -206 -230 -248 
 
 - 198 -222 - 239 
 - 184 - 206 - 222 
 
 -256 -258 -252 
 -262 -264 -258 
 -259 -261 -255 
 -250 -252 -246 
 -233 -235 -228 
 
 -238 -218 -190 
 -244 -223 -194 
 
 -241 -221 -192 
 -233 -213 -185 
 
 - 216 - 197 - 172 
 
 310 
 320 
 330 
 340 
 350 
 
 + 196 + 179 +157 
 + 167 +153 +135 
 
 +133 +122 +108 
 
 +97+89+77 
 +56+52+45 
 
 + 130 + 100 +66 
 + iii + 85 +57 
 + 90 + 68+45 
 + 64 + 49+33 
 + 37 + 28+19 
 
 + 30 - 6 -43 
 + 25 - 5 -36 
 + 20 - 4 -30 
 
 + 14 - 3 -22 
 
 + 8-2-13 
 
 -78 -in -140 
 -67 - 95 -i2i 
 
 -53-76-97 
 -38-55-69 
 
 -22 - 32 - 40 
 
 -1 66 -l86 -200 
 - 141 - 158 - 170 
 -113 - 126 - 137 
 -81-92-99 
 
 -47-53-57 
 
 -2O8 -2IO -2O5 
 
 -178 -179 -'75 
 -143 -144 -141 
 - 103 - 104 - 101 
 -60-60-59 
 
 -194 -178 -154 
 - 165 - 151 - 132 
 
 - 132 - 121 - 106 
 -96-88-76 
 
 - 5 6 " 5' " 44 
 
 360 
 37O 
 38O 
 390 
 4OO 
 
 +15+14+11 
 
 -28-25-23 
 
 -69-63-56 
 - 108 - 100 - 87 
 -'45 -'33 -i><> 
 
 + 10 + 8 + 5 
 -19-14-9 
 - 46 - 36-23 
 -72-56-37 
 -96-74 -49 
 
 + 2 0-4 
 
 -5 + 1 + 6 
 
 -II + 2 +15 
 
 -17 + 4 +23 
 -23 + 5 +31 
 
 - 6 - 9-10 
 
 +11 + l6 + 20 
 
 + 28 + 39 + 50 
 
 + 43 + 61 + 78 
 + 58 + 83 +104 
 
 -13-14-15 
 +23+26+28 
 +59+65+70 
 
 + 92 +IO2 +IIO 
 +122 +137 +148 
 
 -15-15-15 
 
 +30+30+29 
 + 74 + 74 + 72 
 
 + 115 + 116 +114 
 + 154 +155 +'5* 
 
 -14-13 - n 
 
 +28+25+22 
 +68+62+55 
 + 107 +99+86 
 + 144 +131 +114 
 
 No CousUnt has been added. 
 
 The unit equals o d- oooooi. 
 
 This equation applies for Oceultations only. 
 105 
 
 Its natural sign must be regarded. 
 
LXIV 
 
 SATELLITE III 
 
 Tables of the Phenomena 
 
 Equation of the Reduction 
 
 Transits 
 
 \ 
 7 \ 
 
 O d. o Q d. 2 O d. 4 
 
 Qd.g Qd.Q 1 d.Q 
 
 1*'2 1 d 4 1 d 6 
 
 1 d 8 2 d O 2 d 2 
 
 2 d -4 2 d 6 2 d 8 
 
 3 d O 3 d 2 3 d '4 
 
 3"6 3 d 8 4 d O 
 
 d 
 
 
 
 
 
 
 
 
 o 
 
 11 - II - 10 
 
 -9-9-7 
 
 - 5 ~ 4 - * 
 
 + 2 + 4 
 
 + 6+7+9 
 
 + 9 + 10 + ii 
 
 + II + II + 10 
 
 10 
 20 
 
 3O 
 40 
 50 
 
 -70-69 -- 66 
 - 126 - iz5 - 118 
 - 180 - 178 - 169 
 -227 -224 -213 
 -268 -264 -253 
 
 - 60 - 54 - 44 
 - no - 96 - 81 
 
 -155 -'37 -US 
 -196 -174 -145 
 
 -232 -205 -171 
 
 -35-24 -ii 
 
 62 42 21 
 
 .88-60-29 
 
 -112 - 76 -37 
 -133 - 89 -45 
 
 + 1 +13 + 25 
 
 + i +23 + 45 
 + 2 +33 + 64 
 + 2 +42 + 80 
 + 2 +50 + 95 
 
 +36+45+55 
 +65+82+98 
 + 92 +117 +139 
 + i 16 + 148 + 176 
 + 138 +175 +209 
 
 +61+66+69 
 + in +119 +125 
 + 157 +170 +178 
 + 199 +215 +225 
 + 235 +254 +265 
 
 +70+69+65 
 + 126 + 124 + 118 
 + 180 + 176 + 168 
 + 227 +223 +212 
 + 268 +263 +251 
 
 60 
 7O 
 SO 
 90 
 1OO 
 
 -302 -297 -283 
 -326 -321 -306 
 -34 -335 -3'9 
 -345 -34 -3H 
 -339 -335 -319 
 
 - 260 -229 - 193 
 -282 -248 -208 
 -294 -260 -218 
 -298 -263 -220 
 -293 -259 -217 
 
 - 149 - 100 - 50 
 160 - 109 - 54 
 -168 -114 -56 
 -170 -115 -57 
 - 167 - 113 - 56 
 
 + 3 +56 +106 
 + 3 +61 + 116 
 + 3 +63 +121 
 + 3 +64 +122 
 + 3 +63 +120 
 
 + 155 +197 +234 
 
 + 167 +212 +253 
 + 175 +223 +264 
 + 177 +225 +268 
 + 174 +222 +264 
 
 + 264 +285 +298 
 + 285 +308 +322 
 + 298 +321 +336 
 + 302 +326 +341 
 + 297 +321 +336 
 
 + 302 +295 +281 
 + 326 +319 +304 
 + 34 +333 +317 
 + 345 +338 +322 
 + 339 +333 +317 
 
 no 
 
 120 
 ISO 
 14O 
 150 
 
 -3*4 -319 -34 
 -298 -294 -280 
 -265 -261 -249 
 
 -222 -219 -209 
 
 - '75 -173 -164 
 
 - 279 - 247 - 206 
 - 258 - 228 - 190 
 - 228 - 202 - 169 
 - 192 169 - 142 
 -151 -133 -in 
 
 - 160 - 108 - 53 
 - 147 - 100 - 49 
 -130 - 88 -43 
 -no -74-37 
 -86-58-29 
 
 + 3 +60 +115 
 
 + 3 +55 +i8 
 + 2 +50 + 94 
 + 2 +42 + 79 
 + 2 +33 + 62 
 
 + l66 +211 +251 
 + 153 +194 +232 
 + 135 +173 +205 
 +115 +145 +172 
 + 90 +114 +136 
 
 + 283 +305 +319 
 + 261 +282 +295 
 + 231 +250 +262 
 
 + 195 +2IO +22O 
 + 153 +165 +173 
 
 + 323 +317 +302 
 + 298 +292 +279 
 + 265 +260 +247 
 
 + 222 +2l8 +208 
 +175 +172 +163 
 
 16O 
 17O 
 180 
 19O 
 2OO 
 
 -121 - H9 - 114 
 -63-62-60 
 
 -6-6-6 
 
 +54+53+5 
 + 11 1 +110 +104 
 
 -104 - 92 -- 78 
 -55-48-41 
 
 -5-5-3 
 +47+41+34 
 +97+85+70 
 
 - 60 - 40 - 20 
 
 - 31 - 21 - I I 
 - 2 - 2-1 
 
 + 27 + 18 + 9 
 
 + 55 + 37 +18 
 
 + i +23 + 42 
 
 + 1 +12 + 22 
 + I + 2 
 
 - i - 10 - 19 
 
 - I - 2O - 40 
 
 +62+79+94 
 +32+42+49 
 
 + 2+3+5 
 - 28 - 35 - 42 
 
 -57-72-87 
 
 + IO5 +115 + I2O 
 +56+60+63 
 
 + 5+6+6 
 - 47 - 50 - 53 
 - 98 - 105 - 1 10 
 
 +121 +119 +113 
 +63+62+59 
 
 + 6+6+6 
 - 54 -- 52 -- 50 
 -in -109 -104 
 
 21O 
 220 
 230 
 240 
 25O 
 
 + 166 +163 +156 
 
 + 215 +212 +2O2 
 + 258 +254 +242 
 + 294 +289 +276 
 + 320 +3l6 +301 
 
 + 144 +126 +106 
 + 186 +164 +137 
 + 224 +197 +165 
 + 253 +223 +188 
 + 277 +244 +204 
 
 + 82 + 56 +27 
 + 106 + 72 +35 
 + 128 + 86 +43 
 + 145 + 98 +49 
 + 158 +106 +53 
 
 -i -30 - 59 
 
 -2 -40 - 76 
 
 -2 -47 - 91 
 
 -3 -55 -i4 
 - 3 - 60 - 1 1 3 
 
 - 85 - 109 - 129 
 - no - 140 - 167 
 - 133 - 168 - 201 
 - 151 - 192 - 22$ 
 - 164 -209 - 249 
 
 -146 -157 -164 
 - 188 - 203 - 213 
 -227 -244 -255 
 -257 -277 -290 
 -281 -303 -317 
 
 - 166 - 162 - 155 
 
 - 215 - 211 - 2OI 
 
 -258 -253 -241 
 
 -294 -288 -274 
 
 -321 -314 -299 
 
 26O 
 27O 
 280 
 29O 
 30O 
 
 + 337 +333 +317 
 + 345 +34 +324 
 + 34* +337 +321 
 + 328 +324 +308 
 + 306 +302 +287 
 
 + 291 +257 +215 
 
 + 298 +263 +220 
 + 296 +260 +2lf 
 + 284 +251 +2IO 
 + 265 +234 +195 
 
 + 167 +113 +56 
 + 170 +115 +57 
 + 168 +114 +56 
 + 162 +109 +5^ 
 + 151 +102 +50 
 
 - 3 - 63 - 1 20 
 -3 -64 -122 
 - 3 -63 - 121 
 - 3 - 62 - 116 
 
 - 3 ~ 5^ - Io8 
 
 - 174 -220 - 262 
 -177 -225 -268 
 - 175 - 223 - 265 
 -169 -215 -251 
 -157 -199 -238 
 
 -295 -319 -334 
 - 302 - 326 - 341 
 -300 -323 -338 
 -288 -310 -325 
 -268 -289 -302 
 
 -337 -33i -315 
 -345 -338 -322 
 
 -34 2 -335 -3'9 
 -328 -322 -307 
 -306 -300 -286 
 
 31 
 320 
 330 
 34O 
 350 
 
 + 275 +271 +257 
 + 234 +231 +220 
 + 187 +185 +176 
 + 135 +134 +127 
 +79+77+74 
 
 + 237 +209 +175 
 + 203 +178 +149 
 + 162 +143 +11$ 
 + 117 +103 + 87 
 +68+60+51 
 
 + 135 + 92 +45 
 + 116 + 78 +39 
 + 93 + 62 +31 
 + 67 + 45+23 
 + 39 + 26+13 
 
 -2 -50 - 97 
 -2 -44 83 
 -2 -35 - 66 
 -i -25 - 47 
 -i -15 - 27 
 
 - 140 - 179 -213 
 
 - 121 - 153 - l82 
 
 - 97 - 122 - 146 
 - 69 - 89 - 105 
 - 40 - 52 - 6 1 
 
 -240 -259 -272 
 
 -205 -2ZI -231 
 - 164 - 177 - 185 
 
 - 118 - 128 - 134 
 - 69 - 74 - 78 
 
 -275 -269 -256 
 234 - 229 - 219 
 - 187 - 183 - 175 
 -"35 -'33 -i*7 
 - 79 - 77 - 74 
 
 360 
 370 
 380 
 39O 
 4OO 
 
 +20+20+19 
 - 39 - 39 ~ 37 
 
 - 97 ~ 95 - 9 
 -152 -150 -148 
 -203 - 200 - 19 
 
 +18+15+13 
 
 - 33 - 30 - 25 
 -84-74-61 
 - 132 - 116 - 97 
 -175 -154 -130 
 
 + 10 + 6 + 4 
 - 19 - 13 - 6 
 -48-33-16 
 
 - 75 ~ 5i -25 
 - 100 - 68 - 3; 
 
 o - 4 - 8 
 + 7 + 14 
 + i + 18 + 35 
 + i +28 + 54 
 + 2 +37 + 72 
 
 -10-14-15 
 
 +20+25+31 
 +50+63+75 
 + 78 +100 +118 
 + 104 +133 +157 
 
 -18-19-20 
 
 +34+37+39 
 +84+91+96 
 
 + 134 +143 +150 
 
 + 178 +192 +2OI 
 
 - 20 - 20 - 19 
 +39+38+36 
 
 +97+95+9 
 + 152 +149 +142 
 + 203 +199 +190 
 
 No Constant has been added. 
 
 The unit equals o^'ooooot. 
 
 This equation applies for Transits only. 
 206 
 
 Its natural sign must be regarded. 
 
LXIV continued 
 
 SATELLITE III 
 
 Tables of the Phenomena 
 
 Equation of the Reduction 
 
 Transits 
 
 \ 
 
 
 
 
 
 
 
 
 
 4 d. o 4 d. 2 4 <i- 4 
 
 4 d 6 4 ll '8 5 d -O 
 
 5 d -2 5 d -4 5 d> 6 
 
 5 d. 8 6 d.0 6 d. 2 
 
 6 d -4 6 d 6 6 d -8 
 
 7 d. o 7 d. 2 7 d. 4 
 
 7 d. 6 7 d- 8 8 d. o 
 
 r\ 
 
 
 
 
 
 
 
 
 d 
 
 
 
 
 
 
 
 
 o 
 
 + 10 + 9 + 8 
 
 + 6+5+4 
 
 + I O - 2 
 
 -3-6-7 
 
 9 - 9-10 
 
 - II - II - II 
 
 - 10 - 9 - 8 
 
 10 
 
 + 65 + 59+53 
 
 +43+33+22 
 
 + 10 - 2 - 14 
 
 - z6 - 37 - 47 
 
 - 55 - 62 - 67 
 
 - 70 - 70 - 68 
 
 -65-59-52 
 
 20 
 
 + 118 +109 + 95 
 
 +79+60+40 
 
 + 18 - 4 -26 
 
 - 48 - 67 - 84 
 
 - IOO - 112 - I 2O 
 
 - 125 - 126 - 123 
 
 -117 -107 - 93 
 
 3O 
 
 + 168 +156 +135+112 + 85 + 57 
 
 + 26 - 6 -37 
 
 -67-95 -121 
 
 -141 -159 -171 
 
 -179 -180 -176 
 
 - 166 - 152 - 132 
 
 40 
 
 +212 + 194 + iyi 
 
 + 142 +108 + 72 
 
 + 33 - 7 -46 
 
 - 85 - I2O - 152 
 
 -179 -201 -2l6 
 
 -225 -227 -222 
 
 - 210 - 191 - 168 
 
 50 
 
 + 251 +230 +2O2 
 
 + 167 +128 + 85 
 
 + 39 - 9 -55 
 
 - 101 - 143 - 180 
 
 -212 -238 -256 
 
 -266 -268 -262 
 
 -249 -227 -198 
 
 60 
 
 + 28l +258 +226 
 
 + 188 +143 + 95 
 
 + 44 - 10 -62 
 
 - 113 - 1 60 - 2O2 
 
 -237 -266 -287 
 
 -299 -302 -295 
 
 -279 -254 -223 
 
 7O 
 
 + 304 +279 +245 
 
 + 203 +154 +103 
 
 + 47 -10 -67-121 -172 -218 
 
 -257 -288 -3IO 
 
 -323 -326 -318 
 
 -301 -275 -240 
 
 80 
 
 + 317 +291 +256 
 
 + 213 +162 + 108 
 
 + 49 -ii -70 
 
 - 128 - 181 - 228 
 
 - 268 - 3OI - 323 
 
 -337 -34 -332 
 
 -314 -287 -251 
 
 9O 
 
 + 322 +295 +259 
 
 + 215 +164 +109 
 
 + 50 - ii -71 
 
 - 129 - 183 -231 
 
 -272 -305 -328 
 
 -34* -345 -337 
 
 -319 -291 -254 
 
 10O 
 
 + 317 +290 +255 
 
 + 212 +161 +107 
 
 + 49 -ii -70 
 
 - 127 - 180 - 228 
 
 -268 -300 -323 
 
 -337 -339 -332 
 
 -314 -286 -250 
 
 110 
 
 + 302 +277 +243 
 
 + 2O2 +154 +IO2 
 
 + 47 - 10 -66 
 
 - 121 - 172 - 217 
 
 -255 -286 -307 
 
 - 320 - 323 - 316 
 
 -299 -273 -238 
 
 12O 
 
 + 279 +255 +224 
 
 + 186 +142 + 95 
 
 + 43 - 9 -61 
 
 -112 - 158 - 799 
 
 -235 -264 -284 
 
 - 296 298 - 291 
 
 276 - 252 - 220 
 
 13O 
 
 + 247 +226 + 199 
 
 + 165 +125 + 84 
 
 + 38 - 8 -55 
 
 - 99 - 140 -177 
 
 -208 -233 -251 
 
 -263 -265 -259 
 
 -MS -3 -'95 
 
 14O 
 
 + 2O8 +191 +167 
 
 + 139 + 1 06 + 70 
 
 + 32 - 7 -46 
 
 - 83 - 118 - 149 
 
 - 176 - 197 -212 
 
 -221 -222 -217 
 
 -206 - 188 - 164 
 
 150 
 
 +163 +149 +131 
 
 + 109 + 83 + 55 
 
 + 26 - 5 -36- 65 - 93 -117 
 
 - 138 - 154 - 166 
 
 -174 -175 -171 
 
 - 161 - 147 - 129 
 
 
 
 
 
 
 
 
 16O 
 
 +113 +103 + 91 
 
 +75+58+38 
 
 + 18 -- 4 -25 
 
 - 45 - 64 - 81 
 
 - 95 -107 -115 
 
 - I2O - 121 - Il8 
 
 - 112 - 102 - 89 
 
 170 
 
 +59+55+ 4 8 
 
 +40+30+20 
 
 + 10 - 2 - 13 
 
 -24-33-43 
 
 -50-56-60 
 
 - 63 - 63 - 62 
 
 59 - 54 ~ 47 
 
 18O 
 
 + 6+5+5 
 
 + 3+2+2 
 
 + I O I 
 
 
 C f 6 
 
 666 
 
 
 - 2 - 3 3 
 
 5 - 5 - o 
 
 
 5 5 
 
 190 
 
 -50-46-40 
 
 - 34 - 26 - 17 
 
 - 8 + 2 +11 
 
 +20+28+36 
 
 +42+48+51 
 
 +53+54+53 
 
 +50+45+39 
 
 200 
 
 - 104 - 96 - 84 
 
 -70-53-35 
 
 -16 + 4 +23 
 
 +42+59+74 
 
 + 88 + 98 + 106 
 
 + no + in + 109 
 
 + 103 +94+82 
 
 210 
 
 -155 -142 -125 
 
 -104 - 79 - 53 
 
 -24 + 5 +34 
 
 + 62 + 88 +ni 
 
 + 131 +147 +157 
 
 + 164 +166 +162 
 
 +154 +140 +122 
 
 220 
 
 - 201 - 184 - l62 
 
 -134 - 102 - 68 
 
 -32 + 7 +44 
 
 + 81 +114 +144 
 
 + 169 +190 +205+213 +215 +210 
 
 + 199 +181 +159 
 
 230 
 
 - 241 221 194 
 
 - 161 - 123 -- 82 
 
 -38 + 8 +53 
 
 + 97 +138 +173 
 
 + 204 +229 +245+256 +258 +252 
 
 + 238 +218 +190 
 
 24O 
 
 -274 -251 -220 
 
 - 183 - 140 - 92 
 
 -43 + 9 +61 
 
 + 110 +156 +197 
 
 + 231 +259 +279 
 
 + 291 +294 +287 
 
 + 271 +247 +216 
 
 25O 
 
 -299 -274 -241 
 
 - 200 - 152 - 101 
 
 -47 +10 +66 
 
 + 119 +170 +215 
 
 + 253 +284 +305 
 
 + 318 +321 +313 
 
 + 297 +271 +236 
 
 26O 
 
 -315 -288 -253 
 
 - 210 - 161 - 107 
 
 - 49 +11 +70 
 
 + 127 +180 +226 
 
 + 266 +298 +321 
 
 + 335 +337 +33 
 
 + 312 +284 +248 
 
 27O 
 
 -322 -295 -259 
 
 - 215 - 164 - 109 
 
 -50 +n +71 
 
 + 129 +183 +231 
 
 + 272 +305 +328+342 +345 +337 
 
 + 319 +291 +254 
 
 28O 
 
 -319 -293 -256 
 
 - 213 - 162 - 108 
 
 -49 +11 +70 
 
 + 128 +181 +228 
 
 + 269 +303 +325+339 +342 +334 
 
 + 3l6 +288 +251 
 
 29O 
 
 -307 -28l -247 
 
 -205 -157 -103 
 
 -47 +10 +67 
 
 + 122 +175 +220 
 
 + 259 +290 +312+326 +328 +321 
 
 + 304 +277 +242 
 
 30O 
 
 - 286 - 262 - 229 
 
 -190 -145 - 97 
 
 -44 +10 +63 
 
 + 115 +l62 +205 
 
 + 242 +271 +291+303 +306 +299 
 
 + 283 +258 +225 
 
 310 
 
 - 256 234 2O6 
 
 -171 -130 - 87 
 
 -39 + 9 +57 
 
 + 103 +145 +184 
 
 + 216 +242 +260^ + 272 +275 +269 
 
 + 253 +231 +202 
 
 320 
 
 - 219 - 2OI - 176 
 
 - 146 - ii i - 74 
 
 -34 + 7 +49 
 
 + 87 +125 +157 
 
 + 184 +207 +223' + 232 +234 +229 
 
 + 217 +198 +172 
 
 33O 
 
 - 175 - 161 - 141 
 
 -117 - 90 - 59 
 
 - 28 + 6 +39 
 
 + 70 +100 +125 
 
 + 148 +166 +178 + 186 +187 +183 
 
 +173 +158 +137 
 
 34O 
 
 - 127 1 1 5 - 102 
 
 -84-64-43 
 
 -20 + 4 +28 
 
 +50+72+91 
 
 + 107 +119 +129 + 134 +135 +13* 
 
 + 126 + 114 + ioo 
 
 35O 
 
 - 74 - 68 - 59 
 
 -49-37-25 
 
 - 12 + 2 + l6 
 
 +30+42+53 
 
 + 62 + 70 + 75+78 + 79 + 77 
 
 + 73 + 66 + 58 
 
 36O 
 
 -19-18-15 
 
 13 - 10 - 6 
 
 - 3 + ' + 4 
 
 + 8 + 11 + 14 
 
 + 16 + 18 + 19+20 + 20 + 20 
 
 + 19+18+15 
 
 37O 
 
 + 3 6 + 33 + 29 
 
 +24+19+13 
 
 + 5-1-8 
 
 -14-21-26 
 
 -31-34-37 
 
 -39-39-3 
 
 -36-33-29 
 
 380 
 
 + 90+83 + 73 
 
 +60+46+31 
 
 + 13 -- 3 -20 
 
 -36-51-64 
 
 -76-85-92 
 
 -96-97-94 
 
 -89-82-71 
 
 390 
 
 + 142 +130 +114 
 
 +95+72+48 
 
 + 22 - 5 -31 
 
 -57-81 -102 
 
 -120 -135 -144-151 -152 -148 
 
 - 141 - 129 - 112 
 
 400 
 
 + 190 +173 +152 
 
 + 127 + 96 + 64 
 
 + 30 - 7 -41 
 
 - 76 -107 -136 
 
 - 160 -179 -193-202 -203 -199 
 
 - 188 - 171 - 150 
 
 No Constant has been added. 
 
 The unit equals o d- oooooi. 
 
 This equation applies for Transits only. 
 207 
 
 Its n.itural sign must be regarded. 
 
LXV 
 
 SATELLITE III 
 
 Tables of the Phenomena 
 
 Corrections for Phase 
 
 Sh., Tr. 
 
 I 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 Additional 
 
 
 Correcting 
 
 
 Correct- 
 
 
 Equation 
 of Semi- 
 
 p 
 
 Factor 
 for Semi- 
 
 A 
 O d W>I 
 
 ing Factor 
 for Reduc- 
 
 A 
 O d- OOI 
 
 duration. 
 
 
 duration. 
 
 
 tion. 
 
 
 d 
 O'OOOOOO 
 
 d 
 0000 
 
 ooooo 
 
 0,0 
 
 ooooo 
 
 0,0 
 
 
 
 004 
 
 i 
 
 -0,3 
 
 
 
 0,0 
 
 
 
 008 
 
 I 
 
 o.S 
 
 i 
 
 -o,i 
 
 o 
 
 012 
 
 5 
 
 1,0 
 
 i 
 
 0,1 
 
 o 
 
 O1 6 
 
 10 
 
 i,3 
 
 2 
 
 0,3 
 
 o 
 
 020 
 
 15 
 
 1,6 
 
 3 
 
 o,3 
 
 O'OOOOOO 
 
 0024 
 
 - -00023 
 
 -2,0 
 
 - -00004 
 
 -0,4 
 
 
 
 O28 
 
 3i 
 
 2,1 
 
 6 
 
 ,5 
 
 o 
 
 032 
 
 40 
 
 2,4 
 
 8 
 
 o,5 
 
 
 
 O36 
 
 jo 
 
 2,8 
 
 10 
 
 ,5 
 
 
 
 040 
 
 62 
 
 3,1 
 
 12 
 
 0,6 
 
 O'OOOOOO 
 
 0044 
 
 -00075 
 
 -3,4 
 
 - -ooo 1 5 
 
 -o,7 
 
 
 
 048 
 
 89 
 
 3,6 
 
 1 8 
 
 0,8 
 
 o 
 
 052 
 
 104 
 
 4,0 
 
 21 
 
 0,8 
 
 
 
 O56 
 
 121 
 
 4,4 
 
 24 
 
 o,9 
 
 o 
 
 O6O 
 
 I 39 
 
 4,8 
 
 28 
 
 1,0 
 
 '000000 
 
 0064 
 
 - 'OOI59 
 
 -5,o 
 
 - -00032 
 
 - ,o 
 
 o 
 
 O68 
 
 I 79 
 
 S,i 
 
 36 
 
 ,o 
 
 o 
 
 O72 
 
 2OO 
 
 5,5 
 
 40 
 
 ,1 
 
 o 
 
 076 
 
 223 
 
 5,9 
 
 45 
 
 ,3 
 
 
 
 080 
 
 247 
 
 6,1 
 
 5 
 
 ,3 
 
 O'OOOOOI 
 
 0'084 
 
 - -00272 
 
 -6,4 
 
 -00055 
 
 - ,3 
 
 I 
 
 088 
 
 298 
 
 6,8 
 
 60 
 
 ,4 
 
 I 
 
 O92 
 
 326 
 
 7,i 
 
 66 
 
 ,4 
 
 I 
 
 096 
 
 355 
 
 7,5 
 
 7i 
 
 ,5 
 
 I 
 
 TOO 
 
 386 
 
 7,8 
 
 78 
 
 ,6 
 
 O'OOOOOI 
 
 0-104 
 
 - -00417 
 
 -8,i 
 
 - -00084 
 
 - ,6 
 
 I 
 
 '108 
 
 45 
 
 8,4 
 
 9i 
 
 ,6 
 
 I 
 
 112 
 
 484 
 
 8,5 
 
 97 
 
 ,6 
 
 I 
 
 116 
 
 5>9 
 
 8,9 
 
 104 
 
 ,9 
 
 I 
 
 120 
 
 555 
 
 9,3 
 
 112 
 
 !,9 
 
 O'OOOOOI 
 
 124 
 
 - -00593 
 
 -9,6 
 
 - '00119 
 
 -',9 
 
 i 
 
 2 
 
 3 
 
 4 
 
 S 
 
 6 
 
 Additional 
 
 
 Correcting 
 
 
 Correct- 
 
 
 Equation 
 of Semi- 
 
 P 
 
 Factor 
 for Semi- 
 
 A 
 O d 'OOI 
 
 ing Factor 
 for Reduc- 
 
 A 
 O d 'OOI 
 
 duration. 
 
 
 duration. 
 
 
 tion. 
 
 
 O'OOOOOI 
 
 d 
 128 
 
 - '00632 
 
 - 9,8 
 
 - '00127 
 
 -2,0 
 
 
 132 
 
 671 
 
 1 0,0 
 
 '35 
 
 2,1 
 
 
 136 
 
 712 
 
 10,4 
 
 144 
 
 2,1 
 
 
 140 
 
 754 
 
 10,8 
 
 152 
 
 2,1 
 
 
 144 
 
 798 
 
 ii,3 
 
 161 
 
 2,3 
 
 
 148 
 
 844 
 
 ii,5 
 
 170 
 
 2,4 
 
 O-OOOOOZ 
 
 152 
 
 - -00890 
 
 -11,9 
 
 - '00180 
 
 -2,5 
 
 2 
 
 156 
 
 939 
 
 12,1 
 
 190 
 
 2,5 
 
 2 
 
 16O 
 
 987 
 
 iz,3 
 
 200 
 
 2,5 
 
 2 
 
 164 
 
 1037 
 
 12,6 
 
 2IO 
 
 2,5 
 
 2 
 
 168 
 
 1088 
 
 12,9 
 
 22O 
 
 2,6 
 
 O-OOOOO2 
 
 172 
 
 - -01140 
 
 -13,1 
 
 - '00231 
 
 -2,7 
 
 2 
 
 176 
 
 1 193 
 
 13,4 
 
 242 
 
 2,8 
 
 2 
 
 180 
 
 1247 
 
 13,8 
 
 253 
 
 2,9 
 
 2 
 
 184 
 
 1303 
 
 14,1 
 
 265 
 
 3,0 
 
 2 
 
 188 
 
 1360 
 
 H,5 
 
 277 
 
 3,0 
 
 O-OOO003 
 
 192 
 
 - -01419 
 
 -15,0 
 
 - '00289 
 
 -3,0 
 
 3 
 
 196 
 
 1480 
 
 15,3 
 
 301 
 
 3,i 
 
 3 
 
 2OO 
 
 1541 
 
 15,4 
 
 3H 
 
 3,3 
 
 3 
 
 204 
 
 1603 
 
 15,6 
 
 3*7 
 
 3,3 
 
 3 
 
 208 
 
 1666 
 
 '5,9 
 
 340 
 
 3,4 
 
 0-000003 
 
 O-212 
 
 - -01730 
 
 -16,3 
 
 -00354 
 
 -3,5 
 
 3 
 
 216 
 
 1796 
 
 16,5 
 
 368 
 
 3,5 
 
 3 
 
 22O 
 
 1862 
 
 16,6 
 
 382 
 
 3,5 
 
 4 
 
 224 
 
 1929 
 
 '7,1 
 
 396 
 
 3,5 
 
 4 
 
 228 
 
 1999 
 
 i7,5 
 
 410 
 
 3,6 
 
 0-000004 
 
 0232 
 
 - '02069 
 
 - 17,9 
 
 -00425 
 
 -3,9 
 
 4 
 
 236 
 
 2142 
 
 18,4 
 
 441 
 
 4,o 
 
 4 
 
 240 
 
 2216 
 
 1 8,6 
 
 457 
 
 4,o 
 
 4 
 
 244 
 
 2291 
 
 18,8 
 
 473 
 
 4,0 
 
 4 
 
 248 
 
 2366 
 
 1 8,8 
 
 489 
 
 4, 
 
 0-000004 
 
 O 252 
 
 - -02441 
 
 -18,8 
 
 -00505 
 
 -4,0 
 
 The Argument Is the Annual Parallax p, as computed from the Approximate Tables IV, V, VI. 
 
 No Constant has been added to Column i, which gives an Additional Equation of the Semiduration. Columns 3 and 5 must be multiplied respectively into the 
 Semiduration as taken from Tables XLIX-LV, and the Redaction as taken from Tables LVI-LXIV, and the products taken as further corrections to these quantities. 
 
 When p is positive, these corrections apply to Ingress for the Shadow and Egresi for Transit of Disc ; when p is negative, they apply to Egress for the Shadow and Ingrets 
 for Transit of Disc. 
 
 208 
 
LXVI 
 
 SATELLITE III 
 
 Tables of the Phenomena 
 
 Standard Light-Curves in Eclipse 
 
 \ Lat. 
 
 (*C\ 
 
 10 
 
 1-5 1-6 
 05 O-4 
 
 1-7 1-8 1-9 
 03 0-2 01 
 
 -30 
 
 m 
 O'OI 
 
 m m 
 
 o'oi O'oi 
 
 m m m 
 O'OI O'OI O'OI 
 
 2-8 
 
 02 
 
 O2 'O2 
 
 'O2 '02 '02 
 
 2'6 
 
 04 
 
 04. -04 
 
 04 '04 '04 
 
 24 
 
 05 
 
 05 -05 
 
 'OS -05 -05 
 
 22 
 
 08 
 
 O8 '07 
 
 07 -07 -07 
 
 20 
 
 I I 
 
 II '10 
 
 10 'io -09 
 
 -18 
 
 0-15 
 
 0-15 o'i5 
 
 0-15 0-15 0-14 
 
 16 
 
 19 
 
 19 -19 
 
 19 '19 -18 
 
 1-4 
 
 *3 
 
 23 -23 
 
 *3 '*3 ' 2 3 
 
 1'2 
 
 28 
 
 28 -28 
 
 28 -28 -28 
 
 1O 
 
 34 
 
 34 '34 
 
 '34 '33 '33 
 
 -O-8 
 
 0-42 
 
 o'42 0*42 
 
 o - 42 0*41 0*40 
 
 06 
 
 49 
 
 '49 '49 
 
 49 -49 - 4 8 
 
 0-4 
 
 58 
 
 58 -58 
 
 58 -58 -57 
 
 -O-2 
 
 67 
 
 67 -67 
 
 67 -67 -66 
 
 00 
 
 075 
 
 075 075 
 
 075 075 075 
 
 \ Lat. 
 
 w\ 
 
 10 
 
 1-5 1-6 
 05 0-4 
 
 17 18 19 
 03 02 0-1 
 
 00 
 
 m 
 
 075 
 
 m m 
 
 075 075 
 
 m m m 
 
 075 075 075 
 
 + 02 
 
 0-83 
 
 0-83 0-83 
 
 0-83 0-83 0-83 
 
 04 
 
 0-95 
 
 0-95 0-95 
 
 0-95 0-95 0-94 
 
 06 
 
 'IO 
 
 io -io 
 
 io '09 -09 
 
 08 
 
 26 
 
 *5 '*5 
 
 25 -24 -24 
 
 10 
 
 41 
 
 40 -40 
 
 40 -39 -38 
 
 + 1-2 
 
 '59 
 
 58 -58 
 
 '57 -56 "54 
 
 1'4 
 
 79 
 
 78 77 
 
 76 75 72 
 
 1'6 
 
 2-OI 
 
 2-00 -99 
 
 98 -95 -91 
 
 1-8 
 
 2-26 
 
 2-43 2-22 
 
 2'2I 2'l8 2*12 
 
 20 
 
 2- 5 6 
 
 2-51 2-51 
 
 2- 4 8 2-45 2'35 
 
 + 22 
 
 2- 9 I 
 
 2-85 2-84 
 
 2'80 275 2'6l 
 
 2'4 
 
 3-29 
 
 3-21 3-19 
 
 3-14 3-08 2-91 
 
 2'6 
 28 
 
 374 
 4'36 
 
 3-63 3-60 
 4-17 4-13 
 
 3'54 3'45 3'z' 
 4-05 3-90 3-56 
 
 30 
 
 5'37 
 
 4-96 4-93 
 
 475 4-52 3-99 
 
 This table shows the Standard Light-curve of Eclipse for different latitudes in terms of Magnitude, and the Co-ordinate (i)o- For Latitude i -o (*) 
 is the fraction on multiple of the Sun's radius which is cut off by Jupiter's rim, as seen from the Centre of the Satellite's disc. 
 
 LXVI I Mean Motion in Light-Curve 
 
 I 
 
 2 
 
 3 
 
 4 
 
 Lat. 
 
 A^fon" 
 
 A 
 O'OI 
 
 Lat. 
 
 oos 
 
 0042 1 
 
 26 
 
 1-92 
 
 10 
 
 470 
 
 23 
 
 90 
 
 12 
 
 5'3 
 
 21 
 
 88 
 
 14 
 
 552 
 
 '9 
 
 86 
 
 16 
 
 589 
 
 18 
 
 84 
 
 18 
 
 622 
 
 16 
 
 82 
 
 20 
 
 00654 
 
 15 
 
 1 80 
 
 22 
 
 683 
 
 *4 
 
 78 
 
 24 
 
 711 
 
 H 
 
 76 
 
 26 
 
 737 
 
 13 
 
 74 
 
 28 
 
 762 
 
 12 
 
 72 
 
 030 
 
 00785 
 
 II 
 
 1 70 
 
 32 
 
 807 
 
 II 
 
 68 
 
 34 
 
 829 
 
 10 
 
 66 
 
 36 
 
 849 
 
 IO 
 
 64 
 
 38 
 
 868 
 
 IO 
 
 62 
 
 040 
 
 00887 
 
 9 
 
 1 60 
 
 42 
 
 904 
 
 9 
 
 58 
 
 44 
 
 921 
 
 8 
 
 56 
 
 46 
 
 937 
 
 8 
 
 54 
 
 48 
 
 952 
 
 8 
 
 52 
 
 050 
 
 00967 
 
 7 
 
 1 50 
 
 52 
 
 980 
 
 7 
 
 48 
 
 054 
 
 00993 
 
 7 
 
 1 46 
 
 i 
 
 2 
 
 3 
 
 4 
 
 Lat. 
 
 A(A) fori- 
 
 A 
 O'OI 
 
 Lat. 
 
 54 
 
 00993 
 
 7 
 
 1-46 
 
 56 
 
 1006 
 
 6 
 
 44 
 
 58 
 
 1018 
 
 6 
 
 42 
 
 60 
 
 1029 
 
 5 
 
 40 
 
 62 
 
 1039 
 
 5 
 
 38 
 
 64 
 
 1049 
 
 5 
 
 36 
 
 066 
 
 01058 
 
 S 
 
 1 34 
 
 68 
 
 1067 
 
 4 
 
 32 
 
 7O 
 
 1075 
 
 4 
 
 30 
 
 72 
 
 1083 
 
 4 
 
 28 
 
 74 
 
 1090 
 
 4 
 
 26 
 
 76 
 
 01097 
 
 3 
 
 1-24 
 
 78 
 
 1103 
 
 3 
 
 22 
 
 80 
 
 1108 
 
 3 
 
 20 
 
 82 
 
 1113 
 
 2 
 
 18 
 
 84 
 
 1117 
 
 2 
 
 16 
 
 086 
 
 0-II2I 
 
 2 
 
 1 14 
 
 88 
 
 1124 
 
 2 
 
 12 
 
 90 
 
 1128 
 
 2 
 
 IO 
 
 92 
 
 1130 
 
 I 
 
 08 
 
 94 
 
 M32 
 
 I 
 
 06 
 
 96 
 
 OII33 
 
 I 
 
 1 04 
 
 98 
 
 1134 
 
 O 
 
 02 
 
 1 00 
 
 01134 
 
 O 
 
 1 00 
 
 LXVI 1 1 
 Equation of Motion 
 
 \ Var. 
 
 
 
 Var. / 
 
 \ 
 
 - -01 -oo + 
 
 O1 
 
 / 
 
 Lat.\ 
 
 
 
 /Lat. 
 
 O1 
 
 + 130 - 
 
 >3 
 
 9 
 
 02 
 
 + IO 
 
 IO 
 
 8 
 
 0-3 
 
 + 80- 
 
 8 
 
 7 
 
 04 
 
 + 70- 
 
 7 
 
 6 
 
 05 
 06 
 
 + 70- 
 + 6 o - 
 
 7 
 6 
 
 5 
 4 
 
 10 
 
 + 60- 
 
 6 
 
 10 
 
 This correction to be applied to the entry of 
 Table LXVII ; the unit is -oooot. The Arguments 
 are the Variation and the Latitude as taken from 
 Tables XXXIII-XLII. 
 
 The Equation of this Table, corrected by that of Table LXVIII gires the motion of (*) in i second ; the Argument is the Latitude a. taken from Tables XXXVII-XLH. 
 
 zo, ' 
 
SATELLITE IV 
 
 Approximate Tables 
 
 of 
 
 Heliocentric and Geocentric Conjunction 
 
SATELLITE IV 
 
 Approximate Tables of Conjunction 
 
 Epochs of Conjunction 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 8 
 
 9 
 
 
 Year 
 
 Conjunc- 
 tion 
 
 Variation 
 for ioo d 
 
 a 
 
 Variation 
 for ioo d 
 
 ft 
 
 7 
 
 $ 
 
 e 
 
 
 
 d 
 
 
 d 
 
 
 d 
 
 d 
 
 d 
 
 d 
 
 
 1850 
 
 0-4617 
 
 + i,i 
 
 1785-9 
 
 + -03 
 
 33278 
 
 365-2 
 
 12-297 
 
 9-I9 
 
 The constant -o d '35oo 
 
 
 
 
 
 
 
 
 
 
 has been applied to 
 
 1851 
 
 4-0402 
 
 + 2,1 
 
 2154-6 
 
 + -05 
 
 302-47 
 
 3'2 
 
 13-685 
 
 10-61 
 
 each entry in column 
 
 *1852 
 
 7-6191 
 
 + i.i 
 
 2523-4 
 
 + -03 
 
 272-I7 
 
 6-6 
 
 15-074 
 
 12-03 
 
 2. 
 
 1853 
 
 10-1977 
 
 0,0 
 
 2892-0 
 
 oo 
 
 241-87 
 
 9-9 
 
 16-463 
 
 13-46 
 
 
 1854 
 
 I377S 8 
 
 + I,' 
 
 3260-6 
 
 + -03 
 
 211-57 
 
 13-2 
 
 1-161 
 
 14-88 
 
 The constant - o d- 3oo 
 
 1855 
 
 0-6008 
 
 - 3,2 
 
 36127 
 
 - -08 
 
 164-51 
 
 365-1 
 
 2-486 
 
 16-24 
 
 has been applied to 
 
 
 
 
 
 
 
 
 
 
 each entry in columns 
 
 *1856 
 
 4-1778 
 
 0,0 
 
 3980-9 
 
 oo 
 
 134-19 
 
 3'i 
 
 3-873 
 
 0-96 
 
 6, 7, 8, 9. 
 
 1857 
 
 6 7559 
 
 - 1,1 
 
 16-8 
 
 - -03 
 
 IO3'89 
 
 6-4 
 
 5*261 
 
 2*38 
 
 
 1858 
 
 io-3337 
 
 0,0 
 
 385-3 
 
 oo 
 
 73-58 
 
 9'7 
 
 6-648 
 
 3-80 
 
 For Eclipses the argu- 
 
 1859 
 
 13-9118 
 
 + 1,1 
 
 753-9 
 
 + -03 
 
 43^7 
 
 13-0 
 
 8-037 
 
 5-22 
 
 ment y is not wanted. 
 
 '1860 
 
 0-7368 
 
 + 2,1 
 
 1105-8 
 
 + -05 
 
 395-10 
 
 364-9 
 
 9-363 
 
 6-57 
 
 
 
 
 
 
 
 
 
 
 
 Column 2 corrected by 
 
 1861 
 
 3-3I57 
 
 + 3,2 
 
 1474-6 
 
 + -08 
 
 364-80 
 
 2-9 
 
 10752 
 
 8-00 
 
 the equations from the 
 
 1862 
 
 6-8950 
 
 0,0 
 
 1843-4 
 
 oo 
 
 334-50 
 
 6-2 
 
 12*141 
 
 9-42 
 
 following tables, gives 
 
 1863 
 
 10-4731 
 
 - 3,2 
 
 2212-0 
 
 - -08 
 
 304-19 
 
 9-6 
 
 13-529 
 
 10-84 
 
 Superior Conjunction 
 
 + 1864 
 
 14-050* 
 
 - 6,4 
 
 2580-3 
 
 - -17 
 
 273-89 
 
 12-9 
 
 14-916 
 
 12-26 
 
 as required for Eclipses 
 
 1865 
 
 16-6261 
 
 - 5,3 
 
 2948-3 
 
 - -14 
 
 2 43'57 
 
 1 6-2 
 
 16-301 
 
 13-67 
 
 and Occultations. To 
 
 
 
 
 
 
 
 
 
 
 find Inferior Conjunc- 
 
 1866 
 
 3-4486 
 
 - 9,6 
 
 3299-7 
 
 - " 2 5 
 
 196-51 
 
 2-8 
 
 o-933 
 
 15-03 
 
 tion for Shadows and 
 
 1867 
 
 7-0232 
 
 - 3,2 
 
 3667-3 
 
 - -08 
 
 l66'2O 
 
 6-1 
 
 2-319 
 
 16-45 
 
 Transits, add (or 
 
 *1868 
 
 10-6003 
 
 0,0 
 
 4035-6 
 
 oo 
 
 135-90 
 
 9"4 
 
 3706 
 
 I'll 
 
 subtract) one half 
 
 1869 
 
 13-1784 
 
 + 4,2 
 
 71-6 
 
 + -II 
 
 105-59 
 
 12*7 
 
 5-094 
 
 2 '60 
 
 the synodic period, 
 
 187O 
 
 0-0045 
 
 + 7,4 
 
 423-9 
 
 + -19 
 
 58-53 
 
 364-5 
 
 6-420 
 
 3-95 
 
 i.e. 8 d '3768, to the 
 
 
 
 
 
 
 
 
 
 
 numbers of columns 
 
 1871 
 
 3-5 8 54 
 
 + 8,4 
 
 793-1 
 
 + '22 
 
 28-23 
 
 2-6 
 
 7-811 
 
 5-37 
 
 2 , 4, 6, 7, 8, 9. 
 
 *1872 
 
 7-1666 
 
 + 6,4 
 
 1162-5 
 
 + -17 
 
 396-81 
 
 5-9 
 
 9-202 
 
 6-79 
 
 
 1873 
 
 9-7472 
 
 + 3,2 
 
 IS3I7 
 
 + -08 
 
 366-51 
 
 9-2 
 
 10-592 
 
 8-22 
 
 
 1874 
 
 13-3264 
 
 - 1,1 
 
 1900-6 
 
 - "03 
 
 336-20 
 
 12-6 
 
 1 1*981 
 
 9-64 
 
 
 1875 
 
 0*1506 
 
 - 6,4 
 
 2252-3 
 
 - '17 
 
 289-14 
 
 364-4 
 
 13-306 
 
 II'OO 
 
 
 *1876 
 
 3-7264 
 
 - 7,4 
 
 2620-3 
 
 - -19 
 
 258-83 
 
 2-4 
 
 14-692 
 
 12-41 
 
 
 1877 
 
 6-3019 
 
 - 7,4 
 
 2988-2 
 
 - -19 
 
 228-52 
 
 5'8 
 
 16-077 
 
 13-83 
 
 
 1878 
 
 9-8773 
 
 - 6,3 
 
 3356-0 
 
 - -16 
 
 198-22 
 
 9-1 
 
 0-772 
 
 15-24 
 
 
 1879 
 
 I3-453* 
 
 - 1,1 
 
 3724-0 
 
 - -03 
 
 167-91 
 
 i2'4 
 
 2-158 
 
 16-67 
 
 
 *1880 
 
 0-2774 
 
 + 3,2 
 
 4757 
 
 + -08 
 
 I20 - 85 
 
 364-2 
 
 3-483 
 
 1-33 
 
 
 1881 
 
 2-8566 
 
 + 6,3 
 
 1 1 2*0 
 
 + -16 
 
 90-55 
 
 2'3 
 
 4-872 
 
 2-75 
 
 
 1882 
 
 6-4372 
 
 + 6,3 
 
 481-2 
 
 + -16 
 
 60-24 
 
 5-6 
 
 6*262 
 
 4*17 
 
 
 1883 
 
 10-0176 
 
 + 4,2 
 
 850-4 
 
 + -u 
 
 29-93 
 
 8-9 
 
 7-652 
 
 5-59 
 
 
 *1884 
 
 13-5972 
 
 + i.i 
 
 1219-3 
 
 + -03 
 
 398-5I 
 
 12-2 
 
 9-042 
 
 7*01 
 
 
 1885 
 
 16-1758 
 
 - 2,1 
 
 1588-0 
 
 - -05 
 
 368-2I 
 
 I 5 -6 
 
 10-430 
 
 8-43 
 
 
 1886 
 
 2-9996 
 
 - 4,2 
 
 1939-6 
 
 - -ii 
 
 32I-I5 
 
 2-1 
 
 ii-755 
 
 979 
 
 
 1887 
 
 6-5762 
 
 - 4,2 
 
 2307-8 
 
 - -ii 
 
 290-84 
 
 5'4 
 
 13-142 
 
 1 1 '2 I 
 
 
 *1888 
 
 10-1528 
 
 - 3,2 
 
 2676-0 
 
 - -08 
 
 260-54 
 
 8-8 
 
 14-528 
 
 I2-62 
 
 
 1889 
 
 12-7298 
 
 - i, 
 
 3044-3 
 
 - -03 
 
 230-23 
 
 I2-I 
 
 15-915 
 
 14-04 
 
 
 189O 
 
 16-3076 
 
 + 3,2 
 
 3412-8 
 
 + -08 
 
 199-94 
 
 I5-4 
 
 0-612 
 
 I5H7 
 
 
 1891 
 
 3-1333 
 
 + 4,2 
 
 3764-9 
 
 + -ii 
 
 IS2-87 
 
 2'O 
 
 1-938 
 
 0-13 
 
 
 *1892 
 
 6-7130 
 
 + 4,2 
 
 4I33-9 
 
 + -ii 
 
 122-56 
 
 5'3 
 
 3-328 
 
 i-55 
 
 
 1893 
 
 9-2927 
 
 + 4,2 
 
 170*2 
 
 + -ii 
 
 92-25 
 
 8-6 
 
 4-718 
 
 2*97 
 
 
 1894 
 
 12-8724 
 
 + 2,1 
 
 539-2 
 
 + -05 
 
 61-95 
 
 11-9 
 
 6-108 
 
 4'39 
 
 
 1895 
 
 16-4514 
 
 - 1,1 
 
 908-0 
 
 - -03 
 
 31-65 
 
 15-2 
 
 7-497 
 
 5-82 
 
 
 *1896 
 
 3-2755 
 
 - 2,1 
 
 12597 
 
 - -05 
 
 383-47 
 
 1-8 
 
 8-821 
 
 7-i7 
 
 
 1897 
 
 5-8529 
 
 - 4,2 
 
 1628-1 
 
 'ii 
 
 353-16 
 
 5'i 
 
 10*208 
 
 8-59 
 
 
 1898 
 
 9"4 2 95 
 
 - 3,2 
 
 1996-3 
 
 - -08 
 
 322-86 
 
 8-4 
 
 11-595 
 
 10-00 
 
 
 1899 
 
 13-0064 
 
 - 2,1 
 
 2364-6 
 
 - -05 
 
 292-55 
 
 n-8 
 
 12-982 
 
 11*42 
 
 
 1900 
 
 16-5838 
 
 + 1,1 
 
 2732-9 
 
 + -03 
 
 262*24 
 
 15-1 
 
 14-369 
 
 12-84 
 
 
 Period 
 
 167536 
 
 ... 
 
 4332-6 
 
 ... 
 
 398-88 
 
 365-3 
 
 16-690 
 
 16-69 
 
 
I continued 
 
 SATELLITE IV 
 
 Approximate Tables of Conjunction 
 
 Epochs of Conjunction 
 
 I 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 
 Year 
 
 Conjunc- 
 
 Variation 
 
 (J 
 
 Variation 
 
 
 
 X 
 
 
 
 
 tion 
 
 for ioo d 
 
 
 for ioo d 
 
 
 
 \J 
 
 
 
 
 d 
 
 
 d 
 
 
 d 
 
 d 
 
 d 
 
 d 
 
 
 1900 : 16-5838 
 
 + '.I 
 
 2732-9 
 
 + -03 
 
 262-24 
 
 I5-I 
 
 14-369 
 
 12-84 
 
 The constant -o d- 35oo 
 
 
 
 
 
 
 
 
 
 has been applied to 
 
 19O1 3-4088 
 
 + 3,2 
 
 3084-9 
 
 + -08 
 
 2I5-I8 
 
 1-6 
 
 15-694 
 
 14-20 
 
 each entry in column 
 
 19O2 6-9881 
 
 + 2,1 
 
 34537 
 
 + -05 
 
 184-88 
 
 5-o 
 
 0-393 
 
 15-62 
 
 2. 
 
 1903 10-5671 
 
 0,0 
 
 3822-5 
 
 oo 
 
 I54-57 
 
 8-3 
 
 1782 
 
 0-35 
 
 
 *19O4 14-1452 
 
 - 1,1 
 
 4191-1 
 
 - -03 
 
 124-27 
 
 11-6 
 
 3-I70 
 
 177 
 
 The constant -o d '3OO 
 
 19O5 16-7230 
 
 - 2,1 
 
 227-0 
 
 - -05 
 
 93-9 6 
 
 14-9 
 
 4-558 
 
 3-19 
 
 has been applied to 
 
 
 
 
 
 
 
 
 
 each entry in columns 
 
 1906 3-5467 
 
 - 2,1 
 
 578-6 
 
 - -05 
 
 46-90 
 
 1-5 
 
 5-882 
 
 4*55 
 
 6, 7, 8, 9. 
 
 1907 7-1241 
 
 - 1,1 
 
 947-0 
 
 - -03 
 
 16-60 
 
 4-8 
 
 7-269 
 
 5'97 
 
 
 *19O8 i 10-7018 
 
 0,0 
 
 i3'5'5 
 
 oo 
 
 385-17 
 
 8-1 
 
 8-657 
 
 
 For Eclipses the argu- 
 
 19O9 13-2800 
 
 0,0 
 
 1684-0 
 
 oo 
 
 354-87 
 
 n'4 
 
 I0-0 4 5 
 
 8-80 
 
 ment y is not wanted. 
 
 191O 0-1046 
 
 + 2,1 
 
 2035-9 
 
 + -05 
 
 307-79 
 
 363-3 
 
 II-370 
 
 i o-i 6 
 
 
 
 
 
 
 
 
 
 
 Column 2 corrected by 
 
 1911 3-6835 
 
 + 1,1 
 
 2404-6 
 
 + -03 
 
 277-50 
 
 1-3 
 
 12759 
 
 11-58 
 
 the equations from the 
 
 *1912 7-2621 
 
 + 1,1 
 
 2773-3 
 
 + -03 
 
 247-20 
 
 4-6 
 
 14-I47 
 
 13-00 
 
 following tables, gives 
 
 1913 9-8406 
 
 0,0 
 
 3142-0 
 
 oo 
 
 216-89 
 
 8-0 
 
 15-536 
 
 1442 
 
 Superior Conjunction 
 
 1914 
 
 13-4187 
 
 - 2,1 
 
 3510-6 
 
 - -05 
 
 186-59 
 
 1 1'3 
 
 0-233 
 
 15-84 
 
 as required for Eclipses 
 
 1915 
 
 0-2425 
 
 ~ 2,1 
 
 3862-2 
 
 - -05 
 
 '39'53 
 
 363-1 
 
 1-558 
 
 0-51 
 
 and Occultations. To 
 
 
 
 
 
 
 
 
 
 
 find Inferior Conjunc- 
 
 *1916 
 
 3-8I99 
 
 - 3,2 
 
 4230-6 
 
 - -08 
 
 109-22 
 
 11 
 
 2-945 
 
 i-93 
 
 tion for Shadows and 
 
 1917 6-3969 
 
 0,0 
 
 266-2 
 
 oo 
 
 78-92 
 
 4'5 
 
 4-332 
 
 3'3S 
 
 Transits, add (or 
 
 1918 9-9751 
 
 + 1,1 
 
 634-8 
 
 + -03 
 
 48-61 
 
 7-8 
 
 5720 
 
 476 
 
 subtract) one half 
 
 1919 , 13-5536 
 
 + 2,1 
 
 1003-5 
 
 + -05 
 
 18-30 
 
 in 
 
 7-109 
 
 6-18 
 
 the synodic period, 
 
 *192O 0-3789 
 
 + 3,2 
 
 1355-5 
 
 + -08 
 
 370-13 
 
 362-9 
 
 8-435 
 
 7-54 
 
 i.e. 8 d -3768, to the 
 
 
 
 
 
 
 
 
 
 numbers of columns 
 
 1921 2-9583 
 
 + 4,2 
 
 1724-4 
 
 + -II 
 
 339-82 
 
 ro 
 
 9-824 
 
 8-96 
 
 2, 4, 6, 7, 8, 9. 
 
 1922 6-5379 
 
 - 4,* 
 
 2093-4 
 
 - -II 
 
 309-52 
 
 4'3 
 
 11*214 
 
 10-38 
 
 
 1923 ' 10-1145 
 
 - 1,1 
 
 2461-6 
 
 - -03 
 
 279-21 
 
 7-6 
 
 1 2 '6OO 
 
 n-8o 
 
 
 *1924 13-6923 
 
 - 7,4 
 
 2830-0 
 
 - -19 
 
 248-91 
 
 iro 
 
 I3-988 
 
 13-22 
 
 
 1925 
 
 16-2677 
 
 - 8,4 
 
 3I97-9 
 
 - '22 
 
 218-60 
 
 I4-3 
 
 I5-373 
 
 14-64 
 
 
 1926 
 
 3-0892 
 
 - 7,4 
 
 3549" 
 
 - -I 9 
 
 171-54 
 
 0-8 
 
 O-O05 
 
 15-99 
 
 
 1927 | 6-6647 
 
 - 3,2 
 
 3916-8 
 
 - -08 
 
 141-22 
 
 4' 2 
 
 I-390 
 
 072 
 
 
 *1928 
 
 10-2416 
 
 + 1,1 
 
 4285-1 
 
 + -03 
 
 110-92 
 
 7'5 
 
 2777 
 
 2-13 
 
 
 1929 
 
 12-8202 
 
 + 6,3 
 
 321-2 
 
 + -16 
 
 80-61 
 
 10-8 
 
 4-165 
 
 3'55 
 
 
 1930 
 
 16-4006 
 
 + 7,4 
 
 690-4 
 
 + -19 
 
 50-30 
 
 H-i 
 
 
 4-97 
 
 
 1931 
 
 3-2280 
 
 + 7,4 
 
 1042-9 
 
 + -19 
 
 3-26 
 
 07 
 
 6-883 
 
 6-34 
 
 
 *1932 
 
 6-8088 
 
 + 6,3 
 
 1412-2 
 
 + -16 
 
 37I-84 
 
 4-0 
 
 8-274 
 
 7-76 
 
 
 1933 
 
 9-3893 
 
 + 2,1 
 
 1781-3 
 
 + "05 
 
 341-53 
 
 7'3 
 
 9-664 
 
 9-18 
 
 
 1934 
 
 12-9682 
 
 - 2,1 
 
 2150-1 
 
 - -05 
 
 311-22 
 
 io - 6 
 
 11-053 
 
 10-60 
 
 
 1935 
 
 16-5456 
 
 - 6,3 
 
 2518-5 
 
 - -16 
 
 280-92 
 
 14-0 
 
 I2-440 
 
 I2'OI 
 
 
 *1936 
 
 3-3679 
 
 - 8,4 
 
 28697 
 
 - -21 
 
 233-86 
 
 0-5 
 
 13763 
 
 13-37 
 
 
 1937 
 
 5-9429 
 
 - 8,4 
 
 3237-5 
 
 - -21 
 
 203-55 
 
 3-8 
 
 15-148 
 
 '479 
 
 
 1938 
 
 9'5 I 79 
 
 - 4,2 
 
 3605-3 
 
 - Ml 
 
 I73-25 
 
 7" 2 
 
 I6-533 
 
 l6'20 
 
 
 1939 
 
 13-0945 
 
 - i,' 
 
 3973-4 
 
 - '3 
 
 142-94 
 
 10-5 
 
 I-229 
 
 0-93 
 
 
 *194O 
 
 16-6723 
 
 + 4,2 
 
 9'3 
 
 + -ii 
 
 112-63 
 
 '3-8 
 
 2-6l7 
 
 2-35 
 
 
 1941 
 
 2-4984 
 
 + 6,3 
 
 361-5 
 
 + -16 
 
 65-57 
 
 o'4 
 
 3-944 
 
 37' 
 
 
 1942 
 
 6-0789 
 
 + 5,3 
 
 7307 
 
 + '14 
 
 
 37 
 
 5-334 
 
 S-H 
 
 
 1943 
 
 9-6589 
 
 + 3,2 
 
 1099-8 
 
 + -08 
 
 4'97 
 
 7-0 
 
 6723 
 
 6-56 
 
 
 *1944 
 
 13-2383 
 
 0,0 
 
 1468-7 
 
 oo 
 
 373-54 
 
 10-3 
 
 8-113 
 
 7-98 
 
 
 1945 
 
 15-8164 
 
 - 2,1 
 
 I837-3 
 
 - -05 
 
 343-24 
 
 13-6 
 
 9-50I 
 
 9'4 
 
 
 1946 
 
 2-6401 
 
 - 4, 2 
 
 2188-9 
 
 - -ii 
 
 296-18 
 
 0-2 
 
 IO-825 
 
 1075 
 
 
 1947 
 
 6-2168 
 
 - 3,* 
 
 *557'i 
 
 - -08 
 
 265-87 
 
 3'5 
 
 12-213 
 
 12-17 
 
 
 "1948 
 
 9-7938 
 
 - 2,1 
 
 2925-3 
 
 -05 
 
 235-56 
 
 6-8 
 
 I3-599 
 
 13-58 
 
 
 1949 
 
 12-3711 
 
 0,0 
 
 32937 
 
 oo 
 
 205-25 
 
 IO-2 
 
 14-987 
 
 15-00 
 
 
 195O 
 
 '5 '9493 
 
 + 3,2 
 
 3662-3 
 
 + -08 
 
 174-95 
 
 13-5 
 
 16-375 
 
 16-42 
 
 
 Period 
 
 167536 
 
 ... 
 
 4332-6 
 
 ... 
 
 398-88 
 
 365-3 
 
 16-690 
 
 16-69 
 
 
 213 
 
I continued 
 
 SATELLITE IV 
 
 Approximate Tables of Conjunction 
 
 Epochs of Conjunction 
 
 I 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 
 Year 
 
 Conjunc- 
 tion 
 
 Variation 
 for ioo d 
 
 a 
 
 Variation 
 for ioo d 
 
 ft 
 
 7 
 
 a 
 
 e 
 
 
 
 d 
 
 
 d 
 
 
 d 
 
 d 
 
 d 
 
 d 
 
 
 1950 
 
 ij'9493 
 
 + 3,2 
 
 3662-3 
 
 + -08 
 
 I74-95 
 
 I3-5 
 
 I6-375 
 
 16-42 
 
 ?he constant -o d '35oo 
 
 
 
 
 
 
 
 
 
 
 has been applied to 
 
 1951 
 
 27751 
 
 + 3,2 
 
 4014-4 
 
 + -08 
 
 I27- 9 
 
 O'O 
 
 I'OIO 
 
 no 
 
 each entry in column 
 
 *1952 
 
 6-3544 
 
 + 4,2 
 
 50-7 
 
 + -n 
 
 97-59 
 
 3-4 
 
 2-399 
 
 2-52 
 
 2. 
 
 1953 
 
 8-9340 
 
 + 2,1 
 
 4197 
 
 + -05 
 
 67-28 
 
 6-7 
 
 379 
 
 3'94 
 
 
 1954 
 
 12-5130 
 
 + 1,1 
 
 788-5 
 
 + "03 
 
 36-98 
 
 IO'O 
 
 5-178 
 
 5-36 
 
 The constant -o d '3OO 
 
 1955 
 
 16-0915 
 
 - 1,1 
 
 II57-I 
 
 - -03 
 
 6-67 
 
 13-3 
 
 6-567 
 
 6-78 
 
 has been applied to 
 
 
 
 
 
 
 
 
 
 
 each entry in columns 
 
 *1956 
 
 2-9157 
 
 - 2,1 
 
 1508-9 
 
 - -05 
 
 3S8-50 
 
 365-2 
 
 7-891 
 
 8-13 
 
 6, 7, 8, 9- 
 
 1957 
 
 5-493I 
 
 - 4,* 
 
 I877-2 
 
 - -ii 
 
 328-I9 
 
 3'2 
 
 9-279 
 
 9-55 
 
 
 1958 
 
 9-0697 
 
 - 2,1 
 
 22454 
 
 - -05 
 
 297-89 
 
 6-5 
 
 10-665 
 
 10-97 
 
 ?or Eclipses the argu- 
 
 1959 
 
 12-6471 
 
 0,0 
 
 2613-8 
 
 00 
 
 267-58 
 
 9-8 
 
 12-052 
 
 12-39 
 
 ment y is not wanted. 
 
 *196O 
 
 16-2252 
 
 + 2,1 
 
 2982*4 
 
 + -05 
 
 237-27 
 
 13-2 
 
 I3-440 
 
 13-81 
 
 
 
 
 
 
 
 
 
 
 
 Column 2 corrected by 
 
 1961 
 
 2-0506 
 
 + 2,1 
 
 3334-3 
 
 + -05 
 
 190*22 
 
 365-0 
 
 14-766 
 
 15-17 
 
 the equations from the 
 
 1962 
 
 5-6294 
 
 + 1,1 
 
 3703-2 
 
 + -03 
 
 I59-9I 
 
 3-0 
 
 16-155 
 
 16-59 
 
 following tables, gives 
 
 1963 
 
 9-2080 
 
 - I,' 
 
 4071-9 
 
 - -03 
 
 129-60 
 
 6-4 
 
 0-853 
 
 1-32 
 
 Superior Conjunction 
 
 *1964 
 
 12-7857 
 
 - 2,1 
 
 I07-8 
 
 - -05 
 
 99 - 30 
 
 9-7 
 
 2-241 
 
 274 
 
 as required for Eclipses 
 
 1965 
 
 15-3632 
 
 - 2,1 
 
 476-2 
 
 - -05 
 
 68-99 
 
 13-0 
 
 3-628 
 
 4-16 
 
 and Occultations. To 
 
 
 
 
 
 
 
 
 
 
 find Inferior Conjunc- 
 
 1966 
 
 2-1870 
 
 0,0 
 
 827-8 
 
 oo 
 
 2I-93 
 
 364-8 
 
 4-952 
 
 S'5 1 
 
 tion for Shadows and 
 
 1967 
 
 5-7651 
 
 - 3,2 
 
 1196-4 
 
 - -08 
 
 390-5I 
 
 2-9 
 
 6-340 
 
 6-93 
 
 Transits, add (or 
 
 *1968 
 
 9-3421 
 
 + 1,1 
 
 15647 
 
 + -03 
 
 360-20 
 
 6-2 
 
 7-727 
 
 8-34 
 
 subtract) one half 
 
 1969 
 
 11-9206 
 
 + 2,1 
 
 I933-4 
 
 + -05 
 
 329-89 
 
 9'5 
 
 9-115 
 
 9-76 
 
 the synodic period, 
 
 197O 
 
 15-4995 
 
 + 2,1 
 
 2302'! 
 
 + -05 
 
 299-59 
 
 12-8 
 
 10-504 
 
 i rig 
 
 i.e. 8 d> 3768, to the 
 
 
 
 
 
 
 
 
 
 
 numbers of columns 
 
 1971 
 
 2-3249 
 
 + I,' 
 
 2654-2 
 
 + -03 
 
 252-53 
 
 3647 
 
 1 1-830 
 
 12-55 
 
 z, 4, 6, 7, 8, 9. 
 
 *1972 
 
 5'935 
 
 + 1,1 
 
 3022-9 
 
 + -03 
 
 222*23 
 
 2-7 
 
 13-218 
 
 I3-97 
 
 
 1973 
 
 8-4819 
 
 - 2,1 
 
 339''S 
 
 - -05 
 
 I9I-92 
 
 6-0 
 
 14-608 
 
 I5-39 
 
 
 1974 
 
 12-0594 
 
 - 3,* 
 
 3759'9 
 
 - -08 
 
 l6l-62 
 
 9'4 
 
 I5-995 
 
 0-12 
 
 
 1975 
 
 15-6363 
 
 - 2,1 
 
 4128-2 
 
 - -05 
 
 I3I-3I 
 
 12-7 
 
 0-691 
 
 i'54 
 
 
 *1976 
 
 2-4601 
 
 + 4, z 
 
 147-2 
 
 + -II 
 
 84-24 
 
 364-5 
 
 2-015 
 
 2-88 
 
 
 1977 
 
 5-0398 
 
 - 7,4 
 
 516-2 
 
 - '19 
 
 53^5 
 
 2-6 
 
 3-405 
 
 4-3I 
 
 
 1978 
 
 8-6153 
 
 + i,i 
 
 884-1 
 
 + -03 
 
 23-63 
 
 5'9 
 
 4-790 
 
 5-72 
 
 
 1979 
 
 12-1938 
 
 + 4,2 
 
 1252-7 
 
 + -II 
 
 392-21 
 
 9-2 
 
 6-179 
 
 7-I4 
 
 
 *198O 
 
 157735 
 
 + 4,2 
 
 1621-7 
 
 + -II 
 
 361-9I 
 
 12-5 
 
 7-569 
 
 8-57 
 
 
 1981 
 
 J'5997 
 
 + 3,2 
 
 1973-9 
 
 + -08 
 
 3I4-85 
 
 364-3 
 
 8-895 
 
 9-93 
 
 
 1982 
 
 5-1789 
 
 - 1,1 2342-8 
 
 - -03 
 
 284-55 
 
 2-4 
 
 10-285 
 
 n-35 
 
 
 1983 
 
 8-7567 
 
 - 6,3 
 
 2711-3 
 
 - -16 
 
 254-24 
 
 57 
 
 11-672 
 
 12-77 
 
 
 -1984 
 
 12-3325 
 
 - 7,4 
 
 3079'3 
 
 - ''9 
 
 223-94 
 
 9-0 
 
 13-058 
 
 14-19 
 
 
 1985 
 
 14-9079 
 
 - 9,5 
 
 3447'z 
 
 - -25 
 
 I93-63 
 
 12-4 
 
 H'443 
 
 15-61 
 
 
 1986 
 
 1-7290 
 
 - 6,3 
 
 379 8 ' 1 
 
 - -16 
 
 146-56 
 
 364-2 
 
 15-765 
 
 0-26 
 
 
 1987 
 
 5'349 
 
 - 2, 1 
 
 4166-0 
 
 - 'OS 
 
 II6-26 
 
 2-2 
 
 0-460 
 
 1-68 
 
 
 '1988 
 
 8-8822 
 
 + 2,1 
 
 201-8 
 
 + -05 
 
 85-95 
 
 5-6 
 
 1-847 
 
 3-10 
 
 
 1989 
 
 11*4612 
 
 + 5,3 
 
 570-6 
 
 + -14 
 
 55^4 
 
 8-8 
 
 3-236 
 
 4-52 
 
 
 1990 
 
 15-0412 
 
 + 8,4 
 
 9397 
 
 + -22 
 
 25-34 
 
 12-2 
 
 4-626 
 
 S'94 
 
 
 1991 
 
 1-8689 
 
 + 7,4 
 
 1292-3 
 
 + -19 
 
 377-I6 
 
 364-0 
 
 5-954 
 
 7-30 
 
 
 *1992 
 
 5'4497 
 
 + 5,3 
 
 1661-6 
 
 + -14 
 
 346-86 
 
 2'I 
 
 7-345 
 
 8-72 
 
 
 1993 
 
 8*0299 
 
 + i,i 
 
 2030-7 
 
 + -03 
 
 316-56 
 
 5'4 
 
 8-735 
 
 10-15 
 
 
 1994 
 
 11-6084 
 
 - 3,2 
 
 2399'4 
 
 - -08 
 
 286-26 
 
 87 
 
 10-123 
 
 11-57 
 
 
 1995 
 
 15-1854 
 
 - 7,4 
 
 2767-6 
 
 - -19 
 
 255'95 
 
 I2'O 
 
 11-510 
 
 12-99 
 
 
 *1996 
 
 2-0073 
 
 - 8,4 
 
 3118-8 
 
 - '22 
 
 208-88 
 
 363-9 
 
 12-833 
 
 H-33 
 
 
 1997 
 
 4-5823 
 
 - 7,4 
 
 3486-5 
 
 - -19 
 
 I78-59 
 
 *9 
 
 14-217 
 
 15-76 
 
 
 1998 
 
 8-1578 
 
 - 4,2 
 
 3854-4 
 
 - 'II 
 
 I48-27 
 
 5'2 
 
 15-603 
 
 0-48 
 
 
 1999 
 
 U'7344 
 
 0,0 
 
 4222-6 
 
 00 
 
 II7-96 
 
 8-6 
 
 0-299 
 
 1-90 
 
 
 *2OOO 
 
 i5'3>24 
 
 
 258-6 
 
 oo 
 
 87-66 
 
 11-9 
 
 1-687 
 
 3-32 
 
 
 Period 
 
 16-7536 
 
 
 4332-6 
 
 
 398-88 
 
 365-3 
 
 16-690 
 
 16-69 
 
 
 214 
 
II 
 
 SATELLITE IV 
 
 Approximate Tables of Conjunction 
 
 Motions of the Arguments 
 
 I 
 
 2 
 
 3 
 
 4 
 
 5 
 
 Syn. Rev. 
 
 Date 
 
 , ft, 7 
 
 s 
 
 
 
 
 d 
 
 d 
 
 d 
 
 d 
 
 1 
 
 January 167536 
 
 16-75 
 
 0-063 
 
 0-06 
 
 2 
 
 February 2-5071 
 
 33'5' 
 
 126 
 
 3 
 
 3 
 
 19-2607 
 
 50*26 
 
 189 
 
 19 
 
 4 
 
 March 8*0142 
 
 67-01 
 
 252 
 
 26 
 
 5 
 
 247678 
 
 8377 
 
 315 
 
 J 
 
 6 
 
 April 10-5213 
 
 100-52 
 
 0-379 
 
 0*39 
 
 7 
 
 27-2749 
 
 117*27 
 
 442 
 
 '45 
 
 8 
 
 May 14-0284 
 
 134*03 
 
 'SOS 
 
 5* 
 
 9 
 
 30-7820 
 
 150-78 
 
 568 
 
 58 
 
 10 
 
 June 16-5355 
 
 167-54 
 
 6 3 I 
 
 -65 
 
 11 
 
 July 3-2891 
 
 184-29 
 
 0-694 
 
 0-71 
 
 12 
 
 20*0426 
 
 201*04 
 
 757 
 
 77 
 
 13 
 
 August 57962 
 
 217-80 
 
 820 
 
 84 
 
 14 
 
 22-5497 
 
 234-55 
 
 883 
 
 90 
 
 15 
 
 September 8*3033 
 
 251*30 
 
 946 
 
 '97 
 
 16 
 
 25*0568 
 
 268*06 
 
 *OIO 
 
 03 
 
 17 
 
 October 11*8104 
 
 284*81 
 
 073 
 
 io 
 
 18 
 
 28-5639 
 
 301*56 
 
 136 
 
 16 
 
 19 
 
 November 14*3175 
 
 318-32 
 
 199 
 
 23 
 
 20 
 
 December 1-0710 
 
 335-07 
 
 262 
 
 29 
 
 21 
 
 17-8246 
 
 351-82 
 
 3*5 
 
 36 
 
 22 
 
 34'578i 
 
 368-58 
 
 388 
 
 '4* 
 
 In Leap Year, diminish the date in Column 2 by i d after Feb. 28. 
 
 "5 
 
Ill 
 
 SATELLITE IV 
 
 Approximate Tables of Conjunction 
 
 Equation of Conjunction Argument a EC., Oc., Sh., Tr. 
 
 I 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 I 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 a 
 
 Equation 
 
 A 
 I0< 
 
 a 
 
 Equation 
 
 A 
 IO-* 
 
 a 
 
 Equation 
 
 A 
 IO d 
 
 a 
 
 Equation 
 
 A 
 IOd 
 
 a 
 
 Equation 
 
 A 
 10* 
 
 d 
 
 d 
 
 
 d 
 
 d 
 
 
 d 
 
 d 
 
 
 d 
 
 d 
 
 
 d 
 
 d 
 
 
 
 
 0-3000 
 
 + 40 
 
 1OOO 
 
 0-5584 
 
 + 3 
 
 2OOO 
 
 0'3584 
 
 -35 
 
 3000 
 
 0-0633 
 
 -15 
 
 4OOO 
 
 0-I732 
 
 + 35 
 
 20 
 
 3080 
 
 4 
 
 1O2O 
 
 5588 
 
 + i 
 
 2020 
 
 3514 
 
 35 
 
 3O20 
 
 604 
 
 H 
 
 4O20 
 
 1802 
 
 35 
 
 40 
 
 3160 
 
 40 
 
 1O4O 
 
 5589 
 
 o 
 
 2O4O 
 
 '3445 
 
 35 
 
 3040 
 
 577 
 
 13 
 
 4O40 
 
 1873 
 
 36 
 
 6O 
 
 '3*39 
 
 40 
 
 1O6O 
 
 5588 
 
 - i 
 
 2O6O 
 
 '3375 
 
 35 
 
 3060 
 
 752 
 
 12 
 
 4060 
 
 1944 
 
 36 
 
 SO 
 
 3319 
 
 40 
 
 108O 
 
 5585 
 
 2 
 
 2O8O '3305 
 
 35 
 
 3O80 
 
 529 
 
 II 
 
 4080 
 
 2018 
 
 37 
 
 1OO 
 
 3398 
 
 39 
 
 1100 
 
 5580 
 
 3 
 
 21 OO 
 
 3234 
 
 35 
 
 31 OO 
 
 508 
 
 IO 
 
 41 OO 
 
 2092 
 
 37 
 
 12O 
 
 0-3476 
 
 + 39 
 
 11 20 
 
 0-5572 
 
 - 4 
 
 21 2O 0-3164 
 
 -35 
 
 31 2O 
 
 0-0489 
 
 - 9 
 
 4120 
 
 0-2167 
 
 + 38 
 
 140 
 
 '3555 
 
 39 
 
 1 140 
 
 5563 
 
 5 
 
 21 4O -3093 
 
 36 
 
 31 4O 
 
 472 
 
 8 
 
 41 4O 
 
 2243 
 
 38 
 
 16O 
 
 3632 
 
 39 
 
 1 160 
 
 5551 
 
 6 
 
 21 6O -3022 
 
 35 
 
 31 6O 
 
 457 
 
 7 
 
 41 6O 
 
 2319 
 
 39 
 
 ISO 
 
 3709 
 
 38 
 
 1180 
 
 5538 
 
 7 
 
 218O '2952 
 
 35 
 
 3180 
 
 444 
 
 6 
 
 4180 
 
 2397 
 
 39 
 
 200 
 
 3785 
 
 38 
 
 12OO 
 
 55Z2 
 
 9 
 
 22OO > -2881 
 
 36 
 
 320O 
 
 434 
 
 5 
 
 42OO 
 
 2474 
 
 39 
 
 22O 
 
 0-3861 
 
 + 38 
 
 1220 
 
 0-5504 
 
 - 10 
 
 222O 0-2810 
 
 -35 
 
 3220 
 
 0-0425 
 
 - 4 
 
 422O 
 
 0-2553 
 
 + 39 
 
 240 
 
 '3935 
 
 37 
 
 1240 
 
 5484 
 
 ii 
 
 224O '2740 
 
 35 
 
 324O 
 
 418 
 
 3 
 
 424O 
 
 2631 
 
 39 
 
 26O 
 
 4009 
 
 37 
 
 126O 
 
 5462 
 
 12 
 
 226O -2669 
 
 35 
 
 3260 
 
 414 
 
 2 
 
 426O 
 
 271 I 
 
 40 
 
 28O 
 
 4082 
 
 37 
 
 1280 
 
 5438 
 
 12 
 
 228O '2599 
 
 35 
 
 3280 
 
 411 
 
 - I 
 
 4280 
 
 2790 
 
 40 
 
 3OO 
 
 4154 
 
 36 
 
 1300 
 
 54'3 
 
 13 
 
 23OO '2529 
 
 35 
 
 33OO 
 
 411 
 
 + I 
 
 430O 
 
 2870 
 
 40 
 
 32O 
 
 0*4224 
 
 + 35 
 
 132O 
 
 0-5385 
 
 -14 
 
 232O 0-2460 
 
 -35 
 
 332O 
 
 0*0413 
 
 + 2 
 
 4320 
 
 0-2950 
 
 + 40 
 
 340 
 
 4293 
 
 34 
 
 1340 
 
 5356 
 
 15 
 
 234O '2391 
 
 35 
 
 3340 
 
 418 
 
 3 
 
 434O 
 
 3030 
 
 40 
 
 36O 
 
 43<5l 
 
 34 
 
 136O 
 
 '53*5 
 
 16 
 
 236O 
 
 2322 
 
 34 
 
 3360 
 
 424 
 
 4 
 
 436O 
 
 31 10 
 
 40 
 
 380 
 
 4428 
 
 33 
 
 138O 
 
 5291 
 
 17 
 
 238O 
 
 2254 
 
 34 
 
 3380 
 
 433 
 
 5 
 
 4380 
 
 3190 
 
 40 
 
 400 
 
 '4493 
 
 3* 
 
 1400 
 
 5257 
 
 18 
 
 24OO 
 
 2186 
 
 34 
 
 3400 
 
 444 
 
 6 
 
 44OO 
 
 3269 
 
 40 
 
 42O 
 
 '4S57 
 
 + 3* 
 
 142O 
 
 0*5220 
 
 -19 
 
 2420 
 
 0-2119 
 
 -34 
 
 342O 
 
 0-0457 
 
 + 7 
 
 4420 
 
 0*3349 
 
 + 40 
 
 440 
 
 4619 
 
 3i 
 
 1440 
 
 5182 
 
 20 
 
 244O 
 
 2052 
 
 33 
 
 3440 
 
 472 
 
 8 
 
 444O 
 
 - 34 2 7 
 
 39 
 
 460 
 
 4680 
 
 3 
 
 1460 
 
 5142 
 
 21 
 
 2460 
 
 1987 
 
 33 
 
 346O 
 
 49 
 
 9 
 
 4460 i *355 
 
 39 
 
 48O 
 
 '4739 
 
 29 
 
 1480 
 
 5100 
 
 21 
 
 2480 
 
 1922 
 
 33 
 
 3480 
 
 509 
 
 10 
 
 4480 -3584 
 
 39 
 
 5OO 
 
 4796 
 
 28 
 
 15OO 
 
 5057 
 
 22 
 
 2500 
 
 1857 
 
 32 
 
 350O 
 
 S3' 
 
 12 
 
 45OO -3661 
 
 38 
 
 52O 
 
 0-4852 
 
 + 28 
 
 152O 
 
 0-5012 
 
 -23 
 
 252O 
 
 0*1794 
 
 -32 
 
 3520 
 
 0-0556 
 
 + 13 
 
 452O 0*3737 
 
 + 38 
 
 540 
 
 4906 
 
 27 
 
 1540 
 
 4966 
 
 4 
 
 2540 
 
 1731 
 
 3i 
 
 3540 
 
 582 
 
 '4 
 
 454O 
 
 3813 
 
 38 
 
 560 
 
 4958 
 
 26 
 
 156O 
 
 4918 
 
 24 
 
 256O 
 
 1669 
 
 3i 
 
 3560 
 
 610 
 
 15 
 
 456O 
 
 3889 
 
 37 
 
 58O 
 
 5008 
 
 25 
 
 158O 
 
 4869 
 
 25 
 
 258O 
 
 1609 
 
 3 
 
 3580 
 
 641 
 
 16 
 
 4580 
 
 3962 
 
 37 
 
 6OO 
 
 5056 
 
 24 
 
 16OO 
 
 4818 
 
 26 
 
 260O 
 
 !549 
 
 30 
 
 3600 
 
 674 
 
 17 
 
 460O 
 
 4036 
 
 37 
 
 62O 
 
 0-5103 
 
 + *3 
 
 162O 
 
 0-4766 
 
 -26 
 
 262O 
 
 0*1490 
 
 -29 
 
 362O 
 
 0*0709 
 
 + 18 
 
 4620 
 
 0-4109 
 
 + 36 
 
 64O 
 
 5H7 
 
 22 
 
 164O 
 
 '47 1 3 
 
 *7 
 
 2640 
 
 'H33 
 
 29 
 
 3640 
 
 746 
 
 '9 
 
 464O 
 
 4180 
 
 35 
 
 66O 
 
 5190 
 
 21 
 
 166O 
 
 4659 
 
 28 
 
 266O 
 
 1376 
 
 28 
 
 3660 
 
 785 
 
 20 
 
 466O 
 
 4250 
 
 35 
 
 68O 
 
 5230 
 
 20 
 
 168O 
 
 4603 
 
 28 
 
 2680 
 
 1321 
 
 27 
 
 3680 
 
 826 
 
 21 
 
 4680 
 
 43i8 
 
 34 
 
 7OO 
 
 5268 
 
 '9 
 
 17OO 
 
 4546 
 
 29 
 
 27OO 
 
 1267 
 
 27 
 
 37OO 
 
 869 
 
 22 
 
 47OO 
 
 4386 
 
 34- 
 
 72O 
 
 0-5305 
 
 + 18 
 
 1720 
 
 0-4488 
 
 -29 
 
 272O 
 
 0-1214 
 
 -26 
 
 372O 
 
 0*0914 
 
 + 23 
 
 4720 
 
 0*445* 
 
 + 33 
 
 740 
 
 '5339 
 
 i7 
 
 174O 
 
 4429 
 
 30 
 
 274O 
 
 1163 
 
 25 
 
 374O 
 
 0961 
 
 24 
 
 474O 
 
 45i7 
 
 32 
 
 760 
 
 537' 
 
 16 
 
 176O 
 
 4369 
 
 3 
 
 2760 
 
 1113 
 
 25 
 
 376O 
 
 IOIO 
 
 25 
 
 4760 
 
 4581 
 
 3i 
 
 78O 
 
 54i 
 
 14 
 
 1780 
 
 4308 
 
 3i 
 
 2780 
 
 1064 
 
 24 
 
 3780 
 
 I 06 1 
 
 26 
 
 4780 
 
 4642 
 
 30 
 
 800 
 
 5428 
 
 13 
 
 1800 
 
 4246 
 
 3' 
 
 28OO 
 
 1017 
 
 23 
 
 38OO 
 
 1114 
 
 27 
 
 4800 
 
 4702 
 
 30 
 
 820 
 
 o-5454 
 
 + 12 
 
 182O 
 
 0-4183 
 
 -32 
 
 282O 
 
 0-0971 
 
 -23 
 
 382O 
 
 0-1168 
 
 + 28 
 
 482O 
 
 0-4760 
 
 + 29 
 
 840 
 
 5477 
 
 II 
 
 1840 
 
 4119 
 
 32 
 
 284O 
 
 927 
 
 22 
 
 3840 
 
 1225 
 
 29 
 
 4840 
 
 4818 
 
 28 
 
 86O 
 
 5498 
 
 10 
 
 I860 
 
 4054 
 
 33 
 
 2860 
 
 884 
 
 21 
 
 3860 
 
 1283 
 
 3 
 
 486O 
 
 4873 
 
 27 
 
 880 
 
 'SS*7 
 
 9 
 
 1880 
 
 39 8 9 
 
 33 
 
 2880 
 
 843 
 
 20 
 
 3880 
 
 '343 
 
 3 
 
 488O 
 
 4926 
 
 26 
 
 90O 
 
 '5534 
 
 8 
 
 1900 
 
 39 2 3 
 
 33 
 
 2900 
 
 804 
 
 '9 
 
 39OO 
 
 1404 
 
 31 
 
 4900 
 
 '4977 
 
 25 
 
 92O 
 
 0-5548 
 
 + 7 
 
 192O 
 
 0-3856 
 
 -34 
 
 2920 
 
 0-0766 
 
 -19 
 
 3920 
 
 0-1467 
 
 + 32 
 
 492O 
 
 0-5027 
 
 + 24 
 
 940 
 
 5561 
 
 6 
 
 1940 
 
 3789 
 
 34 
 
 2940 
 
 73 
 
 18 
 
 394O 
 
 1531 
 
 33 
 
 494O 
 
 5074 
 
 23 
 
 960 
 
 557i 
 
 5 
 
 I960 
 
 3721 
 
 34 
 
 2960 
 
 696 
 
 17 
 
 396O 
 
 1597 
 
 33 
 
 4960 
 
 5120 
 
 22 
 
 98O 
 
 '5579 
 
 3 
 
 198O 
 
 3653 
 
 34 
 
 2980 
 
 664 
 
 16 
 
 3980 
 
 1664 
 
 34 
 
 498O 
 
 5163 
 
 22 
 
 1000 
 
 0-5584 
 
 + 3 
 
 2OOO 
 
 0-3584 
 
 -35 
 
 30OO 
 
 0-0633 
 
 -15 
 
 4OOO 
 
 0*1732 
 
 + 35 
 
 5OOO 
 
 0-5206 
 
 + 21 
 
 The Equation of this Table to be added to the entries of columns 2, 6, 7, 8, 9 of Table I. 
 
 216 
 
 Applied Constant: +o d '3ooo. 
 
IV 
 
 SATELLITE IV 
 
 Approximate Tables of Conjunction 
 
 Equation of Geocentric Conjunction Argument f. 
 
 Oc., Tr. 
 
 I 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 i 
 
 z 
 
 3 
 
 ft 
 
 Equation 
 
 A 
 
 Id 
 
 ft 
 
 Equation 
 
 A 
 Id 
 
 ft 
 
 Equation 
 
 A 
 
 !< 
 
 ft 
 
 Equation 
 
 A 
 Id 
 
 d 
 
 d 
 
 
 d 
 
 d 
 
 
 d 
 
 d 
 
 
 d 
 
 d 
 
 
 o 
 
 -o-iooo 
 
 - IOO 
 
 1OO 
 
 - 0-6059 
 
 + 15 
 
 200 
 
 - 0-0962 
 
 + 68 
 
 300 
 
 +0-4075 
 
 + '4 
 
 2 
 
 1200 
 
 IOO 
 
 1O2 
 
 6028 
 
 17 
 
 2O2 
 
 826 
 
 68 
 
 3O2 
 
 4100 
 
 II 
 
 4 
 
 1400 
 
 IOO 
 
 1O4 
 
 5992 
 
 '9 
 
 2O4 
 
 691 
 
 68 
 
 3O4 
 
 4120 
 
 9 
 
 6 
 
 1599 
 
 99 
 
 1O6 
 
 '595' 
 
 21 
 
 2O6 
 
 556 
 
 67 
 
 3O6 
 
 4135 
 
 7 
 
 8 
 
 1796 
 
 98 
 
 108 
 
 5907 
 
 23 
 
 2O8 
 
 422 
 
 67 
 
 308 
 
 4146 
 
 4 
 
 1O 
 
 1992 
 
 98 
 
 110 
 
 5859 
 
 25 
 
 21O 
 
 287 
 
 68 
 
 310 
 
 4151 
 
 + i 
 
 12 
 
 -0-2186 
 
 - 97 
 
 112 
 
 -0-5806 
 
 + 28 
 
 212 
 
 -0-0152 
 
 + 68 
 
 312 
 
 + 0-4151 
 
 i 
 
 14 
 
 2379 
 
 96 
 
 114 
 
 '5749 
 
 30 
 
 214 
 
 17 
 
 67 
 
 314 
 
 4146 
 
 4 
 
 16 
 
 2569 
 
 94 
 
 116 
 
 5688 
 
 32 
 
 216 
 
 + 116 
 
 67 
 
 316 
 
 4 '37 
 
 6 
 
 18 
 
 2756 
 
 93 
 
 118 
 
 5623 
 
 33 
 
 218 
 
 249 
 
 66 
 
 318 
 
 4121 
 
 9 
 
 2O 
 
 294.0 
 
 9 1 
 
 12O 
 
 5556 
 
 35 
 
 220 
 
 38i 
 
 66 
 
 320 
 
 4100 
 
 12 
 
 22 
 
 -0-3120 
 
 - 90 
 
 122 
 
 -0-5485 
 
 + 37 
 
 222 
 
 + 0-0512 
 
 + 65 
 
 322 
 
 + 0-4075 
 
 - H 
 
 24 
 
 3298 
 
 88 
 
 124 
 
 5411 
 
 38 
 
 224 
 
 642 
 
 65 
 
 324 
 
 4043 
 
 17 
 
 26 
 
 '347' 
 
 86 
 
 126 
 
 5332 
 
 4 
 
 226 
 
 772 
 
 65 
 
 326 
 
 4006 
 
 2O 
 
 28 
 
 3640 
 
 84 
 
 128 
 
 5250 
 
 42 
 
 228 
 
 901 
 
 64 
 
 328 
 
 '39 6 4 
 
 23 
 
 3O 
 
 3805 
 
 81 
 
 ISO 
 
 5165 
 
 43 
 
 230 
 
 1029 
 
 64 
 
 330 
 
 '39H 
 
 26 
 
 32 
 
 -0-3964 
 
 - 79 
 
 132 
 
 -0-5077 
 
 + 45 
 
 232 
 
 + 0-1156 
 
 + 63 
 
 332 
 
 + 0-3861 
 
 - 2 9 
 
 34 
 
 4119 
 
 76 
 
 134 
 
 4987 
 
 46 
 
 234 
 
 1281 
 
 62 
 
 334 
 
 3800 
 
 32 
 
 36 
 
 4269 
 
 74 
 
 136 
 
 4893 
 
 47 
 
 236 
 
 1405 
 
 62 
 
 336 
 
 '3734 
 
 35 
 
 38 
 
 44-13 
 
 7i 
 
 138 
 
 4798 
 
 49 
 
 238 
 
 1528 
 
 61 
 
 338 
 
 3661 
 
 38 
 
 40 
 
 '4553 
 
 68 
 
 140 
 
 4698 
 
 5 1 
 
 240 
 
 1649 
 
 60 
 
 340 
 
 3584 
 
 40 
 
 42 
 
 -0-4686 
 
 - 65 
 
 142 
 
 -0-4595 
 
 + 52 
 
 242 
 
 + 0-1768 
 
 + 59 
 
 342 
 
 + 0-3500 
 
 - 44 
 
 44 
 
 4814 
 
 63 
 
 144 
 
 4491 
 
 53 
 
 244 
 
 1885 
 
 58 
 
 344 
 
 3410 
 
 47 
 
 46 
 
 '4937 
 
 60 
 
 146 
 
 4384 
 
 54 
 
 246 
 
 2OOI 
 
 58 
 
 346 
 
 JS'J 
 
 5 
 
 48 
 
 $54 
 
 57 
 
 148 
 
 4276 
 
 55 
 
 248 
 
 2115 
 
 57 
 
 348 
 
 3211 
 
 53 
 
 SO 
 
 5165 
 
 54 
 
 150 
 
 4165 
 
 56 
 
 250 
 
 2227 
 
 56 
 
 350 
 
 3103 
 
 55 
 
 52 
 
 -0-5269 
 
 - Si 
 
 152 
 
 -0-4052 
 
 + 57 
 
 252 
 
 + 0-2338 
 
 + 55 
 
 352 
 
 + 0-2990 
 
 ' I 8 
 
 54 
 
 5368 
 
 48 
 
 154 
 
 '3937 
 
 58 
 
 254 
 
 2445 
 
 53 
 
 354 
 
 2870 
 
 62 
 
 56 
 
 5460 
 
 45 
 
 156 
 
 3820 
 
 59 
 
 256 
 
 2550 
 
 52 
 
 356 
 
 2744 
 
 65 
 
 58 
 
 '554 s 
 
 42 
 
 158 
 
 3702 
 
 60 
 
 258 
 
 2654 
 
 5i 
 
 358 
 
 2612 
 
 67 
 
 60 
 
 5628 
 
 39 
 
 16O 
 
 358i 
 
 61 
 
 26O 
 
 2754 
 
 5 
 
 36O 
 
 2476 
 
 70 
 
 62 
 
 -0-5702 
 
 - 36 
 
 162 
 
 -0-3459 
 
 + 62 
 
 262 
 
 + 0-2852 
 
 + 48 
 
 362 
 
 + 0-2334 
 
 - 72 
 
 64 
 
 5772 
 
 33 
 
 164 
 
 '3335 
 
 62 
 
 264 
 
 2946 
 
 47 
 
 364 
 
 2187 
 
 75 
 
 66 
 
 5834 
 
 3 
 
 166 
 
 3211 
 
 62 
 
 266 
 
 3038 
 
 46 
 
 366 
 
 2033 
 
 78 
 
 68 
 
 5891 
 
 27 
 
 168 
 
 3086 
 
 63 
 
 268 
 
 3128 
 
 44 
 
 368 
 
 1876 
 
 80 
 
 7O 
 
 5942 
 
 24 
 
 170 
 
 2958 
 
 64 
 
 270 
 
 3213 
 
 42 
 
 370 
 
 1713 
 
 83 
 
 72 
 
 -0-5988 
 
 22 
 
 172 
 
 -0-2829 
 
 + 65 
 
 272 
 
 + 0-3297 
 
 + 41 
 
 372 
 
 + 0-1546 
 
 - 85 
 
 n_ 
 
 74 
 
 6028 
 
 18 
 
 174 
 
 2700 
 
 65 
 
 274 
 
 '3377 
 
 39 
 
 374 
 
 1375 
 
 87 
 
 76 
 
 6061 
 
 16 
 
 176 
 
 2570 
 
 65 
 
 276 
 
 '3453 
 
 37 
 
 376 
 
 i 200 
 
 88 
 
 78 
 80 
 
 6090 
 6112 
 
 13 
 
 10 
 
 178 
 180 
 
 2439 
 
 2307 
 
 66 
 66 
 
 278 
 
 280 
 
 3526 
 
 3595 
 
 36 
 
 34 
 
 378 
 380 
 
 IO22 
 0838 
 
 9 1 
 93 
 
 82 
 
 -0-6130 
 
 - 8 
 
 182 
 
 -0-2174 
 
 + 67 
 
 282 
 
 + 0-3660 
 
 + 32 
 
 382 
 
 + 0-0652 
 
 2 
 
 - 94 
 
 84 
 
 6142 
 
 5 
 
 184 
 
 2041 
 
 67 
 
 284 
 
 3723 
 
 3i 
 
 384 
 
 463 
 
 95 
 
 86 
 88 
 9O 
 
 6149 
 6152 
 6148 
 
 3 
 o 
 
 + 3 
 
 186 
 188 
 19O 
 
 1908 
 
 '774 
 1639 
 
 67 
 67 
 68 
 
 286 
 288 
 290 
 
 3782 
 
 3835 
 3886 
 
 28 
 26 
 
 24 
 
 386 
 388 
 390 
 
 272 
 + 77 
 - H7 
 
 97 
 98 
 98 
 
 92 
 
 -0-6140 
 
 + 5 
 
 192 
 
 -0-1504 
 
 + 68 
 
 292 
 
 + 0-3932 
 
 + 22 
 
 392 
 
 -0-0314 
 
 - 99 
 
 94 
 
 6127 
 
 8 
 
 194 
 
 1368 
 
 68 
 
 294 
 
 '3975 
 
 2O 
 
 394 
 
 512 
 
 99 
 
 96 
 
 61 10 
 
 10 
 
 196 
 
 1233 
 
 68 
 
 296 
 
 4012 
 
 18 
 
 396 
 
 711 
 
 IOO 
 
 98 
 
 6086 
 
 13 
 
 198 
 
 1098 
 
 68 
 
 298 
 
 4046 
 
 16 
 
 398 
 
 912 
 
 IOO 
 
 1OO 
 
 -0-6059 
 
 + 15 
 
 200 
 
 -0-0962 
 
 + 68 
 
 300 
 
 + 0-4075 
 
 + 14 
 
 400 
 
 o'i 1 13 
 
 IOO 
 
 Applied Constant : - o" .000. The Equation of this Table corrected by those of Tables V, VI, gives the Annual Parallax, p, which must be applied lor uccuuanons 
 and Transits to the entries of the Columns ,, 3, 9 of Table I, and which also serves as argument of Table LXI for computing the effect of Jupiter , 
 
 25 
 
 217 
 
SATELLITE IV 
 
 Approximate Tables of Conjunction 
 
 Equation of Geocentric Conjunction Arguments a, 
 
 Oc., Tr. 
 
 \ 
 
 a \ 
 
 O d 10 d 2O d 
 
 30 40 50 
 
 6O d 7O d 80 d 
 
 90 d 1OO d 11O d 
 
 120 130 140 
 
 150 160 170 
 
 18O 190 200 
 
 d 
 
 
 
 
 
 
 
 
 
 
 700 643 587 
 
 538 496 463 
 
 439 426424 
 
 431 445 465 
 
 491 518 547 
 
 576 605 630 
 
 655 679 701 
 
 100 
 2OO 
 300 
 400 
 5OO 
 
 784 726 666 
 867 810 748 
 947 890 827 
 1021 968 904 
 1089 1039 976 
 
 611 559 516 
 
 686 627 572 
 760 695 631 
 835 763 692 
 906 830 753 
 
 479 453437 
 525 486457 
 573 522481 
 624 563510 
 677 606543 
 
 432 433 443 
 438 428 426 
 450 428 416 
 467 434 411 
 489 446 412 
 
 460 479 503 
 
 434 446 4 6z 
 413 417 427 
 
 398 394 397 
 391 378 373 
 
 527 552 576 
 
 481 53 5 2 3 
 44 457 474 
 404 417 430 
 
 375 382 392 
 
 599 621 644 
 544 566 577 
 
 493 5 12 533 
 446 463 482 
 404 420 436 
 
 60O 
 TOO 
 80O 
 900 
 
 1000 
 
 1 148 1103 1043 
 1 198 1 159 1 103 
 1237 1205 1 154 
 1266 1241 1196 
 1282 1264 1225 
 
 973 895 8'3 
 1034 955 871 
 1088 1010 924 
 11341058 974 
 1 170 1099 1017 
 
 730 652 579 
 783 698618 
 
 834 744659 
 
 882 789700 
 
 926 833741 
 
 516 462 420 
 546 485 433 
 580 511 452 
 616 541 476 
 654 574 54 
 
 389 368 357 
 394 365 347 
 45 37 345 
 423 382 351 
 446 399 364 
 
 353 354 3 6 
 337 333 33<5 
 33 321 3'9 
 330 316 310 
 
 338 3'9 39 
 
 370 381 395 
 
 34' 35 361 
 320 326 333 
 308 310 314 
 303 301 303 
 
 1100 
 1200 
 13OO 
 1400 
 150O 
 
 1286 1277 1246 
 1278 1277 1255 
 1257 1265 1252 
 1225 1241 1237 
 
 1183 1206 1212 
 
 1197 1132 1053 
 1213 1155 1083 
 1219 1 169 1103 
 1214 1173 1 116 
 
 1198 Il67 I 121 
 
 965 874781 
 999 911 821 
 1027 943857 
 1048 971 889 
 1061 993 919 
 
 693 611 537 
 732 649 573 
 770 688 613 
 807 728 653 
 842 767 695 
 
 475 424 384 
 509 454 410 
 546 490 443 
 587 529 481 
 630 573 523 
 
 353 33 317 
 376 349 332 
 
 45 375 355 
 441 408 385 
 482 448 424 
 
 307 302 300 
 319 311 305 
 339 327 319 
 
 367 352 34' 
 401 384 370 
 
 16OO 
 1700 
 18OO 
 19OO 
 2OOO 
 
 1 130 1161 1175 
 
 1067 I1O4 1128 
 
 997 1041 1073 
 921 969 1009 
 840 893 939 
 
 1172 1151 1 1 16 
 
 1135 1126 I 102 
 
 1090 1092 1081 
 1036 1049 1050 
 975 1000 1013 
 
 1067 1009 943 
 1065 1018 962 
 1056 1021 976 
 1038 1016 985 
 1015 1006 986 
 
 874 804 737 
 902 840 778 
 926 872 818 
 945 901 854 
 958 925 888 
 
 674 618 569 
 720 666 619 
 764 715 670 
 808 763 721 
 848 810 772 
 
 528 492 465 
 
 578 54' 5'3 
 630 593 565 
 683 648 620 
 736 703 676 
 
 442 422 406 
 489 467 449 
 539 517 496 
 594 570 548 
 650 625 603 
 
 21 OO 
 2200 
 23OO 
 240O 
 25OO 
 
 756 812 864 
 671 729 786 
 587 645 705 
 505 563 626 
 427 483 546 
 
 908 944 969 
 838 883 919 
 763 818 865 
 689 751 808 
 614 682 748 
 
 984 988 982 
 948 965972 
 905 936957 
 860 902 936 
 810 864910 
 
 967 945 917 
 969 960 943 
 967 969 963 
 959 973 977 
 944 97 9 86 
 
 887 854 821 
 921 896 868 
 949 933 912 
 
 974 9 6 5 95 
 992 991 984 
 
 79 759 733 
 841 813 789 
 889 865 843 
 933 9*3 894 
 972 957 941 
 
 707 683 660 
 765 741 718 
 820 798 776 
 873 853 832 
 923 905 885 
 
 26OO 
 2700 
 28OO 
 290O 
 3OOO 
 
 355 4 8 472 
 291 339 401 
 234 278 336 
 187 225 278 
 152 182 231 
 
 541 613 687 
 472 548 627 
 406 484 567 
 346 425 511 
 
 *9 6 373 459 
 
 758 823 880 
 706 779 846 
 652 733 808 
 600 686 768 
 550 640727 
 
 926 963 989 
 902 949 986 
 874 931 976 
 842 907 960 
 807 880 940 
 
 IOO4 IOI2 I 01 2 
 
 1010 1026 1033 
 1010 1033 1047 
 
 IOO2 1034 IO54 
 989 1027 1053 
 
 1006 996 983 
 1033 1028 1019 
 1053 1054 1049 
 1066 1072 1071 
 1071 1082 1085 
 
 968 952 935 
 1007 994 978 
 1041 1030 1017 
 1067 1059 1050 
 1084 1081 1074 
 
 31 OO 
 3200 
 3300 
 
 3400 
 3500 
 
 127 150 194 
 116 130 1 66 
 115 114 150 
 128 126 14; 
 152 141 151 
 
 253 327 411 
 220 290 371 
 197 260 336 
 183 239 309 
 181 229 291 
 
 503 595 686 
 460 553645 
 423 513605 
 391 478567 
 365 446532 
 
 771 848 915 
 733 814 885 
 694 776 851 
 655 738 814 
 617 701 774 
 
 97O IOI3 1046 
 
 944 993 i3 
 914 974 1008 
 
 879 937 979 
 841 898 945 
 
 1069 1084 1091 
 1058 1078 1089 
 1040 1064 1079 
 1015 1043 1 06 1 
 983 1015 1036 
 
 1095 1094 1090 
 1096 1099 1099 
 1089 1096 1099 
 1075 1084 1091 
 1053 1065 1075 
 
 3600 
 3700 
 3800 
 3900 
 
 4000 
 
 1 88 169 169 
 23; 208 200 
 291 257 240 
 357 316 290 
 429 383 349 
 
 191 228 281 
 
 2IO 238 28O 
 240 256 288 
 280 285 304 
 
 328 3*2 329 
 
 347 421 500 
 336 401472 
 332 38745 
 337 381 43* 
 349 380420 
 
 581 659 733 
 547 621 691 
 516 584 649 
 490 549 609 
 467 518 570 
 
 799 857 9 6 
 755 813 862 
 711 766 814 
 665 717 764 
 621 669 713 
 
 946 979 1003 
 903 938 963 
 856 892 919 
 805 841 869 
 752 788 816 
 
 IO22 1O37 1050 
 
 986 1003 1019 
 943 963 980 
 894 916 935 
 842 866 887 
 
 4100 
 42OO 
 43OO 
 44OO 
 45OO 
 
 506 456 414 
 588 534 485 
 673 616 562 
 757 700 641 
 841 783 721 
 
 384 366 362 
 
 447 418 401 
 515 476 447 
 587 539 498 
 661 605 553 
 
 368 386414 
 
 395 399 4'4 
 428 419420 
 
 466 444432 
 509 474450 
 
 45 49 1 534 
 438 467 5' 
 432 45 473 
 43' 437 45 
 435 429 432 
 
 579 621 662 
 
 538 575 6l1 
 501 531 562 
 469 492 517 
 441 456 475 
 
 700 734 761 
 646 678 705 
 593 623 648 
 
 542 5 6 9 593 
 496 518 539 
 
 788 812 834 
 
 73i 755 778 
 673 697 720 
 617 639 663 
 566 583 606 
 
 Applied Constant : + 700. 
 
 The unit in this Table equals cAo 
 
 218 
 
V continued 
 
 SATELLITE IV 
 
 Approximate Tables of Conjunction 
 
 Equation of Geocentric Conjunction Arguments a, /3 
 
 Oc., Tr. 
 
 \B 
 
 a \ 
 
 2OO d 21O d 22O d 
 
 230 ! 240 250 
 
 260 270 280 
 
 290 300 31 
 
 320 330 3*0 
 
 350 360 370 
 
 380 390 400 
 
 d 
 
 
 
 
 
 
 
 
 
 
 701 724 747 
 
 773 799 827 
 
 856 885 913 
 
 938 957 971 
 
 976 973 958 
 
 934 9 8 57 
 
 806 751 694 
 
 1OO 
 20O 
 3OO 
 4OO 
 50O 
 
 644 666 690 
 587 609 633 
 
 533 554 578 
 482 502 524 
 
 43<5 454 474 
 
 716 745 776 
 660 689 723 
 604 634 669 
 551 580 616 
 500 530 565 
 
 809 844 878 
 
 760 799 840 
 709 752 799 
 658 704 756 
 608 656 711 
 
 912 942 968 
 882 922 959 
 848 897 944 
 811 868 925 
 772 835 901 
 
 986 996 995 
 
 989 IOI2 1025 
 987 IO22 1048 
 978 1025 1064 
 963 IO22 IO73 
 
 983 961 928 
 1026 1015 993 
 1063 1064 1053 
 1091 1105 1105 
 
 I I 12 1138 1149 
 
 884 834 778 
 958 914 862 
 IO27 989 941 
 1089 1059 I0l6 
 1143 II2I 1084 
 
 600 
 700 
 8OO 
 900 
 1OOO 
 
 395 4" 430 
 361 374 391 
 
 333 345 358 
 3H 322 333 
 303 307 315 
 
 453 481 5' 6 
 412 438 472 
 377 401 432 
 
 349 370 39 8 
 328 346 371 
 
 559 609 666 
 514 564 622 
 472 522 580 
 436 483 540 
 405 449 504 
 
 730 800 872 
 689 762 840 
 648 724 805 
 607 684 767 
 569 645 729 
 
 943 ion 1073 
 918 995 1065 
 888 971 1050 
 855 943 1028 
 818 908 999 
 
 1124 1161 1184 
 1127 1175 1208 
 
 II2I 1178 1221 
 
 1106 1172 1224 
 1082 1156 1215 
 
 1188 1176 1145 
 
 1222 1217 1195 
 1245 1250 1235 
 1259 1271 1264 
 1258 1279 I28l 
 
 11 OO 
 12OO 
 1300 
 14OO 
 1500 
 
 300 301 305 
 305 303 304 
 
 3'9 3'4 3" 
 341 332 326 
 
 370 358 349 
 
 314 329 350 
 310 320 336 
 312 318 331 
 324 325 333 
 343 34 342 
 
 380 420 472 
 363 398 444 
 352 381 422 
 348 371 406 
 35' 369 395 
 
 534 608 690 
 502 572 651 
 
 474 539 6lz 
 
 45 i 59 577 
 433 483 543 
 
 779 871 964 
 737 829 923 
 695 784 877 
 654 738 828 
 613 691 775 
 
 1051 1130 1196 
 
 IOI2 1096 1167 
 967 IO52 1127 
 916 IOO2 IO79 
 
 861 945 1023 
 
 1246 1276 1286 
 1223 I26l 1279 
 1189 1233 1259 
 1144 1195 1228 
 IO9I 1145 Il86 
 
 160O 
 170O 
 18OO 
 19OO 
 20OO 
 
 406 392 379 
 449 432 417 
 496 478 460 
 548 528 508 
 603 581 560 
 
 369 362 359 
 403 392 384 
 
 443 428 4M 
 488 470 452 
 
 S3 8 5'5 494 
 
 362 372 391 
 381 384 395 
 405 401 404 
 437 425 419 
 473 455 44 
 
 420 462 513 
 414 446 486 
 413 434 465 
 419 429 447 
 431 43 43 6 
 
 574 644 722 
 538 598 667 
 505 554 613 
 476 514 562 
 452 478 514 
 
 802 883 960 
 740 816 890 
 679 748 818 
 617 679 743 
 558 610 667 
 
 IO3O 1089 1134 
 960 1022 1O7I 
 
 886 948 1002 
 808 870 926 
 728 789 846 
 
 21 OO 
 22OO 
 23OO 
 24OO 
 250O 
 
 660 638 615 
 718 695 672 
 776 753 729 
 832 809 786 
 885 864 841 
 
 591 566 540 
 646 619 590 
 703 674 642 
 
 759 729 6 9 6 
 814 784 749 
 
 514 489 467 
 
 559 528 49 s 
 607 572 535 
 657 617 573 
 709 664 616 
 
 448 436 430 
 47' 447 43 
 498 465 435 
 529 486 446 
 564 512 462 
 
 433 446 469 
 420 419 429 
 412 398 395 
 411 384 367 
 416 376 346 
 
 502 543 592 
 
 449 479 5 '9 
 402 420 450 
 361 367 386 
 327 321 329 
 
 647 705 762 
 567 621 677 
 
 49 539 593 
 418 460 511 
 
 35' 387 433 
 
 26OO 
 27OO 
 28OO 
 29OO 
 300O 
 
 935 9'5 8 93 
 978 961 943 
 
 IOI7 IOO2 984 
 1050 IO37 IO22 
 1074 1064 IO5I 
 
 867 837 801 
 916 887 852 
 961 933 899 
 1000 975 942 
 1033 1010 980 
 
 759 712 659 
 808 760 704 
 856 807 749 
 901 851 792 
 940 892 834 
 
 602 543 483 
 642 576 509 
 683 613 538 
 725 651 572 
 767 690 608 
 
 426 375 332 
 443 382 327 
 465 394 329 
 492 4 ! 3 339 
 523 438 357 
 
 300 283 279 
 284 253 239 
 274 233 206 
 274 223 186 
 284 223 178 
 
 292 319 360 
 241 261 295 
 
 2OO 210 238 
 
 168 168 190 
 150 142 154 
 
 31 OO 
 3200 
 33OO 
 340O 
 35OO 
 
 1090 loSj IO75 
 1099 1095 1089 
 1099 1099 1096 
 1091 1094 109; 
 
 1075 1081 1085 
 
 1060 1039 1012 
 1078 1061 1037 
 1088 1075 1055 
 1090 1082 1066 
 1084 1080 1070 
 
 975 9 z8 873 
 1004 961 908 
 1027 988 938 
 1042 1009 964 
 1051 1023 984 
 
 806 729 646 
 843 767 684 
 877 804 723 
 908 840 762 
 935 872 800 
 
 557 468 381 
 595 504 412 
 
 635 543 45 
 676 586 492 
 719 631 539 
 
 301 232 178 
 327 253 190 
 361 281 213 
 402 318 246 
 450 364 288 
 
 142 125 128 
 146 121 116 
 161 128 115 
 187 148 126 
 225 178 150 
 
 36OO 
 37OO 
 380O 
 39OO 
 4OOO 
 
 IO5O IO6O 1067 
 1019 IO3I 1042 
 
 980 995 1009 
 
 935 953 97 
 887 906 924 
 
 1071 1071 1065 
 1049 1053 1053 
 
 1020 1029 1033 
 
 983 997 1006 
 942 959 973 
 
 1052 1030 995 
 1046 1031 1006 
 1033 1025 1006 
 1012 10 i i 1003 
 985 992 992 
 
 956 901 835 
 972 925 867 
 982 944 897 
 987 958 921 
 985 968 942 
 
 760 678 590 
 801 725 642 
 838 772 696 
 874 817 751 
 905 860 804 
 
 502 417 34 
 559 476 398 
 619 539 463 
 680 606 534 
 742 675 607 
 
 272 220 185 
 328 272 231 
 
 393 333 287 
 465 403 351 
 540 478 423 
 
 41 OO 
 42OO 
 430O 
 44OO 
 45OO 
 
 834 855 875 
 778 800 822 
 720 743 766 
 663 685 708 
 606 628 652 
 
 896 915 935 
 845 868 891 
 791 816 843 
 734 762 793 
 678 708 740 
 
 952 966 975 
 914 934 952 
 871 898 923 
 824 857 890 
 776 813 853 
 
 977 972 957 
 964 969 967 
 
 945 9 Sl 97 
 921 948 969 
 892 929 962 
 
 933 8 99 8 54 
 955 934 902 
 
 972 964 945 
 983 989 983 
 989 1007 1015 
 
 803 745 682 
 862 813 759 
 917 879 833 
 968 942 905 
 1013 998 972 
 
 619 557 500 
 700 639 582 
 780 723 666 
 860 807 751 
 934 888 834 
 
 Applied Constant : +700. 
 
 The unit equals o^' 
 
 119 
 
VI 
 
 SATELLITE IV 
 
 Approximate Tables of Conjunction 
 
 Equation of Geocentric Conjunction Arguments 0, 
 
 Oc., Tr. 
 
 \ ft 
 
 7 \ 
 
 O" 2O d 40" 
 
 60 80 1OO* 
 
 120 140 160 
 
 1 80 200 220 
 
 240 260 280 
 
 300 320 340 
 
 360 380 400" 
 
 d 
 
 
 
 
 
 
 
 
 o 
 
 300 339 370 
 
 389 395 388 
 
 373 353 334 
 
 316 300 282 
 
 265 246 227 
 
 211 2O5 212 
 
 232 264 302 
 
 10 
 20 
 
 3O 
 
 40 
 5O 
 
 264 305 342 
 229 271 314 
 196 238 286 
 167 207 257 
 141 179 230 
 
 372 389 395 
 
 353 38o 394 
 332 369 393 
 310 356 389 
 288 341 382 
 
 385 372 357 
 396 389 377 
 404 403 395 
 408 414 411 
 410 421 423 
 
 340 325 307 
 363 348 331 
 384 370 354 
 402 391 376 
 418 408 396 
 
 288 267 241 
 312 287 257 
 
 335 3 8 *75 
 357 330 293 
 378 350 312 
 
 2l8 2O1 197 
 227 2OO 184 
 238 202 175 
 250 2O7 I7O 
 264 215 169 
 
 205 231 266 
 183 2OO 231 
 164 172 198 
 
 148 148 168 
 138 128 142 
 
 
 
 
 
 
 
 
 
 6O 
 7O 
 SO 
 90 
 100 
 
 121 153 2O5 
 
 106 132 183 
 95 117 163 
 92 106 149 
 
 93 102 138 
 
 266 325 374 
 245 309 363 
 226 292 350 
 209 276 336 
 194 259 320 
 
 407 425 432 
 402 425 437 
 394 422 437 
 383 416 434 
 370 405 426 
 
 430 423 413 
 439 434 4*6 
 443 441 435 
 443 444 441 
 439 443 443 
 
 396 369 330 
 411 386 347 
 423 400 363 
 431 412 377 
 436 420 389 
 
 28O 225 172 
 296 237 178 
 
 313 251 188 
 328 266 201 
 
 343 284 218 
 
 131 114 121 
 
 130 105 106 
 134 101 95 
 142 103 92 
 156 112 93 
 
 110 
 12O 
 130 
 140 
 ISO 
 
 102 103 133 
 116 in 132 
 136 123 136 
 160 141 146 
 188 164 160 
 
 183 244 304 
 
 176 231 287 
 172 219 272 
 
 I 7 I 211 257 
 
 174 20 4 243 
 
 355 392 416 
 337 375 4i 
 3'9 357 384 
 300 337 364 
 281 316 342 
 
 43 437 44 
 418 427 433 
 402 414 422 
 384 397 407 
 363 377 390 
 
 437 4*5 39 8 
 433 4*5 45 
 426 423 408 
 415 416 407 
 400 406 404 
 
 357 3oi 237 
 369 318 257 
 378 334 279 
 386 350 301 
 391 364 324 
 
 174 125 101 
 195 145 115 
 220 168 135 
 
 2 47 '95 159 
 275 225 187 
 
 160 
 170 
 18O 
 19O 
 2OO 
 
 220 191 177 
 255 220 198 
 291 253 223 
 326 286 250 
 361 320 279 
 
 l82 201 231 
 192 201 222 
 2O7 203 214 
 221 2O8 209 
 242 217 2O6 
 
 264 294 319 
 247 273 295 
 231 252 272 
 218 233 249 
 207 215 228 
 
 340 355 369 
 316 332 347 
 291 307 324 
 267 283 300 
 
 243 258 275 
 
 382 393 398 
 363 378 389 
 341 360 377 
 3i8 341 363 
 *94 3 '9 347 
 
 394 377 345 
 393 386 366 
 390 394 384 
 384 398 400 
 376 400 413 
 
 304 259 219 
 
 33* *93 *53 
 361 327 289 
 387 360 325 
 411 392 360 
 
 21 
 22O 
 230 
 
 240 
 25O 
 
 394 353 307 
 426 386 336 
 
 45* 415 363 
 474 441 389 
 491 462 412 
 
 262 228 2O7 
 284 240 2IO 
 
 306 254 216 
 
 328 270 224 
 
 349 * 8 7 *35 
 
 199 200 209 
 '93 '89 194 
 191 181 181 
 
 192 176 170 
 197 174 164 
 
 220 235 252 
 2O2 214 229 
 
 186 195 209 
 173 180 191 
 163 168 177 
 
 271 298 330 
 248 276 312 
 227 256 294 
 208 236 274 
 192 219 256 
 
 365 399 423 
 353 395 4*9 
 339 388 43' 
 
 3*4 379 4*9 
 308 367 424 
 
 431 420 392 
 448 446 424 
 460 467 450 
 467 483 473 
 469 494 490 
 
 260 
 27O 
 28O 
 29O 
 300 
 
 53 479 43* 
 510 491 447 
 508 498 459 
 501 498 465 
 488 492 468 
 
 369 304 247 
 386 321 251 
 402 338 276 
 
 4H 353 2 9 2 
 422 366 308 
 
 204 177 163 
 215 183 165 
 227 192 171 
 
 242 202 l8l 
 258 220 195 
 
 158 160 167 
 157 158 161 
 160 157 158 
 167 162 160 
 
 179 170 165 
 
 1 80 203 240 
 170 191 226 
 164 182 214 
 162 176 205 
 165 174 197 
 
 *9 2 353 4'5 
 276 338 402 
 260 321 387 
 246 304 369 
 234 287 349 
 
 468 499 503 
 
 460 498 510 
 448 491 508 
 
 43i 479 5 01 
 411 461 489 
 
 310 
 32O 
 33O 
 340 
 35O 
 
 470 480 465 
 447 464 457 
 420 442 445 
 388 417 428 
 354 3 8 8 47 
 
 428 378 324 
 429 387 339 
 
 4*7 394 353 
 420 398 366 
 410 399 376 
 
 276 238 212 
 294 258 231 
 313 279 253 
 331 300 275 
 
 349 3*i *99 
 
 193 183 175 
 
 211 198 189 
 231 217 2O6 
 254 239 225 
 
 277 262 247 
 
 171 176 193 
 182 182 193 
 196 191 195 
 213 203 200 
 232 218 208 
 
 224 271 327 
 215 254 305 
 
 2IO 240 283 
 2O7 227 26l 
 207 217 240 
 
 387 438 471 
 360 412 448 
 
 333 383 4** 
 304 350 390 
 
 *75 3 l6 356 
 
 360 
 37O 
 380 
 39O 
 
 400 
 
 3'9 356 383 
 283 322 357 
 247 288 329 
 214 255 301 
 182 223 272 
 
 397 397 384 
 381 392 390 
 
 363 385 393 
 344 375 393 
 322 364 391 
 
 365 343 322 
 
 379 36* 345 
 391 380 366 
 400 396 385 
 406 408 403 
 
 303 287 270 
 
 3*7 3>i *94 
 351 336 319 
 
 373 359 34* 
 393 380 365 
 
 253 235 220 
 
 275 *54 *33 
 299 276 249 
 323 297 266 
 346 319 284 
 
 209 2O8 221 
 214 203 204 
 221 2OO 190 
 232 200 1 80 
 244 203 173 
 
 246 282 321 
 
 220 248 285 
 
 195 216 249 
 174 187 216 
 156 160 184 
 
 Applied Constant : + 300. 
 
 The unit equals o d 'oooi. 
 
SATELLITE IV 
 
 Approximate Tables of Conjunction 
 
 Equations of Conjunction 
 VII 
 
 VIII 
 
 I 
 
 2 
 
 3 
 
 I 
 
 2 
 
 3 
 
 s 
 
 Equation 
 
 A 
 
 a 
 
 Equation 
 
 A 
 
 d 
 
 00 
 
 d 
 0-O4OO 
 
 - 15 
 
 d 
 
 10 O 
 
 d 
 
 0-0628 
 
 + 12 
 
 2 
 
 371 
 
 '5 
 
 2 
 
 65, 
 
 II 
 
 4 
 
 34 1 
 
 15 
 
 4 
 
 673 
 
 I I 
 
 6 
 
 312 
 
 '4 
 
 6 
 
 694 
 
 IO 
 
 8 
 
 284 
 
 4 
 
 8 
 
 712 
 
 9 
 
 1 O 
 
 256 
 
 4 
 
 110 
 
 729 
 
 8 
 
 1-2 
 
 0-0229 
 
 - 13 
 
 11-2 
 
 0-0744 
 
 + 7 
 
 4 
 
 203 
 
 13 
 
 4 
 
 757 
 
 6 
 
 6 
 
 178 
 
 12 
 
 6 
 
 768 
 
 5 
 
 8 
 
 155 
 
 II 
 
 8 
 
 777 
 
 4 
 
 20 
 
 133 
 
 I I 
 
 120 
 
 784 
 
 3 
 
 2-2 
 
 O-OI 12 
 
 - IO 
 
 12-2 
 
 0-0788 
 
 + 2 
 
 4 
 
 93 
 
 9 
 
 4 
 
 791 
 
 + i 
 
 6 
 
 76 
 
 8 
 
 6 
 
 791 
 
 - i 
 
 8 
 
 60 
 
 7 
 
 8 
 
 789 
 
 2 
 
 SO 
 
 47 
 
 6 
 
 130 
 
 785 
 
 3 
 
 32 
 
 0-0035 
 
 - 5 
 
 132 
 
 0-0778 
 
 - 4 
 
 4 
 
 25 
 
 4 
 
 4 
 
 769 
 
 5 
 
 6 
 
 ll 
 
 3 
 
 6 
 
 759 
 
 6 
 
 8 
 
 '3 
 
 2 
 
 8 
 
 746 
 
 7 
 
 40 
 
 IO 
 
 - I 
 
 140 
 
 73i 
 
 8 
 
 42 
 
 0-0009 
 
 O 
 
 142 
 
 0-0715 
 
 - 9 
 
 4 
 
 ii 
 
 + I 
 
 4 
 
 697 
 
 IO 
 
 6 
 
 M 
 
 2 
 
 6 
 
 677 
 
 ii 
 
 8 
 
 20 
 
 3 
 
 8 
 
 655 
 
 ii 
 
 50 
 
 28 
 
 4 
 
 150 
 
 632 
 
 12 
 
 52 
 
 0-0038 
 
 + 5 
 
 152 
 
 0-0608 
 
 - 12 
 
 4 
 
 5 
 
 7 
 
 4 
 
 583 
 
 '3 
 
 6 
 
 64 
 
 8 
 
 6 
 
 556 
 
 '4 
 
 8 
 
 80 
 
 9 
 
 8 
 
 529 
 
 H 
 
 60 
 
 98 
 
 9 
 
 160 
 
 501 
 
 H 
 
 62 
 
 0-0117 
 
 + 10 
 
 162 
 
 0-0472 
 
 - '5 
 
 4 
 
 138 
 
 ii 
 
 4 
 
 443 
 
 '5 
 
 6 
 
 161 
 
 12 
 
 6 
 
 4'3 
 
 IS 
 
 8 
 
 185 
 
 12 
 
 8 
 
 384 
 
 15 
 
 70 
 
 2IO 
 
 '3 
 
 17 O 
 
 355 
 
 15 
 
 72 
 
 0-0237 
 
 + 14 
 
 172 
 
 0-0325 
 
 - 15 
 
 4 
 
 264 
 
 '4 
 
 4 
 
 297 
 
 '4 
 
 6 
 
 2 9 2 
 
 H 
 
 6 
 
 269 
 
 H 
 
 8 
 
 320 
 
 H 
 
 8 
 
 241 
 
 4 
 
 80 
 
 349 
 
 15 
 
 180 
 
 215 
 
 3 
 
 82 
 
 0-0378 
 
 + 15 
 
 182 
 
 0*0190 
 
 - 12 
 
 4 
 
 408 
 
 15 
 
 4 
 
 166 
 
 12 
 
 6 
 
 438 
 
 15 
 
 6 
 
 143 
 
 I I 
 
 8 
 
 467 
 
 4 
 
 8 
 
 121 
 
 II 
 
 90 
 
 495 
 
 14 
 
 190 
 
 101 
 
 10 
 
 92 
 
 0-0523 
 
 + H 
 
 19-2 
 
 O-OO83 
 
 - 9 
 
 4 
 
 55' 
 
 H 
 
 4 
 
 6 7 
 
 8 
 
 6 
 
 578 
 
 13 
 
 6 
 
 53 
 
 7 
 
 8 
 
 604 
 
 "3 
 
 8 
 
 40 
 
 6 
 
 100 
 
 0-0628 
 
 + 12 
 
 200 
 
 0-0029 
 
 - 5 
 
 i 
 
 2 
 
 e 
 
 Equation 
 
 d 
 
 o-o 
 
 d 
 O'OIOO 
 
 0-4 
 
 104 
 
 Q-8 
 
 tea 
 
 1-2 
 
 in 
 
 16 
 
 113 
 
 20 
 
 114 
 
 2-4 
 
 0-0113 
 
 2-8 
 
 112 
 
 32 
 
 IO9 
 
 36 
 
 1 06 
 
 4-0 
 
 I O2 
 
 44 
 
 O'OOgS 
 
 4'8 
 
 94 
 
 5-2 
 
 90 
 
 5-6 
 
 88 
 
 60 
 
 86 
 
 64 
 
 0-0086 
 
 68 
 
 88 
 
 72 
 
 90 
 
 7-6 
 
 93 
 
 80 
 
 97 
 
 8-4 
 
 O'OIOI 
 
 8-8 
 
 105 
 
 92 
 
 108 
 
 96 
 
 III 
 
 100 
 
 113 
 
 104 
 
 o-oi 14 
 
 10-8 
 
 113 
 
 112 
 
 112 
 
 116 
 
 109 
 
 120 
 
 105 
 
 12-4 
 
 O'OIOI 
 
 12-8 
 
 97 
 
 132 
 
 93 
 
 136 
 
 90 
 
 140 
 
 88 
 
 14-4 
 
 o'oo86 
 
 14-8 
 
 86 
 
 15-2 
 
 88 
 
 156 
 
 90 
 
 160 
 
 94 
 
 164 
 
 0-0098 
 
 16-8 
 
 1 02 
 
 172 
 
 105 
 
 176 
 
 108 
 
 180 
 
 i n 
 
 18'4 
 
 0-0113 
 
 18-8 
 
 114 
 
 192 
 
 113 
 
 196 
 
 112 
 
 200 
 
 O'OIOS 
 
 Applied Constant : +o d 'o40o. 
 
 Applied Constant : -f o d 'oioo. 
 
SATELLITE IV 
 
 Tables 
 
 of the 
 
 Longitude on Jupiter's Orbit, 
 
 Variation of the Radius Vector, 
 
 and the Latitude 
 
SATELLITE IV 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 IX Values of Mean Longitude and the Arguments at Epoch 
 
 I 
 
 z 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 10 
 
 II 
 
 Date 
 
 Mean Long. 
 
 A 
 
 B 
 
 c 
 
 D 
 
 E 
 
 F 
 
 G 
 
 H 
 
 a 
 
 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 
 o 
 
 
 
 
 
 
 
 
 
 
 185O 
 
 141-80383 
 
 0-85 
 
 I-6 3 
 
 7-IIO 
 
 ^^OS 
 
 II78520 
 
 43-2I5 
 
 7-62 
 
 3-407 
 
 I785-I 
 
 1851 
 
 95-25885 
 
 173 
 
 1-23 
 
 8-935 
 
 11-128 
 
 9'595'5 
 
 6-951 
 
 4-04 
 
 15-247 
 
 2I5O-2 
 
 *1852 
 
 4871386 
 
 0-63 
 
 0-84 
 
 10-761 
 
 8-852 
 
 7-40510 
 
 20-845 
 
 0-46 
 
 10*270 
 
 25I5-4 
 
 1853 
 
 2373998 
 
 0-54 
 
 1-44 
 
 1-064 
 
 7-576 
 
 6-21506 
 
 35739 
 
 6-26 
 
 6-294 
 
 2881-5 
 
 1854 
 
 337-19500 
 
 I-42 
 
 1-04 
 
 2-890 
 
 5-300 
 
 4-02501 
 
 49' 6 34 
 
 2-68 
 
 I-3I7 
 
 3246*5 
 
 1855 
 
 290-65001 
 
 0-32 
 
 0-65 
 
 47 '5 
 
 3-024 
 
 1-83497 
 
 13-370 
 
 7-48 
 
 i3 -I 57 
 
 36II-7 
 
 *1856 
 
 244-10503 
 
 I'20 
 
 0-25 
 
 6-541 
 
 0-748 
 
 16-33538 
 
 27-264 
 
 3-90 
 
 8-180 
 
 3976-4 
 
 1857 
 
 219-13115 
 
 I-IO 
 
 0-85 
 
 9-367 
 
 16-166 
 
 iS'14533 
 
 42-158 
 
 i-33 
 
 4-204 
 
 97 
 
 1858 
 
 172-58617 
 
 o-oo 
 
 0-46 
 
 11-193 
 
 13-890 
 
 12-95529 
 
 5-895 
 
 6-12 
 
 16-044 
 
 374-6 
 
 1859 
 
 126-041 1 8 
 
 0-88 
 
 0-06 
 
 0-495 
 
 11-614 
 
 10-76524 
 
 19789 
 
 2-55 
 
 11-067 
 
 739-6 
 
 *1860 
 
 79-49620 
 
 176 
 
 4-18 
 
 2-321 
 
 9-338 
 
 8-57520 
 
 33-683 
 
 7'34 
 
 6-090 
 
 11047 
 
 1861 
 
 54-52232 
 
 1-66 
 
 0-27 
 
 5'H7 
 
 8-062 
 
 7-38515 
 
 48-577 
 
 477 
 
 z'l 14 
 
 1470-9 
 
 1862 
 
 7"97734 
 
 0-57 
 
 4-38 
 
 6-973 
 
 5786 
 
 5-19510 
 
 12-314 
 
 1-19 
 
 I3-954 
 
 1836-2 
 
 1863 
 
 32I-43235 
 
 -4S 
 
 3-99 
 
 8799 
 
 3-51 
 
 3-00506 
 
 26-208 
 
 5'99 
 
 8-977 
 
 22OI-2 
 
 *1864 
 
 274-88737 
 
 0'35 
 
 3'59 
 
 10-624 
 
 '234 
 
 0-81501 
 
 40-102 
 
 2-41 
 
 4-000 
 
 2565-9 
 
 1865 
 
 249-91349 
 
 0-25 
 
 4-19 
 
 0-927 
 
 16-652 
 
 16-31542 
 
 4-838 
 
 8-21 
 
 0*024 
 
 2931'3 
 
 1866 
 
 203-36851 
 
 1-13 
 
 3-80 
 
 z'753 
 
 14-376 
 
 14-12538 
 
 18733 
 
 4-63 
 
 11-864 
 
 3295-8 
 
 1867 
 
 156-82352 
 
 0-03 
 
 3 '40 
 
 4'579 
 
 12'XOO 
 
 u'93533 
 
 32-627 
 
 1-05 
 
 6-887 
 
 3659 - 9 
 
 *1868 
 
 110-27854 
 
 0-91 
 
 3-00 
 
 6-404 
 
 9-824 
 
 9745 Z 9 
 
 46-521 
 
 5-85 
 
 1-910 
 
 4024-6 
 
 1869 
 
 85-30466 
 
 0-8 1 
 
 3-6! 
 
 9-230 
 
 8-548 
 
 8-55524 
 
 11-257 
 
 3-27 
 
 H75I 
 
 5 8-I 
 
 1870 
 
 3875968 
 
 1-69 
 
 3-21 
 
 11056 
 
 6-271 
 
 6-36520 
 
 25-152 
 
 8-07 
 
 9774 
 
 423-5 
 
 1871 
 
 352-21469 
 
 0-60 
 
 2-8 1 
 
 o-3S9 
 
 3-995 
 
 4 -I 75i5 
 
 39-046 
 
 4-49 
 
 4797 
 
 78 9 -2 
 
 *1872 
 
 305-66971 
 
 1-48 
 
 2-42 
 
 2-184 
 
 1719 
 
 1-98511 
 
 2-782 
 
 0-91 
 
 16-637 
 
 II55-0 
 
 1873 
 
 280-69583 
 
 1-38 
 
 3-02 
 
 5-010 
 
 -443 
 
 079506 
 
 17-676 
 
 671 
 
 I2'66i 
 
 I52I-6 
 
 1874 
 
 234-15085 
 
 0-28 
 
 2-62 
 
 6-836 
 
 14-861 
 
 15-29547 
 
 3I-57I 
 
 3-13 
 
 7-684 
 
 1886-9 
 
 1875 
 
 187-60586 
 
 1-16 
 
 2-23 
 
 8-662 
 
 12-585 
 
 13-10542 
 
 45-465 
 
 7-93 
 
 2707 
 
 225I-8 
 
 *1876 
 
 141-06088 
 
 o g o6 
 
 1-83 
 
 10-488 
 
 10-309 
 
 10-91538 
 
 9-201 
 
 4-35 
 
 '4*547 
 
 26l6-2 
 
 1877 
 
 1 16-08700 
 
 1-94 
 
 2-43 
 
 0-790 
 
 Q-OSS 
 
 972533 
 
 24-095 
 
 177 
 
 10-571 
 
 2981-5 
 
 1878 
 
 69-54202 
 
 0-84 
 
 2-04 
 
 2-616 
 
 6757 
 
 7*53529 
 
 37-990 
 
 6-57 
 
 S'594 
 
 3345' 8 
 
 1879 
 
 22-99703 
 
 173 
 
 64 
 
 4-442 
 
 4-481 
 
 5-34524 
 
 1726 
 
 2*99 
 
 0-617 
 
 3710-2 
 
 *188O 
 
 336-45205 
 
 0-63 
 
 24 
 
 6-268 
 
 2-205 
 
 3-15520 
 
 15-620 
 
 779 
 
 12-457 
 
 4075-1 
 
 1881 
 
 311-47817 
 
 0'53 
 
 85 
 
 9-093 
 
 0-929 
 
 1-96515 
 
 30-5 '4 
 
 5-21 
 
 8-480 
 
 108-8 
 
 1882 
 
 264-93319 
 
 1-41 
 
 '45 
 
 10-919 
 
 I5-347 
 
 16-46556 
 
 44-409 
 
 1-64 
 
 3-504 
 
 474-4 
 
 1883 
 
 218-38820 
 
 0-31 
 
 05 
 
 O-222 
 
 I3-07I 
 
 14-27552 
 
 8-145 
 
 6-43 
 
 '5 "344 
 
 840-0 
 
 *1884 
 
 171-84322 
 
 1-19 
 
 0-66 
 
 2-048 
 
 10795 
 
 12-08547 
 
 22-039 
 
 2-86 
 
 10-367 
 
 1205-4 
 
 1885 
 
 146-86934 
 
 1-09 
 
 1-26 
 
 4-873 
 
 9-519 
 
 10-89543 
 
 36-933 
 
 0-28 
 
 6-390 
 
 1571-5 
 
 1886 
 
 100-32436 
 
 1-97 
 
 0-86 
 
 6-699 
 
 7-243 
 
 870538 
 
 0-670 
 
 5-08 
 
 1-414 
 
 1936-3 
 
 1887 
 
 5377937 
 
 0-88 
 
 0-47 
 
 8-525 
 
 4-967 
 
 6-51533 
 
 14-564 
 
 1-50 
 
 13-254 
 
 2300-9 
 
 *1888 
 
 7'23439 
 
 176 
 
 0-07 
 
 IO-35I 
 
 2-690 
 
 4-32529 
 
 28-458 
 
 6-30 
 
 8-277 
 
 2665-5 
 
 1889 
 
 342-26051 
 
 1-66 
 
 0-67 
 
 0-653 
 
 I-4I4 
 
 3-13524 
 
 43-352 
 
 372 
 
 4-300 
 
 3031-2 
 
 189O 
 
 29571553 
 
 0-56 
 
 0-28 
 
 2-479 
 
 I5-833 
 
 0-94520 
 
 7-089 
 
 0-14 
 
 16-141 
 
 3396-1 
 
 1891 
 
 249-17054 
 
 1-44 
 
 4'39 
 
 4-305 
 
 13-556 
 
 15-44561 
 
 20-983 
 
 4'94 
 
 11-164 
 
 376i-4 
 
 *1892 
 
 202-62556 
 
 o'34 
 
 3'99 
 
 6-I3I 
 
 II-280 
 
 13-25556 
 
 34-877 
 
 1-36 
 
 6-187 
 
 4126-8 
 
 1893 
 
 177-65168 
 
 0-24 
 
 4"6o 
 
 8-957 
 
 IO-O04 
 
 12-06552 
 
 49771 
 
 7-16 
 
 2-2IO 
 
 160-6 
 
 1894 
 
 131-10670 
 
 I'll 
 
 4-20 
 
 10782 
 
 7-728 
 
 9- 8 7547 
 
 13-508 
 
 3-58 
 
 I4-05I 
 
 526-0 
 
 1895 
 
 84-56171 
 
 0-03 
 
 3-80 
 
 0-085 
 
 5-452 
 
 7-68543 
 
 27-402 
 
 O'OO 
 
 9-074 
 
 891-2 
 
 *1896 
 
 38-01673 
 
 0-91 
 
 3-4I 
 
 I*9II 
 
 3-176 
 
 5-49538 
 
 41-296 
 
 4-80 
 
 4-097 
 
 1256-1 
 
 1897 
 
 13-04285 
 
 0-81 
 
 4-01 
 
 4737 
 
 I-gOO 
 
 4-30533 
 
 6-032 
 
 2*22 
 
 O'I2O 
 
 1621*9 
 
 1898 
 
 326-49787 
 
 1-69 
 
 3'6i 
 
 6-562 
 
 16-318 
 
 2*11529 
 
 19-927 
 
 7-02 
 
 11-961 
 
 1986-5 
 
 1899 
 
 279-95288 
 
 0-59 
 
 3-22 
 
 8-388 
 
 14-042 
 
 16-61570 
 
 33-821 
 
 3'44 
 
 6-984 
 
 2351-2 
 
 190O 
 
 233-40790 
 
 1-47 
 
 2-82 
 
 10*214 
 
 II766 
 
 14-42565 
 
 47715 
 
 8-24 
 
 2-OO7 
 
 2716-0 
 
 Periods 
 
 
 1-98 
 
 4'5i 
 
 12*523 
 
 16-694 
 
 16-69046 
 
 50-158 
 
 8-38 
 
 16-817 
 
 4332-6 
 
 Constant applied to each entry in Column 2 : - i'-ooooo. 
 224 
 
SATELLITE IV 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 IX Values of Mean Longitude and the Arguments at Epoch 
 
 12 13 
 
 '4 
 
 15 
 
 16 
 
 17 
 
 18 
 
 '9 
 
 20 
 
 21 
 
 1 
 
 J 
 
 K 
 
 L 
 
 M 
 
 N 
 
 
 
 P 
 
 Q 
 
 R 
 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 1850 
 
 8-68994 
 
 6742 
 
 5-61 
 
 4-7937 
 
 2-535 
 
 6-53 
 
 16-49 
 
 I5-49 
 
 I-8 3 
 
 1851 
 
 6-53158 
 
 4-599 
 
 3'5' 
 
 2-6659 
 
 0-496 
 
 1-52 
 
 10-04 
 
 '474 
 
 I5-OO 
 
 *1852 
 
 4'37323 
 
 2-456 
 
 1-41 
 
 0-5380 
 
 15-140 
 
 '3'33 
 
 3-59 
 
 13-99 
 
 11-43 
 
 1853 
 
 3-21487 
 
 1-313 
 
 0-31 
 
 16-0978 
 
 14-101 
 
 9-32 
 
 15-02 
 
 14-24 
 
 8-85 
 
 1854 
 
 1-05651 
 
 7-5I4 
 
 6-56 
 
 13-9699 
 
 12*062 
 
 4-31 
 
 8-57 
 
 
 5^7 
 
 1855 
 
 15-58717 
 
 5-37I 
 
 4-46 
 
 11-8420 
 
 10-023 
 
 16-12 
 
 2-12 
 
 12-74 
 
 1-69 
 
 *1856 
 
 13-42881 
 
 3-227 
 
 2-36 
 
 9-7142 
 
 7-984 
 
 i ri i 
 
 12-55 
 
 11-99 
 
 14-87 
 
 1857 
 
 12-27046 
 
 2-084 
 
 1-26 
 
 8-5863 
 
 6-945 
 
 7-10 
 
 7-IO 
 
 
 I2-29 
 
 1858 
 
 IO'I I2IO 
 
 8-285 
 
 7'S 1 
 
 6-4584 
 
 4-906 
 
 2-09 
 
 0-65 
 
 11-49 
 
 8-71 
 
 1859 
 
 7-95374 
 
 6-142 
 
 5-41 
 
 4'3305 
 
 2-867 
 
 13-90 
 
 II-09 
 
 10-74 
 
 5-13 
 
 *1860 
 
 579539 
 
 3-999 
 
 3-3i 
 
 2-2027 
 
 0-828 
 
 8-89 
 
 4-63 
 
 9^9 
 
 I- 5 6 
 
 1861 
 
 4-63703 
 
 2-856 
 
 2-21 
 
 1-0748 
 
 16-473 
 
 4-88 
 
 I6-07 
 
 10-25 
 
 1573 
 
 1862 
 
 2-47867 
 
 0-713 
 
 O'll 
 
 15-6346 
 
 I4-433 
 
 16-69 
 
 9-62 
 
 9-50 
 
 12-15 
 
 1863 
 
 0-32032 
 
 6-914 
 
 6-36 
 
 13-5067 
 
 12-394 
 
 11-69 
 
 3-I7 
 
 875 
 
 8-57 
 
 *1864 
 
 14-85097 
 
 4-771 
 
 4-26 
 
 11-3788 
 
 
 6-68 
 
 I3-6O 
 
 8-00 
 
 5-00 
 
 1865 
 
 13-69262 
 
 3-627 
 
 3-16 
 
 10-2509 
 
 9-316 
 
 2-67 
 
 8-I 5 
 
 8-25 
 
 2-42 
 
 1866 
 
 11-53426 
 
 1-484 
 
 i -06 
 
 8-I23I 
 
 7-277 
 
 14-48 
 
 1-70 
 
 7-50 
 
 I5-59 
 
 1867 
 
 9-3759 
 
 7-685 
 
 7-30 
 
 5^952 
 
 5-238 
 
 9'47 
 
 12-13 
 
 6-75 
 
 I2-O2 
 
 *1868 
 
 7-2I755 
 
 5*542 
 
 5-21 
 
 3-8673 
 
 3-199 
 
 4-46 
 
 5-68 
 
 6-00 
 
 8-44 
 
 1869 
 
 6-05919 
 
 4-399 
 
 3'n 
 
 27395 
 
 2-160 
 
 0-45 
 
 0-23 
 
 6-25 
 
 5-86 
 
 1870 
 
 3-90083 
 
 2-256 
 
 2-OI 
 
 0-6116 
 
 O'I2I 
 
 12-26 
 
 10-66 
 
 5-50 
 
 2-28 
 
 1871 
 
 1-74248 
 
 o'l 13 
 
 8-25 
 
 15-1714 
 
 14-766 
 
 7-25 
 
 4-21 
 
 475 
 
 15-46 
 
 *1872 
 
 16-27314 
 
 6-3I4 
 
 6-I 5 
 
 I3-0435 
 
 12727 
 
 2-24 
 
 14-64 
 
 4-00 
 
 n-88 
 
 1873 
 
 15-11478 
 
 5-171 
 
 5-06 
 
 11-9156 
 
 u-688 
 
 15-05 
 
 9-19 
 
 4-25 
 
 9-30 
 
 1874 
 
 12-95642 
 
 3-028 
 
 2-96 
 
 9-7877 
 
 9-649 
 
 10-04 
 
 2-74 
 
 3*5 
 
 5-72 
 
 1875 
 
 10-79806 
 
 0-884 
 
 0-86 
 
 7-6599 
 
 7-610 
 
 5-03 
 
 13-18 
 
 2-75 
 
 2-14 
 
 *1876 
 
 8-63971 
 
 7-085 
 
 7-10 
 
 5-5320 
 
 5-57I 
 
 O'O2 
 
 6-72 
 
 2-OO 
 
 15-32 
 
 1877 
 
 7-48i35 
 
 5'942 
 
 6-00 
 
 4-4041 
 
 4-532 
 
 12-83 
 
 1-27 
 
 2-25 
 
 1274 
 
 1878 
 
 5-32299 
 
 3799 
 
 3'9' 
 
 2-2763 
 
 2-493 
 
 7-83 
 
 11-71 
 
 I-50 
 
 9-16 
 
 1879 
 
 3-16464 
 
 1-656 
 
 i -8 1 
 
 0-1484 
 
 0-454 
 
 2-82 
 
 5-26 
 
 075 
 
 5-59 
 
 *188O 
 
 1-00628 
 
 7-857 
 
 8-05 
 
 14-7082 
 
 15-098 
 
 H-63 
 
 15-69 
 
 O'OO 
 
 2-01 
 
 1881 
 
 16-53694 
 
 6-714 
 
 6-95 
 
 13-5803 
 
 14-059 
 
 10*62 
 
 10-24 
 
 0-26 
 
 16-18 
 
 s 
 
 1882 
 
 14-37858 
 
 4-57i 
 
 4-85 
 
 11-4524 
 
 I2"O2O 
 
 5-6l 
 
 379 
 
 16-13 
 
 I 2 '6 I 
 
 1883 
 
 12-22023 
 
 2-428 
 
 2-76 
 
 9-3245 
 
 9-981 
 
 O'6o 
 
 14-22 
 
 15-38 
 
 9-03 
 
 *1884 
 
 10-06187 
 
 0-285 
 
 0-66 
 
 7-1967 
 
 7-942 
 
 12-4I 
 
 777 
 
 14-63 
 
 5-45 
 
 1885 
 
 8-90351 
 
 7-486 
 
 7-90 
 
 6-0688 
 
 6-903 
 
 8-40 
 
 2-32 
 
 14-88 
 
 2-87 
 
 1886 
 
 674515 
 
 5-342 
 
 5-80 
 
 3-9409 
 
 4-864 
 
 3-39 
 
 1275 
 
 H''3 
 
 16-05 
 
 1887 
 *1888 
 
 4-58680 
 2-42844 
 
 3''99 
 1-056 
 
 370 
 1-60 
 
 1-8131 
 16-3728 
 
 2-825 
 0-786 
 
 15-20 
 
 6-30 
 1673 
 
 13-38 
 12-63 
 
 12-47 
 8-89 
 
 1889 
 
 1-27008 
 
 8-257 
 
 0-51 
 
 15-2449 
 
 16-431 
 
 6-18 
 
 11-28 
 
 12-88 
 
 6-31 
 
 1890 
 
 15-80074 
 
 6-1 14 
 
 675 
 
 13-1171 
 
 14-392 
 
 1-17 
 
 4'83 
 
 12-13 
 
 273 
 
 1891 
 *1892 
 
 13-64239 
 11-48403 
 
 3-97I 
 1-828 
 
 4-65 
 
 10-9892 
 8-8613 
 
 12-353 
 10-314 
 
 12-98 
 7-97 
 
 15-27 
 8-81 
 
 10-64 
 
 15-91 
 12-33 
 
 1893 
 1894 
 
 10-32567 
 8-16732 
 
 0-685 
 6-886 
 
 i-45 
 77 
 
 77335 
 5-6056 
 
 7-236 
 
 3'97 
 15-78 
 
 13-80 
 
 10-89 
 10-14 
 
 9'75 
 6-18 
 
 ft 
 
 1895 
 
 6-00896 
 
 4743 
 
 5-60 
 
 3-4777 
 
 5-I97 
 
 1077 
 
 7'35 
 
 9'39 
 
 2-60 
 
 *1896 
 
 3-85060 
 
 2-599 
 
 3'5 
 
 1-3499 
 
 3-I57 
 
 576 
 
 0-90 
 
 8-64 
 
 8.0 
 
 '577 
 
 1897 
 1898 
 1899 
 1900 
 
 2-69224 
 0-53389 
 15-06455 
 12-90619 
 
 1-456 
 
 7-657 
 
 3-37I 
 
 2-40 
 0-30 
 6-55 
 
 4'45 
 
 O'222O 
 I478I7 
 I2-6539 
 10-5260 
 
 2-118 
 
 0-079 
 14-724 
 12-685 
 
 1-75 
 13-56 
 8-55 
 
 12-33 
 5-88 
 16-31 
 9-86 
 
 89 
 8-14 
 
 7-39 
 6-64 
 
 13-19 
 9-62 
 6-04 
 2-46 
 
 Periods 
 
 16-68902 8 '344 
 
 8-34 16-6876 
 
 16-684 
 
 16-82 
 
 16-88 
 
 16-62 
 
 16-75 
 
 
 
 
 
 
 I 
 
 To obtain the True Longitude, reduced to Jupiter's Orbit, the entries of Column 3 must be supplemented by the equations of Tables xu-iXXII. 
 
SATELLITE IV 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 IX continued Values of Mean Longitude and the Arguments at Epoch 
 
 I 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 s 
 
 9 
 
 10 
 
 II 
 
 Date 
 
 Mean Long. 
 
 A 
 
 B 
 
 c 
 
 D 
 
 E 
 
 F 
 
 G 
 
 H 
 
 a 
 
 
 o 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 19OO 
 
 233-40790 
 
 1-47 
 
 2-82 
 
 IO-2I4 
 
 II-766 
 
 14-42565 
 
 47715 
 
 8-24 
 
 2-OO7 
 
 2716-0 
 
 19O1 
 
 186-86291 
 
 0-37 
 
 2-42 
 
 1 2 -040 
 
 9-490 
 
 12-23561 
 
 II-45I 
 
 4-66 
 
 '3-847 
 
 308I-I 
 
 1902 
 
 140-31793 
 
 1-25 
 
 2-03 
 
 I-342 
 
 7-2I4 
 
 10-04556 
 
 25-346 
 
 I -08 
 
 8-871 
 
 3446-4 
 
 19O3 
 
 9377294 
 
 0-15 
 
 63 
 
 3-I68 
 
 4-938 
 
 7-8555* 
 
 39-240 
 
 5-88 
 
 3-894 
 
 3811-6 
 
 *1904 
 
 47-22796 
 
 1-03 
 
 23 
 
 4-994 
 
 2-662 
 
 5-66547 
 
 2-976 
 
 2-30 
 
 '5-734 
 
 4176-6 
 
 19O5 
 
 22-25408 
 
 0-94 
 
 84 
 
 7-820 
 
 1-386 
 
 4^7543 
 
 I7-870 
 
 8-10 
 
 11-757 
 
 209-9 
 
 19O6 
 
 335-70909 
 
 1-82 
 
 '44 
 
 9-646 
 
 15-804 
 
 2-28538 
 
 3I-764 
 
 4-52 
 
 6-780 
 
 5747 
 
 1907 
 
 289-1641 1 
 
 072 
 
 04 
 
 11-471 
 
 13-528 
 
 0-09534 
 
 45^59 
 
 o-95 
 
 1-804 
 
 939-5 
 
 *19O8 
 
 242-61912 
 
 I '60 
 
 0-65 
 
 0-774 
 
 I 1*252 
 
 '4-59575 
 
 9-395 
 
 574 
 
 I3-644 
 
 1304-4 
 
 19O9 
 
 217-64525 
 
 I-50 
 
 1-25 
 
 3-600 
 
 9-976 
 
 13-40570 
 
 24-289 
 
 3-i7 
 
 9-667 
 
 1670-4 
 
 1910 
 
 171-10026 
 
 0-40 
 
 0-85 
 
 5-426 
 
 7-699 
 
 Ir21566 
 
 38-I83 
 
 7-96 
 
 4-690 
 
 2035-4 
 
 1911 
 
 124-55528 
 
 1-28 
 
 0-46 
 
 7-251 
 
 5-4*3 
 
 9-02561 
 
 1-92O 
 
 4-39 
 
 I6-53I 
 
 2400-6 
 
 *1912 
 
 78-01029 
 
 0-18 
 
 0-06 
 
 9-077 
 
 3-I47 
 
 6-83556 
 
 I5-8I4 
 
 0-81 
 
 "554 
 
 2765-7 
 
 1913 
 
 53-03642 
 
 0-09 
 
 0-66 
 
 11-903 
 
 I-87I 
 
 5-64552 
 
 30-708 
 
 6-61 
 
 7-577 
 
 3'3'-8 
 
 1914 
 
 6-49143 
 
 0-97 
 
 0-27 
 
 1-206 
 
 16-289 
 
 3-45547 
 
 44-602 
 
 3-03 
 
 2-6OO 
 
 3496-8 
 
 1915 
 
 3I9-94645 
 
 1-85 
 
 4-38 
 
 3-031 
 
 14-013 
 
 1-26543 
 
 8-339 
 
 7-83 
 
 14-441 
 
 3861-6 
 
 *1916 
 
 273-40146 
 
 075 
 
 3'9 8 
 
 4-857 
 
 11-737 
 
 1576584 
 
 22-233 
 
 4-25 
 
 9'464 
 
 4226-4 
 
 1917 
 
 248-42759 
 
 0-65 
 
 0-08 
 
 7-683 
 
 10-461 
 
 I4-57579 
 
 37-I27 
 
 1-67 
 
 5-487 
 
 259-5 
 
 1918 
 
 201-88260 
 
 '53 
 
 4-19 
 
 9-509 
 
 8-185 
 
 I2-38575 
 
 0-863 
 
 6-47 
 
 0-510 
 
 624-5 
 
 1919 
 
 155-33762 
 
 0-43 
 
 379 
 
 11-335 
 
 5-909 
 
 IO-I9570 
 
 14-758 
 
 2-89 
 
 I2-35I 
 
 989-6 
 
 -1920 
 
 108-79263 
 
 i"3' 
 
 3-40 
 
 0-637 
 
 3-633 
 
 8-00566 
 
 28-652 
 
 7-69 
 
 7-374 
 
 '354-8 
 
 1921 
 
 83-81876 
 
 I-2I 
 
 4-00 
 
 3'4 6 3 
 
 2-357 
 
 6-81561 
 
 43-546 
 
 5-11 
 
 3-397 
 
 1721-1 
 
 1922 
 
 37^7377 
 
 O'I2 
 
 3-60 
 
 5-289 
 
 o'oSi 
 
 4-62556 
 
 7-282 
 
 i-53 
 
 15-237 
 
 2086-5 
 
 1923 
 
 35072879 
 
 I'OO 
 
 3-21 
 
 7-115 
 
 14-499 
 
 2-43552 
 
 21-177 
 
 6-33 
 
 10-26l 
 
 2451-1 
 
 *1924 
 
 304-18380 
 
 1-88 
 
 2-81 
 
 8-940 
 
 12-223 
 
 0-24547 
 
 35-07I 
 
 75 
 
 5-284 
 
 2816-0 
 
 1925 
 
 279-20993 
 
 178 
 
 3-41 
 
 1 1-766 
 
 10-947 
 
 1574588 
 
 49-965 
 
 0-17 
 
 I-307 
 
 3181-3 
 
 1926 
 
 232-66494 
 
 0-68 
 
 3-02 
 
 1-069 
 
 8-671 
 
 13-55584 
 
 13-701 
 
 4-97 
 
 13-147 
 
 3545'S 
 
 1927 
 
 186-1 1996 
 
 ,-56 
 
 2-62 
 
 2-895 
 
 6-395 
 
 11-36579 
 
 27-596 
 
 i-39 
 
 8-I7I 
 
 3909-8 
 
 -1928 
 
 I39-57497 
 
 0-46 
 
 2-22 
 
 4-720 
 
 4-118 
 
 9-I7575 
 
 41-490 
 
 6-19 
 
 3-I94 
 
 4274-5 
 
 1929 
 
 114-60110 
 
 0-36 
 
 *-8 3 
 
 7-546 
 
 2-842 
 
 7-98570 
 
 6-226 
 
 3-61 
 
 16-034 
 
 308-0 
 
 1930 
 
 68-0561 1 
 
 1-25 
 
 *'43 
 
 9-372 
 
 0-566 
 
 5-79566 
 
 20'I2O 
 
 0-03 
 
 11-057 
 
 673-6 
 
 1931 
 
 21-51113 
 
 0-15 
 
 2-03 
 
 11-198 
 
 14-984 
 
 3-60561 
 
 34- I5 
 
 4-83 
 
 6-08 I 
 
 1039-3 
 
 *1932 
 
 334-96614 
 
 1-03 
 
 1-64 
 
 0-500 
 
 12-708 
 
 I-4I557 
 
 47-909 
 
 1-26 
 
 I-I04 
 
 1405-0 
 
 1933 
 
 309-99227 
 
 o'93 
 
 2-24 
 
 3-326 
 
 11-432 
 
 0-22552 
 
 12-645 
 
 7-05 
 
 I3-944 
 
 1771-6 
 
 1934 
 
 263-44728 
 
 1-81 
 
 1-84 
 
 5-152 
 
 9-156 
 
 147*593 
 
 26-539 
 
 3-48 
 
 8-967 
 
 2136-8 
 
 1935 
 
 216-90230 
 
 071 
 
 i-45 
 
 6-978 
 
 6-880 
 
 12-53589 
 
 40-434 
 
 8-27 
 
 3-990 
 
 2501-6 
 
 *1936 
 
 170-35731 
 
 1-59 
 
 1-05 
 
 8-804 
 
 4-604 
 
 10-34584 
 
 4-170 
 
 4-70 
 
 15-831 
 
 2866-0 
 
 1937 
 
 i45'38344 
 
 1-49 
 
 1-65 
 
 11-629 
 
 3-328 
 
 9-15579 
 
 19-064 
 
 2'12 
 
 11-854 
 
 3231-2 
 
 1938 
 
 98-83845 
 
 0-40 
 
 i 26 
 
 0-932 
 
 1-052 
 
 6-96575 
 
 32-958 
 
 6-92 
 
 6-877 
 
 3595-4 
 
 1939 
 
 5 2 -29347 
 
 1-28 
 
 0-86 
 
 2-758 
 
 15-470 
 
 4-77570 
 
 46-853 
 
 3-34 
 
 1-900 
 
 3960-0 
 
 *194O 
 
 5-74848 
 
 0-18 
 
 0-46 
 
 4-584 
 
 13-194 
 
 2-58566 
 
 10-589 
 
 8-14 
 
 '374' 
 
 4324-9 
 
 1941 
 
 340-77461 
 
 0-08 
 
 1-07 
 
 7-409 
 
 11-918 
 
 1-39561 
 
 25H83 
 
 5-56 
 
 9764 
 
 358-7 
 
 1942 
 
 294-22962 
 
 0-96 
 
 0-67 
 
 9-235 
 
 9-642 
 
 15-89602 
 
 39-377 
 
 1-98 
 
 4787 
 
 7*4-3 
 
 1943 
 
 447-68464 
 
 1-84 
 
 0-27 
 
 1 1 -06 1 
 
 7-366 
 
 13-70598 
 
 3'"4 
 
 6-78 
 
 16-628 
 
 1089-8 
 
 *1944 
 
 201-13965 
 
 0-74 
 
 4'39 
 
 0-364 
 
 5-090 
 
 11-51593 
 
 17-008 
 
 3-20 
 
 11-651 
 
 '455-1 
 
 1945 
 
 176-16578 
 
 0-64 
 
 0-48 
 
 3-I89 
 
 3-814 
 
 10-32589 
 
 3I-902 
 
 O-62 
 
 7-674 
 
 1821-1 
 
 1946 
 
 129-62079 
 
 1-52 
 
 0-08 
 
 5-015 
 
 1-537 
 
 8-13584 
 
 45-796 
 
 5-42 
 
 2-697 
 
 2185-9 
 
 1947 
 
 83-07581 
 
 0-43 
 
 4-20 
 
 6-841 
 
 15-956 
 
 5^4579 
 
 9'533 
 
 1-84 
 
 H-537 
 
 2550-5 
 
 -1948 
 
 36-53082 
 
 1-31 
 
 3-80 
 
 8-667 
 
 13-680 
 
 375575 
 
 23-427 
 
 6-64 
 
 9-561 
 
 2915-2 
 
 1949 
 
 11-55695 
 
 I -2 I 
 
 4-41 
 
 "493 
 
 12-404 
 
 2-56570 
 
 38-321 
 
 4-06 
 
 5-584 
 
 3281-0 
 
 195O 
 
 325-01 196 
 
 O'll 
 
 4-01 
 
 0-795 
 
 10-127 
 
 0-37566 
 
 2-057 
 
 0-48 
 
 0-607 
 
 3646-0 
 
 Periods 
 
 
 1-98 
 
 4'S 1 
 
 12-523 
 
 16-694 
 
 16-69046 
 
 50-158 
 
 8-38 
 
 16-817 
 
 433*'6 
 
 Constant applied to each entry in Column 2 : - i'-ooooo. 
 226 
 
SATELLITE IV 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 IX continued Values of Mean Longitude and the Arguments at Epoch 
 
 12 
 
 '3 
 
 14 
 
 >5 
 
 16 
 
 17 
 
 il 
 
 '9 
 
 zo 
 
 21 
 
 1 
 
 J 
 
 K 
 
 L 
 
 M 
 
 N 
 
 O 
 
 P 
 
 Q 
 
 R 
 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 19OO 
 
 12-90619 
 
 3-37I 
 
 4'45 
 
 10-5260 
 
 12-685 
 
 3'54 
 
 9'86 
 
 6-64 
 
 2- 4 6 
 
 19O1 
 
 1074783 
 
 1-228 
 
 2-35 
 
 8-3981 
 
 10-646 
 
 I5-35 
 
 3'4> 
 
 5-8 9 
 
 15-64 
 
 1902 
 
 8-58948 
 
 7-429 
 
 0-25 
 
 6-2703 
 
 8-607 
 
 10-34 
 
 13-84 
 
 S-H 
 
 I 2'O6 
 
 19O3 
 
 6-431 12 
 
 5-286 
 
 6-50 
 
 4-1424 
 
 6-568 
 
 5'33 
 
 7-39 
 
 4-39 
 
 8-48 
 
 *1904 
 
 4-27276 
 
 3-I43 
 
 4-40 
 
 2-0145 
 
 4-529 
 
 0-32 
 
 0-94 
 
 3-64 
 
 4-90 
 
 19O5 
 
 3-1I44I 
 
 1-999 
 
 3-30 
 
 0-8866 
 
 3-49 
 
 13-13 
 
 12-37 
 
 3-89 
 
 2-32 
 
 1906 
 
 0-95605 
 
 8-201 
 
 I '20 
 
 15-4464 
 
 I-450 
 
 8-12 
 
 5-92 
 
 S-H 
 
 I5-50 
 
 1907 
 
 15-48671 
 
 6-057 
 
 7-45 
 
 13-3185 
 
 16-095 
 
 3-11 
 
 16-36 
 
 2'39 
 
 II-92 
 
 *19O8 
 
 I3-3*835 
 
 3-914 
 
 5-35 
 
 11-1907 
 
 14-056 
 
 14-92 
 
 9-91 
 
 1-64 
 
 8-34 
 
 1909 
 
 12-16999 
 
 2-771 
 
 4-25 
 
 10-0628 
 
 I3-017 
 
 10-92 
 
 4H5 
 
 1-89 
 
 5-76 
 
 191O 
 
 lo-oi 164 
 
 0-628 
 
 2-15 
 
 7-9349 
 
 10-978 
 
 5-91 
 
 14-89 
 
 1-14 
 
 2-19 
 
 1911 
 
 7-85328 
 
 6-829 
 
 O-O5 
 
 5-8071 
 
 8-939 
 
 0-90 
 
 8-44 
 
 0-40 
 
 I5'36 
 
 *1912 
 
 5-69492 
 
 4-686 
 
 6-30 
 
 3-6792 
 
 6-900 
 
 12-71 
 
 1-99 
 
 16-27 
 
 11-78 
 
 1913 
 
 4-53657 
 
 3-543 
 
 5'20 
 
 2-5513 
 
 5-86I 
 
 8-70 
 
 13-42 
 
 16-52 
 
 9-21 
 
 1914 
 
 2-3782I 
 
 1-400 
 
 3 -IO 
 
 0-4234 
 
 3-822 
 
 3-69 
 
 6-97 
 
 15-77 
 
 5-63 
 
 1915 
 
 0-21985 
 
 7-601 
 
 roo 
 
 14-9832 
 
 1783 
 
 15-50 
 
 0-52 
 
 15-02 
 
 2-0$ 
 
 *1916 
 
 I47505I 
 
 5H57 
 
 7-24 
 
 iz-8553 
 
 16-428 
 
 10-49 
 
 10-95 
 
 14-27 
 
 15-22 
 
 1917 
 
 I3-592I5 
 
 4'3'4 
 
 6-14 
 
 117275 
 
 IS^ 
 
 6-48 
 
 5-50 
 
 14-52 
 
 12-65 
 
 1918 
 
 II-43380 
 
 2-171 
 
 4-05 
 
 9-5996 
 
 I3-35 
 
 1-47 
 
 iS-93 
 
 13-77 
 
 9-07 
 
 1919 
 
 9-27544 
 
 0-028 
 
 1-95 
 
 7-4717 
 
 II-3II 
 
 13-28 
 
 9-48 
 
 13-02 
 
 5'49 
 
 *1920 
 
 7-II708 
 
 6-229 
 
 8-19 
 
 5-3438 
 
 9-272 
 
 8-27 
 
 3-03 
 
 12-28 
 
 I-9I 
 
 1921 
 
 5'95873 
 
 5-086 
 
 7-09 
 
 4-2160 
 
 8-233 
 
 4-26 
 
 14-46 
 
 12-53 
 
 16-09 
 
 1922 
 
 3-80037 
 
 2 '943 
 
 4-99 
 
 2-0881 
 
 6-194 
 
 16-07 
 
 8-01 
 
 11-78 
 
 12-51 
 
 1923 
 
 1-64201 
 
 0-800 
 
 2-90 
 
 16-6479 
 
 4''S5 
 
 1 1 -06 
 
 1-56 
 
 11-03 
 
 8'93 
 
 *1924 
 
 16-17267 
 
 7-001 
 
 0-80 
 
 14-5200 
 
 2-115 
 
 6-06 
 
 I2'OO 
 
 10-28 
 
 5-35 
 
 1925 
 
 15-01432 
 
 5-858 
 
 8-04 
 
 13-3921 
 
 1-077 
 
 2-05 
 
 6-54 
 
 io-53 
 
 278 
 
 1926 
 
 12-85596 
 
 57*4 
 
 5^4 
 
 11-2643 
 
 15-721 
 
 13-86 
 
 0-09 
 
 9-78 
 
 IS-95 
 
 1927 
 
 10-69760 
 
 1-571 
 
 3-84 
 
 9 -I 364 
 
 13-682 
 
 8-85 
 
 10-53 
 
 9-03 
 
 12-37 
 
 *1928 
 
 8-53924 
 
 7-772 
 
 175 
 
 7-0085 
 
 11-643 
 
 3-84 
 
 4-08 
 
 8-28 
 
 879 
 
 1929 
 1930 
 
 7-38089 
 5-22253 
 
 6-629 
 
 4-486 
 
 0-65 
 6-89 
 
 5-8806 
 37528 
 
 10-604 
 8-565 
 
 16-65 
 
 11-64 
 
 I5-5I 
 9-06 
 
 8-53 
 7-78 
 
 6-22 
 2-64 
 
 1931 
 *1932 
 
 3-06417 
 
 0-90582 
 
 z-343 
 
 O'2OO 
 
 479 
 2-69 
 
 1-6249 
 16-1847 
 
 6-526 
 4-487 
 
 6-63 
 1-62 
 
 2-61 
 
 13-04 
 
 7-3 
 6-28 
 
 I5-8I 
 12-24 
 
 fjr 
 
 1933 
 
 16-43648 
 
 7-40I 
 
 i -60 
 
 15-0568 
 
 3-448 
 
 14-43 
 
 7-59 
 
 6-53 
 
 * Q 
 
 9-66 
 
 60 
 
 1934 
 
 14-27812 
 
 5-258 
 
 7-84 
 
 12-9289 
 
 1-409 
 
 9-42 
 
 1-14 
 
 5-78 
 
 os 
 
 1935 
 
 12-11976 
 
 3-II5 
 
 574 
 
 10-8011 
 
 16-054 
 
 4-41 
 
 11-57 
 
 5'3 
 
 2-50 
 
 *1936 
 1937 
 
 9-96141 
 8-80305 
 
 0-971 
 8-I72 
 
 3-64 
 2-54 
 
 8-6732 
 7-5453 
 
 14-015 
 12-976 
 
 I6-22 
 I2'2I 
 
 5-12 
 16-55 
 
 4-28 
 4'53 
 
 _ . O 
 
 15-68 
 13-10 
 
 1938 
 1939 
 *194O 
 
 6-64469 
 
 4 - 4 86 33 
 2-32798 
 
 6-029 
 3-886 
 1743 
 
 0-45 
 6-69 
 
 4'59 
 
 5-4I74 
 3-2896 
 
 1-1617 
 
 10-937 
 8-898 
 6-858 
 
 7-20 
 2-20 
 I4-OO 
 
 10-10 
 3-65 
 14-09 
 
 3-78 
 
 3-03 
 2-29 
 
 9-52 
 5'94 
 2-36 
 
 1941 
 1942 
 1943 
 *1944 
 
 1-16962 
 15-70028 
 13-54192 
 ii'38357 
 
 O-60O 
 
 6-801 
 4-658 
 2-515 
 
 3-49 
 1-39 
 7-64 
 5'54 
 
 0-0338 
 14-5936 
 12-4657 
 10-3378 
 
 5-819 
 
 3-780 
 1-741 
 16-386 
 
 lO'OO 
 
 4-99 
 
 1 6-80 
 11-79 
 
 8-63 
 2-18 
 12-62 
 6-17 
 
 2-54 
 1-79 
 1-04 
 0-29 
 
 16-54 
 12-96 
 9-38 
 5-81 
 
 3* "9 1 
 
 1945 
 
 10-22521 
 
 1-371 
 
 4-44 
 
 9-2100 
 
 I5-347 
 
 7-78 
 
 072 
 
 0-54 
 
 2 3 
 
 1946 
 1947 
 *1948 
 1949 
 195O 
 
 8-06685 
 5-90850 
 
 375'4 
 2-59178 
 0-43342 
 
 7-572 
 
 5^9 
 
 3-286 
 
 2-143 
 o-ooo 
 
 2-34 
 0-24 
 6-49 
 
 5'39 
 3-29 
 
 7-0821 
 
 4-9542 
 2-8264 
 1-6985 
 16-2583 
 
 13-308 
 11-269 
 9-230 
 8-191 
 6-152 
 
 2-77 
 14-58 
 
 9-57 
 5-56 
 
 o-55 
 
 11-15 
 
 4-70 
 
 I5-I3 
 9-68 
 
 3-23 
 
 16-41 
 15-66 
 14-91 
 15-16 
 14-42 
 
 16-40 
 12-82 
 9-25 
 6-67 
 3-09 
 
 Periods 
 
 16-68902 
 
 8-344 
 
 8-34 
 
 16-6876 
 
 16-684 
 
 16-82 
 
 16-88 
 
 16-62 
 
 1675 
 
 To obtain the True Longitude, reduced to Jupiter's Orl.it. the entrie 9 of Column a must be supplemented by the equations 01 laoies Ai , .^JUl. 
 
SATELLITE IV 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 IX continued Values of Mean Longitude and the Arguments at Epoch 
 
 I 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 8 
 
 9 
 
 10 
 
 ii 
 
 Date 
 
 Mean Long. 
 
 A 
 
 B 
 
 c 
 
 D 
 
 E 
 
 F 
 
 G 
 
 H 
 
 a 
 
 
 
 
 
 
 
 
 
 
 
 
 o 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 1950 
 
 325-01196 
 
 O'l I 
 
 4-01 
 
 0-795 
 
 IO-I27 
 
 0-37566 
 
 2-057 
 
 0-48 
 
 0-607 
 
 3646-0 
 
 1951 
 
 278-46698 
 
 0- 99 
 
 3'6i 
 
 2-621 
 
 7-851 
 
 14-87607 
 
 15-952 
 
 5-28 
 
 12-447 
 
 4011-3 
 
 *1952 
 
 231-92199 
 
 I-8 7 
 
 3-22 
 
 4-447 
 
 5-575 
 
 12-68602 
 
 29-846 
 
 170 
 
 7'47I 
 
 44-0 
 
 1953 
 
 206-94812 
 
 177 
 
 3'8* 
 
 7 -2 73 
 
 4-299 
 
 11-49598 
 
 44740 
 
 7-50 
 
 3'494 
 
 4IO-4 
 
 1954 
 
 160-40313 
 
 0-67 
 
 3'4* 
 
 9-098 
 
 2-O23 
 
 9-30593 
 
 8-476 
 
 3-92 
 
 I5-334 
 
 775-6 
 
 1955 
 
 113-85815 
 
 ''55 
 
 3-03 
 
 10-924 
 
 16-441 
 
 7-11589 
 
 22-37] 
 
 0-34 
 
 10-357 
 
 II407 
 
 *1956 
 
 67-31316 
 
 0-46 
 
 2-63 
 
 0-227 
 
 14-165 
 
 4-92584 
 
 36-265 
 
 S-H 
 
 5-38i 
 
 I505-6 
 
 1957 
 
 4 2 '339 28 
 
 0-36 
 
 3" 2 3 
 
 3-053 
 
 12-889 
 
 3-73579 
 
 I -00 I 
 
 2- 5 6 
 
 1-404 
 
 1871-4 
 
 1958 
 
 3557943 
 
 1-24 
 
 2-84 
 
 4-878 
 
 10-6I3 
 
 1-54575 
 
 14-895 
 
 7-36 
 
 I3' 2 44 
 
 2236-0 
 
 1959 
 
 309-24931 
 
 0-14 
 
 2-44 
 
 6-704 
 
 S'337 
 
 16-04616 
 
 28-790 
 
 3-79 
 
 8-267 
 
 2600-8 
 
 *196O 
 
 262-70433 
 
 1-02 
 
 2-04 
 
 8-530 
 
 6-061 
 
 13-85611 
 
 42-684 
 
 0-21 
 
 3-291 
 
 2965-8 
 
 1961 
 
 23773045 
 
 0-92 
 
 2-65 
 
 11-356 
 
 4-785 
 
 12-66607 
 
 7-420 
 
 6 - oi 
 
 16-131 
 
 333 2- 
 
 1962 
 
 191-18547 
 
 I -80 
 
 2-25 
 
 0-658 
 
 2-509 
 
 10-47602 
 
 21-314 
 
 2-43 
 
 11-154 
 
 3697-2 
 
 1963 
 
 144-64048 
 
 0-70 
 
 1-85 
 
 2-484 
 
 0-233 
 
 8-28598 
 
 35-209 
 
 7' 2 3 
 
 6-177 
 
 4062-3 
 
 *1964 
 
 98-09550 
 
 1-59 
 
 1-46 
 
 4-310 
 
 14-651 
 
 6-09593 
 
 49-103 
 
 3-65 
 
 i -200 
 
 94'7 
 
 1965 
 
 73-12162 
 
 1-49 
 
 2-06 
 
 7-136 
 
 I3-375 
 
 4-90589 
 
 13-839 
 
 1-07 
 
 14-041 
 
 460-5 
 
 1966 
 
 26-57664 
 
 0-39 
 
 1-66 
 
 8-962 
 
 11-099 
 
 271584 
 
 2 7733 
 
 5-87 
 
 9-064 
 
 8*5-3 
 
 1967 
 
 340-03165 
 
 1-27 
 
 1-27 
 
 10787 
 
 8-823 
 
 0-52580 
 
 41-628 
 
 2-29 
 
 4-087 
 
 1190-3 
 
 *1968 
 
 293-48667 
 
 0-17 
 
 0-87 
 
 0-090 
 
 6-546 
 
 15-02621 
 
 5-364 
 
 7-09 
 
 15-928 
 
 IS55-0 
 
 1969 
 
 268-51279 
 
 0-07 
 
 1-47 
 
 2*916 
 
 5-270 
 
 13-83616 
 
 20-258 
 
 4'5i 
 
 11-951 
 
 1921-1 
 
 1970 
 
 221-96781 
 
 0-95 
 
 i -08 
 
 4-742 
 
 2-994 
 
 11-64612 
 
 34'iS 2 
 
 0-93 
 
 6-974 
 
 2286-3 
 
 1971 
 
 175-42282 
 
 '83 
 
 0-68 
 
 6-567 
 
 0-718 
 
 9-45607 
 
 48-047 
 
 573 
 
 1-997 
 
 2651-5 
 
 *1972 
 
 128-87784 
 
 o-73 
 
 0-28 
 
 8-393 
 
 15-136 
 
 7-26602 
 
 11783 
 
 2-15 
 
 I3-837 
 
 3016-6 
 
 1973 
 
 103-90396 
 
 0-64 
 
 0-89 
 
 1 1-219 
 
 13-860 
 
 6-07598 
 
 26-677 
 
 7'95 
 
 9-861 
 
 338 2 7 
 
 1974 
 
 57-3589 8 
 
 1-52 
 
 0-49 
 
 0-522 
 
 11-584 
 
 3-88593 
 
 40-571 
 
 4-37 
 
 4-884 
 
 3747'5 
 
 1975 
 
 10-81399 
 
 0-42 
 
 0-09 
 
 2-347 
 
 9-308 
 
 1-69589 
 
 4-308 
 
 0-79 
 
 16-724 
 
 4112-2 
 
 *1976 
 
 324-26901 
 
 1-30 
 
 4-zi 
 
 4-173 
 
 7-032 
 
 16-19630 
 
 l8'2O2 
 
 5'59 
 
 11-747 
 
 144-4 
 
 1977 
 
 299-29513 
 
 I'20 
 
 0-30 
 
 6-999 
 
 5-756 
 
 15-00625 
 
 33-096 
 
 3-01 
 
 7-771 
 
 510-8 
 
 1978 
 
 252-75015 
 
 O'lO 
 
 4-41 
 
 8-825 
 
 3-480 
 
 12-81621 
 
 46-990 
 
 7-81 
 
 2-794 
 
 875-1 
 
 1979 
 
 206-20516 
 
 0-98 
 
 4-02 
 
 10-651 
 
 1-204 
 
 10-62616 
 
 10727 
 
 4' 2 3 
 
 I4-634 
 
 1240-2 
 
 *198O 
 
 159-66018 
 
 1-86 
 
 3-6* 
 
 12-476 
 
 15-622 
 
 8-43612 
 
 24*621 
 
 0-65 
 
 9-657 
 
 1605-6 
 
 1981 
 
 134-68630 
 
 1-77 
 
 4-22 
 
 2-779 
 
 H'34 6 
 
 7-24607 
 
 39'5i5 
 
 6-45 
 
 5-681 
 
 1972-0 
 
 1982 
 
 88-14132 
 
 0-67 
 
 3-83 
 
 4-605 
 
 12-070 
 
 5-05602 
 
 3' 2 5i 
 
 2-87 
 
 0-704 
 
 2 337'3 
 
 1983 
 
 4i-59 6 33 
 
 i'5S 
 
 3-43 
 
 6-431 
 
 9794 
 
 2-86598 
 
 17-146 
 
 7-67 
 
 12-544 
 
 2702-2 
 
 *1984 
 
 355-05I35 
 
 0-45 
 
 3'3 
 
 8-256 
 
 7-518 
 
 0-67593 
 
 3 1 "040 
 
 4-09 
 
 7-567 
 
 3066-6 
 
 1985 
 
 330-07747 
 
 o-35 
 
 3-64 
 
 iro82 
 
 6-242 
 
 16-17634 
 
 45 - 934 
 
 1-52 
 
 3-59 1 
 
 343I-9 
 
 1986 
 
 283-53249 
 
 1-23 
 
 3'H 
 
 0-385 
 
 3'9 6 5 
 
 13-98630 
 
 9-670 
 
 6-32 
 
 15-431 
 
 3796-0 
 
 1987 
 
 236-98750 
 
 0-13 
 
 2-84 
 
 2-2II 
 
 1-689 
 
 11-79625 
 
 2 3'5 6 5 
 
 2 74 
 
 10-454 
 
 4160-3 
 
 *1988 
 
 190-44252 
 
 I-OI 
 
 2 '45 
 
 4-036 
 
 16-108 
 
 9-60621 
 
 37-459 
 
 7-54 
 
 S'477 
 
 192-6 
 
 1989 
 
 165-46864 
 
 0-92 
 
 3-o5 
 
 6-862 
 
 14-832 
 
 8-41616 
 
 2-195 
 
 4-96 
 
 1-501 
 
 558-8 
 
 1990 
 
 118-92366 
 
 1-80 
 
 2-65 
 
 8-688 
 
 12-555 
 
 6-22612 
 
 16-089 
 
 1-38 
 
 I3-341 
 
 9 2 4"3 
 
 1991 
 
 72-37867 
 
 0-70 
 
 2-26 
 
 10-514 
 
 10-279 
 
 4-03607 
 
 29-984 
 
 6-18 
 
 8-364 
 
 1290-1 
 
 *1992 
 
 25-83369 
 
 1-58 
 
 1-86 
 
 12-340 
 
 8-003 
 
 1-84603 
 
 43-878 
 
 2 "60 
 
 3-387 
 
 1655-8 
 
 1993 
 
 0-85981 
 
 1-48 
 
 2-46 
 
 2-642 
 
 6-727 
 
 0-65598 
 
 8-614 
 
 O'O2 
 
 16-228 
 
 2O22'3 
 
 1994 
 
 314-31483 
 
 0-38 
 
 2-07 
 
 4-468 
 
 4-451 
 
 15-15639 
 
 22-508 
 
 4-82 
 
 1 1-251 
 
 2387-4 
 
 1995 
 
 267-76984 
 
 1-26 
 
 1-67 
 
 6-294 
 
 2-175 
 
 12-96634 
 
 36-403 
 
 1-24 
 
 6-274 
 
 2752-I 
 
 *1996 
 
 221-22486 
 
 0-16 
 
 1-27 
 
 8-120 
 
 16-593 
 
 10-77630 
 
 0-139 
 
 6-04 
 
 1-297 
 
 3II6-4 
 
 1997 
 
 196-25098 
 
 0-07 
 
 1-88 
 
 10-945 
 
 15-317 
 
 9-58625 
 
 i5- 33 
 
 3-46 
 
 14-138 
 
 3481-6 
 
 1998 
 
 149-70600 
 
 0-95 
 
 1-48 
 
 0-248 
 
 13-041 
 
 7-39621 
 
 28-927 
 
 8-26 
 
 9-161 
 
 3845-9 
 
 1999 
 
 103-16101 
 
 1-83 
 
 1-08 
 
 2-074 
 
 10-765 
 
 5-20616 
 
 42*822 
 
 4-68 
 
 4-184 
 
 42IO-5 
 
 *2OOO 
 
 56-61603 
 
 073 
 
 0-69 
 
 3-900 
 
 8-489 
 
 3-01612 
 
 6-558 
 
 no 
 
 16-024 
 
 242-9 
 
 Periods 
 
 
 1-98 
 
 4-51 12-523 
 
 16-694 
 
 16-69046 
 
 50-158 
 
 8-38 
 
 16-817 
 
 433 2 '6 
 
 Constant applied to each entry in Column a : - 1 
 228 
 
SATELLITE IV 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 IX continued Values of Mean Longitude and the Arguments at Epoch 
 
 12 
 
 >3 
 
 14 15 
 
 16 
 
 '7 
 
 iS 
 
 '9 
 
 20 
 
 21 
 
 1 
 
 J 
 
 K L 
 
 M 
 
 N 
 
 
 
 P 
 
 Q 
 
 R 
 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 1950 
 
 0-4334* 
 
 o-ooo 
 
 3-29 
 
 16-2583 
 
 6-152 
 
 0-55 
 
 3-23 
 
 14-42 
 
 3-09 
 
 1951 
 
 14-96408 
 
 6-201 
 
 1-19 
 
 14-1304 
 
 4 -1I 3 
 
 12-36 
 
 13-66 
 
 13-67 
 
 16-27 
 
 *1952 
 
 12-80573 
 
 4-058 
 
 7 '44 
 
 I2-0025 
 
 2-074 
 
 7-35 
 
 7-21 
 
 12-92 
 
 12-69 
 
 1953 
 
 11-64737 
 
 2-915 
 
 6'34 
 
 10-8746 
 
 1-035 
 
 3'34 
 
 I- 7 6 
 
 13-J7 
 
 lO'II 
 
 1954 
 
 9-48901 
 
 0-772 
 
 4-24 
 
 8-7468 
 
 15-679 
 
 15-15 
 
 12-19 
 
 12-42 
 
 6-53 
 
 1955 
 
 7-33066 
 
 6-973 
 
 2-14 
 
 6-6189 
 
 13-640 
 
 10-14 
 
 574 
 
 I 1-67 
 
 2-95 
 
 *1956 
 
 5-I7230 
 
 4-829 
 
 0-04 
 
 4-49IO 
 
 ir6oi 
 
 S'H 
 
 16-18 
 
 10-92 
 
 16-I3 
 
 1957 
 
 4-01394 
 
 3-686 
 
 7-29 
 
 3-3632 
 
 10-562 
 
 1-13 
 
 10-73 
 
 11-17 
 
 '3'55 
 
 1958 
 
 '85559 
 
 543 
 
 5-19 
 
 1-2353 
 
 8-523 
 
 12-94 
 
 4-27 
 
 10-42 
 
 9'97 
 
 1959 
 
 16-38624 
 
 7744 
 
 3-09 
 
 157950 
 
 6-484 
 
 7-93 
 
 1471 
 
 9-67 
 
 6-39 
 
 *1960 
 
 14-22789 
 
 5-601 
 
 0-99 
 
 13-6672 
 
 4H45 
 
 2-92 
 
 8-26 
 
 8-92 
 
 2-82 
 
 1961 
 
 13-06953 
 
 4-458 
 
 8-23 
 
 12-5393 
 
 3-406 
 
 '573 
 
 2-81 
 
 9-17 
 
 0-2 4 
 
 1962 
 
 lO-gi 1 17 
 
 *'3 i 5 
 
 6-14 
 
 IO-4I 14 
 
 1-367 
 
 1072 
 
 13-24 
 
 8- 4 2 
 
 I3-4I 
 
 1963 
 
 8-75282 
 
 0-172 
 
 4-04 
 
 8-2836 
 
 16-012 
 
 571 
 
 6-79 
 
 7-6 7 
 
 9-84 
 
 *1964 
 
 6-59446 
 
 6-373 
 
 1-94 
 
 6-1557 
 
 "3-973 
 
 0-70 
 
 o-34 
 
 6-92 
 
 6-26 
 
 1965 
 
 5-436IO 
 
 5-230 
 
 0-84 
 
 5-0278 
 
 12-934 
 
 I3-5 1 
 
 11-77 
 
 7-17 
 
 3'68 
 
 1966 
 
 3-27775 
 
 3-086 
 
 7-08 
 
 2-9000 
 
 10-895 
 
 8-50 
 
 5'3* 
 
 6-42 
 
 o-io 
 
 1967 
 
 1-11939 
 
 o-943 
 
 4-99 
 
 07721 
 
 8-856 
 
 3-49 
 
 1575 
 
 5-6 7 
 
 13-28 
 
 *1968 
 
 15-65005 
 
 7-I44 
 
 2-89 
 
 I5'33i8 
 
 6-817 
 
 15-30 
 
 9'30 
 
 4-92 
 
 9-70 
 
 1969 
 
 14-49169 
 
 6-001 
 
 1-79 
 
 14-2040 
 
 5778 
 
 11-29 
 
 3-85 
 
 5-17 
 
 7-12 
 
 197O 
 
 "33333 
 
 3-858 
 
 8-03 
 
 12-0761 
 
 3739 
 
 6-28 
 
 14-28 
 
 4'43 
 
 3-54 
 
 1971 
 
 10-17498 
 
 1-715 
 
 5'93 
 
 9-9482 
 
 1-700 
 
 1-28 
 
 7-83 
 
 3-68 
 
 16-72 
 
 *1972 
 
 8-01662 
 
 7-916 
 
 3-83 
 
 7-8204 
 
 I6-344 
 
 13-09 
 
 1-38 
 
 2-93 
 
 13-14 
 
 1973 
 
 6-85826 
 
 6-773 
 
 2'74 
 
 6-6925 
 
 J5-305 
 
 9-08 
 
 12-82 
 
 3-i8 
 
 10-56 
 
 1974 
 
 4-69991 
 
 4-630 
 
 0-64 
 
 4-5646 
 
 13-266 
 
 4-07 
 
 6-36 
 
 2-43 
 
 6-98 
 
 1975 
 
 2-54155 
 
 2-486 
 
 6-88 
 
 2-4367 
 
 11-227 
 
 15-88 
 
 16-80 
 
 1-68 
 
 3-41 
 
 *1976 
 
 0-38319 
 
 o-343 
 
 478 
 
 0*3089 
 
 9-188 
 
 10-87 
 
 JO'35 
 
 0-93 
 
 16-58 
 
 1977 
 
 15-91385 
 
 7-544 
 
 3-68 
 
 15-8686 
 
 8-149 
 
 6-86 
 
 4-90 
 
 1-18 
 
 14-00 
 
 1978 
 
 13-75550 
 
 5-401 
 
 1-59 
 
 13-7408 
 
 6-no 
 
 1-85 
 
 I5-33 
 
 o-43 
 
 10-43 
 
 1979 
 
 11-59714 
 
 3-258 
 
 7-83 
 
 11-6129 
 
 4-071 
 
 13-66 
 
 8-88 
 
 16-30 
 
 6-85 
 
 *1980 
 
 9-43878 
 
 1-115 
 
 573 
 
 9-4850 
 
 2-032 
 
 8-65 
 
 2-43 
 
 15-56 
 
 3-27 
 
 1981 
 
 8-28042 
 
 8-316 
 
 4-63 
 
 8-3572 
 
 0-993 
 
 4-64 
 
 13-86 
 
 15-81 
 
 0-69 
 
 1982 
 
 6-12207 
 
 6-173 
 
 2-53 
 
 6-2293 
 
 15-638 
 
 16-45 
 
 7-41 
 
 15-06 
 
 13-87 
 
 1983 
 
 3'9 6 37' 
 
 4-030 
 
 0-44 
 
 4-1014 
 
 I3-599 
 
 11-44 
 
 0-96 
 
 14-31 
 
 10-29 
 
 *1984 
 
 1-80535 
 
 1-887 
 
 6-68 
 
 1-9735 
 
 11-559 
 
 6-43 
 
 11-39 
 
 13-56 
 
 6-71 
 
 1985 
 
 0-64700 
 
 0-743 
 
 5-58 
 
 0-8457 
 
 10-520 
 
 2-42 
 
 5-94 
 
 13-81 
 
 4-13 
 
 1986 
 
 15-17766 
 
 6-944 
 
 3-48 
 
 15-4054 
 
 8-481 
 
 14-23 
 
 16-37 
 
 13-06 
 
 0-55 
 
 1987 
 
 13-01930 
 
 4-801 
 
 1-38 
 
 13-2776 
 
 6-442 
 
 9-23 
 
 9-92 
 
 12-31 
 
 f 
 
 1373 
 
 *1988 
 
 10-86094 
 
 2-658 
 
 7-63 
 
 11-1497 
 
 4-403 
 
 4-22 
 
 3-47 
 
 11-56 
 
 10-15 
 
 1989 
 
 9-70259 
 
 1-515 
 
 6-53 
 
 IO'02l8 
 
 3-364 
 
 0-21 
 
 14-91 
 
 1 1-81 
 
 f 
 
 7-57 
 
 1990 
 
 7-54423 
 
 7-716 
 
 4-43 
 
 7-8940 
 
 1-325 
 
 12-02 
 
 8-45 
 
 1 1 -06 
 
 3-99 
 
 1991 
 
 5-38587 
 
 5"573 
 
 *-33 
 
 5-7661 
 
 15-970 
 
 7'O1 
 
 2-OO 
 
 10-31 
 
 0-42 
 
 *1992 
 
 3'2275i 
 
 3-430 
 
 0-23 
 
 3-6382 
 
 I3-93' 
 
 2-OO 
 
 12-44 
 
 9-56 
 
 O 
 
 13-59 
 
 1993 
 
 2-06916 
 
 2-287 
 
 7-48 
 
 2-5103 
 
 12-892 
 
 I4-8I 
 
 6-99 
 
 9-81 
 
 I I'OI 
 
 1994 
 
 16-59982 
 
 0-144 
 
 5-38 
 
 0-3825 
 
 10-853 
 
 9-80 
 
 o-54 
 
 9-06 
 
 8_ _ 
 
 7-44 
 
 - ,n 
 
 1995 
 
 14-44146 
 
 6-345 
 
 3-28 
 
 14-9422 
 
 8-814 
 
 479 
 
 10-97 
 
 3i 
 
 3 *o 
 
 *1996 
 
 12-28310 
 
 4-201 
 
 1-18 
 
 12-8144 
 
 6-775 
 
 i6'6o 
 
 4-52 
 
 7-56 
 
 0-28 
 
 1997 
 1998 
 
 11-12475 
 8-96639 
 
 3-058 
 0-915 
 
 0-08 
 6-33 
 
 11-6865 
 9-5586 
 
 5736 
 3-697 
 
 12-59 
 7-58 
 
 15-95 
 9-50 
 
 7-81 
 7-06 
 
 4'45 
 10-88 
 
 1999 
 *2000 
 
 6-80803 
 4-64968 
 
 7-1 16 
 4-973 
 
 4-23 
 2-13 
 
 7-4307 
 5-3029 
 
 1-658 
 16-302 
 
 2-57 
 14-38 
 
 3-o5 
 13-48 
 
 32 
 
 5'57 
 
 7'3 
 372 
 
 Periods 
 
 16-68902 
 
 8-344 
 
 8-34 
 
 16-6876 
 
 16-684 
 
 16-82 
 
 1 6-88 
 
 16-62 
 
 i6-75 
 
 To obtain the True Longitude, reduced to Jupiter's Orbit, the entries of Column 2 must be supplemented by the equations of Tables Xll-XXill. 
 
 Z29 
 
X 
 
 SATELLITE IV 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 Motions of Mean Longitude and the Arguments for Days 
 
 I 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 s 
 
 9 
 
 10 
 
 ii 
 
 Day 
 
 Mean Long. 
 
 A 
 
 B 
 
 c 
 
 D 
 
 E 
 
 F 
 
 G 
 
 H 
 
 a 
 
 
 o 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 Jan. i 
 
 21-57111 
 
 I'OO 
 
 i-oo 
 
 I'OOO 
 
 rooo 
 
 I'OOOOO 
 
 rooo 
 
 I'OO 
 
 i-ooo 
 
 i-o 
 
 2 
 
 43-14222 
 
 O-O2 
 
 2"OO 
 
 2'QOO 
 
 2-000 
 
 Z'OOOOO 
 
 2'OOO 
 
 2-OO 
 
 2'OOO 
 
 2'0 
 
 3 
 
 6 47'333 
 
 1-02 
 
 3-OO 
 
 3-OOO 
 
 3-000 
 
 3-00000 
 
 3-000 
 
 3-00 
 
 3-OOO 
 
 3-0 
 
 4 
 
 86-28444 
 
 O-O4 
 
 4-OO 
 
 4'OOO 
 
 4-000 
 
 4-00000 
 
 4-000 
 
 4-00 
 
 4"OOO 
 
 4'0 
 
 5 
 
 107-85555 
 
 1-04 
 
 0-49 
 
 5'DOO 
 
 5-000 
 
 5-00000 
 
 5-000 
 
 5-00 
 
 5-OOO 
 
 5-0 
 
 6 
 
 129-42666 
 
 o'o6 
 
 I'49 
 
 6'ooo 
 
 6'ooo 
 
 6-00000 
 
 6-000 
 
 6'oo 
 
 6-000 
 
 6-0 
 
 7 
 
 150-99777 
 
 i -06 
 
 2-49 
 
 7-000 
 
 7-000 
 
 7-00000 
 
 7-000 
 
 7-00 
 
 7-000 
 
 7-0 
 
 8 
 
 172-56888 
 
 0-08 
 
 3'49 
 
 8-000 
 
 8-000 
 
 8-00000 
 
 8-000 
 
 8-00 
 
 8-000 
 
 8-0 
 
 9 
 
 194-13999 
 
 i -08 
 
 4^9 
 
 9-000 
 
 9-000 
 
 9-00000 
 
 9-000 
 
 0-62 
 
 9-000 
 
 9-0 
 
 1O 
 
 215-71110 
 
 O'll 
 
 0-98 
 
 10-000 
 
 lO'OOO 
 
 10-00000 
 
 10-000 
 
 1-62 
 
 10-000 
 
 1 0-0 
 
 
 
 11 
 
 237-28221 
 
 I'll 
 
 1-98 
 
 II-OOO 
 
 1 1 -OOO 
 
 II-OOOOO 
 
 I I -OOO 
 
 2-62 
 
 II-OOO 
 
 iro 
 
 12 
 
 258-85332 
 
 0-13 
 
 2-98 
 
 12-000 
 
 12'OOQ 
 
 12-00000 
 
 I 2 -OOO 
 
 3-62 
 
 12-000 
 
 I2'O 
 
 13 
 
 280-42443 
 
 1-13 
 
 3'9 8 
 
 0-477 
 
 13-000 
 
 13-00000 
 
 13-000 
 
 4-62 
 
 I3-OOO 
 
 13-0 
 
 14 
 
 30I-99553 
 
 0-15 
 
 0-47 
 
 1-477 
 
 14-000 
 
 14-00000 
 
 14-000 
 
 5-62 
 
 I4-OOO 
 
 14-0 
 
 15 
 
 323-56664 
 
 1-15 
 
 I'47 
 
 2-477 
 
 15-000 
 
 15-00000 
 
 15-000 
 
 6-62 
 
 I5-000 
 
 15-0 
 
 16 
 
 345'i3775 
 
 0-17 
 
 2-47 
 
 3"477 
 
 i6'ooo 
 
 16-00000 
 
 16-000 
 
 7-62 
 
 l6'OOO 
 
 1 6-0 
 
 17 
 
 6-70886 
 
 1-17 
 
 3'47 
 
 4'477 
 
 0-306 
 
 0-30954 
 
 17-000 
 
 0-25 
 
 0-183 
 
 17-0 
 
 18 
 
 28-27997 
 
 0-19 
 
 4-47 
 
 S'477 
 
 1-306 
 
 1-30954 
 
 18-000 
 
 1-25 
 
 IM83 
 
 1 8-0 
 
 19 
 
 49-85108 
 
 1-19 
 
 0-96 
 
 6-477 
 
 2-306 
 
 2-30954 
 
 19-000 
 
 2-25 
 
 2-183 
 
 19-0 
 
 2O 
 
 71-42219 
 
 0-21 
 
 1-96 
 
 7-477 
 
 3-306 
 
 3-30954 
 
 20-000 
 
 3-25 
 
 3-I83 
 
 2O'O 
 
 21 
 
 92-99330 
 
 I -2 I 
 
 2-96 
 
 8-477 
 
 4-306 
 
 4-30954 
 
 2 I -OOO 
 
 4-25 
 
 4-I83 
 
 21-0 
 
 22 
 
 114-56441 
 
 0-23 
 
 3'9 6 
 
 9'477 
 
 5-306 
 
 5-30954 
 
 22-000 
 
 5 >2 5 
 
 5-I83 
 
 22-O 
 
 23 
 
 136-13552 
 
 1-23 
 
 0-44 
 
 10-477 
 
 6-306 
 
 6-30954 
 
 23-000 
 
 6-25 
 
 6-183 
 
 23-0 
 
 24 
 
 157-70663 
 
 0-25 
 
 1-44 
 
 11-477 
 
 7-306 
 
 7-30954 
 
 24-000 
 
 7^5 
 
 7-183 
 
 24-0 
 
 25 
 
 179-27774 
 
 1-25 
 
 2-44 
 
 12-477 
 
 8-306 
 
 8-30954 
 
 25-000 
 
 8-25 
 
 8-183 
 
 25-0 
 
 26 
 
 200-84885 
 
 0-27 
 
 3'44 
 
 0-954 
 
 9-306 
 
 9-30954 
 
 26-000 
 
 0-87 
 
 9-I83 
 
 26-O 
 
 27 
 
 222-41996 
 
 1-27 
 
 4'44 
 
 '"954 
 
 10-306 
 
 10-30954 
 
 27-000 
 
 1-87 
 
 IO-I83 
 
 27-0 
 
 28 
 
 243-99107 
 
 0-30 
 
 0-93 
 
 2-954 
 
 11-306 
 
 11-30954 
 
 28-000 
 
 2-87 
 
 II-I83 
 
 28-0 
 
 29 
 
 265-56218 
 
 I-30 
 
 i'93 
 
 3'954 
 
 12-306 
 
 12-30954 
 
 29-000 
 
 3-87 
 
 I2-I83 
 
 29-0 
 
 3O 
 
 287-13329 
 
 0-32 
 
 2-93 
 
 4-954 
 
 13-306 
 
 13-30954 
 
 30-000 
 
 4-87 
 
 13-183 
 
 30-0 
 
 31 
 
 308-70440 
 
 I-32 
 
 3'93 
 
 5-954 
 
 14-306 
 
 14-30954 
 
 3 1 -ooo 
 
 5-87 
 
 14-183 
 
 31-0 
 
 Feb. 1 
 
 330-27551 
 
 0'34 
 
 0-42 
 
 6-954 
 
 15-306 
 
 15-30954 
 
 32-000 
 
 6-87 
 
 I5-I83 
 
 32-0 
 
 2 
 
 351-84662 
 
 "'34 
 
 1-42 
 
 7*954 
 
 16-306 
 
 16-30954 
 
 33-000 
 
 7-87 
 
 16-183 
 
 33-o 
 
 3 
 
 I3-4J773 
 
 0-36 
 
 2-42 
 
 8-954 
 
 0-611 
 
 0-61909 
 
 34-000 
 
 0-49 
 
 0-366 
 
 34' 
 
 4 
 
 34-98884 
 
 I- 3 6 
 
 3'4* 
 
 9-954 
 
 i '6 1 1 
 
 1-61909 
 
 35-000 
 
 1-49 
 
 1-366 
 
 35-o 
 
 5 
 
 S 6 '55995 
 
 0-J8 
 
 4-42 
 
 10-954 
 
 2-611 
 
 2-61909 
 
 36-000 
 
 2-49 
 
 2-366 
 
 36-0 
 
 6 
 
 78-13106 
 
 I- 3 8 
 
 0-91 
 
 11-954 
 
 3-611 
 
 3-61909 
 
 37-000 
 
 3-49 
 
 3-366 
 
 37-0 
 
 7 
 
 99-70217 
 
 0-40 
 
 1-91 
 
 0-430 
 
 4-611 
 
 4-61909 
 
 38-000 
 
 4'49 
 
 4-366 
 
 38-0 
 
 8 
 
 121-27328 
 
 I-40 
 
 2-91 
 
 1-43 
 
 5-611 
 
 5-61909 
 
 39-000 
 
 5-49 
 
 5-366 
 
 39-0 
 
 9 
 
 142-84439 
 
 0-42 
 
 3-91 
 
 2-430 
 
 6-611 
 
 6-61909 
 
 40-000 
 
 6-49 
 
 6-366 
 
 40-0 
 
 10 
 
 164-41549 
 
 I- 4 2 
 
 0-40 
 
 3-430 
 
 7-611 
 
 7-61909 
 
 41-000 
 
 7-49 
 
 7 -366 
 
 41-0 
 
 11 
 
 185-98660 
 
 0-44 
 
 1-40 
 
 4H30 
 
 8-611 
 
 8-61909 
 
 42-000 
 
 O'I2 
 
 8-366 
 
 42-0 
 
 12 
 
 207-55771 
 
 1-44 
 
 2-40 
 
 5'43 
 
 9-61 1 
 
 9-61909 
 
 43-000 
 
 I'M 
 
 9-366 
 
 43-o 
 
 13 
 
 229*12882 
 
 0-46 
 
 3'4 
 
 6-430 
 
 10-611 
 
 10-61909 
 
 44-000 
 
 2*12 
 
 10-366 
 
 44-0 
 
 14 
 
 250-69993 
 
 1-46 
 
 4-40 
 
 7-430 
 
 11-611 
 
 11-61909 
 
 45-000 
 
 3-12 
 
 11-366 
 
 45-0 
 
 15 
 
 272-27104 
 
 0-49 
 
 0-89 
 
 8-430 
 
 I 2 '6 1 I 
 
 12-61909 
 
 46-000 
 
 4-12 
 
 12-366 
 
 46-0 
 
 16 
 
 293-84215 
 
 1-49 
 
 1-89 
 
 9-430 
 
 13-611 
 
 13-61909 
 
 47-000 
 
 5-12 
 
 13-366 
 
 47-0 
 
 17 
 
 315-41326 
 
 0-5I 
 
 2-89 
 
 10-430 
 
 14-611 
 
 14-61909 
 
 48-000 
 
 6-12 
 
 14-366 
 
 48-0 
 
 18 
 
 336-98437 
 
 I-5I 
 
 3-89 
 
 11-430 
 
 15-611 
 
 15-61909 
 
 49-000 
 
 7-12 
 
 15-366 
 
 49" 
 
 19 
 
 35 8 '5554 8 
 
 '53 
 
 0-38 
 
 12-430 
 
 1 6-6 1 1 
 
 16-61909 
 
 50-000 
 
 8-12 
 
 16-366 
 
 50-0 
 
 20 
 
 20-12659 
 
 I'S3 
 
 1-38 
 
 0-907 
 
 0-917 
 
 0-92863 
 
 0-842 
 
 0-74 
 
 0-549 
 
 51-0 
 
 21 
 
 41-69770 
 
 0-55 
 
 2-38 
 
 1-907 
 
 1-917 
 
 1-92863 
 
 1-842 
 
 174 
 
 1-549 
 
 52-0 
 
 22 
 
 63-26881 
 
 i-55 
 
 3-38 
 
 2-907 
 
 2-917 
 
 2-92863 
 
 2-842 
 
 2-74 
 
 2-549 
 
 53-o 
 
 In Leap Year diminish the date in Columns i, 12, by j day after Feb. 28. 
 zjo 
 
X 
 
 SATELLITE IV 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 Motions of Mean Longitude and the Arguments for Days 
 
 12 
 
 >3 
 
 14 15 
 
 16 
 
 17 
 
 18 
 
 '9 
 
 20 
 
 21 
 
 22 
 
 Day 
 
 1 
 
 J 
 
 K 
 
 L 
 
 M 
 
 N 
 
 
 
 P 
 
 Q 
 
 R 
 
 y 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 Jan. 1 
 
 O'O 
 
 i -ooooo 
 
 I'OOO 
 
 I-OO 
 
 I-OOOO 
 
 I'OOO 
 
 roo 
 
 I'OO 
 
 roo 
 
 roo 
 
 2 
 
 O'O 
 
 2-OOOOO 
 
 2'OOO 
 
 2'OO 
 
 2'OOQO 
 
 2'OOO 
 
 2'OO 
 
 2'OO 
 
 2-00 
 
 2'OO 
 
 3 
 
 o-o 
 
 3-00000 
 
 3-000 
 
 3'oo 
 
 3-0000 
 
 3-OOO 
 
 3-00 
 
 3-00 
 
 3-00 
 
 3-00 
 
 4 
 
 O'O 
 
 4-00000 
 
 4-000 
 
 4-00 
 
 4-0000 
 
 4'ooo 
 
 4-00 
 
 4-00 
 
 4-00 
 
 4-00 
 
 5 
 
 O'O 
 
 5-00000 
 
 5-000 
 
 5-00 
 
 5-0000 
 
 5-000 
 
 5-00 
 
 5'00 
 
 5-00 
 
 5-00 
 
 6 
 
 O'O 
 
 6 'ooooo 
 
 6"ooo 
 
 6'oo 
 
 6-0000 
 
 6-000 
 
 6'oo 
 
 6 'oo 
 
 6-00 
 
 6 - oo 
 
 7 
 
 O'O 
 
 7-00000 
 
 7-000 
 
 7-00 
 
 7-0000 
 
 7-000 
 
 7-00 
 
 7-00 
 
 7-00 
 
 7-00 
 
 8 
 
 o-o 
 
 8 'ooooo 
 
 S'ooo 
 
 8-00 
 
 S'oooo 
 
 S'ooo 
 
 8-00 
 
 8-00 
 
 8-00 
 
 8-00 
 
 9 
 
 o-o 
 
 9-00000 
 
 0-656 
 
 0-66 
 
 9-0000 
 
 9-000 
 
 9-00 
 
 9-00 
 
 9 - oo 
 
 9-00 
 
 1O 
 
 O'O 
 
 lO'OOOOO 
 
 1-656 
 
 1-66 
 
 lO'OOOO 
 
 10-000 
 
 10-00 
 
 10-00 
 
 lO'OO 
 
 lO'OO 
 
 11 
 
 O'O 
 
 I I -QOOOO 
 
 2-656 
 
 2-66 
 
 I I'OOOO 
 
 1 1 'OOO 
 
 I I'OO 
 
 II-OO 
 
 II'OO 
 
 11-00 
 
 12 
 
 O'O 
 
 I2'OOOOO 
 
 3-656 
 
 3-66 
 
 I2'OOOO 
 
 I2'OOO 
 
 iz-oo 
 
 I2'OO 
 
 I2-OO 
 
 I2'00 
 
 13 
 
 O'O 
 
 13-00000 
 
 4-656 
 
 4-66 
 
 13-0000 
 
 13-000 
 
 13-00 
 
 I3'OO 
 
 13-00 
 
 13-00 
 
 14 
 
 O'O 
 
 14-00000 
 
 5-656 
 
 5-66 
 
 14-0000 
 
 14-000 
 
 14-00 
 
 I4-OO 
 
 14-00 
 
 14-00 
 
 15 
 
 O'O 
 
 15-00000 
 
 6-656 
 
 6-66 
 
 15-0000 
 
 15-000 
 
 15-00 
 
 I5-OO 
 
 15-00 
 
 15-00 
 
 16 
 
 O'O 
 
 1 6 'ooooo 
 
 7-656 
 
 7-66 
 
 16-0000 
 
 i6'ooo 
 
 i6'oo 
 
 1 6 'oo 
 
 16-00 
 
 1 6-00 
 
 17 
 
 O'O 
 
 0-31098 
 
 0-312 
 
 0-31 
 
 0-3124 
 
 0*316 
 
 0-18 
 
 0-12 
 
 0-38 
 
 0-25 
 
 18 
 
 o-o 
 
 1-31098 
 
 1-312 
 
 
 1-3124 
 
 1-316 
 
 1-18 
 
 I-IZ 
 
 1-38 
 
 1-25 
 
 19 
 
 O'l 
 
 2-31098 
 
 2-312 
 
 2-31 
 
 2-3124 
 
 2-316 
 
 2'l8 
 
 2-12 
 
 2-38 
 
 2-25 
 
 20 
 
 O'l 
 
 3-31098 
 
 3-312 
 
 
 3-3124 
 
 3-316 
 
 3-18 
 
 3-12 
 
 3'38 
 
 3'*5 
 
 21 
 
 O'l 
 
 4-31098 
 
 4-312 
 
 4-31 
 
 4-3124 
 
 4-316 
 
 4-18 
 
 4-iz 
 
 4-38 
 
 4'*5 
 
 22 
 
 O'l 
 
 5-31098 
 
 5-312 
 
 5-31 
 
 5-3124 
 
 5-316 
 
 5-18 
 
 5-iz 
 
 5-38 
 
 5-25 
 
 23 
 
 O'l 
 
 6-31098 
 
 6-312 
 
 6-31 
 
 6-3124 
 
 6-316 
 
 6-18 
 
 6-12 
 
 6-38 
 
 6-25 
 
 24 
 
 O'l 
 
 7-31098 
 
 7-312 
 
 7-31 
 
 7'3 I2 4 
 
 7-316 
 
 7-18 
 
 7-12 
 
 7-38 
 
 7-25 
 
 25 
 
 o-i 
 
 8-31098 
 
 8-312 
 
 8-31 
 
 8-3124 
 
 8-316 
 
 8-18 
 
 8'12 
 
 8-38 
 
 8-25 
 
 26 
 
 O'l 
 
 9-31098 
 
 0-968 
 
 0'97 
 
 9-3124 
 
 9-316 
 
 9-18 
 
 9-12 
 
 9-38 
 
 9-25 
 
 27 
 
 O'l 
 
 10-31098 
 
 1-968 
 
 1-97 
 
 10-3124 
 
 10-316 
 
 10-18 
 
 IO'I2 
 
 10-38 
 
 10-25 
 
 28 
 
 O'l 
 
 1 1-31098 
 
 2-968 
 
 2-97 
 
 11-3124 
 
 11-316 
 
 11-18 
 
 II'I2 
 
 11-38 
 
 11-25 
 
 29 
 
 O'l 
 
 12-31098 
 
 3-968 
 
 3-97 
 
 12-3124 
 
 12-316 
 
 12-18 
 
 I2'I2 
 
 12-38 
 
 12-25 
 
 30 
 
 O'l 
 
 13-31098 
 
 4-968 
 
 4-97 
 
 13-3124 
 
 13-316 
 
 13-18 
 
 I3'I2 
 
 13-38 
 
 13-25 
 
 31 
 
 O'l 
 
 14-31098 
 
 5-968 
 
 5-97 
 
 14-3124 
 
 14-316 
 
 14-18 
 
 14-12 
 
 14-38 
 
 14-25 
 
 Feb. 1 
 2 
 
 o-i 
 
 O'l 
 
 15-31098 
 16-31098 
 
 6-968 
 7-968 
 
 6-97 
 7-97 
 
 15-3124 
 16-3124 
 
 15-316 
 
 16-316 
 
 15-18 
 16-18 
 
 15-12 
 
 l6'I2 
 
 I5-38 
 16-38 
 
 15-25 
 
 3 
 
 O'l 
 
 0-62197 
 
 0-623 
 
 
 0-6247 
 
 0-633 
 
 0-36 
 
 0-23 
 
 0-75 
 
 0-49 
 
 4 
 
 O'l 
 
 1-62197 
 
 1-623 
 
 -63 
 
 1-6247 
 
 1-633 
 
 1-36 
 
 1-23 
 
 1-75 
 
 1-49 
 
 5 
 
 O'l 
 
 2-62197 
 
 2-623 
 
 2-63 
 
 2-6247 
 
 2-633 
 
 z- 3 6 
 
 2-23 
 
 275 
 
 2-49 
 
 6 
 
 O'l 
 
 3-62197 
 
 3-623 
 
 3-63 
 
 3-6247 
 
 3-633 
 
 3-36 
 
 3-23 
 
 375 
 
 3'49 
 
 7 
 
 O'l 
 
 4-62197 
 
 
 4-63 
 
 4-6247 
 
 4-633 
 
 4-36 
 
 4' 2 3 
 
 4'75 
 
 4'49 
 
 8 
 9 
 
 o-i 
 
 O'l 
 
 5-62197 
 
 6-62197 
 
 5-623 
 6-623 
 
 5-63 
 6-63 
 
 5-6247 
 6-6247 
 
 6-633 
 
 6-36 
 
 5-23 
 6'2 3 
 
 575 
 675 
 
 5-49 
 6-49 
 
 10 
 11 
 
 O'l 
 O'l 
 
 7-62197 
 8-62197 
 
 7-623 
 0-279 
 
 7-63 
 0-28 
 
 7-6247 
 8-6247 
 
 8-633 
 
 8-36 
 
 7-23 
 8-23 
 
 775 
 875 
 
 7'49 
 8 -49 
 
 12 
 13 
 14 
 
 O'l 
 O'l 
 O'l 
 
 9-62197 
 10-62197 
 11-62197 
 
 1-279 
 2-279 
 
 1-28 
 2-28 
 3-28 
 
 9-6247 
 10-6247 
 11-6247 
 
 10-633 
 11-633 
 
 9-36 
 10-36 
 11-36 
 
 9-23 
 10-23 
 11-23 
 
 975 
 10-75 
 1175 
 
 9'49 
 10-49 
 11-49 
 
 15 
 16 
 17 
 18 
 19 
 
 O'l 
 O'l 
 
 o-i 
 
 O'l 
 O'l 
 
 12-62197 
 
 13-62197 
 
 14-62197 
 
 15-62197 
 
 16-62197 
 
 4-279 
 5-279 
 6-279 
 
 7-279 
 8-279 
 
 4-28 
 5-28 
 6-28 
 7-28 
 8-28 
 
 12-6247 
 13-6247 
 14-6247 
 15-6247 
 16-6247 
 
 12-633 
 13-633 
 14633 
 15-633 
 16-633 
 
 12-36 
 13-36 
 
 14-36 
 
 15-36 
 16-36 
 
 12-23 
 13-23 
 14-23 
 15-23 
 16-23 
 
 1275 
 1375 
 H75 
 
 1575 
 o'l 3 
 
 12-49 
 13-49 
 
 I4-49 
 15-49 
 16-49 
 
 20 
 
 o-i 
 
 0-93295 
 
 0-935 
 
 0-94 
 
 0-9371 
 
 0'949 
 
 0-54 
 
 0-35 
 
 1-13 
 
 0-74 
 
 21 
 
 o-i 
 
 1-93295 
 
 
 1-94 
 
 I-937I 
 
 1-949 
 
 ''54 
 
 '"35 
 
 2-13 
 
 i"74 
 
 22 
 
 o-i 
 
 2-93295 
 
 2-935 
 
 2-94 
 
 2-9371 
 
 2-949 
 
 2-54 
 
 2-35 
 
 3-13 
 
 274 
 
 In Leap Year diminih the date in Columns i, 12, by i day after Feb. 28. 
 2JI 
 
SATELLITE IV 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 X continued Motions of Mean Longitude and the Arguments for Days 
 
 I 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 IO 
 
 ii 
 
 Day 
 
 Mean Long. 
 
 A 
 
 B 
 
 c 
 
 D 
 
 E 
 
 F 
 
 G 
 
 H 
 
 a 
 
 
 
 
 a. 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 Feb. 23 
 
 84-83992 
 
 0-57 
 
 4-38 
 
 3-907 
 
 3'9'7 
 
 3-92863 
 
 3^42 
 
 374 
 
 3-549 
 
 54-o 
 
 24 
 
 106-41103 
 
 1-57 
 
 0-87 
 
 4-907 
 
 4'9 '7 
 
 4-92863 
 
 4-842 
 
 4-74 
 
 4-549 
 
 55-0 
 
 25 
 
 127-98214 
 
 0-59 
 
 I-8 7 
 
 5-907 
 
 5-917 
 
 5-92863 
 
 5-842 
 
 5'74 
 
 5'549 
 
 56-0 
 
 26 
 
 149-55325 
 
 1-59 
 
 2-8 7 
 
 6-907 
 
 6-917 
 
 6-92863 
 
 6-842 
 
 674 
 
 6-549 
 
 57-o 
 
 27 
 
 171-12436 
 
 0-61 
 
 3-87 
 
 7-907 
 
 7-917 
 
 7-92863 
 
 7-842 
 
 774 
 
 7-549 
 
 58-0 
 
 28 
 
 192-69547 
 
 1-61 
 
 0-36 
 
 8-907 
 
 8-917 
 
 8-92863 
 
 8-842 
 
 0-36 
 
 8-549 
 
 59-0 
 
 Mar. 1 
 
 214-26658 
 
 0-63 
 
 1-36 
 
 9-907 
 
 9-917 
 
 9-92863 
 
 9-842 
 
 1-36 
 
 9'549 
 
 6o - o 
 
 2 
 
 235-83769 
 
 1-63 
 
 2-36 
 
 10-907 
 
 10-917 
 
 10-92863 
 
 10-842 
 
 2-36 
 
 10-549 
 
 6ro 
 
 3 
 
 257-40880 
 
 0-65 
 
 3-36 
 
 II-907 
 
 11-917 
 
 11-92863 
 
 11-842 
 
 3-36 
 
 11-549 
 
 62-0 
 
 4 
 
 278-97991 
 
 1-65 
 
 4-36 
 
 0-384 
 
 12-917 
 
 12-92863 
 
 12-842 
 
 4-36 
 
 12-549 
 
 63-0 
 
 5 
 
 300-55102 
 
 0-67 
 
 0-85 
 
 I-384 
 
 13-917 
 
 13-92863 
 
 I3-842 
 
 5-36 
 
 !3'549 
 
 64-0 
 
 6 
 
 322-12213 
 
 1-67 
 
 1-85 
 
 2-384 
 
 14-917 
 
 14-92863 
 
 14-842 
 
 6-36 
 
 I4-549 
 
 65-0 
 
 7 
 
 343-69324 
 
 0-70 
 
 2-85 
 
 3-384 
 
 15-917 
 
 15-92863 
 
 15-842 
 
 7-36 
 
 I5-549 
 
 66-0 
 
 8 
 
 5-2435 
 
 170 
 
 3-85 
 
 4-384 
 
 0-223 
 
 0-23817 
 
 16-842 
 
 8-36 
 
 16-549 
 
 67-0 
 
 9 
 
 26-83545 
 
 072 
 
 o-33 
 
 5-384 
 
 1-223 
 
 1-23817 
 
 17-842 
 
 0-99 
 
 0731 
 
 68-0 
 
 1O 
 
 48-40656 
 
 1-72 
 
 1-33 
 
 6-384 
 
 2-223 
 
 2-23817 
 
 18-842 
 
 1-99 
 
 i73i 
 
 69-0 
 
 11 
 
 69-97767 
 
 074 
 
 z'33 
 
 7-384 
 
 3-223 
 
 3-238I7 
 
 19-842 
 
 2'99 
 
 2731 
 
 70-0 
 
 12 
 
 91-54878 
 
 '74 
 
 3'33 
 
 8-384 
 
 4-223 
 
 4-23817 
 
 20-842 
 
 3-99 
 
 373' 
 
 71-0 
 
 13 
 
 113-1 1989 
 
 076 
 
 4'33 
 
 9-3 8 4 
 
 5-223 
 
 5-23817 
 
 21-842 
 
 4'99 
 
 473i 
 
 72-0 
 
 14 
 
 134-69100 
 
 1-76 
 
 0-82 
 
 10-384 
 
 6-223 
 
 6-23817 
 
 22-842 
 
 5-99 
 
 5731 
 
 73-0 
 
 15 
 
 156-26211 
 
 0-78 
 
 1-82 
 
 11-384 
 
 7-223 
 
 7'238i7 
 
 23-842 
 
 6-99 
 
 6731 
 
 74' 
 
 16 
 
 177-83322 
 
 178 
 
 2-82 
 
 12-384 
 
 8-223 
 
 8-23817 
 
 24*842 
 
 7-99 
 
 773i 
 
 75-0 
 
 17 
 
 199-40433 
 
 0-80 
 
 3-82 
 
 0-861 
 
 9-223 
 
 9-23817 
 
 25-842 
 
 0-61 
 
 8-731 
 
 76-0 
 
 18 
 
 220-97544 
 
 1-80 
 
 0-31 
 
 1-861 
 
 10-223 
 
 10-23817 
 
 26-842 
 
 1-61 
 
 973i 
 
 77-o 
 
 19 
 
 242-54655 
 
 0-82 
 
 l-fl 
 
 2-861 
 
 11-223 
 
 11-23817 
 
 27-842 
 
 2-61 
 
 10-731 
 
 78-0 
 
 2O 
 
 264-11766 
 
 1-82 
 
 2-31 
 
 3-861 
 
 12-223 
 
 12-23817 
 
 28-842 
 
 3'6i 
 
 11-731 
 
 79' 
 
 21 
 
 285-68877 
 
 0-84 
 
 3'3 
 
 4-861 
 
 13-223 
 
 13-23817 
 
 29-842 
 
 4-61 
 
 12-731 
 
 80-0 
 
 22 
 
 307-25988 
 
 1-84 
 
 4-3I 
 
 5-861 
 
 14-223 
 
 14-23817 
 
 30-842 
 
 5-61 
 
 13-731 
 
 8ro 
 
 23 
 
 328-83099 
 
 0-86 
 
 0-80 
 
 6-861 
 
 15-223 
 
 15-23817 
 
 31-842 
 
 6-61 
 
 H73I 
 
 82-0 
 
 24 
 
 350-40210 
 
 1-86 
 
 i -80 
 
 7-861 
 
 16-223 
 
 16-23817 
 
 32-842 
 
 7-61 
 
 '5731 
 
 83-0 
 
 25 
 
 11-97321 
 
 0-89 
 
 2-80 
 
 8-861 
 
 0-528 
 
 0-54772 
 
 33-842 
 
 0-23 
 
 16-731 
 
 84-0 
 
 26 
 
 33-54432 
 
 1-89 
 
 3-80 
 
 9-861 
 
 1-528 
 
 1-54772 
 
 34-842 
 
 1-23 
 
 0-914 
 
 85-0 
 
 27 
 
 55-H543 
 
 0-91 
 
 0-29 
 
 10-861 
 
 2-528 
 
 2-54772 
 
 35-842 
 
 2-23 
 
 1-914 
 
 86-0 
 
 28 
 
 76-68654 
 
 1-91 
 
 1-29 
 
 11-861 
 
 3-528 
 
 3-54772 
 
 36-842 
 
 3-23 
 
 2-914 
 
 87-0 
 
 29 
 
 98-25765 
 
 0-93 
 
 2-29 
 
 o-337 
 
 4-528 
 
 4-54772 
 
 37^42 
 
 4-23 
 
 3-9*4 
 
 88-0 
 
 30 
 
 119-82876 
 
 1-93 
 
 3 '29 
 
 1-337 
 
 5-528 
 
 S'54772 
 
 38-842 
 
 5'23 
 
 4-914 
 
 89-0 
 
 31 
 
 141-39987 
 
 0-95 
 
 4-29 
 
 2-337 
 
 6-528 
 
 6-54772 
 
 39-842 
 
 6-23 
 
 S'9'4 
 
 90-0 
 
 April 1 
 
 162-97098 
 
 1-95 
 
 0-78 
 
 3-337 
 
 7-528 
 
 7-54772 
 
 40*842 
 
 7-23 
 
 6-914 
 
 91-0 
 
 2 
 
 184-54209 
 
 0-97 
 
 1-78 
 
 4'337 
 
 8-528 
 
 8-54772 
 
 41-842 
 
 8-23 
 
 7-914 
 
 92-0 
 
 3 
 
 206-1 1320 
 
 1-97 
 
 2-78 
 
 5-337 
 
 9-528 
 
 9-54772 
 
 42-842 
 
 0-86 
 
 8-914 
 
 93'0 
 
 4 
 
 227-68431 
 
 0-99 
 
 3-78 
 
 6 "337 
 
 10-528 
 
 10-54772 
 
 43-842 
 
 1-86 
 
 9-914 
 
 94-0 
 
 5 
 
 249-25541 
 
 O'OI 
 
 0-27 
 
 7*337 
 
 11-528 
 
 11-54772 
 
 44-842 
 
 2-86 
 
 10-914 
 
 95-0 
 
 6 
 
 270-82652 
 
 I'OI 
 
 1-27 
 
 8-337 
 
 12-528 
 
 12-54772 
 
 45-842 
 
 3-86 
 
 11-914 
 
 g6'o 
 
 7 
 
 292-39763 
 
 0-03 
 
 2-27 
 
 9'337 
 
 13-528 
 
 13-54772 
 
 46-842 
 
 4-86 
 
 12-914 
 
 97-0 
 
 8 
 
 3 > 3-96874 
 
 1-03 
 
 3^7 
 
 10-337 
 
 14-528 
 
 I4-54772 
 
 47^42 
 
 5-86 
 
 I3'9 r 4 
 
 98-0 
 
 9 
 
 335-539 8 5 
 
 0-05 
 
 4-27 
 
 n'337 
 
 15-528 
 
 15-54772 
 
 48-842 
 
 6-86 
 
 14-914 
 
 99-o 
 
 1O 
 
 357-11096 
 
 1-05 
 
 0-76 
 
 12-337 
 
 16-528 
 
 16-54772 
 
 49-842 
 
 7-86 
 
 15-914 
 
 lOO'O 
 
 11 
 
 18-68207 
 
 0-08 
 
 1-76 
 
 0-814 
 
 0-834 
 
 0-85726 
 
 0-684 
 
 0-48 
 
 0-097 
 
 ioro 
 
 12 
 
 40-25318 
 
 I -08 
 
 276 
 
 1-814 
 
 '834 
 
 1-85726 
 
 1-684 
 
 1-48 
 
 1-097 
 
 I02'O 
 
 13 
 
 61-82429 
 
 O'lO 
 
 376 
 
 2-814 
 
 2-834 
 
 2-85726 
 
 2-684 
 
 2-48 
 
 2-097 
 
 103-0 
 
 14 
 
 83'39540 
 
 no 
 
 0-25 
 
 3'8i4 
 
 3-834 
 
 3-85726 
 
 3-684 
 
 3H8 
 
 3-097 
 
 104-0 
 
 16 
 
 104-96651 
 
 0-12 
 
 1-25 
 
 4-814 
 
 4-834 
 
 4-85726 
 
 4-684 
 
 4-48 
 
 4-097 
 
 105-0 
 
 16 
 
 126-53762 
 
 I'I2 
 
 2-25 
 
 5-814 
 
 5-834 
 
 5-85726 
 
 5-684 
 
 5-48 
 
 5 10 97 
 
 io6 - o 
 
 In Leap Year diminish the date in Columns i, 12, by i day after Feb. a8. 
 
SATELLITE IV 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 X continued 
 
 Motions of Mean Longitude and the Arguments for Days 
 
 12 
 
 13 
 
 '4 
 
 '5 
 
 16 
 
 '7 
 
 ll 
 
 '9 
 
 20 
 
 21 
 
 22 
 
 Day 
 
 1 
 
 J 
 
 K 
 
 L 
 
 M 
 
 N 
 
 o 
 
 P 
 
 Q 
 
 R 
 
 
 7 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 Feb. 23 
 
 O'l 
 
 3-93*95 
 
 3^35 
 
 3'94 
 
 3-937I 
 
 3-949 
 
 3-54 
 
 3-35 
 
 4-13 
 
 374 
 
 24 
 
 0'2 
 
 4-93295 
 
 4-935 
 
 4-94 
 
 4-937I 
 
 4-949 
 
 4'54 
 
 4'35 
 
 5'13 
 
 4"74 
 
 25 
 
 0-2 
 
 5-93295 
 
 5'935 
 
 5'94 
 
 5-937I 
 
 5^49 
 
 5'54 
 
 5'35 
 
 6-13 
 
 574 
 
 26 
 
 0'2 
 
 6-93295 
 
 6-935 
 
 6-94 
 
 6-9371 
 
 6-949 
 
 6-54 
 
 6-35 
 
 7-13 
 
 674 
 
 27 
 
 0'2 
 
 7-93295 
 
 7-935 
 
 7-94 
 
 7-937I 
 
 7-949 
 
 7'54 
 
 7-35 
 
 8-13 
 
 7-74 
 
 28 
 
 O-2 
 
 8-93295 
 
 0-59I 
 
 0-60 
 
 8-9371 
 
 8-949 
 
 8-54 
 
 8-35 
 
 9-I3 
 
 874 
 
 Mar. 1 
 
 O'2 
 
 9'93295 
 
 I-59I 
 
 i -60 
 
 9-9371 
 
 9-949 
 
 9'54 
 
 9-35 
 
 IO-I3 
 
 974 
 
 2 
 
 O"2 
 
 10-93295 
 
 2-591 
 
 2-60 
 
 IO-937I 
 
 10-949 
 
 10-54 
 
 io-35 
 
 11-13 
 
 1074 
 
 3 
 
 O'Z 
 
 11-93295 
 
 3-59 1 
 
 3-60 
 
 II-937I 
 
 U'949 
 
 11-54 
 
 11-35 
 
 12-13 
 
 11-74 
 
 4 
 
 O'2 
 
 I2-93295 
 
 4-59 1 
 
 4-60 
 
 I2-937I 
 
 12-949 
 
 12-54 
 
 12-35 
 
 13-I3 
 
 12-74 
 
 5 
 
 0'2 
 
 13-93295 
 
 5.59, 
 
 5-60 
 
 I3-937I 
 
 13-949 
 
 I3-54 
 
 I3-35 
 
 I4-13 
 
 1374 
 
 6 
 
 0-2 
 
 I4-93295 
 
 6-591 
 
 6-60 
 
 I4-937I 
 
 1 4'949 
 
 H-54 
 
 I4-35 
 
 i5'!3 
 
 H74 
 
 7 
 
 O-2 
 
 I5-93295 
 
 7 - 59 J 
 
 7-60 
 
 I5-937I 
 
 IS-949 
 
 I5-54 
 
 I5-35 
 
 16-13 
 
 1574 
 
 8 
 
 0'2 
 
 0-24394 
 
 0-247 
 
 0-25 
 
 0-2495 
 
 O-266 
 
 16-54 
 
 16-35 
 
 0-50 
 
 16-74 
 
 9 
 
 O"2 
 
 1-24394 
 
 1-247 
 
 1-25 
 
 1-2495 
 
 1-266 
 
 073 
 
 0-46 
 
 1-50 
 
 o-99 
 
 1O 
 
 O-2 
 
 2-24394 
 
 2-247 
 
 2-25 
 
 2-2495 
 
 2-266 
 
 173 
 
 1-46 
 
 2-50 
 
 1-99 
 
 11 
 
 0'2 
 
 3^4394 
 
 
 3-25 
 
 3^495 
 
 3-266 
 
 2-73 
 
 2-46 
 
 3-50 
 
 2'99 
 
 12 
 
 O"2 
 
 4-24394 
 
 4-247 
 
 4'25 
 
 4-2495 
 
 4-266 
 
 373 
 
 3-46 
 
 4-50 
 
 3-99 
 
 13 
 
 O"2 
 
 5-24394 
 
 5-247 
 
 5-25 
 
 
 5-266 
 
 473 
 
 4-46 
 
 5-50 
 
 4'99 
 
 14 
 
 O'2 
 
 6-24394 
 
 6-247 
 
 6-25 
 
 6-2495 
 
 6-266 
 
 573 
 
 5-46 
 
 6-50 
 
 5-99 
 
 15 
 
 O'2 
 
 7-24394 
 
 7-247 
 
 7-25 
 
 7-2495 
 
 7-266 
 
 673 
 
 6-46 
 
 7-50 
 
 6-99 
 
 16 
 
 O-2 
 
 8-24394 
 
 8-247 
 
 8-25 
 
 8-2495 
 
 8-266 
 
 773 
 
 7-46 
 
 8-50 
 
 7-99 
 
 17 
 
 O'2 
 
 9' 2 4394 
 
 0-903 
 
 0-91 
 
 9-2495 
 
 9-266 
 
 873 
 
 8-46 
 
 9-50 
 
 8-99 
 
 18 
 19 
 
 O-2 
 
 O'2 
 
 10-24394 
 11-24394 
 
 1-903 
 2-903 
 
 1-91 
 2-91 
 
 10-2495 
 11-2495 
 
 IO-266 
 11-266 
 
 9-73 
 10-73 
 
 9-46 
 10-46 
 
 10-50 
 11-50 
 
 9'99 
 10-99 
 
 20 
 
 O'2 
 
 12-24394 
 
 3"93 
 
 3-9i 
 
 12-2495 
 
 I2-266 
 
 1173 
 
 11-46 
 
 12-50 
 
 ii-99 
 
 21 
 
 O'2 
 
 I *? *2 J- ^ Q4- 
 
 4-903 
 
 4-91 
 
 13-2495 
 
 13-266 
 
 12-73 
 
 12-46 
 
 13-50 
 
 12-99 
 
 22 
 
 O'2 
 
 I -L ' ^ 4- '2 Qd. 
 
 5-903 
 
 5-91 
 
 14-2495 
 
 14-266 
 
 1373 
 
 13-46 
 
 14-50 
 
 13-99 
 
 23 
 24 
 
 O'2 
 O'2 
 
 15 24394 
 16-24394 
 
 6-903 
 
 7-903 
 
 6-91 
 7-91 
 
 I5-2495 
 I6-2495 
 
 15-266 
 I6-266 
 
 H73 
 1573 
 
 14-46 
 15-46 
 
 15-50 
 16-50 
 
 14-99 
 15-99 
 
 25 
 
 O"2 
 
 0-55492 
 
 0-558 
 
 o-57 
 
 0-5618 
 
 0-582 
 
 16-73 
 
 16-46 
 
 0-88 
 
 no 
 
 0-23 
 
 26 
 
 O'2 
 
 '-55492 
 
 1-558 
 
 !"57 
 
 1-5618 
 
 I-582 
 
 0-91 
 
 0-58 
 
 1 88 
 
 1-23 
 
 27 
 28 
 29 
 
 O-2 
 O-2 
 O-2 
 
 2-55492 
 3-55492 
 
 2-558 
 
 2-57 
 
 3-57 
 4-57 
 
 2-5618 
 3-5618 
 4-5618 
 
 2-582 
 3-582 
 4-582 
 
 1-91 
 2-91 
 
 3-9i 
 
 1-58 
 2-58 
 3-58 
 
 2-88 
 3-88 
 4-88 
 
 2-23 
 3-23 
 4-23 
 
 3O 
 31 
 April 1 
 
 2 
 3 
 
 0'2 
 O'2 
 O-2 
 0-3 
 
 5-5549* 
 
 6-55492 
 
 7-55492 
 
 8-55492 
 9-55492 
 
 6- 5 5 58 
 
 0-214 
 1-214 
 
 5-57 
 6-57 
 
 7-57 
 0-23 
 1-23 
 
 6-5618 
 
 8-5618 
 9-5618 
 
 5-582 
 6-582 
 7^82 
 8-582 
 9-582 
 
 4-91 
 5-9, 
 6-91 
 7-91 
 8-91 
 
 4-58 
 5-58 
 6-58 
 7-58 
 8-58 
 
 5-88 
 6-88 
 7-88 
 8-88 
 9-88 
 
 5-23 
 6-23 
 
 7-23 
 8-23 
 
 9-23 
 
 4 
 
 5 
 6 
 7 
 8 
 
 0-3 
 
 0'3 
 0-3 
 
 0-3 
 
 0-3 
 
 10-55492 
 11-55492 
 12-55492 
 13-55492 
 14-55492 
 
 2-214 
 3-214 
 4-214 
 5-214 
 6-214 
 
 2-23 
 3-23 
 4-23 
 
 6-23 
 
 10-5618 
 11-5618 
 12-5618 
 13-5618 
 14-5618 
 
 10-582 
 II-582 
 I2-582 
 I3-582 
 14-582 
 
 9-91 
 10 '9 1 
 11-91 
 12-91 
 13-91 
 
 9-58 
 10-58 
 ir 5 8 
 12-58 
 
 10-88 
 n-88 
 12-88 
 13-88 
 14-88 
 
 10-23 
 11-23 
 12-23 
 13-23 
 14-23 
 
 9 
 1O 
 11 
 12 
 13 
 
 0-3 
 0-3 
 
 15-55492 
 16-55492 
 0-86590 
 1-86590 
 2-86590 
 
 7-214 
 8-214 
 
 o'8/o 
 1-870 
 2-870 
 
 8-23 
 0-88 
 1-88 
 2-88 
 
 15-5618 
 16-5618 
 
 0-8742 
 1-8742 
 
 2-8742 
 
 15-582 
 16-582 
 0-898 
 1-898 
 2-898 
 
 14-91 
 15-91 
 0-09 
 1-09 
 2-09 
 
 14-58 
 15-58 
 16-58 
 0-70 
 1-70 
 
 15-88 
 
 0-25 
 1-25 
 2-25 
 3' Z 5 
 
 15-23 
 16-23 
 0-48 
 1-48 
 2-48 
 
 14 
 15 
 16 
 
 0-3 
 
 3-86590 
 4-86590 
 5-86590 
 
 3-870 
 4-870 
 5-870 
 
 3-88 
 4-88 
 5-88 
 
 3-8742 
 4-8742 
 5-8742 
 
 3-898 
 4-898 
 5-898 
 
 3-09 
 4-09 
 5-09 
 
 a 
 
 2-70 
 370 
 4-70 
 
 4; 2 5 
 
 6-25 
 
 1 
 
 4-48 
 
 ^^ 
 
 133 
 
 30 
 
SATELLITE IV 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 X continued Motions of Mean Longitude and the Arguments for Days 
 
 I 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 to 
 
 II 
 
 Day 
 
 Mean Long. 
 
 A 
 
 B 
 
 c 
 
 D 
 
 E 
 
 F 
 
 G 
 
 H 
 
 a 
 
 April 17 
 
 o 
 
 148-10873 
 
 d 
 0-14 
 
 d 
 3-25 
 
 d 
 6-814 
 
 d 
 6-834 
 
 d 
 6-85726 
 
 d 
 6-684 
 
 d 
 6-48 
 
 d 
 6-097 
 
 d 
 I07-0 
 
 18 
 
 169-67984 
 
 I-I4 
 
 4-25 
 
 7-814 
 
 7-834 
 
 7-85726 
 
 7-684 
 
 7-48 
 
 7-097 
 
 IO8'O 
 
 19 
 
 191-25095 
 
 0-16 
 
 073 
 
 8-814 
 
 8-834 
 
 8-85726 
 
 8-684 
 
 O'lO 
 
 8-097 
 
 109-0 
 
 20 
 
 212-82206 
 
 1-16 
 
 I"73 
 
 9-814 
 
 9-834 
 
 9-85726 
 
 9-684 
 
 I-IO 
 
 9-097 
 
 IIO'O 
 
 21 
 
 234-39317 
 
 0-18 
 
 *73 
 
 IO-8I4 
 
 10-834 
 
 10-85726 
 
 10-684 
 
 2'IO 
 
 IO-O97 
 
 I1I-0 
 
 22 
 
 255-96428 
 
 1-18 
 
 373 
 
 II-8I4 
 
 11-834 
 
 11-85726 
 
 11-684 
 
 3-10 
 
 11-097 
 
 II2'O 
 
 23 
 
 277-53539 
 
 O'2O 
 
 O-22 
 
 0-29I 
 
 12-834 
 
 12-85726 
 
 12-684 
 
 4-10 
 
 12-097 
 
 1 13-0 
 
 24 
 
 299-10650 
 
 1-20 
 
 1-22 
 
 1-291 
 
 '3-834 
 
 13-85726 
 
 13-684 
 
 5-10 
 
 13-097 
 
 114-0 
 
 25 
 
 320-67761 
 
 O"22 
 
 2-22 
 
 2-291 
 
 I4-834 
 
 14-85726 
 
 14-684 
 
 6 - io 
 
 14-097 
 
 115-0 
 
 26 
 
 342-24872 
 
 1*22 
 
 3' 
 
 3-291 
 
 I5-834 
 
 15-85726 
 
 15-684 
 
 7-10 
 
 15-097 
 
 1 16-0 
 
 27 
 
 3-8I983 
 
 0-24 
 
 4'22 
 
 4-291 
 
 0-139 
 
 0-16680 
 
 16-684 
 
 8-10 
 
 16-097 
 
 117-0 
 
 28 
 
 25-39094 
 
 1-24 
 
 071 
 
 5-291 
 
 1-139 
 
 1-16680 
 
 17-684 
 
 073 
 
 0-28O 
 
 118-0 
 
 29 
 
 46-96205 
 
 O'27 
 
 171 
 
 6-291 
 
 2-139 
 
 2-16680 
 
 18-684 
 
 '73 
 
 I-280 
 
 119-0 
 
 3O 
 
 68-53316 
 
 1-27 
 
 271 
 
 7-291 
 
 3-I39 
 
 3-16680 
 
 19-684 
 
 273 
 
 2-280 
 
 I2O'O 
 
 May 1 
 
 90-10426 
 
 0-29 
 
 371 
 
 8-291 
 
 4-139 
 
 4-16680 
 
 20-684 
 
 373 
 
 3-280 
 
 12 I -O 
 
 2 
 
 111-67537 
 
 1-29 
 
 O'2O 
 
 9-291 
 
 5-I39 
 
 5-16680 
 
 21-684 
 
 473 
 
 4-280 
 
 I22'0 
 
 3 
 
 133-24648 
 
 0-31 
 
 I'2O 
 
 IO-29I 
 
 6-139 
 
 6-16680 
 
 22-684 
 
 573 
 
 5-280 
 
 I23-O 
 
 4 
 
 154-81759 
 
 ''SI 
 
 2'20 
 
 II-29I 
 
 7-I39 
 
 7-16680 
 
 23-684 
 
 673 
 
 6-280 
 
 124-0 
 
 5 
 
 176-38870 
 
 '33 
 
 3-20 
 
 I2-29I 
 
 8-139 
 
 8-16680 
 
 24-684 
 
 773 
 
 7-280 
 
 125-0 
 
 6 
 
 197-95981 
 
 I'33 
 
 4'2O 
 
 0-768 
 
 9''39 
 
 9-16680 
 
 25-684 
 
 0'35 
 
 8-280 
 
 I26-O 
 
 7 
 
 219-53092 
 
 0-35 
 
 0-69 
 
 1768 
 
 10-139 
 
 10-16680 
 
 26-684 
 
 i'35 
 
 9-280 
 
 I27'0 
 
 8 
 
 241-10203 
 
 i-35 
 
 1-69 
 
 2-768 
 
 11-139 
 
 11-16680 
 
 27-684 
 
 2-35 
 
 IO-28O 
 
 I28-0 
 
 9 
 
 262-67314 
 
 o-37 
 
 2-69 
 
 3768 
 
 12-139 
 
 12-16680 
 
 28-684 
 
 3'35 
 
 I1-28O 
 
 129-0 
 
 1O 
 
 284-24425 
 
 1-37 
 
 3-69 
 
 4768 
 
 I3-I39 
 
 13-16680 
 
 29-684 
 
 4-35 
 
 12-28O 
 
 I3O-O 
 
 11 
 
 305-81536 
 
 0-39 
 
 0-18 
 
 5768 
 
 I4-I39 
 
 14-16680 
 
 30-684 
 
 5-35 
 
 I3-280 
 
 I3I-0 
 
 12 
 
 327-38647 
 
 i-39 
 
 1-18 
 
 6768 
 
 '5''39 
 
 15-16680 
 
 31-684 
 
 6-35 
 
 14-280 
 
 I32'O 
 
 13 
 
 348-9S758 
 
 0-41 
 
 2-18 
 
 7768 
 
 16-139 
 
 16-16680 
 
 32-684 
 
 7'35 
 
 15-280 
 
 '33-0 
 
 14 
 
 10-52869 
 
 1-41 
 
 }! 
 
 8-768 
 
 0-445 
 
 0-47635 
 
 33-684 
 
 8-35 
 
 16-280 
 
 134-0 
 
 15 
 
 32-09980 
 
 o'43 
 
 4-18 
 
 9-768 
 
 i '445 
 
 1-47635 
 
 34-684 
 
 0-97 
 
 0-463 
 
 !J5' 
 
 16 
 
 53-67091 
 
 J'43 
 
 0-67 
 
 10768 
 
 2-445 
 
 2-47635 
 
 35-684 
 
 1-97 
 
 1-463 
 
 136-0 
 
 17 
 
 75-24202 
 
 0-46 
 
 I-6 7 
 
 II768 
 
 3-445 
 
 3-47635 
 
 36-684 
 
 2-97 
 
 2-463 
 
 137-0 
 
 18 
 
 96-81313 
 
 1-46 
 
 2-6 7 
 
 0-244 
 
 4-445 
 
 4-47635 
 
 37-684 
 
 3-97 
 
 3-463 
 
 138-0 
 
 19 
 
 118-38424 
 
 0-48 
 
 3-67 
 
 1-244 
 
 S'445 
 
 5-47635 
 
 38-684 
 
 4'97 
 
 4^63 
 
 139-0 
 
 2O 
 
 '39-95535 
 
 1-48 
 
 0-16 
 
 2-244 
 
 6-445 
 
 6-47635 
 
 39-684 
 
 5-97 
 
 S^S 
 
 140-0 
 
 21 
 
 161*52646 
 
 0-50 
 
 1-16 
 
 3^44 
 
 7H45 
 
 7-47635 
 
 40-684 
 
 6-97 
 
 6-463 
 
 141-0 
 
 22 
 
 183-09757 
 
 1-50 
 
 2-16 
 
 4-244 
 
 8-445 
 
 8-47635 
 
 41-684 
 
 7-97 
 
 7-4 6 3 
 
 142-0 
 
 23 
 
 204-66868 
 
 0-52 
 
 3-'6 
 
 5-244 
 
 9-445 
 
 9-47635 
 
 42-684 
 
 0-59 
 
 8-463 
 
 143-0 
 
 24 
 
 226-23979 
 
 1-52 
 
 4-16 
 
 6-244 
 
 10-445 
 
 10-47635 
 
 43-684 
 
 1-59 
 
 9'463 
 
 144-0 
 
 25 
 
 247-81090 
 
 0-54 
 
 0-65 
 
 7' 2 44 
 
 11-445 
 
 "47635 
 
 44-684 
 
 2-59 
 
 10-463 
 
 145-0 
 
 26 
 
 269-38201 
 
 1-54 
 
 1-65 
 
 8-244 
 
 12-445 
 
 12-47635 
 
 45-684 
 
 3-59 
 
 11-463 
 
 146-0 
 
 27 
 
 290-95312 
 
 0-56 
 
 2-65 
 
 9-244 
 
 '3 '445 
 
 '3-47635 
 
 46-684 
 
 4-59 
 
 12-463 
 
 147-0 
 
 28 
 
 312-52423 
 
 1-56 
 
 3-65 
 
 10-244 
 
 '4-445 
 
 I4-47635 
 
 47-684 
 
 5-59 
 
 I3-4 6 3 
 
 148-0 
 
 29 
 
 334-09533 
 
 0-58 
 
 0-13 
 
 11-244 
 
 '5-445 
 
 15-47635 
 
 48-684 
 
 6-59 
 
 H^S 
 
 149-0 
 
 3O 
 
 355-66644 
 
 1-58 
 
 '13 
 
 12-244 
 
 16-445 
 
 16-47635 
 
 49-684 
 
 7-59 
 
 I5-463 
 
 150-0 
 
 31 
 
 17-23755 
 
 o - 6o 
 
 2-13 
 
 0-721 
 
 75' 
 
 0-78589 
 
 0-526 
 
 O"22 
 
 16-463 
 
 151-0 
 
 June 1 
 
 38-80866 
 
 i -60 
 
 3-I3 
 
 1-721 
 
 1-751 
 
 1-78589 
 
 1-526 
 
 I'22 
 
 0-646 
 
 152-0 
 
 2 
 
 60-37977 
 
 0-62 
 
 4-i3 
 
 2-721 
 
 2-751 
 
 278589 
 
 2-526 
 
 2'22 
 
 1-646 
 
 53-0 
 
 3 
 
 81-95088 
 
 1-62 
 
 0-62 
 
 3721 
 
 375' 
 
 378589 
 
 3-526 
 
 3' 
 
 2-646 
 
 154-0 
 
 4 
 
 103-52199 
 
 0-65 
 
 1-62 
 
 4721 
 
 475' 
 
 4-78589 
 
 4-526 
 
 4-22 
 
 3-646 
 
 155-0 
 
 5 
 
 125-09310 
 
 1-65 
 
 2-62 
 
 5-721 
 
 575' 
 
 578589 
 
 5-526 
 
 5'22 
 
 4-646 
 
 156-0 
 
 6 
 
 146-66421 
 
 0-67 
 
 3-62 
 
 6-721 
 
 6-751 
 
 6-78589 
 
 6-526 
 
 6-22 
 
 5-646 
 
 157-0 
 
 7 
 
 168-23532 
 
 1-67 
 
 O'll 
 
 7-721 
 
 7-751 
 
 7-78589 
 
 7-526 
 
 7-22 
 
 6-646 
 
 158-0 
 
 In Leap Year diminish the date in Columns i, u, by i day after Feb. 28. 
 
SATELLITE IV 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 X continued Motions of Mean Longitude and the Arguments for Days 
 
 12 
 
 '3 
 
 '4 
 
 '5 
 
 16 
 
 >7 
 
 il 
 
 '9 
 
 20 
 
 21 
 
 22 
 
 Day 
 
 1 
 
 J 
 
 K 
 
 L 
 
 M 
 
 N 
 
 
 
 P 
 
 Q 
 
 R 
 
 April 17 
 
 y 
 0-3 
 
 d 
 6-86590 
 
 d 
 6-870 
 
 d 
 
 6-88 
 
 d 
 6-8742 
 
 d 
 6-898 
 
 d 
 6-09 
 
 d 
 570 
 
 d 
 7-25 
 
 d 
 6-48 
 
 18 
 
 0-3 
 
 7-86590 
 
 7-870 
 
 7-88 
 
 7-8742 
 
 7-898 
 
 7-09 
 
 6-70 
 
 8-2 5 
 
 7-48 
 
 19 
 
 '3 
 
 8-86590 
 
 0-526 
 
 0-54 
 
 8-8742 
 
 8-898 
 
 8-09 
 
 770 
 
 9-25 
 
 8-48 
 
 2O 
 
 0-3 
 
 9-86590 
 
 1-526 
 
 I- 54 
 
 9-8742 
 
 9-898 
 
 9-09 
 
 870 
 
 IO-25 
 
 9-48 
 
 21 
 
 0-3 
 
 10-86590 
 
 2-526 
 
 2-54 
 
 10-8742 
 
 10-898 
 
 lO'Og 
 
 9-70 
 
 11-25 
 
 10-48 
 
 22 
 
 '3 
 
 11-86590 
 
 3-526 
 
 3'54 
 
 11-8742 
 
 11-898 
 
 II-O9 
 
 1070 
 
 I2'25 
 
 11-48 
 
 23 
 
 0-3 
 
 12-86590 
 
 4-526 
 
 4-54 
 
 12-8742 
 
 12-898 
 
 I2-O9 
 
 II-7O 
 
 I3-25 
 
 12-48 
 
 24 
 
 0-3 
 
 13-86590 
 
 5-526 
 
 5'54 
 
 13-8742 
 
 13-898 
 
 13-09 
 
 12-70 
 
 14-25 
 
 13-48 
 
 25 
 
 '3 
 
 14-86590 
 
 6-526 
 
 6-54 
 
 14-8742 
 
 14-898 
 
 14-09 
 
 1370 
 
 I5-25 
 
 14-48 
 
 26 
 
 0-3 
 
 15-86590 
 
 7-526 
 
 7'54 
 
 15-874* 
 
 15-898 
 
 15-09 
 
 1470 
 
 l6-25 
 
 15-48 
 
 27 
 
 0-3 
 
 0-17689 
 
 0-I82 
 
 O'2O 
 
 o'i866 0-215 
 
 I6-09 
 
 1570 
 
 0-63 
 
 16-48 
 
 28 
 
 0-3 
 
 1-17689 
 
 I-I82 
 
 1-20 
 
 1-1866 
 
 I-2I5 
 
 0-27 
 
 16-70 
 
 I-6 3 
 
 0-73 
 
 29 
 
 0-3 
 
 2-17689 
 
 2-I82 
 
 2'2O 
 
 2-1866 
 
 2-215 
 
 1-27 
 
 0-81 
 
 2-6 3 
 
 1-73 
 
 3O 
 
 '3 
 
 3-17689 
 
 3-182 
 
 3-20 
 
 3-1866 
 
 3-215 
 
 2-27 
 
 1-81 
 
 3^3 
 
 273 
 
 May 1 
 
 0-3 
 
 4-17689 
 
 4-182 
 
 4-20 
 
 4-1866 
 
 4-215 
 
 3-27 
 
 2-81 
 
 4-63 
 
 373 
 
 2 
 
 0-3 
 
 5-17689 
 
 5-182 
 
 5-20 
 
 5-1866 
 
 5-215 
 
 4-27 
 
 3-8i 
 
 5-63 
 
 473 
 
 3 
 
 '3 
 
 6-17689 
 
 6-I82 
 
 6-20 
 
 6-1866 
 
 6-215 
 
 5-27 
 
 4-81 
 
 6-63 
 
 573 
 
 4 
 
 '3 
 
 7-17689 
 
 7-182 7'2O 
 
 7-1866 
 
 7-215 
 
 6-27 
 
 5-81 
 
 7-6 3 
 
 673 
 
 5 
 
 0-3 
 
 8-17689 
 
 8-I82 
 
 8-20 
 
 8-1866 
 
 8-215 
 
 7-27 
 
 6-81 
 
 8-63 
 
 773 
 
 6 
 
 0-3 
 
 9-17689 
 
 0-838 
 
 0-85 
 
 9-1866 
 
 9-215 
 
 8-27 
 
 7-81 
 
 9' 6 3 
 
 8-73 
 
 7 
 
 0-3 
 
 10-17689 
 
 1-838 
 
 1-85 
 
 10-1866 
 
 10-215 
 
 9-27 
 
 8-81 
 
 10-63 
 
 973 
 
 8 
 
 0-4 
 
 11-17689 
 
 2-838 
 
 2-85 
 
 11-1866 
 
 11-215 
 
 10-27 
 
 9-81 
 
 11-63 
 
 10-73 
 
 9 
 
 0-4 
 
 12-17689 
 
 3-838 
 
 3-85 
 
 iz-i866 
 
 12-215 
 
 11-27 
 
 10-81 
 
 12-63 
 
 11-73 
 
 10 
 
 0-4 
 
 13-17689 
 
 4-838 
 
 4-85 
 
 13-1866 
 
 13-215 
 
 12-27 
 
 11-81 
 
 13-63 
 
 1273 
 
 11 
 
 0-4 
 
 14-17689 
 
 5-838 
 
 5-85 
 
 14-1866 
 
 14-215 
 
 13-27 
 
 12-81 
 
 14-63 
 
 1373 
 
 12 
 
 0-4 
 
 15-17689 
 
 6-838 
 
 6-85 
 
 15-1866 
 
 15-215 
 
 14-27 
 
 13-81 
 
 15-63 
 
 H73 
 
 13 
 
 0-4 
 
 16-17689 
 
 7-838 
 
 7-85 
 
 16-1866 
 
 16-215 
 
 15-27 
 
 14-81 
 
 O'OO 
 
 '573 
 
 14 
 
 0-4 
 
 0-48787 
 
 Q'493 
 
 0-51 
 
 0-4990 
 
 0-531 
 
 16-27 
 
 15-81 
 
 POO 
 
 1673 
 
 15 
 
 0-4 
 
 1-48787 
 
 ''493 
 
 1-51 
 
 1-4990 
 
 i-53i 
 
 0-45 
 
 16-81 
 
 2-OO 
 
 0-97 
 
 16 
 
 0-4 
 
 2-48787 
 
 2-493 
 
 2-51 
 
 2-4990 
 
 2-53' 
 
 '45 
 
 0-93 
 
 3'OO 
 
 1-97 
 
 17 
 
 0-4 
 
 3H8787 
 
 3'493 
 
 3-51 
 
 3-4990 
 
 3"53 
 
 2-45 
 
 1-93 
 
 4'OO 
 
 2-97 
 
 18 
 
 0-4 
 
 4-48787 
 
 4-493 
 
 4'5' 
 
 4-4990 
 
 *'SSl 
 
 3'45 
 
 2-93 
 
 5-OO 
 
 3'97 
 
 19 
 
 0-4 
 
 5-48787 
 
 S'493 
 
 5'5' 
 
 5-4990 
 
 5-53J 
 
 4-45 
 
 3-93 
 
 oo 
 
 4-97 
 
 20 
 
 0-4 
 
 6-48787 
 
 6-493 
 
 6-51 
 
 6-4990 
 
 6-53I 
 
 5H5 
 
 4-93 
 
 7-00 
 
 PI 
 
 21 
 
 0-4 
 
 7-48787 
 
 7-493 
 
 7-5' 
 
 7-4990 
 
 7-531 
 
 6-45 
 
 5-93 
 
 8-00 
 
 6-97 
 
 22 
 
 0-4 
 
 8-48787 
 
 0-149 
 
 0-17 
 
 8-4990 
 
 8'53' 
 
 7'45 
 
 6-93 
 
 9-00 
 
 7'97 
 
 23 
 
 0-4 
 
 9-48787 
 
 1-149 
 
 1-17 
 
 9-4990 
 
 9'53i 
 
 8-45 
 
 7-93 
 
 lO'OO 
 
 8-97 
 
 24 
 
 0-4 
 
 10-48787 
 
 2-149 
 
 2-17 
 
 10-4990 
 
 10-531 
 
 9'45 
 
 8-93 
 
 iroo 
 
 9-97 
 
 25 
 
 0-4 
 
 11-48787 
 
 3'H9 
 
 y7 
 
 11-4990 
 
 ii'53J 
 
 10-45 
 
 9'93 
 
 I2'OO 
 
 10-97 
 
 26 
 
 0-4 
 
 12-48787 
 
 4-149 
 
 4-17 
 
 12-4990 
 
 I2-53I 
 
 11-45 
 
 10-93 
 
 13-00 
 
 11-97 
 
 27 
 
 0-4 
 
 13-48787 
 
 5'H9 
 
 5-17 
 
 13-4990 
 
 13-531 
 
 iz'45 
 
 11-93 
 
 14-00 
 
 12-97 
 
 28 
 
 0-4 
 
 14-48787 
 
 6-149 
 
 6-17 
 
 14-4990 
 
 14-531 
 
 I3-45 
 
 12-93 
 
 15-00 
 
 s 
 
 13-97 
 
 29 
 3O 
 31 
 
 0-4 
 0-4 
 0-4 
 
 15-48787 
 16-48787 
 079885 
 
 7*49 
 
 8-149 
 
 0-805 
 
 7-17 
 8-17 
 0-82 
 
 15-4990 
 16-4990 
 0-8113 
 
 15-53' 
 16-531 
 0-848 
 
 '4"45 
 I5-45 
 16-45 
 
 I3-93 
 14-93 
 
 I5-93 
 
 1 6 oo 
 0-38 
 '38 
 
 14-97 
 15-97 
 
 O-22 
 
 June 1 
 
 2 
 3 
 
 4 
 5 
 
 0-4 
 0-4 
 0-4 
 0-4 
 0-4 
 
 1-79885 
 2-79885 
 
 379885 
 4-79885 
 5-79885 
 
 1-805 
 2-805 
 3-805 
 4-805 
 5-805 
 
 1-82 
 2-82 
 3-82 
 4-82 
 5-82 
 
 1-8113 
 2-8113 
 3-81.3 
 4-8113 
 5-8113 
 
 1-848 
 2-848 
 3-848 
 4-848 
 5-848 
 
 0-63 
 1-63 
 2-63 
 
 3-63 
 4-63 
 
 0-04 
 1-04 
 2-04 
 
 3-04 
 4-04 
 
 2-38 
 3-38 
 4-38 
 5-38 
 6-38 
 
 1-22 
 2'22 
 3-22 
 
 4-22 
 5-22 
 
 6 
 7 
 
 0-4 
 0-4 
 
 6-79885 
 779885 
 
 6-805 
 7-805 
 
 6-82 
 7-82 
 
 6-8113 
 7-8113 
 
 6-848 
 7-848 
 
 5-63 
 6-63 
 
 5-04 
 6-04 
 
 7-38 
 8-38 
 
 6-22 
 
 T " 
 
SATELLITE IV 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 X continued Motions of Mean Longitude and the Arguments for Days 
 
 I 
 
 i 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 s 
 
 9 
 
 10 
 
 II 
 
 Day 
 
 Mean Long. 
 
 A 
 
 B 
 
 c 
 
 D 
 
 E 
 
 F 
 
 G 
 
 H 
 
 a 
 
 June 8 
 
 o 
 189-80643 
 
 d 
 0-69 
 
 d 
 I'll 
 
 d 
 
 8-721 
 
 d 
 8-751 
 
 d 
 8-78589 
 
 d 
 8-526 
 
 d 
 8-22 
 
 d 
 7-646 
 
 d 
 I59-0 
 
 9 
 
 211-37754 
 
 1-69 
 
 2-II 
 
 9721 
 
 9-75I 
 
 9-78589 
 
 9-526 
 
 0-84 
 
 8-646 
 
 160-0 
 
 1O 
 
 232-94865 
 
 0-71 
 
 3-11 
 
 IO-72I 
 
 10751 
 
 10-78589 
 
 10-526 
 
 1-84 
 
 9-646 
 
 161-0 
 
 11 
 
 254-51976 
 
 I-7I 
 
 4-1 1 
 
 II-72I 
 
 1I-75I 
 
 11-78589 
 
 II-526 
 
 2-84 
 
 10-646 
 
 162-0 
 
 12 
 
 276^09087 
 
 0-73 
 
 0-60 
 
 O'igS 
 
 12-751 
 
 12-78589 
 
 12-526 
 
 3-84 
 
 11-646 
 
 163-0 
 
 13 
 
 297-66198 
 
 173 
 
 1-60 
 
 1-198 
 
 '375' 
 
 1378589 
 
 I3-526 
 
 4-84 
 
 12-646 
 
 164-0 
 
 14 
 
 319-23309 
 
 0-75 
 
 2-60 
 
 2-198 
 
 14-751 
 
 1478589 
 
 I4-526 
 
 5-84 
 
 13-646 
 
 165-0 
 
 15 
 
 340-80420 
 
 1-75 
 
 3-60 
 
 3-I 9 8 
 
 1 575i 
 
 . 1578589 
 
 I5-526 
 
 6-84 
 
 14-646 
 
 166-0 
 
 16 
 
 2-37531 
 
 0-77 
 
 0-09 
 
 4-198 
 
 0-056 
 
 0-09543 
 
 16-526 
 
 7-84 
 
 15-646 
 
 167-0 
 
 17 
 
 23-94642 
 
 177 
 
 1-09 
 
 5-I 9 8 
 
 1-056 
 
 1 -9543 
 
 17-526 
 
 0-46 
 
 16-646 
 
 168-0 
 
 18 
 
 4S'5'753 
 
 0-79 
 
 2-09 
 
 6-198 
 
 2-056 
 
 2-09543 
 
 18-526 
 
 1-46 
 
 0-829 
 
 169-0 
 
 19 
 
 67-08864 
 
 1-79 
 
 3-09 
 
 7-198 
 
 3-056 
 
 3-09543 
 
 I9-526 
 
 2-46 
 
 1-829 
 
 170-0 
 
 2O 
 
 88-65975 
 
 0-81 
 
 4-09 
 
 8-198 
 
 4-056 
 
 4-09543 
 
 20-526 
 
 S^ 6 
 
 2-829 
 
 171-0 
 
 21 
 
 1 10-23086 
 
 1-81 
 
 0-58 
 
 9-198 
 
 5-056 
 
 5'09543 
 
 21-526 
 
 4-46 
 
 3-829 
 
 172-0 
 
 22 
 
 131-80197 
 
 0-83 
 
 r$8 
 
 lO-igS 
 
 6-056 
 
 6-09543 
 
 22-526 
 
 5^6 
 
 4-829 
 
 173-0 
 
 23 
 
 153-37308 
 
 1-83 
 
 2-58 
 
 II-I98 
 
 7-056 
 
 7^9543 
 
 23-526 
 
 6- 4 6 
 
 5-829 
 
 174-0 
 
 24 
 
 174-94419 
 
 0-86 
 
 3-S8 
 
 12-198 
 
 8-056 
 
 8-09543 
 
 24-526 
 
 7-46 
 
 6-829 
 
 175-0 
 
 25 
 
 196-51529 
 
 1-86 
 
 0-07 
 
 0-675 
 
 9-056 
 
 9'9543 
 
 25-526 
 
 0-09 
 
 7^29 
 
 176-0 
 
 26 
 
 218-08640 
 
 0-88 
 
 1-07 
 
 1-675 
 
 10-056 
 
 10-09543 
 
 26-526 
 
 1-09 
 
 8-829 
 
 177-0 
 
 27 
 
 239-65751 
 
 1-88 
 
 2-07 
 
 2-675 
 
 1 1-056 
 
 11-09543 
 
 27-526 
 
 2-O9 
 
 9-829 
 
 178-0 
 
 28 
 
 261-22862 
 
 0-90 
 
 3'7 
 
 3-67S 
 
 12-056 
 
 12-09543 
 
 28-526 
 
 3-09 
 
 10-829 
 
 179-0 
 
 29 
 
 282-79973 
 
 1-90 
 
 4-07 
 
 4-675 
 
 13-056 
 
 13-09543 
 
 29-526 
 
 4-09 
 
 II-829 
 
 180-0 
 
 3O 
 
 304-37084 
 
 0-92 
 
 0-56 
 
 5-675 
 
 14-056 
 
 i4'9543 
 
 30-526 
 
 5-09 
 
 12-829 
 
 i8ro 
 
 July 1 
 
 3 Z 5'94'95 
 
 1-92 
 
 1-56 
 
 6-6 7 5 
 
 15-056 
 
 I5-09543 
 
 3I-526 
 
 6-09 
 
 13-829 
 
 182-0 
 
 2 
 
 347-51306 
 
 0-94 
 
 2-56 
 
 7-675 
 
 16-056 
 
 16-09543 
 
 32-526 
 
 7-09 
 
 14-829 
 
 183-0 
 
 3 
 
 9-08417 
 
 1-94 
 
 3-56 
 
 8-675 
 
 0-362 
 
 0-40498 
 
 33-5*6 
 
 8-09 
 
 15-829 
 
 184-0 
 
 4 
 
 30-65528 
 
 0-96 
 
 0-05 
 
 9-675 
 
 1-36* 
 
 1-40498 
 
 34-52 6 
 
 071 
 
 O-OI2 
 
 185-0 
 
 5 
 
 52-22639 
 
 1-96 
 
 1-05 
 
 IO-675 
 
 2-362 
 
 2-40498 
 
 35-526 
 
 171 
 
 I -01 2 
 
 186-0 
 
 6 
 
 737975 
 
 0-98 
 
 2-05 
 
 11-675 
 
 3-36* 
 
 3-40498 
 
 36-526 
 
 271 
 
 2'OI2 
 
 187-0 
 
 7 
 
 95-36861 
 
 o-oo 
 
 3-05 
 
 0-I5I 
 
 4-362 
 
 4-40498 
 
 37-526 
 
 371 
 
 3-012 
 
 188-0 
 
 8 
 
 116-93972 
 
 I'OO 
 
 4-05 
 
 I-I5I 
 
 5-362 
 
 5-40498 
 
 38-5*6 
 
 471 
 
 4'OIZ 
 
 189-0 
 
 9 
 
 138-51083 
 
 O'02 
 
 0-54 
 
 2-I5I 
 
 6-362 
 
 6-40498 
 
 39-526 
 
 5-71 
 
 5-OI2 
 
 190-0 
 
 1O 
 
 160-08194 
 
 1-02 
 
 i'54 
 
 3-I5I 
 
 7-362 
 
 7-40498 
 
 40-526 
 
 6- 7 I 
 
 6-012 
 
 191-0 
 
 11 
 
 181-65305 
 
 0-05 
 
 2-54 
 
 4'i5i 
 
 8-362 
 
 8-40498 
 
 41-526 
 
 771 
 
 7-OI2 
 
 192-0 
 
 12 
 
 203-22416 
 
 1-05 
 
 3'54 
 
 5-151 
 
 9-362 
 
 9-40498 
 
 42-526 
 
 0-33 
 
 8-012 
 
 193-0 
 
 13 
 
 22479527 
 
 0-07 
 
 O'O2 
 
 6-151 
 
 10-362 
 
 10-40498 
 
 43-526 
 
 J'33 
 
 9-OI2 
 
 194-0 
 
 14 
 
 246-36638 
 
 1-07 
 
 I'O2 
 
 7-151 
 
 11-362 
 
 11-40498 
 
 44-526 
 
 2-33 
 
 10-012 
 
 195-0 
 
 15 
 
 267-93749 
 
 0-09 
 
 2-O2 
 
 8-151 
 
 12-362 
 
 12-40498 
 
 45-526 
 
 3'33 
 
 II-OI2 
 
 196-0 
 
 16 
 
 289-50860 
 
 1-09 
 
 3'O2 
 
 9-151 
 
 13-362 
 
 13-40498 
 
 46-526 
 
 4'33 
 
 12-012 
 
 197-0 
 
 17 
 
 311-07971 
 
 O'l I 
 
 4-O2 
 
 10-151 
 
 14-362 
 
 14-40498 
 
 47-526 
 
 5'33 
 
 I3-OI2 
 
 198-0 
 
 18 
 
 332-65082 
 
 I'll 
 
 0-51 
 
 11-151 
 
 15-362 
 
 15-40498 
 
 48-526 
 
 6-33 
 
 I4-OI2 
 
 199-0 
 
 19 
 
 354-22193 
 
 0-13 
 
 I-5I 
 
 12-151 
 
 16-362 
 
 16-40498 
 
 49-526 
 
 7'33 
 
 I5-OI2 
 
 2OO-O 
 
 2O 
 
 15-79304 
 
 '13 
 
 2-5I 
 
 0-628 
 
 0-668 
 
 0-71452 
 
 0-368 
 
 8-33 
 
 16-012 
 
 2oro 
 
 21 
 
 37-364'5 
 
 0-15 
 
 3-51 
 
 1-628 
 
 i 668 
 
 1-71452 
 
 I-368 
 
 0-96 
 
 0-194 
 
 2O2-O 
 
 22 
 
 58-93525 
 
 1-15 
 
 o-oo 
 
 2-628 
 
 2-668 
 
 271452 
 
 2-368 
 
 1-96 
 
 I-I94 
 
 203-0 
 
 23 
 
 80-50636 
 
 0-17 
 
 i-oo 
 
 3-628 
 
 3-668 
 
 37H5* 
 
 3-368 
 
 2-96 
 
 2-194 
 
 204-0 
 
 24 
 
 102-07747 
 
 1-17 
 
 2'OO 
 
 4-628 
 
 4-668 
 
 471452 
 
 4-368 
 
 3"9 6 
 
 3''94 
 
 205-0 
 
 25 
 
 123-64858 
 
 0-19 
 
 3-00 
 
 5-628 
 
 5-668 
 
 57H52 
 
 5^68 
 
 4-96 
 
 4-194 
 
 206-0 
 
 26 
 
 145-21969 
 
 1-19 
 
 4-00 
 
 6-628 
 
 6-668 
 
 6-71452 
 
 6-368 
 
 5-96 
 
 5-I94 
 
 207-0 
 
 27 
 
 166-79080 
 
 O'2I 
 
 0-49 
 
 7-628 
 
 7-668 
 
 7-71452 
 
 7-368 
 
 6-96 
 
 6-194 
 
 208-0 
 
 28 
 
 188-36191 
 
 I '2 I 
 
 1-49 
 
 8-628 
 
 8-668 
 
 8-71452 
 
 8-368 
 
 7-96 
 
 7-I94 
 
 209-0 
 
 29 
 
 209-93302 
 
 0-24 
 
 2-49 
 
 9-628 
 
 9-668 
 
 9-71452 
 
 9-368 
 
 0-58 
 
 8-194 2IO-O 
 
 In leap Year diminish the date in Columns i, 12, by i clay after Feb. 28. 
 236 
 
SATELLITE IV 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 X continued Motions of Mean Longitude and the Arguments for Days 
 
 12 
 
 '3 
 
 14 
 
 '5 
 
 16 
 
 17 
 
 il 
 
 19 
 
 20 
 
 21 
 
 22 
 
 Day 
 
 I 
 
 J 
 
 K 
 
 L 
 
 M 
 
 N 
 
 
 
 P 
 
 Q 
 
 R 
 
 June 8 
 
 y 
 0-4 
 
 d 
 879885 
 
 d 
 0-461 
 
 d 
 0-48 
 
 d 
 8-8113 
 
 d 
 8-848 
 
 d 
 7^3 
 
 d 
 7-04 
 
 d 
 
 d 
 8-22 
 
 9 
 
 0-4 
 
 979885 
 
 1-461 
 
 1-48 
 
 9-8II3 
 
 9-848 
 
 8-63 
 
 8-04 
 
 10-38 
 
 9'22 
 
 1O 
 
 0-4 
 
 10-79885 
 
 2-461 
 
 2-48 
 
 IO-8II3 
 
 10-848 
 
 9-63 
 
 9-04 
 
 11-38 
 
 10-22 
 
 11 
 
 0-4 
 
 1179885 
 
 3-461 
 
 3-48 
 
 II-8II3 
 
 11-848 
 
 
 IO-O4 
 
 12-38 
 
 II-22 
 
 12 
 
 0-4 
 
 1279885 
 
 4-461 
 
 4-48 
 
 12-8113 
 
 12-848 
 
 11-63 
 
 I I-O4 
 
 13'38 
 
 12-22 
 
 13 
 
 0-4 
 
 1379885 
 
 5-461 
 
 5-48 
 
 I3-8II3 
 
 13-848 
 
 12-63 
 
 I2-04 
 
 14-38 
 
 I3-22 
 
 14 
 
 0-5 
 
 1479885 
 
 6-461 
 
 6-48 
 
 14-8113 
 
 14-848 
 
 13-63 
 
 I3-04 
 
 
 I4-22 
 
 15 
 
 0-5 
 
 1579885 
 
 7-461 
 
 7- 4 8 
 
 I5-8II3 
 
 15-848 
 
 14-63 
 
 
 16-38 
 
 I5-22 
 
 16 
 
 
 0*10984 
 
 o-i 17 
 
 0-14 
 
 0-1237 
 
 0-164 
 
 
 15-04 
 
 075 
 
 I6-22 
 
 17 
 
 o'S 
 
 1-10984 
 
 in 17 
 
 1-14 
 
 I-I237 
 
 1-164 
 
 16-63 
 
 16-04 
 
 1-75 
 
 0-46 
 
 18 
 
 0-5 
 
 2-10984 
 
 2-117 
 
 2-14 
 
 2-1237 
 
 2-164 
 
 0-81 
 
 0-16 
 
 2-75 
 
 I- 4 6 
 
 19 
 
 o'S 
 
 3-10984 
 
 3-117 
 
 3-14 
 
 3'1237 
 
 3-164 
 
 1-81 
 
 1-16 
 
 375 
 
 2- 4 6 
 
 20 
 
 0-5 
 
 4-10984 
 
 4-117 
 
 4-14 
 
 4-1237 
 
 4-164 
 
 2-81 
 
 2-16 
 
 475 
 
 3-46 
 
 21 
 
 
 5-10984 
 
 5-117 
 
 5'H 
 
 5-1237 
 
 5-164 
 
 3'8i 
 
 3-16 
 
 575 
 
 4-46 
 
 22 
 
 0-5 
 
 6-10984 
 
 6-117 
 
 6-14 
 
 6-1237 
 
 6-164 
 
 4-81 
 
 4-16 
 
 6-75 
 
 5-46 
 
 23 
 
 0-5 
 
 7-10984 
 
 7-117 
 
 7-14 
 
 7'1237 
 
 7-164 
 
 5-81 
 
 5-16 
 
 775 
 
 6-46 
 
 24 
 
 o'S 
 
 8-10984 
 
 8-117 
 
 8-14 
 
 8-1237 
 
 8-164 
 
 6-81 
 
 6-16 
 
 875 
 
 7- 4 6 
 
 25 
 
 0-5 
 
 9-10984 
 
 0773 
 
 0-79 
 
 9-1237 
 
 9-164 
 
 7-81 
 
 7-16 
 
 975 
 
 8-46 
 
 26 
 
 0'5 
 
 10-10984 
 
 i-773 
 
 179 
 
 10-1237 
 
 10-164 
 
 8-81 
 
 8-16 
 
 1075 
 
 9-46 
 
 27 
 
 
 11-10984 
 
 2773 
 
 2-79 
 
 11-1237 
 
 11-164 
 
 9-81 
 
 9-16 
 
 11-75 
 
 10-46 
 
 28 
 
 o'S 
 
 12-10984 
 
 3773 
 
 379 
 
 I2-I237 
 
 12-164 
 
 10-81 
 
 10-16 
 
 1275 
 
 11-46 
 
 29 
 
 0-5 
 
 13-10984 
 
 4773 
 
 4-79 
 
 I3-I237 
 
 13-164 
 
 11-81 
 
 11*16 
 
 1375 
 
 12-46 
 
 30 
 
 0-5 
 
 14-10984 
 
 5773 
 
 579 
 
 I4-I237 
 
 14-164 
 
 12-81 
 
 12-16 
 
 H75 
 
 I3'46 
 
 July 1 
 
 0-5 
 
 15-10984 
 
 6'773 
 
 6-79 
 
 I5-I237 
 
 15-164 
 
 13-81 
 
 13-16 
 
 1575 
 
 14-46 
 
 2 
 
 o'S 
 
 16-10984 
 
 7773 
 
 779 
 
 16-I237 
 
 16-164 
 
 14-81 
 
 14-16 
 
 0-13 
 
 15-46 
 
 3 
 
 o'S 
 
 0-42082 
 
 0-428 
 
 0-45 
 
 0-4361 
 
 0-480 
 
 15-81 
 
 15-16 
 
 1-13 
 
 l6- 4 6 
 
 4 
 
 '5 
 
 1-42082 
 
 1-428 
 
 i '45 
 
 1-4361 
 
 1-480 
 
 O'OO 
 
 16-16 
 
 2-13 
 
 0- 7 I 
 
 5 
 
 o'S 
 
 2-42082 
 
 2-428 
 
 2-45 
 
 2-4361 
 
 2-480 
 
 I'OO 
 
 0-27 
 
 3'i3 
 
 I-7I 
 
 6 
 
 '5 
 
 3-42082 
 
 3-428 
 
 3 '45 
 
 3'43 6 i 
 
 3-480 
 
 2'OO 
 
 1-27 
 
 4' J 3 
 
 271 
 
 7 
 
 o'S 
 
 4-42082 
 
 4-428 
 
 4'45 
 
 4-4361 
 
 4-480 
 
 3-00 
 
 2-27 
 
 5'13 
 
 371 
 
 8 
 
 0-5 
 
 5-42082 
 
 5-428 
 
 5 '45 
 
 5-4361 
 
 5-480 
 
 4-00 
 
 3-27 
 
 6-13 
 
 471 
 
 9 
 
 o'S 
 
 6-42082 
 
 6-428 
 
 6-45 
 
 6-4361 
 
 6-480 
 
 5-00 
 
 4-27 
 
 7-13 
 
 5-7I 
 
 10 
 
 o'S 
 
 7-42082 
 
 7-428 
 
 7'4S 
 
 7-4361 
 
 7-480 
 
 6-00 
 
 5' 2 7 
 
 8-13 
 
 6 7 I 
 
 11 
 
 
 8-42082 
 
 0-084 
 
 O'l I 
 
 8-4361 
 
 8-480 
 
 7-00 
 
 6-27 
 
 9-13 
 
 771 
 
 12 
 
 o'S 
 
 9-42082 
 
 1-084 
 
 i-ii 
 
 9-4361 
 
 9-480 
 
 8-00 
 
 7-27 
 
 10-13 
 
 871 
 
 13 
 
 0-5 
 
 10-42082 
 
 2-084 
 
 2-II 
 
 10-4361 
 
 10-480 
 
 9-00 
 
 8-27 
 
 11-13 
 
 9 7I 
 
 14 
 
 0-5 
 
 I 1*42082 
 
 3-084 
 
 3'" 
 
 11-4361 
 
 11-480 
 
 lO'OO 
 
 9-27 
 
 12-13 
 
 IO-7I 
 
 15 
 
 
 12-42082 
 
 4-084 
 
 4-11 
 
 12-4361 
 
 12-480 
 
 II'OO 
 
 10-27 
 
 13-13 
 
 II7I 
 
 16 
 
 o'S 
 
 13-42082 
 
 5-084 
 
 5-11 
 
 13-4361 
 
 13-480 
 
 I2'OO 
 
 11-27 
 
 14-13 
 
 1271 
 
 17 
 
 o'S 
 
 14-42082 
 
 6-084 
 
 6-1 1 
 
 14-4361 
 
 14-480 
 
 13-00 
 
 12-27 
 
 15-13 
 
 1371 
 
 18 
 
 0-5 
 
 15-42082 
 
 7-084 
 
 7-11 
 
 i5'436i 
 
 15-480 
 
 14-00 
 
 13-27 
 
 16-13 
 
 1471 
 
 19 
 
 'S 
 
 16-42082 
 
 8-084 
 
 
 16-4361 
 
 16-480 
 
 15-00 
 
 14-27 
 
 0-50 
 
 1571 
 
 20 
 
 0-6 
 
 O'73l8l 
 
 0-740 
 
 0-76 
 
 0-7484 
 
 0797 
 
 16-00 
 
 15-27 
 
 1-50 
 
 1671 
 
 21 
 
 0-6 
 
 I7318I 
 
 1-740 
 
 176 
 
 1-7484 
 
 1797 
 
 o-i 8 
 
 16-27 
 
 2-50 
 
 0-96 
 
 22 
 
 0-6 
 
 273181 
 
 2740 
 
 2-76 
 
 27484 
 
 2797 
 
 I'll 
 
 0-39 
 
 3-50 
 
 1-96 
 
 23 
 
 0-6 
 
 373l8l 
 
 3-740 
 
 376 
 
 37484 
 
 3797 
 
 2-18 
 
 1-39 
 
 4-50 
 
 2-96 
 
 24 
 25 
 
 0-6 
 0-6 
 
 473I8I 
 
 4740 
 5-740 
 
 476 
 5-76 
 
 47484 
 57484 
 
 4797 
 5797 
 
 3-18 
 4-18 
 
 2-39 
 3-39 
 
 5'5 
 6-50 
 
 3-96 
 4-96 
 
 26 
 
 0-6 
 
 6-73181 
 
 674 
 
 6-76 
 
 67484 
 
 6797 
 
 5-18 
 
 4'39 
 
 7-50 
 
 5-96 
 
 27 
 
 0-6 
 
 773I8I 
 
 7740 
 
 776 
 
 77484 
 
 7797 
 
 6-18 
 
 5'39 
 
 8-50 
 
 6-96 
 
 28 
 
 0-6 
 
 873l8l 
 
 0-396 
 
 0-42 
 
 87484 
 
 8-797 
 
 7-18 
 
 6'39 
 
 9-50 
 
 7-96 
 
 8f 
 
 29 
 
 0-6 
 
 973I8I 
 
 1-396 
 
 1-42 
 
 9-7484 
 
 9-797 
 
 8-18 
 
 7'39 
 
 10-50 
 
 96 
 
 
 . 
 
 
 
 
 t 
 
 
 In Leap Year diminish the date in Columns i, 12, by i day after Feb. 28- 
 *37 
 
SATELLITE IV 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 X continued Motions of Mean Longitude and the Arguments for Days 
 
 I 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 10 
 
 ii 
 
 Day 
 
 Mean Long. 
 
 A 
 
 B 
 
 c 
 
 D 
 
 E 
 
 F 
 
 G 
 
 H 
 
 a 
 
 July 3O 
 
 o 
 
 231-50413 
 
 d 
 1-24 
 
 d 
 
 3 '49 
 
 d 
 IO-628 
 
 d 
 
 10-668 
 
 d 
 I07I452 
 
 d 
 10-368 
 
 d 
 I- 5 8 
 
 d 
 9-194 
 
 d 
 21 I'O 
 
 31 
 
 253-07524 
 
 O-26 
 
 4'49 
 
 II-628 
 
 11-668 
 
 II7I452 
 
 11-368 
 
 2- 5 8 
 
 10-194 
 
 2I2-O 
 
 Aug. 1 
 
 274-64635 
 
 1-26 
 
 0-98 
 
 O-IO5 
 
 12-668 
 
 I27I452 
 
 12-368 
 
 3-58 
 
 11-194 
 
 213-0 
 
 2 
 
 296-21746 
 
 0-28 
 
 1-98 
 
 I-I05 
 
 13-668 
 
 I37I452 
 
 I3-368 
 
 4-58 
 
 12-194 
 
 214-0 
 
 3 
 
 31778857 
 
 1-28 
 
 2-98 
 
 2-IO5 
 
 14-668 
 
 I47I452 
 
 14-368 
 
 5- 5 8 
 
 I3-I94 
 
 2I5-0 
 
 4 
 
 339-35968 
 
 0-30 
 
 3-98 
 
 3-I05 
 
 15-668 
 
 I57H52 
 
 I5-368 
 
 6-58 
 
 14-194 
 
 216-0 
 
 5 
 
 0-93079 
 
 I-30 
 
 0-47 
 
 4-105 
 
 16-668 
 
 0-02406 
 
 16-368 
 
 7-58 
 
 15-I94 
 
 2I7-O 
 
 6 
 
 22-50190 
 
 0-32 
 
 1-47 
 
 5-I05 
 
 0-973 
 
 1-02406 
 
 I7-368 
 
 O'2O 
 
 16-194 
 
 2l8'0 
 
 7 
 
 44-07301 
 
 I-32 
 
 2-47 
 
 6-IO5 
 
 ''973 
 
 2*02406 
 
 18-368 
 
 I -2O 
 
 0-377 
 
 219-0 
 
 8 
 
 65-64412 
 
 0'34 
 
 3'47 
 
 7-I05 
 
 z'973 
 
 3-02406 
 
 19-368 
 
 2-2O 
 
 i'377 
 
 22O'O 
 
 9 
 
 87-21523 
 
 i'34 
 
 4H7 
 
 8-105 
 
 3-973 
 
 4-02406 
 
 20-368 
 
 3'2O 
 
 2-377 
 
 221-O 
 
 1O 
 
 108-78634 
 
 0-36 
 
 0-96 
 
 9-I05 
 
 4-973 
 
 5-02406 
 
 21-368 
 
 4'2O 
 
 3-377 
 
 222-0 
 
 11 
 
 1 30-35745 
 
 1-36 
 
 1-96 
 
 IO-IO5 
 
 S'973 
 
 6-02406 
 
 22-368 
 
 5-20 
 
 4-377 
 
 223-0 
 
 12 
 
 151-92856 
 
 0-38 
 
 2-96 
 
 II-IO5 
 
 6-973 
 
 7-02406 
 
 23-368 
 
 6'20 
 
 5'377 
 
 224-0 
 
 13 
 
 173-49967 
 
 1-38 
 
 3-96 
 
 I2-I05 
 
 7-973 
 
 8-02406 
 
 24-368 
 
 7-20 
 
 6-377 
 
 225-0 
 
 14 
 
 195-07078 
 
 0-40 
 
 0-45 
 
 0-582 
 
 S'973 
 
 9-02406 
 
 25-368 
 
 8-20 
 
 7-377 
 
 226-O 
 
 15 
 
 216-64189 
 
 1-40 
 
 i '45 
 
 1-582 
 
 9'973 
 
 10-02406 
 
 26-368 
 
 0-83 
 
 8-377 
 
 227-0 
 
 16 
 
 238-21300 
 
 o-43 
 
 2-45 
 
 2-582 
 
 10-973 
 
 II-O24O6 
 
 27-368 
 
 1-83 
 
 9-377 
 
 228-0 
 
 17 
 
 259-78411 
 
 ''43 
 
 3'45 
 
 3-582 
 
 u-973 
 
 I2-02406 
 
 28-368 
 
 2-83 
 
 10-377 
 
 229-0 
 
 18 
 
 281-35521 
 
 0-45 
 
 4'45 
 
 4-582 
 
 12-973 
 
 13-02406 
 
 29-368 
 
 3-83 
 
 11-377 
 
 23O-O 
 
 19 
 
 302*92632 
 
 i'4S 
 
 0-94 
 
 5-582 
 
 I3-973 
 
 14-02406 
 
 30-368 
 
 4-83 
 
 12-377 
 
 231-0 
 
 20 
 
 324H9743 
 
 0-47 
 
 i '94 
 
 6-582 
 
 14-973 
 
 15-02406 
 
 3I-368 
 
 5-83 
 
 I3-377 
 
 232-D 
 
 21 
 
 346-06854 
 
 i '47 
 
 2-94 
 
 7-582 
 
 IS'973 
 
 16-02406 
 
 32-368 
 
 6-83 
 
 I4-377 
 
 233-0 
 
 22 
 
 7-63965 
 
 0-49 
 
 3"94 
 
 8-582 
 
 0-279 
 
 0-33361 
 
 33^68 
 
 7-83 
 
 IS'377 
 
 234-0 
 
 23 
 
 29-21076 
 
 1-49 
 
 0-42 
 
 9 -582 
 
 1-279 
 
 I-3336I 
 
 34-368 
 
 0-45 
 
 16-377 
 
 235-0 
 
 24 
 
 50-78187 
 
 0-51 
 
 1-42 
 
 10-582 
 
 2-279 
 
 2-3336I 
 
 35-368 
 
 '45 
 
 0-560 
 
 236-0 
 
 25 
 
 72-35298 
 
 1-51 
 
 2-42 
 
 II-582 
 
 3-2/9 
 
 3-33361 
 
 36-368 
 
 2-45 
 
 1-560 
 
 237-0 
 
 26 
 
 93-92409 
 
 o-53 
 
 3'4 2 
 
 0-058 
 
 4-279 
 
 4-33361 
 
 37-368 
 
 3-45 
 
 2-560 
 
 238-0 
 
 27 
 
 115-49520 
 
 i-53 
 
 4-42 
 
 1-058 
 
 5-279 
 
 5-3336I 
 
 38-368 
 
 4-45 
 
 3-560 
 
 239-0 
 
 28 
 
 137-06631 
 
 0-55 
 
 0-91 
 
 2-058 
 
 6-279 
 
 6-33361 
 
 39-368 
 
 5-45 
 
 4-56o 
 
 240-0 
 
 29 
 
 158-63742 
 
 i'5S 
 
 1-91 
 
 3-058 
 
 7-279 
 
 7-3336I 
 
 40-368 
 
 6-45 
 
 5-560 
 
 241-0 
 
 30 
 
 180-20853 
 
 0-57 
 
 2-91 
 
 4-058 
 
 8-279 
 
 8-3336I 
 
 41-368 
 
 7-45 
 
 6-560 
 
 242-0 
 
 31 
 
 20177964 
 
 1-57 
 
 3'9' 
 
 5-058 
 
 9-279 
 
 9'333 6 I 
 
 42-368 
 
 0-07 
 
 7-560 
 
 243-0 
 
 Sept. i 
 
 223-35075 
 
 0-59 
 
 0-40 
 
 6-058 
 
 10-279 
 
 10-33361 
 
 43-368 
 
 1-07 
 
 8-560 
 
 244-0 
 
 2 
 
 244-92186 
 
 1-59 
 
 1-40 
 
 7-058 
 
 11-279 
 
 II-3336I 
 
 44-368 
 
 2-07 
 
 9-560 
 
 245-0 
 
 3 
 
 266-49297 
 
 0-62 
 
 2-40 
 
 8-058 
 
 12-279 
 
 I2-3336I 
 
 45-368 
 
 3-07 
 
 10-560 
 
 246-0 
 
 4 
 
 288-06408 
 
 1-62 
 
 3'40 
 
 9-058 
 
 13-279 
 
 I3-3336I 
 
 46-368 
 
 4-07 
 
 11-560 
 
 247-0 
 
 5 
 
 309-63519 
 
 0-64 
 
 4-40 
 
 IO-O58 
 
 14-279 
 
 H-3336I 
 
 47-368 
 
 5-07 
 
 12-560 
 
 248-0 
 
 6 
 
 331-20630 
 
 1-64 
 
 0-89 
 
 11-058 
 
 15-279 
 
 15-33361 
 
 48-368 
 
 6-07 
 
 13-560 
 
 249-0 
 
 7 
 
 3527774! 
 
 0-66 
 
 1-89 
 
 12-058 
 
 16-279 
 
 16-33361 
 
 49-368 
 
 7-07 
 
 14-560 
 
 25O-O 
 
 8 
 
 14-34852 
 
 1-66 
 
 2-89 
 
 '535 
 
 0-584 
 
 0-64315 
 
 O'2I I 
 
 8-07 
 
 15-560 
 
 25I-0 
 
 9 
 
 35-91963 
 
 0-68 
 
 3-89 
 
 1-535 
 
 1-584 
 
 1-64315 
 
 T2II 
 
 0-70 
 
 16-560 
 
 252-0 
 
 1O 
 
 57-49074 
 
 1-68 
 
 0-38 
 
 2-535 
 
 2-584 
 
 2-64315 
 
 2-21 I 
 
 1-70 
 
 0743 
 
 253-0 
 
 11 
 
 79-06185 
 
 070 
 
 1-38 
 
 3-535 
 
 3-584 
 
 3-64315 
 
 3*211 
 
 2-70 
 
 1743 
 
 254-0 
 
 12 
 
 100-63296 
 
 1-70 
 
 2-38 
 
 4-535 
 
 4-584 
 
 4-64315 
 
 4-2II 
 
 3-70 
 
 2-743 
 
 255-0 
 
 13 
 
 122-20407 
 
 0-72 
 
 3-38 
 
 5-535 
 
 5-584 
 
 5-643I5 
 
 5 -2 1 1 
 
 4-70 
 
 3743 
 
 256-0 
 
 14 
 
 H3775I7 
 
 172 
 
 418 
 
 6-535 
 
 6-584 
 
 6-64315 
 
 6'21I 
 
 5-70 
 
 4-743 
 
 257-0 
 
 15 
 
 165-34628 
 
 0-74 
 
 0-87 
 
 7-535 
 
 7-584 
 
 7-64315 
 
 7-211 
 
 6-70 
 
 5743 
 
 258-0 
 
 16 
 
 186-91739 
 
 1-74 
 
 1-87 
 
 8-535 
 
 8-584 
 
 8-64315 
 
 8-2II 
 
 7-70 
 
 6-743 
 
 259-0 
 
 17 
 
 208-48850 
 
 0-76 
 
 2-87 
 
 9-535 
 
 9-584 
 
 9-64315 
 
 9-211 
 
 0-32 
 
 7743 
 
 26O-0 
 
 18 
 
 230-05961 
 
 1-76 
 
 3-87 
 
 10-535 
 
 10-584 
 
 10-64315 
 
 10-211 
 
 1-32 
 
 8743 
 
 26ro 
 
 19 
 
 251-63072 0-78 
 
 0-36 
 
 n'535 
 
 11-584 
 
 11-64315 
 
 ll'2ll 
 
 2-32 
 
 9743 
 
 262-0 
 
 
 i 
 
 
 
 
 
 
 
 
 
 In Leap Year dimmish the date in Columns i, i>, by i day after Feb. 28. 
 238 
 
SATELLITE IV 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 X continued Motions of Mean Longitude and the Arguments for Days 
 
 12 
 
 3 
 
 M 
 
 '5 
 
 16 
 
 17 18 
 
 '9 
 
 20 
 
 21 
 
 22 
 
 Day 
 
 1 
 
 J 
 
 K 
 
 L 
 
 M 
 
 N 
 
 O 
 
 p 
 
 Q 
 
 R 
 
 July 3O 
 
 y 
 0-6 
 
 d 
 I0'73l8l 
 
 d 
 2-396 
 
 d 
 2-42 
 
 d 
 107484 
 
 d 
 10797 
 
 d 
 9-l8 
 
 d 
 8-39 
 
 d 
 I1-50 
 
 d 
 9-96 
 
 31 
 
 0-6 
 
 II73l8l 
 
 3-396 
 
 3-42 
 
 11-7484 
 
 11-797 
 
 10-18 
 
 9-39 
 
 12-50 
 
 10-96 
 
 Aug. 1 
 
 0-6 
 
 I2-73l8l 
 
 4-396 
 
 4-42 
 
 127484 
 
 12-797 
 
 11-18 
 
 10-39 
 
 "3-50 
 
 11-96 
 
 2 
 
 0-6 
 
 I373I8I 
 
 S-Sg 6 
 
 5-42 
 
 I374 8 4 
 
 13797 
 
 12-18 
 
 11-39 
 
 14-50 
 
 12-96 
 
 3 
 
 0-6 
 
 I473I8I 
 
 6-396 
 
 6-42 
 
 14-7484 
 
 14797 
 
 13-18 
 
 12-39 
 
 I5-50 
 
 13-96 
 
 4 
 
 0-6 
 
 I5-73I8I 
 
 7-396 
 
 7-42 
 
 157484 
 
 15797 
 
 14-18 
 
 I3-39 
 
 16-50 
 
 14-96 
 
 5 
 
 0-6 
 
 O'O4279 
 
 0-052 
 
 0-08 
 
 O-o6o8 
 
 0-113 
 
 15-18 
 
 14-39 
 
 0-88 
 
 15-96 
 
 6 
 
 0-6 
 
 1-04279 
 
 I-O52 
 
 1-08 
 
 I -0608 
 
 rnj 
 
 16-18 
 
 15-39 
 
 1-88 
 
 O'20 
 
 7 
 
 0-6 
 
 2-04279 
 
 2-O52 
 
 2-08 
 
 2 - o6o8 
 
 2-113 
 
 0-36 
 
 I6-39 
 
 2-88 
 
 1-20 
 
 8 
 
 0-6 
 
 3-04279 
 
 3-052 
 
 3-08 
 
 3-0608 
 
 3-i'3 
 
 1-36 
 
 0-5I 
 
 3-88 
 
 2'2O 
 
 9 
 
 0-6 
 
 4-04279 
 
 4-052 
 
 4-08 
 
 4-0608 
 
 4-"3 
 
 2-36 
 
 I-5I 
 
 4-88 
 
 3-2O 
 
 10 
 
 0-6 
 
 5-04279 
 
 5-052 
 
 5-08 
 
 5-0608 
 
 5-113 
 
 3-36 
 
 2-5I 
 
 5-88 
 
 4-20 
 
 11 
 
 0-6 
 
 6-04279 
 
 6-052 
 
 6-08 
 
 6-0608 
 
 6-113 
 
 4-36 
 
 3-5I 
 
 6-88 
 
 5-20 
 
 12 
 
 0-6 
 
 7-04279 
 
 7-052 
 
 7-08 
 
 7-0608 
 
 7-ii3 
 
 5-36 
 
 4'5 > 
 
 7-88 
 
 6-20 
 
 13 
 
 0-6 
 
 8-04279 
 
 8-052 
 
 8-08 
 
 8-0608 
 
 8-113 
 
 6-36 
 
 5'S 1 
 
 8-88 
 
 7-20 
 
 14 
 
 0-6 
 
 9-04279 
 
 0-708 
 
 0-73 
 
 9-0608 
 
 9-113 
 
 7-36 
 
 6-51 
 
 9-88 
 
 8-20 
 
 15 
 
 0-6 
 
 10-04279 
 
 I-708 
 
 173 
 
 IO-o6o8 
 
 10-113 
 
 8-36 
 
 7-51 
 
 10-88 
 
 9-20 
 
 16 
 
 0-6 
 
 I 1-04279 
 
 2-708 
 
 273 
 
 Il-O6o8 
 
 11-113 
 
 9-36 
 
 8-51 
 
 u-88 
 
 IO-2O 
 
 17 
 
 0-6 
 
 12-04279 
 
 3708 
 
 373 
 
 I2-0608 
 
 12-113 
 
 10-36 
 
 9-51 
 
 I2'88 
 
 I I -2O 
 
 18 
 
 0-6 
 
 13-04279 
 
 4-708 
 
 473 
 
 13-0608 
 
 13-113 
 
 11-36 
 
 10-51 
 
 13-88 
 
 I2-2O 
 
 19 
 
 0-6 
 
 14-04279 
 
 5708 
 
 5-73 
 
 14-0608 
 
 14-113 
 
 12-36 
 
 11-51 
 
 14-88 
 
 I3-2O 
 
 20 
 
 0-6 
 
 15-04279 
 
 6708 
 
 673 
 
 15-0608 
 
 15-113 
 
 13-36 
 
 12-51 
 
 15-88 
 
 14-20 
 
 21 
 
 0-6 
 
 16-04279 
 
 7708 
 
 773 
 
 16-0608 
 
 16-113 
 
 14-36 
 
 13-51 
 
 0-25 
 
 I5-2O 
 
 
 
 22 
 
 0-6 
 
 0-35377 
 
 0-363 
 
 o-39 
 
 o-373* 
 
 0-430 
 
 15-36 
 
 14-51 
 
 1-25 
 
 16-20 
 
 23 
 
 0-6 
 
 '35377 
 
 I-363 
 
 i-39 
 
 1-3732 
 
 I-430 
 
 16-36 
 
 15-51 
 
 2-25 
 
 0-45 
 
 24 
 
 0-6 
 
 *'35377 
 
 2-363 
 
 2-39 
 
 2-3732 
 
 2-430 
 
 0-54 
 
 16-51 
 
 3'*5 
 
 i-45 
 
 25 
 
 0-6 
 
 3-35377 
 
 3-363 
 
 3-39 
 
 3-3732 
 
 3-430 
 
 i'54 
 
 0*62 
 
 4' 2 5 
 
 2-45 
 
 26 
 
 07 
 
 4"35377 
 
 4-363 
 
 4-39 
 
 4-3732 
 
 4-430 
 
 2-54 
 
 1-62 
 
 l\\ 
 
 3'45 
 
 27 
 
 07 
 
 S'35377 
 
 5-363 
 
 5-39 
 
 5-3732 
 
 5-430 
 
 3'54 
 
 2-62 
 
 6-25 
 
 4'45 
 
 28 
 
 0-7 
 
 6-35377 
 
 6-363 
 
 6-39 
 
 6-3732 
 
 6-430 
 
 4-54 
 
 3-62 
 
 7-25 
 
 5'45 
 
 29 
 
 07 
 
 7-35377 
 
 7-363 
 
 7-39 
 
 7-3732 
 
 7-430 
 
 5-54 
 
 4-62 
 
 8-25 
 
 6-45 
 
 30 
 
 07 
 
 8-35377 
 
 O-Oig 
 
 0-05 
 
 8-3732 
 
 8-430 
 
 6'54 
 
 & 
 
 9-25 
 
 7'45 
 
 8. _ 
 
 31 
 
 0-7 
 
 9'35377 
 
 I-Oig 
 
 1-05 
 
 9'3732 
 
 9-430 
 
 7-54 
 
 6-62 
 
 
 
 10*25 
 
 45 
 
 Sept. 1 
 
 2 
 
 07 
 
 0-7 
 
 io-35377 
 n-35377 
 
 2-OI9 
 3-OI9 
 
 2-05 
 3-05 
 
 10-3732 
 11-3734 
 
 10-430 
 11-430 
 
 8-54 
 9'54 
 
 7-62 
 8-62 
 
 11-25 
 12-25 
 
 9'45 
 
 10-45 
 
 3 
 4 
 
 5 
 6 
 
 7 
 
 07 
 07 
 0-7 
 07 
 07 
 
 12-35377 
 I3-35377 
 4-35377 
 I5-35377 
 16-35377 
 
 4-OI9 
 5-OI9 
 6-OI9 
 7-OI9 
 8-OI9 
 
 4-05 
 
 5-05 
 6-05 
 7-05 
 8-05 
 
 12-3732 
 I3-3732 
 14-3732 
 15-3732 
 16-3732 
 
 12-430 
 13-430 
 14-430 
 I5-430 
 16-430 
 
 10-54 
 11-54 
 12-54 
 I3-54 
 H'54 
 
 9-62 
 I0'62 
 I1-62 
 I2-62 
 13-62 
 
 13-25 
 14-25 
 15-25 
 16-25 
 0-63 
 
 11-45 
 12-45 
 I3M-5 
 >4'45 
 I5-45 
 
 8 
 9 
 1O 
 11 
 12 
 
 07 
 07 
 07 
 
 07 
 07 
 
 0-66476 
 1-66476 
 2-66476 
 3-66476 
 4-66476 
 
 0^75 
 1-675 
 
 2-675 
 3^75 
 4^75 
 
 071 
 171 
 
 2-71 
 
 37' 
 471 
 
 0-6855 
 1-6855 
 2-6855 
 
 3-6855 
 4-6855 
 
 0-746 
 1746 
 
 2-746 
 3-746 
 4-746 
 
 5'54 
 16-54 
 0-72 
 172 
 272 
 
 14-62 
 15-62 
 I6-62 
 074 
 '74 
 
 1-63 
 2-63 
 3-63 
 4-63 
 5-63 
 
 16-45 
 0-70 
 170 
 
 2-70 
 370 
 
 13 
 14 
 15 
 16 
 17 
 
 07 
 07 
 07 
 07 
 07 
 
 5-66476 
 6-66476 
 7-66476 
 8-66476 
 9-66476 
 
 5^75 
 6-675 
 
 7-675 
 0-33I 
 I-331 
 
 5-71 
 671 
 771 
 0-36 
 1-36 
 
 5-6855 
 6-6855 
 
 7-6855 
 8-6855 
 9-6855 
 
 5-746 
 6-746 
 
 7-746 
 8-746 
 
 9746 
 
 372 
 
 4-72 
 572 
 672 
 772 
 
 2-74 
 
 374 
 474 
 574 
 6-74 
 
 6-63 
 
 7-63 
 8-63 
 
 9- 6 3 
 10-63 
 
 4-70 
 570 
 6-70 
 770 
 8-70 
 
 18 
 19 
 
 07 
 07 
 
 10-66476 
 11-66476 
 
 2-331 
 3'33' 
 
 2-36 
 3-36 
 
 10-6855 
 11-6855 
 
 10-746 
 11746 
 
 872 
 9-72 
 
 774 
 874 
 
 11-63 
 12-63 
 
 970 
 1070 
 
 In Leap Year diminish the date in Colnmns i, 12, by i day after Feb. 28. 
 
SATELLITE IV 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 X continued Motions of Mean Longitude and the Arguments for Days 
 
 I 
 
 z 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 g 
 
 9 
 
 IO 
 
 ii 
 
 Day 
 
 Mean Long. 
 
 A 
 
 B 
 
 c 
 
 D 
 
 E 
 
 F 
 
 G 
 
 H 
 
 a 
 
 Sept. 2O 
 
 o 
 
 273-20183 
 
 d 
 
 I- 7 8 
 
 d 
 1-36 
 
 d 
 O-OI2 
 
 d 
 12-584 
 
 d 
 12-64315 
 
 d 
 12*211 
 
 d 
 3-32 
 
 d 
 10743 
 
 d 
 263-0 
 
 21 
 
 29477294 
 
 0-80 
 
 2- 3 6 
 
 I'OI2 
 
 I3-584 
 
 13-64315 
 
 T3-2II 
 
 4-32 
 
 U'743 
 
 264*0 
 
 22 
 
 316-34405 
 
 I -80 
 
 3-36 
 
 2'OI2 
 
 14-584 
 
 14-64315 
 
 14-21 I 
 
 5-32 
 
 12 743 
 
 265*0 
 
 23 
 
 337-91516 
 
 0-83 
 
 4'36 
 
 3'OI2 
 
 15-584 
 
 15-64315 
 
 I5-2II 
 
 6-32 
 
 13743 
 
 266-O 
 
 24 
 
 359-48627 
 
 I-8 3 
 
 0-85 
 
 4-012 
 
 16-584 
 
 16-64315 
 
 16-211 
 
 7-32 
 
 H743 
 
 267-0 
 
 25 
 
 21-05738 
 
 0-85 
 
 I-8 S 
 
 5'OI2 
 
 0-890 
 
 0-95269 
 
 I7-2II 
 
 8*32 
 
 15743 
 
 268-0 
 
 26 
 
 42-62849 
 
 I-8 5 
 
 2-85 
 
 6*O I 2 
 
 I-SgO 
 
 1-95269 
 
 I8-2II 
 
 0-94 
 
 16743 
 
 269-0 
 
 27 
 
 64-19960 
 
 0-87 
 
 3-85 
 
 7-OI2 
 
 2*890 
 
 2-95269 
 
 I9*2II 
 
 I- 9 4 
 
 0-926 
 
 27O-O 
 
 28 
 
 85-77071 
 
 I-8 7 
 
 0-34 
 
 8-012 
 
 3-890 
 
 3-95269 
 
 20-211 
 
 2-94 
 
 1-926 
 
 2/1-O 
 
 29 
 
 107-34182 
 
 0-89 
 
 i'34 
 
 9-012 
 
 4-890 
 
 4-95269 
 
 21*211 
 
 3'94 
 
 2-926 
 
 272*0 
 
 30 
 
 128-91293 
 
 1-89 
 
 2-34 
 
 IO'OI2 
 
 5-890 
 
 5-95269 
 
 22-211 
 
 4'94 
 
 3*926 
 
 273-0 
 
 Oct. 1 
 
 150-48404 
 
 0-91 
 
 3-34 
 
 II-OI2 
 
 6-890 
 
 6-95269 
 
 23-2II 
 
 S'94 
 
 4-926 
 
 274-0 
 
 2 
 
 172-05515 
 
 I- 9 I 
 
 4'34 
 
 12-012 
 
 7-890 
 
 7-95269 
 
 24-21I 
 
 6-94 
 
 5-926 
 
 275-0 
 
 3 
 
 193-62626 
 
 0-93 
 
 0-82 
 
 0-489 
 
 8-890 
 
 8-95269 
 
 25*2II 
 
 7'94 
 
 6-926 
 
 276*0 
 
 4 
 
 215-19737 
 
 i-93 
 
 1-82 
 
 1-489 
 
 9-890 
 
 9-95269 
 
 26*2II 
 
 0-57 
 
 7-926 
 
 277*0 
 
 5 
 
 236-76848 
 
 0-95 
 
 2-82 
 
 2-489 
 
 lO-SgO 
 
 10-95269 
 
 27-21I 
 
 1-57 
 
 8-926 
 
 278-0 
 
 6 
 
 258-33959 
 
 1-95 
 
 3-82 
 
 3-4 8 9 
 
 Il-SgO 
 
 11-95269 
 
 28*211 
 
 2*57 
 
 9*926 
 
 279-0 
 
 7 
 
 279-91070 
 
 0-97 
 
 0-31 
 
 4-489 
 
 12-890 
 
 12-95269 
 
 29-2II 
 
 3-57 
 
 10*926 
 
 28O-O 
 
 8 
 
 301-48181 
 
 1-97 
 
 I'll 
 
 5-489 
 
 13-890 
 
 13-95269 
 
 3O*2U 
 
 4'57 
 
 11*926 
 
 28I-0 
 
 9 
 
 323-05292 
 
 0-99 
 
 2-31 
 
 6-489 
 
 14-890 
 
 14-95269 
 
 31*211 
 
 5-57 
 
 12-926 
 
 282-0 
 
 1O 
 
 344-62403 
 
 O'O2 
 
 3-3I 
 
 7-489 
 
 15-890 
 
 15-95269 
 
 32*211 
 
 6*57 
 
 13*926 
 
 283-0 
 
 11 
 
 6-19513 
 
 I -O2 
 
 4-3i 
 
 8-489 
 
 0-196 
 
 0-26224 
 
 33*211 
 
 7-57 
 
 14*926 
 
 284-0 
 
 12 
 
 2776624 
 
 0-04 
 
 0-80 
 
 9-489 
 
 1-196 
 
 1-26224 
 
 34*211 
 
 0*19 
 
 15*926 
 
 285-0 
 
 13 
 
 49'33735 
 
 1-04 
 
 i -80 
 
 10*489 
 
 2-196 
 
 2-26224 
 
 35*211 
 
 1*19 
 
 0-109 
 
 286-0 
 
 14 
 
 70-90846 
 
 o - o6 
 
 2-80 
 
 11-489 
 
 3-196 
 
 3-26224 
 
 36*211 
 
 2-19 
 
 1-109 
 
 287-0 
 
 15 
 
 92-47957 
 
 i -06 
 
 3-80 
 
 12-489 
 
 4-196 
 
 4-26224 
 
 37*211 
 
 3-i9 
 
 2-109 
 
 288-0 
 
 16 
 
 1 14-05068 
 
 0-08 
 
 0-29 
 
 0-965 
 
 5-196 
 
 5-26224 
 
 38*211 
 
 4-19 
 
 3-109 
 
 289-0 
 
 17 
 
 135-62179 
 
 i -08 
 
 1-29 
 
 1-965 
 
 6-196 
 
 6-26224 
 
 39-211 
 
 5*19 
 
 4-109 
 
 29O-O 
 
 18 
 
 157-19290 
 
 o-io 
 
 2-29 
 
 2-965 
 
 7-196 
 
 7*26224 
 
 40*211 
 
 6-19 
 
 5-109 
 
 29I-O 
 
 19 
 
 178-76401 
 
 no 
 
 3-29 
 
 3'9 6 5 
 
 8-196 
 
 8-26224 
 
 41*211 
 
 7-19 
 
 6*109 
 
 292-O 
 
 20 
 
 200-33512 
 
 O'I2 
 
 4-29 
 
 4-965 
 
 9-196 
 
 9-26224 
 
 42*211 
 
 8-19 
 
 7*109 
 
 293-0 
 
 21 
 
 221-90623 
 
 ri2 
 
 0-78 
 
 5-965 
 
 IO-I96 
 
 10-26224 
 
 43*211 
 
 0-81 
 
 8*109 
 
 294-0 
 
 22 
 
 243-47734 
 
 0-14 
 
 178 
 
 6-965 
 
 iri96 
 
 11-26224 
 
 44*211 
 
 1-81 
 
 9*109 
 
 295-0 
 
 23 
 
 265-04845 
 
 1-14 
 
 278 
 
 7-965 
 
 12-196 
 
 12-26224 
 
 45-211 
 
 2-81 
 
 10*109 
 
 296-0 
 
 24 
 
 286-61956 
 
 0-16 
 
 378 
 
 8-965 
 
 13-196 
 
 13-26224 
 
 46*211 
 
 3-8i 
 
 11*109 
 
 297-0 
 
 25 
 
 308-19067 
 
 1-16 
 
 0-27 
 
 9-965 
 
 14-196 
 
 14-26224 
 
 47*211 
 
 4-81 
 
 12*109 
 
 298-0 
 
 26 
 
 32976178 
 
 0-18 
 
 1-27 
 
 10-965 
 
 I5-I96 
 
 15-26224 
 
 48-211 
 
 5-81 
 
 13*109 
 
 299-0 
 
 27 
 
 35I-33289 
 
 1-18 
 
 2-27 
 
 11-965 
 
 16-196 
 
 16-26224 
 
 49*211 
 
 6*81 
 
 14-109 
 
 3OO-O 
 
 28 
 
 12-90400 
 
 O'2I 
 
 3-27 
 
 0-442 
 
 O-5OI 
 
 0-57178 
 
 0-052 
 
 7-81 
 
 15*109 
 
 3OI*O 
 
 29 
 
 34-475" 
 
 I-2I 
 
 4-27 
 
 1-442 
 
 I-50I 
 
 r57I78 
 
 1*052 
 
 0*44 
 
 16-109 
 
 3O2-O 
 
 3O 
 
 56-04622 
 
 0-23 
 
 0-76 
 
 2-442 
 
 2-50I 
 
 2-57178 
 
 2-052 
 
 1*44 
 
 0-292 
 
 303-0 
 
 31 
 
 77-61733 
 
 I-2 3 
 
 176 
 
 3-442 
 
 3'5oi 
 
 3-57I78 
 
 3*052 
 
 2*44 
 
 1-292 
 
 304-0 
 
 Nov. 1 
 
 99-18844 
 
 0-25 
 
 2-76 
 
 4-442 
 
 4-501 
 
 4'57I78 
 
 4-052 
 
 3'44 
 
 2-292 
 
 305-0 
 
 2 
 
 12075955 
 
 1-25 
 
 376 
 
 5-442 
 
 5'5' 
 
 5-57I78 
 
 5-052 
 
 4-44 
 
 3-292 
 
 3O6-O 
 
 3 
 
 142-33066 
 
 0-27 
 
 0-25 
 
 6-442 
 
 6-501 
 
 6-57178 
 
 6-052 
 
 5'44 
 
 4-292 
 
 307*0 
 
 4 
 
 163-90177 
 
 1-27 
 
 1-25 
 
 7-442 
 
 7-501 
 
 7-57I78 
 
 7*052 
 
 6*44 
 
 5-292 
 
 308-0 
 
 5 
 
 185-47288 
 
 0-29 
 
 2-25 
 
 8-442 
 
 8-501 
 
 8-57178 
 
 8-052 
 
 7-44 
 
 6*292 
 
 309*0 
 
 6 
 
 207-04399 
 
 I-2 9 
 
 3-25 
 
 9-442 
 
 9-501 
 
 9-57178 
 
 9-052 
 
 0-06 
 
 7-292 
 
 3IO-O 
 
 7 
 
 228-61509 
 
 0-3I 
 
 4-25 
 
 10-442 
 
 10-501 
 
 IO-57I78 
 
 10-052 
 
 i -06 
 
 8*292 
 
 3II-0 
 
 8 
 
 250-18620 
 
 !< 3I 
 
 0-74 
 
 II-442 
 
 11-501 
 
 II-57I78 
 
 11*052 
 
 2-06 
 
 9-292 
 
 3I2-0 
 
 9 
 
 27175731 
 
 o'33 
 
 174 
 
 12-442 
 
 12-501 
 
 I2'57I78 
 
 12*052 
 
 3-06 
 
 10-292 
 
 3I3-0 
 
 1O 
 
 293-32842 
 
 i'33 
 
 274 
 
 0-919 
 
 13-501 
 
 13-57178 
 
 13-052 
 
 4-06 
 
 1 1-292 
 
 3I4-0 
 
 In Leap Year diminish the date in Columns i, 12, by r day after Feb. 28. 
 240 
 
SATELLITE IV 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 X continued Motions of Mean Longitude and the Arguments for Days 
 
 12 
 
 13 
 
 4 
 
 '5 
 
 16 
 
 17 
 
 it 
 
 '9 
 
 20 
 
 21 
 
 22 
 
 Day 
 
 1 
 
 J 
 
 K 
 
 L 
 
 M 
 
 IM 
 
 
 
 p 
 
 Q 
 
 R 
 
 
 7 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 d 
 
 Sept. 20 
 
 07 
 
 12-66476 
 
 4-33I 
 
 4-36 
 
 12-6855 
 
 12-746 
 
 10-72 
 
 9'74 
 
 I3-63 
 
 II-70 
 
 21 
 
 
 13-66476 
 
 5-33I 
 
 5-36 
 
 13-6855 
 
 13746 
 
 1172 
 
 1074 
 
 14-63 
 
 I2-70 
 
 22 
 
 O'7 
 
 14-66476 
 
 6-331 
 
 6-36 
 
 14-6855 
 
 14746 
 
 1272 
 
 II74 
 
 15-63 
 
 1370 
 
 23 
 
 0-7 
 
 15-66476 
 
 7-331 
 
 7-36 
 
 15-6855 
 
 15746 
 
 I3-72 
 
 12-74 
 
 o-oo 
 
 1470 
 
 24 
 
 07 
 
 16-66476 
 
 8-33' 
 
 0-02 
 
 16-6855 
 
 0-063 
 
 1472 
 
 374 
 
 I'OO 
 
 1570 
 
 25 
 
 0*7 
 
 0-97574 
 
 0-987 
 
 I'02 
 
 0-9979 
 
 1-063 
 
 1572 
 
 >474 
 
 2-OO 
 
 l670 
 
 26 
 
 07 
 
 1-97574 
 
 1-987 
 
 2-02 
 
 1-9979 
 
 2-063 
 
 16-72 
 
 >574 
 
 3'OO 
 
 0-94 
 
 27 
 
 07 
 
 2-97574 
 
 2-987 
 
 3'O2 
 
 2-9979 
 
 3-063 
 
 0-90 
 
 16-74 
 
 4"oo 
 
 1-94 
 
 28 
 
 0-7 
 
 3^7574 
 
 3-987 
 
 4'O2 
 
 3-9979 
 
 4-063 
 
 I-gO 
 
 0-85 
 
 5-00 
 
 2-94 
 
 29 
 
 07 
 
 4-97574 
 
 4-987 
 
 5-02 
 
 4-9979 
 
 5-063 
 
 2-90 
 
 1-85 
 
 6 - oo 
 
 3-94 
 
 30 
 
 07 
 
 5^7574 
 
 5-987 
 
 6'O2 
 
 S'9979 
 
 6-063 
 
 3-90 
 
 2-85 
 
 7-00 
 
 4'94 
 
 Oct. 1 
 
 0-8 
 
 6-97574 
 
 6-987 
 
 7-02 
 
 6*9979 
 
 7-063 
 
 4-90 
 
 3-85 
 
 8-00 
 
 5'94 
 
 2 
 
 0-8 
 
 7-97574 
 
 7-987 
 
 8*02 
 
 
 8-063 
 
 5-90 
 
 4-85 
 
 9*00 
 
 6-94 
 
 3 
 
 0-8 
 
 8-97574 
 
 0-643 
 
 0-68 
 
 8*9979 
 
 9-063 
 
 6-90 
 
 5-85 
 
 10*00 
 
 7-94 
 
 4 
 
 0-8 
 
 9-97574 
 
 1-643 
 
 1*68 
 
 9-9979 
 
 10-063 
 
 7-90 
 
 6-85 
 
 I I*OO 
 
 8-94 
 
 5 
 
 0-8 
 
 10-97574 
 
 2-643 
 
 2-68 
 
 10-9979 
 
 11-063 
 
 8-90 
 
 7-85 
 
 12-00 
 
 9^4 
 
 6 
 
 0-8 
 
 M'97574 
 
 3-643 
 
 3-68 
 
 11-9979 
 
 12-063 
 
 9-90 
 
 8-85 
 
 13-00 
 
 10-94 
 
 7 
 
 0-8 
 
 12-97574 
 
 4-643 
 
 4-68 
 
 12*9979 
 
 13-063 
 
 lO-gO 
 
 9-85 
 
 14-00 
 
 11-94 
 
 8 
 
 0-8 
 
 I3-97574 
 
 5-643 
 
 5-68 
 
 13-9979 
 
 14-063 
 
 I rgO 
 
 10-85 
 
 15-00 
 
 12-94 
 
 9 
 
 0-8 
 
 I4-97574 
 
 6-643 
 
 6-68 
 
 14-9979 
 
 I5-063 
 
 12-90 
 
 11-85 
 
 16-00 
 
 13-94 
 
 1O 
 
 0-8 
 
 IS-97574 
 
 7-643 
 
 7-68 
 
 15-9979 
 
 16-063 
 
 13-90 
 
 12-85 
 
 0-38 
 
 14-94 
 
 11 
 
 0-8 
 
 0-28672 
 
 0-298 
 
 '33 
 
 0-3103 
 
 0-379 
 
 14-90 
 
 '3-85 
 
 1-38 
 
 15-94 
 
 12 
 
 0-8 
 
 1-28672 
 
 1-298 
 
 i"33 
 
 1-3103 
 
 1-379 
 
 I5-90 
 
 14-85 
 
 2-38 
 
 0-19 
 
 13 
 
 0-8 
 
 2-28672 
 
 2-298 
 
 2-33 
 
 2-3103 
 
 2-379 
 
 0-08 
 
 To 5 
 
 3-38 
 
 1-19 
 
 14 
 
 0*8 
 
 3-28672 
 
 3-298 
 
 3-33 
 
 3-3103 
 
 3-379 
 
 I -08 
 
 16-85 
 
 4-38 
 
 2-19 
 
 15 
 
 0*8 
 
 4-28672 
 
 4-298 
 
 4'33 
 
 4-3103 
 
 4-379 
 
 2-08 
 
 0-97 
 
 5-38 
 
 3-19 
 
 16 
 
 0-8 
 
 5-28672 
 
 5-298 
 
 5'33 
 
 5-3103 
 
 S'379 
 
 3'08 
 
 1-97 
 
 6-38 
 
 4-19 
 
 17 
 
 0*8 
 
 6-28672 6-298 
 
 6-33 
 
 6-3103 
 
 6-379 
 
 4-08 
 
 2-97 
 
 7-38 
 
 5-19 
 
 18 
 
 0*8 
 
 7-28672 
 
 7-298 
 
 7-33 
 
 7-3103 
 
 7-379 
 
 5-08 
 
 3-97 
 
 8-38 
 
 19 
 
 19 
 
 0*8 
 
 8-28672 
 
 8-298 
 
 8-33 
 
 8-3103 
 
 8-379 
 
 6-08 
 
 4-97 
 
 9'3 8 
 
 7-19 
 
 20 
 
 0-8 
 
 9-28672 
 
 0-954 
 
 0*99 
 
 9-3103 
 
 9'379 
 
 7-08 
 
 5-97 
 
 10-38 
 
 Q 
 
 8-19 
 
 21 
 
 0-8 
 
 IO-28672 
 
 1-954 
 
 1-99 
 
 10-3103 
 
 10-379 
 
 8-08 
 
 6-97 
 
 II-38 
 
 o 
 
 9-19 
 
 22 
 
 0-8 
 
 II-28672 
 
 2-954 
 
 2-99 
 
 11-3103 
 
 n'379 
 
 9-08 
 
 7-97 
 
 12-38 
 
 . _ Q 
 
 10-19 
 
 23 
 
 0-8 
 
 I2-28672 3'954 
 
 3'99 
 
 12-3103 
 
 12-379 
 
 io - o8 
 
 8-97 
 
 13 38 
 
 o 
 
 11*19 
 
 24 
 
 0-8 
 
 13-28672 
 
 4'954 
 
 4-99 
 
 13-3103 
 
 13-379 
 
 11-08 
 
 9'97 
 
 14-38 
 
 12*19 
 
 25 
 26 
 27 
 28 
 29 
 
 0-8 
 0-8 
 0-8 
 0-8 
 0-8 
 
 14-28672 
 15-28672 
 I6-28672 
 0-5977I 
 I-5977I 
 
 5-954 
 6-954 
 
 7-954 
 0-610 
 r6io 
 
 5'99 
 6-99 
 
 7-99 
 0-65 
 
 1-65 
 
 14-3103 
 
 15-3103 
 16-3103 
 0-6227 
 1-6227 
 
 I4-379 
 I5-379 
 16-379 
 0-695 
 1-695 
 
 12-08 
 13-08 
 14-08 
 15-08 
 1 6-08 
 
 10-97 
 11-97 
 12-97 
 I3-97 
 H'97 
 
 15-38 
 16-38 
 075 
 
 175 
 
 275 
 
 13*19 
 14*19 
 15*19 
 16*19 
 0-44 
 
 30 
 31 
 Nov. 1 
 2 
 3 
 
 0-8 
 0-8 
 0-8 
 0-8 
 0-8 
 
 2-5977I 
 
 3-5977I 
 4-5977I 
 
 5-59771 
 6-59771 
 
 2-610 
 3-610 
 4-610 
 5-610 
 6-610 
 
 2-65 
 
 4-65 
 5*65 
 6*65 
 
 2-6227 
 3-6227 
 4-6227 
 5-6227 
 6-6227 
 
 2-695 
 3-695 
 4-695 
 
 6-695 
 
 0-27 
 1-27 
 
 2-27 
 
 3-27 
 4-27 
 
 15-97 
 0-09 
 1-09 
 2-09 
 3-09 
 
 375 
 4-75 
 575 
 675 
 775 
 
 1-44 
 2-44 
 3-44 
 4*44 
 5'44 
 
 4 
 
 6 
 
 0-8 
 0-8 
 o'8 
 
 7-5977I 
 8*59771 
 
 7-610 
 0-266 
 1-266 
 
 7-65 
 0-30 
 1-30 
 
 7-6227 
 8-6227 
 9-6227 
 
 7-695 
 8-695 
 9-695 
 
 5-27 
 6-27 
 
 7-27 
 
 4-09 
 5-09 
 6-09 
 
 8-75 
 975 
 
 10-75 
 
 6'44 
 
 7'44 
 8-44 
 
 7 
 8 
 
 0'9 
 0-9 
 
 10-5977I 
 II-5977I 
 
 2-266 
 3-266 
 
 2-30 
 3-30 
 
 10-6227 
 11-6227 
 
 10-695 
 11-695 
 
 8-27 
 9-27 
 
 7-09 
 8-09 
 
 11-75 
 1275 
 
 9'44 
 10-44 
 
 9 
 10 
 
 0-9 
 0-9 
 
 I2-5977I 
 I3-5977I 
 
 4-266 
 5-266 
 
 4-30 
 5'3 
 
 12-6227 
 13-6227 
 
 12-695 
 13-695 
 
 ,,- . .!.,.- oft.. i- Vph 
 
 10-27 
 11-27 
 
 A 
 
 9-09 
 10-09 
 
 1375 
 1475 
 
 11-44 
 12-44 
 
SATELLITE IV 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 X continued Motions of Mean Longitude and the Arguments for Days 
 
 I 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 1C 
 
 ii 
 
 Day 
 
 Mean Long. 
 
 A 
 
 B 
 
 c 
 
 D 
 
 E 
 
 F 
 
 G 
 
 H 
 
 a 
 
 Nov. 11 
 
 o 
 
 3H-89953 
 
 d 
 
 0-35 
 
 d 
 
 374 
 
 d 
 1-919 
 
 d 
 I4-50I 
 
 d 
 I4-57I78 
 
 d 
 14-052 
 
 d 
 5-06 
 
 d 
 I2-292 
 
 d 
 SIS' 
 
 12 
 
 336-47064 
 
 J'35 
 
 0-23 
 
 2-919 
 
 I5-50I 
 
 I5-57I78 
 
 15-052 
 
 6-06 
 
 13-292 
 
 3l6-O 
 
 13 
 
 358-04175 
 
 o-37 
 
 1-23 
 
 3-9*9 
 
 16-501 
 
 16-57178 
 
 16-052 
 
 7-06 
 
 14-292 
 
 317-0 
 
 14 
 
 19-61286 
 
 i-37 
 
 2-23 
 
 4-919 
 
 0-807 
 
 0-88I32 
 
 17-052 
 
 8-06 
 
 I5-292 
 
 318-0 
 
 15 
 
 41-18397 
 
 0-40 
 
 3' 2 3 
 
 5-919 
 
 I-807 
 
 I-88I32 
 
 18-052 
 
 0-68 
 
 16-292 
 
 3I9-0 
 
 16 
 
 6275508 
 
 1-40 
 
 4-23 
 
 6-919 
 
 2-807 
 
 2-88I32 
 
 19-052 
 
 1-68 
 
 OH75 
 
 32O-O 
 
 17 
 
 84-32619 
 
 0-42 
 
 071 
 
 7'9'9 
 
 3-807 
 
 3-88I32 
 
 20-052 
 
 2-68 
 
 1-475 
 
 32I-0 
 
 18 
 
 105-89730 
 
 1-42 
 
 171 
 
 8-919 
 
 4-807 
 
 4-88132 
 
 21-052 
 
 3-68 
 
 2-475 
 
 322-O 
 
 19 
 
 127-46841 
 
 0-44 
 
 2-71 
 
 9-919 
 
 5-807 
 
 5-88132 
 
 22-052 
 
 4-68 
 
 3-475 
 
 323-0 
 
 20 
 
 149-03952 
 
 1-44 
 
 371 
 
 10-919 
 
 6-807 
 
 6-88132 
 
 23-052 
 
 5-68 
 
 4-475 
 
 324-0 
 
 21 
 
 170-61063 
 
 0-46 
 
 O'2O 
 
 11-919 
 
 7-807 
 
 7-88132 
 
 24-052 
 
 6-68 
 
 5'475 
 
 325-0 
 
 22 
 
 192-18174 
 
 1-46 
 
 1-20 
 
 0-396 
 
 8-807 
 
 8-88132 
 
 25-052 
 
 7-68 
 
 6-475 
 
 326-0 
 
 23 
 
 21375285 
 
 0-48 
 
 2'2O 
 
 1-396 
 
 9-807 
 
 9-88132 
 
 26-052 
 
 0-31 
 
 7-475 
 
 327-0 
 
 24 
 
 235-32396 
 
 1-48 
 
 3'2O 
 
 2-396 
 
 10-807 
 
 IO-88I32 
 
 27-052 
 
 1-31 
 
 8475 
 
 328-0 
 
 25 
 
 256-89507 
 
 0-50 
 
 4-20 
 
 3'39 6 
 
 I 1-807 
 
 II-88I32 
 
 28-052 
 
 2-31 
 
 9'475 
 
 329-0 
 
 26 
 
 278-46618 
 
 1-50 
 
 0-69 
 
 4-396 
 
 I2-8O7 
 
 I2-88I32 
 
 29-052 
 
 3-3i 
 
 10-475 
 
 330-0 
 
 27 
 
 3oo - O3729 
 
 0-52 
 
 1-69 
 
 S-39 6 
 
 I3-807 
 
 I3-88I32 
 
 30-052 
 
 4-3I 
 
 "475 
 
 331-0 
 
 28 
 
 321-60840 
 
 1-52 
 
 2-69 
 
 6-396 
 
 14*807 
 
 14-88132 
 
 31-052 
 
 5-3i 
 
 12-475 
 
 332-0 
 
 29 
 
 343'i795i 
 
 0-54 
 
 3-69 
 
 7'39 6 
 
 15-807 
 
 I5-88I32 
 
 32-052 
 
 6-31 
 
 I3-475 
 
 333-0 
 
 3O 
 
 475062 
 
 '54 
 
 0-18 
 
 8-396 
 
 o-i 13 
 
 0-19087 
 
 33-05 2 
 
 7'3' 
 
 I4-475 
 
 334-o 
 
 Dec. 1 
 
 26-32173 
 
 0-56 
 
 1-18 
 
 9-396 
 
 1-113 
 
 1-19087 
 
 34-052 
 
 8-31 
 
 1 5'47 5 
 
 335-o 
 
 2 
 
 47-89284 
 
 1-56 
 
 2-18 
 
 10-396 
 
 2-113 
 
 2-19087 
 
 35 >0 52 
 
 0-93 
 
 16-475 
 
 336-0 
 
 3 
 
 69-46395 
 
 0-59 
 
 3'i8 
 
 1 1-396 
 
 3-ii3 
 
 3-I 9 087 
 
 36-052 
 
 1-93 
 
 0-657 
 
 337-0 
 
 4 
 
 91-03505 
 
 1-59 
 
 4-18 
 
 12-396 
 
 4"U3 
 
 4-19087 
 
 37-052 
 
 2-93 
 
 1-657 
 
 338-0 
 
 5 
 
 112-60616 
 
 o - 6i 
 
 0-67 
 
 0-872 
 
 5'ii3 
 
 5-19087 
 
 38-052 
 
 3-93 
 
 2-657 
 
 339-0 
 
 6 
 
 134-17727 
 
 1-61 
 
 1-67 
 
 1-872 
 
 6-113 
 
 6-19087 
 
 39-052 
 
 4-93 
 
 3-657 
 
 340-0 
 
 7 
 
 IS574838 
 
 0-63 
 
 2-67 
 
 2-872 
 
 7-113 
 
 7-I9087 
 
 40-052 
 
 5'93 
 
 4' 6 57 
 
 34 1 ' 
 
 8 
 
 177-31949 
 
 1-63 
 
 3-67 
 
 3-872 
 
 8-113 
 
 8-19087 
 
 41-052 
 
 6-93 
 
 5-657 
 
 342-0 
 
 9 
 
 198-89060 
 
 0-65 
 
 0-16 
 
 4-872 
 
 9-113 
 
 9-19087 
 
 42-052 
 
 7-93 
 
 6-657 
 
 343-o 
 
 1O 
 
 220-46171 
 
 1-65 
 
 1-16 
 
 5-872 
 
 10-113 
 
 10-19087 
 
 43-052 
 
 0-55 
 
 7-657 
 
 344-o 
 
 11 
 
 242-03282 
 
 0-67 
 
 2-16 
 
 6-872 
 
 11-113 
 
 II-I9087 
 
 44-052 
 
 i-55 
 
 8-657 
 
 345-o 
 
 12 
 
 263-60393 
 
 1-67 
 
 3-16 
 
 7-872 
 
 12-113 
 
 12-19087 
 
 45-052 
 
 2-55 
 
 9-657 
 
 346-0 
 
 13 
 
 285-17504 
 
 0-69 
 
 4-16 
 
 8-872 
 
 i3-"3 
 
 13-19087 
 
 46-052 
 
 3'55 
 
 10-657 
 
 347-Q 
 
 14 
 
 30674615 
 
 1-69 
 
 0-65 
 
 9-872 
 
 H-H3 
 
 14-19087 
 
 47-052 
 
 4'55 
 
 11-657 
 
 348-0 
 
 15 
 
 328-31726 
 
 071 
 
 1-65 
 
 10-872 
 
 I5-II3 
 
 15-19087 
 
 48-052 
 
 5'55 
 
 12-657 
 
 349' 
 
 16 
 
 349-88837 
 
 171 
 
 2-65 
 
 11-872 
 
 16-113 
 
 16-19087 
 
 49-052 
 
 6-55 
 
 13-657 
 
 350-0 
 
 17 
 
 11-45948 
 
 73 
 
 3-65 
 
 0-349 
 
 0-418 
 
 0-50041 
 
 50-052 
 
 7-55 
 
 14-657 
 
 351-0 
 
 18 
 
 33-03059 
 
 173 
 
 0-14 
 
 '"349 
 
 1-418 
 
 1-50041 
 
 0-894 
 
 0-18 
 
 15-657 
 
 352-0 
 
 19 
 
 54-60170 
 
 0-75 
 
 1-14 
 
 z'349 
 
 2-418 
 
 2-50041 
 
 1-894 
 
 1-18 
 
 16-657 
 
 353-o 
 
 2O 
 
 76-17281 
 
 175 
 
 2-14 
 
 3-349 
 
 3'4'8 
 
 3-5004I 
 
 2-894 
 
 2-18 
 
 0-840 
 
 354-o 
 
 21 
 
 977439 2 
 
 0-78 
 
 3'H 
 
 4-349 
 
 4-418 
 
 4-50041 
 
 3-894 
 
 3->8 
 
 1-840 
 
 355-o 
 
 22 
 
 119-31503 
 
 178 
 
 4-14 
 
 5'349 
 
 5-418 
 
 5-5004I 
 
 4-894 
 
 4-18 
 
 2-840 
 
 356-0 
 
 23 
 
 140-88614 
 
 0-80 
 
 0-63 
 
 6-349 
 
 6-418 
 
 6-5004! 
 
 5-894 
 
 5-18 
 
 3-840 
 
 357-o 
 
 24 
 
 162-45725 
 
 1-80 
 
 1-63 
 
 7-349 
 
 7-418 
 
 7-5004I 
 
 6-894 
 
 6-18 
 
 4-840 
 
 358-0 
 
 25 
 
 184-02836 
 
 0-82 
 
 2-63 
 
 8-349 
 
 8-418 
 
 8-50041 
 
 7-894 
 
 7-18 
 
 5-840 
 
 359' 
 
 26 
 
 205-59947 
 
 1-82 
 
 3-63 
 
 9'349 
 
 9-418 
 
 9'5OO4I 
 
 8-894 
 
 8-18 
 
 6-840 
 
 360-0 
 
 27 
 
 227-17058 
 
 0-84 
 
 o-ii 
 
 10-349 
 
 10-418 
 
 10-5004! 
 
 9-894 
 
 0-80 
 
 7-840 
 
 361-0 
 
 28 
 
 24874169 
 
 1-84 
 
 1*11 
 
 11-349 
 
 11-418 
 
 I 1-50041 
 
 10*894 
 
 1-80 
 
 8-840 
 
 362-0 
 
 29 
 
 270-31280 0-86 
 
 2'II 
 
 iz-349 
 
 12-418 
 
 I2-50O4I 
 
 I I '894 
 
 2-80 
 
 9-840 
 
 363-0 
 
 3O 
 
 291-88391 
 
 1-86 
 
 3-II 
 
 0-826 
 
 13-418 
 
 13-5004! 
 
 12-894 
 
 3-80 
 
 10-840 
 
 364-0 
 
 31 
 
 3'3'455' 
 
 0-88 
 
 4-11 
 
 1-826 
 
 14-418 
 
 14-5004! 
 
 I3-894 
 
 4-80 
 
 1 1-840 
 
 365-0 
 
 32 
 
 335-02612 
 
 1-88 
 
 o'6o 
 
 2-826 
 
 15-418 
 
 15-5004! 
 
 14-894 
 
 5-80 
 
 12-840 
 
 366-0 
 
 In Leap Year diminish the date in Columns i, 12, by i day after J'eb. 28. 
 242 
 
SATELLITE IV 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 X continued Motions of Mean Longitude and the Arguments for Days 
 
 12 
 
 13 
 
 '4 
 
 5 
 
 16 
 
 17 
 
 il 
 
 '9 
 
 20 
 
 21 
 
 22 
 
 Day 
 
 1 
 
 J 
 
 K 
 
 L 
 
 M 
 
 N 
 
 
 
 p 
 
 Q 
 
 R 
 
 Nov. 11 
 
 y 
 0-9 
 
 d 
 I4-5977I 
 
 d 
 6-266 
 
 d 
 
 d 
 14-6227 
 
 d 
 14-695 
 
 d 
 12-27 
 
 d 
 I 1-09 
 
 d 
 1575 
 
 d 
 I3-44 
 
 12 
 
 0-9 
 
 I5-5977I 
 
 7-266 
 
 7-30 
 
 15-6227 
 
 15-695 
 
 '3-27 
 
 12-09 
 
 0-13 
 
 14-44 
 
 13 
 
 0-9 
 
 16-59/71 
 
 8-266 
 
 8-30 
 
 16-6227 
 
 O'OI2 
 
 14-27 
 
 13-09 
 
 1-13 
 
 '5 '44 
 
 14 
 
 "9 
 
 0-90869 
 
 0-922 
 
 0-96 
 
 0-9350 
 
 1-012 
 
 I5-27 
 
 14-09 
 
 2-I 3 
 
 16-44 
 
 15 
 
 0-9 
 
 1-90869 
 
 1-922 
 
 1-96 
 
 I-9350 
 
 2-012 
 
 16-27 
 
 I5-09 
 
 3-I3 
 
 0-68 
 
 16 
 
 o"9 
 
 2-90869 
 
 2-922 
 
 2-96 
 
 2-9350 
 
 3-OI2 
 
 0-45 
 
 16-09 
 
 4"'3 
 
 1-68 
 
 17 
 
 0-9 
 
 3-90869 
 
 3-922 
 
 S-g 6 
 
 S-gSS 
 
 4-OI2 
 
 '"45 
 
 O-20 
 
 5-13 
 
 2-68 
 
 18 
 
 0-9 
 
 4-90869 
 
 4-922 
 
 4-96 
 
 4-9350 
 
 5-OI2 
 
 2-45 
 
 I -2O 
 
 6-13 
 
 3-68 
 
 19 
 
 0-9 
 
 5-90869 
 
 5-922 
 
 5-96 
 
 5-9350 
 
 6-012 
 
 3-45 
 
 2'2O 
 
 7-I3 
 
 4-68 
 
 20 
 
 0-9 
 
 6-90869 
 
 6-922 
 
 6-96 
 
 
 7-012 
 
 4-45 
 
 3-20 
 
 8-I 3 
 
 5-68 
 
 21 
 
 0-9 
 
 7-90869 
 
 7-922 
 
 7^6 
 
 7-9350 
 
 8-012 
 
 5-45 
 
 4-20 
 
 9-13 
 
 6-68 
 
 22 
 
 0-9 
 
 8-90869 
 
 0-578 
 
 0-62 
 
 8-9350 
 
 9-012 
 
 6-45 
 
 5-20 
 
 IO-I3 
 
 7-68 
 
 23 
 
 0-9 
 
 9-90869 
 
 1-578 
 
 1-62 
 
 9-935 
 
 IO-OI2 
 
 7'45 
 
 6'20 
 
 11-13 
 
 8-68 
 
 24 
 
 0-9 
 
 10-90869 
 
 2-578 
 
 2'62 
 
 10-9350 
 
 I t'012 
 
 8-45 
 
 7-20 
 
 12-13 
 
 9-68 
 
 25 
 
 0-9 
 
 I 1-90869 
 
 3-578 
 
 3-62 
 
 II-9350 
 
 I2'OI2 
 
 9H5 
 
 8-20 
 
 I3-I3 
 
 10-68 
 
 26 
 
 0-9 
 
 12-90869 
 
 4]578 
 
 4'62 
 
 12-9350 
 
 I3-OI2 
 
 10-45 
 
 9-20 
 
 H''3 
 
 11-68 
 
 27 
 
 0-9 
 
 13-90869 
 
 
 5'62 
 
 13-935 
 
 I4-OI2 
 
 11-45 
 
 IO-2O 
 
 15-13 
 
 12-68 
 
 28 
 
 0-9 
 
 14-90869 
 
 6-578 
 
 6'62 
 
 H-9350 
 
 I5-OI2 
 
 12-45 
 
 11 -2O 
 
 16-13 
 
 13-68 
 
 29 
 
 0-9 
 
 15-90869 
 
 7-578 
 
 7-62 
 
 15-9350 
 
 16-012 
 
 I3-45 
 
 I2-2O 
 
 0-50 
 
 14-68 
 
 30 
 
 0-9 
 
 0-21968 
 
 0-234 
 
 0-27 
 
 0-2474 
 
 0-328 
 
 H'45 
 
 13-20 
 
 1-50 
 
 15-68 
 
 Dec. 1 
 
 0-9 
 
 1-21968 
 
 1-234 
 
 1-27 
 
 1-2474 
 
 1-328 
 
 I5-45 
 
 I4-2O 
 
 2-50 
 
 1 6-68 
 
 2 
 
 0-9 
 
 2-21968 
 
 2-234 
 
 2'27 
 
 2-2474 
 
 2-328 
 
 16-45 
 
 I5-20 
 
 3-5 
 
 0-93 
 
 3 
 
 0-9 
 
 3-21968 
 
 3-234 
 
 3-27 
 
 3'*474 
 
 3-328 
 
 0-63 
 
 l6-2O 
 
 4-* ?O 
 
 1-93 
 
 4 
 
 0-9 
 
 4-21968 
 
 
 4-27 
 
 4-2474 
 
 4-328 
 
 1-63 
 
 0-32 
 
 (J * CO 
 
 2-93 
 
 5 
 
 0-9 
 
 5-21968 
 
 5-234 
 
 5-27 
 
 
 5-328 
 
 2-63 
 
 1-3* 
 
 6-50 
 
 3'93 
 
 6 
 
 0-9 
 
 6-21968 
 
 6-234 
 
 6-27 
 
 6-2474 
 
 6-328 
 
 3-63 
 
 2'3* 
 
 7-50 
 
 4-93 
 
 7 
 
 0-9 
 
 7-21968 
 
 
 7-27 
 
 7-2474 
 
 7-328 
 
 4-63 
 
 3-32 
 
 8-50 
 
 5-93 
 
 8 
 
 0-9 
 
 8-21968 
 
 8-234 
 
 8-27 
 
 8-2474 
 
 8-328 
 
 5-63 
 
 4-32 
 
 9-50 
 
 6-93 
 
 9 
 
 
 9-21968 
 
 0-889 
 
 o-93 
 
 9-2474 
 
 9-328 
 
 6-63 
 
 5-32 
 
 10-50 
 
 7-93 
 
 1O 
 
 0-9 
 
 IO'2I968 
 
 1-889 
 
 1-93 
 
 10-2474 
 
 10-328 
 
 7-63 
 
 6-32 
 
 11-50 
 
 8'93 
 
 11 
 
 0-9 
 
 ir2I968 
 
 2-889 
 
 *'93 
 
 11-2474 
 
 11-328 
 
 8-63 
 
 7-32 
 
 12-50 
 
 9"93 
 
 12 
 13 
 14 
 15 
 
 0-9 
 ro 
 ro 
 ro 
 
 I2'2i968 
 13-21968 
 14-21968 
 15-21968 
 
 3-889 
 4-889 
 
 5-889 
 6-889 
 
 3'93 
 4-93 
 5-93 
 6-93 
 
 12-2474 
 
 I3-2474 
 14-2474 
 
 I5-2474 
 
 12-328 
 
 13-328 
 14-328 
 15-328 
 
 9-63 
 10-63 
 11-63 
 12-63 
 
 8-32 
 
 10-32 
 11-32 
 
 13-50 
 14-50 
 15-50 
 16-50 
 
 10-93 
 11-93 
 12-93 
 '3'93 
 
 16 
 17 
 18 
 19 
 20 
 
 ro 
 ro 
 ro 
 ro 
 ro 
 
 16-21968 
 0-53066 
 1-53066 
 2-53066 
 3-53066 
 
 7-889 
 o-545 
 J-545 
 2-545 
 
 7-93 
 0-59 
 1-59 
 2-59 
 
 16-2474 
 0-5598 
 1-5598 
 2-5598 
 3-5598 
 
 16-328 
 
 0-645 
 1-645 
 2-645 
 3-645 
 
 13-63 
 14-63 
 15-63 
 16-63 
 0-81 
 
 12-32 
 
 13-32 
 14-32 
 15-32 
 16-32 
 
 0-88 
 r88 
 2-88 
 3-88 
 4-88 
 
 14-93 
 
 I5-93 
 0-18 
 1-18 
 2-18 
 
 21 
 22 
 23 
 24 
 25 
 
 I'O 
 
 ro 
 
 I'O 
 
 ro 
 ro 
 
 4-53066 
 5-53066 
 6-53066 
 7-53066 
 8-53066 
 
 4-545 
 S'545 
 6-545 
 7-545 
 
 O-20I 
 
 5'59 
 6-59 
 
 7-59 
 0-24 
 
 4-5598 
 6-5598 
 8-5598 
 
 4-645 
 
 5-645 
 6-645 
 
 7-645 
 8-645 
 
 1-81 
 2-81 
 
 4-81 
 5-81 
 
 o'43 
 '43 
 2-43 
 
 4'43 
 
 5-88 
 6-88 
 7-88 
 8-88 
 9-88 
 
 3-18 
 4-18 
 5-18 
 6-18 
 7-18 
 
 26 
 27 
 28 
 29 
 30 
 
 ro 
 ro 
 ro 
 ro 
 ro 
 
 9-53066 
 10-53066 
 11-53066 
 12-53066 
 13-53066 
 
 I-20I 
 2'20I 
 3'20I 
 4'20I 
 5-20I 
 
 1-24 
 2-24 
 
 3-24 
 4-24 
 
 10-5598 
 11-5598 
 12-5598 
 I3-5598 
 
 9-645 
 
 10-645 
 
 11-645 
 12-645 
 13-645 
 
 6-8 1 
 7-81 
 8-81 
 9-81 
 10-81 
 
 5-43 
 6-43 
 
 8-43 
 9-43 
 
 10-88 
 11-88 
 12-88 
 13-88 
 14-88 
 
 8-18 
 9-18 
 10-18 
 Il-iS 
 
 12-18 
 
 31 
 32 
 
 ro 
 ro 
 
 14-53066 
 15-53066 
 
 6-201 
 
 7-20I 
 
 6-24 
 7-24 
 
 14-5598 
 I5-5598 
 
 14-645 
 15-645 
 
 11-81 
 
 12-81 
 
 10-43 
 n'43 
 
 15-88 
 
 0-25 
 
 13-18 
 14-18 
 
 ^"~""~^~~ In Leap Year diminish the date in Columns i, 12, by i day after leb. 28. 
 
XI 
 
 SATELLITE IV 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 Motion of Mean Longitude for Fractions of a Day 
 
 I 
 
 2 
 
 i 
 
 2 
 
 Day 
 
 Mean Long. 
 
 Day 
 
 Mean Long. 
 
 d 
 001 
 
 
 
 0-21571 
 
 d 
 51 
 
 o 
 
 11-00127 
 
 02 
 
 0-43142 
 
 52 
 
 11-21698 
 
 03 
 
 0-64713 
 
 53 
 
 1 1-43269 
 
 04 
 
 0-86284 
 
 54 
 
 11-64840 
 
 05 
 
 1-07856 
 
 55 
 
 11-86411 
 
 06 
 
 1-29427 
 
 056 
 
 12-07982 
 
 O7 
 
 1-50998 
 
 57 
 
 12-29553 
 
 08 
 
 1-72569 
 
 58 
 
 12-51144 
 
 O9 
 
 1-94140 
 
 59 
 
 12-72695 
 
 1O 
 
 2-15711 
 
 60 
 
 12-94267 
 
 Oil 
 
 2-37282 
 
 61 
 
 13-15838 
 
 12 
 
 2-58853 
 
 62 
 
 13-37409 
 
 13 
 
 2-80424 
 
 63 
 
 13-58980 
 
 14 
 
 3-01996 
 
 64 
 
 13-80551 
 
 15 
 
 3'*35 6 7 
 
 65 
 
 14-02122 
 
 0-16 
 
 3'45!3 8 
 
 66 
 
 14-23693 
 
 17 
 
 3-66709 
 
 67 
 
 14-45264 
 
 18 
 
 3-88280 
 
 68 
 
 14-66835 
 
 19 
 
 4-09851 
 
 69 
 
 14-88407 
 
 2O 
 
 4-31422 
 
 7O 
 
 15-09978 
 
 021 
 
 4'5*993 
 
 O-71 
 
 '5-31549 
 
 22 
 
 474564 
 
 72 
 
 15-53120 
 
 23 
 
 4-96136 
 
 73 
 
 15-74691 
 
 24 
 
 5-17707 
 
 74 
 
 15-96262 
 
 25 
 
 5-39278 
 
 75 
 
 16-17833 
 
 026 
 
 5-60849 
 
 076 
 
 16-39404 
 
 27 
 
 5-82420 
 
 77 
 
 16-60975 
 
 28 
 
 6-03991 
 
 78 
 
 16-82547 
 
 29 
 
 6-25562 
 
 79 
 
 17-04118 
 
 30 
 
 6'4733 
 
 80 
 
 17-25689 
 
 O31 
 
 6-68704 
 
 081 
 
 17-47260 
 
 32 
 
 6-90276 
 
 82 
 
 17-68831 
 
 33 
 
 7-11847 
 
 83 
 
 17-90402 
 
 34 
 
 7-33418 
 
 84 
 
 18-11973 
 
 35 
 
 7-54989 
 
 85 
 
 18-33544 
 
 036 
 
 776560 
 
 O86 
 
 18-55115 
 
 37 
 
 7'9 8l 3' 
 
 87 
 
 18-76687 
 
 38 
 
 8-19702 
 
 88 
 
 18-98258 
 
 39 
 
 8-41273 
 
 89 
 
 19-19829 
 
 4O 
 
 8-62844 
 
 90 
 
 19-41400 
 
 041 
 
 8-84415 
 
 O 91 
 
 19-62971 
 
 42 
 
 9-05987 
 
 92 
 
 19-84542 
 
 43 
 
 9-27558 
 
 93 
 
 20-061 13 
 
 44 
 
 9-49129 
 
 94 
 
 20-27684 
 
 45 
 
 9-70700 
 
 95 
 
 20-49255 
 
 046 
 
 9-92271 
 
 096 
 
 20-70827 
 
 47 
 
 10-13842 
 
 97 
 
 20-92398 
 
 48 
 49 
 
 10-35413 
 10-56984 
 
 98 
 
 99 
 
 21-13969 
 21-35540 
 
 050 
 
 10-78555 
 
 1 00 
 
 21-57111 
 
 I 
 
 2 
 
 i 
 
 2 
 
 Day 
 
 Mean Long. 
 
 Day 
 
 Mean Long. 
 
 d 
 00001 
 
 o 
 
 0-00216 
 
 d 
 
 0-0051 
 
 o 
 O'l IOOI 
 
 2 
 
 431 
 
 52 
 
 I 1217 
 
 3 
 
 647 
 
 53 
 
 11433 
 
 4 
 
 863 
 
 54 
 
 11648 
 
 5 
 
 1079 
 
 55 
 
 11864 
 
 OOOO6 
 
 0-01294 
 
 0-0056 
 
 0-12080 
 
 7 
 
 1510 
 
 57 
 
 12296 
 
 8 
 
 1726 
 
 58 
 
 12511 
 
 9 
 
 1941 
 
 59 
 
 12727 
 
 1O 
 
 2157 
 
 6O 
 
 12943 
 
 001 1 
 
 0-02373 
 
 00061 
 
 O'i3i58 
 
 12 
 
 2589 
 
 62 
 
 '3374 
 
 13 
 
 2804 
 
 63 
 
 13590 
 
 14 
 
 3020 
 
 64 
 
 13806 
 
 15 
 
 3236 
 
 65 
 
 14021 
 
 00016 
 
 0-03451 
 
 00066 
 
 0-14237 
 
 17 
 
 3667 
 
 67 
 
 H453 
 
 18 
 
 3883 
 
 68 
 
 14668 
 
 19 
 
 4099 
 
 69 
 
 14884 
 
 20 
 
 4314 
 
 7O 
 
 15100 
 
 00021 
 
 0-04530 
 
 00071 
 
 0-15315 
 
 22 
 
 4746 
 
 72 
 
 >553i 
 
 23 
 
 4961 
 
 73 
 
 '5747 
 
 24 
 
 5'77 
 
 74 
 
 15963 
 
 25 
 
 5393 
 
 75 
 
 16178 
 
 00026 
 
 0-05608 
 
 00076 
 
 0-16394 
 
 27 
 
 5824 
 
 77 
 
 16610 
 
 28 
 
 6040 
 
 78 
 
 16825 
 
 29 
 
 6256 
 
 79 
 
 17041 
 
 3O 
 
 6471 
 
 SO 
 
 17257 
 
 00031 
 
 0-06687 
 
 00081 
 
 0-17473 
 
 32 
 
 6903 
 
 82 
 
 17688 
 
 33 
 
 7118 
 
 83 
 
 17904 
 
 34 
 
 7334 
 
 84 
 
 18120 
 
 35 
 
 755 
 
 85 
 
 18336 
 
 00036 
 
 0-07766 
 
 O 0086 
 
 0-18551 
 
 37 
 
 7981 
 
 87 
 
 18767 
 
 38 
 
 8197 
 
 88 
 
 18983 
 
 39 
 
 8413 
 
 89 
 
 19198 
 
 40 
 
 8628 
 
 90 
 
 19414 
 
 00041 
 
 0-08844 
 
 00091 
 
 0-19630 
 
 42 
 
 9060 
 
 92 
 
 19845 
 
 43 
 
 9276 
 
 93 
 
 20061 
 
 44 
 
 9491 
 
 94 
 
 20277 
 
 45 
 
 9707 
 
 95 
 
 20493 
 
 00046 
 
 0-09923 
 
 00096 
 
 0^20708 
 
 47 
 
 10138 
 
 97 
 
 20924 
 
 48 
 
 J354 
 
 98 
 
 21 140 
 
 49 
 
 10570 
 
 99 
 
 21355 
 
 00050 
 
 0-10786 
 
 00100 
 
 0-2157I 
 
 For Arguments A E, the fraction of a day must be added as a correction to the entries of columns 3-22 of Table X. 
 
 244 
 
SATELLITE IV 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 Equations of Longitude 
 
 XII 
 
 XIII 
 
 XIV 
 
 I 
 
 2 
 
 3 
 
 A 
 
 Equation 
 
 A 
 
 o<i-oi 
 
 d 
 000 
 
 
 
 o-ooioo 
 
 + 2,0 
 
 04 
 
 107 
 
 2,0 
 
 08 
 
 >5 
 
 ,9 
 
 12 
 
 122 
 
 ,6 
 
 16 
 
 128 
 
 ,5 
 
 20 
 
 134 
 
 ,5 
 
 24 
 
 o '00140 
 
 + ,4 
 
 28 
 
 '45 
 
 ,i 
 
 32 
 
 149 
 
 .0 
 
 36 
 
 '53 
 
 0,8 
 
 40 
 
 "55 
 
 ,5 
 
 044 
 
 0-00157 
 
 + 0,4 
 
 48 
 
 158 
 
 + 0,1 
 
 52 
 
 158 
 
 -0,1 
 
 56 
 
 "57 
 
 o.4 
 
 60 
 
 155 
 
 0,6 
 
 064 
 
 0-00152 
 
 -0,9 
 
 68 
 
 148 
 
 , 
 
 72 
 
 144 
 
 ,1 
 
 76 
 
 139 
 
 ,4 
 
 80 
 
 133 
 
 ,5 
 
 Q'84 
 
 0-00127 
 
 - ,6 
 
 88 
 
 I2O 
 
 ,8 
 
 92 
 
 H3 
 
 ,9 
 
 96 
 
 105 
 
 .9 
 
 1 OO 
 
 98 
 
 ,8 
 
 1-04 
 
 0-00091 
 
 - ,8 
 
 08 
 
 84 
 
 ,8 
 
 12 
 
 77 
 
 ,8 
 
 16 
 
 70 
 
 ,6 
 
 20 
 
 64 
 
 ,4 
 
 1-24 
 
 0-00059 
 
 - ,3 
 
 28 
 
 54 
 
 ,i 
 
 32 
 
 5 
 
 ,9 
 
 36 
 
 47 
 
 0,8 
 
 4O 
 
 44 
 
 o,5 
 
 1'44 
 
 0-00043 
 
 -0,3 
 
 48 
 
 42 
 
 -0,1 
 
 52 
 
 42 
 
 + 0,3 
 
 56 
 
 44 
 
 ,5 
 
 60 
 
 46 
 
 0,6 
 
 1 64 
 
 0-00049 
 
 + 0,9 
 
 68 
 
 53 
 
 ,i 
 
 72 
 
 58 
 
 ,3 
 
 76 
 
 63 
 
 ,4 
 
 80 
 
 69 
 
 ,5 
 
 1-84 
 
 0-00075 
 
 + ,6 
 
 88 
 
 82 
 
 ,8 
 
 92 
 
 89 
 
 ,9 
 
 96 
 
 97 
 
 ,9 
 
 2 00 
 
 0-00104 
 
 + ,9 
 
 i 
 
 2 
 
 3 
 
 B 
 
 Equation 
 
 A 
 
 d 
 00 
 
 o 
 
 o-ooioo 
 
 + 7 
 
 1 
 
 107 
 
 7 
 
 2 
 
 114 
 
 7 
 
 3 
 
 121 
 
 7 
 
 4 
 
 I2 7 
 
 6 
 
 5 
 
 133 
 
 6 
 
 06 
 
 O-OOI38 
 
 + 5 
 
 7 
 
 142 
 
 4 
 
 8 
 
 146 
 
 3 
 
 9 
 
 148 
 
 2 
 
 10 
 
 150 
 
 2 
 
 1-1 
 
 O-OOI5I 
 
 + 1 
 
 2 
 
 IS' 
 
 - I 
 
 3 
 
 150 
 
 2 
 
 4 
 
 '47 
 
 3 
 
 5 
 
 144 
 
 4 
 
 1-6 
 
 0*00140 
 
 - 5 
 
 7 
 
 '35 
 
 5 
 
 8 
 
 130 
 
 6 
 
 9 
 
 *4 
 
 6 
 
 20 
 
 118 
 
 7 
 
 2-1 
 
 O'OOIII 
 
 - 7 
 
 2 
 
 104 
 
 7 
 
 3 
 
 97 
 
 7 
 
 4 
 
 90 
 
 7 
 
 5 
 
 83 
 
 7 
 
 26 
 
 0-00076 
 
 - 7 
 
 7 
 
 70 
 
 6 
 
 8 
 
 65 
 
 S 
 
 9 
 
 60 
 
 5 
 
 30 
 
 56 
 
 4 
 
 3'1 
 
 0-00053 
 
 - 3 
 
 2 
 
 50 
 
 2 
 
 3 
 
 49 
 
 - I 
 
 4 
 
 49 
 
 + I 
 
 5 
 
 5 
 
 I 
 
 36 
 
 0-00051 
 
 + 2 
 
 7 
 
 54 
 
 3 
 
 8 
 
 57 
 
 4 
 
 9 
 
 62 
 
 5 
 
 40 
 
 67 
 
 5 
 
 4-1 
 
 0-00072 
 
 + 6 
 
 2 
 
 78 
 
 7 
 
 3 
 
 85 
 
 7 
 
 4 
 
 92 
 
 7 
 
 5 
 
 99 
 
 7 
 
 4'6 
 
 O'ooio6 
 
 + 7 
 
 7 
 
 i'3 
 
 7 
 
 8 
 
 120 
 
 7 
 
 9 
 
 126 
 
 6 
 
 5'O 
 
 0-00132 I + 6 
 
 i 
 
 2 
 
 3 
 
 I 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 C 
 
 Equation 
 
 A 
 
 C 
 
 Equation 
 
 A 
 
 C 
 
 Equation 
 
 A 
 
 d 
 
 00 
 
 o 
 
 0-00300 
 
 -28 
 
 d 
 
 50 
 
 o 
 
 0-00255 
 
 + 6 
 
 d 
 
 10-0 
 
 
 
 0-00563 
 
 + 9 
 
 1 
 
 272 
 
 28 
 
 1 
 
 260 
 
 5 
 
 1 
 
 571 
 
 8 
 
 2 
 
 244 
 
 28 
 
 2 
 
 265 
 
 5 
 
 2 
 
 578 
 
 7 
 
 3 
 
 217 
 
 27 
 
 3 
 
 270 
 
 5 
 
 3 
 
 585 
 
 6 
 
 4 
 
 190 
 
 26 
 
 4 
 
 274 
 
 4 
 
 4 
 
 59 
 
 i 
 
 5 
 
 165 
 
 25 
 
 5 
 
 278 
 
 4 
 
 5 
 
 594 
 
 4 
 
 0-6 
 
 0-00141 
 
 -H 
 
 56 
 
 0-00282 
 
 + 4 
 
 106 
 
 0-00597 
 
 + 3 
 
 7 
 
 118 
 
 22 
 
 7 
 
 285 
 
 
 7 
 
 599 
 
 + i 
 
 8 
 
 97 
 
 2O 
 
 8 
 
 288 
 
 3 
 
 8 
 
 599 
 
 - i 
 
 9 
 
 79 
 
 18 
 
 9 
 
 291 
 
 3 
 
 9 
 
 597 
 
 1 
 
 10 
 
 62 
 
 16 
 
 60 
 
 294 
 
 3 
 
 110 
 
 593 
 
 ( 
 
 1-1 
 
 0-00047 
 
 -'4 
 
 61 
 
 0-00296 
 
 + 2 
 
 11-1 
 
 0-00587 
 
 -~ 7 
 
 2 
 
 34 
 
 12 
 
 2 
 
 298 
 
 3 
 
 2 
 
 579 
 
 9 
 
 3 
 
 23 
 
 IO 
 
 3 
 
 301 
 
 3 
 
 3 
 
 569 
 
 12 
 
 4 
 
 15 
 
 7 
 
 4 
 
 303 
 
 3 
 
 4 
 
 556 
 
 '4 
 
 5 
 
 9 
 
 6 
 
 5 
 
 306 
 
 3 
 
 5 
 
 542 
 
 15 
 
 16 
 
 0-00004 
 
 ~ 4 
 
 66 
 
 0-00308 
 
 + 3 
 
 11-6 
 
 0-00526 
 
 -18 
 
 7 
 
 2 
 
 2 
 
 7 
 
 3" 
 
 3 
 
 7 
 
 507 
 
 20 
 
 8 
 
 I 
 
 O 
 
 8 
 
 3'4 
 
 3 
 
 8 
 
 487 
 
 21 
 
 9 
 
 2 
 
 + 2 
 
 9 
 
 317 
 
 4 
 
 9 
 
 465 
 
 23 
 
 20 
 
 5 
 
 4 
 
 7'O 
 
 321 
 
 4 
 
 120 
 
 441 
 
 *s 
 
 2-1 
 
 0-00009 
 
 + 5 
 
 7-1 
 
 0-00325 
 
 + 4 
 
 121 
 
 0-00416 
 
 -26 
 
 2 
 
 14 
 
 6 
 
 2 
 
 329 
 
 5 
 
 2 
 
 39 
 
 27 
 
 3 
 
 20 
 
 7 
 
 3 
 
 334 
 
 5 
 
 3 
 
 363 
 
 28 
 
 4 
 
 28 
 
 8 
 
 4 
 
 339 
 
 5 
 
 4 
 
 335 
 
 28 
 
 5 
 
 36 
 
 8 
 
 5 
 
 344 
 
 6 
 
 5 
 
 307 
 
 29 
 
 26 
 
 0-00044 
 
 + 9 
 
 76 
 
 0-00350 
 
 + 6 
 
 126 
 
 0-00278 
 
 -29 
 
 7 
 
 53 
 
 IO 
 
 7 
 
 35 6 
 
 7 
 
 7 
 
 250 
 
 28 
 
 8 
 
 63 
 
 10 
 
 8 
 
 363 
 
 7 
 
 8 
 
 223 
 
 27 
 
 9 
 
 73 
 
 10 
 
 9 
 
 37 
 
 7 
 
 9 
 
 196 
 
 26 
 
 30 
 
 83 
 
 10 
 
 80 
 
 377 
 
 8 
 
 130 
 
 '7' 
 
 25 
 
 3-1 
 
 0-00093 
 
 + 10 
 
 81 
 
 0-00385 
 
 + 8 
 
 131 
 
 0*00146 
 
 -24 
 
 2 
 
 103 
 
 10 
 
 2 
 
 393 8 
 
 2 
 
 123 
 
 22 
 
 3 
 
 "3 
 
 IO 
 
 3 
 
 401 8 
 
 3 
 
 IO2 
 
 20 
 
 4 
 
 123 
 
 IO 
 
 4 
 
 409 
 
 9 
 
 4 
 
 83 
 
 '9 
 
 5 
 
 133 
 
 IO 
 
 5 
 
 418 
 
 9 
 
 5 
 
 65 
 
 17 
 
 36 
 
 0-00143 
 
 + 10 
 
 86 
 
 0-00427 
 
 + 9 
 
 136 
 
 O-OOO5O 
 
 -14 
 
 7 
 
 '53 
 
 10 
 
 7 
 
 436 
 
 9 
 
 7 
 
 37 
 
 12 
 
 8 
 
 162 
 
 9 
 
 8 
 
 445 
 
 10 
 
 8 
 
 26 
 
 10 
 
 9 
 
 171 
 
 9 
 
 9 
 
 455 
 
 IO 
 
 9 
 
 '7 
 
 8 
 
 4-O 
 
 1 80 
 
 9 
 
 90 
 
 464 
 
 10 
 
 140 
 
 10 
 
 6 
 
 41 
 
 0-00189 
 
 + 9 
 
 91 
 
 0-00474 
 
 + 10 
 
 14-1 
 
 0-00005 
 
 - 4 
 
 2 
 
 197 
 
 8 
 
 2 
 
 484 
 
 II 
 
 2 
 
 2 
 
 2 
 
 3 
 
 205 
 
 8 
 
 3 
 
 495 
 
 II 
 
 3 
 
 I 
 
 - I 
 
 4 
 
 213 
 
 8 
 
 4 
 
 55 
 
 IO 
 
 4 
 
 I 
 
 + 2 
 
 5 
 
 221 
 
 8 
 
 5 
 
 5'5 
 
 10 
 
 5 
 
 4 
 
 4 
 
 4'6 
 
 O - OO228 
 
 + 7 
 
 9-6 
 
 0-00525 
 
 + 10 
 
 14-6 
 
 0-00008 
 
 + 5 
 
 7 
 
 235 
 
 7 
 
 7 
 
 535 
 
 10 
 
 7 
 
 13 
 
 6 
 
 8 
 
 242 
 
 7 
 
 8 
 
 545 
 
 10 
 
 8 
 
 II 
 
 7 
 
 9 
 
 249 
 
 7 
 
 9 
 
 554 
 
 9 
 
 9 
 
 26 
 
 7 
 
 50 
 
 O-OO255 
 
 + 6 
 
 100 
 
 0-00563 
 
 + 9 
 
 150 
 
 0-00033 + 7 
 
 Constant : -f o e 'ooioo. 
 
 Constant : +o*'ooioo 
 
 Applied Constant : +o*'oosoo. 
 
XV 
 
 SATELLITE IV 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 Equation of Longitude Argument D 
 
 I 
 
 z 
 
 3 
 
 I 
 
 2 
 
 3 
 
 i 
 
 z 
 
 3 
 
 I 2 
 
 3 
 
 D 
 
 Equation 
 
 A 
 
 D 
 
 Equation 
 
 A 
 
 D 
 
 Equation 
 
 A 
 
 D 
 
 Equation 
 
 A 
 
 d 
 
 00 
 
 
 
 O-O22OO 
 
 - 78 
 
 d 
 
 50 
 
 
 
 O'OO22I 
 
 + 24 
 
 d 
 
 100 
 
 o 
 
 0-03411 
 
 + 64 
 
 d 
 
 15 O 
 
 
 
 0-03438 
 
 - 63 
 
 1 
 
 2122 
 
 78 
 
 1 
 
 246 
 
 27 
 
 1 
 
 3474 
 
 62 
 
 1 
 
 3374 
 
 65 
 
 2 
 
 2044 
 
 78 
 
 2 
 
 274 
 
 30 
 
 2 
 
 3535 
 
 60 
 
 2 
 
 339 
 
 66 
 
 3 
 
 1966 
 
 78 
 
 3 
 
 305 
 
 33 
 
 3 
 
 3594 
 
 58 
 
 3 
 
 3242 
 
 68 
 
 4 
 
 1888 
 
 77 
 
 4 
 
 339 
 
 35 
 
 4 
 
 3651 
 
 56 
 
 4 
 
 3173 
 
 70 
 
 5 
 
 1811 
 
 76 
 
 5 
 
 375 
 
 37 
 
 5 
 
 3706 
 
 54 
 
 5 
 
 3103 
 
 7i 
 
 06 
 
 0-01735 
 
 - 76 
 
 56 
 
 0-00413 
 
 + 40 
 
 106 
 
 0-03759 
 
 + S* 
 
 156 
 
 0-03032 
 
 - 72 
 
 7 
 
 1659 
 
 76 
 
 7 
 
 455 
 
 43 
 
 7 
 
 3810 
 
 5 
 
 7 
 
 2960 
 
 73 
 
 8 
 
 1584 
 
 75 
 
 8 
 
 498 
 
 45 
 
 8 
 
 3858 
 
 47 
 
 8 
 
 2887 
 
 74 
 
 9 
 
 1509 
 
 74 
 
 9 
 
 545 
 
 48 
 
 9 
 
 3904 
 
 45 
 
 9 
 
 2812 
 
 75 
 
 1O 
 
 1436 
 
 73 
 
 60 
 
 593 
 
 5 
 
 11*O 
 
 394 s 
 
 43 
 
 160 
 
 2737 
 
 76 
 
 1-1 
 
 0-01364 
 
 - 7* 
 
 6-1 
 
 0-00644 
 
 + 52 
 
 111 
 
 0-03989 
 
 + 4 
 
 161 
 
 0-02661 
 
 - 76 
 
 2 
 
 1293 
 
 7i 
 
 2 
 
 697 
 
 54 
 
 2 
 
 4027 
 
 37 
 
 2 
 
 2585 
 
 77 
 
 3 
 
 1223 
 
 69 
 
 3 
 
 752 
 
 56 
 
 3 
 
 4063 
 
 35 
 
 3 
 
 2507 
 
 78 
 
 4 
 
 "55 
 
 68 
 
 4 
 
 809 
 
 58 
 
 4 
 
 4097 
 
 33 
 
 4 
 
 2430 
 
 77 
 
 5 
 
 1088 
 
 67 
 
 5 
 
 868 
 
 60 
 
 5 
 
 4128 
 
 30 
 
 5 
 
 2352 
 
 78 
 
 1-6 
 
 O-OIO22 
 
 - 65 
 
 66 
 
 0-00929 
 
 + 62 
 
 11-6 
 
 0-04156 
 
 + 27 
 
 166 
 
 0-02274 
 
 - 78 
 
 7 
 
 959 
 
 63 
 
 7 
 
 992 
 
 64 
 
 7 
 
 4181 
 
 24 
 
 7 
 
 2196 
 
 79 
 
 8 
 
 897 
 
 61 
 
 8 
 
 1057 
 
 66 
 
 8 
 
 4203 
 
 21 
 
 8 
 
 2117 
 
 78 
 
 9 
 
 837 
 
 59 
 
 9 
 
 1123 
 
 67 
 
 9 
 
 4223 
 
 18 
 
 9 
 
 2039 
 
 78 
 
 20 
 
 779 
 
 57 
 
 7-0 
 
 1191 
 
 69 
 
 12 O 
 
 4*39 
 
 15 
 
 170 
 
 1962 
 
 77 
 
 21 
 
 0-00723 
 
 55 
 
 7-1 
 
 0-01260 
 
 + 70 
 
 121 
 
 0-04253 
 
 + 13 
 
 171 
 
 0-01884 
 
 - 78 
 
 2 
 
 669 
 
 53 
 
 *2 
 
 '33 
 
 7> 
 
 2 
 
 4264 
 
 10 
 
 2 
 
 1807 
 
 77 
 
 3 
 
 617 
 
 51 
 
 3 
 
 1402 
 
 72 
 
 3 
 
 4272 
 
 7 
 
 3 
 
 1730 
 
 77 
 
 4 
 
 567 
 
 49 
 
 4 
 
 H75 
 
 73 
 
 4 
 
 4277 
 
 4 
 
 4 
 
 1654 
 
 76 
 
 5 
 
 520 
 
 46 
 
 5 
 
 1548 
 
 74 
 
 5 
 
 4279 
 
 + i 
 
 5 
 
 '579 
 
 75 
 
 26 
 
 0-00475 
 
 - 44 
 
 76 
 
 0-01623 
 
 + 75 
 
 12-6 
 
 0-04278 
 
 - 2 
 
 176 
 
 0-01505 
 
 - 74 
 
 7 
 
 433 
 
 4i 
 
 7 
 
 1699 
 
 76 
 
 7 
 
 4274 
 
 5 
 
 7 
 
 H32 
 
 73 
 
 8 
 
 393 
 
 39 
 
 8 
 
 '775 
 
 77 
 
 8 
 
 4268 
 
 8 
 
 8 
 
 1360 
 
 72 
 
 9 
 
 355 
 
 36 
 
 9 
 
 1852 
 
 77 
 
 9 
 
 4258 
 
 ii 
 
 9 
 
 1289 
 
 7i 
 
 30 
 
 3" 
 
 33 
 
 80 
 
 1929 
 
 78 
 
 ISO 
 
 4245 
 
 H 
 
 18 O 
 
 1219 
 
 69 
 
 3-1 
 
 0-00289 
 
 - 3i 
 
 81 
 
 0-02007 
 
 + 78 
 
 13-1 
 
 0-04230 
 
 - 17 
 
 181 
 
 0*01151 
 
 - 68 
 
 2 
 
 259 
 
 28 
 
 2 
 
 2085 
 
 78 
 
 2 
 
 421 1 
 
 20 
 
 2 
 
 1084 
 
 66 
 
 3 
 
 233 
 
 25 
 
 3 
 
 2163 
 
 78 
 
 3 
 
 4190 
 
 23 
 
 3 
 
 1019 
 
 65 
 
 4 
 
 209 
 
 23 
 
 4 
 
 2241 
 
 79 
 
 4 
 
 4166 
 
 26 
 
 4 
 
 955 
 
 63 
 
 5 
 
 187 
 
 20 
 
 5 
 
 2320 
 
 78 
 
 5 
 
 4i39 
 
 28 
 
 5 
 
 893 
 
 61 
 
 36 
 
 0-00169 
 
 - 18 
 
 86 
 
 0-02398 
 
 + 78 
 
 13-6 
 
 0-04110 
 
 - 3i 
 
 186 
 
 0-00833 
 
 59 
 
 7 
 
 '54 
 
 '4 
 
 7 
 
 *475 
 
 77 
 
 7 
 
 4078 
 
 34 
 
 7 
 
 775 
 
 57 
 
 8 
 
 142 
 
 ii 
 
 8 
 
 2 553 
 
 78 
 
 8 
 
 4043 
 
 37 
 
 8 
 
 720 
 
 55 
 
 9 
 
 132 
 
 9 
 
 9 
 
 2630 
 
 77 
 
 9 
 
 4005 
 
 39 
 
 9 
 
 666 
 
 53 
 
 40 
 
 125 
 
 5 
 
 90 
 
 2706 
 
 76 
 
 140 
 
 3965 
 
 42 
 
 190 
 
 614 
 
 5 1 
 
 41 
 
 0-OOI22 
 
 2 
 
 9-1 
 
 0-02781 
 
 + 75 
 
 14'1 
 
 0-03922 
 
 - 44 
 
 19-1 
 
 0-00564 
 
 - 49 
 
 2 
 
 121 
 
 + I 
 
 2 
 
 2856 
 
 75 
 
 2 
 
 3878 
 
 46 
 
 2 
 
 5'7 
 
 46 
 
 3 
 
 I2J 
 
 4 
 
 3 
 
 2930 
 
 74 
 
 3 
 
 3830 
 
 49 
 
 3 
 
 473 
 
 44 
 
 4 
 
 129 
 
 7 
 
 4 
 
 3002 
 
 73 
 
 4 
 
 378o 
 
 5' 
 
 4 
 
 43 
 
 42 
 
 5 
 
 137 
 
 10 
 
 5 
 
 3074 
 
 7' 
 
 5 
 
 37*8 
 
 53 
 
 5 
 
 39 
 
 39 
 
 4'6 
 
 O-OOI48 
 
 + 13 
 
 96 
 
 0-03144 
 
 + 7 
 
 14-6 
 
 0-03674 
 
 - 55 
 
 196 
 
 0-00353 
 
 - 36 
 
 7 
 
 162 
 
 15 
 
 7 
 
 3*'3 
 
 69 
 
 7 
 
 3618 
 
 57 
 
 7 
 
 3'9 
 
 33 
 
 8 
 
 I 7 8 
 
 18 
 
 8 
 
 3281 
 
 67 
 
 8 
 
 3560 
 
 59 
 
 8 
 
 287 
 
 3i 
 
 9 
 
 198 
 
 22 
 
 9 
 
 3347 
 
 65 
 
 9 
 
 3500 
 
 61 
 
 9 
 
 257 
 
 28 
 
 50 
 
 O-OO22I 
 
 + 24 
 
 100 
 
 0-0341 1 
 
 + 64 
 
 15-0 
 
 0-03438 
 
 - 63 
 
 200 
 
 0-00231 
 
 - 25 
 
 Applied Constant : +0 02700. 
 z 4 6 
 
XVI 
 
 SATELLITE IV 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 Equation of Longitude Argument E 
 
 I 
 
 2 
 
 3 
 
 4 
 
 i 
 
 2 
 
 3 
 
 4 
 
 i 
 
 2 
 
 3 
 
 4 
 
 I 
 
 2 
 
 3 
 
 4 
 
 E 
 
 Equa- 
 tion 
 
 A 
 
 1- 
 
 E 
 
 Equa- 
 tion 
 
 A 
 O d 'OI 
 
 M- 
 
 E 
 
 Equa- 
 tion 
 
 A 
 O d OI 
 
 - 
 
 E 
 
 Equa- 
 tion 
 
 A 
 O a 'OI 
 
 1- 
 
 d 
 000 
 
 o 
 
 0-88000 
 
 + 321,0 
 
 0,0 
 
 d 
 2 50 
 
 o 
 
 1-56655 
 
 + 1 86,4 
 
 -o,5 
 
 d 
 
 500 
 
 o 
 
 1-68198 
 
 - 99,9 
 
 -0,6 
 
 d 
 
 7-50 
 
 
 
 1-14203 
 
 -299,7 
 
 -0,2 
 
 05 
 
 89605 
 
 320,9 
 
 0,0 
 
 55 
 
 '57575 
 
 i*i,S 
 
 o,5 
 
 OS 
 
 1-67685 
 
 105,5 
 
 0,6 
 
 55 
 
 12700 
 
 301,5 
 
 0,2 
 
 10 
 
 91209 
 
 320J 
 
 0,0 
 
 60 
 
 1-58470 
 
 176,4 
 
 ,5 
 
 10 
 
 1-67143 
 
 in, i 
 
 o,5 
 
 60 
 
 11188 
 
 303,2 
 
 0,2 
 
 15 
 
 92812 
 
 320,4 
 
 0,0 
 
 65 
 
 '59339 
 
 171,2 
 
 o,5 
 
 15 
 
 1-66574 
 
 "6,5 
 
 o,5 
 
 65 
 
 09668 
 
 304,7 
 
 o, 
 
 20 
 
 '944 '3 
 
 320,0 
 
 0,0 
 
 70 
 
 1-60182 
 
 166, i 
 
 o,5 
 
 20 
 
 1-65978 
 
 121,9 
 
 
 70 
 
 08141 
 
 306,1 
 
 o, 
 
 25 
 
 96012 
 
 319,5 
 
 -0,1 
 
 75 
 
 i -61000 
 
 161,0 
 
 o,5 
 
 25 
 
 '65355 
 
 '27,4 
 
 ',5 
 
 75 
 
 06607 
 
 307,6 
 
 o, 
 
 030 
 
 0-97608 
 
 + 318,9 
 
 -o, 
 
 280 
 
 1-61792 
 
 + 155,7 
 
 -o,5 
 
 530 
 
 1-64704 
 
 -132,9 
 
 -o,5 
 
 780 
 
 05065 
 
 - 308,9 
 
 -o, 
 
 35 
 
 99201 
 
 3l8,l 
 
 o, 
 
 85 
 
 1-62557 
 
 150,3 
 
 o,5 
 
 35 
 
 1-64026 
 
 138,3 
 
 o,5 
 
 85 
 
 03518 
 
 309,8 
 
 o, 
 
 40 
 
 1-00789 
 
 3'7,2 
 
 o, 
 
 90 
 
 1-63295 
 
 H5,o 
 
 o,5 
 
 40 
 
 ''63321 
 
 '43,6 
 
 o,5 
 
 90 
 
 01967 
 
 3'0,7 
 
 o, 
 
 45 
 
 1-02373 
 
 3'6,3 
 
 o, 
 
 95 
 
 1-64007 
 
 139,8 
 
 0,6 
 
 45 
 
 1-62590 
 
 148,7 
 
 o,5 
 
 95 
 
 00411 
 
 3",7 
 
 o, 
 
 50 
 
 1-03952 
 
 3'5,3 
 
 -o, 
 
 300 
 
 1-64693 
 
 '34,2 
 
 0,6 
 
 50 
 
 1-61834 
 
 '54,0 
 
 o,5 
 
 800 
 
 0-98850 
 
 312,6 
 
 o, 
 
 055 
 
 1-05526 
 
 + 3'4, 
 
 -0,2 
 
 3-05 
 
 1-65349 
 
 + 128,4 
 
 -0,6 
 
 555 
 
 1-61050 
 
 -'59,2 
 
 -0,5 
 
 8-05 
 
 0-97285 
 
 -313,2 
 
 -o, 
 
 60 
 
 1-07092 
 
 3'2,5 
 
 0,2 
 
 10 
 
 1-65977 
 
 123,0 
 
 0,6 
 
 60 
 
 1-60242 
 
 164,0 
 
 o,5 
 
 10 
 
 95718 
 
 313,8 
 
 -o, 
 
 65 
 
 1-08651 
 
 311,0 
 
 0,2 
 
 15 
 
 1-66579 
 
 "'7,5 
 
 0,6 
 
 65 
 
 1-59410 
 
 169,1 
 
 o,5 
 
 15 
 
 94147 
 
 3 '4,4 
 
 0,0 
 
 '70 
 
 I'1O202 
 
 309,5 
 
 0,2 
 
 20 
 
 1-67152 
 
 1 1 1,6 
 
 0,6 
 
 70 
 
 1-58551 
 
 '74,2 
 
 o,5 
 
 2O 
 
 92574 
 
 3'4,8 
 
 0,0 
 
 75 
 
 I-I 1746 
 
 307,9 
 
 0,2 
 
 25 
 
 1-67695 
 
 1 06,0 
 
 0,6 
 
 75 
 
 1-57668 
 
 '79,2 
 
 o,5 
 
 25 
 
 90999 
 
 3'5,o 
 
 0,0 
 
 080 
 
 I-I328I 
 
 + 306,0 
 
 -0,2 
 
 3-3O 
 
 1-68212 
 
 + 100,4 
 
 -0,6 
 
 580 
 
 1-56759 
 
 -184,0 
 
 -o,5 
 
 830 
 
 0-89424 
 
 -3,5,1 
 
 0,0 
 
 85 
 
 1-14806 
 
 304,2 
 
 0,2 
 
 35 
 
 1-68699 
 
 94,5 
 
 0,6 
 
 85 
 
 1-55828 
 
 188,5 
 
 o,5 
 
 35 
 
 87848 
 
 3'5,i 
 
 0,0 
 
 90 
 
 1-16323 
 
 302,3 
 
 0,2 
 
 4O 
 
 1-69157 
 
 88,7 
 
 0,6 
 
 90 
 
 1-54874 
 
 '93,3 
 
 o,5 
 
 40 
 
 86273 
 
 3'5,i 
 
 0,0 
 
 95 
 
 I-I7829 
 
 300,2 
 
 0,2 
 
 45 
 
 1-69586 
 
 83,0 
 
 0,6 
 
 95 
 
 1-53895 
 
 198,1 
 
 o,5 
 
 45 
 
 84699 
 
 3'4,8 
 
 0,0 
 
 1 00 
 
 I-I9324 
 
 298,0 
 
 0,2 
 
 so 
 
 1-69987 
 
 77,3 
 
 0,6 
 
 6-00 
 
 1-52893 
 
 202,6 
 
 o,4 
 
 50 
 
 83125 
 
 3H,6 
 
 0,0 
 
 1-05 
 
 I-20808 
 
 + 295,7 
 
 -0,2 
 
 3-55 
 
 1-70359 
 
 + 7i,3 
 
 -0,6 
 
 605 
 
 1-51869 
 
 - 206,9 
 
 -0,4 
 
 8-55 
 
 0-81553 
 
 -314,2 
 
 0,0 
 
 1O 
 
 I-2228I 
 
 293,3 
 
 o,3 
 
 60 
 
 170700 
 
 65,2 
 
 0,6 
 
 10 
 
 1-50824 
 
 211,4 
 
 o,4 
 
 60 
 
 79983 
 
 3 '3,7 
 
 + 0, 
 
 15 
 
 I-2374I 
 
 290,7 
 
 o,3 
 
 65 
 
 171011 
 
 59,4 
 
 0,6 
 
 15 
 
 1-49755 
 
 215,9 
 
 o,4 
 
 65 
 
 78416 
 
 3'3,i 
 
 o, 
 
 20 
 
 I-25188 
 
 287,9 
 
 o,3 
 
 70 
 
 171294 
 
 53,6 
 
 0,6 
 
 20 
 
 1-48665 
 
 220,0 
 
 o,4 
 
 7O 
 
 76852 
 
 3'2,4 
 
 o, 
 
 25 
 
 1^26620 
 
 285,2 
 
 o,3 
 
 75 
 
 171547 
 
 47,6 
 
 0,6 
 
 25 
 
 '47555 
 
 224,0 
 
 o,4 
 
 75 
 
 75292 
 
 311,6 
 
 o, 
 
 1 30 
 
 1-28040 
 
 + 282,4 
 
 -o,3 
 
 3-80 
 
 171770 
 
 + 4',7 
 
 -0,6 
 
 630 
 
 1-46425 
 
 -228,2 
 
 -0,4 
 
 880 
 
 073736 
 
 -310,6 
 
 + 0, 
 
 35 
 
 1-29444 
 
 279,4 
 
 0,3 
 
 85 
 
 171964 
 
 35,8 
 
 0,6 
 
 35 
 
 '45273 
 
 232,3 
 
 0,4 
 
 85 
 
 72186 
 
 309,6 
 
 o, 
 
 40 
 
 1-30834 
 
 276,3 
 
 o,3 
 
 90 
 
 1-72128 
 
 29,7 
 
 0,6 
 
 40 
 
 I -44101 
 
 236,3 
 
 o,4 
 
 90 
 
 70640 
 
 308,6 
 
 o, 
 
 45 
 
 1-32207 
 
 273,o 
 
 
 95 
 
 1-72261 
 
 23,5 
 
 0,6 
 
 45 
 
 I '42910 
 
 240,0 
 
 o,4 
 
 95 
 
 69100 
 
 307,2 
 
 o, 
 
 50 
 
 1-33564 
 
 269,8 
 
 o!3 
 
 400 
 
 1-72363 
 
 '7,6 
 
 0,6 
 
 50 
 
 1-41701 
 
 243,7 
 
 ,4 
 
 9-OO 
 
 67568 
 
 305,7 
 
 o, 
 
 1'55 
 
 1-34905 
 
 + 266,6 
 
 -0,3 
 
 405 
 
 72437 
 
 + n,7 
 
 -0,6 
 
 6-55 
 
 1-40473 
 
 - 247,7 
 
 -0,4 
 
 9-05 
 
 0-66043 
 
 - 304>3 
 
 + 0,1 
 
 60 
 
 1-36230 
 
 263,1 
 
 0,4 
 
 1O 
 
 72480 
 
 + 5,7 
 
 0,6 
 
 60 
 
 1-39226 
 
 251,3 
 
 o,3 
 
 1O 
 
 64525 
 
 302,8 
 
 0,2 
 
 65 
 
 1-37536 
 
 259,5 
 
 
 15 
 
 72494 
 
 - 0,2 
 
 0,6 
 
 65 
 
 1-37962 
 
 254,5 
 
 o,3 
 
 15 
 
 63015 
 
 301,1 
 
 0,2 
 
 70 
 
 1-38825 
 
 256,0 
 
 ,4 
 
 20 
 
 72478 
 
 6,* 
 
 0,6 
 
 7O 
 
 1-36681 
 
 258,0 
 
 o,3 
 
 20 
 
 61514 
 
 299,4 
 
 0,2 
 
 75 
 
 1-40096 
 
 252,4 
 
 o,4 
 
 25 
 
 72432 
 
 12,1 
 
 0,6 
 
 75 
 
 1-35382 
 
 261,4 
 
 o,3 
 
 25 
 
 60021 
 
 297,6 
 
 0,2 
 
 1-80 
 
 1-41349 
 
 + 248,4 
 
 -0,4 
 
 430 
 
 72357 
 
 - 18,1 
 
 -0,6 
 
 6-80 
 
 1-34067 
 
 - 264,6 
 
 -0,3 
 
 9-30 
 
 0-58538 
 
 -295,6 
 
 + 0,2 
 
 85 
 
 1-42581 
 
 244,4 
 
 
 35 
 
 72251 
 
 24,' 
 
 0,6 
 
 85 
 
 1-32736 
 
 267,8 
 
 o,3 
 
 35 
 
 57065 
 
 293,5 
 
 0,2 
 
 90 
 
 1-43793 
 
 24 ,5 
 
 o,4 
 
 4O 
 
 72116 
 
 30,1 
 
 0,6 
 
 90 
 
 1-31389 
 
 270,7 
 
 ,3 
 
 4O 
 
 55603 
 
 291,3 
 
 0,2 
 
 95 
 
 i -44986 
 
 236,5 
 
 
 45 
 
 7195 
 
 36,' 
 
 0,6 
 
 95 
 
 1-30029 
 
 273,5 
 
 ,3 
 
 45 
 
 54152 
 
 289,0 
 
 0,2 
 
 200 
 
 1-461 58 
 
 232,3 
 
 o,4 
 
 50 
 
 7'755 
 
 42,0 
 
 0,6 
 
 700 
 
 1-28654 
 
 276,5 
 
 ,3 
 
 5O 
 
 52713 
 
 286,6 
 
 0,2 
 
 205 
 
 1-47309 
 
 + 228,1 
 
 -0,4 
 
 4-55 
 
 71530 
 
 - 47,9 
 
 -0,6 
 
 7-05 
 
 1-27264 
 
 -279,3 
 
 -0,3 
 
 955 
 
 0-51286 
 
 -284,1 
 
 + 0,3 
 
 10 
 
 1-48439 
 
 223,7 
 
 0*4 
 
 60 
 
 71276 
 
 53,8 
 
 0,6 
 
 1O 
 
 1-25861 
 
 282,0 
 
 o,3 
 
 60 
 
 49872 
 
 281,5 
 
 0,3 
 
 15 
 20 
 
 1-49546 
 1-50632 
 
 2'9,3 
 214,8 
 
 0,4 
 
 65 
 70 
 
 70992 
 70680 
 
 59-6 
 65,4 
 
 0,6 
 0,6 
 
 15 
 2O 
 
 1-24444 
 
 1-23014 
 
 284,7 
 287,1 
 
 o,3 
 
 0,2 
 
 65 
 7O 
 
 48471 
 47084 
 
 278,8 
 276,0 
 
 o,3 
 0,3 
 
 25 
 
 1-51694 
 
 2IO, I 
 
 o,5 
 
 75 
 
 70338 
 
 7',3 
 
 0,6 
 
 25 
 
 1-21573 
 
 289,4 
 
 0,2 
 
 75 
 
 457" 
 
 273,2 
 
 0,3 
 
 230 
 
 '52733 
 
 + 205,6 
 
 -,5 
 
 480 
 
 69967 
 
 - 77,o 
 
 -0,6 
 
 7'3O 
 
 1-20120 
 
 -291,7 
 
 -0,2 
 
 980 
 
 0-44352 
 
 -270,3 
 
 + 0,3 
 
 35 
 40 
 45 
 250 
 
 1-53750 
 
 ''54743 
 1-55711 
 1-56655 
 
 201,0 
 196,1 
 191,2 
 + 186,4 
 
 ',S 
 
 o,5 
 o,5 
 
 85 
 90 
 95 
 5-OO 
 
 69568 
 69141 
 68684 
 68198 
 
 82,6 
 88,4 
 94,3 
 - 99,9 
 
 0,6 
 0,6 
 0,6 
 -0,6 
 
 35 
 40 
 45 
 750 
 
 1-18656 
 I-I7I82 
 1-15697 
 I-I4203 
 
 293,8 
 295,9 
 297,9 
 -299,7 
 
 0,2 
 0,2 
 
 0,2 
 -0,2 
 
 85 
 9O 
 95 
 1000 
 
 43008 
 41680 
 40368 
 0-39072 
 
 267,2 
 264,0 
 260,8 
 -257,6 
 
 o,3 
 
 o,3 
 + 0,3 
 
 Applied Constant: +o''88ooo. 
 *47 
 
SATELLITE IV 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 Equation of Longitude Argument E 
 
 XVI continued 
 
 1 
 
 2 
 
 3 
 
 4 
 
 i 
 
 2 
 
 3 
 
 4 
 
 i 
 
 2 
 
 3 
 
 4 
 
 I 
 
 2 
 
 3 
 
 4 
 
 E 
 
 Equa- 
 
 A 
 
 
 E 
 
 Equa- 
 
 A 
 
 
 
 Equa- 
 
 A 
 
 A 
 
 
 Equa- 
 
 A 
 
 
 
 tion 
 
 O d 'OI 
 
 
 
 tion 
 
 O d> 01 
 
 
 
 tion 
 
 O d 'OI 
 
 
 
 tion 
 
 oi-oi 
 
 |A 
 
 d 
 1O-OO 
 
 
 
 0-39072 
 
 -257,5 
 
 + 0,3 
 
 d 
 
 12 SO 
 
 o 
 
 0-03515 
 
 - 5,2 
 
 + 0,6 
 
 d 
 1500 
 
 o 
 
 0-37417 
 
 + 256,7 
 
 + 0,4 
 
 d 
 
 17 SO 
 
 o 
 
 1-13573 
 
 + 305,7 
 
 -0,2 
 
 os 
 
 37793 
 
 254,0 
 
 ,4 
 
 55 
 
 3504 
 
 + 0,8 
 
 0,6 
 
 05 
 
 38710 
 
 260,3 
 
 o,3 
 
 55 
 
 1-15097 
 
 303,9 
 
 0,2 
 
 10 
 
 36532 
 
 250,4 
 
 0,4 
 
 60 
 
 3523 
 
 7,0 
 
 0,6 
 
 1O 
 
 40020 
 
 263,7 
 
 0,3 
 
 60 
 
 1-16612 
 
 302,0 
 
 0,2 
 
 15 
 
 35289 
 
 246,9 
 
 o,4 
 
 65 
 
 3574 
 
 13,1 
 
 0,6 
 
 15 
 
 41347 
 
 267,1 
 
 o,3 
 
 65 
 
 1-18117 
 
 299,8 
 
 0,2 
 
 2O 
 
 34063 
 
 243,4 
 
 o,4 
 
 7O 
 
 3654 
 
 1 8,9 
 
 0,6 
 
 20 
 
 42691 
 
 270,4 
 
 o,3 
 
 70 
 
 1-19610 
 
 297,5 
 
 0,2 
 
 25 
 
 32855 
 
 239,6 
 
 o,4 
 
 75 
 
 3763 
 
 24,8 
 
 0,6 
 
 25 
 
 44051 
 
 273,7 
 
 o,3 
 
 75 
 
 1-21092 
 
 295,2 
 
 0,2 
 
 103O 
 
 0-31667 
 
 -235,7 
 
 + 0,4 
 
 1280 
 
 0-03902 
 
 + 30,8 
 
 + 0,6 
 
 15-30 
 
 0-45428 
 
 + 276,9 
 
 + 0,3 
 
 1780 
 
 1-22562 
 
 + 292,6 
 
 -o,3 
 
 35 
 
 30500 
 
 231,4 
 
 0,4 
 
 85 
 
 4071 
 
 36,8 
 
 0,6 
 
 35 
 
 46820 
 
 279,9 
 
 o,3 
 
 85 
 
 1-24018 
 
 290,0 
 
 
 40 
 
 29353 
 
 227,2 
 
 0,4 
 
 9O 
 
 4270 
 
 42,8 
 
 0,6 
 
 40 
 
 48227 
 
 283,0 
 
 o,3 
 
 9O 
 
 1-25462 
 
 287,5 
 
 0,3 
 
 45 
 
 . -28226 
 
 223,4 
 
 o,4 
 
 95 
 
 4499 
 
 48,8 
 
 0,6 
 
 45 
 
 49650 
 
 286,0 
 
 o,3 
 
 95 
 
 1-26893 
 
 284,8 
 
 o,3 
 
 50 
 
 27119 
 
 219,2 
 
 ,4 
 
 1300 
 
 4758 
 
 54,7 
 
 0,6 
 
 50 
 
 51087 
 
 288J 
 
 ,3 
 
 18-00 
 
 1-28310 
 
 281,9 
 
 o,3 
 
 1055 
 
 0-26034 
 
 -214,8 
 
 + 0,4 
 
 1305 
 
 0-05046 
 
 + 60,5 
 
 + 0,6 
 
 15-55 
 
 0-52537 
 
 + 291,0 
 
 + 0,2 
 
 1805 
 
 1-29712 
 
 + 278,8 
 
 -0,3 
 
 6O 
 
 24971 
 
 210,5 
 
 o,4 
 
 1O 
 
 5363 
 
 66,5 
 
 0,6 
 
 60 
 
 53998 
 
 293,4 
 
 0,2 
 
 1O 
 
 1-31098 
 
 275,7 
 
 0,3 
 
 65 
 
 23929 
 
 206, 1 
 
 o,5 
 
 15 
 
 5711 
 
 72,4 
 
 0,6 
 
 '65 
 
 55471 
 
 295,8 
 
 0,2 
 
 15 
 
 1-32469 
 
 272,6 
 
 0,3 
 
 7O 
 
 22910 
 
 201,6 
 
 o,5 
 
 20 
 
 6087 
 
 78,2 
 
 0,6 
 
 70 
 
 56956 
 
 298,3 
 
 0,2 
 
 20 
 
 1-33824 
 
 269,2 
 
 o,3 
 
 75 
 
 21913 
 
 i97,o 
 
 o,5 
 
 25 
 
 6493 
 
 84,2 
 
 0,6 
 
 75 
 
 58454 
 
 300,7 
 
 0,2 
 
 25 
 
 1-35161 
 
 265,8 
 
 o,3 
 
 1080 
 
 0-20940 
 
 -192,3 
 
 + o,5 
 
 1330 
 
 0-06929 
 
 + 89,9 
 
 + 0,6 
 
 1580 
 
 0-59963 
 
 + 302,8 
 
 + 0,2 
 
 18 30 
 
 1-36482 
 
 + 262,5 
 
 -o,3 
 
 85 
 
 19990 
 
 187,8 
 
 o,5 
 
 35 
 
 7392 
 
 95,5 
 
 0,6 
 
 85 
 
 61482 
 
 304,7 
 
 0,2 
 
 35 
 
 1-37786 
 
 259,0 
 
 -4 
 
 90 
 
 19062 
 
 183,1 
 
 o,5 
 
 40 
 
 7884 
 
 101,4 
 
 0,6 
 
 90 
 
 63010 
 
 306,5 
 
 0,2 
 
 40 
 
 1-39072 
 
 255,3 
 
 0,4 
 
 95 
 
 18159 
 
 178,0 
 
 o,5 
 
 45 
 
 8406 
 
 107,1 
 
 0,6 
 
 95 
 
 64547 
 
 308,2 
 
 0,2 
 
 45 
 
 1-40339 
 
 251,4 
 
 o,4 
 
 11-OO 
 
 17282 
 
 173,0 
 
 o,5 
 
 so 
 
 8955 
 
 H2,7 
 
 0,6 
 
 1600 
 
 66092 
 
 309,9 
 
 0,2 
 
 50 
 
 1-41586 
 
 247,6 
 
 
 11 05 
 
 0-16429 
 
 -168,2 
 
 + 0,5 
 
 1355 
 
 0-09533 
 
 + 118,4 
 
 + 0,6 
 
 16 05 
 
 0-67646 
 
 + 311,6 
 
 + 0,2 
 
 18-55 
 
 1-42815 
 
 + 243,9 
 
 -0,4 
 
 1O 
 
 15600 
 
 163,2 
 
 o,5 
 
 60 
 
 10139 
 
 124,0 
 
 0,6 
 
 10 
 
 69208 
 
 312,9 
 
 0,1 
 
 60 
 
 1-44025 
 
 239,8 
 
 0,4 
 
 15 
 
 14797 
 
 158,0 
 
 o,5 
 
 65 
 
 10773 
 
 129,6 
 
 0,6 
 
 15 
 
 70775 
 
 314,1 
 
 0,1 
 
 65 
 
 i'452i3 
 
 235-6 
 
 
 2O 
 
 14020 
 
 152,9 
 
 o,5 
 
 7O 
 
 "435 
 
 135,1 
 
 o,5 
 
 20 
 
 72349 
 
 315,4 
 
 0,1 
 
 70 
 
 1-46381 
 
 231,5 
 
 o^4 
 
 25 
 
 13268 
 
 H7,8 
 
 o,S 
 
 75 
 
 12124 
 
 140,4 
 
 
 25 
 
 73929 
 
 
 0,1 
 
 75 
 
 1-47528 
 
 227,3 
 
 
 11 30 
 
 0-12542 
 
 - 142,6 
 
 + 0,5 
 
 1380 
 
 0-12839 
 
 + H5,9 
 
 + o,5 
 
 1630 
 
 0-75514 
 
 + 317,4 
 
 + 0,1 
 
 1880 
 
 1-48654 
 
 + 222,8 
 
 -0,4 
 
 35 
 
 11842 
 
 137,3 
 
 o,5 
 
 85 
 
 13583 
 
 
 o',5 
 
 35 
 
 77103 
 
 318,2 
 
 0,1 
 
 85 
 
 1-49756 
 
 218,3 
 
 o,4 
 
 40 
 
 11169 
 
 132,0 
 
 o,5 
 
 90 
 
 14354 
 
 I56J8 
 
 o,5 
 
 4O 
 
 78696 
 
 319,0 
 
 0,1 
 
 9O 
 
 1-50837 
 
 214,0 
 
 o,4 
 
 45 
 
 10522 
 
 126,6 
 
 0,6 
 
 95 
 
 15151 
 
 162,0 
 
 o,5 
 
 45 
 
 80294 
 
 3I9>7 
 
 + 0,1 
 
 95 
 
 1-51896 
 
 209,5 
 
 o,5 
 
 5O 
 
 09903 
 
 120,9 
 
 0,6 
 
 1400 
 
 15974 
 
 167,2 
 
 o,5 
 
 SO 
 
 81893 
 
 320,2 
 
 0,0 
 
 19 00 
 
 1-52932 
 
 204,7 
 
 o,5 
 
 11-55 
 
 0-09313 
 
 -ii5,3 
 
 + 0,6 
 
 1405 
 
 0-16823 
 
 + 172,3 
 
 + o,5 
 
 1655 
 
 0-83495 
 
 + 320,5 
 
 0,0 
 
 19 OS 
 
 1-53943 
 
 + 199,9 
 
 -o,5 
 
 60 
 
 8750 
 
 109,9 
 
 0,6 
 
 1O 
 
 17697 
 
 177,1 
 
 o,5 
 
 60 
 
 85098 
 
 320,7 
 
 0,0 
 
 1O 
 
 i'5493i 
 
 195,3 
 
 
 65 
 
 8214 
 
 104,4 
 
 0,6 
 
 15 
 
 18596 
 
 182,3 
 
 
 65 
 
 86702 
 
 320,9 
 
 0,0 
 
 15 
 
 1-55896 
 
 190,4 
 
 0,5 
 
 7O 
 
 7706 
 
 98,7 
 
 0,6 
 
 20 
 
 19520 
 
 187,2 
 
 0,5 
 
 7O 
 
 88307 
 
 321,0 
 
 0,0 
 
 20 
 
 1-56835 
 
 185,3 
 
 o>5 
 
 75 
 
 7227 
 
 93, 
 
 0,6 
 
 25 
 
 20468 
 
 192,2 
 
 o,5 
 
 75 
 
 89912 
 
 320,9 
 
 0,0 
 
 25 
 
 i '57749 
 
 1 80,3 
 
 o,5 
 
 11 80 
 
 0-06775 
 
 - 87,5 
 
 + 0,6 
 
 1430 
 
 0-21442 
 
 + 197,2 
 
 + 0,5 
 
 1680 
 
 0-91516 
 
 + 320,6 
 
 0,0 
 
 19 30 
 
 1-58638 
 
 + 175,4 
 
 -o,5 
 
 85 
 
 6352 
 
 8i,7 
 
 0,6 
 
 35 
 
 22440 
 
 201,9 
 
 o,5 
 
 85 
 
 93118 
 
 320,3 
 
 0,0 
 
 35 
 
 1-59503 
 
 170,4 
 
 o,5 
 
 90 
 
 5958 
 
 76,0 
 
 0,6 
 
 4O 
 
 23461 
 
 206,5 
 
 o,5 
 
 9O 
 
 94719 
 
 319,9 
 
 -o, 
 
 40 
 
 1-60342 
 
 165,1 
 
 o,5 
 
 95 
 
 5592 
 
 70,3 
 
 0,6 
 
 45 
 
 24505 
 
 21 1,2 
 
 o,5 
 
 95 
 
 96317 
 
 319,4 
 
 o, 
 
 45 
 
 1-61154 
 
 159,8 
 
 o,5 
 
 1200 
 
 5255 
 
 64,3 
 
 0,6 
 
 50 
 
 25573 
 
 215,8 
 
 
 17 00 
 
 97913 
 
 318,8 
 
 o, 
 
 5O 
 
 1-61940 
 
 154,7 
 
 o,5 
 
 12-05 
 
 0-04949 
 
 - 58,4 
 
 + 0,6 
 
 1455 
 
 0-26663 
 
 + 220,2 
 
 + 0,4 
 
 1705 
 
 0-99505 
 
 + 317,9 
 
 -o, 
 
 19-55 
 
 1-62701 
 
 + 149-4 
 
 -o,5 
 
 10 
 
 4671 
 
 52,6 
 
 0,6 
 
 60 
 
 [ '27775 
 
 224,6 
 
 0,4 
 
 10 
 
 1-01092 
 
 317,0 
 
 o, 
 
 6O 
 
 i'63434 
 
 H3,9 
 
 
 15 
 
 4423 
 
 46,8 
 
 0,6 
 
 65 
 
 28909 
 
 228,8 
 
 0,4 
 
 15 
 
 1-02675 
 
 3l6,l 
 
 o, 
 
 65 
 
 1-64140 
 
 138,3 
 
 0^6 
 
 2O 
 
 4203 
 
 4,9 
 
 0,6 
 
 7O 
 
 30063 
 
 233,0 
 
 ,4 
 
 2O 
 
 1-04253 
 
 3H,9 
 
 o, 
 
 70 
 
 1-64817 
 
 132,9 
 
 0,6 
 
 25 
 
 4014 
 
 34,8 
 
 0,6 
 
 75 
 
 31239 
 
 237,2 
 
 
 25 
 
 1-05824 
 
 313,6 
 
 o, 
 
 75 
 
 1-65469 
 
 127,6 
 
 0,6 
 
 1230 
 
 0-03855 
 
 - 28,8 
 
 + 0,6 
 
 1480 
 
 0-32435 
 
 + 241,3 
 
 + 0,4 
 
 1730 
 
 07389 
 
 + 312,3 
 
 -o, 
 
 19'80 
 
 1-66093 
 
 + 121,9 
 
 -0,6 
 
 35 
 
 3726 
 
 22,9 
 
 0,6 
 
 85 
 
 33652 
 
 245,3 
 
 
 35 
 
 08947 
 
 3IO,9 
 
 o, 
 
 85 
 
 1-66688 
 
 I I 6,2 
 
 0,6 
 
 4O 
 
 3626 
 
 17,0 
 
 0,6 
 
 90 
 
 34888 
 
 249,1 
 
 0,4 
 
 40 
 
 10498 
 
 39>3 
 
 0,2 
 
 90 
 
 1-67255 
 
 110,9 
 
 0,6 
 
 45 
 
 3556 
 
 II, I 
 
 0,6 
 
 95 
 
 36143 
 
 252,9 
 
 0,4 
 
 45 
 
 12040 
 
 307,5 
 
 0,2 
 
 95 
 
 1-67797 
 
 105,3 
 
 0,6 
 
 12 50 
 
 0-03515 
 
 - 5,2 
 
 + 0,6 
 
 15 00 
 
 0-37417 
 
 + 256,7 
 
 + 0,4 
 
 1750 
 
 13573 
 
 + 305,7 
 
 -0,2 
 
 2O-00 
 
 1-68308 
 
 + 99,i 
 
 -0,6 
 
 
 1 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 Applied Constant : 4-o'88ooo. 
 248 
 
SATELLITE IV 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XVII 
 
 Equations of Longitude 
 
 XVIII 
 
 I 
 
 2 
 
 3 
 
 i 
 
 i 
 
 3 
 
 F 
 
 Equation 
 
 A 
 Od'I 
 
 F 
 
 Equation 
 
 A 
 0-i-I 
 
 d 
 
 
 
 
 d 
 
 o 
 
 
 00 
 
 O-OOIOO 
 
 + i.3 
 
 300 
 
 0-00042 
 
 - ',0 
 
 06 
 
 108 
 
 ,3 
 
 30 6 
 
 36 
 
 0,9 
 
 1-2 
 
 "5 
 
 ,2 
 
 31-2 
 
 3' 
 
 0,8 
 
 18 
 
 122 
 
 ,3 
 
 31'8 
 
 26 
 
 0,8 
 
 24 
 
 130 
 
 ,3 
 
 32-4 
 
 XI 
 
 0,8 
 
 30 
 
 '37 
 
 ,2 
 
 330 
 
 16 
 
 o,7 
 
 36 
 
 0-00144 
 
 + ,1 
 
 336 
 
 O'OOOIZ 
 
 -0,6 
 
 42 
 
 150 
 
 ,1 
 
 342 
 
 9 
 
 o,5 
 
 4-8 
 
 '57 
 
 ,1 
 
 348 
 
 6 
 
 o,4 
 
 54 
 
 163 
 
 >9 
 
 354 
 
 4 
 
 o,3 
 
 60 
 
 1 68 
 
 .9 
 
 360 
 
 2 
 
 o,3 
 
 66 
 
 0-00174 
 
 + o,9 
 
 366 
 
 o-ooooi 
 
 - 0,2 
 
 72 
 
 179 
 
 0,8 
 
 372 
 
 o 
 
 - 0,1 
 
 78 
 
 183 
 
 o,7 
 
 378 
 
 o 
 
 0,0 
 
 84 
 
 187 
 
 0,6 
 
 384 
 
 o 
 
 + 0,1 
 
 90 
 
 190 
 
 o,5 
 
 390 
 
 I 
 
 o,3 
 
 96 
 
 0-00193 
 
 + 0,5 
 
 39 6 
 
 0-00003 
 
 + 0,3 
 
 102 
 
 196 
 
 ,4 
 
 4O2 
 
 5 
 
 o,4 
 
 108 
 
 198 
 
 o,3 
 
 40 8 
 
 8 
 
 o,5 
 
 114 
 
 199 
 
 0,2 
 
 41-4 
 
 ii 
 
 0,6 
 
 120 
 
 zoo 
 
 + 0,1 
 
 42 -O 
 
 15 
 
 o,7 
 
 12-6 
 
 0*00200 
 
 0,0 
 
 42'6 
 
 0-00019 
 
 + 0,7 
 
 13-2 
 
 200 
 
 - 0,1 
 
 432 
 
 *3 
 
 0,8 
 
 13-8 
 
 199 
 
 0,3 
 
 43-8 
 
 28 
 
 o,9 
 
 14-4 
 
 197 
 
 o,3 
 
 44-4 
 
 34 
 
 1,0 
 
 150 
 
 195 
 
 o,3 
 
 45-O 
 
 40 
 
 1,0 
 
 156 
 
 0-00193 
 
 - 0,4 
 
 456 
 
 0-00046 
 
 + 1,0 
 
 16-2 
 
 190 
 
 0,6 
 
 462 
 
 5* 
 
 1,1 
 
 16-8 
 
 186 
 
 ,7 
 
 468 
 
 59 
 
 ',2 
 
 174 
 
 182 
 
 o,7 
 
 474 
 
 66 
 
 1,2 
 
 18-0 
 
 178 
 
 0,8 
 
 480 
 
 73 
 
 ''3 
 
 186 
 
 0-00173 
 
 - 0,9 
 
 486 
 
 0-00081 
 
 + i,3 
 
 192 
 
 167 
 
 1,0 
 
 492 
 
 88 
 
 1,2 
 
 198 
 
 l6l 
 
 1,0 
 
 498 
 
 95 
 
 ',3 
 
 204 
 
 '55 
 
 1,0 
 
 504 
 
 103 
 
 1,3 
 
 21 
 
 '49 
 
 >,' 
 
 51 
 
 in 
 
 i,3 
 
 21 6 
 
 0-00142 
 
 - i,* 
 
 51 6 
 
 0*00118 
 
 + 1,2 
 
 222 
 
 35 
 
 1,2 
 
 522 
 
 125 
 
 ',3 
 
 228 
 
 128 
 
 1,2 
 
 528 
 
 '33 
 
 i,3 
 
 234 
 
 121 
 
 i,3 
 
 534 
 
 140 
 
 1,1 
 
 240 
 
 H3 
 
 ',3 
 
 54O 
 
 146 
 
 1,1 
 
 24-6 
 
 o - ooio6 
 
 - i,3 
 
 546 
 
 0-00153 
 
 + 1,1 
 
 252 
 
 98 
 
 i,3 
 
 55'2 
 
 '59 
 
 1,0 
 
 258 
 
 9 1 
 
 i,3 
 
 55-8 
 
 165 
 
 1,0 
 
 264 
 
 83 
 
 ',3 
 
 56-4 
 
 171 
 
 0,9 
 
 270 
 
 76 
 
 l, 
 
 57 
 
 176 
 
 0,8 
 
 27-6 
 
 0-00069 
 
 - ',2 
 
 576 
 
 0-00180 
 
 + 0,7 
 
 28-2 
 
 62 
 
 M 
 
 582 
 
 184 
 
 o,7 
 
 28-8 
 
 55 
 
 i,* 
 
 588 
 
 188 
 
 0,6 
 
 29-4 
 
 48 
 
 i,' 
 
 594 
 
 191 
 
 o,5 
 
 30 
 
 0-00042 
 
 - 1,0 
 
 600 
 
 0-00194 
 
 + 0,5 
 
 I 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 G 
 
 Equation 
 
 A 
 0*-I 
 
 G 
 
 Equation 
 
 A 
 
 o*-i 
 
 d 
 
 o 
 
 
 d 
 
 o 
 
 
 o-o 
 
 0-00150 
 
 + 9 
 
 50 
 
 0-00082 
 
 - 7 
 
 1 
 
 '59 
 
 9 
 
 1 
 
 75 
 
 7 
 
 2 
 
 1 68 
 
 9 
 
 *2 
 
 68 
 
 7 
 
 3 
 
 '77 
 
 9 
 
 8 
 
 62 
 
 6 
 
 4 
 
 185 
 
 9 
 
 4 
 
 56 
 
 6 
 
 5 
 
 194 
 
 9 
 
 5 
 
 5' 
 
 5 
 
 06 
 
 O-OO202 
 
 + 8 
 
 5-6 
 
 0-00046 
 
 - 5 
 
 7 
 
 210 
 
 8 
 
 7 
 
 42 
 
 4 
 
 8 
 
 217 
 
 7 
 
 8 
 
 39 
 
 3 
 
 9 
 
 224 
 
 7 
 
 *9 
 
 36 
 
 3 
 
 10 
 
 231 
 
 7 
 
 60 
 
 34 
 
 I 
 
 1-1 
 
 0-00237 
 
 + 6 
 
 61 
 
 0-00032 
 
 - 2 
 
 2 
 
 243 
 
 6 
 
 2 
 
 3' 
 
 - I 
 
 3 
 
 248 
 
 5 
 
 8 
 
 3' 
 
 O 
 
 4 
 
 *53 
 
 5 
 
 4 
 
 3i 
 
 + I 
 
 5 
 
 257 
 
 4 
 
 5 
 
 3* 
 
 2 
 
 1-6 
 
 0-00261 
 
 + 4 
 
 66 
 
 0-00034 
 
 + 3 
 
 7 
 
 264 
 
 3 
 
 *7 
 
 37 
 
 3 
 
 8 
 
 266 
 
 2 
 
 *8 
 
 40 
 
 3 
 
 9 
 
 268 
 
 2 
 
 9 
 
 43 
 
 4 
 
 20 
 
 269 
 
 + I 
 
 7-0 
 
 48 
 
 5 
 
 21 
 2 
 
 0*00269 
 269 
 
 
 
 - I 
 
 7-1 
 2 
 
 0-00053 
 58 
 
 + 5 
 6 
 
 3 
 
 268 
 
 2 
 
 3 
 
 64 
 
 6 
 
 4 
 
 266 
 
 2 
 
 4 
 
 70 
 
 7 
 
 5 
 
 264 
 
 3 
 
 5 
 
 77 
 
 7 
 
 26 
 
 0-00261 
 
 - 4 
 
 76 
 
 0-00084 
 
 + 8 
 
 7 
 
 *57 
 
 4 
 
 7 
 
 9* 
 
 8 
 
 8 
 
 253 
 
 5 
 
 8 
 
 IOO 
 
 8 
 
 9 
 
 248 
 
 5 
 
 9 
 
 108 
 
 9 
 
 30 
 
 243 
 
 6 
 
 80 
 
 117 
 
 9 
 
 3-1 
 
 0-00237 
 
 - 6 
 
 81 
 
 0-00125 
 
 + 9 
 
 2 
 
 231 
 
 7 
 
 2 
 
 '34 
 
 9 
 
 3 
 
 224 8 
 
 3 
 
 '43 
 
 9 
 
 4. 
 
 216 8 
 
 4 
 
 152 
 
 9 
 
 5 
 
 209 i 8 
 
 5 
 
 161 
 
 9 
 
 36 
 
 0*00201 
 
 - 8 
 
 86 
 
 0-00170 
 
 + 9 
 
 7 
 
 '93 
 
 9 
 
 7 
 
 179 
 
 9 
 
 8 
 9 
 
 184 
 176 
 
 9 
 9 
 
 8 
 9 
 
 187 
 196 
 
 9 
 9 
 
 40 
 
 167 
 
 9 
 
 90 
 
 204 
 
 8 
 
 41 
 
 0-00158 
 
 - 9 
 
 91 
 
 0*00212 
 
 + 8 
 
 2 
 3 
 
 149 
 140 
 
 9 
 9 
 
 2 
 
 3 
 
 219 
 226 
 
 7 
 7 
 
 4 
 
 131 
 
 9 
 
 4 
 
 233 
 
 7 
 
 5 
 
 122 
 
 9 
 
 5 
 
 239 
 
 6 
 
 46 
 
 O-OOII4 
 
 - 9 
 
 96 
 
 0*00245 
 
 + 6 
 
 7 
 
 105 
 
 9 
 
 7 
 
 250 
 
 5 
 
 8 
 9 
 50 
 
 97 
 89 
 
 0-00082 
 
 8 
 8 
 - 7 
 
 8 
 9 
 100 
 
 254 
 258 
 0-00262 
 
 4 
 4 
 + 4 
 
 Applied Constant : +o*'ooioo. 
 
 Applied Conrtant 
 
SATELLITE IV 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XIX Equation of Longitude Argument H 
 
 I 
 
 i 
 
 3 
 
 i 
 
 2 
 
 3 
 
 I 
 
 a 
 
 3 
 
 I 
 
 z 
 
 3 
 
 H 
 
 Equation 
 
 A 
 Od-I 
 
 H 
 
 Equation 
 
 A 
 
 o-i 
 
 H 
 
 Equation 
 
 A 
 Qd-I 
 
 H 
 
 Equation 
 
 A 
 Qd-I 
 
 a 
 00 
 
 o 
 
 0-00700 
 
 + M 
 
 d 
 
 5-0 
 
 
 
 0*01307 
 
 - 7 
 
 d 
 1O*0 
 
 
 
 0*00344 
 
 - 20 
 
 d 
 150 
 
 o 
 
 0*00301 
 
 + '9 
 
 1 
 
 7*4 
 
 2 4 
 
 1 
 
 1300 
 
 8 
 
 1 
 
 325 
 
 '9 
 
 *1 
 
 320 
 
 J 9 
 
 2 
 
 747 
 
 24 
 
 2 
 
 1292 
 
 9 
 
 2 
 
 306 
 
 '9 
 
 -2 
 
 339 
 
 20 
 
 3 
 
 771 
 
 *4 
 
 3 
 
 1283 
 
 10 
 
 3 288 
 
 1 8 
 
 3 
 
 359 
 
 2O 
 
 4 
 
 795 
 
 23 
 
 4 
 
 1273 
 
 ii 
 
 4 
 
 270 
 
 it 
 
 4 
 
 379 
 
 21 
 
 5 
 
 III 
 
 23 
 
 5 
 
 1262 
 
 1 1 
 
 5 
 
 253 
 
 '7 
 
 5 
 
 400 
 
 21 
 
 0-6 
 
 0*00841 
 
 + 23 
 
 56 
 
 0-01251 
 
 - 12 
 
 1O 6 
 
 0*00236 
 
 - 17 
 
 156 
 
 0-0042 1 
 
 + 21 
 
 *7 
 
 864 
 
 23 
 
 7 
 
 1238 
 
 13 
 
 *7 
 
 220 
 
 16 
 
 *7 
 
 442 
 
 22 
 
 8 
 
 887 
 
 *3 
 
 *8 
 
 1225 
 
 4 
 
 *8 
 
 205 
 
 15 
 
 *8 
 
 464 
 
 22 
 
 9 
 
 910 
 
 22 
 
 *9 
 
 I* 1 1 
 
 H 
 
 9 
 
 I 9 I 
 
 H 
 
 9 
 
 486 
 
 23 
 
 1O 
 
 932 
 
 22 
 
 60 
 
 1197 
 
 15 
 
 11*O 
 
 177 
 
 '3 
 
 160 
 
 509 
 
 23 
 
 11 
 
 0*00954 
 
 + 21 
 
 61 
 
 0*01 182 
 
 - i5 
 
 111 
 
 0-00164 
 
 - i3 
 
 161 
 
 0*00532 
 
 + 23 
 
 2 
 
 975 
 
 21 
 
 2 
 
 1167 
 
 it 
 
 2 
 
 "Si 
 
 12 
 
 2 
 
 555 
 
 23 
 
 3 
 
 996 
 
 21 
 
 3 
 
 I 150 
 
 17 
 
 3 
 
 140 
 
 II 
 
 3 
 
 578 
 
 23 
 
 *4 
 
 1017 
 
 2O 
 
 4 
 
 "33 
 
 18 
 
 4 
 
 129 
 
 10 
 
 4 
 
 60 1 
 
 2 4 
 
 5 
 
 1037 
 
 20 
 
 5 
 
 1115 
 
 18 
 
 5 
 
 119 
 
 9 
 
 5 
 
 625 
 
 2 4 
 
 16 
 
 0*01057 
 
 + 20 
 
 66 
 
 0*01097 
 
 - '9 
 
 116 
 
 o-ooi 10 
 
 - 8 
 
 166 
 
 0-00649 
 
 + 24 
 
 7 
 
 1077 
 
 '9 
 
 *7 
 
 1078 
 
 '9 
 
 7 
 
 1 02 
 
 8 
 
 7 
 
 673 
 
 24 
 
 8 
 
 1096 
 
 '9 
 
 *8 
 
 1059 
 
 20 
 
 8 
 
 94 
 
 7 
 
 8 
 
 696 
 
 24 
 
 9 
 
 1114 
 
 1 1 
 
 *9 
 
 1039 
 
 20 
 
 9 
 
 88 
 
 6 
 
 9 
 
 720 
 
 24 
 
 20 
 
 1132 
 
 18 
 
 7O 
 
 1019 
 
 21 
 
 120 
 
 82 
 
 6 
 
 170 
 
 743 
 
 23 
 
 2-1 
 
 0*01149 
 
 + 17 
 
 7*1 
 
 0*00998 
 
 21 
 
 121 
 
 0-00077 
 
 - 5 
 
 171 
 
 0*00767 
 
 + 24 
 
 2 
 
 i 165 
 
 16 
 
 2 
 
 977 
 
 21 
 
 2 
 
 73 
 
 4 
 
 2 
 
 79- 
 
 23 
 
 3 
 
 1181 
 
 5 
 
 *3 
 
 956 
 
 22 
 
 3 
 
 70 
 
 3 
 
 3 
 
 814 
 
 23 
 
 4 
 
 1196 
 
 H 
 
 4 
 
 934 
 
 22 
 
 4 
 
 67 
 
 2 
 
 4 
 
 837 
 
 23 
 
 5 
 
 1210 
 
 H 
 
 5 
 
 912 
 
 23 
 
 5 
 
 65 
 
 I 
 
 5 
 
 860 
 
 23 
 
 2-6 
 
 O*OI224 
 
 + 13 
 
 76 
 
 0-00889 
 
 - 23 
 
 12*6 
 
 0-00065 
 
 O 
 
 176 
 
 0*00883 
 
 + 23 
 
 7 
 
 1237 
 
 M 
 
 7 
 
 866 
 
 23 
 
 7 
 
 66 
 
 + I 
 
 7 
 
 906 
 
 22 
 
 8 
 
 I25O 
 
 12 
 
 8 
 
 843 
 
 23 
 
 8 
 
 67 
 
 2 
 
 8 
 
 928 
 
 22 
 
 9 
 
 I26l 
 
 I I 
 
 *9 
 
 820 
 
 23 
 
 9 
 
 69 
 
 3 
 
 9 
 
 950 
 
 22 
 
 3-0 
 
 1272 
 
 10 
 
 80 
 
 797 
 
 23 
 
 ISO 
 
 72 
 
 4 
 
 ISO 
 
 972 
 
 21 
 
 3-1 
 
 0*OJ282 
 
 + 9 
 
 81 
 
 0*00774 
 
 - H 
 
 13-1 
 
 0-00076 
 
 + 4 
 
 18-1 
 
 0-00993 
 
 + 21 
 
 2 
 
 1291 
 
 9 
 
 2 
 
 750 
 
 2 4 
 
 2 
 
 80 
 
 5 
 
 2 
 
 1014 
 
 21 
 
 3 
 
 I2 99 
 
 8 
 
 *3 
 
 726 
 
 24 
 
 3 
 
 86 
 
 6 
 
 3 
 
 1034 
 
 20 
 
 4 
 
 1307 
 
 7 
 
 4 
 
 702 
 
 2 4 
 
 4 
 
 92 
 
 7 
 
 4 
 
 1054 
 
 20 
 
 5 
 
 1313 
 
 6 
 
 5 
 
 679 
 
 2 4 
 
 5 
 
 IOO 
 
 8 
 
 *5 
 
 1073 
 
 '9 
 
 36 
 
 0*01319 
 
 + 5 
 
 86 
 
 0*00655 
 
 - 24 
 
 136 
 
 0*00108 
 
 + 9 
 
 18-6 
 
 0*01092 
 
 + 19 
 
 7 
 
 "3*4 
 
 4 
 
 7 
 
 63, 
 
 2 4 
 
 7 
 
 117 
 
 9 
 
 7 
 
 I I IO 
 
 It 
 
 8 
 
 1328 
 
 3 
 
 *8 
 
 607 
 
 23 
 
 8 
 
 126 
 
 10 
 
 8 
 
 1128 
 
 7 
 
 9 
 
 J33I 
 
 2 
 
 *9 
 
 584 
 
 23 
 
 9 
 
 137 
 
 1 1 
 
 9 
 
 1145 
 
 i7 
 
 40 
 
 '333 
 
 I 
 
 90 
 
 561 
 
 23 
 
 14 O 
 
 148 
 
 12 
 
 190 
 
 1 162 
 
 17 
 
 41 
 
 0*01334 
 
 + I 
 
 91 
 
 0-00538 
 
 - 23 
 
 141 
 
 0-00160 
 
 + '3 
 
 191 
 
 0-01178 
 
 + 16 
 
 2 
 
 1335 
 
 
 
 2 
 
 5'5 
 
 23 
 
 2 
 
 '73 
 
 '4 
 
 2 
 
 "94 
 
 '5 
 
 3 
 
 1334 
 
 - I 
 
 *3 
 
 492 
 
 22 
 
 3 
 
 187 
 
 4 
 
 *3 
 
 1208 
 
 H 
 
 4 
 
 '333 
 
 2 
 
 4 
 
 470 
 
 22 
 
 4 
 
 201 
 
 15 
 
 4 
 
 1222 
 
 14 
 
 5 
 
 I33J 
 
 3 
 
 5 
 
 448 
 
 21 
 
 5 
 
 216 
 
 16 
 
 5 
 
 1235 
 
 >3 
 
 46 
 
 0*01328 
 
 - 4 
 
 96 
 
 0-00427 
 
 - 21 
 
 146 
 
 0*00232 
 
 + 16 
 
 196 
 
 O-OI247 
 
 + 12 
 
 7 
 
 J3H 
 
 5 
 
 7 
 
 406 
 
 21 
 
 7 
 
 248 
 
 J7 
 
 7 
 
 1259 
 
 1 1 
 
 8 
 
 1319 
 
 6 
 
 *8 
 
 35 
 
 21 
 
 8 
 
 265 
 
 ll 
 
 8 
 
 127O 
 
 IO 
 
 9 
 
 1313 
 
 6 
 
 9 
 
 364 
 
 2O 
 
 9 
 
 283 
 
 It 
 
 9 
 
 1280 
 
 10 
 
 50 
 
 0*01307 
 
 - 7 
 
 1O*O 
 
 0-00344 
 
 - 2O 
 
 ISO 
 
 0*00301 
 
 + '9 
 
 200 
 
 O-OI289 
 
 + 9 
 
 Applied Constant : +o"'oo7<x>. 
 
SATELLITE IV 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XX Equation of Longitude Argument o 
 
 I 
 
 2 
 
 3 
 
 I 
 
 1 
 
 3 
 
 i 
 
 
 
 3 
 
 I 
 
 2 
 
 3 
 
 i 
 
 z 
 
 3 
 
 a 
 
 Equation 
 
 A 
 
 a 
 
 Equation 
 
 A 
 10* 
 
 a 
 
 Equation 
 
 A 
 
 10' 
 
 a 
 
 Equation 
 
 A 
 
 a 
 
 Equation 
 
 A 
 10* 
 
 d 
 
 o 
 
 
 d 
 
 o 
 
 
 d 
 
 
 
 
 d 
 
 
 
 
 d 
 
 o 
 
 
 O 
 
 0-03500 
 
 -50 
 
 1000 
 
 0-00279 
 
 - 2 
 
 20OO 
 
 0-02786 
 
 + 42 
 
 3000 
 
 0-06432 
 
 + 19 
 
 4000 
 
 0-05087 
 
 -44 
 
 20 
 
 3400 
 
 5 
 
 1O2O 
 
 276 
 
 - I 
 
 2O2O 
 
 2871 
 
 43 
 
 302O 
 
 6468 
 
 || 
 
 4020 
 
 4999 
 
 44 
 
 4O 
 
 3299 
 
 5 
 
 1O4O 
 
 *75 
 
 O 
 
 2O40 
 
 2957 
 
 43 
 
 3O4O 
 
 6503 
 
 '7 
 
 4O4O 49 I o 
 
 45 
 
 6O 
 
 3199 
 
 5 
 
 1O6O 
 
 277 
 
 + 2 
 
 2O6O 
 
 343 
 
 43 
 
 3060 
 
 6534 
 
 '5 
 
 4060 
 
 4820 
 
 45 
 
 8O 
 
 3101 
 
 So 
 
 1O8O 
 
 282 
 
 3 
 
 2080 
 
 3128 
 
 43 
 
 3080 
 
 6564 
 
 5 
 
 408O 
 
 473 
 
 46 
 
 10O 
 
 3001 
 
 50 
 
 1100 
 
 290 
 
 5 
 
 21 OO 
 
 3215 
 
 43 
 
 3100 
 
 6592 
 
 '3 
 
 41 OO 
 
 4637 
 
 47 
 
 12O 
 
 0-02903 
 
 -49 
 
 1120 
 
 0-00301 
 
 + 6 
 
 2120 
 
 0-03301 
 
 + 43 
 
 31 2O 
 
 0-06617 
 
 + IX 
 
 4120 
 
 0-04543 
 
 -47 
 
 14O 
 
 2805 
 
 49 
 
 1140 
 
 3'4 
 
 7 
 
 2140 
 
 3387 43 
 
 3140 
 
 6639 
 
 1 1 
 
 4140 
 
 4449 
 
 48 
 
 16O 
 
 2708 
 
 48 
 
 1 160 
 
 330 
 
 9 
 
 2160 
 
 3473 43 
 
 3160 
 
 6659 
 
 9 
 
 4160 
 
 4353 
 
 48 
 
 ISO 
 
 2612 
 
 48 
 
 1180 
 
 349 
 
 10 
 
 2180 
 
 3559 43 
 
 3180 
 
 6676 
 
 8 
 
 41 SO 
 
 4256 
 
 49 
 
 2OO 
 
 2517 
 
 48 
 
 12OO 
 
 369 
 
 1 1 
 
 2200 
 
 3646 
 
 43 
 
 3200 
 
 6691 
 
 7 
 
 4200 
 
 4'59 
 
 49 
 
 22O 
 
 0-02422 
 
 -47 
 
 1220 
 
 0*00392 
 
 + 12 
 
 2220 
 
 0*03732 
 
 + 43 
 
 3220 
 
 0-06702 
 
 + 5 
 
 4220 
 
 0-04061 
 
 -50 
 
 24O 
 
 2329 
 
 46 
 
 1240 
 
 418 
 
 H 
 
 2240 
 
 3819 
 
 43 
 
 3240 
 
 6712 
 
 4 
 
 4240 
 
 3961 
 
 5 
 
 26O 
 
 2237 
 
 46 
 
 1260 
 
 446 
 
 15 
 
 2260 
 
 3904 
 
 43 
 
 3260 
 
 6719 
 
 3 
 
 4260 
 
 3863 
 
 5 
 
 28O 
 
 2145 
 
 46 
 
 128O 
 
 477 
 
 16 
 
 228O 
 
 399 
 
 43 
 
 3280 
 
 6723 
 
 + 2 
 
 4280 
 
 3763 
 
 5 
 
 3OO 
 
 2055 
 
 45 
 
 1300 
 
 510 
 
 '7 
 
 2300 
 
 4076 
 
 43 
 
 3300 
 
 6725 
 
 O 
 
 430O 3663 
 
 5 
 
 32O 
 
 0-01967 
 
 -44 
 
 1320 
 
 0*00545 
 
 + 18 
 
 232O 
 
 0-04161 
 
 + 43 
 
 332O 
 
 0-06724 
 
 - I 
 
 432O 0-03563 
 
 -50 
 
 34O 
 
 1880 
 
 43 
 
 1340 
 
 582 
 
 20 
 
 2340 
 
 4246 
 
 42 
 
 3340 
 
 6720 
 
 3 
 
 4340 
 
 3462 
 
 5 
 
 36O 
 
 1796 
 
 42 
 
 136O 
 
 623 
 
 21 
 
 2360 
 
 433 
 
 4 2 
 
 336O 
 
 6712 
 
 5 
 
 436O 
 
 3362 
 
 5 
 
 380 
 
 1713 
 
 4- 
 
 138O 
 
 665 
 
 22 
 
 2380 
 
 44-3 
 
 42 
 
 338O 
 
 6702 
 
 6 
 
 4380 
 
 3262 
 
 5 
 
 4OO 
 
 1631 
 
 40 
 
 1400 
 
 710 
 
 23 
 
 2400 
 
 4496 
 
 42 
 
 3400 
 
 6689 
 
 7 
 
 4400 
 
 3'<53 
 
 5 
 
 42O 
 
 0*01552 
 
 -39 
 
 1420 
 
 0-00756 
 
 + 24 
 
 2420 
 
 0*04579 
 
 + 41 
 
 3420 
 
 0-06673 
 
 - 9 
 
 442O 
 
 0-03063 
 
 -50 
 
 44O 
 
 1474 
 
 38 
 
 144O 
 
 805 
 
 25 
 
 2440 
 
 4660 
 
 4- 
 
 3440 
 
 6655 
 
 IO 
 
 444O 
 
 2965 
 
 49 
 
 460 
 
 1398 
 
 38 
 
 146O 
 
 854 
 
 25 
 
 246O 
 
 474> 
 
 40 
 
 3460 
 
 6634 
 
 ii 
 
 446O 
 
 2867 
 
 49 
 
 480 
 
 1324 
 
 37 
 
 148O 
 
 906 
 
 27 
 
 248O 
 
 4821 
 
 40 
 
 3480 
 
 6610 
 
 '3 
 
 4480 
 
 2769 
 
 49 
 
 500 
 
 1252 
 
 36 
 
 15OO 
 
 962 
 
 28 
 
 250O 
 
 4900 
 
 40 
 
 3500 
 
 6583 
 
 H 
 
 4500 
 
 2673 
 
 48 
 
 520 
 
 0*01182 
 
 -34 
 
 152O 
 
 0-01019 
 
 + 2 9 
 
 252O 
 
 0*04979 
 
 + 39 
 
 3520 
 
 0-06554 
 
 -15 
 
 4520 
 
 0-02576 
 
 -48 
 
 540 
 
 1115 
 
 33 
 
 154O 
 
 1077 
 
 3 
 
 2540 
 
 5057 
 
 39 
 
 3540 
 
 6522 
 
 17 
 
 4540 
 
 2481 
 
 47 
 
 56O 
 
 1050 
 
 32 
 
 156O 
 
 1137 
 
 30 
 
 256O 
 
 5133 
 
 38 
 
 356O 
 
 6486 
 
 18 
 
 4560 
 
 2387 
 
 47 
 
 58O 
 
 988 
 
 3 1 
 
 158O 
 
 1198 
 
 3' 
 
 258O 
 
 5208 
 
 37 
 
 358O 
 
 6449 
 
 20 
 
 4580 
 
 2294 
 
 46 
 
 6OO 
 
 928 
 
 30 
 
 16OO 
 
 1262 
 
 32 
 
 26OO 
 
 5282 
 
 37 
 
 36OO 
 
 6408 
 
 21 
 
 46OO 
 
 22O2 
 
 46 
 
 62O 
 
 0-00870 
 
 -28 
 
 162O 
 
 0*01326 
 
 + 33 
 
 2620 
 
 '5355 
 
 + 36 
 
 3620 
 
 0-06364 
 
 -23 
 
 4620 
 
 0-021 I ( 
 
 -45 
 
 64O 
 66O 
 68O 
 700 
 
 815 
 762 
 712 
 664 
 
 27 
 26 
 
 25 
 
 24 
 
 164O 
 166O 
 168O 
 1700 
 
 '393 
 1460 
 1529 
 1600 
 
 34 
 34 
 35 
 36 
 
 264O 
 2660 
 268O 
 
 2700 
 
 5426 
 5496 
 5566 
 5632 
 
 35 
 35 
 34 
 33 
 
 3640 
 3660 
 368O 
 
 3700 
 
 6318 
 
 6270 
 6219 
 
 6165 
 
 24 
 
 *5 
 
 26 
 
 27 
 
 464O 
 466O 
 468O 
 4700 
 
 2O23 
 
 1935 
 I8 49 
 1764 
 
 44 
 44 
 43 
 42 
 
 72O 
 740 
 76O 
 78O 
 8OO 
 
 0*00619 
 577 
 538 
 501 
 465 
 
 - 22 
 
 2O 
 
 '9 
 18 
 
 "7 
 
 172O 
 1740 
 176O 
 1780 
 18OO 
 
 0-01671 
 
 745 
 1819 
 1895 
 1972 
 
 + 36 
 37 
 38 
 38 
 39 
 
 272O 
 2740 
 2760 
 2780 
 2800 
 
 0-05698 
 
 5763 
 5826 
 
 5887 
 5945 
 
 + 33 
 32 
 
 3 
 29 
 
 3720 
 3740 
 3760 
 3780 
 38OO 
 
 0-06108 
 
 6050 
 
 5989 
 5926 
 
 5860 
 
 -29 
 
 30 
 
 32 
 34 
 
 472O 
 
 4740 
 4760 
 4780 
 
 4800 
 
 0-01681 
 1601 
 1521 
 
 1444 
 1370 
 
 40 
 
 39 
 38 
 
 37 
 
 82O 
 
 840 
 86O 
 
 0-00435 
 
 407 
 
 -'5 
 H 
 
 12 
 
 182O 
 184O 
 186O 
 
 0-02049 
 2128 
 2208 
 
 + 39 
 
 40 
 
 4 
 
 2820 
 2840 
 286O 
 
 0-06003 
 6059 
 6112 
 
 + 29 
 
 27 
 26 
 
 382O 
 3840 
 386O 
 
 0*05791 
 5722 
 5650 
 
 -35 
 35 
 
 37 
 
 4820 
 4840 
 486O 
 
 0-01297 
 1226 
 1157 
 
 -36 
 35 
 34 
 
 88O 
 900 
 
 359 
 338 
 
 II 
 IO 
 
 188O 
 
 1900 
 
 2288 
 2370 
 
 4' 
 4' 
 
 288O 
 
 2900 
 
 6163 
 6214 
 
 26 
 25 
 
 3880 
 3900 
 
 5575 
 S49 8 
 
 38 
 39 
 
 488O 
 4900 
 
 1090 
 
 1027 
 
 33 
 3- 
 
 920 
 940 
 96O 
 98O 
 1OOO 
 
 i 
 
 0-00321 
 306 
 
 294 
 
 285 
 0-00279 
 
 - 8 
 7 
 5 
 4 
 
 - 2 
 
 192O 
 
 1940 
 196O 
 1980 
 2000 
 
 0*02452 
 
 2535 
 2618 
 2702 
 0-02786 
 
 + 41 
 42 
 42 
 
 42 
 + 42 
 
 2920 
 2940 
 2960 
 2980 
 30OO 
 
 0*06262 
 6307 
 6351 
 6392 
 0-06432 
 
 + 23 
 
 22 
 21 
 
 2O 
 + 19 
 
 392O 
 3940 
 396O 
 398O 
 4000 
 
 ^ 
 
 0-05420 
 
 5339 
 5256 
 
 5173 
 
 0-05087 
 
 -40 
 
 4' 
 
 42 
 42 
 -44 
 
 492O 
 
 4940 
 4960 
 4980 
 5000 
 
 0-00966 
 906 
 849 
 
 795 
 0-00743 
 
 -30 
 29 
 28 
 27 
 -25 
 
 
 
XXI 
 
 SATELLITE IV 
 
 Tables of Longitude, Latitude, and 
 
 Equation of Longitude 
 
 Radius Vector 
 
 Argument I 
 
 I 
 
 2 
 
 3 
 
 I 
 
 2 
 
 3 
 
 I 
 
 z 
 
 3 
 
 1 
 
 Equation 
 
 A 
 
 1 
 
 Equation 
 
 A 
 
 1 
 
 Equation 
 
 A 
 
 7 
 
 o 
 
 
 y 
 
 o 
 
 
 7 
 
 
 
 
 18500 
 
 0-00532 
 
 - i 
 
 1 900 
 
 0-00567 
 
 + 2 
 
 1 950 
 
 0-00641 
 
 - 7 
 
 
 
 
 
 
 
 
 
 
 1O 
 
 53 
 
 - i 
 
 10 
 
 569 
 
 2 
 
 1-O 
 
 635 
 
 6 
 
 20 
 
 53 
 
 + i 
 
 20 
 
 570 
 
 2 
 
 2O 
 
 629 
 
 7 
 
 3-0 
 
 53* 
 
 2 
 
 3O 
 
 '572 
 
 2 
 
 30 
 
 622 
 
 7 
 
 4O 
 
 534 
 
 2 
 
 4O 
 
 574 
 
 3 
 
 40 
 
 615 
 
 7 
 
 5-0 
 
 536 
 
 2 
 
 50 
 
 578 
 
 4 
 
 5O 
 
 608 
 
 7 
 
 18560 
 
 0-00538 
 
 + 2 
 
 19060 
 
 0-00581 
 
 + 3 
 
 1956 
 
 0-00602 
 
 - 7 
 
 7O 
 
 539 
 
 2 
 
 7O 
 
 584 
 
 4 
 
 7'O 
 
 595 
 
 7 
 
 80 
 
 54i 
 
 2 
 
 SO 
 
 588 
 
 4 
 
 SO 
 
 589 
 
 7 
 
 90 
 
 543 
 
 3 
 
 9O 
 
 592 
 
 4 
 
 90 
 
 582 
 
 6 
 
 1 860 
 
 546 
 
 3 
 
 19100 
 
 596 
 
 5 
 
 19600 
 
 577 
 
 6 
 
 1861 
 
 0-00549 
 
 + 3 
 
 1911 
 
 0-00601 
 
 + 5 
 
 1961 O 
 
 0-00570 
 
 - 6 
 
 2O 
 
 55i 
 
 2 
 
 20 
 
 606 
 
 5 
 
 2O 
 
 565 
 
 5 
 
 3-D 
 
 553 
 
 3 
 
 3-D 
 
 610 
 
 5 
 
 3O 
 
 560 
 
 5 
 
 4O 
 
 556 
 
 3 
 
 4O 
 
 616 
 
 7 
 
 4O 
 
 555 
 
 5 
 
 SO 
 
 559 
 
 3 
 
 SO 
 
 623 
 
 6 
 
 50 
 
 55 
 
 5 
 
 18660 
 
 0-00562 
 
 + 3 
 
 19160 
 
 0-00628 
 
 + 6 
 
 1 966 
 
 0-00545 
 
 - 4 
 
 7O 
 
 564 
 
 2 
 
 7'O 
 
 635 
 
 6 
 
 7'O 
 
 54 2 
 
 4 
 
 80 
 
 566 
 
 2 
 
 SO 
 
 640 
 
 5 
 
 SO 
 
 538 
 
 3 
 
 SO 
 
 568 
 
 2 
 
 9O 
 
 645 
 
 5 
 
 9O 
 
 536 
 
 3 
 
 18700 
 
 570 
 
 2 
 
 1920 
 
 650 
 
 5 
 
 1970 
 
 53* 
 
 3 
 
 1871 
 
 0-00572 
 
 + 2 
 
 1921 O 
 
 0-00656 
 
 + 6 
 
 1971 O 
 
 0-00530 
 
 3 
 
 2O 
 
 574 
 
 2 
 
 2O 
 
 662 
 
 6 
 
 2O 
 
 5*7 
 
 2 
 
 SO 
 
 576 
 
 2 
 
 SO 
 
 667 
 
 4 
 
 30 
 
 526 
 
 I 
 
 40 
 
 577 
 
 + 1 
 
 4O 
 
 670 
 
 4 
 
 4O 
 
 526 
 
 I 
 
 50 
 
 577 
 
 
 
 5-0 
 
 675 
 
 5 
 
 SO 
 
 5*4 
 
 I 
 
 18760 
 
 0-00577 
 
 * 
 
 19260 
 
 0-00680 
 
 + 5 
 
 1976 
 
 0-00524 
 
 2 
 
 70 
 
 576 
 
 
 
 7-O 
 
 684 
 
 4 
 
 7-O 
 
 521 
 
 3 
 
 SO 
 
 577 
 
 + I 
 
 s-o 
 
 688 
 
 4 
 
 8-0 
 
 5'9 
 
 I 
 
 9O 
 
 577 
 
 
 
 9-0 
 
 691 
 
 3 
 
 9O 
 
 59 
 
 o 
 
 18800 
 
 577 
 
 - I 
 
 1 930 
 
 694 
 
 3 
 
 1 980 O 
 
 59 
 
 + I 
 
 1881 
 
 0-00576 
 
 
 
 1 931 
 
 0-00697 
 
 + 2 
 
 1 981 
 
 0-00520 
 
 o 
 
 20 
 
 576 
 
 
 2O 
 
 698 
 
 i 
 
 2O 
 
 5'9 
 
 - I 
 
 30 
 
 575 
 
 
 30 
 
 699 
 
 + i 
 
 3O 
 
 518 
 
 
 
 4O 
 
 573 
 
 
 4O 
 
 699 
 
 o 
 
 4O 
 
 5'9 
 
 + 
 
 S-O 
 
 573 
 
 
 5O 
 
 699 
 
 - i 
 
 SO 
 
 520 
 
 + 
 
 18860 
 
 0*00572 
 
 
 
 19360 
 
 0-00698 
 
 i 
 
 1 9860 
 
 0-00520 
 
 - 
 
 7O 
 
 57i 
 
 
 7O 
 
 697 
 
 i 
 
 7O 
 
 5'9 
 
 
 80 
 
 57' 
 
 
 SO 
 
 696 
 
 2 
 
 8-0 
 
 518 
 
 
 9O 
 
 570 
 
 2 
 
 90 
 
 694 
 
 3 
 
 90 
 
 518 
 
 
 18900 
 
 568 
 
 2 
 
 19400 
 
 691 
 
 3 
 
 19900 
 
 5'7 
 
 
 1891 
 
 0-00567 
 
 - I 
 
 1941 O 
 
 0-00688 
 
 - 4 
 
 1991 O 
 
 0-00517 
 
 - I 
 
 20 
 
 566 
 
 I 
 
 20 
 
 684 
 
 5 
 
 2O 
 
 5.6 
 
 I 
 
 so 
 
 565 
 
 - I 
 
 SO 
 
 679 
 
 5 
 
 3-0 
 
 5'5 
 
 I 
 
 40 
 
 564 
 
 O 
 
 4O 
 
 675 
 
 4 
 
 40 
 
 5H 
 
 I 
 
 60 
 
 565 
 
 + I 
 
 SO 
 
 672 
 
 4 
 
 5-0 
 
 5' 
 
 2 
 
 18960 
 
 0-00565 
 
 - I 
 
 1 946 O 
 
 0-00667 
 
 - 6 
 
 19960 
 
 0-00510 
 
 - 3 
 
 7O 
 
 564 
 
 + I 
 
 7O 
 
 660 
 
 7 
 
 7-O 
 
 507 
 
 3 
 
 8O 
 
 566 
 
 I 
 
 s-o 
 
 654 
 
 6 
 
 80 
 
 55 
 
 3 
 
 9-O 
 
 566 
 
 I 
 
 9-O 
 
 648 
 
 7 
 
 90 
 
 502 
 
 4 
 
 1 9000 
 
 0-00567 
 
 + 2 
 
 1 9500 
 
 0-00641 
 
 - 7 
 
 2000 
 
 0-00498 
 
 - 4 
 
 Applied Constant : +o*'oo7oo. 
 
SATELLITE IV 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XXII Equation of Longitude Argument J 
 
 I 
 
 2 
 
 3 
 
 . 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 X 
 
 2 
 
 3 
 
 J 
 
 Equation 
 
 A 
 O d 'OI 
 
 J 
 
 Equation 
 
 A 
 O d 'OI 
 
 J 
 
 Equation 
 
 A 
 O d 'OI 
 
 J 
 
 Equation 
 
 A 
 O d 'OI 
 
 i 
 
 o 
 
 
 d 
 
 o 
 
 
 d 
 
 o 
 
 
 d 
 
 o 
 
 
 000 
 
 0-03300 
 
 - 23,5 
 
 250 
 
 0-00333 
 
 + 7,2 
 
 500 
 
 0^05120 
 
 + '9,1 
 
 7 -SO 
 
 0-05152 
 
 - I9> 
 
 05 
 
 3182 
 
 23,5 
 
 55 
 
 371 
 
 8,0 
 
 05 
 
 5214 
 
 18,5 
 
 55 
 
 5056 
 
 '9,5 
 
 10 
 
 3065 
 
 23,4 
 
 60 
 
 4'3 
 
 8,8 
 
 1O 
 
 5305 
 
 1 8,0 
 
 60 
 
 4957 
 
 '9,9 
 
 15 
 
 2948 
 
 23, 2 
 
 65 
 
 459 
 
 9,6 
 
 15 
 
 5394 
 
 '7,4 
 
 65 
 
 4857 
 
 20,3 
 
 20 
 
 2833 
 
 23,2 
 
 7O 
 
 509 
 
 10,4 
 
 20 
 
 5479 
 
 16,8 
 
 7O 
 
 4754 
 
 20,7 
 
 25 
 
 2716 
 
 23,2 
 
 75 
 
 563 
 
 ",3 
 
 25 
 
 5562 
 
 16,2 
 
 75 
 
 4650 
 
 21,1 
 
 O30 
 
 0-02601 
 
 - 22,8 
 
 2-80 
 
 0-00622 
 
 + 12,1 
 
 5 30 
 
 0-05641 
 
 + '5,4 
 
 780 
 
 0-04543 
 
 -21,6 
 
 35 
 
 24.88 
 
 22,6 
 
 85 
 
 684 
 
 12,8 
 
 35 
 
 5716 
 
 '4,8 
 
 85 
 
 4434 
 
 21,9 
 
 40 
 
 2375 
 
 22,6 
 
 90 
 
 75 
 
 '3,4 
 
 40 
 
 5789 
 
 '4,2 
 
 9O 
 
 4324 
 
 22,1 
 
 45 
 
 2262 
 
 22,2 
 
 95 
 
 818 
 
 '4,' 
 
 45 
 
 5858 
 
 '3,4 
 
 95 
 
 4213 
 
 22,4 
 
 50 
 
 2153 
 
 21,7 
 
 3'OO 
 
 891 
 
 I5,o 
 
 50 
 
 5923 
 
 '2,7 
 
 800 
 
 4100 
 
 22,7 
 
 055 
 
 0-02045 
 
 - 21,4 
 
 3-05 
 
 0-00968 
 
 + '5,6 
 
 5-55 
 
 0-05985 
 
 + 12,0 
 
 805 
 
 0-03986 
 
 ~ 22,9 
 
 60 
 
 1939 
 
 21,1 
 
 1O 
 
 1047 
 
 16,2 
 
 60 
 
 6043 
 
 11,2 
 
 1O 
 
 3871 
 
 23,1 
 
 65 
 
 "834 
 
 20,7 
 
 15 
 
 1 130 
 
 16,9 
 
 65 
 
 6097 
 
 10,4 
 
 15 
 
 3755 
 
 23,3 
 
 70 
 
 1732 
 
 20,3 
 
 2O 
 
 1216 
 
 '7,5 
 
 70 
 
 6147 
 
 9,6 
 
 20 
 
 3638 
 
 23,4 
 
 75 
 
 1631 
 
 '9.9 
 
 25 
 
 1305 
 
 18,0 
 
 75 
 
 6'93 
 
 8,8 
 
 25 
 
 352i 
 
 23,3 
 
 080 
 
 0-01533 
 
 - 19,3 
 
 3'30 
 
 0-01396 
 
 + '8,5 
 
 5 80 
 
 0-06235 
 
 + 7,9 
 
 8-30 
 
 0-03405 
 
 - 23,4 
 
 85 
 
 1438 
 
 1 8,8 
 
 35 
 
 1490 
 
 '9,i 
 
 85 
 
 6272 
 
 7,' 
 
 35 
 
 3287 
 
 *3,5 
 
 9O 
 
 '345 
 
 18,3 
 
 40 
 
 1587 
 
 '9.6 
 
 90 
 
 6306 
 
 6,3 
 
 4O 
 
 3170 
 
 23,5 
 
 95 
 
 J255 
 
 '7,7 
 
 45 
 
 1686 
 
 20,1 
 
 95 
 
 6335 
 
 5,4 
 
 45 
 
 3052 
 
 23,5 
 
 1-OO 
 
 1168 
 
 i7,i 
 
 50 
 
 1788 
 
 20,5 
 
 6-00 
 
 6360 
 
 4,5 
 
 50 
 
 2935 
 
 23,3 
 
 1 O5 
 
 0-01084 
 
 - 16,5 
 
 355 
 
 0-01891 
 
 + 20,9 
 
 605 
 
 0-06380 
 
 + 3,5 
 
 855 
 
 0-02819 
 
 - 23,2 
 
 1O 
 
 1003 
 
 J 5,9 
 
 60 
 
 '997 
 
 21,3 
 
 10 
 
 6395 
 
 2,7 
 
 60 
 
 2703 
 
 23,0 
 
 15 
 
 9 2 5 
 
 '5,3 
 
 65 
 
 2104 
 
 21.7 
 
 15 
 
 6407 
 
 2,0 
 
 65 
 
 2589 
 
 22,8 
 
 2O 
 25 
 
 850 
 
 779 
 
 14,6 
 '3,8 
 
 7O 
 
 75 
 
 2214 
 2325 
 
 22,1 
 
 22,3 
 
 20 
 25 
 
 6415 
 6418 
 
 ',' 
 
 + 0,2 
 
 70 
 75 
 
 2475 
 2362 
 
 22,7 
 22,4 
 
 1 30 
 
 0-00712 
 
 - '3-' 
 
 3'80 
 
 0-02437 
 
 + 22,5 
 
 630 
 
 0-06417 
 
 - o,7 
 
 8-80 
 
 0-02251 
 
 - 22,1 
 
 Q 
 
 35 
 
 648 
 
 '2,3 
 
 85 
 
 2550 
 
 22,8 
 
 35 
 
 6411 
 
 1,6 
 
 85 
 
 2141 
 
 21,8 
 
 40 
 
 589 
 
 11,6 
 
 90 
 
 2665 
 
 23,0 
 
 40 
 
 6401 
 
 2,5 
 
 90 
 
 2033 
 
 21,4 
 
 45 
 50 
 
 532 
 480 
 
 10,9 
 9-9 
 
 95 
 4OO 
 
 2780 
 2897 
 
 23,2 
 23,4 
 
 45 
 50 
 
 6386 
 6367 
 
 3,4 
 
 4,2 
 
 95 
 90O 
 
 1927 
 1823 
 
 21,0 
 
 20,7 
 
 1 55 
 60 
 65 
 70 
 75 
 
 0-00433 
 389 
 
 349 
 3'3 
 281 
 
 - 9,' 
 8,4 
 7,6 
 6,8 
 
 5,9 
 
 4-O5 
 1O 
 15 
 2O 
 25 
 
 0-03014 
 3130 
 3248 
 3366 
 3483 
 
 + 23,3 
 23,4 
 
 23,6 
 
 23,5 
 23,4 
 
 655 
 6O 
 65 
 7O 
 75 
 
 0-06344 
 6316 
 6283 
 
 6247 
 6207 
 
 - 5,' 
 6,1 
 
 6 1 
 7,6 
 
 8,4 
 
 905 
 10 
 15 
 20 
 25 
 
 0^01720 
 1620 
 
 1523 
 
 1428 
 
 '335 
 
 - 20,3 
 '9,7 
 '9,2 
 1 8,8 
 
 '8,3 
 
 1 80 
 85 
 90 
 95 
 2-OO 
 
 0-00254 
 231 
 213 
 200 
 188 
 
 - 5, 
 4,i 
 3,' 
 
 2,5 
 
 ',7 
 
 430 
 35 
 4O 
 45 
 50 
 
 0-03600 
 3716 
 3832 
 
 394 8 
 4062 
 
 + 23,2 
 23,2 
 23,2 
 23, 
 
 22,8 
 
 6 80 
 85 
 90 
 95 
 7'OO 
 
 0-06163 
 6114 
 6061 
 
 6005 
 5944 
 
 - 9,3 
 
 10,2 
 
 10,9 
 i',7 
 i,5 
 
 930 
 35 
 40 
 45 
 50 
 
 0-01245 
 1158 
 1075 
 995 
 9'7 
 
 - '7,7 
 '7,0 
 '6,3 
 '5,8 
 '5,3 
 
 2O5 
 1O 
 15 
 2O 
 25 
 
 0-00183 
 182 
 185 
 
 193 
 
 206 
 
 - 0,6 
 
 + 0,2 
 
 ',o 
 
 2,1 
 2,9 
 
 4-55 
 6O 
 65 
 70 
 
 75 
 
 0-04176 
 4287 
 4398 
 457 
 4615 
 
 + 22,5 
 22,2 
 22,0 
 21,7 
 *',3 
 
 7 05 
 1O 
 15 
 20 
 25 
 
 0-05880 
 5812 
 5742 
 5667 
 5588 
 
 - 13,2 
 
 3,8 
 '4,5 
 '5,4 
 1 6,0 
 
 955 
 60 
 65 
 7O 
 75 
 
 0-00842 
 
 77' 
 704 
 641 
 581 
 
 - '4,6 
 
 13,8 
 
 '3,o 
 12,3 
 ",5 
 
 23O 
 35 
 4O 
 45 
 2-50 
 
 O-OO222 
 243 
 269 
 
 299 
 O-OO333 
 
 + 3,7 
 4,7 
 5,6 
 6,4 
 
 + 7,2 
 
 4 SO 
 85 
 90 
 95 
 
 500 
 
 0*04720 
 4824 
 
 49 2 5 
 5023 
 0-05120 
 
 + 20,9 
 20,5 
 '9,9 
 '9,5 
 + '9,' 
 
 730 
 35 
 40 
 45 
 750 
 
 0-05507 
 5423 
 5336 
 5246 
 0-05152 
 
 MV ^-^ ^ 
 
 - '6,5 
 '7,' 
 '7,7 
 '8,4 
 - 19, 
 
 MB^ ^^-^ 
 
 9 SO 
 85 
 9O 
 95 
 1O-00 
 
 0-00526 
 474 
 427 
 384 
 0-00345 
 
 - 10,7 
 9,9 
 9, 
 8,2 
 
 - 7,5 
 
 
 
 Applied Constant : +o"'o33oo. 
 
SATELLITE IV 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XXII continued Equation of Longitude Argument J 
 
 I 
 
 2 
 
 3 
 
 I 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 I 
 
 2 
 
 3 
 
 J 
 
 Equation 
 
 A 
 Qd'OI 
 
 J 
 
 Equation 
 
 A 
 O d 'OI 
 
 J 
 
 Equation 
 
 A 
 Od-oi 
 
 J 
 
 Equation 
 
 A 
 
 o d *oi 
 
 1 
 
 o 
 
 
 d 
 
 o 
 
 
 d 
 
 o 
 
 
 d 
 
 o 
 
 
 1000 
 
 0-00345 
 
 - 7,5 
 
 1250 
 
 o'O326i 
 
 + 23,6 
 
 1500 
 
 0-06280 
 
 - 7, 
 
 17 SO 
 
 0*0151 1 
 
 - '9-1 
 
 05 
 
 309 
 
 6,7 
 
 55 
 
 3379 
 
 23,5 
 
 05 
 
 6243 
 
 7,7 
 
 55 
 
 1417 
 
 18,6 
 
 1O 
 
 278 
 
 5,8 
 
 60 
 
 349 6 23,5 
 
 1O 
 
 6203 8,5 
 
 60 
 
 '325 
 
 18,2 
 
 15 
 
 251 
 
 4,9 
 
 65 
 
 3614 23,4 
 
 15 
 
 6158 9,4 
 
 65 
 
 1235 
 
 '7,5 
 
 20 
 
 229 
 
 4, 
 
 7O 
 
 373 23,2 
 
 20 
 
 6109 
 
 10,2 
 
 7O 
 
 1150 
 
 16,7 
 
 25 
 
 211 
 
 3,3 
 
 75 
 
 3846 23,0 
 
 25 
 
 6056 
 
 11,1 
 
 75 
 
 1068 
 
 16,3 
 
 1030 
 
 0-OOI96 
 
 - 2 >4 
 
 12 SO 
 
 0-03960 + 22,8 
 
 153O 0-05998 
 
 - 11,8 
 
 17*8O 
 
 0*00987 
 
 - '5,9 
 
 35 
 
 187 
 
 ',4 
 
 85 
 
 474 22,8 
 
 35 
 
 5938 
 
 '2,5 
 
 85 
 
 909 
 
 i5,3 
 
 40 
 
 182 
 
 - o,5 
 
 90 
 
 4188 22,6 
 
 40 
 
 5873 
 
 '3,2 
 
 90 
 
 834 
 
 14,6 
 
 45 
 
 182 
 
 + 0,4 
 
 95 
 
 4300 
 
 22,2 
 
 45 
 
 5806 
 
 '3,9 
 
 95 
 
 763 
 
 13,6 
 
 so 
 
 1 86 
 
 i,3 
 
 13-00 
 
 4410 21,9 
 
 5O 
 
 5734 
 
 '4,7 
 
 1800 
 
 698 
 
 12,8 
 
 10-55 
 
 0-00195 
 
 + 2,1 
 
 1305 
 
 0-04519 
 
 + 21,6 
 
 15-55 
 
 0-05659 
 
 - '5,4 
 
 1805 
 
 0*00635 
 
 - '2,1 
 
 6O 
 
 207 
 
 2 ,9 
 
 1O 
 
 4626 
 
 21,2 
 
 BO 
 
 5580 
 
 16,1 
 
 1O 
 
 577 
 
 ii,5 
 
 65 
 
 224 
 
 4, 
 
 15 
 
 4731 
 
 20,8 
 
 65 
 
 549 s 
 
 16,6 
 
 15 
 
 520 
 
 10,9 
 
 7O 
 
 247 
 
 4,9 
 
 20 
 
 4834 
 
 20,5 
 
 70 , 5414 
 
 '7,' 
 
 20 
 
 468 
 
 9,9 
 
 75 
 
 273 
 
 5,7 
 
 25 
 
 4936 
 
 20,0 
 
 75 
 
 5327 
 
 '7,9 
 
 25 
 
 421 
 
 8,9 
 
 1080 
 
 0-00304 
 
 + 6,5 
 
 13-30 
 
 0-05034 
 
 + '9,5 
 
 15-80 
 
 0-05235 
 
 - 18,5 
 
 1830 
 
 0*00379 
 
 - 8,0 
 
 85 
 
 338 
 
 7,i 
 
 35 
 
 5131 
 
 19,0 
 
 85 
 
 5142 
 
 18,9 
 
 35 
 
 34' 
 
 7,3 
 
 90 
 
 375 
 
 8,0 
 
 40 
 
 5224 
 
 18,4 
 
 9O 5046 
 
 '9,4 
 
 40 
 
 306 
 
 6,5 
 
 95 
 
 418 
 
 8,9 
 
 45 
 
 53'5 
 
 18,0 
 
 95 4948 
 
 20,0 
 
 45 
 
 276 
 
 5,8 
 
 11 00 
 
 464 
 
 9,6 
 
 50 
 
 5404 
 
 7,4 
 
 1600 
 
 4846 
 
 20,4 
 
 50 
 
 248 
 
 5,o 
 
 11-O5 
 
 00514 
 
 + 10,5 
 
 13-55 
 
 0-05489 
 
 + 1 6,7 
 
 16O5 
 
 0-04744 
 
 - 20,7 
 
 18-55 
 
 0*00226 
 
 - 4,' 
 
 1O 
 
 569 
 
 ", 3 
 
 60 
 
 557i 
 
 1 6,0 
 
 1O 
 
 4639 
 
 21,2 
 
 60 
 
 209 
 
 3,o 
 
 15 
 
 627 
 
 12,2 
 
 65 
 
 5649 
 
 '5,3 
 
 15 > 4532 
 
 21,7 
 
 65 
 
 196 
 
 2,2 
 
 20 
 
 691 
 
 12,9 
 
 7O 
 
 5724 
 
 '4,7 
 
 20 
 
 4422 
 
 22,0 
 
 7O 
 
 187 
 
 ',4 
 
 25 
 
 756 
 
 '3,4 
 
 75 
 
 5796 
 
 14,0 
 
 25 
 
 4312 
 
 22,2 
 
 75 
 
 182 
 
 - 0,5 
 
 11-30 
 
 o '0082 5 
 
 + 14,3 
 
 1380 
 
 0*05864 
 
 + 13,4 
 
 1630 
 
 0-04200 
 
 - 22,5 
 
 18 SO 
 
 0*00182 
 
 + ,4 
 
 35 
 
 899 
 
 '5,' 
 
 85 
 
 5930 
 
 12,7 
 
 35 
 
 4087 
 
 22,7 
 
 85 
 
 1 86 
 
 ',3 
 
 40 
 
 976 
 
 15,6 
 
 9O 
 
 599 i 
 
 "-9 
 
 40 
 
 3973 
 
 22,8 
 
 9O 
 
 '95 
 
 2,3 
 
 45 
 
 1055 
 
 16,3 
 
 95 
 
 6049 
 
 ii, i 
 
 45 
 
 3859 
 
 23,0 
 
 95 
 
 209 
 
 3,' 
 
 50 
 
 1139 
 
 17,0 
 
 14-00 
 
 6102 
 
 10,3 
 
 *5O 
 
 3743 
 
 23,4 
 
 1900 
 
 226 
 
 4,o 
 
 11-55 
 
 0*01225 
 
 + 17,6 
 
 1405 
 
 0-06152 
 
 + 9,5 
 
 16-55 
 
 0*03625 
 
 -23,5 
 
 19 05 
 
 0*00249 
 
 + 4,9 
 
 60 
 
 1315 
 
 18,1 
 
 1O 
 
 6197 
 
 8,7 
 
 6O 
 
 3508 
 
 23,4 
 
 10 
 
 275 
 
 5,7 
 
 65 
 
 1406 
 
 '8,5 
 
 15 
 
 6239 
 
 7,9 
 
 65 
 
 339' 
 
 23,5 
 
 15 
 
 306 
 
 6,4 
 
 70 
 
 1500 
 
 '9,' 
 
 20 
 
 6276 
 
 7,o 
 
 7O 
 
 3273 
 
 2 3 ,6 
 
 20 
 
 339 
 
 7,3 
 
 75 
 
 1597 
 
 19,7 
 
 25 
 
 6309 
 
 6,2 
 
 75 
 
 3'55 
 
 23,4 
 
 25 
 
 379 
 
 8,4 
 
 11 80 
 
 0-01697 
 
 + 20,2 
 
 1430 
 
 0-06338 
 
 + 5.3 
 
 16 80 
 
 0*03039 
 
 - 23,3 
 
 1930 
 
 0-00423 
 
 + 9,o 
 
 85 
 
 1799 
 
 2O,6 
 
 35 
 
 6362 
 
 4,4 
 
 85 
 
 2922 
 
 23>3 
 
 35 
 
 469 
 
 9,6 
 
 90 
 
 1903 
 
 20,9 
 
 40 
 
 6382 
 
 3,5 
 
 9O 
 
 2806 
 
 23,1 
 
 4O 
 
 5'9 
 
 ',5 
 
 95 
 
 2008 
 
 21,3 
 
 45 
 
 6397 
 
 2,6 
 
 95 
 
 2691 
 
 22,9 
 
 45 
 
 574 
 
 n,5 
 
 12-OO 
 
 21 l6 
 
 21,8 
 
 50 
 
 6408 
 
 ',9 
 
 1700 
 
 2577 
 
 22,8 
 
 50 
 
 634 
 
 12,4 
 
 1205 
 
 0-02226 
 
 + 22,2 
 
 14-55 
 
 0-06416 
 
 + 1,0 
 
 17O5 
 
 0-02463 
 
 - 22,7 
 
 19-55 
 
 0-00698 
 
 + '3,o 
 
 1O 
 
 2338 
 
 22,4 
 
 60 
 
 6418 
 
 + 0,1 
 
 1O 
 
 235 
 
 22,5 
 
 60 
 
 764 
 
 '3,7 
 
 15 
 
 2450 
 
 22,5 
 
 65 
 
 6417 
 
 - 0,8 
 
 15 
 
 2238 
 
 22,1 
 
 65 
 
 833 
 
 H,3 
 
 20 
 
 2563 
 
 22,7 
 
 7O 
 
 6410 
 
 i,7 
 
 20 
 
 2129 
 
 2',7 
 
 70 
 
 907 
 
 15,2 
 
 25 
 
 2677 
 
 22,9 
 
 75 
 
 6400 
 
 2,6 
 
 25 
 
 2021 
 
 2',3 
 
 75 
 
 985 
 
 '5,8 
 
 12-30 
 
 0-02792 
 
 + 23,2 
 
 1480 
 
 0-06384 
 
 - 3,5 
 
 17-30 
 
 O'OI9l6 
 
 - 21,0 
 
 19 SO 
 
 0*01065 
 
 + '6,4 
 
 35 
 
 2909 
 
 23,4 
 
 85 
 
 6365 
 
 4,4 
 
 35 
 
 1811 
 
 20,7 
 
 85 
 
 1149 
 
 '7,o 
 
 40 
 
 3026 
 
 23,4 
 
 9O 
 
 6340 
 
 5,2 
 
 4O 
 
 1709 
 
 20,3 
 
 90 
 
 '235 
 
 '7,5 
 
 45 
 
 3'43 
 
 23,5 
 
 95 
 
 6313 
 
 6,0 
 
 45 
 
 1608 
 
 19,8 
 
 95 
 
 1324 
 
 I 8,2 
 
 12 'SO 
 
 0-03261 
 
 + 23,6 
 
 1500 
 
 0-06280 
 
 - 7,o 
 
 1750 
 
 0*01511 
 
 - 19-' 
 
 2O-OO 
 
 0-01417 
 
 + 18,8 
 
 Applied Constant : t /' ) ti * 
 *54 
 
SATELLITE IV 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 Equations of Longitude 
 XXIV 
 
 XXIII 
 
 XXV 
 
 I 
 
 2 
 
 3 
 
 I 
 
 2 
 
 3 
 
 K 
 
 Equa- 
 tion 
 
 A 
 
 K 
 
 Equa- 
 tion 
 
 A 
 
 d 
 
 
 
 
 d 
 
 o 
 
 
 0-0 
 
 0-00700 
 
 -48 
 
 50 
 
 0-01074 
 
 + 39 
 
 1 
 
 652 
 
 48 
 
 1 
 
 1 112 
 
 37 
 
 2 
 
 603 
 
 48 
 
 2 
 
 1148 
 
 35 
 
 3 
 
 556 
 
 47 
 
 3 
 
 1181 
 
 3* 
 
 4 
 
 509 
 
 46 
 
 4 
 
 1212 
 
 29 
 
 5 
 
 464 
 
 45 
 
 5 
 
 1239 
 
 26 
 
 06 
 
 0-00420 
 
 - 44 
 
 56 
 
 O'OI264 
 
 + 2 4 
 
 7 
 
 377 
 
 4* 
 
 7 
 
 1286 
 
 20 
 
 8 
 
 33 6 
 
 4 
 
 8 
 
 1304 
 
 16 
 
 9 
 
 298 
 
 37 
 
 9 
 
 1318 
 
 '3 
 
 10 
 
 262 
 
 35 
 
 6-0 
 
 "3 2 9 
 
 9 
 
 1-1 
 
 O'OO228 
 
 - 33 
 
 61 
 
 0-01336 
 
 + 6 
 
 2 
 
 196 
 
 30 
 
 2 
 
 '34 
 
 + 3 
 
 3 
 
 168 
 
 27 
 
 3 
 
 134' 
 
 - i 
 
 4 
 
 142 
 
 2 4 
 
 4 
 
 1338 
 
 5 
 
 5 
 
 1 20 
 
 21 
 
 5 
 
 '33" 
 
 9 
 
 16 
 
 O'OOIOI 
 
 - 17 
 
 66 
 
 0-01320 
 
 - "3 
 
 7 
 
 86 
 
 H 
 
 7 
 
 1306 
 
 16 
 
 8 
 
 74 
 
 I I 
 
 8 
 
 1288 
 
 '9 
 
 9 
 
 65 
 
 7 
 
 9 
 
 1268 
 
 22 
 
 20 
 
 60 
 
 - 3 
 
 70 
 
 1244 
 
 26 
 
 2-1 
 
 0-00059 
 
 + i 
 
 71 
 
 0-01217 
 
 - 2 9 
 
 2 
 
 62 
 
 5 
 
 2 
 
 1186 
 
 3 2 
 
 3 
 
 68 
 
 8 
 
 3 
 
 i>53 
 
 34 
 
 4 
 
 77 
 
 1 1 
 
 4 
 
 1118 
 
 36 
 
 5 
 
 90 
 
 '5 
 
 5 
 
 1081 
 
 39 
 
 26 
 
 0-00106 
 
 + 18 
 
 76 
 
 0-01041 
 
 - 4 1 
 
 7 
 
 126 
 
 22 
 
 7 
 
 999 
 
 43 
 
 8 
 
 149 
 
 25 
 
 8 
 
 956 
 
 44 
 
 9 
 
 '75 
 
 28 
 
 9 
 
 911 
 
 46 
 
 30 
 
 205 
 
 3' 
 
 80 
 
 864 
 
 47 
 
 31 
 
 0-00237 
 
 + 33 
 
 81 
 
 0-00817 
 
 - 47 
 
 2 
 
 271 
 
 36 
 
 2 
 
 77 
 
 48 
 
 3 
 
 308 
 
 39 
 
 3 
 
 722 
 
 49 
 
 4 
 
 348 
 
 4' 
 
 4 
 
 673 
 
 49 
 
 5 
 
 389 
 
 4 2 
 
 5 
 
 625 
 
 48 
 
 36 
 
 0-00432 
 
 + 44 
 
 8-6 
 
 0-00577 
 
 - 48 
 
 7 
 
 476 
 
 45 
 
 7 
 
 530 
 
 47 
 
 8 
 
 522 
 
 47 
 
 8 
 
 484 
 
 46 
 
 9 
 
 569 
 
 48 
 
 9 
 
 439 
 
 44 
 
 4*O 
 
 617 
 
 48 
 
 90 
 
 39 6 
 
 43 
 
 4-1 
 
 0-00665 
 
 + 48 
 
 91 
 
 0-00355 
 
 - 4' 
 
 2 
 
 713 
 
 49 
 
 2 
 
 3'5 
 
 39 
 
 3 
 
 762 
 
 49 
 
 3 
 
 277 
 
 37 
 
 4 
 
 810 
 
 48 
 
 4 
 
 242 
 
 34 
 
 5 
 
 857 
 
 47 
 
 5 
 
 ZIO 
 
 3' 
 
 46 
 
 0-00903 
 
 + 46 
 
 96 
 
 0-00180 
 
 " 2 2 
 
 7 
 
 948 
 
 45 
 
 7 
 
 '53 
 
 26 
 
 8 
 
 992 
 
 43 
 
 8 
 
 129 
 
 22 
 
 9 
 
 1034 
 
 4i 
 
 9 
 
 109 
 
 '9 
 
 50 
 
 0-01074 
 
 + 39 
 
 10-0 
 
 0*00092 
 
 - '5 
 
 I 
 
 2 
 
 3 
 
 1 
 
 L 
 
 Equa- 
 tion 
 
 A 
 0"*I 
 
 d 
 
 o 
 
 
 00 
 
 o-ooioo 
 
 + 5 
 
 2 
 
 110 
 
 5 
 
 4 
 
 12O 
 
 5 
 
 6 
 
 130 
 
 5 
 
 8 
 
 139 
 
 4 
 
 10 
 
 '47 
 
 4 
 
 1-2 
 
 0-00154 
 
 + 3 
 
 4 
 
 1 60 
 
 3 
 
 6 
 
 164 
 
 2 
 
 8 
 
 167 
 
 + 1 
 
 20 
 
 1 68 
 
 O 
 
 22 
 
 0-00168 
 
 _ , 
 
 4 
 
 166 
 
 1 
 
 6 
 
 163 
 
 2 
 
 8 
 
 '59 
 
 3 
 
 3'0 
 
 '53 
 
 3 
 
 32 
 
 0-00146 
 
 - 4 
 
 4 
 
 138 
 
 5 
 
 6 
 
 128 
 
 5 
 
 8 
 
 119 
 
 5 
 
 4'O 
 
 109 
 
 5 
 
 4'2 
 
 0-00098 
 
 - 5 
 
 4 
 
 88 
 
 5 
 
 6 
 
 78 
 
 r 
 
 8 
 
 69 
 
 1 
 
 50 
 
 60 
 
 1 
 
 52 
 
 0-00052 
 
 - 4 
 
 4 
 
 45 
 
 . 
 
 6 
 
 39 
 
 '. 
 
 8 
 
 35 
 
 2 
 
 60 
 
 33 
 
 - I 
 
 62 
 
 0-00032 
 
 O 
 
 4 
 
 3* 
 
 + I 
 
 6 
 
 34 
 
 1 
 
 8 
 
 37 
 
 2 
 
 70 
 
 4 2 
 
 3 
 
 72 
 
 0-00048 
 
 + 3 
 
 4 
 
 55 
 
 t 
 
 6 
 
 64 
 
 
 8 
 
 73 
 
 
 80 
 
 83 
 
 
 82 
 
 0-00093 
 
 + 
 
 4 
 
 103 
 
 
 6 
 
 "3 
 
 
 8 
 
 ' 2 3 
 
 
 90 
 
 133 
 
 
 92 
 
 0*00141 
 
 + 4 
 
 4 
 
 H9 
 
 . 
 
 6 
 
 156 
 
 ; 
 
 8 
 
 1*1 
 
 2 
 
 100 
 
 0*00165 
 
 + 2 
 
 i 
 
 2 
 
 3 
 
 1 
 
 i 
 
 3 
 
 M 
 
 Equa- 
 tion 
 
 A 
 
 o-i -x 
 
 M 
 
 Equa- 
 tion 
 
 A 
 
 Od-i 
 
 d 
 
 o 
 
 
 d 
 
 o 
 
 
 00 
 
 0-00050 
 
 - 3 
 
 100 
 
 0-OOO22 
 
 - I 
 
 2 
 
 45 
 
 2 
 
 2 
 
 2O 
 
 - I 
 
 4 
 
 4' 
 
 2 
 
 4 
 
 20 
 
 
 
 6 
 
 37 
 
 2 
 
 6 
 
 2O 
 
 
 
 8 
 
 33 
 
 2 
 
 8 
 
 21 
 
 + 1 
 
 10 
 
 2 9 
 
 2 
 
 110 
 
 2 3 
 
 I 
 
 12 
 
 0-00026 
 
 - I 
 
 11-2 
 
 0-00025 
 
 + I 
 
 4 
 
 2 4 
 
 I 
 
 4 
 
 28 
 
 2 
 
 6 
 
 22 
 
 I 
 
 6 
 
 3' 
 
 2 
 
 8 
 
 21 
 
 - 1 
 
 8 
 
 35 
 
 2 
 
 2-0 
 
 20 
 
 O 
 
 120 
 
 39 
 
 2 
 
 22 
 
 O-OO020 
 
 O 
 
 12-2 
 
 0-00043 
 
 + 2 
 
 4 
 
 21 
 
 + 1 
 
 4 
 
 47 
 
 2 
 
 6 
 
 22 
 
 1 
 
 e 
 
 5' 
 
 2 
 
 8 
 
 *4 
 
 I 
 
 8 
 
 56 
 
 3 
 
 30 
 
 2 7 
 
 2 
 
 130 
 
 61 
 
 2 
 
 32 
 
 0-00030 
 
 + * 
 
 132 
 
 0-00065 
 
 + 2 
 
 4 
 
 33 
 
 2 
 
 4 
 
 69 
 
 2 
 
 6 
 
 37 
 
 2 
 
 6 
 
 7 2 
 
 2 
 
 8 
 
 4 2 
 
 2 
 
 8 
 
 75 
 
 I 
 
 40 
 
 46 
 
 2 
 
 14-0 
 
 77 
 
 I 
 
 42 
 
 0-00051 
 
 + 2 
 
 142 
 
 0-00079 
 
 + I 
 
 4 
 
 55 
 
 2 
 
 4 
 
 80 
 
 
 
 6 
 
 60 
 
 2 
 
 6 
 
 So 
 
 O 
 
 8 
 
 64 
 
 2 
 
 8 
 
 80 
 
 O 
 
 5-0 
 
 68 
 
 2 
 
 150 
 
 79 
 
 - I 
 
 52 
 
 0-00071 
 
 + 2 
 
 152 
 
 0-00077 
 
 - I 
 
 4 
 
 74 
 
 I 
 
 4 
 
 75 
 
 I 
 
 6 
 
 76 
 
 I 
 
 6 
 
 7 2 
 
 2 
 
 8 
 
 78 
 
 I 
 
 8 
 
 69 
 
 2 
 
 60 
 
 79 
 
 + 1 
 
 160 
 
 65 
 
 2 
 
 62 
 
 0-00080 
 
 O 
 
 162 
 
 0-00061 
 
 - 2 
 
 4 
 
 80 
 
 O 
 
 4 
 
 56 
 
 2 
 
 6 
 
 79 
 
 - 1 
 
 6 
 
 5 2 
 
 2 
 
 8 
 
 77 
 
 I 
 
 8 
 
 47 
 
 2 
 
 7-0 
 
 75 
 
 I 
 
 170 
 
 43 
 
 2 
 
 72 
 
 0-00073 
 
 - I 
 
 172 
 
 0-00039 
 
 - 2 
 
 4 
 
 70 
 
 2 
 
 4 
 
 35 
 
 2 
 
 6 
 
 66 
 
 ; 
 
 6 
 
 3i 
 
 2 
 
 8 
 
 62 
 
 ; 
 
 8 
 
 28 
 
 2 
 
 80 
 
 58 
 
 2 
 
 180 
 
 2 5 
 
 I 
 
 82 
 
 0-00053 
 
 ; 
 
 182 
 
 0-00023 
 
 - I 
 
 4 
 
 49 
 
 2 
 
 4 
 
 21 
 
 - I 
 
 8 
 
 44 
 
 2 
 
 6 
 
 2O 
 
 
 
 8 
 
 40 
 
 2 
 
 8 
 
 2O 
 
 O 
 
 90 
 
 36 
 
 2 
 
 190 
 
 2O 
 
 O 
 
 92 
 
 0-00032 
 
 - 2 
 
 19-2 
 
 o-oooz i 
 
 + 1 
 
 4 
 
 29 
 
 2 
 
 4 
 
 23 
 
 I 
 
 6 
 
 26 
 
 
 6 
 
 26 
 
 2 
 
 8 
 
 *4 
 
 
 8 
 
 *9 
 
 2 
 
 100 
 
 0*00022 i I 
 
 200 
 
 0-00032 
 
 4 
 
 Applied Constant : +o"-oo7oo. 
 
 Constant: +o' ooioo. 
 
 Applied Constant : 
 
SATELLITE IV 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XXVI Equation of Variation of the Radius Vector, Doubled. Argument E 
 
 I 
 
 2 
 
 3 
 
 
 
 2 
 
 3 
 
 1 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 E 
 
 Equation 
 
 A 
 
 E 
 
 Equation 
 
 A 
 
 E 
 
 Equation 
 
 A 
 
 E 
 
 Equation 
 
 A 
 
 d 
 00 
 
 0-01580 
 
 + 
 
 d 
 50 
 
 + 0-00355 
 
 + 53 
 
 d 
 100 
 
 + 0-01096 
 
 - 3 2 
 
 d 
 
 ISO 
 
 - 0-01287 
 
 - 34 
 
 1 
 
 '579 
 
 2 
 
 1 
 
 407 
 
 52 
 
 1 
 
 1063 
 
 34 
 
 1 
 
 1320 
 
 32 
 
 2 
 
 1576 
 
 5 
 
 2 
 
 459 
 
 5' 
 
 2 
 
 1029 
 
 35 
 
 2 
 
 135' 
 
 30 
 
 3 
 
 1570 
 
 7 
 
 3 
 
 509 
 
 5 
 
 3 
 
 993 
 
 37 
 
 3 
 
 1380 
 
 28 
 
 4 
 
 1563 
 
 8 
 
 4 
 
 559 
 
 5 
 
 4 
 
 956 
 
 39 
 
 4 
 
 1407 
 
 26 
 
 5 
 
 '554 
 
 1 1 
 
 5 
 
 608 
 
 49 
 
 5 
 
 917 
 
 40 
 
 5 
 
 H32 
 
 24 
 
 0-6 
 
 - 0-01542 
 
 + 3 
 
 56 
 
 + 0-00657 
 
 + 48 
 
 106 
 
 + 0-00876 
 
 - 4' 
 
 15-6 
 
 - -oi455 
 
 - 23 
 
 7 
 
 1528 
 
 15 
 
 7 
 
 704 
 
 47 
 
 7 
 
 835 
 
 43 
 
 7 
 
 H77 
 
 21 
 
 8 
 
 1512 
 
 7 
 
 8 
 
 750 
 
 45 
 
 8 
 
 791 
 
 45 
 
 8 
 
 H97 
 
 '9 
 
 9 
 
 J495 
 
 18 
 
 9 
 
 794 
 
 44 
 
 9 
 
 746 
 
 45 
 
 9 
 
 1514 
 
 16 
 
 10 
 
 1476 
 
 21 
 
 60 
 
 837 
 
 43 
 
 110 
 
 701 
 
 46 
 
 16 O 
 
 1529 
 
 H 
 
 1-1 
 
 - 0-01454 
 
 + 2J 
 
 61 
 
 + 0-00879 
 
 + 4' 
 
 111 
 
 + 0-00654 
 
 -48 
 
 16'1 
 
 - 0-01542 
 
 - '3 
 
 2 
 
 1430 
 
 24 
 
 2 
 
 919 
 
 4 
 
 2 
 
 605 
 
 49 
 
 2 
 
 1554 
 
 
 3 
 
 1405 
 
 27 
 
 3 
 
 958 
 
 38 
 
 3 
 
 556 
 
 5 
 
 3 
 
 1564 
 
 9 
 
 4 
 
 1377 
 
 29 
 
 4 
 
 995 
 
 37 
 
 4 
 
 506 
 
 5i 
 
 4 
 
 1571 
 
 6 
 
 5 
 
 1348 
 
 30 
 
 5 
 
 1031 
 
 36 
 
 5 
 
 455 
 
 5' 
 
 5 
 
 1576 
 
 4 
 
 16 
 
 - 0-01317 
 
 + 3* 
 
 66 
 
 + 0-01066 
 
 + 34 
 
 11-6 
 
 + 0-00404 
 
 - S 2 
 
 16-6 
 
 - 0-01579 
 
 - 2 
 
 7 
 
 1284 
 
 34 
 
 7 
 
 1098 
 
 32 
 
 7 
 
 35' 
 
 53 
 
 7 
 
 1580 
 
 O 
 
 8 
 
 1250 
 
 35 
 
 8 
 
 1 129 
 
 3 
 
 8 
 
 298 
 
 53 
 
 8 
 
 '579 
 
 + 2 
 
 9 
 
 1214 
 
 37 
 
 9 
 
 "59 
 
 29 
 
 9 
 
 245 
 
 53 
 
 9 
 
 1576 
 
 4 
 
 20 
 
 1176 
 
 39 
 
 7O 
 
 1187 
 
 27 
 
 120 
 
 192 
 
 54 
 
 17 O 
 
 1571 
 
 6 
 
 2-1 
 
 - 0-01137 
 
 + 40 
 
 7-1 
 
 + 0-01213 
 
 + 25 
 
 121 
 
 + 0-00137 
 
 - 55 
 
 171 
 
 - 0-01564 
 
 + 9 
 
 2 
 
 1097 
 
 4 1 
 
 2 
 
 1237 
 
 23 
 
 2 
 
 82 
 
 55 
 
 2 
 
 1554 
 
 12 
 
 8 
 
 1055 
 
 43 
 
 3 
 
 1259 
 
 22 
 
 3 
 
 + 27 
 
 56 
 
 3 
 
 1541 
 
 14 
 
 4 
 
 IOIS 
 
 44 
 
 4 
 
 1280 
 
 19 
 
 4 
 
 29 
 
 56 
 
 4 
 
 1526 
 
 16 
 
 5 
 
 968 
 
 45 
 
 5 
 
 1297 
 
 17 
 
 5 
 
 85 
 
 56 
 
 5 
 
 1510 
 
 17 
 
 26 
 
 0-00922 
 
 + 47 
 
 76 
 
 + 0-01313 
 
 + 16 
 
 126 
 
 - 0-00141 
 
 - 56 
 
 176 
 
 - 0-01492 
 
 + '9 
 
 7 
 
 875 
 
 48 
 
 7 
 
 1328 
 
 H 
 
 7 
 
 196 
 
 55 
 
 7 
 
 1472 
 
 21 
 
 8 
 
 826 
 
 49 
 
 8 
 
 '34 
 
 1 1 
 
 8 
 
 251 
 
 55 
 
 8 
 
 1450 
 
 23 
 
 9 
 
 777 
 
 5 
 
 9 
 
 135 
 
 9 
 
 9 
 
 306 
 
 55 
 
 9 
 
 1426 
 
 25 
 
 30 
 
 7*7 
 
 5i 
 
 SO 
 
 1357 
 
 7 
 
 130 
 
 361 
 
 55 
 
 180 
 
 1401 
 
 26 
 
 3-1 
 
 - 0-00676 
 
 + 52 
 
 81 
 
 + 0-01363 
 
 + 5 
 
 131 
 
 - 0-00416 
 
 - 55 
 
 18-1 
 
 - 0-01374 
 
 + 28 
 
 2 
 
 624 
 
 52 
 
 2 
 
 1367 
 
 3 
 
 2 
 
 470 
 
 54 
 
 2 
 
 '345 
 
 3 
 
 3 
 
 572 
 
 53 
 
 3 
 
 1369 
 
 + i 
 
 3 
 
 523 
 
 S3 
 
 3 
 
 i3H 
 
 32 
 
 4 
 
 5i9 
 
 54 
 
 4 
 
 1370 
 
 - i 
 
 4 
 
 576 
 
 53 
 
 4 
 
 1282 
 
 34 
 
 5 
 
 465 
 
 54 
 
 5 
 
 1368 
 
 3 
 
 5 
 
 628 
 
 S 2 
 
 5 
 
 1247 
 
 36 
 
 3'6 
 
 - 0-00411 
 
 + 54 
 
 86 
 
 + 0-01364 
 
 - 5 
 
 136 
 
 - 0-00680 
 
 - 5< 
 
 186 
 
 - 0-OI2I I 
 
 + 37 
 
 7 
 
 357 
 
 55 
 
 7 
 
 1358 
 
 7 
 
 7 
 
 730 
 
 5 
 
 7 
 
 "74 
 
 38 
 
 8 
 
 302 
 
 55 
 
 8 
 
 135 
 
 9 
 
 8 
 
 780 
 
 5 
 
 8 
 
 "35 
 
 40 
 
 9 
 
 247 
 
 55 
 
 9 
 
 1340 
 
 12 
 
 9 
 
 830 
 
 49 
 
 9 
 
 1094 
 
 42 
 
 40 
 
 192 
 
 56 
 
 90 
 
 1327 
 
 H 
 
 14 O 
 
 878 
 
 48 
 
 190 
 
 1051 
 
 43 
 
 4-1 
 
 - 0-00136 
 
 + 56 
 
 91 
 
 + 0-01312 
 
 - 16 
 
 14-1 
 
 - 0-00925 
 
 -46 
 
 19-1 
 
 - 0-01008 
 
 + 44 
 
 2 
 
 80 
 
 56 
 
 2 
 
 1295 
 
 it 
 
 2 
 
 970 
 
 45 
 
 2 
 
 9 6 3 
 
 45 
 
 3 
 
 25 
 
 55 
 
 3 
 
 1276 
 
 '9 
 
 3 
 
 1015 
 
 44 
 
 3 
 
 918 
 
 46 
 
 4 
 
 + 30 
 
 55 
 
 4 
 
 1256 
 
 21 
 
 4 
 
 1058 
 
 42 
 
 4 
 
 871 
 
 48 
 
 5 
 
 85 
 
 55 
 
 5 
 
 1234 
 
 23 
 
 5 
 
 1099 
 
 4i 
 
 5 
 
 822 
 
 5 
 
 46 
 
 + 0-00140 
 
 + 55 
 
 9-6 
 
 + O-OI2IO 
 
 - 25 
 
 14-6 
 
 - 0-01140 
 
 - 40 
 
 196 
 
 - 0-00772 
 
 + 5 
 
 7 
 
 '95 
 
 54 
 
 7 
 
 1184 
 
 27 
 
 7 
 
 1179 
 
 39 
 
 7 
 
 722 
 
 5i 
 
 8 
 
 248 
 
 54 
 
 8 
 
 1 156 
 
 2 9 
 
 8 
 
 1217 
 
 37 
 
 8 
 
 671 
 
 S 2 
 
 9 
 
 302 
 
 54 
 
 9 
 
 1127 
 
 30 
 
 9 
 
 1253 
 
 35 
 
 9 
 
 619 
 
 52 
 
 50 
 
 + 0-00355 
 
 + 53 
 
 100 
 
 + 0-01096 
 
 - 32 
 
 150 
 
 - 0-01287 
 
 - 34 
 
 20 O 
 
 - 0-00567 
 
 + 52 
 
 Applied Constant : - -ooioo. 
 
 The Equation of this Table must be supplemented by those of Tables XXVII-XXIX. 
 256 
 
SATELLITE IV 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 Equations of the Variation of Radius Vector, Doubled 
 XXVII XXVIII XXIX 
 
 1 
 
 2 
 
 i 
 
 2 
 
 c 
 
 Equation 
 
 C 
 
 Equation 
 
 d 
 00 
 
 0-00064 
 
 d 
 
 100 
 
 0-00043 
 
 2 
 
 64 
 
 2 
 
 45 
 
 4 
 
 63 
 
 4 
 
 48 
 
 6 
 
 62 
 
 6 
 
 50 
 
 8 
 
 61 
 
 8 
 
 52 
 
 10 
 
 60 
 
 11 O 
 
 55 
 
 1-2 
 
 0-00058 
 
 11-2 
 
 0-00057 
 
 4 
 
 56 
 
 4 
 
 59 
 
 6 
 
 54 
 
 6 
 
 60 
 
 8 
 
 5* 
 
 8 
 
 62 
 
 2-0 
 
 49 
 
 120 
 
 63 
 
 22 
 
 0-00047 
 
 122 
 
 0-00064 
 
 4 
 
 44 
 
 4 
 
 64 
 
 6 
 
 42 
 
 6 
 
 64 
 
 8 
 
 39 
 
 8 
 
 64 
 
 3-O 
 
 37 
 
 130 
 
 63 
 
 32 
 
 0-00035 
 
 132 
 
 0-00062 
 
 4 
 
 33 
 
 4 
 
 61 
 
 6 
 
 32 
 
 6 
 
 59 
 
 8 
 
 30 
 
 8 
 
 57 
 
 4O 
 
 29 
 
 14-0 
 
 55 
 
 4'2 
 
 0-00028 
 
 142 
 
 0-00053 
 
 4 
 
 27 
 
 4 
 
 5< 
 
 6 
 
 26 
 
 6 
 
 48 
 
 8 
 
 25 
 
 8 
 
 46 
 
 50 
 
 25 
 
 ISO 
 
 43 
 
 52 
 
 0-00025 
 
 15-2 
 
 0-00041 
 
 4 
 
 24 
 
 4 
 
 39 
 
 6 
 
 *4 
 
 8 
 
 37 
 
 8 
 
 4 
 
 8 
 
 35 
 
 6-0 
 
 24 
 
 160 
 
 33 
 
 62 
 
 0-00024 
 
 182 
 
 0-00031 
 
 4 
 
 24 
 
 4 
 
 30 
 
 6 
 
 24 
 
 6 
 
 28 
 
 8 
 
 24 
 
 8 
 
 27 
 
 7O 
 
 *4 
 
 17 O 
 
 27 
 
 72 
 
 0-00024 
 
 172 
 
 0-00026 
 
 4 
 
 25 
 
 4 
 
 25 
 
 6 
 
 *5 
 
 6 
 
 *5 
 
 8 
 
 26 
 
 8 
 
 25 
 
 80 
 
 26 
 
 ISO 
 
 24 
 
 82 
 
 0-00027 
 
 182 
 
 0-00024 
 
 4 
 
 28 
 
 4 
 
 24 
 
 6 
 
 29 
 
 6 
 
 24 
 
 8 
 
 3' 
 
 8 
 
 24 
 
 90 
 
 32 
 
 19 O 
 
 2 4 
 
 92 
 
 0-00034 
 
 192 
 
 0-00024 
 
 4 
 
 36 
 
 4 
 
 24 
 
 6 
 
 38 
 
 6 
 
 24 
 
 8 
 
 40 
 
 8 
 
 25 
 
 100 
 
 0-00043 
 
 200 
 
 0-00025 
 
 i 
 
 2 
 
 3 
 
 D 
 
 Equation 
 
 A 
 Qd-I 
 
 d 
 00 
 
 0-00076 
 
 - 0,0 
 
 04 
 
 76 
 
 ,3 
 
 08 
 
 74 
 
 ,5 
 
 1-2 
 
 72 
 
 ,5 
 
 16 
 
 70 
 
 0,8 
 
 20 
 
 66 
 
 0,8 
 
 2-4 
 
 0-00062 
 
 - ',0 
 
 28 
 
 58 
 
 1,1 
 
 3-2 
 
 53 
 
 i,3 
 
 36 
 
 48 
 
 i,4 
 
 40 
 
 42 
 
 ',4 
 
 44 
 
 0-00037 
 
 - ',3 
 
 48 
 
 31 
 
 i,3 
 
 5-2 
 
 27 
 
 i,3 
 
 56 
 
 22 
 
 i,3 
 
 60 
 
 17 
 
 i,' 
 
 64 
 
 0-OOOI3 
 
 - 0,9 
 
 68 
 
 10 
 
 0,8 
 
 7-2 
 
 7 
 
 0,6 
 
 76 
 
 5 
 
 o,4 
 
 80 
 
 4 
 
 - 0,1 
 
 84 
 
 0-00004 
 
 + o.i 
 
 8-8 
 
 5 
 
 o,3 
 
 9-2 
 
 6 
 
 o,4 
 
 96 
 
 8 
 
 o,5 
 
 100 
 
 11 
 
 0,8 
 
 104 
 
 0-00014 
 
 + 0,9 
 
 108 
 
 18 
 
 1,1 
 
 11-2 
 
 *3 
 
 1,3 
 
 11-6 
 
 28 
 
 ',3 
 
 120 
 
 33 
 
 i,3 
 
 12'4 
 
 0-00038 
 
 + i,4 
 
 128 
 
 44 
 
 i,3 
 
 132 
 
 49 
 
 i,3 
 
 13-6 
 
 54 
 
 i,3 
 
 14 O 
 
 59 
 
 1,1 
 
 14-4 
 
 0-00063 
 
 + 1,0 
 
 14-8 
 
 67 
 
 o,9 
 
 15-2 
 
 70 
 
 0,8 
 
 15-6 
 
 73 
 
 0,6 
 
 160 
 
 75 
 
 o,4 
 
 16-4 
 
 0-00076 
 
 + 0,1 
 
 168 
 
 76 
 
 - 0,1 
 
 172 
 
 75 
 
 o,3 
 
 17-6 
 
 74 
 
 o,4 
 
 180 
 
 72 
 
 0,6 
 
 184 
 
 o -00069 
 
 - 0,9 
 
 188 
 
 65 
 
 1,0 
 
 19-2 
 
 61 
 
 1,0 
 
 196 
 
 57 
 
 i, i 
 
 20 
 
 0-00052 
 
 - 1,1 
 
 i 
 
 2 
 
 H 
 
 Equation 
 
 d 
 
 
 
 0-00009 
 
 1 
 
 10 
 
 2 
 
 12 
 
 3 
 
 '5 
 
 4 
 
 '9 
 
 5 
 
 23 
 
 6 
 
 0-00027 
 
 7 
 
 3 
 
 8 
 
 3 
 
 9 
 
 3' 
 
 1O 
 
 29 
 
 11 
 
 0-00026 
 
 12 
 
 23 
 
 13 
 
 18 
 
 14 
 
 H 
 
 15 
 
 ii 
 
 16 
 
 0-00009 
 
 17 
 
 9 
 
 18 
 
 10 
 
 19 
 
 '3 
 
 2O 
 
 0*00016 
 
 Constant: +'00020. 
 
 The signs of these Equations are 
 positive. 
 
 Constant: +'00040. 
 
 Constant: +'00040- 
 
SATELLITE IV 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XXX Equation of Latitude Argument J 
 
 I 
 
 2 
 
 3 
 
 4 
 
 i 
 
 2 
 
 3 
 
 4 
 
 i 
 
 2 
 
 3 
 
 4 
 
 i 
 
 2 
 
 3 
 
 4 
 
 J 
 
 Equation 
 
 A 
 O d 'OI 
 
 A 2 
 
 J 
 
 Equation 
 
 A 
 O d 'OI 
 
 JA* 
 
 J 
 
 Equation 
 
 A 
 O d 'OI 
 
 i* 
 
 J 
 
 Equation 
 
 A 
 O d 'OI 
 
 A 2 
 
 d 
 
 
 
 
 d 
 
 
 
 
 d 
 
 
 
 
 d 
 
 
 
 
 000 
 
 1-34000 
 
 + 494, 8 
 
 0,0 
 
 200 
 
 2-23911 
 
 + 36l,5 
 
 -0,6 
 
 400 
 
 2-65286 
 
 + 32,0 
 
 -0,9 
 
 6 00 
 
 2-35578 
 
 -3'5, 
 
 -o,7 
 
 04 
 
 ''35979 
 
 494, 8 
 
 0,0 
 
 04 
 
 2-25347 
 
 356,4 
 
 0,6 
 
 O4 
 
 2-65399 
 
 24,5 
 
 o,9 
 
 04 
 
 2-34306 
 
 320,4 
 
 o,7 
 
 08 
 
 1-37958 
 
 494, 6 
 
 0,0 
 
 08 
 
 2-26762 
 
 35',3 
 
 0,6 
 
 08 
 
 2-65482 
 
 17,1 
 
 ,9 
 
 OS 
 
 2-33015 
 
 325,9 
 
 o,7 
 
 12 
 
 1-39936 
 
 494,3 
 
 0,0 
 
 12 
 
 2-28157 
 
 346,1 
 
 ,7 
 
 12 
 
 2-65536 
 
 9,8 
 
 >9 
 
 12 
 
 2-31699 
 
 33i,9 
 
 o,7 
 
 16 
 
 I'4i9i2 
 
 493,8 
 
 0,0 
 
 16 
 
 2-29531 
 
 34, 6 
 
 o,7 
 
 16 
 
 2-65560 
 
 + z,3 
 
 >9 
 
 16 
 
 2-30360 
 
 337,4 
 
 o,7 
 
 20 
 
 1-43886 
 
 493,4 
 
 0,0 
 
 20 
 
 2-30882 
 
 335,' 
 
 o,7 
 
 20 
 
 2-65554 
 
 - 5,3 
 
 ,9 
 
 20 
 
 2-29000 
 
 342,8 
 
 o,7 
 
 024 
 
 1-45859 
 
 + 492,9 
 
 0,0 
 
 224 
 
 2-32212 
 
 + 3*9,8 
 
 -o,7 
 
 424 
 
 2-65518 
 
 - 12,8 
 
 -0,9 
 
 624 
 
 2-27618 
 
 - 348,0 
 
 -o,7 
 
 28 
 
 1-47829 
 
 492,0 
 
 -0,1 
 
 28 
 
 2-33520 
 
 324,1 
 
 ,7 
 
 28 
 
 2-65452 
 
 20,1 
 
 o,9 
 
 28 
 
 2-26216 
 
 353,3 
 
 o,7 
 
 32 
 
 1-49795 
 
 49', ' 
 
 o,' 
 
 32 
 
 2-34805 
 
 318,3 
 
 ,7 
 
 32 
 
 2-65357 
 
 27,5 
 
 >9 
 
 32 
 
 2-24792 
 
 358,4 
 
 0,6 
 
 36 
 
 1-51758 
 
 49, 3 
 
 0,1 
 
 36 
 
 2-36066 
 
 312,5 
 
 o,7 
 
 36 
 
 2-65232 
 
 35,o 
 
 ,9 
 
 36 
 
 2-23349 
 
 363,4 
 
 0,6 
 
 40 
 
 'S37I7 
 
 489,1 
 
 0,1 
 
 40 
 
 2-37305 
 
 306,9 
 
 o,7 
 
 40 
 
 2-65077 
 
 42,5 
 
 ,9 
 
 40 
 
 2-21885 
 
 368,6 
 
 o,7 
 
 044 
 
 1-55671 
 
 + 488,0 
 
 -0,1 
 
 244 
 
 2-38521 
 
 + 301,0 
 
 -o,7 
 
 444 
 
 2-64892 
 
 - 49,9 
 
 -0,9 
 
 644 
 
 2-20400 
 
 - 374,o 
 
 -0,6 
 
 48 
 
 1-57621 
 
 486,9 
 
 0,2 
 
 48 
 
 2-397I3 
 
 295,0 
 
 0,8 
 
 48 
 
 2-64678 
 
 57,4 
 
 ,9 
 
 48 
 
 2-18897 
 
 378,4 
 
 0,6 
 
 52 
 
 1-59566 
 
 485,5 
 
 0,2 
 
 52 
 
 2-40881 
 
 289,0 
 
 0,8 
 
 52 
 
 2 '64433 
 
 64,9 
 
 o,9 
 
 52 
 
 2-17373 
 
 383,' 
 
 0,6 
 
 56 
 
 1-61505 
 
 483,9 
 
 0,2 
 
 56 
 
 2^42025 
 
 282,9 
 
 0,8 
 
 56 
 
 2-64159 
 
 72,3 
 
 o,9 
 
 56 
 
 2-15832 
 
 387,6 
 
 0,6 
 
 SO 
 
 '63437 
 
 482,3 
 
 0,2 
 
 60 
 
 2-43144 
 
 276,5 
 
 0,8 
 
 60 
 
 2-63855 
 
 79,6 
 
 ,9 
 
 60 
 
 2-14272 
 
 39 2 >3 
 
 0,6 
 
 64 
 
 1-65363 
 
 + 480,5 
 
 -0,2 
 
 264 
 
 2-44237 
 
 + 270,1 
 
 -0,8 
 
 4-64 
 
 2^63522 
 
 - 87,o 
 
 -0,9 
 
 664 
 
 2-12694 
 
 -396,8 
 
 -0,6 
 
 68 
 
 1-67281 
 
 478,6 
 
 0,2 
 
 68 
 
 2-45305 
 
 263,9 
 
 0,8 
 
 68 
 
 2-63159 
 
 94,4 
 
 o>9 
 
 68 
 
 2*1 1098 
 
 401,3 
 
 o,5 
 
 72 
 
 1-69192 
 
 476,8 
 
 0,2 
 
 72 
 
 2-46348 
 
 257,8 
 
 0,8 
 
 72 
 
 2-62767 
 
 101,5 
 
 o,9 
 
 72 
 
 2-09484 
 
 45,5 
 
 o,5 
 
 76 
 
 1-71095 
 
 474,8 
 
 o,3 
 
 76 
 
 2-47367 
 
 251,6 
 
 0,8 
 
 76 
 
 2-62347 
 
 108,8 
 
 >9 
 
 76 
 
 2-07854 
 
 49,5 
 
 o,5 
 
 80 
 
 1-72990 
 
 472,6 
 
 0,3 
 
 80 
 
 2 - 4836i 
 
 245,0 
 
 0,8 
 
 80 
 
 2-61897 
 
 1 1 6, i 
 
 ,9 
 
 80 
 
 2-O62O8 
 
 413,8 
 
 o,5 
 
 084 
 
 1-74876 
 
 + 470,4 
 
 -0,3 
 
 284 
 
 1-49327 
 
 + 238,4 
 
 -0,8 
 
 4-84 
 
 2-61418 
 
 -123,5 
 
 -0,9 
 
 6-84 
 
 2-04544 
 
 -418,0 
 
 -,5 
 
 88 
 
 1-76753 
 
 468,0 
 
 0,3 
 
 88 
 
 2-50268 
 
 231,9 
 
 0,8 
 
 88 
 
 2-60909 
 
 130,8 
 
 o,9 
 
 88 
 
 2-02864 
 
 421,9 
 
 o,5 
 
 92 
 
 1-78620 
 
 465,5 
 
 ,3 
 
 92 
 
 2-51182 
 
 225,3 
 
 0,8 
 
 92 
 
 2-60372 
 
 137,8 
 
 0,9 
 
 92 
 
 2'OI 169 
 
 425,6 
 
 o,5 
 
 96 
 
 1-80477 
 
 463,0 
 
 o,3 
 
 96 
 
 2-52070 
 
 218,6 
 
 0,8 
 
 96 
 
 2-59807 
 
 H5,o 
 
 ,9 
 
 96 
 
 '99459 
 
 429,5 
 
 o,5 
 
 1 00 
 
 1-82324 
 
 460,4 
 
 o,3 
 
 300 
 
 2-52931 
 
 211,9 
 
 o,9 
 
 5 00 
 
 2-59212 
 
 152,1 
 
 ,9 
 
 700 
 
 '97733 
 
 433,i 
 
 0,4 
 
 1 04 
 
 1-84160 
 
 + 457,5 
 
 -0,4 
 
 304 
 
 2-53765 
 
 + 205,0 
 
 -0,8 
 
 5 04 
 
 2-58590 
 
 -'59,3 
 
 -0,9 
 
 7-O4 
 
 '95994 
 
 -436,5 
 
 -,4 
 
 08 
 
 1-85984 
 
 454,6 
 
 ,4 
 
 08 
 
 z'5457' 
 
 198,4 
 
 ,9 
 
 08 
 
 2-57938 
 
 166,5 
 
 o>9 
 
 08 
 
 94241 
 
 440,0 
 
 ,4 
 
 12 
 
 1-87797 
 
 45',8 
 
 ,4 
 
 12 
 
 2-55352 
 
 191,4 
 
 o,9 
 
 12 
 
 2-57258 
 
 173,4 
 
 -9 
 
 12 
 
 '9 2 474 
 
 443,5 
 
 o,4 
 
 16 
 
 1-89598 
 
 448,5 
 
 o,4 
 
 16 
 
 2-56104 
 
 '84,5 
 
 ,9 
 
 16 
 
 2-56551 
 
 180,4 
 
 o,9 
 
 16 
 
 90693 
 
 446,8 
 
 0,4 
 
 20 
 
 1-91385 
 
 445,' 
 
 o,4 
 
 20 
 
 2-56828 
 
 177,6 
 
 ,9 
 
 2O 
 
 2-55815 
 
 187,4 
 
 o,9 
 
 20 
 
 88900 
 
 449,8 
 
 0,4 
 
 1 24 
 
 1-93159 
 
 + 44',9 
 
 -0,4 
 
 324 
 
 2-57525 
 
 + 170,8 
 
 -0,9 
 
 5'24 
 
 2-55052 
 
 -194,1 
 
 -0,8 
 
 724 
 
 87095 
 
 -452,9 
 
 -0,4 
 
 28 
 
 1-94920 
 
 438,6 
 
 ,4 
 
 28 
 
 2-58194 
 
 163,6 
 
 o,9 
 
 28 
 
 2-54262 
 
 200,9 
 
 0,9 
 
 28 
 
 85277 
 
 455,9 
 
 o,4 
 
 32 
 
 1-96668 
 
 435,4 
 
 ,4 
 
 32 
 
 2-58834 
 
 156,5 
 
 >9 
 
 32 
 
 2-53445 
 
 207,8 
 
 ,9 
 
 32 
 
 83448 
 
 458,6 
 
 o,3 
 
 36 
 
 1-98403 
 
 43',9 
 
 o,5 
 
 36 
 
 2-59446 
 
 '49,3 
 
 0,9 
 
 36 
 
 2-52600 
 
 214,6 
 
 0,8 
 
 36 
 
 81608 
 
 461,4 
 
 o,3 
 
 40 
 
 2-00123 
 
 428,1 
 
 o,5 
 
 40 
 
 2-60028 
 
 142,1 
 
 '9 
 
 4O 
 
 2-51728 
 
 221,1 
 
 0,8 
 
 40 
 
 179757 
 
 464,1 
 
 o,3 
 
 1'44 
 
 2-01828 
 
 + 424,' 
 
 -o,5 
 
 344 
 
 2-60583 
 
 + '35,3 
 
 -,9 
 
 5-44 
 
 2-50831 
 
 -227,6 
 
 -0,8 
 
 7-44 
 
 77895 
 
 -466,3 
 
 -o,3 
 
 48 
 
 2-03516 
 
 4 2 ,3 
 
 o,5 
 
 48 
 
 2'6lIIO 
 
 128,1 
 
 ,9 
 
 48 
 
 2-49907 
 
 Z 34,4 
 
 0,8 
 
 48 
 
 76027 
 
 468,6 
 
 o,3 
 
 52 
 
 2-05190 
 
 4'6,5 
 
 ,5 
 
 52 
 
 2-61608 
 
 120,8 
 
 ,9 
 
 52 
 
 2-48956 
 
 241,0 
 
 0,8 
 
 52 
 
 74146 
 
 47i,4 
 
 ,3 
 
 56 
 
 2-06848 
 
 412,4 
 
 o,5 
 
 56 
 
 2-62076 
 
 i'3,4 
 
 o,9 
 
 56 
 
 2-47979 
 
 247,6 
 
 0,8 
 
 56 
 
 72256 
 
 473,6 
 
 o,3 
 
 60 
 
 2-08489 
 
 408,1 
 
 ,5 
 
 60 
 
 2-62515 
 
 1 06, i 
 
 o,9 
 
 60 
 
 2-46975 
 
 254,1 
 
 0,8 
 
 60 
 
 70357 
 
 475,4 
 
 0,2 
 
 1-64 
 
 2-10113 
 
 + 403,9 
 
 -0,5 
 
 364 
 
 2-62925 
 
 + 9 8 >9 
 
 -0,9 
 
 564 
 
 2-45946 
 
 -260,3 
 
 -0,8 
 
 764 
 
 '68453 
 
 -477,5 
 
 -o,3 
 
 68 
 
 2'J 1720 
 
 399,4 
 
 0,6 
 
 68 
 
 2-63306 
 
 9i,5 
 
 ,9 
 
 68 
 
 2-44893 
 
 266,5 
 
 0,8 
 
 68 
 
 66537 
 
 479,6 
 
 0,2 
 
 72 
 
 2-13308 
 
 394>9 
 
 0,6 
 
 72 
 
 2-63657 
 
 84,0 
 
 ,9 
 
 72 
 
 2-43814 
 
 272,9 
 
 0,8 
 
 72 
 
 64616 
 
 481,1 
 
 0,2 
 
 76 
 
 2-14879 
 
 39, 5 
 
 0,6 
 
 76 
 
 2-63978 
 
 76,6 
 
 0,9 
 
 76 
 
 2-42710 
 
 279,1 
 
 0,8 
 
 76 
 
 62688 
 
 482,9 
 
 0,2 
 
 80 
 
 2-16432 
 
 386,0 
 
 0,6 
 
 80 
 
 2-64270 
 
 69,4 
 
 0,9 
 
 80 
 
 2-41581 
 
 285,3 
 
 0,8 
 
 80 
 
 60753 
 
 484,5 
 
 0,2 
 
 1 84 
 
 2-17967 
 
 + 381,3 
 
 -0,6 
 
 384 
 
 2-64533 
 
 + 62,0 
 
 -0,9 
 
 584 
 
 2-40428 
 
 -291,3 
 
 -0,8 
 
 784 
 
 58812 
 
 -486,0 
 
 -0,2 
 
 88 
 
 2*19482 
 
 376,4 
 
 0,6 
 
 88 
 
 2-64766 
 
 54,6 
 
 ,9 
 
 88 
 
 2-39251 
 
 297,3 
 
 o,7 
 
 88 
 
 56865 
 
 487,5 
 
 0,2 
 
 92 
 
 2-20978 
 
 37i,6 
 
 0,6 
 
 92 
 
 2-64970 
 
 47,i 
 
 o,9 
 
 92 
 
 2^38050 
 
 303,1 
 
 o,7 
 
 92 
 
 54912 
 
 488,6 
 
 0,1 
 
 96 
 
 2-22455 
 
 366,6 
 
 0,6 
 
 96 
 
 2-65143 
 
 39,5 
 
 ,9 
 
 96 
 
 2-36826 
 
 309,0 
 
 o,7 
 
 96 
 
 52956 
 
 489,5 
 
 0,1 
 
 200 
 
 2-239II 
 
 + 36',5 
 
 -0,6 
 
 400 
 
 2-65286 
 
 + 32,0 
 
 -0,9 
 
 600 
 
 2-35578 
 
 -315,0 
 
 -0,7 
 
 800 
 
 50996 
 
 -49,5 
 
 -0,1 
 
 Applied Constant; +i '34000. 
 
 258 
 
SATELLITE IV 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 Equation of Latitude Argument J 
 
 XXX continued 
 
 I 
 
 2 
 
 3 
 
 4 
 
 i 
 
 2 
 
 3 
 
 4 
 
 i 
 
 2 
 
 3 
 
 4 
 
 I 
 
 2 
 
 3 
 
 4 
 
 J 
 
 Equation 
 
 A 
 O d 'OI 
 
 !A> 
 
 J 
 
 Equation 
 
 A 
 O d 'OI 
 
 JA> 
 
 J 
 
 Equation 
 
 A 
 
 !* 
 
 J 
 
 Equation 
 
 A 
 
 H- 
 
 d 
 
 
 
 
 d 
 
 
 
 
 d 
 
 
 
 
 d 
 
 
 
 
 800 
 
 1-50996 
 
 -49-5 
 
 -0,1 
 
 10-00 
 
 0-57264 
 
 -402,3 
 
 + o,5 
 
 12-OO 
 
 0-04924 
 
 - 96,0 
 
 + 0,9 
 
 1400 
 
 0-22457 
 
 + 262,8 
 
 + 0,8 
 
 04 
 
 49032 
 
 49', 4 
 
 o, 
 
 04 
 
 55664 
 
 397,8 
 
 0,6 
 
 O4 
 
 4555 
 
 88,6 
 
 0,9 
 
 04 
 
 23521 
 
 269,1 
 
 0,8 
 
 08 
 
 47065 
 
 492,1 
 
 o, 
 
 OS 
 
 54082 
 
 393,3 
 
 0,6 
 
 08 
 
 4215 
 
 81,3 
 
 o,9 
 
 08 
 
 24610 
 
 275,3 
 
 0,8 
 
 12 -45095 
 
 492,9 
 
 o, 
 
 12 
 
 52518 
 
 388,8 
 
 0,6 
 
 12 
 
 395 
 
 73,9 
 
 >9 
 
 12 
 
 25723 
 
 281,3 
 
 0,8 
 
 16 -43122 
 
 493,6 
 
 o, 
 
 16 
 
 50972 
 
 384,3 
 
 0,6 
 
 16 
 
 3624 
 
 66,4 
 
 o,9 
 
 16 
 
 26860 
 
 287,4 
 
 0,8 
 
 2O 
 
 41 146 
 
 494,' 
 
 -o, 
 
 20 
 
 '49444 
 
 379,5 
 
 0,6 
 
 20 
 
 3374 
 
 58,8 
 
 o,9 
 
 20 
 
 28022 
 
 293,4 
 
 0,8 
 
 824 
 
 39169 
 
 -494,5 
 
 0,0 
 
 10 24 
 
 0-47936 
 
 - 374,6 
 
 + 0,6 
 
 12-24 
 
 0-03154 
 
 - 5',4 
 
 + 0,9 
 
 1424 
 
 0-29207 
 
 + 299,8 
 
 + 0,8 
 
 28 
 
 37190 
 
 494,8 
 
 0,0 
 
 28 
 
 46447 
 
 369,6 
 
 0,6 
 
 28 
 
 2963 
 
 44,4 
 
 0,9 
 
 28 
 
 30420 
 
 305,9 
 
 o,7 
 
 32 
 
 35211 
 
 494,8 
 
 0,0 
 
 32 
 
 '44979 
 
 364,5 
 
 0,6 
 
 32 
 
 2799 
 
 36,9 
 
 o,9 
 
 32 
 
 31654 
 
 3",4 
 
 o,7 
 
 36 
 
 33232 
 
 494,8 
 
 0,0 
 
 36 
 
 '4353' 
 
 359,6 
 
 0,6 
 
 36 
 
 2668 
 
 29,3 
 
 o,9 
 
 36 
 
 329" 
 
 3'7,i 
 
 o,7 
 
 40 
 
 31253 
 
 494,5 
 
 0,0 
 
 40 
 
 42102 
 
 354,5 
 
 0,6 
 
 40 
 
 2565 
 
 21,9 
 
 o>9 
 
 40 
 
 '34'9' 
 
 322,8 
 
 o,7 
 
 8-44 
 
 29276 
 
 -494,3 
 
 0,0 
 
 1044 
 
 0-40695 
 
 - 349,3 
 
 + o,7 
 
 12-44 
 
 0-02493 
 
 - '4,3 
 
 + 0,9 
 
 1444 
 
 0-35493 
 
 + 328,3 
 
 + 0,7 
 
 48 
 
 27299 
 
 494,' 
 
 0,0 
 
 48 
 
 39308 
 
 344,o 
 
 o,7 
 
 48 
 
 245' 
 
 - 6,8 
 
 o,9 
 
 48 
 
 36817 
 
 333,9 
 
 o,7 
 
 52 
 
 
 493,8 
 
 + o, 
 
 52 
 
 '37943 
 
 338,4 
 
 0,7 
 
 52 
 
 2439 
 
 + 0,6 
 
 ,9 
 
 52 
 
 38164 
 
 339,3 
 
 o,7 
 
 56 
 
 23349 
 
 493,' 
 
 o, 
 
 56 
 
 36601 
 
 332,9 
 
 o,7 
 
 56 
 
 2456 
 
 8,0 
 
 o,9 
 
 56 
 
 39531 
 
 344,6 
 
 o,7 
 
 60 
 
 21378 
 
 492,5 
 
 o, 
 
 60 
 
 35280 
 
 327,4 
 
 0.7 
 
 60 
 
 2503 
 
 '5,5 
 
 o,9 
 
 60 
 
 40921 
 
 350,0 
 
 o,7 
 
 8-64 
 
 19409 
 
 -491,8 
 
 + o, 
 
 1O 64 
 
 0-33982 
 
 -321,8 
 
 + 0,7 
 
 12-64 
 
 0-02580 
 
 + 23,0 
 
 + 0,9 
 
 1464 
 
 0-42331 
 
 + 355,3 
 
 + 0,7 
 
 68 
 
 '7444 
 
 490-9 
 
 o, 
 
 68 
 
 32706 
 
 3'6,i 
 
 o,7 
 
 68 
 
 2687 
 
 30,5 
 
 0,9 
 
 68 
 
 43763 
 
 360,5 
 
 0,6 
 
 72 
 
 15482 
 
 489,9 
 
 
 72 
 
 3H53 
 
 3'o,4 
 
 o,7 
 
 72 
 
 2824 
 
 38,0 
 
 o,9 
 
 72 
 
 45215 
 
 365,5 
 
 0,6 
 
 76 
 
 13525 
 
 488,6 
 
 0,2 
 
 76 
 
 30223 
 
 304,5 
 
 o,7 
 
 76 
 
 2991 
 
 45,4 
 
 o,9 
 
 76 
 
 46687 
 
 370,4 
 
 0,6 
 
 X 
 
 80 
 
 '"573 
 
 487,4 
 
 0,2 
 
 80 
 
 29017 
 
 298,6 
 
 o,7 
 
 80 
 
 3>87 
 
 52,9 
 
 o,9 
 
 80 
 
 48178 
 
 375,4 
 
 0,6 
 
 884 
 88 
 92 
 96 
 900 
 
 09626 
 07683 
 
 05747 
 03817 
 01894 
 
 -486,3 
 484,9 
 483,3 
 481,6 
 
 479,9 
 
 + 0,2 
 0,2 
 0,2 
 O,2 
 0,2 
 
 10-84 
 88 
 92 
 96 
 11-OO 
 
 0-27834 
 26676 
 25542 
 '24432 
 23347 
 
 -292,6 
 286,6 
 280,5 
 
 274,4 
 268,1 
 
 + 0,8 
 0,8 
 0,8 
 0,8 
 
 0,8 
 
 12-84 
 88 
 92 
 96 
 1300 
 
 0-03414 
 3669 
 
 3954 
 4270 
 4615 
 
 + 60,3 
 
 67,5 
 75,' 
 82,6 
 
 89,9 
 
 + 0,9 
 o,9 
 o,9 
 o,9 
 o>9 
 
 14-84 
 88 
 92 
 96 
 1500 
 
 0-49690 
 51220 
 52769 
 54336 
 55921 
 
 + 380,3 
 
 384,9 
 389,5 
 394,o 
 398,5 
 
 + 0,6 
 0,6 
 0,6 
 0,6 
 0,6 
 
 9O4 
 
 0-99978 -478,0 
 
 + 0,2 
 
 11-04 
 
 0-22287 
 
 -261,8 
 
 + 0,8 
 
 1304 
 
 0-04989 
 
 + 97,' 
 
 + 0,9 
 
 1504 
 
 0-57524 
 
 + 402,9 
 
 + o,5 
 
 08 
 12 
 16 
 2O 
 
 98070 
 96169 
 94278 
 92395 
 
 476,i 
 474,o 
 471,8 
 469,6 
 
 o,3 
 o,3 
 o,3 
 
 08 
 12 
 16 
 20 
 
 21253 
 20244 
 19261 
 
 18304 
 
 255,4 
 249,0 
 
 242,5 
 236,0 
 
 0,8 
 0,8 
 0,8 
 0,8 
 
 08 
 12 
 16 
 
 20 
 
 5392 
 5824 
 6285 
 6775 
 
 104,4 
 111,6 
 
 "8,9 
 126,3 
 
 o,9 
 
 o,9 
 
 0^9 
 
 OS 
 12 
 16 
 2O 
 
 '59'44 
 60781 
 
 62435 
 
 64105 
 
 47,i 
 4",4 
 4'5,5 
 4 '9,4 
 
 o!s 
 
 o,5 
 o,5 
 
 924 
 28 
 32 
 36 
 40 
 
 0-90521 
 88657 
 86804 
 84961 
 83130 
 
 -467,3 
 464,6 
 462,0 
 459,3 
 456,3 
 
 + 0,3 
 o,3 
 o,3 
 o,4 
 o,4 
 
 11-24 
 28 
 32 
 36 
 
 40 
 
 0-17373 
 16469 
 15592 
 14741 
 13918 
 
 -229,4 
 
 222,6 
 2 1 6,0 
 
 209,3 
 202,5 
 
 + 0,8 
 0,8 
 0,8 
 0,8 
 0,8 
 
 13-24 
 28 
 32 
 36 
 40 
 
 0-07295 
 
 7844 
 8421 
 9026 
 9660 
 
 + '33,6 
 140,8 
 
 '47,8 
 
 '54,9 
 161,9 
 
 + 0,9 
 o,9 
 o,9 
 o,9 
 o,9 
 
 15-24 
 28 
 32 
 36 
 4O 
 
 0-65790 
 67491 
 69207 
 70938 
 72683 
 
 + 423,3 
 427,' 
 430,9 
 
 434,5 
 438,0 
 
 + o,5 
 o,5 
 o,5 
 o,4 
 o,4 
 
 944 
 48 
 52 
 56 
 60 
 
 0-81311 
 
 79504 
 77709 
 
 75926 
 74156 
 
 -453,3 
 450,3 
 447,3 
 444,' 
 440,9 
 
 + 0,4 
 o,4 
 o,4 
 0,4 
 o,4 
 
 11-44 
 48 
 52 
 56 
 
 60 
 
 0-13121 
 12352 
 11613 
 10899 
 10213 
 
 -195,8 
 
 '88,5 
 181,6 
 
 '75,0 
 167,9 
 
 + 0,9 
 0,9 
 o,9 
 o,9 
 
 1344 
 48 
 52 
 56 
 60 
 
 IIOI2 
 II73I 
 
 12476 
 
 13249 
 
 + 169,0 
 176,3 
 '83,0 
 189,8 
 196,8 
 
 + 0,9 
 
 ,9 
 0,8 
 
 o>9 
 
 o,9 
 
 15-44 
 48 
 52 
 56 
 60 
 
 074442 
 76214 
 
 77999 
 79797 
 81607 
 
 + 44',4 
 
 444,6 
 
 447,9 
 451,0 
 
 454,o 
 
 + 0,4 
 
 0)4 
 o,4 
 o,4 
 
 9 64 
 68 
 72 
 76 
 80 
 
 072399 
 -70657 
 68929 
 67215 
 65516 
 
 -437,4 
 433,8 
 43,3 
 426,6 
 422,6 
 
 + 0,4 
 
 o,4 
 o,5 
 o,5 
 o,5 
 
 11-64 
 68 
 72 
 76 
 80 
 
 0-09556 
 8926 
 8325 
 
 7753 
 7209 
 
 -160,9 
 
 '53,9 
 H 6 - 6 
 '39,5 
 132,4 
 
 + 0,9 
 o,9 
 o>9 
 o,9 
 o>9 
 
 13-64 
 68 
 72 
 76 
 80 
 
 14878 
 15733 
 16614 
 17523 
 
 + 203,6 
 210,4 
 217,0 
 223,8 
 230,5 
 
 + 0,9 
 0,8 
 0,8 
 0,8 
 0,8 
 
 1564 
 68 
 72 
 76 
 80 
 
 0-83429 
 85263 
 87108 
 88963 
 90828 
 
 + 457,o 
 459-9 
 462,5 
 465,0 
 467,5 
 
 + 0,4 
 o,3 
 o,3 
 o,3 
 o,3 
 
 984 
 88 
 92 
 96 
 1O-OO 
 
 0-63834 
 62167 
 60516 
 58882 
 0-57264 
 
 -418,6 
 
 4'4,8 
 410,6 
 
 406,5 
 -402,3 
 
 + o,5 
 o,5 
 o,5 
 o,5 
 + o,5 
 
 11-84 
 88 
 92 
 96 
 1200 
 
 0-06694 
 6208 
 575' 
 5323 
 0-04924 
 
 -125,1 
 
 "7,9 
 110,6 
 
 103,4 
 - 96,0 
 
 + 0,9 
 
 O.Q 
 
 O,Q 
 
 o,9 
 
 + 0,9 
 
 1384 
 88 
 92 
 96 
 1400 
 
 0-18458 
 I94I9 
 '20406 
 2I4I9 
 0-22457 
 
 + *37,o 
 243,5 
 250,0 
 
 256,4 
 + 262,8 
 
 + 0,8 
 0,8 
 0,8 
 0,8 
 + 0,8 
 
 15-84 
 88 
 92 
 96 
 16-00 
 
 0-92703 
 
 94587 
 96481 
 98382 
 1-00291 
 
 + 469-9 
 472,3 
 474,4 
 476,3 
 + 478,3 
 
 + 0,3 
 o,3 
 o,3 
 
 0,2 
 
 + 0,2 
 
 
 
 
 
 
 
 
 
 
 -^-^ ^ 
 
 
 
 ^^^^" 
 
 . 
 
 [Continued on p. 260. 
 
 Applied Constant : 
 *59 
 
SATELLITE IV 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 Equations of Latitude 
 
 XXX continued 
 
 1 
 
 2 
 
 3 
 
 4 
 
 J 
 
 Equation 
 
 A 
 <>d-oi 
 
 JA 
 
 d 
 16 OO 
 
 1-00291 
 
 + 478,3 
 
 + 0,2 
 
 04 
 
 1-02208 
 
 480,1 
 
 0,2 
 
 08 
 
 1-04132 
 
 481,9 
 
 0,2 
 
 12 
 
 i -06063 
 
 483,5 
 
 0,2 
 
 16 
 
 i -08000 
 
 485,0 
 
 0,2 
 
 20 
 
 i -09943 
 
 486,4 
 
 0,2 
 
 1624 
 
 1-11891 
 
 + 487,6 
 
 + 0,2 
 
 28 
 
 1-13844 
 
 488,9 
 
 0,2 
 
 32 
 
 1-15802 
 
 490,0 
 
 o, 
 
 36 
 
 1-17764 
 
 491,0 
 
 o, 
 
 40 
 
 1-19730 
 
 491,8 
 
 o, 
 
 1644 
 
 1-21698 
 
 + 49 Z ,5 
 
 + o, 
 
 48 
 
 1-23670 
 
 493,3 
 
 o, 
 
 52 
 
 1-25644 
 
 493,8 
 
 + o, 
 
 56 
 
 1-27620 
 
 494,' 
 
 0,0 
 
 6O 
 
 I-Z9597 
 
 494,5 
 
 0,0 
 
 16-64 
 
 1-31576 
 
 + 494,8 
 
 0,0 
 
 68 
 
 1-33555 
 
 494,9 
 
 0,0 
 
 72 
 
 i'35535 
 
 494,8 
 
 0,0 
 
 76 
 
 I-375I3 
 
 494,5 
 
 0,0 
 
 80 
 
 1-39491 
 
 494,4 
 
 0,0 
 
 16-84 
 
 1-41468 
 
 + 494,0 
 
 -o, 
 
 88 
 
 '"43443 
 
 493,5 
 
 o, 
 
 92 
 
 1-45416 
 
 49 Z >9 
 
 o, 
 
 96 
 
 1-47386 
 
 49 ',9 
 
 , 
 
 1700 
 
 J'4935' 
 
 49'-' 
 
 o, 
 
 17-O4 
 
 1-51315 
 
 + 49, 5 
 
 -o, 
 
 OS 
 
 '53*75 
 
 489,5 
 
 o, 
 
 12 
 
 1-55231 
 
 488,4 
 
 0,2 
 
 16 
 
 1-57182 
 
 487,1 
 
 0,2 
 
 20 
 
 1-59128 
 
 485,8 
 
 0,2 
 
 1724 
 
 1-61068 
 
 + 484,3 
 
 -0,2 
 
 28 
 
 1-63002 
 
 482,8 
 
 0,2 
 
 32 
 
 1-64930 
 
 481,0 
 
 0,2 
 
 36 
 
 1-66850 
 
 479, ' 
 
 0,2 
 
 4O 
 
 1-68763 
 
 477,' 
 
 o,3 
 
 1744 
 
 1-70667 
 
 + 475,' 
 
 -0,3 
 
 48 
 
 1-72564 
 
 473,o 
 
 o,3 
 
 52 
 
 '7445' 
 
 470,8 
 
 ,3 
 
 56 
 
 1-76330 
 
 468,5 
 
 o,3 
 
 60 
 
 178199 
 
 466,1 
 
 ,3 
 
 17-64 
 
 1-80059 
 
 + 463,6 
 
 ->3 
 
 68 
 
 1-81908 
 
 460,9 
 
 o,3 
 
 72 
 
 1-83746 
 
 458,i 
 
 >3 
 
 76 
 
 1-85573 
 
 455,4 
 
 ,4 
 
 80 
 
 1-87389 
 
 452,5 
 
 o,4 
 
 17-84 
 
 1-89193 
 
 + 449,4 
 
 -,4 
 
 88 
 
 1-90984 
 
 446,1 
 
 ,4 
 
 92 
 
 1-92762 
 
 442,8 
 
 0,4 
 
 96 
 
 1-94526 
 
 439,4 
 
 >4 
 
 1800 
 
 1-96277 
 
 + 436,' 
 
 -,4 
 
 XXXI 
 
 Constant: +1-34000. 
 
 i 
 
 z 
 
 3 
 
 i 
 
 2 
 
 3 
 
 . 
 
 2 
 
 3 
 
 M 
 
 Equation 
 
 A 
 O d 'OI 
 
 M 
 
 Equation 
 
 A 
 O d 'OI 
 
 M 
 
 Equation 
 
 A 
 O d 'OI 
 
 d 
 
 j 
 
 d 
 
 
 
 d 
 
 
 
 000 
 
 0^14000 
 
 + 50,4 
 
 25O 
 
 0-24804 
 
 + 29,6 
 
 500 
 
 0^26722 
 
 -'5,4 
 
 OS 
 
 14252 
 
 5-3 
 
 55 
 
 24950 
 
 28,8 
 
 05 
 
 26643 
 
 '6,3 
 
 10 
 
 H503 
 
 50,2 
 
 60 
 
 25092 
 
 28,0 
 
 1O 
 
 26559 
 
 '7,2 
 
 15 
 
 -14754 
 
 50,2 
 
 65 
 
 25230 27,2 
 
 15 
 
 26471 
 
 18,1 
 
 20 
 
 15005 
 
 50,2 
 
 70 
 
 25364 
 
 26,4 
 
 20 
 
 26378 
 
 '9,' 
 
 25 
 
 15256 
 
 50,' 
 
 75 
 
 25494 
 
 25,6 
 
 25 
 
 26280 
 
 20,0 
 
 030 
 
 0-15506 
 
 + 50,0 
 
 2 SO 
 
 0-25620 
 
 + 2 4 ,8 
 
 530 
 
 o'26i78 
 
 - 20,8 
 
 35 
 
 15756 
 
 49,9 
 
 85 
 
 25742 
 
 24,0 
 
 35 
 
 26072 
 
 21,6 
 
 40 
 
 16005 
 
 49,7 
 
 9O 
 
 25860 
 
 23,2 
 
 40 
 
 25962 
 
 22,4 
 
 45 
 
 16253 
 
 49,6 
 
 95 
 
 25974 
 
 22,5 
 
 45 
 
 25848 
 
 23,3 
 
 50 
 
 16501 
 
 49,5 
 
 300 
 
 26085 
 
 21,6 
 
 50 
 
 25729 
 
 24,2 
 
 O 55 
 
 0-16748 
 
 + 49,3 
 
 3O5 
 
 0-26190 
 
 + 20,6 
 
 555 
 
 0-25606 
 
 -25,0 
 
 60 
 
 16994 
 
 49,' 
 
 1O 
 
 26291 
 
 19,8 
 
 6O 
 
 25479 
 
 25,8 
 
 65 
 
 17239 48,9 
 
 15 
 
 26388 
 
 1 8,9 
 
 65 
 
 25348 
 
 26,6 
 
 7O 
 
 17483 48,6 
 
 20 
 
 '26480 
 
 1 8,0 
 
 7O 
 
 25213 
 
 27,4 
 
 75 
 
 17725 4 8 ,3 
 
 25 
 
 26568 
 
 '7,i 
 
 75 
 
 25074 
 
 28,2 
 
 080 
 
 0-17966 
 
 + 48,1 
 
 330 
 
 0-26651 
 
 + 16,2 
 
 580 
 
 0-24931 
 
 -28,9 
 
 85 
 
 18206 
 
 47,8 
 
 35 
 
 26730 
 
 '5,4 
 
 85 
 
 24785 
 
 29,6 
 
 90 
 
 18444 
 
 47,4 
 
 40 
 
 26805 
 
 '4,5 
 
 90 
 
 24635 
 
 30,4 
 
 95 
 
 18680 
 
 47,' 
 
 45 
 
 26875 
 
 '3,5 
 
 95 
 
 24481 
 
 31,2 
 
 1-OO 
 
 18915 
 
 46,8 
 
 5O 
 
 -26940 
 
 12,6 
 
 600 
 
 24323 
 
 32,0 
 
 1 05 
 
 0-1914* 
 
 + 46,4 
 
 355 
 
 0-27001 
 
 + 11,7 
 
 6 05 
 
 0-24161 
 
 -32,7 
 
 10 
 
 '9379 
 
 46,0 
 
 60 
 
 27057 
 
 '0,7 
 
 10 
 
 23996 
 
 33,4 
 
 15 
 
 19608 
 
 45,6 
 
 65 
 
 27108 
 
 9,8 
 
 15 
 
 23827 
 
 34,' 
 
 20 
 
 I9 8 35 
 
 45,2 
 
 7O 
 
 27155 
 
 8,9 
 
 20 
 
 23655 
 
 34,7 
 
 25 
 
 20060 
 
 44,8 
 
 75 
 
 27197 
 
 7,9 
 
 25 
 
 23480 
 
 35,4 
 
 1 30 
 
 0-20283 
 
 + 44,4 
 
 380 
 
 0-27234 
 
 + 7,o 
 
 630 
 
 0-23301 
 
 -36,1 
 
 35 
 
 20504 
 
 44,o 
 
 85 
 
 27267 
 
 6,1 
 
 35 
 
 23119 
 
 36,8 
 
 40 
 
 20723 
 
 43,6 
 
 90 
 
 27295 
 
 5,' 
 
 4O 
 
 22933 
 
 37,5 
 
 45 
 
 20940 
 
 43,i 
 
 95 
 
 273'S 
 
 4> 2 
 
 45 
 
 22744 
 
 38,1 
 
 50 
 
 21154 
 
 42,6 
 
 4-OO 
 
 27337 
 
 3,3 
 
 so 
 
 22552 
 
 38,7 
 
 1 55 
 
 0-21366 
 
 + 42,' 
 
 405 
 
 0-27351 
 
 + 2,3 
 
 655 
 
 0-22357 
 
 -39,3 
 
 60 
 
 21575 
 
 4',5 
 
 1O 
 
 27360 
 
 ',4 
 
 6O 
 
 22159 
 
 39,9 
 
 65 
 
 21781 
 
 40,9 
 
 15 
 
 27365 
 
 + o,5 
 
 65 
 
 21958 
 
 40,5 
 
 7O 
 
 21984 
 
 4,3 
 
 2O 
 
 27365 
 
 - o,5 
 
 7O 
 
 21754 
 
 41,0 
 
 75 
 
 22184 
 
 39,7 
 
 25 
 
 27360 
 
 ',5 
 
 75 
 
 21548 
 
 4',5 
 
 1 80 
 
 O'2238l 
 
 + 39,' 
 
 4-3O 
 
 0-27350 
 
 - 2,4 
 
 680 
 
 0-21339 
 
 -42,1 
 
 85 
 
 22575 
 
 38,5 
 
 35 
 
 27336 
 
 3,3 
 
 85 
 
 21127 
 
 42,6 
 
 90 
 
 22766 
 
 37,9 
 
 4O 
 
 27317 
 
 4>3 
 
 90 
 
 20913 
 
 43,' 
 
 95 
 
 22954 
 
 37,3 
 
 45 
 
 27293 
 
 5,3 
 
 95 
 
 20696 
 
 43,6 
 
 200 
 
 23139 
 
 36,7 
 
 50 
 
 27264 
 
 6,2 
 
 7-OO 
 
 20477 
 
 43,9 
 
 2-O5 
 
 0-23321 
 
 + 36,1 
 
 4-55 
 
 0-27231 
 
 - 7,i 
 
 705 
 
 0-20257 
 
 -44,3 
 
 10 
 
 23500 
 
 35,4 
 
 60 
 
 27193 
 
 8,' 
 
 1O 
 
 20034 
 
 44,9 
 
 15 
 
 23675 
 
 34,7 
 
 65 
 
 27150 
 
 9,o 
 
 15 
 
 19808 
 
 45,4 
 
 20 
 
 23847 
 
 34,o 
 
 70 
 
 27103 
 
 9,9 
 
 2O 
 
 19580 
 
 45,8 
 
 25 
 
 24015 
 
 33,3 
 
 75 
 
 27051 
 
 10,9 
 
 25 
 
 19350 
 
 46,1 
 
 230 
 
 0-24180 
 
 + 32,7 
 
 48O 
 
 0-26994 
 
 - 11,8 
 
 730 
 
 0-19119 
 
 -46,4 
 
 35 
 
 24342 
 
 32,0 
 
 85 
 
 26933 
 
 '2,7 
 
 35 
 
 18886 
 
 46,8 
 
 40 
 
 24500 
 
 3',2 
 
 90 
 
 26867 
 
 13,6 
 
 4O 
 
 18651 
 
 47,2 
 
 45 
 
 24654 
 
 30,4 
 
 95 
 
 26797 
 
 '4,5 
 
 45 
 
 18414 
 
 47,5 
 
 250 
 
 0-24804 
 
 + 29,6 
 
 5OO 
 
 0-26722 
 
 -'5,4 
 
 7-50 
 
 0-18176 
 
 -47,8 
 
 
 
 
 I 
 
 
 
 260 
 
 Applied Constant : +o'i4cxx>. 
 
SATELLITE IV 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 XXXI continued Equation of Latitude Argument M 
 
 I 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 I 
 
 2 
 
 3 
 
 M 
 
 Equation 
 
 A 
 O d- OI 
 
 M 
 
 Equation 
 
 A 
 O d 'OI 
 
 M 
 
 Equation 
 
 A 
 
 o d -oi 
 
 M 
 
 Equation 
 
 1 
 
 A 
 O d 'OI 
 
 M 
 
 Equation 
 
 A 
 
 d 
 
 
 
 d 
 
 
 
 d 
 
 
 
 d 
 
 
 
 d 
 
 
 
 7 50 
 
 0-18176 
 
 -47,8 
 
 1O-OO 
 
 0-06194 
 
 -4,9 
 
 12-50 
 
 0-00635 
 
 - 0,3 
 
 1500 
 
 0-06067 
 
 +40,6 
 
 1750 
 
 0-18025 
 
 + 48,1 
 
 55 
 
 17936 
 
 48,1 
 
 05 
 
 599' 
 
 40,3 
 
 55 
 
 636 
 
 + 0,6 
 
 OS 
 
 6271 
 
 4',' 
 
 55 
 
 18265 
 
 47,8 
 
 60 
 
 17695 
 
 48,3 
 
 10 
 
 579' 
 
 39,7 
 
 60 
 
 641 
 
 1,5 
 
 10 
 
 6478 
 
 41,6 
 
 60 
 
 18503 
 
 47,4 
 
 65 
 
 '7453 
 
 48,6 
 
 15 
 
 5594 
 
 39, 
 
 65 
 
 65. 
 
 *,5 
 
 15 
 
 6687 
 
 42,' 
 
 65 
 
 18739 
 
 47,o 
 
 7O 
 
 17209 
 
 48,9 
 
 20 
 
 5401 
 
 38,4 
 
 70 
 
 666 
 
 3,5 
 
 20 
 
 6899 
 
 42,6 
 
 70 
 
 18973 
 
 46,6 
 
 75 
 
 16964 
 
 49, ' 
 
 25 
 
 5210 
 
 37,9 
 
 75 
 
 686 
 
 4,5 
 
 25 
 
 7"3 
 
 43,' 
 
 75 
 
 19205 
 
 46,3 
 
 780 
 
 0-16718 
 
 -49,3 
 
 1030 
 
 0-05022 
 
 -37,3 
 
 12-80 
 
 0-00711 
 
 + 5,4 
 
 15-30 
 
 0-07330 
 
 + 43,6 
 
 1780 
 
 0*19436 
 
 + 45,9 
 
 85 
 
 16471 
 
 49,5 
 
 35 
 
 4837 
 
 36,7 
 
 85 
 
 740 
 
 6,3 
 
 35 
 
 7549 
 
 44,o 
 
 85 
 
 19664 
 
 45,5 
 
 90 
 
 16223 
 
 49,6 
 
 40 
 
 4655 
 
 36,0 
 
 90 
 
 774 
 
 7,3 
 
 40 
 
 777 
 
 44,5 
 
 90 
 
 19891 
 
 45,' 
 
 95 
 
 15975 
 
 49,7 
 
 45 
 
 4477 
 
 35,3 
 
 95 
 
 813 
 
 8,2 
 
 45 
 
 7994 
 
 45, 
 
 95 
 
 20115 
 
 44,7 
 
 8 00 
 
 15726 
 
 49,9 
 
 50 
 
 4302 
 
 34,6 
 
 1300 
 
 856 
 
 9,1 
 
 50 
 
 8220 
 
 45,4 
 
 1800 
 
 20338 
 
 44,3 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 805 
 
 0-15476 
 
 -50,0 
 
 1O-55 
 
 0-04131 
 
 -33,9 
 
 13 'OS 
 
 0*00904 
 
 + 10,1 
 
 1555 
 
 0-08448 
 
 + 45,8 
 
 1805 
 
 0*20558 
 
 + 43,9 
 
 1O 
 
 15226 
 
 50,1 
 
 60 
 
 39 6 3 
 
 33,2 
 
 1O 
 
 957 
 
 11,0 
 
 60 
 
 8678 
 
 46,2 
 
 1O 
 
 20777 
 
 43,5 
 
 15 
 
 '4975 
 
 50,2 
 
 65 
 
 3799 
 
 32,5 
 
 15 
 
 1014 
 
 ",9 
 
 65 
 
 8910 
 
 46,6 
 
 15 
 
 20993 
 
 43,o 
 
 20 
 
 14724 
 
 50,2 
 
 70 
 
 3638 
 
 
 20 
 
 1076 
 
 12,8 
 
 7O 
 
 9144 
 
 46,9 
 
 20 
 
 21207 
 
 42,5 
 
 25 
 
 '4473 
 
 5,3 
 
 75 
 
 
 3', 
 
 25 
 
 1142 
 
 '3,7 
 
 75 
 
 9379 
 
 47,2 
 
 25 
 
 21418 
 
 4',9 
 
 830 
 
 0*14221 
 
 -5,4 
 
 1080 
 
 0-03328 
 
 -30,3 
 
 1330 
 
 0-01213 
 
 + M.6 
 
 15 'SO 
 
 0-09616 
 
 + 47,5 
 
 1830 
 
 0*21626 
 
 + 4',4 
 
 35 
 
 13969 
 
 50,4 
 
 85 
 
 3178 
 
 29,6 
 
 35 
 
 1288 
 
 '5,5 
 
 85 
 
 09854 
 
 47,8 
 
 35 
 
 21832 
 
 40,8 
 
 4O 
 
 13717 
 
 50,3 
 
 90 
 
 3032 
 
 28,8 
 
 40 
 
 1368 
 
 1 6,4 
 
 90 
 
 10094 
 
 48,' 
 
 40 
 
 22034 
 
 40,1 
 
 45 
 
 13466 
 
 50,2 
 
 95 
 
 2890 
 
 28,0 
 
 45 
 
 H52 
 
 '7,3 
 
 95 
 
 10335 
 
 48,4 
 
 45 
 
 22233 
 
 39,5 
 
 50 
 
 13215 
 
 50,2 
 
 11 00 
 
 2752 
 
 27,2 
 
 50 
 
 1541 
 
 18,2 
 
 1600 
 
 10578 
 
 48,7 
 
 50 
 
 22429 
 
 39,o 
 
 855 
 
 0*12964 
 
 -50,2 
 
 11 05 
 
 0-02618 
 
 - 26,4 
 
 1355 
 
 0-01634 
 
 + 19,1 
 
 1605 
 
 0-10822 
 
 + 48.9 
 
 18-55 
 
 0*22623 
 
 + 38,5 
 
 60 
 
 12713 
 
 5,' 
 
 10 
 
 2488 
 
 25,6 
 
 60 
 
 '732 
 
 20,0 
 
 10 
 
 i 1067 
 
 49-' 
 
 6O 
 
 22814 
 
 37,8 
 
 65 
 
 12463 
 
 50,0 
 
 15 
 
 2362 
 
 24,8 
 
 65 
 
 '834 
 
 20,9 
 
 15 
 
 11313 
 
 49,3 
 
 65 
 
 23001 
 
 37,o 
 
 70 
 75 
 
 12213 
 *i 1964 
 
 49,9 
 49,7 
 
 20 
 25 
 
 2240 
 2123 
 
 *3,9 
 23,0 
 
 7O 
 75 
 
 1941 
 2052 
 
 21,8 
 22,6 
 
 20 
 
 25 
 
 11560 
 11808 
 
 49,5 
 49,7 
 
 7O 
 75 
 
 23184 
 23366 
 
 36,5 
 36,0 
 
 8-80 
 
 0-11716 
 
 -49,5 
 
 11 30 
 
 O-O2OIO 
 
 -22,2 
 
 1380 
 
 0-02167 
 
 + 2 3>4 
 
 16-30 
 
 0-12057 
 
 + 49,8 
 
 1880 
 
 0-23544 
 
 + 35,2 
 
 85 
 
 90 
 
 11469 
 
 II222 
 
 49,4 
 49,3 
 
 35 
 4O 
 
 1901 
 
 1796 
 
 21,4 
 20,5 
 
 85 
 90 
 
 2286 
 2409 
 
 24,2 
 
 25,0 
 
 35 
 40 
 
 12306 
 12556 
 
 49,9 
 50,0 
 
 85 
 9O 
 
 23718 
 23889 
 
 34,5 
 33,8 
 
 95 
 
 10976 
 
 49-' 
 
 45 
 
 1696 
 
 9,6 
 
 95 
 
 2536 
 
 25,8 
 
 45 
 
 12806 
 
 5,' 
 
 95 
 
 24056 
 
 33,' 
 
 9 00 
 
 I073I 
 
 48,8 
 
 50 
 
 1600 
 
 1 8,8 
 
 1400 
 
 2667 
 
 26,6 
 
 50 
 
 13057 
 
 50,2 
 
 19 OO 
 
 24220 
 
 32,6 
 
 9 05 
 
 OMO488 
 
 -48,5 
 
 11-55 
 
 0-01508 
 
 -'7,9 
 
 14-05 
 
 0-02802 
 
 + 27,4 
 
 1655 
 
 0-13308 
 
 + 50,2 
 
 1905 
 
 0-24382 
 
 + 3',9 
 
 1O 
 15 
 2O 
 25 
 
 10246 
 IOO05 
 09766 
 09528 
 
 48,3 
 48,0 
 
 47,7 
 47,5 
 
 6O 
 65 
 70 
 75 
 
 1421 
 
 1338 
 
 1260 
 1186 
 
 17,0 
 '6,1 
 
 '5,2 
 
 10 
 15 
 20 
 25 
 
 2941 
 
 3084 
 
 323' 
 3382 
 
 28,2 
 29,0 
 29,8 
 30,6 
 
 60 
 65 
 70 
 75 
 
 '3559 
 13810 
 14062 
 '43'4 
 
 5,2 
 5,3 
 50,4 
 50,3 
 
 10 
 15 
 20 
 25 
 
 24539 
 24692 
 
 24841 
 24986 
 
 3', 
 30,2 
 
 2 9,4 
 28,6 
 
 930 
 35 
 4O 
 45 
 
 50 
 
 0-09291 
 9056 
 8823 
 8592 
 8363 
 
 -47,2 
 46,8 
 
 4 6 ,4 
 46,0 
 
 45,6 
 
 11 -SO 
 85 
 
 90 
 95 
 
 1200 
 
 1052 
 992 
 937 
 886 
 
 -'3,4 
 
 '2,5 
 
 1 0,6 
 
 9-7 
 
 14-30 
 35 
 40 
 45 
 50 
 
 0-03537 
 3696 
 
 3859 
 4025 
 
 4194 
 
 + 3',4 
 32,2 
 32,9 
 33,5 
 
 34> 2 
 
 1680 
 85 
 90 
 95 
 1700 
 
 0-14565 
 14816 
 15067 
 15318 
 15568 
 
 + 5-* 
 50,2 
 50,2 
 50,1 
 
 50,0 
 
 19'30 
 35 
 40 
 45 
 50 
 
 0-25127 
 25264 
 
 25397 
 25526 
 25651 
 
 + 27,8 
 
 27,0 
 26,2 
 
 25,4 
 24,6 
 
 955 
 60 
 65 
 70 
 
 75 
 
 OX)8l36 
 
 79" 
 
 7688 
 
 7467 
 7249 
 
 -45,2 
 44,8 
 44,4 
 43,9 
 43,4 
 
 12 'OS 
 1O 
 15 
 2O 
 25 
 
 0-00840 
 
 79 s 
 761 
 
 729 
 
 702 
 
 - 8,8 
 7,9 
 6,9 
 5,9 
 
 14-55 
 60 
 65 
 70 
 
 75 
 
 0-04367 
 
 4543 
 4722 
 4905 
 5091 
 
 + 34,9 
 35,5 
 36,2 
 
 36,9 
 37,5 
 
 17 05 
 1O 
 15 
 20 
 25 
 
 0-15818 
 16067 
 16315 
 16562 
 16809 
 
 + 49,9 
 49,7 
 49,5 
 49,4 
 49>2 
 
 1955 
 60 
 65 
 70 
 75 
 
 0-25772 
 25889 
 26002 
 26112 
 26216 
 
 + 23,8 
 23,0 
 
 22,3 
 
 21,4 
 
 20,3 
 
 980 
 85 
 90 
 95 
 
 1000 
 
 0-07033 
 6819 
 6608 
 6400 
 0*06194 
 
 -43,o 
 42,5 
 4',9 
 
 4',4 
 -40,9 
 
 1230 
 35 
 4O 
 45 
 
 so 
 
 0-00679 
 661 
 648 
 639 
 0-00635 
 
 3,' 
 
 2,2 
 ',3 
 
 - 0,3 
 
 1480 
 85 
 90 
 95 
 15-00 
 
 0-05280 
 5472 
 5667 
 5865 
 0-06067 
 
 + 38,1 
 38,7 
 39,3 
 40,0 
 + 40,6 
 
 1730 
 35 
 40 
 45 
 5O 
 
 0-17054 
 17298 
 17542 
 17784 
 0^18025 
 
 + 48,9 
 48,8 
 
 48,6 
 48,3 
 + 48,' 
 
 _ ^ 
 
 1980 
 85 
 90 
 95 
 2000 
 
 0-26315 
 26411 
 26502 
 26589 
 0-26672 
 
 + '9,5 
 1 8,7 
 17,8 
 17,0 
 + 16,2 
 
 Applied Constant : -I-O'MOOO. 
 261 
 
XXXII 
 
 SATELLITE IV 
 
 Tables of Longitude, Latitude, and 
 
 Equation of Latitude 
 
 Radius Vector 
 
 Argument N 
 
 I 
 
 2 
 
 3 
 
 
 
 2 
 
 3 
 
 . 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 N 
 
 Equation 
 
 A 
 
 N 
 
 Equation 
 
 A 
 
 N 
 
 Equation 
 
 A 
 
 N 
 
 Equation 
 
 A 
 
 d 
 
 
 
 d 
 
 
 
 d 
 
 
 
 d 
 
 
 
 00 
 
 0*01680 
 
 - 55 
 
 5-0 
 
 0-00295 
 
 + '7 
 
 100 
 
 0-02532 
 
 + 45 
 
 150 
 
 0-02542 
 
 45 
 
 1 
 
 1625 
 
 55 
 
 1 
 
 3'3 
 
 '9 
 
 1 
 
 2576 
 
 43 
 
 1 
 
 2497 
 
 46 
 
 2 
 
 1570 
 
 55 
 
 2 
 
 333 
 
 21 
 
 2 
 
 2618 
 
 42 
 
 2 
 
 2451 
 
 47 
 
 3 
 
 1516 
 
 55 
 
 3 
 
 355 
 
 23 
 
 3 
 
 2659 
 
 4 1 
 
 3 
 
 2404 
 
 48 
 
 4 
 
 1461 
 
 55 
 
 4 
 
 379 
 
 25 
 
 4 
 
 2699 
 
 39 
 
 4 
 
 2356 
 
 49 
 
 5 
 
 1407 
 
 54 
 
 5 
 
 404 
 
 26 
 
 5 
 
 2737 
 
 38 
 
 5 
 
 2307 
 
 5 
 
 06 
 
 0-01353 
 
 54 
 
 56 
 
 0-00431 
 
 + 28 
 
 106 
 
 0-02774 
 
 + 36 
 
 156 
 
 0-02257 
 
 - 5i 
 
 7 
 
 1300 
 
 53 
 
 7 
 
 460 
 
 3 
 
 7 
 
 2809 
 
 35 
 
 7 
 
 2206 
 
 5 1 
 
 8 
 
 1248 
 
 5* 
 
 8 
 
 491 
 
 32 
 
 8 
 
 2843 
 
 33 
 
 8 
 
 2155 
 
 52 
 
 9 
 
 1 196 
 
 52 
 
 9 
 
 523 
 
 33 
 
 9 
 
 2875 
 
 32 
 
 9 
 
 2103 
 
 53 
 
 10 
 
 1144 
 
 52 
 
 60 
 
 557 
 
 35 
 
 110 
 
 2906 
 
 3 
 
 160 
 
 2050 
 
 53 
 
 1-1 
 
 0-01093 
 
 - 5' 
 
 6-1 
 
 0-00593 
 
 + 37 
 
 11-1 
 
 0-02935 
 
 + 28 
 
 16-1 
 
 0-01997 
 
 54 
 
 2 
 
 i43 
 
 50 
 
 2 
 
 63, 
 
 38 
 
 2 
 
 2962 
 
 26 
 
 2 
 
 1943 
 
 55 
 
 3 
 
 994 
 
 49 
 
 3 
 
 669 
 
 39 
 
 3 
 
 2987 
 
 25 
 
 3 
 
 1888 
 
 55 
 
 4 
 
 946 
 
 48 
 
 4 
 
 709 
 
 4 1 
 
 4 
 
 301 1 
 
 23 
 
 4 
 
 1834 
 
 54 
 
 5 
 
 899 
 
 46 
 
 5 
 
 750 
 
 42 
 
 5 
 
 3032 
 
 20 
 
 5 
 
 1780 
 
 55 
 
 1-6 
 
 0-00854 
 
 - 45 
 
 66 
 
 0-00793 
 
 + 44 
 
 11-6 
 
 0-03051 
 
 + '9 
 
 166 
 
 0-01725 
 
 - 55 
 
 7 
 
 810 
 
 44 
 
 7 
 
 837 
 
 45 
 
 7 
 
 3069 
 
 17 
 
 7 
 
 1670 
 
 55 
 
 8 
 
 767 
 
 43 
 
 8 
 
 882 
 
 46 
 
 8 
 
 3084 
 
 14 
 
 8 
 
 1616 
 
 55 
 
 9 
 
 725 
 
 42 
 
 9 
 
 928 
 
 47 
 
 9 
 
 3097 
 
 12 
 
 9 
 
 1561 
 
 55 
 
 20 
 
 684 
 
 40 
 
 7'O 
 
 975 
 
 48 
 
 120 
 
 3108 
 
 II 
 
 17 O 
 
 1507 
 
 54 
 
 2-1 
 
 0-00645 
 
 - 39 
 
 7'1 
 
 0-01023 
 
 + 49 
 
 121 
 
 0-03118 
 
 + 9 
 
 171 
 
 0-01453 
 
 - 55 
 
 2 
 
 607 
 
 37 
 
 2 
 
 1072 
 
 5 
 
 2 
 
 3126 
 
 7 
 
 2 
 
 1398 
 
 54 
 
 3 
 
 57i 
 
 36 
 
 3 
 
 lisa 
 
 51 
 
 3 
 
 3!3i 
 
 5 
 
 3 
 
 !345 
 
 53 
 
 4 
 
 536 
 
 34 
 
 4 
 
 "73 
 
 5 2 
 
 4 
 
 3136 
 
 + 2 
 
 4 
 
 1292 
 
 53 
 
 5 
 
 503 
 
 32 
 
 5 
 
 1225 
 
 52 
 
 5 
 
 3136 
 
 O 
 
 5 
 
 1239 
 
 S 2 
 
 26 
 
 0-00472 
 
 - 3' 
 
 76 
 
 0-01277 
 
 + 53 
 
 126 
 
 0-03136 
 
 - 2 
 
 176 
 
 0-01188 
 
 - 52 
 
 7 
 
 442 
 
 29 
 
 7 
 
 133 
 
 54 
 
 7 
 
 3133 
 
 5 
 
 7 
 
 1136 
 
 5 2 
 
 8 
 
 414 
 
 27 
 
 8 
 
 1384 
 
 54 
 
 8 
 
 3127 
 
 7 
 
 8 
 
 1085 
 
 5 1 
 
 9 
 
 388 
 
 26 
 
 9 
 
 1438 
 
 54 
 
 9 
 
 3120 
 
 8 
 
 9 
 
 1035 
 
 50 
 
 3-0 
 
 363 
 
 M 
 
 80 
 
 1492 
 
 54 
 
 130 
 
 3111 
 
 10 
 
 ISO 
 
 986 
 
 49 
 
 31 
 
 0-00340 
 
 - 22 
 
 81 
 
 0-01546 
 
 + 55 
 
 131 
 
 0-03100 
 
 12 
 
 181 
 
 0-00938 
 
 - 47 
 
 2 
 
 319 
 
 20 
 
 2 
 
 1601 
 
 55 
 
 2 
 
 3087 
 
 '4 
 
 2 
 
 892 
 
 46 
 
 3 
 
 301 
 
 17 
 
 3 
 
 1656 
 
 55 
 
 3 
 
 3072 
 
 16 
 
 3 
 
 847 
 
 45 
 
 4 
 
 286 
 
 IS 
 
 4 
 
 1711 
 
 56 
 
 4 
 
 355 
 
 18 
 
 4 
 
 802 
 
 44 
 
 5 
 
 271 
 
 H 
 
 5 
 
 1767 
 
 56 
 
 5 
 
 3036 
 
 20 
 
 5 
 
 759 
 
 4 Z 
 
 36 
 
 0-00258 
 
 - 12 
 
 86 
 
 0-01822 
 
 + 55 
 
 136 
 
 0-03015 
 
 22 
 
 18-6 
 
 0-007 1 8 
 
 - 4i 
 
 7 
 
 248 
 
 IO 
 
 7 
 
 1876 
 
 54 
 
 7 
 
 2992 
 
 24 
 
 7 
 
 678 
 
 4 
 
 8 
 
 239 
 
 8 
 
 8 
 
 1930 
 
 54 
 
 8 
 
 2967 
 
 26 
 
 8 
 
 639 
 
 39 
 
 9 
 
 232 
 
 6 
 
 9 
 
 1984 
 
 54 
 
 9 
 
 2941 
 
 27 
 
 9 
 
 60 1 
 
 37 
 
 4O 
 
 227 
 
 4 
 
 90 
 
 2038 
 
 54 
 
 140 
 
 29'3 
 
 2 9 
 
 19-0 
 
 565 
 
 35 
 
 4-1 
 
 0-00225 
 
 2 
 
 9-1 
 
 0-02091 
 
 + 53 
 
 14-1 
 
 0-02883 
 
 - 31 
 
 19-1 
 
 0-00531 
 
 - 34 
 
 2 
 
 224 
 
 + I 
 
 2 
 
 2H3 
 
 S 2 
 
 2 
 
 2852 
 
 32 
 
 2 
 
 498 
 
 33 
 
 3 
 
 226 
 
 3 
 
 3 
 
 2195 
 
 52 
 
 3 
 
 2819 
 
 34 
 
 3 
 
 466 
 
 3' 
 
 4 
 
 229 
 
 5 
 
 4 
 
 2246 
 
 Si 
 
 4 
 
 2784 
 
 36 
 
 4 
 
 436 
 
 29 
 
 5 
 
 235 
 
 7 
 
 5 
 
 2296 
 
 5 
 
 5 
 
 2747 
 
 38 
 
 5 
 
 408 
 
 27 
 
 4-6 
 
 0-00243 
 
 + 9 
 
 96 
 
 0-02345 
 
 + 49 
 
 146 
 
 0-02708 
 
 - 39 
 
 19-6 
 
 0-00382 
 
 - 25 
 
 7 
 
 253 
 
 ii 
 
 7 
 
 2393 
 
 48 
 
 7 
 
 2669 
 
 40 
 
 7 
 
 359 
 
 23 
 
 8 
 
 265 
 
 '3 
 
 8 
 
 2440 
 
 47 
 
 8 
 
 2628 
 
 42 
 
 8 
 
 337 
 
 21 
 
 9 
 
 279 
 
 15 
 
 9 
 
 2486 
 
 46 
 
 9 
 
 2586 
 
 43 
 
 9 
 
 3 J 7 
 
 2O 
 
 50 
 
 0-00295 
 
 + 17 
 
 TOO 
 
 0-02532 
 
 + 45 
 
 150 
 
 0-02542 
 
 - 45 
 
 200 
 
 0-00298 
 
 - 18 
 
 Applied Constant : +0-01680. 
 262 
 
SATELLITE IV 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 Equations of Latitude 
 
 XXXIII 
 
 XXXIV 
 
 XXXV 
 
 I 
 
 2 
 
 3 
 
 I 
 
 2 
 
 3 
 
 
 
 Equation 
 
 A 
 
 O 
 
 Equation 
 
 A 
 
 d 
 00 
 
 0-00220 
 
 + 8 
 
 d 
 
 1O-O | 0-00099 
 
 - 7 
 
 
 
 
 
 
 2 
 
 235 
 
 8 
 
 102 
 
 86 
 
 6 
 
 4 
 
 252 
 
 8 
 
 4 
 
 74 
 
 6 
 
 6 
 
 268 
 
 8 
 
 6 
 
 62 
 
 6 
 
 8 
 
 284 
 
 8 
 
 8 
 
 52 
 
 5 
 
 10 
 
 299 
 
 8 
 
 11 O 
 
 42 
 
 5 
 
 12 
 
 0-00314 
 
 + 7 
 
 11-2 
 
 0-00033 
 
 - 4 
 
 4 
 
 328 
 
 7 
 
 4 
 
 26 
 
 4 
 
 6 
 
 34 2 
 
 7 
 
 6 
 
 '9 
 
 3 
 
 8 
 
 355 
 
 6 
 
 8 
 
 
 2 
 
 20 
 
 367 
 
 6 
 
 12 O 
 
 10 
 
 2 
 
 2-2 
 
 0-00378 
 
 + 6 
 
 12-2 
 
 0-00007 
 
 - I 
 
 4 
 
 389 
 
 5 
 
 4 
 
 5 
 
 - I 
 
 6 
 
 398 
 
 5 
 
 6 
 
 4 
 
 O 
 
 8 
 
 407 
 
 4 
 
 8 
 
 
 + I 
 
 30 
 
 414 
 
 4 
 
 130 
 
 6 
 
 I 
 
 3-2 
 
 0-00421 
 
 + 3 
 
 132 
 
 0-00009 
 
 + 2 
 
 4 
 
 426 
 
 3 
 
 4 
 
 13 
 
 2 
 
 6 
 
 431 
 
 2 
 
 6 1 8 
 
 3 
 
 8 
 
 434 
 
 I 
 
 8 
 
 2 5 
 
 4 
 
 4-0 
 
 435 
 
 + I 
 
 140 
 
 32 
 
 4 
 
 4-2 
 
 0-00436 
 
 O 
 
 142 
 
 0-00041 
 
 + 5 
 
 4 
 
 435 
 
 - I 
 
 4 
 
 5 
 
 5 
 
 6 
 
 434 
 
 I 
 
 6 
 
 61 
 
 6 
 
 8 
 
 43' 
 
 2 
 
 8 
 
 7 2 
 
 6 
 
 50 
 
 426 
 
 3 
 
 150 
 
 84 
 
 6 
 
 52 
 
 0-00421 
 
 - 3 
 
 152 
 
 0-00097 
 
 + 7 
 
 4 
 
 4'5 
 
 4 
 
 4 
 
 in 
 
 7 
 
 6 
 
 407 
 
 4 
 
 6 
 
 125 
 
 7 
 
 8 
 
 399 
 
 5 
 
 8 
 
 140 
 
 8 
 
 60 
 
 389 
 
 5 
 
 160 
 
 155 
 
 8 
 
 62 
 
 0-00379 
 
 - 6 
 
 162 
 
 0-00171 
 
 + 8 
 
 4 
 
 367 
 
 6 
 
 4 
 
 1 86 
 
 8 
 
 6 
 
 355 
 
 6 
 
 6 
 
 202 
 
 8 
 
 8 
 
 34 2 
 
 7 
 
 8 
 
 218 
 
 8 
 
 70 
 
 3 2 9 
 
 7 
 
 17-0 
 
 2 35 
 
 8 
 
 72 
 
 0-00314 
 
 - 8 
 
 172 
 
 0-00251 
 
 + 8 
 
 4 
 
 299 
 
 8 
 
 4 
 
 267 
 
 8 
 
 6 
 
 284 
 
 8 
 
 6 
 
 282 
 
 8 
 
 8 
 
 269 
 
 8 
 
 8 
 
 297 
 
 8 
 
 80 
 
 253 
 
 8 
 
 180 
 
 312 
 
 7 
 
 82 
 
 0-00237 
 
 - 8 
 
 182 
 
 0-00326 
 
 + 7 
 
 4 
 
 221 
 
 8 
 
 4 
 
 34 
 
 7 
 
 6 
 
 205 
 
 8 
 
 6 
 
 353 
 
 7 
 
 8 
 
 189 
 
 8 
 
 8 
 
 366 
 
 6 
 
 90 
 
 '73 
 
 8 
 
 19 O 
 
 377 
 
 6 
 
 92 
 
 O-OOI57 
 
 - 8 
 
 19-2 
 
 0-00388 
 
 + 5 
 
 4 
 
 142 
 
 8 
 
 4 
 
 398 
 
 5 
 
 6 
 
 127 
 
 7 
 
 6 
 
 406 
 
 4 
 
 8 
 
 H3 
 
 7 
 
 8 
 
 414 
 
 4 
 
 100 
 
 O-OOOgg 
 
 7 
 
 200 
 
 0*00420 
 
 + 3 
 
 
 
 
 I 
 
 
 
 i 
 
 2 
 
 P 
 
 Equation 
 
 d 
 
 o-o 
 
 0-00030 
 
 0-4 
 
 34 
 
 08 
 
 37 
 
 12 
 
 4 
 
 1'6 
 
 44 
 
 20 
 
 47 
 
 24 
 
 0-00049 
 
 28 
 
 S 1 
 
 32 
 
 53 
 
 36 
 
 54 
 
 40 
 
 55 
 
 4-4 
 
 0-00055 
 
 4-8 
 
 54 
 
 5'2 
 
 53 
 
 5-6 
 
 5 2 
 
 60 
 
 5 
 
 6'4 
 
 0-00047 
 
 68 
 
 44 
 
 72 
 
 4' 
 
 7'6 
 
 38 
 
 80 
 
 34 
 
 8'4 
 
 0-00030 
 
 8-8 
 
 2 7 
 
 92 
 
 23 
 
 96 
 
 20 
 
 100 
 
 16 
 
 10-4 
 
 0-00013 
 
 10-8 
 
 u 
 
 112 
 
 9 
 
 116 
 
 7 
 
 120 
 
 6 
 
 12-4 
 
 0-00005 
 
 12'S 
 
 5 
 
 13-2 
 
 5 
 
 13-6 
 
 6 
 
 140 
 
 8 
 
 14'4 
 
 O'OOOIO 
 
 14-8 
 
 12 
 
 15'2 
 
 15 
 
 15'6 
 
 if 
 
 160 
 
 22 
 
 164 
 
 0-OOO26 
 
 16-8 
 
 2 9 
 
 172 
 
 33 
 
 176 
 
 37 
 
 180 
 
 40 
 
 184 
 
 0-00043 
 
 188 
 
 46 
 
 19'2 
 
 49 
 
 196 
 
 5i 
 
 200 
 
 0-00053 
 
 I 
 
 2 
 
 Q 
 
 Equation 
 
 d 
 00 
 
 0-00040 
 
 04 
 
 45 
 
 08 
 
 49 
 
 1-2 
 
 53 
 
 16 
 
 57 
 
 20 
 
 61 
 
 24 
 
 0-00064 
 
 2-8 
 
 66 
 
 3-2 
 
 68 
 
 3'6 
 
 69 
 
 40 
 
 70 
 
 44 
 
 0-00070 
 
 4-8 
 
 70 
 
 52 
 
 68 
 
 56 
 
 66 
 
 60 
 
 63 
 
 64 
 
 0-00060 
 
 6-8 
 
 56 
 
 72 
 
 5 2 
 
 76 
 
 48 
 
 8-0 
 
 44 
 
 84 
 
 0-00039 
 
 88 
 
 35 
 
 9-2 
 
 3 
 
 96 
 
 26 
 
 10 O 
 
 22 
 
 104 
 
 O-OOOI9 
 
 108 
 
 16 
 
 112 
 
 '3 
 
 116 
 
 12 
 
 12-0 
 
 IO 
 
 124 
 
 o-oooio 
 
 128 
 
 10 
 
 132 
 
 1 1 
 
 136 
 
 13 
 
 140 
 
 15 
 
 14-4 
 
 0-00018 
 
 14-8 
 
 21 
 
 152 
 
 25 
 
 156 
 
 2 9 
 
 16-0 
 
 33 
 
 16-4 
 
 0-00037 
 
 168 
 
 42 
 
 172 
 
 46 
 
 176 
 
 5' 
 
 180 
 
 55 
 
 18-4 
 
 0-00059 
 
 18-8 
 
 62 
 
 192 
 
 65 
 
 196 
 
 67 
 
 200 
 
 0-00069 
 
 XXXVI 
 
 i 
 
 2 
 
 R 
 
 Equation 
 
 d 
 00 
 
 0-00030 
 
 0-4 
 
 26 
 
 0-8 
 
 21 
 
 12 
 
 "7 
 
 1-6 
 
 '4 
 
 20 
 
 10 
 
 24 
 
 0-00007 
 
 2-8 
 
 5 
 
 32 
 
 3 
 
 36 
 
 2 
 
 40 
 
 I 
 
 44 
 
 O'OOOOI 
 
 48 
 
 2 
 
 5-2 
 
 3 
 
 56 
 
 5 
 
 60 
 
 7 
 
 64 
 
 O'OOOIO 
 
 68 
 
 4 
 
 72 
 
 18 
 
 7-6 
 
 22 
 
 80 
 
 26 
 
 84 
 
 O-OOO3O 
 
 88 
 
 35 
 
 9-2 
 
 39 
 
 96 
 
 43 
 
 10-0 
 
 47 
 
 104 
 
 0-00050 
 
 108 
 
 53 
 
 11-2 
 
 55 
 
 11-6 
 
 57 
 
 120 
 
 58 
 
 124 
 
 0-00059 
 
 12-8 
 
 59 
 
 13-2 
 
 58 
 
 13-6 
 
 57 
 
 14-O 
 
 55 
 
 14-4 
 
 0-00052 
 
 14-8 
 
 49 
 
 152 
 
 46 
 
 156 
 
 42 
 
 16-0 
 
 38 
 
 164 
 
 0-00034 
 
 16-8 
 
 29 
 
 172 
 
 2 5 
 
 17-6 
 
 21 
 
 180 
 
 7 
 
 18-4 
 
 0-00013 
 
 18-8 
 
 10 
 
 19-2 
 
 7 
 
 196 
 
 5 
 
 200 
 
 0-00003 
 
 Applied Constant : -f-o'oozzo. 
 
 Constant; +0*00030. 
 
 263 
 
 Constant: +0^00040. 
 
 Constant : +o'ooo3o. 
 
SATELLITE IV 
 
 Tables of Longitude, Latitude, and Radius Vector 
 
 Equations of Latitude 
 
 XXXVII 
 Occultations and Transits 
 
 To correct for the Jovicentric Latitude of the Earth, the Satellite's Latitude as 
 derived from Tables XXX-XXXVI must be supplemented by the term 
 
 =fc '643593 R 1 sin(0-)/A 
 (9-808611) 
 
 |+0c. 
 
 Tr. 
 
 where Rj, A are the Geocentric Distances of the Sun and Jupiter respectively, and JX 
 the Longitude of the Ascending Node of Jupiter's Orbit on the Ecliptic. For Occulta- 
 tions employ the natural sign, for Transits the reversed sign. 
 
 XXXVIII 
 
 Correction of Latitude 
 for Shadows and Transits 
 
 XXXIX 
 
 Angle above Jupiter's Orbit 
 
 I 
 
 1 
 
 Lat. 
 
 Correction. 
 
 OS 
 
 - -00485 
 
 06 
 
 437 
 
 O7 
 
 388 
 
 O-8 
 
 340 
 
 0-9 
 
 291 
 
 1O 
 
 243 
 
 1'1 
 
 - -00194 
 
 2 
 
 146 
 
 3 
 
 97 
 
 4 
 
 49 
 
 5 
 
 
 
 6 
 
 + -00049 
 
 7 
 
 97 
 
 8 
 
 146 
 
 19 
 
 194 
 
 20 
 
 243 
 
 2-1 
 
 + -00291 
 
 2-2 
 
 340 
 
 23 
 
 388 
 
 24 
 
 437 
 
 2-5 
 
 + -00485 
 
 i 
 
 z 
 
 3 
 
 4 
 
 Lat. 
 
 Angle 
 
 Lat. 
 
 A 
 
 00 
 
 o 
 
 - 3-0496 + 
 
 SO 
 
 2030 
 
 01 
 
 2-8466 
 
 29 
 
 2031 
 
 02 
 
 2-6435 
 
 2-8 
 
 2031 
 
 O-3 
 
 2-4404 
 
 27 
 
 2031 
 
 0-4 
 
 2-2373 
 
 2-6 
 
 2032 
 
 OS 
 
 2-0341 
 
 2-5 
 
 2033 
 
 OS 
 
 - 1-8308 + 
 
 24 
 
 2033 
 
 O-7 
 
 1-6275 
 
 2-3 
 
 2033 
 
 O-8 
 
 1-4242 
 
 2-2 
 
 2034 
 
 O9 
 
 1-2208 
 
 21 
 
 2034 
 
 1O 
 
 I-OI75 
 
 2O 
 
 2035 
 
 1 
 
 - 0-8I39 + 
 
 9 
 
 2035 
 
 2 
 
 O-6lO5 
 
 8 
 
 2035 
 
 3 
 
 0-4070 
 
 7 
 
 2035 
 
 4 
 
 - 0-2035 + 
 
 6 
 
 2035 
 
 5 
 
 o'oooo 
 
 5 
 
 2035 
 
 This Correction to be applied to Latitude as 
 derived from Tables XXX-XXXVI, 
 before using as an Argument of Semi- 
 duration for Shadows and Transits. 
 
 This Table shows the Angle of the Radius Vector of the .Satellite above Jupiter's Orbit, 
 which corresponds to the Latitude as derived from Tables XXX XXXVI. 
 
SATELLITE IV 
 
 Tables 
 
 of the 
 
 Synodic Motion, 
 
 Duration of the Phenomena of Eclipse, 
 Occultation, Transit and Shadow-Transit, 
 
 with 
 
 Equations for Reduction to the Middle, 
 Corrections for Jupiter's Phase, 
 
 and the 
 
 Light-Curve of Eclipse 
 
 34 
 
SATELLITE IV 
 
 Tables of Synodic Motion 
 XL 
 
 I 
 
 2 
 
 i 
 
 2 
 
 I 
 
 2 
 
 i 
 
 2 
 
 i 
 
 2 
 
 Angle 
 
 Syn. Value 
 
 Angle 
 
 Syn. Value 
 
 Angle 
 
 Syn, Value 
 
 Angle 
 
 Syn. Value 
 
 Angle 
 
 Syn. Value 
 
 
 
 0000 
 
 d 
 O'OOOOOC 
 
 o 
 
 0020 
 
 d 
 
 0-000931 
 
 o 
 
 O-O4O 
 
 d 
 
 0-001862 
 
 o 
 
 0060 
 
 d 
 
 0-002792 
 
 o 
 
 0080 
 
 d 
 
 0-003723 
 
 1 
 
 47 
 
 21 
 
 977 
 
 41 
 
 1908 
 
 61 
 
 2839 
 
 81 
 
 377 
 
 2 
 
 93 
 
 22 
 
 1024 
 
 42 
 
 1955 
 
 62 
 
 2885 
 
 82 
 
 3816 
 
 3 
 
 140 
 
 23 
 
 1070 
 
 43 
 
 200 1 
 
 63 
 
 2932 
 
 83 
 
 3863 
 
 4 
 
 1 86 
 
 24 
 
 1117 
 
 44 
 
 2048 
 
 64 
 
 2978 
 
 84 
 
 399 
 
 5 
 
 *33 
 
 25 
 
 1 163 
 
 45 
 
 2094 
 
 65 
 
 3025 
 
 85 
 
 3956 
 
 0-006 
 
 0-000279 
 
 0026 
 
 O-OOI2IO 
 
 0046 
 
 0-002141 
 
 0066 
 
 0-003071 
 
 0086 
 
 0-004002 
 
 7 
 
 326 
 
 27 
 
 1257 
 
 47 
 
 2187 
 
 67 
 
 3118 
 
 87 
 
 4049 
 
 8 
 
 37* 
 
 28 
 
 1303 
 
 48 
 
 2234 
 
 68 
 
 3165 
 
 88 
 
 4095 
 
 9 
 
 419 
 
 29 
 
 "35 
 
 49 
 
 2280 
 
 69 
 
 3211 
 
 89 
 
 4142 
 
 1O 
 
 465 
 
 30 
 
 1396 
 
 50 
 
 2327 
 
 7O 
 
 3^8 
 
 90 
 
 4188 
 
 0011 
 
 0-000512 
 
 0031 
 
 O-OOI443 
 
 O-O51 
 
 0-002373 
 
 OO71 
 
 0-003304 
 
 0091 
 
 0-004235 
 
 12 
 
 558 
 
 32 
 
 1489 
 
 52 
 
 2420 
 
 72 
 
 335 1 
 
 92 
 
 4282 
 
 13 
 
 605 
 
 33 
 
 1536 
 
 53 
 
 2466 
 
 73 
 
 3397 
 
 93 
 
 4328 
 
 14 
 
 652 
 
 34 
 
 1582 
 
 54 
 
 2513 
 
 74 
 
 3444 
 
 94 
 
 4375 
 
 15 
 
 698 
 
 35 
 
 1629 
 
 55 
 
 2560 
 
 75 
 
 349 
 
 95 
 
 4421 
 
 0016 
 
 0-000745 
 
 0036 
 
 O'OOl675 
 
 0056 
 
 0-002606 
 
 0076 
 
 0-003537 
 
 0096 
 
 0-004468 
 
 17 
 
 791 
 
 37 
 
 1722 
 
 57 
 
 2653 
 
 77 
 
 3583 
 
 97 
 
 45H 
 
 18 
 
 838 
 
 38 
 
 1768 
 
 58 
 
 2699 
 
 78 
 
 3630 
 
 98 
 
 4561 
 
 19 
 
 884 
 
 39 
 
 1815 
 
 59 
 
 2746 
 
 79 
 
 3676 
 
 99 
 
 4607 
 
 0020 
 
 0-000931 
 
 0040 
 
 O'OOl862 
 
 OO6O 
 
 0-002792 
 
 0-080 
 
 0-003723 
 
 0100 
 
 0-004654 
 
 XLI 
 
 Angle 
 
 00 
 
 1 
 
 2 
 3 
 
 4 
 
 5 
 
 06 
 7 
 8 
 9 
 
 1O 
 
 Syn. Value 
 
 o-oooooo 
 
 4654 
 
 9308 
 
 13961 
 
 18615 
 
 23269 
 
 0-027923 
 32576 
 
 3723 
 
 41884 
 
 0-046538 
 
 These Tables show the time occupied in describing any angle with the Mean 
 Synodic Motion, and are to be used for converting into time the Complement, 
 or excess of the longitude of Jupiter above that of the Satellite at the approxi- 
 mate time of conjunction given by Tables I-VIII. 
 
 To allow for the true Motion, increase the entry taken from column 2 by its 
 product by the Variation as given by Tables XXVI-XXIX. 
 
 266 
 
XLII 
 
 SATELLITE IV 
 
 Tables of the Phenomena 
 
 Correction of High Latitudes for Variation 
 
 \Var. 
 
 -O -O -O 
 
 -o -o -o 
 
 -o o -o --o -o -o --o -o -o 
 
 _-o -o -o --o -o --o 
 
 far./ 
 
 Lat\ 
 
 16O 156 152 
 
 148 144 14O 
 
 136 132 128 
 
 124 12O 116 
 
 112 1O8 104 
 
 10O O96 O92 
 
 088 084 080 
 
 /Lat. 
 
 O50 
 
 + 770 +752 +733 
 
 + 714 +695 +677 
 
 + 658 +639 + 62oj + 6oo +581 +563 
 
 + 544+525 +505 
 
 + 486 +468 +449 
 
 + 429 +410 +390 
 
 50 
 
 52 
 
 + 722 +705 +687 
 
 + 669 +652 +634 
 
 + 617 +599 +581 
 
 + 564 +546 +529 
 
 + 510 +492 +475 
 
 + 456 +438 +421 
 
 + 402 +385 +367 
 
 52 
 
 54 
 
 + 674 +658 +641 
 
 + 625 +609 + 592 
 
 + 576 +559 +543 
 
 + 526 +509 +493 
 
 + 477 +459 +443 
 
 + 426 +409 +393 
 
 + 376 +359 +343 
 
 54 
 
 56 
 
 + 625 +610 + 595 
 
 + 580 +565 +549 
 
 + 533 +5'8 +5031 + 488 +473 +457 
 
 + 442 +426 +410 
 
 + 395 +380 +364 
 
 + 349 +333 +318 
 
 56 
 
 58 
 
 + 575 +5<5i +547 
 
 + 533 +5'9 +55 
 
 + 491 +477 +464^449 +435 +421 
 
 + 406 +392 +379 
 
 + 364 +350 +336+321 +307 +292 
 
 58 
 
 60 
 
 + 524 +511 +499 
 
 + 486 +474 +461 
 
 + 448 +435 +422 
 
 + 410 +396 +384 +371 +358 +345 
 
 + 33 2 + 3'9 +3 6 
 
 + 293 +280 +266 
 
 60 
 
 O62 
 
 + 472 +461 +450 
 
 + 439 + 4* 6 +4'5 
 
 + 404 +393 +381 
 
 + 369 +358 +347 
 
 + 334 +323 +311 
 
 + 300 +288 +276 
 
 + 265 +252 +241 
 
 62 
 
 64 
 
 + 420 +410 +400 
 
 + 389 +379 +369 
 
 + 360 +350 + 339 
 
 + 329 +318 +308 
 
 + 298 +287 +277 
 
 + 266 +256 +245 
 
 + 235 +224 +215 
 
 64 
 
 66 
 
 + 367 +358 +349 
 
 + 34 +33* +3*3 
 
 + 313 + 305 +296 
 
 + 287 +278 +270 
 
 + 260 +251 +242 
 
 + 233 +224 +215 
 
 + 206 + 197 + 187 
 
 66 
 
 68 
 
 + 312 +305 +297 
 
 + 290 +282 +274 
 
 + 267 +260 +252 
 
 + 245 +237 +229 
 
 + 222 +214 + 207 
 
 + 199 + 191 + 183 
 
 + 175 +168 +160 
 
 68 
 
 70 
 
 + 257 +250 +244 
 
 + 238 +232 +226 
 
 + 220 +213 +208 
 
 + 201 + 195 + 188 
 
 + 183 +177 +170 
 
 + 163 +157 +151 
 
 + 145 +138 +131 
 
 7O 
 
 072 
 
 + 200 + 194 + igO 
 
 + 186 + 181 + 176 
 
 + 171 + 167 + 161 
 
 + 157 +153 +H7 
 
 + 142 +138 +132 
 
 + 128 + 123 +118 
 
 + 113 + 108 +103 
 
 072 
 
 74 
 
 + 142 + 138 + 135 
 
 + 131 +128 +125 
 
 + 122+119+115 
 
 + 112 + 108 + 105 
 
 + 102 + 98 + 9 
 
 + 91+88+84 
 
 + 80+78+74 
 
 74 
 
 76 
 
 + 82+80+78 
 
 + 77+74+73 
 
 + 71 + 69 + 67 
 
 + 65+63+61+60+58+5 
 
 + 54 + 5* + 49 
 
 + 48+46+43 
 
 76 
 
 78 
 
 + 2O + 21 + 20 
 
 + 20+19+20 
 
 + 19 + 18 + 18 
 
 + 18 + 18 + 17 + 16 + 17 + 16 
 
 + 15+15+14 
 
 + 14+13+13 
 
 78 
 
 80 
 
 - 43 - 41 - 40 
 
 -38-38-37 
 
 - 35 - 34 - 33 
 
 31 - 30 - 29 - 28 - 27 - 26 
 
 - 24 - 23 - 22 
 
 - 22 - 20 - 19 
 
 so 
 
 082 
 
 - 107 - 104 - 101 
 
 -98-96-92 
 
 -90-87-85 
 
 - 81 - 79 - 76:- 74 - 70 - 68 
 
 - 65 - 63 - 59 
 
 - 57 - 54 - S 2 
 
 082 
 
 84 
 
 -174 - 169 - 164 
 
 - 160 - 156 - 152 
 
 -147 -142 -138 
 
 -134 -129 -I25'-I20 -Il6 -III 
 
 - 107 - 103 - 98 
 
 -94-90-85 
 
 84 
 
 86 
 88 
 
 -242 - 236 - 230 
 
 -314 -305 -297 
 
 - 224 - 217 - 21 I 
 
 289 - 282 - 174 
 
 - 205 - 199 - 191 
 
 - 266 - 258 - 250 
 
 - 186 - 180 - 174 
 - 243 - 234 - 226 
 
 - 169 -163 - 157 
 -2l8 -211 -203 
 
 -151 -144 -138 
 - 195 - 187 -180 
 
 - 132 - 126 - I2O 
 - 172 - 164 - 156 
 
 86 
 
 88 
 
 90 
 
 -387 -376 -367 
 
 -357 -347 -338 
 
 - 328 - 318 - 309 
 
 -299 -289 -280 -270 -260 -251 
 
 - 241 -232 -222 
 
 -212 -203 - 193 
 
 90 
 
 O92 
 
 -462 -452 -440 
 
 -429 -417 -405 
 
 -394 -382 -371 
 
 -359 -347 -336 3*4 ~3'3 -3' 
 
 -289 -278 -266 
 
 -255 -244 -232 
 u > 
 
 0-92 
 
 94 
 
 -54* -5*9 -5' 6 
 
 -502 -489 -475 
 
 -461 -448 -435 
 
 -421 -408 -394 
 
 -380 -367 -353 
 
 -339 -3*7 -3'3 
 
 - 299 - 286 -272 
 
 '94 
 
 O'ttA 
 
 O96 
 
 - 626 -610 - 594 
 
 -578 -563 -548 
 
 -53 2 -517 -5' 
 
 -485 -470 -455 
 
 -439 -4*3 ~47 
 
 -39* -377 -361 
 
 -345 -33 ~3'4 
 
 96 
 
 XLII continued 
 
 
 
 \Var. 
 
 _-o -o -o 
 
 - - - O 
 
 - O - O --0 
 
 -o --o -o 
 
 -o -o -o 
 
 _-o --o -o 
 
 --0 - O 
 
 Van/ 
 
 Lat\ 
 
 O80 O76 O72 
 
 O68 064 O6O 
 
 O56 O52 048 
 
 O44 O4O O36 
 
 O32 O28 O24 
 
 O2O O1 6 O1 2 
 
 OO8 OO4 OOO 
 
 /Lat. 
 
 0-50 
 
 + 39 +37* +35* 
 
 + 333 +3'3 +*94 
 
 + 274 +256 +236 
 
 + 216 + 197 + 177 
 
 + 157 +138 +118 
 
 + 99+79+59 
 
 + 40+20 o 
 
 0-50 
 
 52 
 54 
 56 
 58 
 60 
 
 + 367 +348 +331 
 
 + 343 +3*5 +39 
 + 318 + 301 +286 
 + 292 +278 +263 
 + 266 +254 +240 
 
 + 312 +295 +275 
 + 291 +275 +258 
 + 270 +255 +239 
 + 250 + 235 + 220 
 + 228 +214 +201 
 
 + 257 +240 +221 
 + 240 +224 +206 
 + 223 +208 + 191 
 + 206 + 191 + 176 
 + 188 + 174 + 161 
 
 + 203 + 185 + 166 
 + 189 +173 +'55 
 + 175 +160 +144 
 + 162 + 148 +133 
 + 148 + 135 +121 
 
 + 148 + 129 + in 
 
 + 138 + 121 +104 
 
 + 128 +112 + 97 
 + 118 +103 + 89 
 + 107 + 94 + 8 1 
 
 + 93 + 74 + 5 6 
 + 87+69+52 
 
 + 81+64+48 
 + 74+59+45 
 + 68 + 54 + 4 1 
 
 +37+19 o 
 
 + 35 + '7 o 
 +32+16 o 
 + 30+15 o 
 +27+13 o 
 
 52 
 54 
 56 
 58 
 6O 
 
 0-62 
 64 
 66 
 68 
 70 
 
 + 241 +229 +217 
 + 215 +204 +194 
 + 187 + 178 + 169 
 + 1 60 +152 +144 
 + 131 + 126 + 119 
 
 + 205 + 193 + 181 
 + 183 + 172 + 162 
 + 160 + 150 + 142 
 + 136 + 129 +121 
 
 + 112 + I 06 + IOC 
 
 + 170 +157 +145 
 + 151 + 140 + 129 
 
 + 132 + 122 + 114 
 
 + 113 + 104 + 97 
 + 93+86+80 
 
 + 134 + 122 + lOg 
 
 + 119 + 108 + 97 
 + 104 +95+85 
 + 89+81+73 
 + 73+67+60 
 
 + 97+85+74 
 + 86+75+66 
 
 + 75 + 6 7 + 57 
 + 64+57+49 
 + 53+47+41 
 
 + 61+49+37 
 + 55+44+33 
 + 48+38+29 
 
 + 4' + 33 + 2 5 
 
 + 34 + 27 + 20 
 
 +25+12 o 
 
 + 22 + I I 
 
 + 19+10 o 
 + 16 + 8 o 
 
 + 14 + 7 
 
 O 62 
 64 
 66 
 68 
 7O 
 
 O72 
 74 
 76 
 
 + 103 +98+93 
 + 74+70+67 
 + 43 + 42 + 4C 
 
 + 88+83+78 
 + 63+59+56 
 
 + 37+35+33 
 
 + 72+68+63 
 
 + 5* + 49 + 45 
 + 31 + 29 + 27 
 
 + 58 + 52+47 
 
 +41+37+34 
 + 25+22+20 
 
 + 42+37+3* 
 +31+27+23 
 + 19 + 16 + 14 
 
 + 27+21+16 
 
 + 19 + 15 + '* 
 
 + i* + 9 + 7 
 
 ;i i i * j_ 2 
 
 + ii + 5 
 + 8+40 
 + 5+20 
 
 + 2+1 O 
 
 O 72 
 74 
 76 
 78 
 
 78 
 
 + 13+12+15 
 
 + II + 10 + 1C 
 
 + 10 + 9 + 8 
 
 + 7 + 7 + 7 
 
 + 6 + 5 + 5 
 
 + 4 + 3 + z 
 
 A 11 
 
 - 2 - I 
 
 30 
 
 80 
 
 -19-18-17 
 
 -16-15-14 
 
 - 13 - u - n 
 
 - 10 - 9 - 
 
 - 7 - 6 - 5 
 
 4 ~ 3 3 
 
 C - 2 O 
 
 82 
 
 0-82 
 
 - 52 - 49 - 47 
 
 - 43 - 41 - 38 
 
 - 36 - 34 - 31 
 
 - 28 - 25 - 22 
 
 - 20 - 17 - IJ 
 
 - 12 - 10 - 7 
 
 ;- i 7 _ 11 
 
 5 z 
 - 8 - 4 o 
 
 84 
 
 84 
 
 - 85 - 81 - 7< 
 
 - 72 - 68 - 64 
 
 . - 60 - 55 - 51 
 
 - 46 - 42 - 38 
 
 - 34 - 29 - 25 
 
 21 * / 
 
 -+*_ 1 A I J 
 
 - 12 - 6 
 
 86 
 
 86 
 
 - I2O 114 - IOI 
 
 - 102 - 96 - gc 
 
 -84-77-72 
 
 - 66 - 59 - 54 
 
 - 48 - 4* - 3"," j" - *T ~ - 
 
 T _, __ ** 
 
 _ 16 - 8 o 
 
 88 
 
 88 
 90 
 
 - 156 - 149 - 141 
 
 -193 -183 -17* 
 
 - 132 - 124 - u( 
 -164 -154 -14; 
 
 , _ 109 - loi - 93 
 
 -135 -125 -nC 
 
 - 85 - 78 - 7= 
 - 106 - 96 - 87 
 
 - 62 - 54 - 47 - 39 - 3 1 
 
 _ 77 _ 67 - 58 - 48 - 39 - *9 
 
 -19-10 o 
 
 9O 
 
 OQ2 
 
 092 
 
 - 232 221 - 2O< 
 
 - 197 - 186 - 17* 
 
 . -163 - 151 -I3c 
 
 - 128 - 116 - 104 
 
 -93-81-70-58-46-35 
 _- a,' _ 68 - ?? 41 
 
 - 23 - 12 O 
 
 - 27 - 14 
 
 V A 
 
 94 
 
 94 
 096 
 
 -272 -258 -24 
 -314 -299 -28- 
 
 -231 -217 -20- 
 -267 -252 -23< 
 
 h - 191 - 178 - i6< 
 
 i 2o - 204 - 1 8! 
 
 -150 -137 -i*3 
 -174 -158 -143 
 
 109 95 1 
 -126 -in - 95|- 79 - 6 3 - 47 
 
 -32-16 o 
 
 ___ ^^ 
 
 096 
 
 ^^^ ^ 
 
 
 
 
 
 
 ^ 
 
 The unit equals o'ooooi. 
 
 This Table ia complementary to Table XL VI and supplies a correction to Latitude. 
 
 267 
 
XLII continued 
 
 SATELLITE IV 
 
 Tables of the Phenomena 
 
 Correction of High Latitudes for Variation 
 
 \Var 
 
 o +-o +-o 
 
 +-o +-o +-o 
 
 + +-0 +-0 
 
 + +-0 -f-0 
 
 +0 +-o +-o 
 
 + +-0 +-0 
 
 + +'0 +-0 
 
 Var./ 
 
 Lat\ 
 
 OOO OO4 OO8 
 
 012 O1 6 O2O 
 
 O24 O28 O32 
 
 O36 O4O 044 
 
 O48 O52 056 
 
 O60 O64 O68 
 
 O72 O76 O8O 
 
 /Lat. 
 
 050 
 
 -20 -40 
 
 -59 -79 -99 
 
 - 120 - 140 - 159 
 
 - 179 - 199 - 220 
 
 - 240 - 260 - 280 
 
 -300 -321 -341 
 
 - 362 - 382 - 402 
 
 050 
 
 52 
 54 
 56 
 58 
 60 
 
 o -19 -37 
 
 o -17 -35 
 o -16 -32 
 o -15 -30 
 o -13 -27 
 
 -56 -74 -93 
 -52 -69 -87 
 -48 -64 -81 
 
 -45 -59 -74 
 -41 -54 -68 
 
 - 113 - 131 - 150 
 - IO4 123 - 140 
 
 - 97 - 114 -130 
 
 - 89 - 105 - 120 
 - 8l - 96-109 
 
 - 168 - 187 - 207 
 
 -157 -'75 -193 
 - 146 - 162 - 179 
 -135 -150 -164 
 -123 -137 -150 
 
 -225 -244 -263 
 
 - 2IO - 228 246 
 -195 -212 -2Z9 
 
 - 180 - 195 - 210 
 - 165 - 178 - 192 
 
 -283 - 301 - 320 
 - 264 - 281 - 299 
 - 245 - 261 - 278 
 - 226 - 241 - 256 
 
 - 207 -220 - 234 
 
 -339 -358 -377 
 -317 -335 -353 
 -294 -311 -328 
 - 271 - 286 - 302 
 248 262 - 276 
 
 52 
 54 
 56 
 58 
 
 6O 
 
 O62 
 64 
 66 
 68 
 7O 
 
 - 12 - 25 
 -II -22 
 
 o - 10 - 19 
 o - 8 - 16 
 
 o - 7 -14 
 
 -37 -49 -61 
 
 -33 -44 -55 
 -29 -38 -48 
 -25 -33 -41 
 -20 -27 -34 
 
 - 74 - 87 - 99 
 - 66 - 77 - 88 
 -57-67-77 
 - 49 - 57 - 66 
 - 41 - 47 - 55 
 
 - in - 124 - 136 
 - 99 - no - 121 
 - 87 - 97 - 106 
 - 75 - 83 - 91 
 - 62 - 69 - 75 
 
 - 149 -161 -174 
 
 -133 -144 -'55 
 - 116 - 126 - 136 
 - 99 - 108 - 1 17 
 - 82 - 90-97 
 
 - 187 - 199 -211 
 
 - l66 - 178 - 189 
 
 - 146 - 156 - 166 
 -125 -133 -142 
 - 104 - 110 - 118 
 
 -225 -237 -249 
 
 - 2OO - 212 - 223 
 
 -175 -186 -195 
 - 150 - 158 - 168 
 -125 - 132 -139 
 
 0-62 
 64 
 66 
 
 68 
 7O 
 
 0-72 
 74 
 76 
 78 
 80 
 
 o - 5 - ii 
 0-4-8 
 0-2-5 
 
 0-1-2 
 
 0+1+2 
 
 - 16 -2i -27 
 
 -12 -15 -I 9 
 
 -7-9 ~ 12 
 - 2 ~ 3 - 4 
 + 3 +3 +4 
 
 32 - 37 - 44 
 -23-27-31 
 14 - 16 - 19 
 -5-5-6 
 
 + 5 + 6 + 7 
 
 -49-54- 60 
 - 36 - 39 - 43 
 
 - 22 - 24 - 27 
 
 - 7 - 9 - 9 
 
 + 8 + 7 + 8 
 
 - 65 - 70 - 76 
 - 47 - 5' - 56 
 - 2 9-3i-33 
 
 - 10 - 11 - 12 
 
 + 9 + 10 + ii 
 
 - 82 - 87 - 92 
 - 60 - 63 - 67 
 
 - 37 - 39 - 4' 
 - 12 - 14 - 15 
 + 12+13+12 
 
 - 99 - 104 - 109 
 
 -71-76-80 
 - 44 - 46 - 49 
 -16-16-17 
 + 13+14+15 
 
 072 
 
 74 
 76 
 78 
 
 80 
 
 082 
 84 
 86 
 88 
 9O 
 
 0+2+5 
 0+4+8 
 
 + 6 +12 
 
 0+8 +16 
 o +10 +19 
 
 + 7 +10 +12 
 
 + 13 +17 +21 
 
 + 18 +24 +30 
 + 23 +31 +39 
 + 29 +39 +48 
 
 + 15 + 17+20 
 + 25+29+34 
 + 36+42+48 
 + 47+54+62 
 + 58+67+77 
 
 + 22 + 25 + 26;+ 29 + 32 + 34 
 + 38 + 42 + 46'+ 49 + 53 + 58 
 + 54 + 59+66+72+77+82 
 + 70 + 78 + 85 + 93 + ioi + 109 
 + 87+ 96+106 + 116+125+135 
 
 + 36+39+41 
 + 62 + 66 + 70 
 + 88 + 94+100 
 + 116 + 124 + 132 
 + 145 + 154 + 164 
 
 + 43+45+48 
 + 74+79+83 
 + 1 06 +112 + 118 
 + 139 +147 +154 
 + 174 +183 +193 
 
 082 
 84 
 86 
 88 
 90 
 
 O92 
 94 
 096 
 
 o +12 +23 
 o +14 +27 
 o +16 +32 
 
 + 35 +46 +58 
 + 41 +55 +68 
 + 47 +63 +79 
 
 + 70+81+93 
 + 82 + 95 + 109 
 + 95+111+126 
 
 + 104+116 +128+139 + '5 1 + l6 3 
 + 123 +137 + I5o,+ i64 +178 +191 
 + 142 +158 +174 + 190 +206 +222 
 
 + 174 +186 + 197 
 + 206 +219 +233 
 + 238 +254 +269 
 
 + 209 +221 +232 
 + 247 +260 +274 
 + 286 +301 +3l8 
 
 092 
 94 
 096 
 
 XLII continued 
 
 \Var. 
 
 +0 +-0 +-0 
 
 + +-0 +-0 
 
 +0 +-o +-o 
 
 + +-0 +-0 
 
 +-o +-o +-o +-o +-o +-o 
 
 + +-0 +-0 
 
 \ Var. 
 
 Lat\ 
 
 O8O O84 088 
 
 O92 O96 1OO 
 
 1O4 1O8 112 
 
 116 12O 124 
 
 128 132 136 
 
 140 144 148 
 
 152 156 16O 
 
 Lat.\ 
 
 O5O 
 
 -402 -422 -443 
 
 -463 -484 -504 
 
 -525 -545 -5 66 
 
 -587 -607 -628 
 
 - 648 - 669 - 690 
 
 -711 -731 -752 
 
 -773 -794 -816 
 
 O 50 
 
 52 
 54 
 56 
 58 
 6O 
 
 -377 -397 -4'6 
 -353 -371 -388 
 -328 -345 -361 
 -302 -317 -333 
 -276 - 290 - 305 
 
 -435 -454 -474 
 -407 -425 -442 
 -378 -394 -411 
 -348 -364 -380 
 -318 -333 -346 
 
 -493 -512 -532 
 -461 -479 -497 
 -428 -444 -462 
 
 -395 -4 10 -4*6 
 -361 -374 -389 
 
 -551 -570 -590 
 -5'5 -533 -55 2 
 -479 -495 -5'2 
 -441 -457 -473 
 -404 -418 -432 
 
 - 609 - 629 - 649 
 - 569 - 587 -606 
 
 -529 -546 -563 
 -488 -503 -519 
 -446 -461 -474 
 
 -668 -688 -707 
 -624 - 643 - 661 
 -579 -597 -614 
 -535 -551 -567 
 -489 -504 -518 
 
 -727 -747 -766 
 - 679 - 698 - 716 
 -631 -648 -665 
 -583 -599 -613 
 -533 -547 -562 
 
 52 
 54 
 56 
 58 
 60 
 
 O62 
 64 
 66 
 68 
 7O 
 
 -249 -262 -275 
 -223 -234 -245 
 - 195 - 205 - 216 
 - 168 - 176 - 185 
 -139 -146 -153 
 
 - 288 - 300 - 314 
 -57 - 268 - 280 
 -225 -236 -245 
 
 - 193 - 2OI - 211 
 
 - 161 - 167 - 175 
 
 -327 -339 -35* 
 -291 -303 -314 
 -256 -265 - 276 
 - 219 - 228 - 236 
 - 182 - 189 - 197 
 
 -365 -378 -39' 
 -326 -338 -349 
 -286 -296 - 307 
 -245 - 2 53 - 26 3 
 
 - 2O4 -211 - 219 
 
 -403 -417 -430 
 -361 -372 -384 
 -316 -327 -337 
 - 272 - 280 - 289 
 - 226 - 233 - 240 
 
 -443 -456 -469 
 
 -395 -407 -4'9 
 -347 -358 -368 
 - 298 - 306 - 316 
 -248 - 256 - 262 
 
 -482 -495 - 508 
 -430 -442 -454 
 -379 -388 -399 
 
 -325 -333 -34 2 
 - 270 - 278 - 285 
 
 062 
 64 
 66 
 68 
 70 
 
 O72 
 74 
 76 
 78 
 80 
 
 - 109 - 116 - 121 
 
 .80-84-88 
 - 49 - 52 - 54 
 - 17 - 19-20 
 + 15+16+16 
 
 -126 -133 -138 
 
 - 92 - 96 - ioi 
 - 57 - 60 - 62 
 - 20 - 21 - 23 
 + 16 + 17 + 18 
 
 - 144 - 150 - 156 - 161 - 167 - 173 
 
 -IO5 -IIO -114-117 -122 -126 
 
 - 65 - 68 - 70)- 73 - 75 - 79 
 - 24 - 25 - 26 - 27 - 28 - 30 
 
 + l8 + 19 + 20 + 19 + 20 + 21 
 
 -179 -185 -191 
 -131 -135 -140 
 -81-83-87 
 
 -30-32-33 
 + 21+22+23 
 
 - 196 - 203 - 208 
 -143 -148 -153 
 - 89 - 92 - 95 
 - 34 ~ 35 - 36 
 + 23+23+24 
 
 - 214 - 220 - 226 
 - 157 - 162 - 166 
 - 98 - 100 - 104 
 -38-39-40 
 + 24+25+25 
 
 072 
 74 
 76 
 78 
 
 80 
 
 O-82 
 84 
 86 
 88 
 9O 
 
 + 48 + 50 + 53 
 + 83+86+90 
 + 118 +124 +130 
 + 154 + 162 + 170 
 + 193 +203 +212 
 
 + 55+57+59 
 + 94 + 99 + 103 
 + 136 +142 + 147 
 + 178 + 185 + 193 
 + 222 +232 +241 
 
 + 62+64+66 
 
 + 107 +no +114 
 
 + 153 +159 +165 
 + 2OI +209 + 2l6 
 + 251 +260 + 270 
 
 + 68+71+73 
 
 + 119+123+126 
 + 170 + 176 + 182 
 + 224 +232 +239 
 + 280 +289 +299 
 
 + 75+77+8o 
 + 130 +134 +139 
 + 187 +193 +199 
 + 246 +254 +262 
 + 309 +318 +328 
 
 + 82+84+86 
 + 142 + 146 + 150 
 + 205 +211 +216 
 + 270 +278 +285 
 + 338 +347 +357 
 
 + 89+90+93 
 + 154 +157 +162 
 
 + 222 +228 +234 
 + 293 +301 +308 
 
 + 367 +376 +3 8 5 
 
 082 
 84 
 86 
 88 
 
 90 
 
 O92 
 94 
 O96 
 
 + 232 +244 +255 
 + 274 +288 +301 
 + 318 +334 +349 
 
 + 268 +280 +291 
 + 315 +329 +343 
 + 365 +381 +398 
 
 + 303 +315 +326 
 
 + 357 +371 +384 
 + 413 +429 +445 
 
 + 338 +349 +361 
 + 398 +412 +425 
 + 461 +478 +493 
 
 + 373 +384 +396 
 + 439 +454 +467 
 + 509 +525 +542 
 
 + 407 +419 +431 
 + 481 +495 +508 
 + 558 +573 +59 
 
 + 442 +454 +466 
 
 + 522 +537 +55 
 + 606 +622 +638 
 
 O92 
 94 
 096 
 
 This Table is complementary to Table XLVI and supplies a correction to Latitude. 
 
 268 
 
 The unit equals o'ooooi. 
 
XLII continued 
 
 SATELLITE IV 
 
 Tables of the Phenomena 
 
 Correction of High Latitudes for Variation 
 
 \Var. 
 
 -0 'O -'O 
 
 _-o o -o 
 
 -0 --O --0 
 
 - o - o o --o --o o --o - o --o o - o - o 
 
 VarV 
 
 Lat\ 
 
 16O 156 152 
 
 148 144 14O 
 
 136 132 128 
 
 124 12O 116 
 
 112 1O8 1O4 : 10O 096 O92 
 
 O88 O84 O80 
 
 /Lat. 
 
 25O 
 
 -770 -752 -733 
 
 -714 -695 -677 
 
 - 658 - 639 -620 
 
 -600 - 581 - 563 
 
 -544 -5*5 -55 
 
 -486 -468 -449 
 
 -429 -410 -390 
 
 2 50 
 
 48 
 
 - 722 - 705 - 687 
 
 - 669 - 652 - 634 
 
 -617 -599 -581 
 
 -564 -546 -529 
 
 -510 -492 -475 
 
 -456 -438 -4*i 
 
 -402 -385 -367 
 
 48 
 
 46 
 
 -674 -658 -641 
 
 - 625 - 609 - 592 
 
 -576 -559 -543 
 
 -5*6 -59 -493 
 
 -477 -459 -443 
 
 -426 -409 -393 
 
 -376 -359 -343 
 
 46 
 
 44 
 
 -6:5 -610 -595 
 
 -580 -565 -549 
 
 -533 - 5'8 -53 
 
 -488 -473 -457 
 
 - 442 426 - 410 
 
 -395 -38o -364 
 
 -349 -333 -3i8 
 
 44 
 
 42 
 
 -575 -561 -547 
 
 -533 -5'9 -55 
 
 -491 -477 -464 
 
 -449 -435 -4 2 
 
 -406 -392 -379 
 
 -364 -350 -336 
 
 -321 -307 -292 
 
 42 
 
 40 
 
 -524-511 -499 
 
 -486 -474 - 461 
 
 -448 -435 -422 
 
 -410 -396 -384 
 
 -37' -35 s -345 
 
 -33* -3>9 -36 
 
 - 293 - 280 - 266 
 
 40 
 
 238 
 
 -472 -461 -450 
 
 -439 -426 -415 
 
 -404 -393 -381 
 
 -369 -358 -347 
 
 -334 -3*3 -3 11 
 
 - 300 - 288 - 276 
 
 -265 - 252 - 241 
 
 238 
 
 36 
 
 420 - 410 - 400 
 
 -389 -379 -369 
 
 -360 -350 -339 
 
 - 329 - 318 - 308 
 
 -298 -287 -277 
 
 - 266 - 256 245 
 
 -235 -224 -215 
 
 36 
 
 34 
 
 -367 -358 -349 
 
 -340 -332 -323 
 
 -313 -305 -296 
 
 - 287 -278 - 270 
 
 - 260 - 251 - 242 
 
 -233 -224 -215 
 
 - 206 - 197 - 187 
 
 34 
 
 32 
 
 -312 -305 -297 
 
 - 290 - 282 - 274 
 
 - 267 - 260 - 252 
 
 -245 -237 -229 
 
 - 222 - 214 - 2O7 
 
 - 199 - 191 - 183 
 
 - 175 - 168 - 160 
 
 32 
 
 30 
 
 -257 -250 -244 
 
 - 238 - 232 - 226 
 
 - 220 - 213 - 208 
 
 - 201 - 195 - 188 
 
 -183 -177 -170 
 
 -163 -157 -151 
 
 -145 -138 -131 
 
 30 
 
 228 
 
 - 200 - 194 - 190 
 
 - 186 - 181 - 176 
 
 -171 - 167 - 161 
 
 -157 -153 -147 
 
 - 142 - 138 - 132 
 
 - 128 - 123 - 118 
 
 - 113 - 108 - 103 
 
 228 
 
 26 
 
 - 142 -138 -135 
 
 -131 - 128 - 125 
 
 -122 - 119 - 115 
 
 - 112 - 108 - 105 
 
 - 102 - 98 - 95 
 
 -91-88-84 
 
 - 80 - 78 - 74 
 
 26 
 
 24 
 
 -82-80-78 
 
 -77-74-73 
 
 - 71 - 69 - 67 
 
 -65-63-61 
 
 -60-58-55 
 
 54 - 5* - 49 
 
 - 48 - 46 - 43 
 
 24 
 
 22 
 
 - 2O - 21 - 20 
 
 - 20 - 19 - 20 
 
 - 19 - 18 - 18 
 
 -18-18-17 
 
 - 16 - 17 - 16 
 
 - 15 - 15-14 
 
 14-13-13 
 
 22 
 
 20 
 
 + 43+41+40 
 
 + 38+38+37 
 
 + 35+34+33 
 
 + 31 + 30 + 19 
 
 + 28+27+26 
 
 + 24+23+22 
 
 + 22+20+19 
 
 20 
 
 2-18 
 
 + 107 +104 + 101 
 
 + 98+96+92 
 
 + 90+87+85 
 
 + 81+79+76 
 
 + 74+70+68 
 
 + 65+63+59 
 
 + 57+54+5* 
 
 2-18 
 
 16 
 
 + 174 + 169 + 164 
 
 + 1 60 + 156 + 152 
 
 + 147 +142 +138 
 
 + 134 + 129 + 125 
 
 + 1 20 + 1 1 6 + ii i 
 
 + 107 + 103 + 98 
 
 + 94+90+85 
 
 16 
 
 14 
 
 + 242 +236 +230 
 
 + 224 +217 +211 +205 +199 +193 
 
 + 186 +180+ 174 
 
 + 169 +163 +157 
 
 + 151 +144 +1381+132 +126 +120 
 
 14 
 
 12 
 
 + 314 +305 +297 
 
 + 289 +282 +274 
 
 + 266 +258 +250 
 
 + 243 +234 +226 
 
 + 2l8 +211 +203 
 
 + 195 +187 +180 
 
 + 172 + 164 + 156 
 
 12 
 
 1O 
 
 + 387 +376 +367 
 
 + 357 +347 +338 
 
 + 328 +318 +309 
 
 + 299 +289 +280 
 
 + i7O +260 + 251 
 
 + 241 +232 +222 
 
 + 212 +203 + 193 
 
 1O 
 
 208 
 
 + 462 +452 +440 
 
 + 429 +417 +405 
 
 + 394 +382 +371 
 
 + 359 +347 +336 
 
 + 3*4 +313 +3 01 
 
 + 289 +278 +266 
 
 + 255 +244 +232 
 
 208 
 
 06 
 
 + 54* +5*9 +5 l6 
 
 + 502 +489 +475 
 
 + 461 +448 +435 
 
 + 421 +408 +394 
 
 + 380 +367 +353 
 
 + 339 +327 +313 
 
 + 299 +286 +272 
 
 O6 
 
 2'04 
 
 + 626 +610 + 594 
 
 + 578 +563 +54 8 
 
 + 532 +5i7 +5' 
 
 + 485 +470 +455 
 
 + 439 +4*3 +47 
 
 + 392 +377 +361 
 
 + 345 +33 +3'4 
 
 2-04 
 
 XLII continued 
 
 \Var. 
 
 \ 
 
 _ - - - O - - 
 
 'O --O -O 
 
 -O -0 -0 
 
 _o -o -o 
 
 -o o o 
 
 -O -0 'O 
 
 Var./ 
 
 Lat\ 
 
 O8O 076 O72 O68 O64 060 
 
 O56 O52 048 
 
 O44 O4O O36 
 
 O32 O28 O24 
 
 020 016 012 
 
 008 004 000 
 
 Lat. 
 
 2-5O 
 
 -390 -372 -352-333 -313 -294 
 
 - 274 - 256 - 236 
 
 -216 -197 -177 
 
 - 157 - 138 - 118 
 
 _ 99 - 79 - 59 
 
 40 - 20 o 
 
 250 
 
 48 
 
 -367 -348 -331-312 -295 -275 
 
 - 257 -240 - 221 - 203 - 185 - 1 66 
 
 - 148 - 129 - in 
 
 - 93 - 74 - 56 
 
 - 37 - 19 
 
 48 
 
 46 
 
 -343 -3*5 -39 
 
 -291 -275 -258 
 
 - 240 -224 -206 - 189 - 173 - 155 
 
 - 1 3 8 - 1 2 1 - 1 04 
 
 - 87 - 69 - 52 
 
 - 35 - '7 
 
 ii 
 
 44 
 
 - 318 - 301 - 286 
 
 -270 -255 -239 
 
 - 223 - 208 - 191 - 175 - 160 - 144 
 
 - 128 - 112 - 97 
 
 -81-64-48 
 
 3216 o 
 
 
 42 
 
 - 292 - 278 - 263 
 
 - 250 - 235 - 220 
 
 - 206 - 191 - 176 
 
 - 162 - 148 - 133 
 
 - 118 - 103 - 89 
 
 - 74 - 59 - 45 
 
 - 30 - 15 o 
 
 
 4O 
 
 - 266 - 254 - 240 
 
 - 228 - 214 - 201 
 
 - 188 - 174 - 161 
 
 - 148 - 135 - 121 
 
 - 107 -94-81 
 
 - 68 - 54 - 41 
 
 -27-13 o 
 
 
 2-38 
 
 - 241 - 229 - 217 
 
 - 205 - 193 - 181 
 
 -170 -157 -145 
 
 - 134 - 122 - 109 
 
 - 97 - 85 - 74 
 
 -61-49-37 
 
 -25-12 o 
 
 2-38 
 
 36 
 
 - 215 - 204 - 194 
 
 - 183 - 172 - 162 
 
 - 151 - 140 - 129 
 
 - 119 - 108 - 97 
 
 - 86 - 75 - 66 
 
 - 55 - 44 - 33 
 
 22 I I O 
 
 
 34 
 
 - 187 - 178 - 169 
 
 - 160 - 150 - 142 
 
 - 132 - 122 - 114 
 
 -104 - 95 - 85 
 
 - 75 - 67 - 57 
 
 - 48 - 38 - 29 
 
 - 19 - 10 o 
 
 T f\ fl n 
 
 32 
 
 32 
 
 - 1 60 - 152 - 144 
 
 - 136 - 129 - 121 
 
 -113 -104 - 97 
 
 -89-81-73 
 
 - 64 - 57 - 49 
 
 - 41 - 33 - 25 
 
 I D "* U 
 
 3O 
 
 30 
 
 - 131 - 126 - 119 
 
 - 112 - 1 06 - IOO 
 
 - 93 - 86 - 80 
 
 - 73 - 67 - 60 
 
 - 53 - 47 - 4 1 
 
 - 34 - 27 - 20 
 
 - 14 - 7 o 
 
 
 2-28 
 
 -103 - 98 - 93 
 
 - 88 - 83 - 78 
 
 - 72 - 68 - 63 
 
 - 58 - 52 - 47 
 
 - 42 - 37 - 3* 
 
 - 27 - 21 - l6 
 
 - ii - 5 o 
 
 8 n 
 
 228 
 26 
 
 26 
 
 - 74 - 70 - 67 
 
 - 63 - 59 - 56 
 
 - 52 - 49 - 45 
 
 - 41 - 37-34 
 
 - 31 - 27 - 23 
 
 -19-15-12 
 
 o ^. <J 
 
 r _ 2 n 
 
 24 
 
 24 
 
 - 43 - 42 - 40 
 
 - 37 - 35 - 33 
 
 - 31 - 29 - 27 
 
 25 22 2O 
 
 - 19 - 16 - 14 
 
 - 12 - 9 - 7 
 
 5 z u 
 
 t tO 
 
 -22 
 
 22 
 
 - 13 - 12 - 12 
 
 - II - 10 - 10 
 
 - 10 - 9 - 8 
 
 - 7 - 7 - 7 
 
 - 6 - 5 - 5 
 
 4 ~ 3 - * 
 
 Z l w 
 
 
 2O 
 
 + 19 + 18 + 17 
 
 + 16+15+14 
 
 + 13+11+11 
 
 + 10 + 9 + 8 
 
 + 7 + 6 + 5 
 
 + 4 + 3 + 3 
 
 + 2 + I O 
 
 2O 
 
 218 
 16 
 14 
 12 
 1O 
 
 + 52+49+47 
 + 85+81+76 
 + 120 + 114 + 108 
 + 156 + 149 + 141 
 + 193 + 183 + 174 
 
 + 43+41+38 
 + 72+68+64 
 
 + IO2 +96+90 
 
 + 132 +124 + 1 16 
 
 + 164 +154 +145 
 
 + 36+34+31 
 + 60 + 55 + 51 
 + 84+77+72 
 + 109 + 101 + 92 
 + 135 + 125 + 116 
 
 + 28+25+22 
 + 46+42+38 
 + 66 + 59 + 54 
 + 85+78+70 
 + 106 +96+87 
 
 + 20 + 17 + 15 
 + 34+29+25 
 + 48 + 42 + 36 
 
 + 62+54+47 
 + 77+67+58 
 
 + 12 + 10 + 7 
 + 21 + 17 + 13 
 
 + 30 + 24 + 1 8 
 + 39+31+23 
 + 48+39+29 
 
 + 5+20 
 + 8+40 
 
 + 12 + 6 
 
 + 16 + 8 o 
 +19+10 o 
 
 2-18 
 16 
 14 
 12 
 1O 
 
 2 -OS 
 O6 
 2O4 
 
 + 232 + 221 +209 
 + 272 +258 +245 
 + 314 +299 +282 
 
 + 197 + 186 + 174 
 + 231 +217 +204 
 + 267 +252 +236 
 
 + 163 +151 +139 
 + 191 +178 + 164 
 + 220 +204 + 188 
 
 + 128 + 116 +104 
 + 150 +137 +123 
 + 174 + 158 +142 
 
 + 93+81+70 
 + 109 +95+82 
 + 126+111 + 95 
 
 + 58+46+35 
 + 68 + 55 + 4> 
 + 79+63+47 
 
 +23+12 o 
 + 27+14 o 
 +32+16 o 
 
 2 'OS 
 06 
 
 2 04 
 
 
 
 
 
 This Table is complementary to Table XLVI and supplies a correction to Latitude. 
 
 269 
 
XLII continued 
 
 SATELLITE IV 
 
 Tables of the Phenomena 
 
 Correction of High Latitude for Variation 
 
 \Var. 
 
 o +-o +-o 
 
 + +-0 +-0 
 
 +-o +-o +-o +-o +-o +-o 
 
 +0 +-o +-o 
 
 + +-0 +'0 
 
 + +'0 +'0 
 
 Via./ 
 
 Lat\ 
 
 OOO OO4 OO8 
 
 O1 2 O1 6 O2O 
 
 O24 O28 O32 O36 O4O O44 
 
 O48 052 056 
 
 060 O64 068 
 
 O72 076 08O 
 
 / Lat. 
 
 25O 
 
 o + 20 + 40 
 
 + 59+79+99 
 
 + 120 +140 +159+179 +199 +220 
 
 + 240 + 260 + 280 
 
 + 300 + 321 +341 
 
 + 362 +382 +402 
 
 2-50 
 
 48 
 
 +19+37 
 
 + 56+74+93 
 
 + 113 +131 + 150 
 
 + 168 + 187 +207 
 
 + 225 +244 +263 
 
 + 283 +301 +320 
 
 + 339 +35 8 +377 
 
 48 
 
 46 
 
 o +17+35 
 
 + 52+69+87 
 
 + IO4 +123 +I4O 
 
 + 157 +>75 +193 
 
 + 2IO +228 +246 +264 +28l +299 
 
 + 3'7 +335 +353 
 
 46 
 
 44 
 
 o +16+32 
 
 + 48+64+81 
 
 + 97+114+130 
 
 + 146 + 162 + 179 
 
 + 195 +212 +229 
 
 + 245 +261 + 278 
 
 + 294 +311 +328 
 
 44 
 
 42 
 
 o +15+30 
 
 + 45+59+74 
 
 + 89 + 105 + 120 
 
 + 135 + 150 + 164 
 
 + 180 + 195 +210 
 
 + 226 +241 +256 
 
 + 271 +286 +302 
 
 42 
 
 4O 
 
 o +13+27 
 
 + 41+54+68 
 
 + 8 1 + 96+109 
 
 + 123 +137 +150+165 +178 +192 
 
 + 207 +220 +234 
 
 + 248 +262 +276 
 
 4O 
 
 2-38 
 
 o +12+25 
 
 + 37 + 49 + 6l 
 
 + 74 + 87 + 99 
 
 + in + 124 + 136 
 
 + 149 + 161 +174 
 
 + 187 +199 +2Il' + 225 +237 +249 
 
 238 
 
 36 
 
 O + I I + 22 
 
 + 33+44+55 
 
 + 66+77+88 
 
 + 99+110+121 
 
 + 133 +144 + 155 
 
 + 1 66 +178 +189+200 +212 +223 
 
 36 
 
 34 
 
 o +10+19 
 
 + 29 + 38+48 
 
 + 57+67+77 
 
 + 87+97 +106 
 
 + 116 + 126 + 136 
 
 + 146 +156 +166 + 175 + 1 86 +195 
 
 34 
 
 32 
 
 o + 8 + i6J + 25 + 33 + 41 
 
 + 49+57+66 
 
 + 75+83+9 1 
 
 + 99 +108 +1171+125 +133 +142 
 
 + 150 +158 + 168 
 
 32 
 
 3O 
 
 o + 7+14+20+27+34 
 
 + 41 + 47 + 55 
 
 + 62+69+75 
 
 + 82+90+97 
 
 + 104 + no + 1 1 8 
 
 + 125 + 132 +139 
 
 3O 
 
 228 
 
 o + 5 + ii 
 
 + 16+21+27 
 
 + 32+37+44 
 
 + 49+54+60 
 
 + 65+70+76 
 
 + 82+87+92 
 
 + 99 + 104 + 109 
 
 2'28 
 
 26 
 
 + 4+8 
 
 + 12 + 15 + 19 
 
 + 23+27+31 
 
 + 36+39+43 
 
 + 47+51+56 
 
 + 60+63+67 
 
 + 71+76+80 
 
 26 
 
 24 
 
 + 2+5 
 
 + 7 + 9+12 
 
 + 14 + l6 + ig|+ 22 + 24 + 27 
 
 + 29+31+33 
 
 + 37+39+41 
 
 + 44+46+49 
 
 24 
 
 22 
 
 + 1+2 
 
 + 2+3+4 
 
 + 5+5+6 
 
 + 7 + 9 + 9 
 
 + 10 + 11+ 12 
 
 + 12+14+15 
 
 + 16 + 16 + 17 
 
 22 
 
 20 
 
 O I - 2 
 
 - 3 - 3 - 4 
 
 -5-6-7 
 
 - 8 - 7 - 8 
 
 - 9 - 10 - 1 1 
 
 12 - 13 - 12 
 
 13 - '4 - '5 
 
 20 
 
 2-18 
 
 0-2-5 
 
 - 7-10-12 
 
 15 - 17 - 20 
 
 -22-25-26 
 
 - 29 - 32 - 34 
 
 -36-39-41 
 
 - 43 - 45 - 4 8 
 
 218 
 
 16 
 
 0-4-8 
 
 -13-17-21 
 
 -25-29-34 
 
 . 38-42-46 
 
 -49-53-58 
 
 -62-66-70 
 
 - 74 - 79 - 8 3 
 
 16 
 
 14 
 
 O - 6-12 
 
 - 1 8 - 24 - 30 
 
 - 36-42-48 
 
 -54-59-66 
 
 -72-77-82 
 
 - 88 - 94 - 100 
 
 - 106 - 1 12 - 118 
 
 14 
 
 12 
 
 o - 8 - 16 
 
 -23-31-39 
 
 - 47 - 54 - 62 
 
 -70-78-85 
 
 - 93 - ioi - 109 
 
 - 116 - 124 - 132 
 
 -139 - 147 -154 
 
 12 
 
 1O 
 
 o -1019 
 
 - 29 - 39 - 48 
 
 -58-67-77 
 
 - 87 - 96 - 106 
 
 -116-125 - 135 
 
 -145 -154 -164 
 
 -174 -183 -193 
 
 1O 
 
 2O8 
 
 - 12 - 2J 
 
 -35-46-58 
 
 -70-81-93 
 
 - 104 - 116 - 128 
 
 -139 - 151 -163 
 
 -174 -186 -197 
 
 - 209 - 221 - 232 
 
 208 
 
 O6 
 
 o - 14 - 27 
 
 -41-55-68 
 
 - 82 - 95 - 109 
 
 -123 -137 -150 
 
 - 164 - 178 - 191 
 
 - 206 - 219 - 233 
 
 - 247 - 260 - 274 
 
 06 
 
 204 
 
 o -16-32 
 
 - 47 - 63 - 79 
 
 - 95 - in - 126 
 
 -142 -158 -174 
 
 - 190 - 2O6 - 222 
 
 - 238 -254 -269 
 
 - 286 - 301 - 3l8 
 
 204 
 
 XLII continued 
 
 
 \Var. 
 V 
 
 +0 +-0 +-0 
 
 +0 +-o +-0 
 
 + '0 +-0 +'0 
 
 + +-0 +'0 
 
 +-o +-o +-o 
 
 +-o +-o +-o 
 
 + +-0 +'0 
 
 Var./ 
 
 Lat\ 
 
 O8O O84 O88 
 
 092 O96 1OO 
 
 1O4 1O8 112 
 
 116 12O 124 
 
 128 132 136 
 
 14O 144 148 
 
 152 156 16O 
 
 /Lat. 
 
 2-5O 
 
 + 402 +422 +443 
 
 + 463 +484 +504 
 
 + 525 +545 +566 
 
 + 587 +607 +628 
 
 + 648 +669 +690 
 
 + 711 +731 +752 
 
 + 773 +794 +8'6 
 
 2 50 
 
 48 
 46 
 44 
 
 + 377 +397 +4'6 
 + 353 +37' +388 
 + 328 +345 +361 
 
 + 435 +454 +474 
 + 407 +425 +442 
 
 + 378 +394 +4 11 
 
 + 493 +512 +532 
 + 461 +479 +497 
 + 428 +444 +462 
 
 + 55' +570 +59 
 + 5'5 +533 +55 2 
 + 479 +495 +5 12 
 
 + 609 +629 +649 
 + 569 + 587 +606 
 + 529 +546 +563 
 
 + 668 +688 +707 
 + 624 +643 +661 
 + 579 +597 +614 
 
 + 727 +747 +766 
 + 679 +698 +716 
 + 631 +648 +665 
 
 48 
 46 
 44 
 
 42 
 
 + 302 +317 +333 
 
 + 348 +364 +380 
 
 + 395 +410 +426 
 
 + 441 +457 +473 
 
 + 488 +503 +519 
 
 + 535 +55' +567 
 
 + 583 +599 + 6 '3 
 
 42 
 
 4O 
 
 + 276 +290 +305 
 
 + 3i8 +333 +346 
 
 + 361 +374 +389 
 
 + 404 +418 +432 
 
 + 446 +461 +474 
 
 + 489+504+518 
 
 + 533 +547 +562 
 
 4O 
 
 2-38 
 
 + 249 +262 +275 
 
 + 288 +300 +314 
 
 + 3*7 +339 +352 
 
 + 365 +378 +39 1 
 
 + 403 +417 +430 
 
 + 443 +456 +469^482 +495 +508 
 
 238 
 
 36 
 
 + 223 +234 +245 
 
 + 257 +268 +280 
 
 + 291 +303 +314 
 
 + 326 +338 +349 
 
 + 361 +372 +384 
 
 + 395 +407 +419+430 +442 +454 
 
 36 
 
 34 
 
 + 195 +205 +216 
 
 + 225 +236 +245 
 
 + 256 +265 +276 
 
 + 286 +296 +307 
 
 + 316 +327 +337 
 
 + 347 +358 +368 
 
 + 379 +388 +399 
 
 34 
 
 32 
 
 + 168 + 176 + 185 
 
 + 193 +201 + 211 
 
 + 219 +228 +236 
 
 + 245 +253 +263 
 
 + 272 +280 +289 
 
 + 298 + 306 +316 
 
 + 325 +333 +342 
 
 32 
 
 3O 
 
 + 139 +146 +153 
 
 + 161 + 167 + 175 
 
 + 182 + 189 + 197 
 
 + 2O4 +211 +219 
 
 + 226 +233 +240 
 
 + 248 +256 +262 
 
 + 270 +278 +285 
 
 3O 
 
 2-28 
 
 + 109 +116 +121 
 
 + 126 +133 +138 
 
 + 144 +150 +156 
 
 + 161 +167 + 173 
 
 + 179 + 185 +191 
 
 + 196 +203 + 208 
 
 + 214 +220 + 226 
 
 228 
 
 26 
 
 + 80+84+88 
 
 + 92 + 96 + ioi 
 
 + 105 + 1 10 + 1 14 
 
 + 117 +122 +126 
 
 + 131 +135 +140 
 
 + 143 +148 +153 
 
 + 157 + 162 + 166 
 
 26 
 
 24 
 
 + 49+52+54 
 
 + 57+60+62 
 
 + 65+68+70 
 
 + 73+75+79 
 
 +81+83+87 
 
 + 89+92+95 
 
 + 98 + 100 + 104 
 
 24 
 
 22 
 
 + 17 + 19+20 
 
 + 20+21+25 
 
 + 24+25+26 
 
 + 27 + 28 + 30 
 
 + 30 + 32 + 33 
 
 + 34+35+3 6 
 
 + 38+39+40 
 
 22 
 
 2O 
 
 - 15 - 1 6 - 1 6 
 
 - 16 - 17 - 18 
 
 - 18 - 19 - 20 
 
 - 19 - 20 - 21 
 
 - 21-22-23 
 
 - 23 - 23 - 24 
 
 - 24 - 25 - 25 
 
 2O 
 
 218 
 
 -4 8 -5o-53 
 
 - 55 - 57 - 59 
 
 62 - 64 - 66 
 
 - 68 - 71 - 73 
 
 - 75 - 77 - 80 
 
 - 82 - 84 - 86 
 
 - 89 - 90 - 93 
 
 2-18 
 
 16 
 
 - 83 - 86 - 90 - 94 - 99 - 101 
 
 - 107 - no - 114 
 
 - 119 - 123 - 126 
 
 -130 -134 -139 
 
 - 142 - 146 - 150 
 
 - 154 -157 -162 
 
 16 
 
 14 
 
 - 118 - 124 - 130 - 136 - 142 - 147 
 
 -153 -159 -165 
 
 - 170 - 176 - 182 
 
 -187 -193 -199 
 
 - 2O5 - 211 - 2l6 
 
 - 222 - 228 - 234 
 
 14 
 
 12 
 
 - 154 - 162 - 170 
 
 -178 -185 -193 
 
 - 201 - 209 - 2l6 
 
 -224 -232 -239 
 
 -246 -254 -262 
 
 - 270 -278 - 285 
 
 - 293 - 301 - 308 
 
 12 
 
 1O 
 
 193 203 - 212 
 
 - 222 - 232 - 241 
 
 - 251 - 260 - 270 
 
 - 280 - 289 - 299 
 
 - 309 - 318 - 328 
 
 -33 8 -347 -357 
 
 -367 -376 -385 
 
 1O 
 
 208 
 
 -232 -244 -255 
 
 -268 - 280 -291 
 
 -33 -3'5 -326 
 
 -338 -349 -36i 
 
 -373 -384 -39 6 
 
 -407 -419 -431 
 
 - 442 - 454 - 466 
 
 2 08 
 
 06 
 
 - 274 - 288 - 301 
 
 -315 -329 -343 
 
 -357 -37' -384 
 
 -398 -412 -425 
 
 -439 -454 -4 6 7 
 
 -481 -495 -508 -522 - 537 -550 
 
 06 
 
 2-O4 
 
 -318 -334 -349 
 
 - 365 -381 -398 
 
 -413 -429 -445 
 
 -461 -478 -493 
 
 -509 -525 -542 
 
 -558 -573 -590 -606 -622 -638 
 
 2 04 
 
 This Table is complementary to Table XLVI and supplies a correction to Latitude. 
 
 zyo 
 
 The unit equals o'ooooi. 
 
XLIII 
 
 SATELLITE IV 
 
 Tables of the Phenomena 
 
 Correction of High Latitudes 
 
 Eel., Oc. 
 
 M 
 
 J\ 
 
 Qd -|d 2 d 
 
 3 d 4 d 5" 
 
 6 jd gd 
 
 9 d 1O d 11 d 
 
 12 d 13 d 14 d 
 
 15 d ie d 17 d 
 
 18 d 19 d 2O d 
 
 d 
 
 O-8 
 1O 
 
 1-2 
 1'4 
 1-6 
 1-8 
 2O 
 
 22 
 2'4 
 2-6 
 2-8 
 
 * * -44 
 -48 -51 -52 
 
 -55 -58 -59 
 - 60 - 62 - 63 
 -63 -66 -66 
 .65 -68 -68 
 - 66 - 69 - 69 
 
 -65 -67 -68 
 - 63 * * 
 
 -44 -43 -40 
 -52 -50 -47 
 
 -58 -56 -52 
 -62 -59 -55 
 -65 -62 -58 
 _6 7 -63 -59 
 -67 -64 -59 
 
 * * # 
 * * * 
 
 
 
 
 
 
 -43 -38 -32 
 
 -47 -42 -35 
 
 -5 -45 -39 
 -53 -47 -41 
 -54 -48 -42 
 -54 -4 8 -42 
 
 -52 -46 -4> 
 
 * * 40 
 
 * * * 
 
 -31-26 * 
 -33 -29 -28 
 -36 -32 - 31 
 -37 -33 -33 
 -37 -34 -34 
 
 -36 -33 -33 
 -35 -33 -32 
 
 * * * 
 
 * * * 
 -3 -35 -43 
 
 -34 -39 ~4 6 
 -36 -41 -48 
 
 -37 -42 -49 
 
 -36 -42 -49 
 -35 -4i -48 
 -33 -39 -45 
 -31 -36 -42 
 
 * * -49 
 
 -45 -52 -55 
 -50 -56 -61 
 -54 - 60 - 64 
 -56 -62 -66 
 
 -57 -63 -67 
 
 -56 -62 -66 
 - 54 - 60 - 64 
 
 -51-57 * 
 
 -52 -52 -51 
 
 -58 -59 -57 
 -63 -63 -61 
 -66 -66 -64 
 -68 -68 -66 
 -69 -68 -66 
 
 -67-67 * 
 * * * 
 * * * 
 
 * * * 
 
 * * * 
 
 * * * 
 
 33 3 1 3 1 
 * - 29 - 29 
 
 
 
 56 
 58 
 6O 
 
 62 
 64 
 6-6 
 68 
 70 
 
 7-2 
 7'4 
 7'6 
 
 * * * 
 
 * * * 
 
 * * * 
 
 * -5' -45 
 
 -58 -53 -46 
 -61 -55 -48 
 
 -62 -56 -49 
 
 -63 -57 -5 
 -62 -56 -48 
 
 -59 -53 -46 
 -56 -50 -42 
 
 -50-44 * 
 
 * * * 
 
 -38 -33 -3i 
 -40 -34 -32 
 -42 -36 -33 
 
 -42 -37 -34 
 -42 -37 -34 
 -4i -35 -33 
 -38 -33 -3i 
 -35 -30 -28 
 
 * * * 
 * * * 
 
 
 -32-34 * 
 -33 -35 -4 
 
 -34 -36 -4' 
 -34 -37 -42 
 -33 -37 -42 
 -32 -35 -4i 
 -29 -33 -38 
 
 -25 -29 -35 
 * * -31 
 
 * * * 
 -45 * * 
 
 -47 * * 
 -47 -54 -59 
 -4 8 -54 -59 
 -46 -52 -58 
 
 -44 -5 -54 
 
 -41 -46 -50 
 -37 -4i -45 
 
 -38-44 * 
 
 -39 -45 -5i 
 -40 -46 -52 
 -40 -46 -52 
 -39 -45 -5' 
 -37 -42 -4 8 
 
 -33 -39 -44 
 -29 -35 -40 
 
 * * -34 
 
 * * * 
 
 * * * 
 -57 -6z -66 
 -57 -62 -66 
 -56 -60 -64 
 
 -53 -57 -60 
 
 -49 -53 -55 
 -44 -47 -49 
 
 -38 -41 -42 
 
 * * -66 
 
 * -68-65 
 -68 -69 -67 
 -68 -68 -66 
 -66 -66 -63 
 62 62 - 60 
 
 -57 -56 -54 
 -50 -49 -48 
 
 
 
 
 
 
 92 
 94 
 96 
 9-8 
 1O O 
 
 1O-2 
 104 
 106 
 1O 8 
 11 O 
 
 11-2 
 
 
 
 
 + 45 +47 +47 
 + 52 +54 +54 
 
 + 57 +59 +59 
 + 63 +64 +63 
 + 66 +67 +67 
 
 + 67 +68 +68 
 + 68 +69 +68 
 + 66+67 * 
 
 + 46 +44 +41 
 
 + 52 +50 +46 
 
 + 57 +54 +49 
 + 61 +58 +53 
 + 64 +60 +55 
 
 + 66 +62 +58 
 + 65 +61 +55 
 
 * * * 
 
 + 36+31 * 
 + 41 +35 + 29 
 + 44 +38 +33 
 + 48 +42 +36 
 + 50 +44 +38 
 
 + 52 +47 +41 
 + 49 +44 +38 
 + 48 +43 +38 
 
 * * * 
 + 24 * * 
 + 28 +25 +25 
 + 31 +29 +30 
 + 34 +32 +33 
 
 + 38 +36 +37 
 + 35 +34 +36 
 + 34 +33 +35 
 + 33 +3* +34 
 + 31 +30 +32 
 
 + 29 +28 +30 
 
 + 31 +25 * 
 + 34 +29 +26 
 + 38 +32 +30 
 + 40 +35 +32 
 
 + 41 +39 +36 
 + 40 +36 +34 
 + 39 +35 +33 
 + 38 +33 +3* 
 * +31 +30 
 
 * * +28 
 
 * * * 
 + 25 +28 +26 
 + 29 +33 +39 
 + 33 +36 +43 
 
 + 36 +39 +45 
 
 + 35 +39 +45 
 + 34 +38 +44 
 
 + 33 +37 + 42 
 + 31 +34 +40 
 
 + 29 +32 +37 
 
 * * +49 
 + 41 +48 +54 
 + 46 +53 +59 
 + 5 +57 +63 
 
 + 52 +58 +64 
 
 + 52 +59 + 6 4 
 + 51 +58 +63 
 + 49 +56 +61 
 
 
 
 
 + 43 * * 
 
 * * * 
 
 
 
 
 
 13-8 
 14-0 
 
 14-2 
 14-4 
 146 
 14-8 
 150 
 
 152 
 154 
 15-6 
 15'8 
 
 * * +45 
 * +54+48 
 
 + 62 + 57 +51 
 + 64 +60 +53 
 + 65 +61 +54 
 + 66 +61 +54 
 + 64 +59 +53 
 
 + 62 +57 +50 
 
 + 57 +52 +45 
 + 5 1 + 46 * 
 * * * 
 
 + 39 +33 +29 
 + 42 +36 +32 
 
 + 44 +38 +34 
 + 46 +40 +35 
 + 47 +40 +35 
 + 47 +40 +35 
 + 45 +38 +33 
 
 + 43 +35 +3' 
 + 38 +31 +27 
 * * * 
 * * * 
 
 
 
 
 
 
 
 
 
 
 + 52 +46 +40 
 
 + 56 +49 +42 
 + 58 +51 +44 
 
 + 59 +52 +45 
 + 59 +52 +44 
 
 + 57 +5 +43 
 
 + 55 +4 8 +4 
 + 50 +43 +36 
 
 * * * 
 * * * 
 
 + 32 +32 +35 
 + 32 +34 +37 
 + 33 +34 +38 
 + 34 +35 +38 
 + 32 +33 +38 
 
 + 30 +32 +36 
 + 27 +29 +34 
 * +25 +31 
 * * * 
 
 
 
 * * +61 
 
 + 40 * * 
 + 42 +47 * 
 + 43 +49 +55 
 + 44 +50 +56 
 + 43 +49 +55 
 
 + 42 +48 +53 
 + 40 +46 +51 
 + 36 +42 +47 
 + 32 +37 +41 
 
 * * * 
 + 60 +65 +67 
 + 61 +65 +68 
 + 60 +64 +67 
 
 + 58 +62 +64 
 
 + 55 +59 + 6 
 + 5 1 +53 +55 
 + 45 +47 +48 
 
 + 67 +66 +63 
 + 69 +68 +64 
 + 69 +68 +64 
 + 68 +66 +63 
 
 + 65 +64 +60 
 + 61 +60 +56 
 
 + 55 +53 +50 
 + 48+46 * 
 
 176 
 17-8 
 180 
 
 * * -49 
 -52 -55 -56 
 - 58 -61 - 62 
 
 -48 -49 -44 
 -55 -53 -50 
 -59 -S 8 -53 
 
 - 40 * * 
 -45 -40 -34 
 -48 -44 -37 
 
 * * * 
 * * * 
 -32 -28 * 
 
 * * * 
 
 * * * 
 * * * 
 
 * * * 
 * * -52 
 -48 -54 -58 
 
 * -49-48 
 
 -55 -56 -54 
 - 61 -61 - 63 
 
 ,. h.,. h . OT .r.r.n.rf Th, nnft -mm], n -,. This Table is complimentary to Table XLVII. When the Latitude as derived from Jable. 
 
 onstant nas neen applied, me unit equais o ooooi. 'j w YTTT 
 
 XXX-XXXVII lies between o so and 0-95 or between 2 - 5 o and 5 , it supplies an equation which must be applied to it before it is used as argument 
 
 271 
 
XLIV 
 
 SATELLITE IV 
 
 Tables of the Phenomena 
 
 Correction of High Latitudes 
 
 Sh., Tr. 
 
 \M 
 \ 
 
 O d 1 d 2 d 
 
 3 d 4 d 5 <i 
 
 6'i yd 3d 
 
 9-1 1Q d 1t d 
 
 12 d 13 d 14 d 
 
 1 5 d 1 6 d 1 7 d 
 
 18 d 19 d 2O d 
 
 d 
 O 8 
 
 * * -t- I S 
 
 + 7 O -1- 7 
 
 
 
 
 
 
 1 'O 
 
 4- Q * I I 
 
 16 17 ic 
 
 9 o + 1 2 
 
 
 
 
 
 12 
 1-4 
 16 
 18 
 20 
 
 22 
 24 
 
 2fi 
 
 -15 -25 -31 
 
 -33 -4 -4 6 
 -46 -52 -56 
 -55 -61 -64 
 -61 -67 -69 
 
 -64 -68 -70 
 - 64 * * 
 
 -34 -34 -3' 
 -47 -45 -4 1 
 -57 -55 -5' 
 -64 -61 -57 
 -68 -65 -60 
 
 * * * 
 * * * 
 
 -24 -16 - 5 
 - 36 -28 - 19 
 
 -45 -37 -28 
 -5i -43 -35 
 -54 -47 -39 
 
 -54 -47 -4i 
 * * - 41 
 
 + 5 +16 * 
 
 -8 + 6 
 
 -20 - 12 - 8 
 
 -27 -2i -18 
 
 -32 -27 -25 
 
 -34 -29 -28 
 -35 -3* -3 
 
 * * * 
 + 8 + 4-5 
 
 - 8 - 12 - 20 
 -19 -22 -32 
 -26 -31 -40 
 
 -30 -36 -43 
 -32 -38 -46 
 
 + 6-8 -18 
 - 15 - 26 - 36 
 - 30 - 40 - 48 
 -41 -50 -57 
 -48 -56 -63 
 
 -52 -60 -65 
 -52 -60 -66 
 
 -27 -33 -34 
 -43 -4 6 -47 
 -54 -57 -57 
 - 62 - 64 - 64 
 -67 -68 -67 
 
 -68-70 * 
 
 * * * 
 
 4-A 
 
 
 
 
 34 3 1 3 1 
 
 32 30 44 
 
 51 5 * 
 
 
 
 
 
 
 * 3 3 
 
 3 1 36 43 
 
 49 * * 
 
 
 5'fi 
 
 
 
 
 
 
 
 
 5-0 
 
 
 
 
 
 38 33 3 1 
 
 32 * * 
 
 
 60 
 
 62 
 64 
 66 
 68 
 7O 
 
 7-2 
 7 '4 
 
 -38 -46 * 
 
 -41 -45 -52 
 -33 -43 -5i 
 -3i -39 -47 
 -23 -32 -41 
 -13 -22 -31 
 
 + 3-9 -'7 
 
 + 2* 4- Q I 
 
 * * * 
 
 * * * 
 -57 -62 -66 
 -53 -60 -62 
 -47 -5* -55 
 
 -37 -4* -44 
 
 -24 -29 -29 
 7 ii ii 
 
 * * -67 
 
 * -69-64 
 -67 -66 -62 
 -63 -60 -55 
 
 -55 -5* -45 
 -43 -37 -3* 
 
 -28 - 21 - 13 
 
 -59 "53 -45 
 
 -60 -53 -45 
 
 -59 -5i -4* 
 
 -55 -47 -38 
 -48 -39 -29 
 
 -44 -*7 -17 
 
 - 22 - II O 
 - I + 12 * 
 
 - 39 - 33 - 3 1 
 
 -38 -32 -3 
 
 -35 -30 -28 
 -29 -25 -23 
 -2i - 16 - 16 
 
 -8-4-7 
 
 + 8 +12 +10 
 
 * * * 
 
 -3 Z ~35 * 
 -3i -35 -4i 
 
 -29 -33 -40 
 -25 -31 -38 
 - 19 - 26 - 33 
 10 17 26 
 + 4-6 -15 
 
 + 22 +11 - I 
 
 -47 * * 
 
 -47 * * 
 
 -45 -54 - 6o 
 -42 -50 -55 
 
 -34 -4 2 -5 
 -25 -33 -39 
 
 - 12 - 20 - 24 
 4- C 1 Q 
 
 7'6 
 
 * * 4- 2 3 
 
 + IC +11 4-I/L 
 
 
 
 
 
 T 3 3 y 
 
 
 
 
 
 
 
 
 
 9-9 
 
 
 
 
 
 
 
 
 9 -A. 
 
 
 
 
 
 1 + 1-3 
 
 13 24 * 
 
 
 96 
 9-8 
 10 O 
 
 102 
 104 
 106 
 1 fl-R 
 
 + 5-S-I5 
 + 19 + 9 + 2 
 
 + 28 +20 +14 
 
 + 34 +30 +24 
 + 38 +31 +27 
 + 39 +33 +3 
 
 -21 -22 - 15 
 
 -3-2+4 
 
 + 12 +13 +19 
 + 22 +24 +29 
 
 + 27 +29 +35 
 + 3 +33 +39 
 
 -4-lf 4- 1C 4- AH 
 
 -8 + 4+16 
 + 12 +23 +33 
 + 27 +37 +47 
 
 + 37 +46 +55 
 
 + 43 +52 +59 
 
 + 47 +55 +62 
 
 + 26 +33 +37 
 + 42 +47 +50 
 + 54 +58 +60 
 
 + 61 +64 +66 
 + 66 +69 +69 
 + 67+69 * 
 
 + 37 +35 + Z 9 
 + 49 +47 +4' 
 + 59 +55 +49 
 
 + 65 +61 +56 
 + 67 +63 +56 
 
 * * * 
 
 3 '5 
 
 + 22 +12 + 3 
 
 + 34 +25 +16 
 + 42 +34 +25 
 
 + 49 + 42 +34 
 + 49 +42 +35 
 
 + 50 +44 +37 
 
 - 8 - 18 -22 
 
 + 6 o -- 3 
 + 18 +13 +12 
 
 + 28 +24 +23 
 + 29 +27 +17 
 + 32 +29 +30 
 
 nfl 
 
 3y 33 T 3* 
 
 T $ I T 5 ^ T 4-U 
 
 
 
 
 
 ^ } 5 T Jl T 3* 
 
 1 1 '4 
 
 * T J 3 T JU 
 
 3 l T- 3 3 T 4 
 
 4- 2O 4- 7* 4- 28 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 -f -Q 
 
 
 
 
 
 
 
 
 i a. n 
 
 * 4- Cf) -1- AQ 
 
 4, j f 4. ifa 4. 22 
 
 
 
 
 
 4- C 1 4- J_6 4- J.O 
 
 1 A*O 
 
 -r ju -r q-y 
 
 
 
 
 
 
 
 144 
 146 
 148 
 ISO 
 
 152 
 154 
 15-6 
 15'8 
 
 4 T 5/ T >u 
 
 + 64 +58 +49 
 + 62 +56 +47 
 + 58 +51 +41 
 
 + 50 +42 +33 
 
 + 40 +30 +19 
 + 24 +12 o 
 
 +211 * 
 
 * * * 
 
 + 41 +35 +31 
 + 39 +31 +27 
 + 33 +25 +21 
 + 23 +16 +12 
 
 +10+2 
 
 - 10 - 17 - 18 
 
 * * * 
 * * * 
 
 31 +32 +34 
 + 29 +32 +36 
 + 26 +29 +35 
 
 + 22 +26 +31 
 
 + 14 +18 +26 
 
 + 2 + 9 +17 
 -13-6 + 5 
 * - 25 - ii 
 
 * * * 
 
 + 43 +49 * 
 + 42 +49 +56 
 
 + 39 +47 +55 
 + 34 +42 +50 
 
 + 26 +35 +42 
 + 16 +25 +33 
 o +u +19 
 - 20 - 8 o 
 
 * * * 
 + 62 +68 +69 
 + 61 +65 +67 
 + 56 +59 +61 
 
 + 48 +52 +52 
 + 38 +41 +40 
 + 24 +25 +24 
 + 5 + 5 + * 
 
 + 70 +67 +62 
 + 69 +66 +60 
 + 66 +62 +55 
 + 60 +55 +48 
 
 + 5 +45 +36 
 + 37 + Z 9 + ZI 
 + 19 +10 - i 
 -5-16 * 
 
 + 56 +47 +39 
 + 53 +44 +36 
 + 48 +39 +30 
 + 39 +29 +21 
 
 + 27 +15 + 7 
 + 9-3 -12 
 
 * * * 
 * * * 
 
 176 
 178 
 180 
 
 * * + 2 
 
 - 3 -14 -2i 
 -24 -33 -39 
 
 .5-9-4 
 -25 -26 -23 
 
 -41 -40 -36 
 
 + 2 * * 
 -17-8 + 4 
 - 3O - 22 - 12 
 
 * * * 
 * * * 
 
 -2 + 8 * 
 
 # * * 
 * * * 
 
 * * * 
 
 * * * 
 * * - 7 
 - 5 -'7 -27 
 
 * - i - 5 
 - 17 - 23 - 26 
 -35 -40 -41 
 
 No coustant haB been applied. The unit equals o'oooot. This Table is complementary to Table XLVIII. When the Latitude as derived from 
 
 Tables XXX XXX VIII lies between 0-50 and 0-95 or between 2-50 and 2-05, it supplies an equation which must be applied to it before it Is used as argument of Table XLVa 
 
XLVa 
 
 SATELLITE IV 
 
 Tables of the Phenomena 
 
 Semiduration 
 
 Argument Latitude 
 
 I 
 
 z 
 
 3 
 
 4 
 
 5 
 
 6 
 
 Lat. 
 
 Semi- 
 duration. 
 
 A 
 
 ooi 
 
 ^ 
 
 Corr 11 . 
 Sh., Tr. 
 
 Lat. 
 
 
 d 
 
 
 
 
 
 500 
 
 ... 
 
 
 ... 
 
 ... 
 
 2500 
 
 0502 
 
 0'OO64OI 
 
 2266 
 
 47' 
 
 - 3' 
 
 2498 
 
 504 
 
 9052 
 
 II7I 
 
 77 
 
 44 
 
 2496 
 
 506 
 
 1 1084 
 
 935 
 
 4 
 
 54 
 
 2-494 
 
 508 
 
 12793 
 
 804 
 
 26 
 
 62 
 
 2-492 
 
 510 
 
 14298 
 
 7'5 
 
 '9 
 
 69 
 
 2490 
 
 0-512 
 
 0-015654 
 
 651 
 
 '4 
 
 - 76 
 
 2488 
 
 514 
 
 16902 
 
 602 
 
 ii 
 
 82 
 
 2486 
 
 516 
 
 18060 
 
 561 
 
 9 
 
 87 
 
 2-484 
 
 518 
 
 19145 
 
 528 
 
 8 
 
 92 
 
 2-482 
 
 520 
 
 20172 
 
 501 
 
 6 
 
 98 
 
 2480 
 
 0-522 
 
 0-021148 
 
 477 
 
 6 
 
 - IO2 
 
 2478 
 
 524 
 
 22078 
 
 455 
 
 5 
 
 107 
 
 2-476 
 
 526 
 
 22968 
 
 436 
 
 5 
 
 III 
 
 2-474 
 
 528 
 
 23822 
 
 419 
 
 4 
 
 "5 
 
 2-472 
 
 530 
 
 24645 
 
 405 
 
 3 
 
 119 
 
 2 470 
 
 0-532 
 
 0-025441 
 
 392 
 
 3 
 
 -123 
 
 2468 
 
 534 
 
 26211 
 
 379 
 
 3 
 
 127 
 
 2466 
 
 536 
 
 26958 
 
 368 
 
 3 
 
 130 
 
 2464 
 
 538 
 
 27683 
 
 358 
 
 3 
 
 '34 
 
 2462 
 
 54O 
 
 28388 
 
 348 
 
 2 
 
 137 
 
 2460 
 
 542 
 
 0-029074 
 
 339 
 
 2 
 
 -141 
 
 2-458 
 
 544 
 
 *9743 
 
 331 
 
 2 
 
 H3 
 
 2-456 
 
 546 
 
 3397 
 
 323 
 
 2 
 
 H7 
 
 2454 
 
 548 
 
 3>35 
 
 315 
 
 2 
 
 150 
 
 2452 
 
 550 
 
 31658 
 
 39 
 
 2 
 
 153 
 
 2450 
 
 552 
 
 0-032269 
 
 302 
 
 2 
 
 -156 
 
 2448 
 
 554 
 
 32866 
 
 296 
 
 
 '59 
 
 2446 
 
 556 
 
 33453 
 
 291 
 
 
 162 
 
 2-444 
 
 558 
 
 34029 
 
 285 
 
 
 164 
 
 2442 
 
 560 
 
 3459* 
 
 279 
 
 
 167 
 
 2440 
 
 562 
 
 0-035145 
 
 275 
 
 
 -170 
 
 2-438 
 
 564 
 
 35690 
 
 270 
 
 
 172 
 
 2-436 
 
 566 
 
 36226 
 
 265 
 
 
 175 
 
 2-434 
 
 568 
 
 36751 
 
 261 
 
 
 178 
 
 2-432 
 
 570 
 
 37268 
 
 256 
 
 
 1 80 
 
 2430 
 
 0-572 
 
 0-037776 
 
 *53 
 
 
 -183 
 
 2-428 
 
 574 
 
 38278 
 
 249 
 
 
 185 
 
 2-426 
 
 576 
 
 38772 
 
 246 
 
 
 187 
 
 2-424 
 
 578 
 
 39260 
 
 242 
 
 
 190 
 
 2-422 
 
 580 
 
 39739 
 
 *38 
 
 
 192 
 
 2420 
 
 582 
 
 0-040212 
 
 235 
 
 
 -194 
 
 2-418 
 
 584 
 
 40678 
 
 232 
 
 
 197 
 
 2-416 
 
 586 
 
 41138 
 
 229 
 
 
 199 
 
 2414 
 
 588 
 
 41592 
 
 226 
 
 
 2OI 
 
 2-412 
 
 590 
 
 42040 
 
 123 
 
 
 203 
 
 2-41 
 
 0-592 
 
 0-042482 
 
 220 
 
 
 -20 5 
 
 2 408 
 
 594 
 
 42919 
 
 217 
 
 
 2O7 
 
 2-406 
 
 596 
 
 4335 
 
 214 
 
 
 2IO 
 
 2404 
 
 598 
 
 43776 
 
 212 
 
 
 212 
 
 2-402 
 
 600 
 
 0^044199 
 
 210 
 
 
 -*13 
 
 2400 
 
 1 
 
 z 
 
 3 
 
 4 
 
 5 
 
 Lat. 
 
 Semi- 
 duration. 
 
 A 
 
 ooi 
 
 Corr". 
 Sh., Tr. 
 
 Lat. 
 
 
 d 
 
 
 
 
 600 
 
 0-044199 
 
 210 
 
 -*'3 
 
 2400 
 
 0-6O2 
 
 44615 
 
 207 
 
 215 
 
 2-398 
 
 604 
 
 45025 
 
 204 
 
 217 
 
 2396 
 
 606 
 
 4543* ** 
 
 219 
 
 2394 
 
 608 
 
 45835 200 
 
 221 
 
 2392 
 
 61 
 
 46233 198 
 
 223 
 
 2390 
 
 612 
 
 0-046627 196 
 
 -225 
 
 2-388 
 
 614 
 
 47017 194 
 
 227 
 
 2-386 
 
 616 
 
 47403 192 
 
 22 9 
 
 2384 
 
 618 
 
 47785 '9 
 
 231 
 
 2382 
 
 62O 
 
 48162 188 
 
 *33 
 
 2380 
 
 
 
 
 
 622 
 
 0-048535 
 
 186 
 
 -*34 
 
 2378 
 
 624 
 
 48906 
 
 185 
 
 236 
 
 2-376 
 
 626 
 
 49273 ; 183 
 
 238 
 
 2-374 
 
 628 
 
 49637 
 
 181 
 
 240 
 
 2372 
 
 630 
 
 49997 
 
 '79 
 
 242 
 
 2370 
 
 632 
 
 0-050352 
 
 '77 
 
 -*43 
 
 2-368 
 
 634 
 
 50705 
 
 176 
 
 245 
 
 2-366 
 
 636 
 
 51054 
 
 174 
 
 *47 
 
 2-364 
 
 638 
 
 51401 
 
 '73 
 
 248 
 
 2362 
 
 64O 
 
 5 '744 
 
 171 
 
 250 
 
 2-360 
 
 0-642 
 
 0-052085 
 
 170 
 
 -252 
 
 2358 
 
 644 
 
 52423 
 
 1 68 
 
 *53 
 
 2356 
 
 646 
 
 52757 
 
 1 66 
 
 255 
 
 2354 
 
 648 
 
 53088 ; 165 
 
 256 
 
 2352 
 
 650 
 
 S34'8 '64 
 
 258 
 
 2350 
 
 652 
 
 0-053743 162 
 
 -*59 
 
 2-348 
 
 654 
 
 54066 161 
 
 261 
 
 2346 
 
 656 
 
 54387 
 
 1 60 
 
 *6 3 
 
 2-344 
 
 658 
 
 54705 
 
 158 
 
 264 
 
 2-342 
 
 660 
 
 55020 
 
 '57 
 
 266 
 
 2 340 
 
 662 
 
 0-055332 
 
 156 
 
 -267 
 
 2-338 
 
 664 
 
 55643 
 
 '55 
 
 269 
 
 2336 
 
 666 
 
 5595' 
 
 '53 
 
 270 
 
 2-334 
 
 668 
 
 56256 
 
 152 
 
 272 
 
 2-332 
 
 67O 
 
 56559 
 
 '5' 
 
 *73 
 
 2 330 
 
 672 
 
 0-056860 
 
 150 
 
 -*75 
 
 2328 
 
 674 
 
 S7I58 
 
 '49 
 
 276 
 
 2-326 
 
 676 
 
 57454 
 
 148 
 
 278 
 
 2324 
 
 678 
 
 5774 s 
 
 146 
 
 279 
 
 2322 
 
 680 
 
 58040 
 
 '45 
 
 280 
 
 2320 
 
 0682 
 
 0-058329 
 
 '44 
 
 -282 
 
 2-318 
 
 684 
 
 58617 
 
 '43 
 
 283 
 
 2-316 
 
 686 
 
 58902 
 
 142 
 
 284 
 
 2-314 
 
 688 
 
 59185 
 
 141 
 
 286 
 
 2312 
 
 690 
 
 59466 
 
 140 
 
 287 
 
 2-310 
 
 592 
 
 0-059746 
 
 139 
 
 -288 
 
 2308 
 
 694 
 
 60023 
 
 138 
 
 290 
 
 2-306 
 
 696 
 
 60298 
 
 137 
 
 291 
 
 2304 
 
 698 
 
 60571 
 
 '36 
 
 293 
 
 2 302 
 
 0700 
 
 0-060842 
 
 '35 
 
 -294 
 
 2300 
 
 i 
 
 2 
 
 3 
 
 4 
 
 5 
 
 Lat. 
 
 Semi- 
 duration. 
 
 A 
 
 ooi 
 
 Corr". 
 Sh., Tr. 
 
 Lat. 
 
 
 d 
 
 
 
 
 700 
 
 0-060842 
 
 '35,* 
 
 -294 
 
 2 300 
 
 705 
 
 61512 
 
 133,0 
 
 297 
 
 2295 
 
 710 
 
 62172 
 
 130,6 
 
 300 
 
 2-290 
 
 715 
 
 62818 
 
 128,5 
 
 33 
 
 2285 
 
 72O 
 
 63457 
 
 126,6 
 
 307 
 
 2 280 
 
 725 
 
 64084 
 
 124,4 
 
 310 
 
 2275 
 
 0730 
 
 0-064701 
 
 122,3 
 
 -3'3 
 
 2 270 
 
 735 
 
 65307 
 
 120,5 
 
 3'5 
 
 2-265 
 
 74O 
 
 65906 
 
 118,7 
 
 318 
 
 2 260 
 
 745 
 
 66494 
 
 1 1 6,8 
 
 321 
 
 2255 
 
 750 
 
 67074 
 
 115,0 
 
 IH 
 
 2 250 
 
 0755 
 
 0^067644 
 
 "3,z 
 
 -3*7 
 
 2-245 
 
 760 
 
 68206 
 
 ii 1,6 
 
 3*9 
 
 2240 
 
 765 
 
 68760 
 
 IIO,0 
 
 33* 
 
 2235 
 
 77O 
 775 
 
 69306 
 69843 
 
 108,3 
 106,8 
 
 335 
 337 
 
 2 230 
 2-225 
 
 780 
 
 0-070374 
 
 '05,4 
 
 -340 
 
 2-220 
 
 785 
 
 70897 1103,7 
 
 34* 
 
 2-215 
 
 79O 
 
 71411 |IO2,I 
 
 345 
 
 2 210 
 
 795 
 
 71918 100,9 
 
 347 
 
 2 205 
 
 8OO 
 
 72420 
 
 99,5 
 
 350 
 
 2200 
 
 0-805 
 
 0-072913 
 
 97,8 
 
 -35* 
 
 2-195 
 
 81 
 
 7339 8 
 
 96,6 
 
 355 
 
 2-1 9O 
 
 815 
 
 73879 
 
 95-5 
 
 357 
 
 2-185 
 
 820 
 
 74353 
 
 94,' 
 
 359 
 
 2-1 8O 
 
 825 
 
 74820 
 
 92,8 
 
 361 
 
 2-175 
 
 830 
 
 0-075281 
 
 9',5 
 
 -364 
 
 2170 
 
 835 
 
 75735 
 
 9,3 
 
 366 
 
 2165 
 
 840 
 
 76184 
 
 89,1 
 
 368 
 
 2-160 
 
 845 
 
 76626 
 
 88,0 
 
 370 
 
 2-155 
 
 850 
 
 77064 
 
 86,9 
 
 37* 
 
 2150 
 
 0855 
 
 0-077495 
 
 85,6 
 
 -374 
 
 2-145 
 
 860 
 
 77920 
 
 84,4 
 
 376 
 
 2 140 
 
 865 
 
 78339 
 
 83,3 
 
 378 
 
 2 135 
 
 870 
 
 78753 
 
 82,2 
 
 38i 
 
 2130 
 
 875 
 
 79161 
 
 8i,3 
 
 383 
 
 2 125 
 
 0-880 
 
 0-079566 
 
 80,2 
 
 -384 
 
 2120 
 
 885 
 
 79963 
 
 79, 
 
 386 
 
 2-115 
 
 89O 
 
 80356 
 
 78,0 
 
 388 
 
 2-1 1O 
 
 895 
 
 80743 
 
 77,o 
 
 390 
 
 2-105 
 
 9OO 
 
 81126 
 
 76,1 
 
 39* 
 
 2-100 
 
 0905 
 
 0-081504 
 
 75,i 
 
 -394 
 
 2 095 
 
 910 
 
 81877 
 
 74,' 
 
 39 6 
 
 2 090 
 
 915 
 
 82245 
 
 73,* 
 
 397 
 
 2 085 
 
 920 
 
 82609 
 
 72,2 
 
 399 
 
 2 080 
 
 925 
 
 82967 
 
 7,3 
 
 401 
 
 2 075 
 
 930 
 
 0-083322 
 
 70,4 
 
 -402 
 
 2070 
 
 935 
 
 83671 
 
 69,5 
 
 44 
 
 2 065 
 
 940 
 
 84017 
 
 68,6 
 
 406 
 
 2 060 
 
 945 
 
 84357 
 
 67,7 
 
 408 
 
 2055 
 
 950 
 
 0-084694 
 
 66,8 
 
 -409 
 
 2 050 
 
 The A r g ument of Ta b ,e a. . 
 equations of Tables XLII-XUV. The entry must be further corrected by the equations 
 
 from column 4 or 5, and that for Jupiter's Phase from Table LXI mint also be applied. 
 
XLVb 
 
 SATELLITE IV 
 
 Tables of the Phenomena 
 
 Semiduration 
 
 i 
 
 2 
 
 3 
 
 4 
 
 5 
 
 Lat. 
 
 Semi- 
 duration. 
 
 A 
 
 crooi i 
 
 Corr". 
 3h., Tr. 
 
 Lat. 
 
 
 d 
 
 
 
 
 0950 
 
 0-083704 
 
 66,8 
 
 -409 
 
 2050 
 
 0955 
 
 84035 
 
 65,9 
 
 411 
 
 2 045 
 
 O 960 
 
 84363 
 
 65,1 
 
 412 
 
 2040 
 
 0965 
 
 84686 
 
 64,2 
 
 414 
 
 2035 
 
 0970 
 
 85005 
 
 63,3 
 
 4'5 
 
 2030 
 
 0975 
 
 85319 
 
 62,6 
 
 4>7 
 
 2025 
 
 980 
 
 0-085631 
 
 61,8 
 
 -418 
 
 2-020 
 
 0985 
 
 8 5937 
 
 60,8 
 
 420 
 
 2015 
 
 0990 
 
 86239 
 
 59,9 
 
 421 
 
 2 010 
 
 0995 
 
 86538 
 
 59,5 
 
 423 
 
 2005 
 
 1 000 
 
 86834 
 
 58,6 
 
 424 
 
 2000 
 
 1 005 
 
 0*087124 
 
 57,7 
 
 - 426 
 
 1 995 
 
 1 010 
 
 87411 
 
 57,o 
 
 427 
 
 1 990 
 
 1-O15 
 
 87694 
 
 56,3 
 
 428 
 
 1-985 
 
 1 020 
 
 87974 
 
 55,5 
 
 43 
 
 1 980 
 
 1-025 
 
 88249 
 
 54,7 
 
 43i 
 
 1 975 
 
 1 030 
 
 0-08852! 
 
 54, 
 
 -432 
 
 1 970 
 
 1 035 
 
 88789 
 
 53,3 
 
 434 
 
 1 965 
 
 1 040 
 
 89054 
 
 52,5 
 
 435 
 
 1-960 
 
 1 045 
 
 893H 
 
 51,8 
 
 436 
 
 1 955 
 
 1 050 
 
 89572 
 
 S',1 
 
 438 
 
 1 950 
 
 1 055 
 
 0-089825 
 
 5,4 
 
 -439 
 
 1 945 
 
 1 060 
 
 90076 49,7 
 
 440 
 
 1 940 
 
 1 065 
 
 90322 49,0 
 
 44 1 
 
 1 935 
 
 1 070 
 
 90566 48,3 
 
 442 
 
 1 930 
 
 1 075 
 
 90805 47,6 
 
 443 
 
 1-925 
 
 1 080 
 
 0-091042 47,0 
 
 -444 
 
 1-920 
 
 1 085 
 
 91275 
 
 46,2 
 
 446 
 
 1-915 
 
 1 090 
 
 91504 
 
 45, 6 
 
 447 
 
 1 910 
 
 1 095 
 
 91731 
 
 45,o 
 
 448 
 
 1-905 
 
 1 100 
 
 9'954 
 
 44,2 
 
 449 
 
 1-900 
 
 1 105 
 
 0-092173 
 
 43,6 
 
 -45 
 
 1-895 
 
 1-110 
 
 92390 
 
 43,o 
 
 45i 
 
 1 890 
 
 1 115 
 
 92603 
 
 42,3 
 
 452 
 
 1-885 
 
 1-1 2O 
 
 92813 
 
 4i,7 
 
 453 
 
 1-88O 
 
 1-125 
 
 93020 
 
 41,0 
 
 454 
 
 1 875 
 
 1 130 
 
 0-093223 
 
 4, 3 
 
 -455 
 
 1 87O 
 
 1-135 
 
 93423 
 
 39> 8 
 
 456 
 
 1 865 
 
 1-140 
 
 93621 
 
 39,2 
 
 457 
 
 1 860 
 
 1-145 
 
 93815 
 
 38,5 
 
 458 
 
 1-855 
 
 1-15O 
 
 94006 
 
 37,8 
 
 459 
 
 1 850 
 
 1-155 
 
 0-094193 
 
 37,3 
 
 - 460 
 
 1 845 
 
 1-1 6O 
 
 94379 
 
 36,7 
 
 461 
 
 1 840 
 
 1'165 
 
 94560 
 
 36,0 
 
 462 
 
 1-835 
 
 1-1 7O 
 
 94739 
 
 35,5 
 
 462 
 
 1 830 
 
 1-175 
 
 949 5 
 
 34,9 
 
 463 
 
 1'825 
 
 1-180 
 
 0-095088 
 
 34,2 
 
 -464 
 
 1 820 
 
 1 185 
 
 95257 
 
 33,7 
 
 465 
 
 1-815 
 
 1-190 
 
 954*5 
 
 33,' 
 
 466 
 
 1 810 
 
 1-195 
 
 95588 
 
 32,4 
 
 467 
 
 1 805 
 
 1 200 
 
 0-095749 
 
 3i,9 
 
 -467 
 
 1-800 
 
 i 
 
 2 
 
 3 
 
 4 
 
 5 
 
 Lat. 
 
 Semi- 
 duration. 
 
 A 
 O'OOI S 
 
 Corr n . 
 3h., Tr. 
 
 Lat. 
 
 
 d 
 
 1 
 
 
 
 1 200 
 
 0-095749 
 
 31,9 
 
 -467 
 
 800 
 
 1 205 
 
 95907 
 
 31,4 
 
 468 
 
 795 
 
 1 210 
 
 96063 
 
 30,8 ; 469 
 
 790 
 
 1-215 
 
 96215 30,1 470 
 
 785 
 
 1 220 
 
 96364 j 29,6| 470 
 
 78O 
 
 1-225 
 
 96511 29,0 | 471 
 
 775 
 
 1 230 
 
 0-096654 28,4 -472 
 
 77O 
 
 1 235 
 
 9 6 795 
 
 27,9 472 
 
 765 
 
 1 240 
 
 96933 
 
 27,3 473 
 
 760 
 
 1-245 
 
 97068 
 
 26,8 474 
 
 755 
 
 1 250 
 
 972OI 
 
 26,2 
 
 474 
 
 75O 
 
 1-255 
 
 0-097330 
 
 25,6 
 
 -475 
 
 745 
 
 1 260 
 
 97457 
 
 25,1 
 
 476 
 
 74O 
 
 1 265 
 
 97581 
 
 *4,5 
 
 476 
 
 735 
 
 1-27O 
 
 97702 
 
 23,9 
 
 477 
 
 1-73O 
 
 1 275 
 
 97820 
 
 23,4 
 
 477 
 
 1 725 
 
 1 280 
 
 0-097936 
 
 22,9 -478 
 
 1'72O 
 
 1-285 
 
 98049 
 
 22,3 478 
 
 1 715 
 
 1-290 
 
 98159 
 
 *i,7 
 
 479 
 
 1 710 
 
 1-295 
 
 98266 
 
 21,3 
 
 480 
 
 1-7O5 
 
 1 300 
 
 98372 
 
 20,7 
 
 480 
 
 1 70O 
 
 1 305 
 
 0-098473 
 
 20, 1 
 
 -481 
 
 1 695 
 
 1 310 
 
 98573 
 
 19,7 
 
 481 
 
 1 690 
 
 1-315 
 
 98670 
 
 19,2 
 
 482 
 
 1-685 
 
 1 320 
 
 98765 
 
 1 8,6 
 
 482 
 
 1 680 
 
 1-325 
 
 98856 
 
 18,0 
 
 483 
 
 1 675 
 
 1 330 
 
 0-098945 
 
 17,4 
 
 -483 
 
 1 670 
 
 1 335 
 
 99030 
 
 17,0 
 
 483 
 
 1 665 
 
 1 340 
 
 99115 
 
 16,5 
 
 483 
 
 1.66O 
 
 1-345 
 
 99'95 
 
 '5,9 
 
 484 
 
 1 655 
 
 1 350 
 
 99274 
 
 "5,4 
 
 484 
 
 1 650 
 
 1-355 
 
 0-099349 
 
 "4,9 
 
 -484 
 
 1-645 
 
 1 360 
 
 99423 
 
 '4,3 
 
 485 
 
 1 640 
 
 1-365 
 
 99492 
 
 13,7 
 
 485 
 
 1 635 
 
 1 370 
 
 9956o 
 
 13,3 
 
 486 
 
 1 630 
 
 1-375 
 
 99625 
 
 12,8 
 
 486 
 
 1 625 
 
 1-380 
 
 0-099688 
 
 12,3 
 
 -486 
 
 1 620 
 
 1-385 
 
 9974 s 
 
 n,7 
 
 486 
 
 1-615 
 
 1 390 
 
 99805 
 
 u,3 
 
 487 
 
 1 610 
 
 1-395 
 
 99860 
 
 10,8 
 
 487 
 
 1 605 
 
 1 400 
 
 999 '3 
 
 10,2 
 
 487 
 
 1 600 
 
 1 405 
 
 0-099962 
 
 9,6 
 
 -488 
 
 1 595 
 
 1 410 
 
 100009 
 
 9,2 
 
 488 
 
 1 59O 
 
 1 415 
 
 100054 
 
 8,6 
 
 488 
 
 1-585 
 
 1 420 
 
 100095 
 
 8,1 
 
 488 
 
 1 580 
 
 1-425 
 
 i oo 1 3 5 
 
 7,6 
 
 488 
 
 1-575 
 
 1-43O 
 
 o'iooi7i 
 
 7,' 
 
 -489 
 
 1 570 
 
 1-435 
 
 100206 
 
 6,7 
 
 489 
 
 1 565 
 
 1 440 
 
 100238 
 
 6,1 
 
 489 
 
 1-56O 
 
 1-445 
 
 100267 
 
 5,6 
 
 489 
 
 1 555 
 
 1-450 
 
 0-100294 
 
 5,' 
 
 -489 
 
 1 550 
 
 I 
 
 2 
 
 3 
 
 4 
 
 5 
 
 Lat. 
 
 Semi- 
 duration. 
 
 A 
 O'OOI 
 
 Corr n . 
 Sh., Tr. 
 
 Lat. 
 
 
 d 
 
 
 
 
 1 450 
 
 0-100294 
 
 5,' 
 
 -489 
 
 1 550 
 
 1-455 
 
 100318 
 
 4,6 
 
 489 
 
 545 
 
 1-460 
 
 100340 
 
 4. 
 
 489 
 
 54O 
 
 1-465 
 
 100358 
 
 3,5 
 
 490 
 
 535 
 
 1-47O 
 
 100375 
 
 3, 
 
 49 
 
 53O 
 
 1 475 
 
 100388 
 
 2,6 
 
 490 
 
 525 
 
 1-48O 
 
 0-100401 
 
 *,' 
 
 -49 
 
 52O 
 
 1-485 
 
 100409 
 
 ',5 
 
 49 
 
 515 
 
 1-49O 
 
 100416 
 
 1,0 
 
 490 
 
 51 
 
 1-495 
 
 100419 
 
 ,5 
 
 490 
 
 1 505 
 
 1 500 
 
 0-100421 
 
 0,0 
 
 -49 
 
 1 500 
 
 Added Constant: -o d 'ooiooo. The Argument of 
 Table XLV6 la the Latitude as taken from Tables 
 
 xxx-xxxvm. 
 
 The entry must be corrected by the equations from 
 Tables XLVI-LI. For Shadows and Transits the cor- 
 rection from column 4 must be applied, and also that 
 for Jupiter's Phase from Table LXI. 
 
 274 
 
XLVI 
 
 SATELLITE IV 
 
 Tables of the Phenomena 
 
 Equation of Semiduration 
 
 \Var. 
 
 _ -o - -o - -o 
 
 - 'O - 'O - O 
 
 O 'O 'O 
 
 O -n 'Q 
 
 O -O 'Q 
 
 O ft -O 
 
 
 Var./ 
 
 Lat.\ 
 
 160 156 152 
 
 148 144 14O 
 
 136 132 128 
 
 124 12O 116 
 
 112 1O8 1O4 
 
 100 096 092 
 
 088 084 080 
 
 /Lat. 
 
 090 
 
 614 621 628 
 
 635 642 649 
 
 657 664 671 
 
 678 685 692 
 
 700 707 714 
 
 721 728 735 
 
 742 750 757 
 
 210 
 
 92 
 94 
 96 
 98 
 1 00 
 
 572 580 588 
 533 54' 55 
 495 55 5'5 
 460 471 482 
 
 47 439 45' 
 
 597 605 613 
 560 569 578 
 526 536 546 
 
 493 54 5'5 
 
 463 475 486 
 
 621 629 638 
 587 596 606 
 556 566 576 
 526 537 548 
 498 510 522 
 
 646 654 662 
 615 624 633 
 586 596 607 
 
 559 570 581 
 534 546 557 
 
 670 679 687 
 642 652 661 
 617 627 637 
 592 603 614 
 569 581 593 
 
 695 703 711 
 670 679 688 
 647 657 667 
 625 636 647 
 605 616 628 
 
 720 728 736 
 698 707 716 
 677 687 698 
 658 669 680 
 640 652 663 
 
 208 
 
 2 06 
 2-04 
 
 2 02 
 200 
 
 02 
 04 
 O6 
 OS 
 10 
 
 397 49 4" 
 368 381 395 
 341 355 369 
 316 330 345 
 292 307 323 
 
 435 447 4 6 
 408 422 435 
 383 397 411 
 360 375 389 
 338 353 368 
 
 473 485 498 
 448 461 475 
 
 425 439 453 
 404 418 433 
 
 384 398 414 
 
 5'o 523 535 
 488 502 514 
 467 481 495 
 447 462 476 
 429 444 459 
 
 548 560 573 
 5*8 54i 555 
 S9 523 537 
 491 506 521 
 
 475 490 505 
 
 586 598 611 
 568 581 594 
 55i 564 579 
 535 549 5 6 4 
 5 20 535 55' 
 
 623 636 648 
 607 621 634 
 592 607 620 
 578 593 608 
 565 581 596 
 
 98 
 96 
 94 
 92 
 9O 
 
 12 
 14 
 16 
 18 
 20 
 
 270 286 302 
 250 266 282 
 230 247 264 
 
 212 229 246 
 196 213 231 
 
 317 333 349 
 298 315 331 
 280 297 313 
 263 281 298 
 248 266 283 
 
 365 380 396 
 347 363 380 
 33i 347 364 
 315 332 35 
 301 319 337 
 
 412 428 443 
 396 412 428 
 381 398 414 
 367 384 401 
 354 372 389 
 
 459 475 49 ' 
 445 4 6 ' 478 
 431 448 465 
 
 4'9 435 453 
 
 407 424 442 
 
 506 522 538 
 
 493 59 526 
 481 498 515 
 
 47 487 54 
 460 477 495 
 
 553 569 585 
 
 54 2 559 574 
 531 548 565 
 521 539 556 
 512 53 547 
 
 1 88 
 1 86 
 1 84 
 1 82 
 
 1 80 
 
 22 
 24 
 26 
 28 
 
 30 
 
 181 198 217 
 166 184 203 
 154 172 191 
 142 i 60 180 
 131 150 169 
 
 234 253 270 
 
 221 240 258 
 209 229 247 
 
 198 218 236 
 188 208 227 
 
 289 306 325 
 276 294 313 
 266 284 303 
 256 274 293 
 246 265 285 
 
 342 361 378 
 331 350 368 
 
 3" 34' 359 
 312 331 350 
 304 323 342 
 
 397 4H 433 
 387 405 423 
 378 396 415 
 369 388 407 
 362 381 400 
 
 450 468 486 
 44i 459 478 
 434 452 47i 
 426 444 464 
 419 438 458 
 
 504 522 540 
 
 49 6 5'5 533 
 489 508 526 
 482 502 520 
 477 49 6 5'5 
 
 1 78 
 1 76 
 1 74 
 1 72 
 1 70 
 
 32 
 34 
 36 
 38 
 40 
 
 121 140 1 60 
 
 "4 '33 'S3 
 106 125 145 
 
 99 "9 !39 
 93 U3 134 
 
 179 199 218 
 
 172 192 212 
 165 185 205 
 159 179 I 99 
 153 174 194 
 
 238 257 277 
 232 251 271 
 225 244 265 
 219 239 259 
 214 234 255 
 
 296 316 335 
 290 311 330 
 284 304 324 
 279 300 319 
 275 295 315 
 
 355 374 394 
 35 369 389 
 344 364 384 
 
 34 359 38o 
 336 355 376 
 
 413 43z 452 
 408 428 448 
 403 423 444 
 399 419 439 
 396 415 436 
 
 471 491 510 
 467 487 506 
 463 483 502 
 
 459 479 499 
 456 476 496 
 
 68 
 66 
 64 
 62 
 
 60 
 
 42 
 44 
 46 
 48 
 
 50 
 
 89 109 130 
 85 105 126 
 83 103 124 
 
 8l IOI 122 
 8l IOI 122 
 
 I5O I7O igO 
 146 167 187 
 144 164 184 
 142 163 183 
 142 163 183 
 
 211 231 252 
 207 227 248 
 20J 225 246 
 204 224 245 
 2O4 224 245 
 
 272 292 312 
 268 289 309 
 266 287 307 
 265 286 306 
 265 286 306 
 
 333 353 373 
 33 35 37' 
 328 348 369 
 327 347 368 
 327 347 368 
 
 393 4'3 434 
 391 410 431 
 
 389 409 430 
 388 408 429 
 388 408 429 
 
 454 474 494 
 451 472 492 
 
 45 47i 49 1 
 449 470 490 
 449 470 490 
 
 58 
 56 
 54 
 52 
 
 50 
 
 Applied Constant: +900. The unit equals od-oooooi. This Table is complementary to.Table XLII. 
 
 It supplies a correction to the Semiduration which is applicable when the Latitude as derived from Tables XXX-XXXVIII lies between 0-95 and 2-05. 
 
XLVI continued 
 
 SATELLITE IV 
 
 Tables of the Phenomena 
 
 Equation of Semiduration 
 
 \Var 
 Lat\ 
 
 -O -'0 - O 
 08O O76 O72 
 
 -O -0 - O 
 068 O64 060 
 
 - O - -O 
 O56 O52 O48 
 
 - O -'O - 
 O44 O4O O36 
 
 -0 -O -0 
 032 O28 O24 
 
 - -o - -o - -o 
 
 020 O1 6 O1 2 
 
 - 'O - -O -O 
 008 004 OOO 
 
 Var./ 
 /Lat. 
 
 090 
 
 757 764 77i 
 
 778 785 793 
 
 800 807 814 
 
 821 828 836 
 
 843 850 857 
 
 864 871 879 
 
 886 893 900 
 
 210 
 
 092 
 094 
 096 
 098 
 1-00 
 
 736 744 752 
 716 725 734 
 698 708 718 
 680 691 702 
 663 676 687 
 
 761 769 777 
 744 753 762 
 728 738 748 
 713 724 735 
 699 711 723 
 
 785 793 802 
 771 780 790 
 758 768 779 
 746 757 768 
 
 735 747 75 8 
 
 810 818 826 
 799 808 817 
 789 799 809 
 779 790 801 
 770 782 794 
 
 834 843 851 
 826 836 845 
 819 829 839 
 812 823 834 
 805 817 829 
 
 859 867 875 
 854 863 872 
 849 860 870 
 845 856 867 
 841 853 865 
 
 884 892 900 
 882 891 900 
 880 890 900 
 878 889 900 
 876 888 900 
 
 2 OS 
 2 O6 
 204 
 2 O2 
 200 
 
 1 02 
 1 04 
 1 06 
 1 08 
 1 10 
 
 648 661 673 
 634 648 661 
 620 635 648 
 608 623 637 
 596 611 626 
 
 686 699 712 
 674 687 701 
 663 676 691 
 652 666 681 
 642 657 672 
 
 724 737 749 
 714 727 740 
 704 719 732 
 695 710 725 
 687 703 717 
 
 762 774 787 
 754 767 781 
 747 760 775 
 740 754 769 
 733 74 8 763 
 
 799 812 824 
 794 807 820 
 788 802 816 
 783 798 812 
 778 794 809 
 
 837 850 863 
 834 847 860 
 830 844 858 
 827 842 857 
 824 839 855 
 
 875 888 900 
 873 887 900 
 872 886 900 
 871 886 900 
 870 885 900 
 
 1 98 
 1 96 
 1-94 
 1 92 
 
 1 90 
 
 1-12 
 1-14 
 1 16 
 118 
 1-2O 
 
 585 601 616 
 
 574 59 1 6 7 
 565 582 598 
 556 573 590 
 547 565 583 
 
 632 648 664 
 624 640 656 
 615 632 649 
 608 624 642 
 601 618 636 
 
 679 695 711 
 672 689 705 
 665 682 699 
 659 677 693 
 653 671 688 
 
 727 742 759 
 721 737 754 
 716 732 749 
 711 728 745 
 706 724 742 
 
 774 790 805 
 770 786 802 
 766 783 799 
 762 780 797 
 759 777 794 
 
 822 837 853 
 819 835 852 
 817 833 850 
 814 831 849 
 812 829 848 
 
 868 885 900 
 867 884 900 
 866 884 900 
 866 883 900 
 865 883 900 
 
 88 
 86 
 84 
 82 
 80 
 
 22 
 24 
 
 26 
 28 
 30 
 
 54 558 576 
 533 55' 569 
 526 546 564 
 520 540 558 
 5i5 535 554 
 
 594 612 630 
 588 606 625 
 583 601 620 
 578 596 616 
 573 59* 6 ' 2 
 
 648 666 684 
 643 662 680 
 639 658 676 
 634 654 672 
 631 650 669 
 
 702 720 738 
 698 716 735 
 
 695 713 732 
 692 710 730 
 689 708 727 
 
 756 774 792 
 753 772 79 
 751 770 788 
 748 768 786 
 746 766 785 
 
 810 828 846 
 809 827 845 
 807 825 844 
 806 824 844 
 804 823 843 
 
 864 882 900 
 863 882 900 
 863 882 900 
 862 881 900 
 862 881 900 
 
 1 78 
 1 76 
 1-74 
 1 72 
 1 7O 
 
 32 
 
 34 
 36 
 
 38 
 40 
 
 510 530 549 
 506 527 546 
 502 523 542 
 
 499 5 2 o 539 
 49 6 5'7 537 
 
 569 588 608 
 566 585 605 
 562 582 602 
 560 579 600 
 
 557 577 59 8 
 
 627 647 666 
 624 645 664 
 622 642 661 
 619 640 659 
 
 617 638 658 
 
 686 705 725 
 684 703 723 
 682 701 722 
 680 700 720 
 678 698 719 
 
 744 764 783 
 743 763 782 
 741 761 781 
 740 760 780 
 738 759 779 
 
 803 822 842 
 802 821 841 
 801 820 841 
 800 820 840 
 800 819 840 
 
 861 881 900 
 861 881 900 
 860 88 i 900 
 860 880 900 
 860 880 900 
 
 68 
 66 
 64 
 62 
 60 
 
 42 
 44 
 46 
 48 
 5O 
 
 494 5i5 535 
 49 2 5 J 3 533 
 491 512 532 
 490 511 531 
 49 5'i 53' 
 
 555 575 59 6 
 554 574 595 
 553 573 594 
 55* 572 593 
 552 572 593 
 
 616 637 656 
 614 635 655 
 614 635 654 
 613 634 654 
 613 634 654 
 
 677 697 718 
 676 696 717 
 675 695 716 
 675 695 716 
 675 695 716 
 
 738 758 778 
 737 758 778 
 736 757 777 
 736 757 777 
 736 757 777 
 
 799 819 840 
 799 818 839 
 798 818 839 
 798 818 839 
 798 818 839 
 
 859 880 900 
 859 880 900 
 859 880 900 
 859 880 900 
 859 880 900 
 
 58 
 56 
 54 
 52 
 50 
 
 Applied Constant: +900. The unit equals o d 'oooooi. Tills Table is complementary to Table XLII, 
 
 It supplies a correction to the Semiduration which is applicable when the Latitude as derived from Tables XXX -XXXVIII lies between 0*95 and 2-05. 
 
XL VI continued 
 
 SATELLITE IV 
 
 Tables of the Phenomena 
 
 Equation of Semiduration 
 
 \Var 
 Lat\ 
 
 O +0 +O 
 boo OO4 OO8 
 
 + 'O +'O +-O 
 O1 2 O1 6 02O 
 
 + -O +'O +'O 
 O24 O28 032 
 
 + +-o + -o 
 
 036 O4O O44 
 
 + 'O + 'O + -O 
 O48 O52 O56 
 
 + 'O +'O +'O 
 060 064 068 
 
 + -o + -o + -o 
 
 072 076 080 
 
 Var./ 
 /Lat. 
 
 090 
 
 900 907 914 
 
 921 929 936 
 
 943 95 957 
 
 964 972 979 
 
 986 993 1000 
 
 IOO7 IOI5 1022 
 
 1029 1036 1043 
 
 210 
 
 092 
 094 
 0-96 
 098 
 1 00 
 
 900 908 916 
 900 909 918 
 900 910 920 
 900 911 922 
 900 912 924 
 
 9*5 933 94' 
 928 937 946 
 930 940 951 
 
 933 944 955 
 935 947 959 
 
 949 957 966 
 
 955 9 6 4 974 
 961 971 981 
 966 977 988 
 971 983 995 
 
 974 982 990 
 983 992 1001 
 991 looi ion 
 999 ioio 1021 
 1006 1018 1030 
 
 998 1007 1015 
 ioio 1020 1029 
 
 IO2I 1032 1042 
 1032 1043 1054 
 1042 1053 IO66 
 
 IO23 IO3I IO39 
 1038 1047 1056 
 1052 IO62 1072 
 1065 1076 1087 
 
 1077 1089 iioi 
 
 1048 1056 1064 
 1066 1075 1084 
 
 IO82 1092 1102 
 1098 1109 I 1 2O 
 III3 1124 1137 
 
 2-08 
 
 206 
 2 04 
 2 02 
 2 00 
 
 O2 
 04 
 O6 
 08 
 10 
 
 900 912 92; 
 
 900 913 927 
 
 900 914 928 
 900 914 929 
 900 915 930 
 
 937 950 963 
 940 953 966 
 94* 95<5 97 
 943 958 973 
 945 961 976 
 
 976 988 looi 
 980 993 1006 
 984 998 1012 
 
 988 1002 1017 
 
 991 IOO6 1022 
 
 1013 1026 1038 
 1019 1033 1046 
 1025 1040 1053 
 1031 1046 1060 
 1037 1052 1067 
 
 IO5I 1063 1076 
 IO60 1073 IO86 
 
 1068 1081 1096 
 1075 1090 1105 
 1083 1097 1113 
 
 1088 iioi 1114 
 1099 1113 1126 
 1109 1124 1137 
 1119 1134 1148 
 1128 1143 1158 
 
 1127 1139 II$2 
 
 1139 n 5 2 "66 
 1152 1165 1180 
 1163 1177 1192 
 1174 1189 1204 
 
 98 
 96 
 94 
 92 
 
 90 
 
 12 
 14 
 16 
 18 
 20 
 
 900 915 932 
 
 900 916 933 
 900 916 934 
 900 917 934 
 900 917 935 
 
 947 963 978 
 948 965 981 
 950 967 983 
 951 969 986 
 952 971 988 
 
 995 1010 1026 
 998 1014 1030 
 looi 1017 1034 
 
 IO03 IO2O 1038 
 
 1006 1023 1041 
 
 1041 1058 1073 
 1046 1063 1079 
 1051 1068 1084 
 1055 1072 1089 
 1058 1076 1094 
 
 1089 1105 II2I 
 
 1095 mi 1128 
 iioi 1118 1135 
 1107 1123 1141 
 
 I I 12 1129 1147 
 
 1136 1152 1168 
 1144 1160 1176 
 1151 i 168 1185 
 1158 1176 1192 
 1164 1182 1199 
 
 1184 1199 1215 
 1193 1209 1226 
 
 I2O2 I2l8 1235 
 1210 1227 1244 
 
 1217 1235 1253 
 
 88 
 86 
 84 
 82 
 8O 
 
 22 
 24 
 26 
 28 
 3O 
 
 900 918 936 
 
 900 918 937 
 900 918 937 
 900 919 938 
 900 919 938 
 
 954 974 990 
 
 955 973 99 1 
 956 975 993 
 956 976 994 
 
 957 977 99 6 
 
 1008 1026 1044 
 ioio 1028 1047 
 
 IOI2 IO3O 1049 
 
 1014 1032 1052 
 1015 1034 1054 
 
 1062 1080 1098 
 
 1065 1084 I 102 
 
 1068 1087 1105 
 1070 1090 1108 
 1073 1092 mi 
 
 I I l6 1134 1152 
 I12O 1138 1157 
 
 1124 1142 1161 
 1128 1146 i i 66 
 1131 i 150 1169 
 
 1170 1188 1206 
 1175 i i 94 i 2 i 2 
 i i 80 1199 1217 
 
 1184 I2O4 1222 
 
 1188 1208 1227 
 
 1224 1242 1260 
 1231 1249 I2 ^7 
 
 1236 1254 1274 
 
 1242 1260 1280 
 1246 1265 1285 
 
 1 78 
 1 76 
 1 74 
 1-72 
 1-7O 
 
 32 
 34 
 36 
 38 
 4O 
 
 900 919 939 
 900 919 939 
 900 919 940 
 900 920 940 
 900 920 940 
 
 958 978 997 
 
 959 979 99 8 
 959 980 999 
 
 960 980 1000 
 960 981 1000 
 
 1017 1036 1056 
 1018 1037 1057 
 1019 1039 1059 
 
 IO2O 1040 IO6O 
 1021 1041 1062 
 
 1075 1095 1114 
 1077 1097 1116 
 1078 1099 1118 
 1080 noo 1120 
 
 108I 1102 1122 
 
 1134 "53 U73 
 1136 1155 i 176 
 i 139 i 158 1178 
 
 1141 1160 nil 
 1142 1162 1183 
 
 1192 1212 1231 
 II 95 1215 1234 
 
 1198 1218 1238 
 
 I2OO 1221 I24O 
 I2O2 1223 1243 
 
 1251 1270 1290 
 
 1254 1273 1294 
 
 1258 1277 1298 
 1261 1280 1301 
 1263 1283 1304 
 
 68 
 66 
 64 
 62 
 
 60 
 
 42 
 44 
 46 
 48 
 
 50 
 
 900 920 941 
 900 920 941 
 900 920 941 
 900 920 941 
 900 920 941 
 
 960 981 1001 
 961 982 1001 
 
 961 982 IOO2 
 961 982 IOO2 
 961 982 IOO2 
 
 IO22 1042 IO62 
 IO22 IO42 1063 
 IO23 1043 1064 
 IO23 1043 1064 
 IO23 1043 1064 
 
 IO82 IIO3 1123 
 1083 IIO4 1124 
 1084 IIO5 1125 
 1084 IIO5 1125 
 1084 1105 1125 
 
 1144 1163 1184 
 
 1145 1165 1186 
 1146 1165 1186 
 1146 1166 1187 
 1146 1166 1187 
 
 I2O4 1225 1245 
 1205 1226 1246 
 1206 1227 1247 
 1207 1228 1248 
 I2O7 1228 1248 
 
 1265 1285 1306 
 1267 1287 1308 
 1268 1288 1309 
 1269 1289 1310 
 1269 1289 1310 
 
 58 
 56 
 54 
 52 
 
 50 
 
 Applied Constant : +900. The unit equals o d 'oooooi. This Table is complementary to Table XLII. 
 
 It supplies a correction to the Semiduration which is applicable when the Latitude as derived from Tables XXX-XXXVIII lies between 0-95 and 2-05. 
 
XL VI continued 
 
 SATELLITE IV 
 
 Tables of the Phenomena 
 
 Equation of Semiduration 
 
 \Var. 
 
 Lat.\ 
 
 + -o + -o + -o 
 
 O8O O84 088 
 
 + -o -t- -o + -o 
 
 O92 O96 1OO 
 
 + +-o +-o 
 
 1O4 1O8 112 
 
 + -O +'O + 'O 
 
 116 12O 124 
 
 + 'O +-O +'O 
 128 132 136 
 
 + -o + -o + o 
 
 14O 144 148 
 
 + -o + -o + -o 
 
 152 156 16O 
 
 / 
 Var. / 
 
 /Lai;. 
 
 090 
 
 1043 1050 1058 
 
 1065 1072 1079 
 
 1086 1093 i 100 
 
 IIO8 III5 1122 
 
 1129 1136 1143 
 
 1151 1158 1165 
 
 1172 1179 1186 
 
 2-1O 
 
 092 
 0-94 
 
 096 
 098 
 1 00 
 
 1064. 1072 1080 
 1084 1093 1102 
 
 IIO2 III3 1123 
 II2O II3I 1142 
 
 1137 1148 tioo 
 
 1089 1097 1105 
 
 I I 12 I 121 II3O 
 1133 1143 IIS3 
 1153 1164 1175 
 1172 1184 1195 
 
 III3 I 121 II3O 
 1139 1148 1158 
 Il63 1173 Il83 
 
 1186 1197 1208 
 1207 1219 1231 
 
 1138 1146 1154 
 Il67 1176 Il85 
 1193 1204 1214 
 1219 I23O 1241 
 1243 1254 1266 
 
 1162 1171 1179 
 1194 1204 1213 
 1224 1234 1244 
 1252 1263 1274 
 1278 1290 1302 
 
 1187 1195 1203 
 
 1222 1231 1240 
 1254 1264 1274 
 1285 1296 1307 
 
 '3'4 1325 '337 
 
 1212 1220 1228 
 1250 1259 1267 
 I25 1295 1305 
 1318 1329 1340 
 1349 I36l 1373 
 
 208 
 
 2 06 
 2 04 
 202 
 200 
 
 02 
 04 
 
 06 
 08 
 1O 
 
 1152 1164 1177 
 
 1166 1179 1193 
 
 llSo 1193 1208 
 1192 1207 1222 
 I2O4 1219 1235 
 
 1189 I2O2 1214 
 I2O6 1219 1232 
 1221 1236 1249 
 1236 1251 1265 
 1249 1265 I28O 
 
 1227 1240 1252 
 1245 1259 I2 7 2 
 1263 1277 1291 
 1279 1294 1309 
 1295 1310 1325 
 
 1265 1277 1290 
 1286 1298 1312 
 1305 1319 1333 
 1324 1338 1353 
 1341 1356 1371 
 
 1302 1315 1327 
 
 1325 1339 1352 
 1347 1361 1375 
 1367 1382 1396 
 1386 1402 1416 
 
 1340 1353 1365 
 1365 1378 1392 
 1389 1403 1417 
 1411 1425 1440 
 1432 1447 1462 
 
 1378 1391 1403 
 1405 1419 1432 
 1431 1445 1459 
 1455 1470 1484 
 
 '477 '493 '5 8 
 
 1 98 
 1 96 
 1 94 
 1-92 
 
 T 90 
 
 12 
 14 
 16 
 
 18 
 20 
 
 1215 1231 1247 
 1226 1241 1258 
 123; 1252 1269 
 1244 I26j 1279 
 1253 I27O 1288 
 
 1262 1278 1294 
 1274 1291 1307 
 128; I3O2 1319 
 1296 1313 1330 
 1305 1323 1340 
 
 1309 1325 1341 
 1322 1339 1355 
 
 '335 1352 1369 
 1347 1365 1381 
 1358 1376 1393 
 
 1357 1372 '388 
 1372 1388 1404 
 1386 I4O2 1419 
 1399 I4l6 1433 
 I4II 1428 1446 
 
 1404 1420 1435 
 1420 1437 1453 
 1436 1453 1469 
 1450 1468 1485 
 1463 1481 1499 
 
 1451 1467 1483 
 1469 1485 1502 
 1487 1503 1520 
 1502 1519 1537 
 
 '5'7 '534 '55 2 
 
 1498 1514 1530 
 1518 1534 1550 
 1536 '553 '57 
 '554 '57' 1588 
 1569 1587 1604 
 
 88 
 86 
 84 
 82 
 
 80 
 
 22 
 24 
 26 
 28 
 
 30 
 
 I26O 1278 1296 
 1267 1285 1304 
 1274 1292 1311 
 1280 1298 1318 
 1285 1304 1323 
 
 ^3'4 '332 135 
 1322 1341 1359 
 1329 1348 1366 
 1336 1356 1374 
 1342 1362 1381 
 
 1367 1386 1403 
 
 1377 1395 '4'3 
 1385 1404 1422 
 
 1393 1412 1431 
 1400 1419 1438 
 
 1422 1439 1458 
 1432 1450 1469 
 1441 1459 1478 
 I45O 1469 1488 
 1458 1477 I 49 6 
 
 1475 1494 1512 
 1487 1506 1524 
 1497 1516 1534 
 1507 1526 1544 
 
 i55 1535 IS54 
 
 1530 1547 1566 
 1542 1560 1579 
 
 '553 '57' '59' 
 1564 1582 1602 
 1573 1592 1612 
 
 1583 1602 1619 
 1597 1616 1634 
 1609 1628 1646 
 1620 1640 1658 
 1631 1650 1669 
 
 1 78 
 1 76 
 1 74 
 1 72 
 1 70 
 
 32 
 34 
 36 
 38 
 4O 
 
 1290 1309 1329 
 1294 1313 1333 
 1298 1317 1337 
 1301 1321 1341 
 1304 1324 1344 
 
 1348 1368 1387 
 1352 1372 1392 
 1356 1377 1397 
 1361 1381 1401 
 1364 1385 1404 
 
 1406 1426 1445 
 1411 1431 1450 
 1416 1436 1456 
 1420 1441 1460 
 1424 1445 1464 
 
 1465 1484 1504 
 I47O 1489 IJIO 
 1476 1496 1516 
 1481 I5CO 1521 
 1485 1505 1525 
 
 1523 1543 1562 
 1529 1549 1568 
 
 1535 '55 6 '575 
 1541 1561 1581 
 1545 1566 1586 
 
 1582 1601 1621 
 1588 1608 1628 
 1595 1615 1635 
 1601 1621 1641 
 1606 1626 1647 
 
 1640 1660 1679 
 1647 1667 1686 
 1655 1675 1694 
 1661 1681 1701 
 1666 1687 1707 
 
 68 
 66 
 64 
 62 
 60 
 
 42 
 44 
 46 
 48 
 50 
 
 1306 1326 1346 
 1308 1328 1349 
 1309 1329 1350 
 1310 1330 1351 
 1310 1330 1351 
 
 1366 1387 1407 
 1369 1390 1409 
 1370 1391 1411 
 1371 1392 1412 
 1371 1392 1412 
 
 1427 1447 1467 
 1429 1450 1470 
 1431 1452 1472 
 1432 1453 1473 
 1432 1453 1473 
 
 1488 1508 1528 
 1491 I5II 1532 
 1493 1513 1534 
 1494 1514 1535 
 1494 1514 1535 
 
 1548 1569 1589 
 >55 2 1573 IS93 
 '554 '575 1595 
 1555 1576 i59 6 
 '555 1576 i59 6 
 
 1610 1630 1650 
 1613 1633 1654 
 1616 1636 1656 
 1617 1637 1658 
 1617 1637 1658 
 
 1670 1691 1711 
 1674 1695 1715 
 1676 1697 1717 
 1678 1699 1719 
 1678 1699 1719 
 
 58 
 56 
 54 
 
 52 
 50 
 
 Applied Constant +900. The unit equals o'-oooooi. This Table is complementary to Table XLII. 
 
 It supplies a correction to the Semiduration which ia applicable when the Latitude as derived from Tables XXX-XXXVUI lies between 0-95 and 2-05. 
 
 278 
 
XLVII 
 
 SATELLITE IV 
 
 Tables of the Phenomena 
 
 Equation of Semiduration 
 
 Eel., Oc. 
 
 \ M 
 
 
 
 
 
 
 
 
 V 
 
 O d i d 2 d 
 
 3 d 4 d 5 d 
 
 gd yd 8 d 
 
 gd 1Q d 1V I 
 
 12 d 13 d 14 d 
 
 1 8 d 1 6 d 1 7 d 
 
 18 d 19 d 20 d 
 
 J\ 
 
 
 
 
 
 
 
 
 d 
 
 
 
 
 
 
 
 
 00 
 
 90 90 90 
 
 90 90 90 
 
 90 90 90 
 
 90 90 90 
 
 90 90 90 
 
 90 90 90 
 
 90 90 90 
 
 02 
 
 91 92 93 
 
 93 94 93 
 
 93 92 91 
 
 90 89 89 
 
 88 88 89 
 
 90 90 91 
 
 9 2 93 94 
 
 O-4 
 
 94 9 6 9 8 
 
 99 99 9 8 
 
 97 95 93 
 
 92 90 89 
 
 88 89 90 
 
 91 93 95 
 
 96 98 9< 
 
 06 
 
 100 103 105 
 
 106 107 105 
 
 103 100 97 
 
 94 9 2 9 
 
 90 90 92 
 
 95 97 10 
 
 103 105 107 
 
 08 
 
 107 in 115 
 
 116 117 115 
 
 in 107 102 
 
 9 8 95 93 
 
 93 94 97 
 
 100 104 108 
 
 112 115 117 
 
 1-0 
 
 117 122 127 
 
 129 129 126 
 
 121 115 109 
 
 103 99 97 
 
 97 99 102 
 
 107 113 119 
 
 124 128 130 
 
 1-2 
 
 1.M 
 
 128 136 142 
 
 * * * 
 
 134 125 117 
 
 110 105 103 
 
 103 105 no 
 
 116 123 131 
 
 138 144 * 
 
 ** 
 
 1-0 
 
 
 
 
 117 ill i 09 
 
 j, 1 T A 1 I F 
 
 1 09 112 I I o 
 
 II A j ? n i ? S 
 
 1 26 135 1 46 
 
 * # * 
 
 o 
 
 
 
 
 ^ 1 1 U 1 1 k 
 
 1 U 1AU 1 O 
 
 
 
 6C 
 
 
 
 
 
 
 
 
 D 
 
 6*8 
 
 
 
 
 * 1 1 f I 9 C 
 
 120 122 + 
 
 I I 8 1 t A I I "I 
 
 * * * 
 
 * * * 
 
 7'O 
 
 120 I ?O * 
 
 
 
 * '35 * 2 5 
 
 T 2 9 1 9 A Il^i 
 
 1JO 1 J 1 * ' "7 
 IT O T nR I ("1*7 
 
 II n T T P T ? 2 
 
 
 w 
 72 
 
 112 119 126 
 
 135 140 142 
 
 139 '33 127 
 
 \ } . J Z ^- I I \> 
 
 120 113 108 
 
 I U I UO 1 U / 
 
 103 ioi ioi 
 
 i u ' ^ S j 
 
 103 108 114 
 
 $ ifc $ 
 122 129 136 
 
 74 
 
 105 in 1 16 
 
 121 125 126 
 
 124 121 I l6 
 
 110 105 ioi 
 
 98 96 96 
 
 98 102 107 
 
 113 118 123 
 
 76 
 
 100 104 i 08 
 
 III 113 114 
 
 113 110 107 
 
 103 99 95 
 
 93 9 2 93 
 
 94 97 ioi 
 
 105 109 112 
 
 78 
 
 95 98 100 
 
 IO3 104 104 
 
 103 i oi 99 
 
 96 93 91 
 
 90 89 90 
 
 91 93 96 
 
 99 ioi 103 
 
 80 
 
 92 94 95 
 
 96 97 97 
 
 96 95 93 
 
 92 90 89 
 
 88 88 89 
 
 90 91 93 
 
 94 9 6 97 
 
 
 
 
 
 
 
 
 
 82 
 
 90 91 92 
 
 92 92 92 
 
 92 92 91 
 
 90 90 89 
 
 89 89 89 
 
 89 90 91 
 
 91 92 92 
 
 8-4 
 
 90 90 90 
 
 89 89 89 
 
 90 90 90 
 
 90 91 91 
 
 91 91 91 
 
 91 90 90 
 
 90 90 89 
 
 86 
 
 91 90 89 
 
 88 88 88 
 
 89 90 91 
 
 93 94 94 
 
 95 95 94 
 
 93 92 91 
 
 90 89 88 
 
 8-8 
 
 94 91 90 
 
 89 89 89 
 
 9' 93 95 
 
 97 99 100 
 
 ioi 100 99 
 
 97 95 93 
 
 91 89 89 
 
 90 
 
 97 94 92 
 
 91 91 92 
 
 94 97 100 
 
 103 106 108 
 
 109 108 106 
 
 103 99 96 
 
 93 9 1 9 1 
 
 9-2 
 
 IO2 98 96 
 
 94 94 9 6 
 
 99 103 108 
 
 113 117 119 
 
 120 i 18 115 
 
 III 1 06 IOI 
 
 97 95 94 
 
 9'4 
 
 108 103 100 
 
 98 99 101 
 
 106 in 117 
 
 i*4 ' 2 9 *33 
 
 134 131 126 
 
 I2O 113 IO7 
 
 i 02 99 98 
 
 9-6 
 9 '8 
 
 116 109 105 
 
 I2C 117 112 
 
 104 105 108 
 
 IIO 112 Il6 
 
 113 121 128 
 
 194 T49 1 A t 
 
 137 144 * 
 
 * * * 
 
 131 121 113 
 
 108 104 104 
 
 1 O 
 
 * * 1 2O 
 
 117 1 2O I 2 C 
 
 123 132 143 
 
 13C * A 
 
 * * ^c 
 
 
 
 115 ill 110 
 
 
 
 
 1 3) 
 
 
 
 
 
 1 5 O 
 
 * * * 
 
 I 2 Q 122 Il8 
 
 
 
 
 
 
 15'2 
 
 * 138 128 
 
 I2O 114. 112 
 
 112 Il6 124. 
 
 
 
 
 T 1 i T 9 P I T fi 
 
 15'4 
 
 134 126 1 18 
 
 III 1 07 IOC 
 
 I 06 I OQ IIC 
 
 
 
 
 1 34 * * 5 1 1 o 
 
 199 T T ft fin 
 
 156 
 
 122 115 109 
 
 104 101 99 
 
 100 103 i 08 
 
 114 122 129 
 
 134 ! 37 136 
 
 132 126 I2O 
 
 * L J 11U IIO 
 113 lOJ 103 
 
 158 
 
 III IO6 IO2 
 
 98 95 95 
 
 95 97 02 
 
 I O7 112 117 
 
 120 122 121 
 
 119 114 IO9 
 
 105 100 97 
 
 160 
 
 103 99 96 
 
 93 91 91 
 
 92 94 97 
 
 100 104 107 
 
 IIO III IIO 
 
 108 105 ioi 
 
 98 95 92 
 
 162 
 
 96 94 92 
 
 90 89 89 
 
 89 91 93 
 
 96 98 100 
 
 IO2 102 102 
 
 100 98 96 
 
 93 91 89 
 
 16-4 
 
 92 91 91 
 
 89 88 88 
 
 89 90 91 
 
 92 94 95 
 
 95 9 6 95 
 
 94 93 9 2 
 
 90 89 88 
 
 166 
 
 90 90 89 
 
 89 89 89 
 
 89 90 90 
 
 90 91 91 
 
 91 91 91 
 
 91 91 90 
 
 90 89 89 
 
 168 
 
 90 91 91 
 
 92 92 92 
 
 91 91 91 
 
 90 89 89 
 
 89 89 89 
 
 89 90 91 
 
 91 91 92 
 
 17 O 
 
 93 94 95 
 
 96 96 96 
 
 95 94 9 2 
 
 91 89 88 
 
 88 88 89 
 
 90 92 93 
 
 94 9 6 9 6 
 
 172 
 
 97 99 101 
 
 103 103 IO2 
 
 100 98 95 
 
 92 91 89 
 
 89 89 91 
 
 93 95 9 8 
 
 IOO IO2 103 
 
 17-4 
 
 103 107 110 
 
 III III IIO 
 
 107 104 100 
 
 96 93 92 
 
 91 92 94 
 
 97 ioi 104 
 
 108 110 112 
 
 17'6 
 
 112 117 121 
 
 123 123 121 
 
 IIO III 1 06 
 
 ioi 97 95 
 
 95 9 6 99 
 
 104 109 113 
 
 Il8 122 123 
 
 17-8 
 
 123 130 134 
 
 138 138 134 
 
 128 121 113 
 
 107 103 100 
 
 100 102 106 
 
 112 118 125 
 
 131 136 138 
 
 180 
 
 136 145 * 
 
 * * * 
 
 * 131 122 
 
 114 109 106 
 
 I 06 109 114 
 
 121 130 139 
 
 148 * * 
 
 Applied Constant : + 90. The unit equals o a 'oooooi. 
 
 This Table is complementary to Table XLIII. It supplies a correction to the Semiduration which is applicable when the Latitude as derived 
 
 from Tables XXX-XXXVII lies between 0-95 and 2-05. 
 
 279 
 
XLVIII 
 
 SATELLITE IV 
 
 Tables of the Phenomena 
 
 Equation of Semiduration 
 
 Sh., Tr. 
 
 \ M 
 
 J\ 
 
 Q d Id 2 d 
 
 3 d 4 d 5 d 
 
 6 d 7 d 8 d 
 
 gd 1 O d j j d 
 
 12 d 13 d 14 d 
 
 15 d 16 d 17 d 
 
 13 19 d 2Q d 
 
 d 
 
 00 
 
 02 
 
 04 
 0-6 
 
 08 
 10 
 
 12 
 
 1 '4 
 
 789 
 
 9 " H 
 
 14 l8 22 
 
 24 29 34 
 
 37 43 50 
 54 61 69 
 
 73 84 93 
 
 iz 14 17 
 
 l6 2O 22 
 26 28 30 
 38 41 41 
 
 54 57 57 
 74 77 76 
 
 * * * 
 
 19 20 21 
 
 23 24 23 
 30 29 27 
 4' 38 35 
 55 5i 45 
 71 65 58 
 
 92 82 72 
 
 21 20 l8 
 
 21 19 17 
 25 22 19 
 31 27 23 
 
 39 34 3 
 50 44 39 
 
 63 56 51 
 
 16 13 ii 
 14 ii 10 
 
 15 14 12 
 
 20 18 17 
 27 26 27 
 37 36 38 
 
 49 49 53 
 
 f,-> ftt 68 
 
 9 7 7 
 
 9 8 9 
 12 13 16 
 
 19 21 25 
 
 2 9 33 39 
 42 49 5 6 
 
 58 66 76 
 
 8 10 12 
 
 ii 15 19 
 
 18 23 27 
 3 35 4 
 45 Si S 6 
 62 71 76 
 
 86 96 * 
 
 1-6 
 
 
 
 
 77 69 63 
 
 76 T fi 8 
 
 
 
 
 
 
 
 
 7 7 8 5 
 
 
 
 66 
 
 
 
 
 
 nt RT 
 
 
 
 68 
 
 
 
 
 
 92 07 
 
 
 
 7'O 
 
 
 
 
 So T> f\\ 
 
 74 7 Z 73 
 
 
 
 7-2 
 7-4 
 76 
 78 
 
 80 
 
 82 
 
 84 
 86 
 8-8 
 90 
 
 9-2 
 
 94 
 96 
 9*8 
 
 65 74 79 
 52 59 64 
 41 46 50 
 
 3' 35 37 
 
 25 27 28 
 
 21 22 22 
 21 2O 19 
 23 21 19 
 29 25 22 
 
 36 3I 27 
 
 46 40 36 
 5 8 5I 46 
 
 73 64 57 
 
 90 95 94 
 69 72 70 
 S 2 53 5i 
 38 38 35 
 27 26 24 
 
 21 18 16 
 16 14 ii 
 16 13 ii 
 
 18 16 13 
 
 24 21 2O 
 
 31 29 28 
 41 40 39 
 
 S3 5* 53 
 66 66 68 
 
 88 79 69 
 65 59 52 
 
 47 42 37 
 31 27 23 
 20 17 13 
 
 13 ii 9 
 
 10 8 7 
 
 999 
 13 14 16 
 
 2O 22 26 
 
 3 33 39 
 43 48 55 
 
 57 66 74 
 
 61 55 48 
 
 44 38 35 
 31 27 24 
 19 16 15 
 
 II 10 II 
 
 7 8 9 
 7 10 12 
 
 12 15 17 
 19 23 27 
 
 3 35 4 
 
 4 fi S3 58 
 65 73 8 
 86 96 * 
 
 45 45 48 
 34 34 37 
 23 25 29 
 
 l6 IS 22 
 
 12 15 18 
 
 12 15 17 
 15 17 19 
 21 23 24 
 
 3i 3 2 33 
 
 44 45 45 
 
 62 62 60 
 
 84 82 78 
 
 * * * 
 
 00 73 74 
 
 52 60 68 
 4' 47 54 
 32 37 42 
 25 29 33 
 
 21 24 26 
 
 19 21 22 
 21 21 21 
 25 24 23 
 32 30 28 
 
 43 38 35 
 
 S 6 5 44 
 72 64 56 
 90 79 69 
 
 76 85 91 
 6 1 66 71 
 
 47 5' 53 
 36 37 38 
 
 27 28 28 
 
 22 22 2O 
 
 20 19 16 
 21 18 15 
 24 20 18 
 30 26 23 
 
 39 34 3 
 49 44 4 
 62 55 S3 
 
 lO'O 
 
 9 79 7 1 
 * 86 
 
 Ki S* Sc 
 
 75 4 97 
 
 
 
 
 
 
 
 
 
 
 
 
 
 15'O 
 
 
 m K< S^ 
 
 
 
 
 
 
 15-2 
 
 15'4 
 
 * 92 81 
 
 ^7 T7 rti 
 
 73 fi 9 6 9 
 
 71 78 90 
 
 r8 f\A 1-9 
 
 * * * 
 
 * * * 
 
 * * IO2 
 
 88 78 72 
 60 61 c6 
 
 15-6 
 158 
 16 O 
 
 162 
 16-4 
 166 
 16-8 
 17 O 
 
 172 
 174 
 176 
 178 
 
 180 
 
 62 54 47 
 44 38 34 
 
 30 25 22 
 
 18 16 14 
 ii ii ii 
 
 788 
 7911 
 
 12 14 17 
 
 19 23 27 
 30 36 42 
 
 46 53 60 
 64 73 80 
 84 97 * 
 
 57 54 55 
 43 4 2 42 
 31 30 32 
 
 21 21 24 
 
 14 16 18 
 
 II 12 15 
 
 10 13 15 
 
 14 17 20 
 21 24 26 
 
 32 34 36 
 46 49 50 
 65 68 67 
 87 90 86 
 
 * * * 
 
 5 8 4 7 2 
 46 51 58 
 
 35 39 46 
 27 31 36 
 
 20 24 28 
 
 18 21 23 
 
 18 20 21 
 
 21 22 22 
 
 27 27 25 
 
 3 fi 34 3' 
 48 45 40 
 63 58 50 
 81 75 65 
 * 92 81 
 
 66 77 8 i 
 52 58 63 
 
 40 44 47 
 
 3* 34 35 
 25 26 26 
 
 21 21 2O 
 21 19 17 
 
 23 20 17 
 
 27 24 2O 
 
 35 30 27 
 
 45 39 35 
 
 57 50 46 
 
 70 62 58 
 
 86 87 83 
 65 65 61 
 
 48 47 43 
 
 35 33 3 
 24 23 19 
 18 15 12 
 
 15 12 IO 
 14 12 IO 
 
 17 '5 14 
 
 23 22 22 
 32 31 32 
 
 43 43 45 
 56 57 60 
 
 76 68 59 
 56 48 41 
 39 33 27 
 
 25 21 18 
 
 15 12 II 
 
 10 9 7 
 8 9 
 
 IO II 12 
 
 15 I? 21 
 24 28 32 
 
 36 42 47 
 51 58 67 
 67 78 89 
 
 5' 45 43 
 36 32 3 
 25 23 21 
 
 15 14 14 
 9 ii ii 
 8 911 
 9 I2 IS 
 
 15 I 9 22 
 
 25 29 33 
 
 38 43 48 
 55 62 66 
 76 83 88 
 
 IOI * * 
 
 Applied Constant : +90. The unit equals o d 'oooooi. 
 
 This Table is complementary to Table XLIV. It supplies a correction to the Semiduration which Is applicable when the Latitude as derived 
 
 from Tables XXX-XXXVIII lies between o'os and 2-05. 
 280 
 
XLIX 
 
 SATELLITE IV 
 
 Tables of the Phenomena 
 
 Equations of Semiduration 
 L 
 
 Eel., Oc., Sh., Tr. 
 
 i 
 
 2 
 
 i 
 
 2 
 
 a 
 
 Eel., Oc. 
 
 a 
 
 Eel., Oc. 
 
 d 
 
 
 
 d 
 + 0-000050 
 
 d 
 
 2500 
 
 d 
 - O'OOOO44 
 
 100 
 
 5 
 
 26OO 
 
 40 
 
 200 
 
 48 
 
 27OO 
 
 36 
 
 300 
 
 45 
 
 2800 
 
 30 
 
 400 
 
 42 
 
 29OO 
 
 H 
 
 5OO 
 
 37 
 
 3OOO 
 
 18 
 
 60O 
 
 + 0-000032 
 
 31 OO 
 
 -O'OOOOII 
 
 70O 
 
 26 
 
 3200 
 
 4 
 
 8OO 
 
 20 
 
 33OO 
 
 + 4 
 
 90O 
 
 13 
 
 34OO 
 
 1 1 
 
 1OOO 
 
 + 6 
 
 35OO 
 
 18 
 
 1 100 
 
 -O'OOOOOI 
 
 36OO 
 
 + 0-000024 
 
 12OO 
 
 8 
 
 37OO 
 
 3 
 
 13OO 
 
 15 
 
 38OO 
 
 36 
 
 1400 
 
 22 
 
 39OO 
 
 4' 
 
 15OO 
 
 28 
 
 4OOO 
 
 44 
 
 16OO 
 
 -0-OOOC34 
 
 41 OO 
 
 + 0*000047 
 
 1700 
 
 39 
 
 42OO 
 
 49 
 
 180O 
 
 43 
 
 430O 
 
 5 
 
 1900 
 
 46 
 
 44OO 
 
 5 
 
 2OOO 
 
 49 
 
 45OO 
 
 49 
 
 21 OO 
 
 -O'OOOOJO 
 
 46OO 
 
 + 0-000046 
 
 2200 
 
 5 
 
 47OO 
 
 43 
 
 230O 
 
 49 
 
 48OO 
 
 39 
 
 2400 
 
 47 
 
 49OO 
 
 34 
 
 25OO 
 
 - 0-000044 
 
 50OO 
 
 + 0-000028 
 
 
 2-5 2-4 2-3 2-2 
 Q-5 06 O-7 0-8 
 
 2-1 20 1-9 
 0-9 1-0 1-1 
 
 18 1-7 16 
 15 
 V2 1-3 14 
 
 
 d 
 
 
 
 10 10 10 10 
 
 IO IO IO 
 
 IO IO IO IO 
 
 d 
 
 O 
 
 20 
 
 IO II 12 12 
 
 12 13 13 
 
 13 13 '3 13 
 
 2O 
 
 40 
 
 IO 12 13 14 
 
 14 I 4 15 
 
 15 is 15 is 
 
 4O 
 
 60 
 
 10 13 14 15 
 
 16 16 16 
 
 17 17 17 17 
 
 6O 
 
 80 
 
 10 13 15 16 
 
 17 18 18 
 
 19 19 19 19 
 
 SO 
 
 100 
 
 10 14 15 16 
 
 17 18 18 
 
 19 19 19 19 
 
 100 
 
 120 
 
 10 13 15 16 
 
 17 18 18 
 
 19 19 19 19 
 
 12O 
 
 140 
 
 10 13 14 15 
 
 16 16 16 
 
 17 17 17 17 
 
 14O 
 
 16O 
 
 10 12 13 14 
 
 14 14 15 
 
 IS 15 15 i5 
 
 16O 
 
 ISO 
 
 IO II 12 12 
 
 12 13 13 
 
 13 13 '3 13 
 
 ISO 
 
 20O 
 
 IO IO IO IO 
 
 10 10 10 
 
 IO IO IO IO 
 
 2OO 
 
 22O 
 
 10 9 8 8 
 
 8 7 7 
 
 7777 
 
 22O 
 
 24O 
 
 10 8 7 6 
 
 6 6 5 
 
 5555 
 
 240 
 
 26O 
 
 10 7 6 5 
 
 444 
 
 3333 
 
 26O 
 
 28O 
 
 10 7 5 4 
 
 3 2 2 
 
 i i i i 
 
 28O 
 
 30O 
 
 10 6 5 4 
 
 3 2 2 
 
 i i i i 
 
 3OO 
 
 32O 
 
 10 7 5 4 
 
 3 2 2 
 
 i i i i 
 
 32O 
 
 34O 
 
 10 7 6 5 
 
 444 
 
 3333 
 
 34O 
 
 36O 
 
 10 8 7 6 
 
 666 
 
 5555 
 
 36O 
 
 38O 
 
 10 9 8 8 
 
 8 7 7 
 
 7777 
 
 38O 
 
 4OO 
 
 10 10 IO IO 
 
 10 10 IO 
 
 IO IO IO IO 
 
 400 
 
 Applied Constant : +10. 
 
 The unit equals o a 'oooooi. 
 
 No Constant has been added. 
 
 LI 
 
 Oc., Tr. 
 
 \ Lat. 
 0\ 
 
 2-48 2-46 2-44 
 52 0-54 56 
 
 242 240 2 38 
 
 58 60 62 
 
 2-36 2-34 2-32 
 64 66 68 
 
 230 220 2-1 
 
 70 80 90 
 
 200 1 90 1 80 
 
 1 00 1 10 1 2O 
 
 1 70 1-60 
 ISO 
 1 30 1 40 
 
 Lat./ 
 /ft 
 
 d 
 
 
 
 236 168 138 
 
 + 120 + 108 99 
 
 92 87 82 
 
 78 66 +59 
 
 54 51 49 
 
 48 +47 47 
 
 d 
 
 O 
 
 20 
 
 224 160 131 
 
 114 103 94 
 
 88 82 78 
 
 74 6 3 56 
 
 5 2 49 47 
 
 46 45 45 
 
 20 
 
 40 
 
 191 136 in 
 
 97 87 80 
 
 74 70 66 
 
 63 53 4 8 
 
 44 41 40 
 
 39 38 38 
 
 4O 
 
 60 
 
 136 96 79 
 
 69 62 57 
 
 53 5 47 
 
 45 38 34 
 
 31 29 28 
 
 28 27 27 
 
 60 
 
 80 
 
 70+50+41 
 
 36 32 + 30 
 
 27 +26 25 
 
 + 24 +20 18 
 
 16 15 15 
 
 14 H H 
 
 80 
 
 1OO 
 
 + 2 + 2 + I 
 
 + i + i + i 
 
 + i + i + i 
 
 + 1 O 
 
 O O 
 
 O O O 
 
 10O 
 
 12O 
 
 + 73+53+43 
 
 + 38+34+3* 
 
 + 29 +27 +26 
 
 + 25 +21 +19 
 
 + 17 + 16 + 16 
 
 + 15 +15 +15 
 
 12O 
 
 14O 
 
 138 98 81 
 
 70 63 58 
 
 54 5i 48 
 
 4<5 39 35 
 
 32 30 29 
 
 29 28 28 
 
 14O 
 
 16O 
 
 191 136 in 
 
 97 87 80 
 
 74 70 66 
 
 63 53 4 8 
 
 44 4 1 4 
 
 39 38 38 
 
 16O 
 
 ISO 
 
 224 160 131 
 
 114 103 94 
 
 88 82 78 
 
 74 63 56 
 
 52 49 47 
 
 46 45 45 
 
 18O 
 
 2OO 
 
 236 168 138 
 
 120 108 99 
 
 92 87 82 
 
 78 66 59 
 
 54 5' 49 
 
 4 8 47 47 
 
 2OO 
 
 220 
 
 + 224 + 160 +131 
 
 + 114 + 103 + 94 
 
 + 88 +82 +78 
 
 + 74 + 6 3 + 5 6 
 
 + 52 +49 +47 
 
 + 46 +45 +45 
 
 220 
 
 24O 
 
 191 136 in 
 
 97 87 80 
 
 74 70 66 
 
 63 53 48 
 
 44 4i 4 
 
 39 38 38 
 
 24O 
 
 26O 
 
 136 96 79 
 
 69 62 57 
 
 53 5 47 
 
 45 38 34 
 
 31 29 28 
 
 29 28 27 
 
 26O 
 
 28O 
 
 + 70+50+41 
 
 + 3 6 + 3 2 + 3 
 
 + 27 +26 +25 +24 +20 +18 
 
 + 16 +15 +15 
 
 + 14 +14 +14 
 
 28O 
 
 30O 
 
 + 2 + 2 I 
 
 + i i i 
 
 + i i + i 
 
 i i i 
 
 i i i 
 
 i i i 
 
 300 
 
 320 
 
 73 53 43 
 
 38 34 32 
 
 + 29 +27 26 25 21 19 
 
 17 16 16 
 
 15 +'5 '5 
 
 320 
 
 34O 
 
 138 98 81 
 
 70 63 58 
 
 54 51 48 
 
 46 39 35 
 
 32 30 29 
 
 29 28 28 
 
 340 
 
 36O 
 
 191 136 in 
 
 97 87 80 
 
 74 70 66 
 
 63 53 4 8 
 
 44 4 1 4 
 
 39 38 38 
 
 36O 
 
 38O 
 
 224 160 131 
 
 114 103 94 
 
 88 82 78 
 
 74 6 3 5 6 
 
 5 2 49 47 
 
 46 45 45 
 
 38O 
 
 4OO 
 
 + 236 168 138+120 108 + 99 +92 87 82 
 
 + 78 66 +59 
 
 54 5' 49 
 
 48 47 47 
 
 4OO 
 
 No Constant has been added. 
 
 The unit equals o d 'oooooi. 
 
 The upper sign applies to Occultations, the lower sign to Transits. 
 
 281 
 
LII 
 
 SATELLITE IV 
 
 Tables of the Phenomena 
 
 Reductions to Middle 
 
 Argument J 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 Eel., Oc. 
 
 A 
 
 u- 
 
 J 
 
 Sh., Tr. 
 
 A 
 
 |4. 
 
 d 
 -O-OOO928 
 
 -213 
 
 o 
 
 d 
 
 00 
 
 d 
 -O-OOIO72 
 
 -288 
 
 
 
 II4I 
 
 *i3 
 
 + i 
 
 01 
 
 1360 
 
 288 
 
 + I 
 
 1353 
 
 211 
 
 i 
 
 02 
 
 1647 
 
 286 
 
 2 
 
 1563 
 
 208 
 
 2 
 
 03 
 
 1931 
 
 281 
 
 3 
 
 1768 
 
 204 
 
 2 
 
 O4 
 
 2208 
 
 *75 
 
 3 
 
 1970 
 
 I 9 9 
 
 3 
 
 05 
 
 2481 
 
 268 
 
 4 
 
 -O-OO2l65 
 
 - 192 
 
 + 4 
 
 06 
 
 -O-OO2745 
 
 -259 
 
 + 5 
 
 2353 
 
 I8 4 
 
 4 
 
 O7 
 
 2999 
 
 249 
 
 6 
 
 2533 
 
 I 7 6 
 
 5 
 
 08 
 
 3242 
 
 237 
 
 6 
 
 2704 
 
 166 
 
 5 
 
 09 
 
 3473 
 
 225 
 
 7 
 
 2865 
 
 156 
 
 5 
 
 1 O 
 
 3692 
 
 211 
 
 8 
 
 -0-0030I5 
 
 -H5 
 
 + 6 
 
 1 
 
 -0-003895 
 
 -I 9S 
 
 + 8 
 
 3154 
 
 13* 
 
 7 
 
 2 
 
 4081 
 
 178 
 
 9 
 
 3*79 
 
 119 
 
 7 
 
 3 
 
 4251 
 
 1 61 
 
 9 
 
 339i 
 
 1 06 
 
 7 
 
 4 
 
 443 
 
 H3 
 
 IO 
 
 349 
 
 9i 
 
 8 
 
 5 
 
 4536 
 
 123 
 
 10 
 
 -0-003573 
 
 - 76 
 
 + 7 
 
 6 
 
 - 0-004649 
 
 - 103 
 
 + 10 
 
 3642 
 
 62 
 
 8 
 
 7 
 
 4742 
 
 83 
 
 10 
 
 3696 
 
 46 
 
 8 
 
 8 
 
 4815 
 
 62 
 
 II 
 
 3733 
 
 3 
 
 8 
 
 9 
 
 4865 
 
 40 
 
 II 
 
 3755 
 
 - H 
 
 8 
 
 2-0 
 
 4895 
 
 - 19 
 
 II 
 
 -0-003761 
 
 + 2 
 
 + 8 
 
 2-1 
 
 0-004903 
 
 + 3 
 
 + II 
 
 375i 
 
 18 
 
 8 
 
 22 
 
 4889 
 
 25 
 
 II 
 
 3725 
 
 35 
 
 8 
 
 2-3 
 
 4854 
 
 47 
 
 1 1 
 
 3682 
 
 5i 
 
 8 
 
 24 
 
 4796 
 
 68 
 
 IO 
 
 3624 
 
 65 
 
 7 
 
 25 
 
 4718 
 
 88 
 
 IO 
 
 -0-003552 
 
 + 80 
 
 + 7 
 
 26 
 
 -0-004620 
 
 + 109 
 
 + 10 
 
 3464 
 
 96 
 
 7 
 
 2-7 
 
 4501 
 
 129 
 
 10 
 
 3361 
 
 109 
 
 7 
 
 2-8 
 
 4363 
 
 148 
 
 9 
 
 3246 
 
 122 
 
 7 
 
 29 
 
 4205 
 
 1 66 
 
 9 
 
 3"7 
 
 136 
 
 7 
 
 30 
 
 43i 
 
 183 
 
 8 
 
 -0-002975 
 
 + H8 
 
 + 6 
 
 31 
 
 - 0-003839 
 
 + 199 
 
 + 8 
 
 2822 
 
 159 
 
 5 
 
 32 
 
 3<533 
 
 214 
 
 8 
 
 2658 
 
 169 
 
 4 
 
 33 
 
 34H 
 
 229 
 
 7 
 
 2484 
 
 I 7 6 
 
 5 
 
 34 
 
 3176 
 
 241 
 
 6 
 
 2302 
 
 I8 7 
 
 5 
 
 35 
 
 2929 
 
 252 
 
 5 
 
 -O'OOZIII 
 
 + 194 
 
 + 3 
 
 36 
 
 -0-002672 
 
 + 262 
 
 + 5 
 
 I9H 
 
 2OO 
 
 3 
 
 37 
 
 2406 
 
 270 
 
 4 
 
 1712 
 
 20 5 
 
 2 
 
 3-8 
 
 2132 
 
 277 
 
 3 
 
 1505 
 
 209 
 
 2 
 
 39 
 
 1852 
 
 283 
 
 2 
 
 1294 
 
 212 
 
 + I 
 
 4O 
 
 1567 
 
 286 
 
 + I 
 
 -0-OOI082 
 
 + 213 
 
 O 
 
 4-1 
 
 -0-001280 
 
 + 288 
 
 O 
 
 868 
 
 213 
 
 
 
 42 
 
 992 
 
 288 
 
 O 
 
 656 
 
 212 
 
 - I 
 
 43 
 
 704 
 
 287 
 
 _ I 
 
 445 
 
 210 
 
 I 
 
 4-4 
 
 418 
 
 284 
 
 2 
 
 237 
 
 207 
 
 2 
 
 45 
 
 136 
 
 280 
 
 3 
 
 -0-000031 
 
 + 203 
 
 - 3 
 
 46 
 
 + 0-000141 
 
 + 273 
 
 - 4 
 
 + 168 
 
 197 
 
 3 
 
 47 
 
 410 
 
 266 
 
 4 
 
 362 
 
 I 9 
 
 4 
 
 48 
 
 672 
 
 2 57 
 
 5 
 
 548 
 + 0-000726 
 
 182 
 
 + 173 
 
 4 
 - 5 
 
 49 
 5-0 
 
 9H 
 + Q-OOI 164 
 
 246 
 + 234 
 
 6 
 - 6 
 
 I 
 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 Eel., Oc. 
 
 A 
 
 j* 
 
 J 
 
 Sh., Tr. 
 
 A 
 
 14- 
 
 d 
 + O-OOO726 
 
 + '73 
 
 - 5 
 
 d 
 50 
 
 d 
 + 0-OOII64 
 
 + 234 
 
 - 6 
 
 894 
 
 163 
 
 5 
 
 5-1 
 
 1392 
 
 221 
 
 7 
 
 IO52 
 
 '53 
 
 6 
 
 5-2 
 
 1606 
 
 2O6 
 
 8 
 
 I 199 
 
 141 
 
 6 
 
 53 
 
 1804 
 
 190 
 
 8 
 
 1334 
 
 129 
 
 7 
 
 54 
 
 1986 
 
 "73 
 
 9 
 
 1456 
 
 115 
 
 7 
 
 55 
 
 2150 
 
 1 5 6 
 
 9 
 
 + 0-001564 
 
 + 102 
 
 - 7 
 
 5-6 
 
 + 0-002298 
 
 + 138 
 
 - 10 
 
 1659 
 
 87 
 
 8 
 
 57 
 
 2425 
 
 118 
 
 IO 
 
 1738 
 
 72 
 
 8 
 
 58 
 
 2533 
 
 98 
 
 IO 
 
 '803 
 
 57 
 
 8 
 
 59 
 
 2620 
 
 77 
 
 II 
 
 1852 
 
 
 8 
 
 60 
 
 2687 
 
 56 
 
 II 
 
 + O-OOI885 
 
 + 25 
 
 - 8 
 
 61 
 
 + O-OO2732 
 
 + 34 
 
 - II 
 
 1902 
 
 + 10 
 
 8 
 
 62 
 
 2755 
 
 + 13 
 
 II 
 
 1904 
 
 - 7 
 
 8 
 
 63 
 
 2757 
 
 - 9 
 
 II 
 
 1889 
 
 23 
 
 8 
 
 6'4 
 
 2738 
 
 31 
 
 1 1 
 
 1858 
 
 39 
 
 8 
 
 65 
 
 2696 
 
 53 
 
 II 
 
 + 0-OOl8l2 
 
 - 55 
 
 - 8 
 
 6'6 
 
 + 0-002633 
 
 - 74 
 
 - IO 
 
 1749 
 
 70 
 
 7 
 
 67 
 
 2549 
 
 94 
 
 IO 
 
 1673 84 
 
 7 
 
 68 
 
 2445 
 
 US 
 
 IO 
 
 15811 99 
 
 7 
 
 69 
 
 2320 
 
 135 
 
 IO 
 
 H75! "3 
 
 7 
 
 7-0 
 
 2176 
 
 153 
 
 9 
 
 + 0-001355 
 
 -127 
 
 - 7 
 
 71 
 
 + O-O02OI5 
 
 -171 
 
 - 9 
 
 1222 139 
 
 6 
 
 72 
 
 1835 
 
 187 
 
 8 
 
 IO77 151 
 
 6 
 
 73 
 
 1640 
 
 203 
 
 8 
 
 9 2I 
 
 162 
 
 5 
 
 74 
 
 1428 
 
 219 
 
 7 
 
 754 
 
 172 
 
 5 
 
 75 
 
 I2O3 
 
 232 
 
 6 
 
 + 0-000578 
 
 - 180 
 
 - 4 
 
 76 
 
 + 0-000965 
 
 -244 
 
 - 6 
 
 394 
 
 189 
 
 4 
 
 77 
 
 715 
 
 2 55 
 
 5 
 
 2OI 
 
 196 
 
 3 
 
 78 
 
 455 
 
 265 
 
 5 
 
 + 2 
 
 202 
 
 3 
 
 79 
 
 + 186 
 
 273 
 
 3 
 
 - 2O2 
 
 206 
 
 2 
 
 80 
 
 90 
 
 279 
 
 2 
 
 - 0-000409 
 
 - 209 
 
 - 2 
 
 8-1 
 
 -0-000371 
 
 -283 
 
 - 2 
 
 62O 
 
 212 
 
 - I 
 
 82 
 
 656 
 
 287 
 
 - I 
 
 833 
 
 213 
 
 O 
 
 8-3 
 
 944 
 
 288 
 
 O 
 
 1046 
 
 213 
 
 O 
 
 84 
 
 1232 
 
 288 
 
 O 
 
 1259 
 
 212 
 
 + I 
 
 85 
 
 1520 
 
 287 
 
 + I 
 
 -O-OOI47O 
 
 - 2IO 
 
 + I 
 
 86 
 
 -0-001805 
 
 -283 
 
 + 2 
 
 1678 
 
 2O6 
 
 3 
 
 87 
 
 2086 
 
 278 
 
 3 
 
 1881 
 
 2OO 
 
 3 
 
 88 
 
 2360 
 
 271 
 
 4 
 
 2078 
 
 195 
 
 3 
 
 8-9 
 
 2628 
 
 264 
 
 4 
 
 2270 
 
 188 
 
 4 
 
 90 
 
 2887 
 
 *54 
 
 5 
 
 -0-002454 
 
 - I 80 
 
 + 4 
 
 91 
 
 -0-003136 
 
 -*43 
 
 + 6 
 
 2629; 171 
 
 5 
 
 92 
 
 3372 
 
 230 
 
 6 
 
 2795 
 
 161 
 
 5 
 
 93 
 
 359 6 
 
 218 
 
 7 
 
 2950 
 
 150 
 
 6 
 
 9-4 
 
 3807 
 
 202 
 
 8 
 
 3094 
 
 138 
 
 6 
 
 95 
 
 3999 
 
 1 86 
 
 8 
 
 -0*003225 
 
 - 125 
 
 + 7 
 
 96 
 
 -0-004178 
 
 -170 
 
 + 9 
 
 3343 
 
 I 12 
 
 7 
 
 97 
 
 4338 
 
 151 
 
 IO 
 
 3448 
 
 9 8 
 
 7 
 
 98 
 
 44 8o 
 
 13* 
 
 10 
 
 3538 
 
 83 
 
 8 
 
 9-9 
 
 4601 
 
 112 
 
 IO 
 
 - 0-003614 
 
 - 68 
 
 + 8 
 
 100 
 
 -0-004703 
 
 -92 + 10 
 
 Applied Constant: -o^ooiocxj. This Table includes a constant portion of the Equation of Light. The Entry must be 
 
 Supplemented by the Equations from Tables LIII-LX. The whole must be corrected by adding to it its product by the Variation, as drawn from 
 
 Tables XXVI-XXIX. For Shadows and Transits it must also be corrected for Jupiter's Phase by Table LXI. 
 
 282 
 
LI I continued 
 
 SATELLITE IV 
 
 Tables of the Phenomena 
 
 Reductions to Middle 
 
 Argument J 
 
 I 
 
 * 3 
 
 4 5 
 
 6 
 
 7 
 
 Eel., Oc. 
 
 A |A 2 
 
 J 
 
 Sh., Tr. 
 
 A 
 
 * 
 
 d 
 -0*003614 
 
 - 68 
 
 + 8 
 
 d 
 
 100 
 
 d 
 -0-004703 
 
 - 92 
 
 + 10 
 
 3674 
 
 53 
 
 8 
 
 101 
 
 4785 
 
 72 
 
 II 
 
 3719 37 
 
 8 
 
 102 
 
 4846 
 
 5 
 
 II 
 
 374 8 21 
 
 8 
 
 103 
 
 4885 
 
 28 
 
 1 1 
 
 3761 
 
 - 5 
 
 8 
 
 1O-4 
 
 49 3 
 
 - 7 
 
 1 1 
 
 3758 
 
 + n 
 
 8 
 
 1O 5 
 
 4898 
 
 + '5 
 
 II 
 
 -0-003739 
 
 + 28 
 
 + 8 
 
 1O-6 
 
 -0-004872 
 
 + 36 
 
 + 11 
 
 3703 
 
 44 
 
 8 
 
 1O-7 
 
 4826 
 
 58 
 
 II 
 
 3651 
 
 59 
 
 7 
 
 1O8 
 
 4755 
 
 79 
 
 IO 
 
 3586 
 
 73 
 
 7 
 
 10-9 
 
 4666 
 
 99 
 
 IO 
 
 3505 
 
 88 
 
 8 
 
 110 
 
 4558 
 
 1 20 
 
 IO 
 
 - 0-003410 !+ IO3 
 
 + 7 
 
 11-1 
 
 - 0-004427 
 
 + 140 
 
 + 10 
 
 3299 II 7 
 
 7 
 
 11-2 
 
 4278 
 
 158 
 
 9 
 
 31/6 130 
 
 7 
 
 113 
 
 41 1 1 
 
 176 
 
 9 
 
 3040 143 
 
 6 
 
 114 
 
 39*7 
 
 192 
 
 8 
 
 2891 
 
 '54 
 
 5 
 
 115 
 
 3727 
 
 208 
 
 7 
 
 O-OO2732 
 
 + 164 
 
 + 5 
 
 116 
 
 -0*00351 1 
 
 + 221 
 
 + 7 
 
 2563 
 
 '74 
 
 5 
 
 1 1 '7 
 
 3283 
 
 235 
 
 7 
 
 2384 
 
 '83 
 
 4 
 
 11*8 
 
 34' 
 
 248 
 
 6 
 
 2197 
 
 191 
 
 4 
 
 11-9 
 
 2787 
 
 2 5 8 
 
 5 
 
 20O3 
 
 "97 
 
 3 
 
 12-O 
 
 2525 
 
 266 
 
 4 
 
 -O-OOlSoj 
 
 + 203 
 
 + 3 
 
 121 
 
 -0-002255 
 
 + 273 
 
 + 4 
 
 I 59 8 
 
 208 
 
 2 
 
 12-2 
 
 1978 
 
 280 
 
 3 
 
 1388 
 
 21 I 
 
 + I 
 
 12-3 
 
 1695 
 
 285 
 
 2 
 
 1176 
 
 2I 3 
 
 O 
 
 12-4 
 
 1409 
 
 287 
 
 + I 
 
 9 6 3 
 
 2'3 
 
 O 
 
 125 
 
 1122 
 
 288 
 
 O 
 
 -0-000750 
 
 + 212 
 
 - I 
 
 126 
 
 - O-OOO832 
 
 + 288 
 
 O 
 
 539 
 
 211 
 
 I 
 
 12-7 
 
 545 
 
 286 
 
 - I 
 
 328 
 
 209 
 
 2 
 
 128 
 
 261 
 
 282 
 
 2 
 
 122 
 
 2O4 
 
 2 
 
 12-9 
 
 + 18 
 
 277 
 
 3 
 
 + 80 
 
 20O 
 
 3 
 
 13 O 
 
 292 
 
 2 7 
 
 4 
 
 + 0-OOO277 
 
 + '93 
 
 - 4 
 
 13'1 
 
 + 0-000557 
 
 + 26l 
 
 - 5 
 
 466 
 
 186 
 
 4 
 
 13-2 
 
 814 
 
 251 
 
 6 
 
 648 
 
 178 
 
 5 
 
 13-3 
 
 1059 
 
 239 
 
 6 
 
 821 
 
 168 
 
 5 
 
 13-4 
 
 1292 
 
 227 
 
 7 
 
 983 
 
 158 
 
 6 
 
 13-5 
 
 '5'3 
 
 213 
 
 7 
 
 + O-OOII36 
 
 + 146 
 
 - 6 
 
 136 
 
 + 0-001718 
 
 + 198 
 
 - 8 
 
 1275 
 
 '34 
 
 6 
 
 137 
 
 1908 
 
 III 
 
 9 
 
 1404 
 
 122 
 
 7 
 
 138 
 
 2080 
 
 164 
 
 9 
 
 I5l8 
 
 I 08 
 
 7 
 
 139 
 
 2235 
 
 I 4 6 
 
 9 
 
 1619 
 
 94 
 
 7 
 
 14 O 
 
 2371 
 
 '27 
 
 10 
 
 + O-OOI705 
 
 + 79 
 
 - 8 
 
 14-1 
 
 + 0-002488 
 
 + IO7 
 
 - IO 
 
 1776 
 
 64 
 
 8 
 
 14-2 
 
 2584 
 
 86 
 
 IO 
 
 1832 
 
 48 
 
 8 
 
 14-3 
 
 2660 
 
 66 
 
 II 
 
 1873 
 
 33 
 
 8 
 
 144 
 
 2715 
 
 44 
 
 II 
 
 I8 97 
 
 + 16 
 
 8 
 
 145 
 
 2748 
 
 + 22 
 
 II 
 
 + 0-OOI905 
 
 o 
 
 - 8 
 
 146 
 
 + 0-002759 
 
 o 
 
 - II 
 
 I8 97 
 
 - '5 
 
 8 
 
 147 
 
 2749 
 
 - 21 
 
 II 
 
 1875 
 
 31 
 
 8 
 
 148 
 
 2717 
 
 43 
 
 II 
 
 1835 
 
 48 
 
 8 
 
 149 
 
 2664 
 
 64 
 
 1 1 
 
 + 0-001779 
 
 - 63 
 
 - 8 
 
 150 
 
 + 0-002589 - 86 '- ii 
 
 I 
 
 2 
 
 3 
 
 4 
 
 S 
 
 6 
 
 7 
 
 Eel., Oc. 
 
 A 
 
 i* 
 
 J 
 
 Sh., Tr. 
 
 A 
 
 A* 
 
 d 
 + 0-001779 
 
 - 63 
 
 - 8 
 
 d 
 
 150 
 
 d 
 + 0-002589 
 
 - 86 
 
 - II 
 
 1709 
 
 78 
 
 8 
 
 15'1 
 
 2493 
 
 1 06 
 
 10 
 
 1624 
 
 93 
 
 7 
 
 15-2 
 
 2378 
 
 "5 
 
 10 
 
 1524 
 
 107 
 
 7 
 
 15-3 
 
 2244 
 
 H5 
 
 IO 
 
 I4II 
 
 121 
 
 7 
 
 15-4 
 
 2089 
 
 164 
 
 9 
 
 1283 
 
 133 
 
 6 
 
 15-5 
 
 1917 
 
 1 80 
 
 8 
 
 + O-OOH45 
 
 - 146 
 
 - 6 
 
 15-6 
 
 + 0'OOI730 
 
 - 196 
 
 - 8 
 
 992 
 
 I 5 8 
 
 5 
 
 157 
 
 1525 
 
 213 
 
 8 
 
 830 
 
 169 
 
 5 
 
 15-8 
 
 1305 
 
 226 
 
 7 
 
 657 
 
 177 
 
 4 
 
 159 
 
 1073 
 
 239 
 
 6 
 
 477 
 
 I8 5 
 
 4 
 
 160 
 
 828 
 
 251 
 
 6 
 
 + 0-000288 
 
 -'93 
 
 - 4 
 
 16-1 
 
 + O-OOO572 
 
 -261 
 
 - 5 
 
 + 91 
 
 I 99 
 
 3 
 
 16-2 
 
 307 
 
 269 
 
 4 
 
 I IO 
 
 204 
 
 2 
 
 16-3 
 
 + 34 
 
 276 
 
 3 
 
 316 
 
 208 
 
 2 
 
 16-4 
 
 245 
 
 282 
 
 3 
 
 526 
 
 212 
 
 - I 
 
 165 
 
 529 
 
 286 
 
 2 
 
 -0-000739 
 
 -213 
 
 O 
 
 166 
 
 -0-000816 
 
 -288 
 
 - I 
 
 952 
 
 213 
 
 O 
 
 167 
 
 1104 
 
 288 
 
 O 
 
 1165 
 
 212 
 
 + I 
 
 16-8 
 
 1392 
 
 288 
 
 + I 
 
 1377 
 
 2IO 
 
 I 
 
 169 
 
 1679 
 
 285 
 
 2 
 
 1585 
 
 207 
 
 2 
 
 170 
 
 1962 
 
 280 
 
 3 
 
 -0-001791 
 
 -203 
 
 + 2 
 
 17-1 
 
 -0-002238 
 
 -274 
 
 + 3 
 
 1991 
 
 198 
 
 3 
 
 172 
 
 2510 
 
 268 
 
 4 
 
 2186 
 
 191 
 
 4 
 
 17-3 
 
 2773 
 
 259 
 
 5 
 
 2373 
 
 183 
 
 4 
 
 174 
 
 3027 
 
 248 
 
 6 
 
 2552 
 
 175 
 
 4 
 
 175 
 
 3269 
 
 236 
 
 6 
 
 -0-002722 
 
 -166 
 
 + 5 
 
 176 
 
 -0-003498 
 
 -223 
 
 + 7 
 
 2883 
 
 156 
 
 6 
 
 177 
 
 3715 
 
 2IO 
 
 7 
 
 333 
 
 43 
 
 7 
 
 178 
 
 3917 
 
 I 9 4 
 
 8 
 
 3168 
 
 130 
 
 7 
 
 17-9 
 
 4103 
 
 >77 
 
 9 
 
 3292 
 
 118 
 
 7 
 
 180 
 
 4270 
 
 '59 
 
 9 
 
 -0-003403 
 
 - 104 
 
 + 7 
 
 181 
 
 - 0-004420 
 
 - 140 
 
 + 10 
 
 3500 
 
 90 
 
 7 
 
 18-2 
 
 455 
 
 1 20 
 
 10 
 
 3582 
 
 75 
 
 8 
 
 18-3 
 
 4660 
 
 IOI 
 
 IO 
 
 3650 
 
 60 
 
 8 
 
 18-4 
 
 475' 
 
 81 
 
 IO 
 
 3702 
 
 43 
 
 8 
 
 18*5 
 
 4822 
 
 60 
 
 II 
 
 -0-003736 
 
 - 27 
 
 + 8 
 
 18-6 
 
 - 0-004870 
 
 - 38 
 
 + II 
 
 3755 
 
 - 13 
 
 8 
 
 18-7 
 
 4898 
 
 - 17 
 
 II 
 
 3761 
 
 + 3 
 
 8 
 
 18-8 
 
 4904 
 
 + 5 
 
 11 
 
 375 
 
 20 
 
 8 
 
 189 
 
 4887 
 
 27 
 
 II 
 
 3722 
 
 37 
 
 8 
 
 19 O 
 
 4849 
 
 49 
 
 II 
 
 -0-003676 
 
 + 53 
 
 + 7 
 
 19-1 
 
 0*004790 
 
 + 71 
 
 + 11 
 
 3617 
 
 67 
 
 7 
 
 192 
 
 4708 
 
 9' 
 
 IO 
 
 3542 
 
 82 
 
 7 
 
 193 
 
 4608 
 
 in 
 
 IO 
 
 3453 
 
 97 
 
 7 
 
 194 
 
 4487 
 
 131 
 
 IO 
 
 3349 
 
 in 
 
 7 
 
 195 
 
 4347 
 
 150 
 
 9 
 
 -0-003232 
 
 + 124 
 
 + 6 
 
 19-6 
 
 -0*004188 
 
 + 168 
 
 + 9 
 
 3101 
 
 137 
 
 6 
 
 197 
 
 401 1 
 
 185 
 
 8 
 
 2958 
 2804 
 
 '49 
 1 60 
 
 6 
 5 
 
 198 
 199 
 
 3818 
 3609 
 
 2OI 
 
 216 
 
 8 
 
 7 
 
 -0-002639 
 
 + 170 
 
 + 5 
 
 200 
 
 -0-003387 
 
 + 228 
 
 + 6 
 
 Applied Constant : - o-ooiocx). This Table includes a constant portion of the Equation of Light. T^ 6 Bntr 5' must be 
 
 supplemented by the Equations from Tables LIII-LX. The whole must be corrected by adding to it its product by the Variation, as drawn from 
 
 Tables XXVI-XXIX. For Shadows and Transits it must also be corrected for Jupiter's Phase by Table LXI. 
 
LIII 
 
 SATELLITE IV 
 
 Tables of the Phenomena 
 
 Reductions to Middle 
 
 Argument K 
 
 I 
 
 i 
 
 3 
 
 4 
 
 5 
 
 Eel., Oc. 
 
 A 
 
 K 
 
 Sh., Tr. 
 
 A 
 
 d 
 O'OOOyjO 
 
 - 47 
 
 d 
 00 
 
 d 
 O-OOO75O 
 
 - 55 
 
 703 
 
 47 
 
 01 
 
 696 
 
 55 
 
 656 
 
 47 
 
 02 
 
 6 4 I 
 
 54 
 
 610 
 
 46 
 
 03 
 
 587 
 
 54 
 
 564 
 
 45 
 
 04 
 
 534 
 
 53 
 
 520 
 
 44 
 
 05 
 
 482 
 
 5' 
 
 0-000477 
 
 - 43 
 
 06 
 
 0-000432 
 
 - 49 
 
 435 
 
 4> 
 
 0-7 
 
 384 
 
 47 
 
 395 
 
 39 
 
 08 
 
 338 
 
 45 
 
 357 
 
 37 
 
 09 
 
 294 
 
 43 
 
 322 
 
 34 
 
 10 
 
 252 
 
 40 
 
 0-000289 
 
 - 32 
 
 1-1 
 
 0-000214 
 
 - 37 
 
 258 
 
 30 
 
 1-2 
 
 J79 
 
 34 
 
 230 
 
 26 
 
 3 
 
 146 
 
 3 
 
 206 
 
 23 
 
 4 
 
 117 
 
 27 
 
 184 
 
 21 
 
 5 
 
 92 
 
 23 
 
 0-000165 
 
 - 17 
 
 6 
 
 0-00007 ' 
 
 - 20 
 
 150 
 
 '4 
 
 7 
 
 53 
 
 16 
 
 138 
 
 10 
 
 8 
 
 39 
 
 12 
 
 130 
 
 7 
 
 9 
 
 29 
 
 8 
 
 125 
 
 - 3 
 
 20 
 
 24 
 
 - 3 
 
 0-000124 
 
 o 
 
 21 
 
 0-000023 
 
 + i 
 
 126 
 
 + 4 
 
 2-2 
 
 26 
 
 5 
 
 132 
 
 8 
 
 23 
 
 32 
 
 9 
 
 141 
 
 ii 
 
 24 
 
 43 
 
 '3 
 
 154 
 
 15 
 
 2-5 
 
 58 
 
 '7 
 
 0-000170 
 
 + 18 
 
 26 
 
 0-000076 
 
 + 21 
 
 189 
 
 21 
 
 27 
 
 99 
 
 2 5 
 
 212 
 
 25 
 
 2-8 
 
 i*5 
 
 28 
 
 2 3 8 
 
 28 
 
 29 
 
 '55 
 
 32 
 
 267 
 
 3 
 
 30 
 
 188 
 
 35 
 
 O-OO0298 
 
 + 33 
 
 3-1 
 
 0-000225 
 
 + 39 
 
 332 
 
 35 
 
 32 
 
 264 
 
 4i 
 
 368 
 
 37 
 
 33 
 
 306 
 
 43 
 
 406 
 
 39 
 
 3-4 
 
 35 
 
 46 
 
 446 
 
 4> 
 
 3-5 
 
 397 
 
 48 
 
 0-000488 
 
 + 43 
 
 36 
 
 0-000446 
 
 + 5 
 
 532 
 
 4 I 
 
 37 
 
 497 
 
 52 
 
 577 
 
 46 
 
 38 
 
 549 
 
 53 
 
 623 
 
 46 
 
 39 
 
 602 
 
 54 
 
 669 
 
 47 
 
 40 
 
 656 
 
 54 
 
 0-000716 
 
 + 47 
 
 4-1 
 
 0-000710 
 
 + 55 
 
 763 
 
 47 
 
 4-2 
 
 765 
 
 55 
 
 810 
 
 47 
 
 43 
 
 820 
 
 55 
 
 857 
 
 47 
 
 4-4 
 
 874 
 
 54 
 
 93 
 
 46 
 
 45 
 
 928 
 
 54 
 
 0-000948 
 
 + 45 
 
 4-6 
 
 0-000981 
 
 + 5* 
 
 992 
 
 44 
 
 47 
 
 1032 
 
 5 
 
 1035 
 
 '42 
 
 48 
 
 1081 
 
 48 
 
 1076 
 
 4 
 
 4-9 
 
 1 129 
 
 47 
 
 0-001115 
 
 + 39 
 
 50 
 
 0-001175 
 
 + 45 
 
 I 
 
 2 
 
 3 
 
 4 
 
 5 
 
 Eel., Oc. 
 
 A 
 
 K 
 
 Sh., Tr. 
 
 A 
 
 d 
 
 o-ooi 115 
 
 + 39 
 
 d 
 50 
 
 d 
 O-OOI175 
 
 + 45 
 
 1153 
 
 37 
 
 51 
 
 1218 
 
 42 
 
 1188 
 
 34 
 
 52 
 
 1259 
 
 39 
 
 I22O 
 
 3i 
 
 53 
 
 1296 
 
 36 
 
 1250 
 
 29 
 
 5'4 
 
 1331 
 
 33 
 
 1277 
 
 26 
 
 55 
 
 1362 
 
 30 
 
 O-OOI3OI 
 
 + 23 
 
 56 
 
 O-OOI39O 
 
 + 26 
 
 1322 
 
 20 
 
 57 
 
 I4H 
 
 23 
 
 1340 
 
 16 
 
 58 
 
 H35 
 
 '9 
 
 1354 
 
 13 
 
 59 
 
 1451 
 
 15 
 
 '3 6 5 
 
 9 
 
 60 
 
 1464 
 
 ii 
 
 O-OOI372 
 
 + 5 
 
 61 
 
 O-OOI473 
 
 + 7 
 
 1375 
 
 + 2 
 
 62 
 
 H77 
 
 + 2 
 
 1376 
 
 I 
 
 63 
 
 H77 
 
 2 
 
 1373 
 
 5 
 
 64 
 
 M74 
 
 6 
 
 I 3 66 
 
 9 
 
 6-5 
 
 1466 
 
 10 
 
 O-OOI356 
 
 - 12 
 
 66 
 
 O-OO1454 
 
 - H 
 
 1342 
 
 16 
 
 6-7 
 
 H38 
 
 18 
 
 1325 
 
 "9 
 
 6-8 
 
 1418 
 
 22 
 
 1305 
 
 22 
 
 6-9 
 
 '394 
 
 26 
 
 I28l 
 
 25 
 
 70 
 
 1367 
 
 29 
 
 O-OOI255 
 
 - 28 
 
 7-1 
 
 0-001336 
 
 - 33 
 
 1226 
 
 3 1 
 
 7'2 
 
 1302 
 
 36 
 
 1194 
 
 34 
 
 73 
 
 1265 
 
 39 
 
 1159 
 
 36 
 
 7-4 
 
 1225 
 
 42 
 
 1122 
 
 38 
 
 75 
 
 1182 
 
 44 
 
 O-OOIO83 
 
 - 40 
 
 7-6 
 
 o-ooi 137 
 
 - 47 
 
 1042 
 
 42 
 
 77 
 
 1089 
 
 49 
 
 1OOO 
 
 43 
 
 78 
 
 1040 
 
 5 
 
 956 
 
 45 
 
 79 
 
 989 
 
 52 
 
 910 
 
 46 
 
 80 
 
 936 
 
 53 
 
 0-000864 
 
 -46 
 
 8-1 
 
 0-000883 
 
 - 54 
 
 818 
 
 47 
 
 8-2 
 
 829 
 
 55 
 
 771 
 
 47 
 
 83 
 
 774 
 
 55 
 
 724 
 
 47 
 
 8-4 
 
 719 
 
 55 
 
 677 
 
 47 
 
 8-5 
 
 665 
 
 55 
 
 0-000630 
 
 - 47 
 
 8-6 
 
 0-000610 
 
 - 54 
 
 584 
 
 46 
 
 87 
 
 557 
 
 53 
 
 539 
 
 45 
 
 88 
 
 55 
 
 S 2 
 
 495 
 
 43 
 
 8-9 
 
 454 
 
 5 
 
 453 
 
 4 2 
 
 90 
 
 405 
 
 48 
 
 0-000412 
 
 - 4 
 
 9-1 
 
 0*000358 
 
 -46 
 
 373 
 
 38 
 
 92 
 
 3i3 
 
 44 
 
 337 
 
 35 
 
 93 
 
 270 
 
 42 
 
 303 
 
 33 
 
 9-4 
 
 230 
 
 38 
 
 272 
 
 3i 
 
 95 
 
 194 
 
 35 
 
 0-000242 
 
 - 28 
 
 9-6 
 
 o - oooi6o 
 
 - 32 
 
 216 
 
 25 
 
 97 
 
 130 
 
 29 
 
 192 
 
 22 
 
 98 
 
 103 
 
 2 5 
 
 172 
 
 18 
 
 9-9 
 
 80 
 
 22 
 
 0-000156 
 
 - H 
 
 100 
 
 0-000060 
 
 - 18 
 
 Applied Constant : +0^-000750. 
 
LIV 
 
 SATELLITE IV 
 
 Tables of the Phenomena 
 
 Reductions to Middle 
 LV 
 
 I 
 
 z 
 
 3 
 
 4 
 
 5 
 
 Eel., Oc. 
 
 A 
 O d 'I 
 
 L 
 
 Sh., Tr. 
 
 A 
 
 o<i-i 
 
 d 
 
 
 d 
 
 d 
 
 
 O'OOOIOO 
 
 + 6 
 
 00 
 
 O'OOOIOO 
 
 + 6 
 
 1 1 1 
 
 5 
 
 02 
 
 I 12 
 
 6 
 
 120 
 
 5 
 
 O-4 
 
 I2 4 
 
 6 
 
 130 
 
 5 
 
 06 
 
 135 
 
 5 
 
 139 
 
 4 
 
 08 
 
 '45 
 
 5 
 
 I 4 6 
 
 4 
 
 10 
 
 154 
 
 4 
 
 0-000:53 
 
 + 3 
 
 1-2 
 
 O-OOOI62 
 
 + 4 
 
 159 
 
 3 
 
 1-4 
 
 l6g 
 
 3 
 
 164 
 
 2 
 
 1-6 
 
 174 
 
 2 
 
 167 
 
 + I 
 
 1-8 
 
 I 7 8 
 
 2 
 
 1 68 
 
 O 
 
 20 
 
 I 80 
 
 + 1 
 
 0-000168 
 
 
 
 22 
 
 O'OOOlSo 
 
 _ , 
 
 1 66 
 
 I 
 
 2'4 
 
 177 
 
 2 
 
 163 
 
 2 
 
 2-6 
 
 '74 
 
 2 
 
 158 
 
 3 
 
 2-8 
 
 168 
 
 3 
 
 '53 
 
 3 
 
 30 
 
 161 
 
 4 
 
 0-000146 
 
 -4 
 
 32 
 
 0-000152 
 
 -5 
 
 138 
 
 5 
 
 34 
 
 '43 
 
 5 
 
 128 
 
 5 
 
 36 
 
 133 
 
 5 
 
 118 
 
 5 
 
 38 
 
 122 
 
 6 
 
 109 
 
 5 
 
 40 
 
 I II 
 
 6 
 
 0-000098 
 
 -5 
 
 42 
 
 O-OOOOgS 
 
 -6 
 
 89 
 
 5 
 
 44 
 
 86 
 
 6 
 
 78 
 
 5 
 
 46 
 
 75 
 
 6 
 
 69 
 
 5 
 
 48 
 
 64 
 
 5 
 
 60 
 
 4 
 
 5-0 
 
 54 
 
 5 
 
 0-000053 
 
 -4 
 
 5-2 
 
 0-000045 
 
 -5 
 
 46 
 
 3 
 
 54 
 
 36 
 
 4 
 
 40 
 
 3 
 
 5-6 
 
 3 
 
 3 
 
 36 
 
 2 
 
 5-8 
 
 25 
 
 2 
 
 33 
 
 - I 
 
 60 
 
 22 
 
 - I 
 
 0-000032 
 
 O 
 
 62 
 
 O-OOOO2O 
 
 
 
 33 
 
 + 1 
 
 64 
 
 21 
 
 + 1 
 
 34 
 
 I 
 
 6-6 
 
 23 
 
 2 
 
 38 
 
 2 
 
 68 
 
 27 
 
 3 
 
 4 2 
 
 3 
 
 7-O 
 
 33 
 
 3 
 
 0-000048 
 
 + 3 
 
 72 
 
 0-000040 
 
 + 4 
 
 55 
 
 4 
 
 74 
 
 48 
 
 5 
 
 64 
 
 5 
 
 76 
 
 58 
 
 5 
 
 73 
 
 5 
 
 7-8 
 
 68 
 
 6 
 
 82 
 
 5 
 
 8'0 
 
 80 
 
 6 
 
 0-000093 
 
 + 5 
 
 8-2 
 
 0-000091 
 
 + 6 
 
 103 
 
 5 
 
 8-4 
 
 104 
 
 6 
 
 H3 
 
 5 
 
 86 
 
 116 
 
 6 
 
 123 
 
 5 
 
 8-8 
 
 127 
 
 6 
 
 13* 
 
 5 
 
 90 
 
 138 
 
 5 
 
 0-000141 
 
 + 4 
 
 9-2 
 
 0-000147 
 
 + 5 
 
 149 
 
 4 
 
 94 
 
 '57 
 
 5 
 
 l 
 
 3 
 
 96 
 
 ,65 
 
 4 
 
 1 60 
 
 2 
 
 98 
 
 171 
 
 3 
 
 0-000164 
 
 + 2 
 
 100 
 
 0-000175 
 
 + 2 
 
 Applied Constant : +o d 'oooioo. 
 
 I 
 
 2 
 
 I 
 
 2 
 
 M 
 
 E. J 0.,S.,T. 
 
 M 
 
 E.,0,S.,T. 
 
 d 
 00 
 
 d 
 
 O-OOOO50 
 
 d 
 
 100 
 
 d 
 O-OOOOI7 
 
 02 
 
 45 
 
 102 
 
 17 
 
 O4 
 
 4 
 
 1O 4 
 
 16 
 
 06 
 
 35 
 
 106 
 
 16 
 
 0-8 
 
 3 
 
 108 
 
 17 
 
 10 
 
 26 
 
 11 O 
 
 18 
 
 1-2 
 
 0-000023 
 
 11-2 
 
 O-OOOO2I 
 
 1-4 
 
 20 
 
 11-4 
 
 24 
 
 16 
 
 || 
 
 116 
 
 28 
 
 1-8 
 
 17 
 
 118 
 
 32 
 
 20 
 
 16 
 
 12 O 
 
 37 
 
 22 
 
 0-000016 
 
 122 
 
 0-000042 
 
 24 
 
 17 
 
 12-4 
 
 47 
 
 2-6 
 
 18 
 
 12-6 
 
 53 
 
 2-8 
 
 20 
 
 12'8 
 
 57 
 
 30 
 
 23 
 
 130 
 
 62 
 
 3-2 
 
 O-OOO027 
 
 132 
 
 0*000067 
 
 3-4 
 
 3> 
 
 13-4 
 
 7> 
 
 3-6 
 
 36 
 
 13-6 
 
 75 
 
 3-8 
 
 4' 
 
 138 
 
 78 
 
 40 
 
 46 
 
 140 
 
 81 
 
 4-2 
 
 0-000051 
 
 14-2 
 
 0-000083 
 
 4-4 
 
 56 
 
 144 
 
 85 
 
 4-6 
 
 61 
 
 146 
 
 84 
 
 48 
 
 66 
 
 148 
 
 84 
 
 50 
 
 70 
 
 ISO 
 
 83 
 
 5-2 
 
 0-000074 
 
 152 
 
 0-00008 1 
 
 54 
 
 77 
 
 15-4 
 
 78 
 
 56 
 
 So 
 
 15-6 
 
 75 
 
 5-8 
 
 82 
 
 158 
 
 7J 
 
 60 
 
 84 
 
 160 
 
 67 
 
 62 
 
 0-000085 
 
 16-2 
 
 0-000063 
 
 6-4 
 
 84 
 
 164 
 
 58 
 
 66 
 
 83 
 
 16-6 
 
 53 
 
 68 
 
 82 
 
 168 
 
 48 
 
 7-O 
 
 79 
 
 170 
 
 42 
 
 72 
 
 0-000076 
 
 172 
 
 0-000037 
 
 7-4 
 
 72 
 
 174 
 
 33 
 
 7-6 
 
 68 
 
 176 
 
 29 
 
 78 
 
 64 
 
 17-8 
 
 24 
 
 80 
 
 59 
 
 18 O 
 
 21 
 
 8-2 
 
 0-000054 
 
 18-2 
 
 O'OOOOlS 
 
 84 
 
 49 
 
 18-4 
 
 17 
 
 86 
 
 43 
 
 186 
 
 '7 
 
 88 
 
 38 
 
 18-8 
 
 17 
 
 90 
 
 34 
 
 190 
 
 16 
 
 92 
 
 0-000030 
 
 192 
 
 0-000016 
 
 9-4 
 
 25 
 
 194 
 
 17 
 
 96 
 
 22 
 
 196 
 
 18 
 
 98 
 
 '9 
 
 198 
 
 22 
 
 10-0 
 
 O-OOOOI7 
 
 20 
 
 O-OOOO25 
 
 LVI 
 
 I 
 
 2 
 
 E 
 
 E.,0.,S,T. 
 
 d 
 00 
 
 d 
 O-OOOO5O 
 
 05 
 
 55 
 
 10 
 
 60 
 
 1-5 
 
 65 
 
 2-0 
 
 69 
 
 25 
 
 73 
 
 3-O 
 
 0-000075 
 
 3-5 
 
 77 
 
 4-0 
 
 78 
 
 4-5 
 
 78 
 
 5-0 
 
 77 
 
 55 
 
 0-000075 
 
 60 
 
 72 
 
 6-5 
 
 68 
 
 7O 
 
 64 
 
 75 
 
 59 
 
 80 
 
 0-000054 
 
 8-5 
 
 48 
 
 90 
 
 43 
 
 95 
 
 38 
 
 100 
 
 34 
 
 105 
 
 0*000030 
 
 110 
 
 26 
 
 115 
 
 24 
 
 120 
 
 23 
 
 125 
 
 22 
 
 130 
 
 O'OOO022 
 
 13-5 
 
 24 
 
 140 
 
 26 
 
 14-5 
 
 29 
 
 150 
 
 33 
 
 15-5 
 
 0-000038 
 
 160 
 
 43 
 
 16-5 
 
 48 
 
 17-O 
 
 53 
 
 175 
 
 58 
 
 18 O 
 
 0-000063 
 
 185 
 
 68 
 
 190 
 
 7' 
 
 195 
 
 74 
 
 200 
 
 0-000077 
 
 Constant : +o d 'ooooso. 
 
 LVII 
 
 i 
 
 2 
 
 1 
 
 Eel., Oc. 
 
 
 d 
 
 185O 
 
 O-OOOOO5 
 
 60 
 70 
 80 
 9O 
 
 7 
 9 
 9 
 10 
 
 1900 
 
 IO 
 
 1910 
 
 O'OOOOII 
 
 20 
 30 
 40 
 
 14 
 
 17 
 
 22 
 
 50 
 
 *9 
 
 I960 
 70 
 80 
 90 
 
 0-000037 
 46 
 
 54 
 62 
 
 2000 
 
 0-000068 
 
 Constant : -f-o d 'ooooso. 
 
 LVI 1 1 
 
 I 
 
 2 
 
 1 
 
 Sh., Tr. 
 
 1850 
 
 d 
 
 O-OOOO95 
 
 60 
 
 93 
 
 70 
 
 9' 
 
 80 
 
 9 1 
 
 9O 
 
 90 
 
 1900 
 
 9 
 
 1910 
 
 0-000089 
 
 20 
 
 86 
 
 3O 
 
 83 
 
 4O 
 
 78 
 
 50 
 
 7i 
 
 I960 
 
 0-000063 
 
 70 
 
 54 
 
 80 
 
 46 
 
 90 
 
 38 
 
 2000 
 
 0-000032 
 
 Constant: +o d- oooo5o. 
 
 Applied Constant : +o (l 'ooooso. 
 
 285 
 
LIX 
 
 SATELLITE IV 
 
 Tables of the Phenomena 
 
 Equation of the Reduction 
 
 Occultations 
 
 \J 
 
 T\ 
 
 O d -O O d> 5 1 d 'O 
 
 ld- 5 2 d O 2 d> 5 
 
 3 d O 3 d 5 4 d O 
 
 4 d -5 5 d 'O 5'5 
 
 6 d -O 6 d 5 7 d -O 
 
 7 d 5 8 d 'O 8 d 5 
 
 9 d -O 
 
 d 
 
 
 
 
 
 
 
 
 o 
 
 +17+17+16 
 
 +14+12+10 
 
 + 8 + 5 + 1 
 
 - 2 - 5 - 8 
 
 II - 13 - 15 
 
 -16-17-17 
 
 - '7 
 
 10 
 
 20 
 30 
 
 4O 
 50 
 
 + 109 +107 +101 
 + 197 +193 +182 
 + 280 +274 +259 
 
 + 354 +347 +328 
 + 418 +409 +388 
 
 +92+79+64 
 + 166 +144 +116 
 + 236 +204 +164 
 + 298 +258 +208 
 + 352 +305 +245 
 
 + 46 + 28 + 8 
 + 84 + 49+13 
 + 119 + 70 +19 
 + 151 + 88 +23 
 + 178 + 104 + 28 
 
 -13 - 34 - 5 l 
 - 24 - 60 - 94 
 -34-85 -134 
 -44 - 1 08 - 169 
 -51 - 127 - 200 
 
 - 69 - 84 - 95 
 -125 - 151 - 171 
 - 178 -214 - 244 
 -225 -271 -308 
 -265 -321 -365 
 
 - 103 - 109 - 109 
 - 186 - 195 - 196 
 -265 -278 -279 
 
 -335 -351 -352 
 -397 -415 -416 
 
 - 1 06 
 -191 
 
 -271 
 
 -342 
 -410 
 
 6O 
 7O 
 80 
 90 
 100 
 
 + 470 +460 +435 
 + 507 +497 +470 
 + 530 +519 +492 
 + 537 +526 +498 
 + 528 +517 +490 
 
 + 395 +343 +275 
 + 427 +370 +298 
 + 446 +387 +311 
 + 452 +392 +316 
 + 445 +386 +311 
 
 + 199 +116 +31 
 + 216 +126 +33 
 + 226 +132 +35 
 + 229 +134 +35 
 + 225 +131 +34 
 
 -57 -144 -224 
 
 -63 -155 -243 
 -65 -163 -253 
 -66 - 164 - 257 
 -65 - 161 - 252 
 
 298 360 409 
 -322 -388 -443 
 -336 -406 -463 
 -341 -412 -469 
 -336 -44 -461 
 
 -445 -466 -468 
 -483 -503 -505 
 -502 -526 -528 
 
 -59 -533 -535 
 -502 -524 -526 
 
 -454 
 -490 
 
 -513 
 -520 
 -511 
 
 110 
 12O 
 13O 
 14O 
 15O 
 
 + 504 +494 +467 
 + 464 +455 +431 
 + 412 +403 +382 
 + 347 +340 +322 
 + 272 +266 +252 
 
 + 425 +368 +295 
 
 + 39* +339 + Z 73 
 + 347 +301 +*4 2 
 + 292 +252 +203 
 + 229 +198 + 160 
 
 + 215 +125 +33 
 + 198 + 116 +30 
 + 176 +103 +27 
 
 + 148 + 87 +22 
 
 + 115 + 68 +17 
 
 -62 -155 -241 
 
 - 57 - 142 - 222 
 -50 - 126 - 197 
 
 42 - 106 - 166 
 -33 - 83 -130 
 
 -319 -387 -440 
 
 -295 -357 -45 
 -262 -316 -360 
 - 220 - 266 - 303 
 -173 -209 -238 
 
 -477 -500 -502 
 -440 -461 -462 
 390 409 410 
 -328 -344 -345 
 -257 -270 -271 
 
 -487 
 -449 
 
 -399 
 -335 
 - 263 
 
 16O 
 170 
 18O 
 190 
 2OO 
 
 + 188 +184 +175 
 +98+96+92 
 + 9+8+8 
 -83-82-78 
 - 173 - 169 - 1 60 
 
 + 159 +138 + in 
 +83+72+58 
 + 7+7+6 
 -71-61-48 
 - 146 - 126 - 101 
 
 + 80 + 47 +12 
 + 42 + 25 + 6 
 
 + 4+2 
 
 - 36 -- 20 -- 6 
 - 74 - 43 -'2 
 
 -24-57-90 
 -13-30-47 
 
 -i - 3 - 5 
 
 + 10 + 26 + 40 
 
 + 21 + 54 + 83 
 
 - I2O - 144 164 
 -63-76-86 
 
 -6-7-8 
 +53+64+73 
 + 110 +132 +151 
 
 -178 -187 -187 
 - 94 - 98 - 98 
 -8-9-9 
 +80+83+83 
 + 164 +172 +173 
 
 -182 
 - 96 
 - 8 
 + 82 
 + 168 
 
 21O 
 220 
 23O 
 24O 
 250 
 
 -258 -253 -239 
 -335 -328 -31 
 -43 -394 -373 
 -457 -448 -4*4 
 -499 -489 ~4 6 3 
 
 -217 -189 -151 
 -283 -244 -197 
 -339 -294 -235 
 
 -385 -334 -269 
 -420 -364 -293 
 
 - 1 10 - 64 - 17 
 
 -143 - 83 -22 
 
 - 171 - 100 - 26 
 
 -194 -114 -30 
 
 -212 -124 -33 
 
 +32 + 80 +123 
 + 41 +102 +157 
 +50 +123 +192 
 + 56 +140 +219 
 
 + 61 +152 +239 
 
 + 164 +198 +226 
 + 213 +257 +292 
 + 255 +308 +351 
 + 290 +350 +399 
 + 317 +382 +435 
 
 + 245 +256 +257 
 + 317 +332 +334 
 + 381 +399 +401 
 + 433 +454 +455 
 + 472 +495 +497 
 
 + 250 
 + 324 
 + 389 
 + 442 
 + 483 
 
 26O 
 27O 
 280 
 29O 
 3OO 
 
 -526 -515 -488 
 -537 -526 -498 
 -532 -521 -493 
 -512 -498 -474 
 -476 -467 -442 
 
 -443 -384 ~3 8 
 -452 -392 -318 
 -448 -389 -312 
 
 -43' -373 -3o 
 -401 -347 -279 
 
 -223 -131 -34 
 -229 -134 -35 
 - 226 - 132 - 35 
 -218 -127 -33 
 - 203 - 118 - 31 
 
 + 65 +161 +251 
 + 66 +164 +257 
 + 65 +163 +255 
 + 63 +157 +245 
 + 59 + H5 +228 
 
 + 334 +402 +459 
 + 341 +412 +469 
 + 338 +408 +465 
 + 325 +392 +447 
 + 302 +365 +416 
 
 + 498 +522 +524 
 
 + 59 +533 +535 
 + 504 +528 +530 
 + 485 +508 +510 
 + 452 +473 +474 
 
 + 509 
 + 520 
 + 515 
 + 495 
 + 460 
 
 310 
 320 
 33O 
 34O 
 35O 
 
 -4*7 -4 l8 -397 
 -365 -358 -339 
 -292 -286 -271 
 
 - 21 I - 2O6 - 195 
 - 122 - I2O - I 13 
 
 -359 -312 -251 
 -307 -267 -214 
 -246 -213 -171 
 -'77 -153 -123 
 
 - IO2 - 89 - 72 
 
 - 181 - 106 -28 
 -156 - 91 -23 
 -125 - 73 -19 
 -90-52-13 
 -51-30-8 
 
 + 52 +131 +205 
 + 45 +112 +174 
 + 36 + 89 +140 
 + 27 + 64 +101 
 + 15 + 37 + 58 
 
 + 272 +327 +373 
 + 231 +280 +318 
 + 185 +224 +256 
 + 134 + 162 + 184 
 + 78 + 94 +107 
 
 + 405 +424 +425 
 + 346 +362 +363 
 + 277 +290 +291 
 + 200 +209 +210 
 
 +115 +121 +121 
 
 + 414 
 
 + 353 
 + 282 
 + 204 
 + 118 
 
 36O 
 37O 
 38O 
 390 
 4OO 
 
 31 - 31 - 30 
 +61+60+56 
 +151 +148 +140 
 + 237 +232 +220 
 + 3l6 +310 +293 
 
 - 27 -- 23 - 19 
 +49+44+36 
 
 + 127 +109 + 88 
 + 200 +173 +138 
 + 267 +230 +185 
 
 - 13 - 7-2 
 + 26+15 + 4 
 + 64 + 38+10 
 + 101 + 60 +16 
 
 + 134 + 79 +21 
 
 1 
 
 + 4+10 + 15 
 -7-19-29 
 -18-46-72 
 
 -29 - 73 -"3 
 -40 - 96 - 150 
 
 +20+25+28 
 
 - 39 - 47 53 
 - 96 -116 -131 
 -150 -182 -207 
 -200 -243 -276 
 
 +30+31+31 
 -58-61-61 
 -143 -150 -150 
 -227 -235 -236 
 -300 -314 -315 
 
 + 3' 
 
 " 5 2 
 - 146 
 
 -229 
 - 306 
 
 No Constant has been applied. 
 
 The unit equals o d *oooooi. 
 286 
 
 This equation applies for Occultationa only. 
 
LIX continued 
 
 SATELLITE IV 
 
 Tables of the Phenomena 
 
 Equation of the Reduction 
 
 Occupations 
 
 
 
 
 
 
 
 
 
 J 
 
 
 
 
 
 
 
 
 \ 
 
 9 d. o gd. 5 1Q d. o 
 
 1O d 5 11 d 'O 11 d 5 
 
 120125130 
 
 13 d 5 14 d O 14 d 5 
 
 15"0 15 d 5 16 d -0 
 
 16 d -5 17 d 'O 17''-5 
 
 18 d 'O 
 
 y 
 
 
 
 
 
 
 
 
 \ 
 
 
 
 
 
 
 
 
 
 
 
 
 9 
 
 
 
 
 o 
 
 - 17 - 15 - H 
 
 - 12 - 9 - 7 
 
 4 0+3 
 
 + 6 + 9+11 
 
 +13+15+17 
 
 +17+17+16 
 
 + '5 
 
 10 
 
 - 106 - 99 - 89 
 
 - 75 - 58 - 4' 
 
 -21-1+19 
 
 +39+58+74 
 
 + 88 + 98 +106 
 
 + 109 + 108 +104 
 
 + 96 
 
 20 
 
 -191 -179 -160 
 
 -135 -106 - 74 
 
 -38-1 +35 
 
 + 71 +105 +133 
 
 + 158 +177 +190 
 
 + 196 + 195 +187 
 
 + 174 
 
 30 
 
 -271 -253 -228 
 
 - 192 - 151 - 105 
 
 -54-2+50 
 
 + 101 +148 +190 
 
 + 224 +251 +271 
 
 + 279 +278 +267 
 
 + 246 
 
 40 
 
 -342 -320 -287 
 
 -243 -191 -132 
 
 -68-3+64 
 
 + 127 +187 +241 
 
 + 294 +318 +342 
 
 + 352 +350 +337 
 
 + 312 
 
 50 
 
 -410 -378 -340 
 
 - 287 -225 - 156 
 
 - 81 - 3 +75 
 
 + 150 +222 +283 
 
 + 336 +376 +44 
 
 + 416 +413 +398 
 
 + 368 
 
 60 
 
 -454 -425 -381 
 
 -322 -253 -175 
 
 - 91 - 3 +84 
 
 + 169 +249 +3l8 
 
 + 376 +422 +454 
 
 + 467 +465 +447 
 
 + 413 
 
 70 
 
 -49 -459 -4 11 
 
 -348 -274 - 190 
 
 -99-4+91 
 
 + 183 +269 +344 
 
 + 407 +455 +490 
 
 + 504 +502 +483 
 
 + 446 
 
 80 
 
 -513 -480 -430 
 
 - 364 -286 - 198 
 
 -103 - 4 +95 
 
 + 192 +281 +359 
 
 + 426 +477 +512 
 
 + 527 +525 +54 
 
 + 467 
 
 90 
 
 -520 -486 -436 
 
 -369 -290 -201 
 
 -104 - 4 +97 
 
 + 194 +285 +364 
 
 + 431 +483 +519 
 
 + 534 +532 +511 
 
 + 473 
 
 100 
 
 -511 -478 -429 
 
 -363 -285 -197 
 
 -102-4 +95 
 
 + 191 +281 +358 
 
 + 424 +475 +5 10 
 
 + 525 +522 +502 
 
 + 465 
 
 110 
 
 -487 -456 -49 
 
 -347 -272 -188 
 
 - 97 - 3 +9* 
 
 + 182 +267 +342 
 
 + 405 +453 +487 
 
 + 501 +498 +480 
 
 + 444 
 
 12O 
 
 -449 -421 -378 
 
 -318 -250 -173 
 
 -90-3+84 
 
 + 166 +246 +315 
 
 + 373 +417 +448 
 
 + 461 +460 +443 
 
 + 409 
 
 130 
 
 -399 -373 -334 
 
 - 282 - 222 - 153 
 
 -80-3+74 
 
 + 149 +218 +280 
 
 + 331 +370 +398 
 
 + 409 +408 +392 
 
 + 363 
 
 140 
 
 -335 -3'3 -281 
 
 -238 -186 -130 
 
 -67-2+62 
 
 + 124 +184 +235 
 
 + 278 +312 +335 
 
 + 345 +343 +33 
 
 + 35 
 
 150 
 
 -263 -246 -221 
 
 -186 -146 -loi 
 
 -53-2+49 
 
 + 98 + 144 + 185 
 
 + 218 +244 +262 
 
 + 271 +270 +259 
 
 + 240 
 
 160 
 
 - l82 - 171 - 153 
 
 - 129 - 102 - 71 
 
 -36-1+34 
 
 + 67 +100 +128 
 
 + 151 +169 +182 
 
 + 187 +187 +180 
 
 + 165 
 
 170 
 
 - 96 - 90 - 80 
 
 - 68 - 54 - 37 
 
 -19 o + 18 
 
 +36+52+67 
 
 +78+89+95 
 
 +98+97+94 
 
 + 87 
 
 180 
 
 -8-8-7 
 
 -6-5-4 
 
 -I + I 
 
 + 3+5+6 
 
 + 7+8+8 
 
 + 9+9+8 
 
 + 8 
 
 190 
 
 +82+76+68 
 
 + 57 + 45 + 3' 
 
 + 17 + 1 -15 
 
 - 30 - 44 - 57 
 
 -67-75 - 81 
 
 -83-83-80 
 
 - 73 
 
 200 
 
 + 168 + 157 + 141 
 
 + 119 + 93 + 65 
 
 + 34+1 -31 
 
 - 62 - 92 - 118 
 
 -139 -155 -167 
 
 -"172 -172 -165 
 
 -153 
 
 210 
 
 + 250 + 234 +210 
 
 + 178 + 140 + 97 |+ 50 + 2 -46 
 
 - 93 -137 -J75 
 
 -207 -232 -249 
 
 -257 -256 -246 
 
 -228 
 
 220 
 
 + 324 +303 +272 
 
 + 229 +181 +125 
 
 + 65 + 2-60 
 
 - 121 - 177 - 228 
 
 - 269 - 300 - 324 
 
 -333 -332 -3>9 
 
 -295 
 
 230 
 
 + 389 +362 +327 
 
 + 276 +197 +151 
 
 + 78 + 3 -73 
 
 - 145 - 214 - 273 
 
 -322 -361 -389 
 
 -400 -399 -383 
 
 -354 
 
 240 
 
 + 442 +414 +371 
 
 + 314 +246 +171 
 
 + 88 + 3-83 
 
 - 164 - 242 - 3IO 
 
 -367 -411 -442 
 
 -455 -454 -436 
 
 -402 
 
 250 
 
 + 483 +452 +405 
 
 + 342 +269 +184 
 
 + 97 + 3-9 
 
 -180 -265 -338 
 
 401 - 448 - 482 
 
 -496 -494 -475 
 
 -439 
 
 26O 
 
 + 509 +476 +427 
 
 + 361 +283 +197 
 
 + 102 + 4 -95 
 
 -190 -279 -356 
 
 -422 -473 -508 
 
 -523 -520 -500 
 
 -463 
 
 27O 
 
 + 520 +486 +436 
 
 + 369 +290 +201 
 
 + 104 + 4 -97 
 
 -194 -285 -364 
 
 -431 -483 -519 
 
 -534 -532 -5" 
 
 -473 
 
 28O 
 
 + 515 +482 +432 
 
 + 366 +286 +198 
 
 + 103 + 4 -96 
 
 - 192 - 283 - 361 
 
 -427 -479 -514 
 
 -529 -527 -506 
 
 -469 
 
 29O 
 
 + 495 +464 +416 
 
 + 351 +276 +191 
 
 + 99 + 4-92 
 
 -185 -271 -349 
 
 -411 -460 -495 
 
 -509 -507 -487 
 
 -451 
 
 3OO 
 
 + 460 +431 +386 
 
 + 326 +257 +178 
 
 + 93 + 3-86 
 
 -172 -253 -323 
 
 -383 -428 -460 
 
 -473 -471 -454 
 
 -420 
 
 31 
 
 + 414 +387 +347 
 
 + 294 +231 +159 
 
 + 83 + 3 -77 
 
 -153 -227 -290 
 
 -343 -384 -413 
 
 -425 -423 -407 
 
 -377 
 
 32O 
 33O 
 
 + 353 +33 +296 
 + 282 +264 +237 
 
 + 250 +197 +136 
 
 +200 +158 +109 
 
 + 71 + 2 -66 
 + 57 + 2 -53 
 
 - 132 - 194 - 248 
 - 1 06 - 155 - 199 
 
 -293 -328 -353 
 -235 -263 -282 
 
 -363 -361 -348 
 -290 -289 -278 
 
 -321 
 
 -258 
 
 34O 
 
 + 204 +190 +171 
 
 + 144 +114 + 79 
 
 + 41 + 1-39 
 
 - 76 - 112 - 143 
 
 - 169 - 189 - 204 
 
 - 209 - 209 - 201 
 
 -185 
 
 350 
 
 + i i 8 + i i i + 99 
 
 + 84 + 66 + 45 
 
 + 23 -22 
 
 - 44 - 65 - 83 
 
 - 98 - no - 1 18 
 
 - 121 - 121 - Il6 
 
 - 108 
 
 36O 
 
 +31+29+25 
 
 +22+17+12 
 
 + 6 0-6 
 
 12 l6 21 
 
 - 25 -- 28 - 30 
 
 -31-31-30 
 
 - 28 
 
 370 
 
 -59-55-50 
 
 -4i-33 - 23 
 
 - 12 - I + 10 
 
 + 22 + 33 + 42 
 
 +49+56+59 
 
 +61+60+58 
 
 + 53 
 
 38O 
 
 - 146 - 136 - 122 
 
 -103 - 81 - 54 
 
 - 29 -- I +27 
 
 + 54+80 +102 
 
 +121 +135 +146 
 
 + 150 +150 +144 
 
 + 132 
 
 390 
 
 - 229 - 215 - 192 
 
 - 163 - 128 - 88 
 
 - 47 -- 2 +42 
 
 + 8e +126 +161 
 
 + igO +213 + 229 
 
 + 235 +234 +226 
 
 + 209 
 
 400 
 
 -306 -286 -257 
 
 -217 - 170 - 118 
 
 - 61 - 2 +57 +114 +167 +214 
 
 + 254 +284 +305 
 
 + 314 +313 +301 
 
 + 278 
 
 No Constant has been applied. 
 
 The unit equals o d *oooooi. 
 
 This equation applies for Occultations only. 
 
LX 
 
 SATELLITE IV 
 
 Tables of the Phenomena 
 
 Equation of the Reduction 
 
 Transits 
 
 \ J 
 r\ 
 
 O d -O O d '5 1 d 'O 
 
 t d. 5 2 d. o 2 d> 5 
 
 3 d O 3 d 5 4 d O 
 
 4 d '5 5 d 'O 5 lU 5 
 
 6 d O 6 d 5 7 d 'O 
 
 7 d -5 8 d 'O 8 d< 5 
 
 9 d -O 
 
 d 
 
 
 
 
 
 
 
 
 o 
 
 - 23 - 23 -- 22 
 
 - 20 - 17 - 13 
 
 - 10 - 6-1 
 
 + 3 + 7 + u 
 
 +14+17+20 
 
 +22+23+23 
 
 + 22 
 
 10 
 20 
 
 3O 
 4O 
 5O 
 
 -'47 -H4 -'37 
 -266 -261 -247 
 
 -379 -371 -35i 
 -478 -469 -444 
 
 -S 6 5 -554 -524 
 
 - 125 - 108 -- 87 
 -224 -194 -157 
 
 -319 -276 -221 
 -402 -349 -28l 
 -476 -413 -332 
 
 - 63 - 36 -- 9 
 -113 - 67 -17 
 - 161 - 94 - 25 
 - 204 - 1 20 - 31 
 -240 -141 -37 
 
 + 18 + 45 + 71 
 + 32 + 81 +128 
 + 46 +115 + 1 8 1 
 + 58 +145 +229 
 + 70 +173 +270 
 
 + 93 +114 +129 
 + 169 +204 +232 
 + 240 +290 +330 
 + 304 +366 +417 
 + 358 +433 +493 
 
 + 140 +146 +146 
 + 252 +264 +265 
 
 + 359 +375 +377 
 + 453 +474 +476 
 + 536 +561 +563 
 
 + '43 
 
 + 257 
 + 366 
 
 + 462 
 + 547 
 
 60 
 70 
 8O 
 9O 
 1OO 
 
 -635 -623 -589 
 -685 -672 -635 
 
 -7'7 -73 -665 
 -726 -712 -673 
 -714 -700 -663 
 
 -535 -463 -372 
 - 578 - 5o -404 
 -604 -523 -421 
 -612 -530 -426 
 -602 -521 -419 
 
 -271 -158 -41 
 -292 -171 -45 
 -305 -179 -46 
 -310 -181 -47 
 -305 -178 -46 
 
 + 78 +194 +303 
 + 84 +209 +329 
 + 88 +219 +343 
 + 89 +222 +347 
 + 87 +218 +342 
 
 + 403 +486 +554 
 + 435 +525 +598 
 
 + 455 +549 +626 
 + 461 +556 +634 
 + 453 +547 +622 
 
 + 602 +630 +632 
 + 650 +680 +682 
 + 680 +711 +714 
 + 688 +720 +723 
 + 677 +708 +711 
 
 + 613 
 + 663 
 + 693 
 
 + 702 
 + 690 
 
 110 
 12O 
 13O 
 140 
 15O 
 
 -681 -668 -632 
 -629 -616 -582 
 
 -557 -546 -5'7 
 - 469 - 460 - 440 
 -368 -361 -341 
 
 -575 -497 -4 
 -530 -458 -369 
 -470 -406 -327 
 
 -395 ~34 2 ~ 2 75 
 -310 -269 -216 
 
 - 290 - 171 44 
 -269 -157 -40 
 -237 -139 -36 
 -199 -117 -30 
 -157 - 92 -23 
 
 + 83 +208 +326 
 + 76 + 192 + 301 
 + 67 +169 +266 
 + 57 +H3 +224 
 
 + 46 +112 +176 
 
 + 433 +52' +595 
 + 399 +481 +548 
 + 354 +426 +486 
 + 297 +359 +409 
 + 234 +282 +320 
 
 + 646 +675 +678 
 + 596 +623 +626 
 + 528 +552 +555 
 
 + 445 +4 6 5 +4 6 7 
 + 348 +365 +367 
 
 + 659 
 + 607 
 + 538 
 + 453 
 + 35<5 
 
 16O 
 17O 
 ISO 
 190 
 200 
 
 -254 -249 -236 
 -134 -131 -124 
 
 - II - II - IO 
 
 + 113 +iii +105 
 + 234 +230 +217 
 
 - 215 - 1 86 - 149 
 -ii2 - 97 - 78 
 
 - 9 - 8 - 7 
 +94+83+66 
 + 198 +171 +138 
 
 - 108 -- 64 -18 
 
 57 - 34 - 9 
 - 6 - 3-1 
 + 48 + 28 + 7 
 + 100 + 59+15 
 
 + 31 + 77 +121 
 + 17 + 40 + 63 
 + i + 3 + 5 
 -'4-35-54 
 
 -29 - 72 - 112 
 
 + l6l +195 +222 
 + 85 +103 +117 
 
 + 7+9+9 
 - 72 - 87 - 99 
 
 - 149 - 1 80 204 
 
 + 242 +252 +253 
 + 126 + 133 + 133 
 
 + 10 + II + II 
 
 - 107 - 112 - 113 
 
 -222 -232 -234 
 
 + 246 
 + 130 
 + u 
 - no 
 
 -227 
 
 21 
 22O 
 23O 
 
 240 
 25O 
 
 + 349 +342 +323 
 + 453 +443 +42 
 + 544 +533 +54 
 + 617 +605 +573 
 + 674 +661 +625 
 
 + 295 +255 +205 
 + 382 +330 +266 
 + 458 +397 +319 
 + 520 +451 +363 
 + 568 +492 +397 
 
 + 149 + 87 +22 
 
 + 193 +114 +30 
 + 232 +136 +36 
 + 263 +154 +40 
 + 287 +169 +44 
 
 -43 -107 -167 
 - 55 - 138 - 216 
 -67 - 1 66 - 260 
 -76 -189 -296 
 -83 -206 -322 
 
 -222 -267 -305 
 
 -288 -347 -395 
 -345 -417 -475 
 
 -392 -473 -539 
 -428 -517 -588 
 
 -331 -346 -348 
 
 -429 -449 -451 
 
 -5'5 -539 -542 
 -586 -612 -615 
 -639 -669 -671 
 
 -338 
 -438 
 
 - 526 
 
 -598 
 -652 
 
 26O 
 270 
 28O 
 290 
 300 
 
 + 710 +696 +659 
 + 726 +712 +673 
 + 719 +704 +667 
 + 692 +678 +642 
 + 644 +631 +597 
 
 + 599 +5'9 + 4'7 
 + 612 +530 +426 
 
 + 606 +525 +423 
 + 583 +505 +406 
 + 542 +470 +379 
 
 + 303 +178 +46 
 + 310 +181 +47 
 + 307 +179 +46 
 
 + 295 + '74 +45 
 + 275 +161 +41 
 
 -87 -217 -34 
 -89 -222 -347 
 -88 -219 -344 
 
 - 84 - 211 - 331 
 
 -79 -'97 -38 
 
 -45' -545 -620 
 -461 -556 -634 
 -457 -55' -628 
 -439 -53 -603 
 -409 -493 -561 
 
 -674 -704 -707 
 -688 -720 -723 
 -682 -713 -716 
 -656 -686 -689 
 -610 -638 -641 
 
 -686 
 -702 
 -695 
 - 670 
 -623 
 
 31 
 320 
 33O 
 340 
 35O 
 
 + 577 +5<56 +536 
 + 493 +482 +457 
 + 395 +387 +367 
 + 285 +279 +264 
 + 166 +162 +154 
 
 + 486 +421 +339 
 + 416 +360 +290 
 + 333 +288 +233 
 + 240 +208 +167 
 + 139 +120 + 97 
 
 + 247 +144 +37 
 + 210 +123 +31 
 + 169 + 99 +25 
 + 121 +71 + 18 
 + 70 + 41+11 
 
 -73 -176 -276 
 -61 - 151 - 236 
 -49 - 1 20 - 189 
 -35 - 86 -136 
 
 -20 - 50 - 78 
 
 -366 -442 -504 
 
 -3'3 -378 -430 
 -251 -302 -344 
 - 181 -218 -248 
 - 106 - 126 - 144 
 
 -547 -572 -575 
 -467 -489 -491 
 
 -375 -39' -393 
 - 270 282 284 
 -157 -165 -165 
 
 -558 
 
 -477 
 -382 
 - 276 
 - 1 60 
 
 360 
 37O 
 380 
 390 
 
 400 
 
 +43+43+41 
 - 82 - 80 - 78 
 - 204 - 200 - 189 
 -320 -314 -297 
 -427 -418 -396 
 
 +36+31+25 
 
 - 70 - 60 - 48 
 
 - 172 - 149 - I2O 
 
 - 270 - 234 - 188 
 -360 -312 -252 
 
 + 18 + 11 + 3 
 - 36 - 20 - 5 
 
 -87-51-13 
 
 -135 - 77 -20 
 -183 -107 -28 
 
 - 6 - 13 -- 20 
 
 + 10 + 25 + 39 
 + 25 + 62 + 98 
 
 + 39 + 97 +'53 
 + 52 +130 +204 
 
 - 28 - 32 - 38 
 +52+63+72 
 + 130 +156 +177 
 + 203 +245 +279 
 + 272 +327 +373 
 
 - 41 - 43 -- 43 
 +78+81+82 
 + 193 +202 +202 
 + 303 +317 +319 
 + 405 +424 +425 
 
 - 4' 
 + 79 
 + '97 
 + 310 
 
 + 4'3 
 
 No Constant has been applied. 
 
 The unit equals o d 'ooooot. 
 288 
 
 This Equation applies for Transits only. 
 
LX continued 
 
 SATELLITE IV 
 
 Tables of the Phenomena 
 
 Equation of the Reduction 
 
 Transits 
 
 \J 
 r\ 
 
 9 d O 9 d 5 10 d O 
 
 10 d 5 11 d O 11 d -5 
 
 120125130 
 
 13 d '5 14 d O 14 d 5 
 
 15 d X> 15 d '5 16 d 'O 
 
 16 d 5 17 d O 17 d '5 
 
 18' 
 
 d 
 
 
 
 
 
 
 
 
 
 
 +22+20+19 
 
 + 16 + 12 + 9 
 
 + 4 0-4 
 
 - 8-12-15 
 
 -18-20-22 
 
 -23-23-22 
 
 - 20 
 
 10 
 
 +143 +133 +120 
 
 + 102 + 79 + 53 
 
 + 28 + i - 27 
 
 54 - 78 - 100 
 
 - 1 18 - 132 - 143 
 
 - 146 - 146 - 140 
 
 -130 
 
 20 
 
 + 257 +241 +216 
 
 + 183 +143 + 99 
 
 + 51 + 2 - 48 
 
 - 96 - 142 - 181 
 
 -213 -239 -257 
 
 -265 -264 -254 
 
 -235 
 
 3O 
 
 + 366 +342 +307 
 
 + 260 + 204 + 142 
 
 + 74+3-70 
 
 - 136 - 200 - 256 
 
 -304 -340 -365 
 
 -376 -375 -36 
 
 -334 
 
 40 
 
 + 462 +433 +388 
 
 + 328 +258 +179 
 
 + 93+3-85 
 
 -172 -253 -325 
 
 -383 -430 -461 
 
 -475 -473 -456 
 
 -422 
 
 5O 
 
 + 547 +512 +459 
 
 + 389 +305 +211 
 
 + 110+ 4 - 102 
 
 -204 -300 -383 
 
 -453 -508 -546 
 
 -562 -560 -538 
 
 -498 
 
 6O 
 
 + 613 +574 +516 
 
 + 437 +342 +237 
 
 + 123 + 4 - 114 
 
 -228 -337 -433 
 
 -509 -571 -613 
 
 -632 -629 -604 
 
 -559 
 
 7O 
 
 + 663 +619 +557 
 
 + 471 +370 +2'56 
 
 + 133 + 4 -123 
 
 - 247 - 364 - 464 
 
 - 550 - 616 - 662 
 
 -682 -679 -652 
 
 -605 
 
 SO 
 
 + 693 +639 +583 
 
 + 492 +386 +268 
 
 + 139 + 5 -129 
 
 -258 -380 -486 
 
 -575 -646 -692 
 
 -714 -710 -682 
 
 -632 
 
 90 
 
 + 702 +657 +590 
 
 + 499 +392 +271 
 
 + 141 + 5 - 131 
 
 - 262 - 385 492 
 
 -583 -653 -701 
 
 -722 -719 -691 
 
 - 640 
 
 too 
 
 + 690 +647 +580 
 
 + 491 +385 +267 
 
 + 138 + 4 - 129 
 
 -258 -379 -484 
 
 -573 -642 -690 
 
 -711 -707 -680 
 
 - 630 
 
 110 
 
 + 659 +616 +554 
 
 + 468 +368 +255 
 
 + 133 + 4-123 
 
 -246 -362 -462 
 
 - 546 - 613 -658 
 
 -678 -675 -649 
 
 -601 
 
 12O 
 
 + 607 +568 +511 
 
 + 432 +339 +235 
 
 + 122 + 4-H3 
 
 -226 -333 -426 
 
 -504 -565 -606 
 
 -626 -622 -598 
 
 -554 
 
 130 
 
 + 538 +503 +453 
 
 + 383 +300 +207 
 
 + 108 + 3 - loo 
 
 -200 -294 -376 
 
 -445 -499 -537 
 
 -554 -552 -53 
 
 -491 
 
 140 
 
 + 453 +424 +381 
 
 + 322 +254 +174 
 
 + 92+2-85 
 
 - 169 - 247 - 318 
 
 -376 -424 -453 
 
 -466 464 -446 
 
 -4'3 
 
 15O 
 
 + 356 +332 +299 
 
 + 253 +199 +138 
 
 + 71 + 2 - 66 
 
 -133 -195 -25 
 
 -294 -331 -355 
 
 - 366 - 365 - 350 
 
 -324 
 
 16O 
 
 + 246 +230 +207 
 
 + 175 +136 + 95 
 
 + 50+1-45 
 
 - 92 -135 -172 
 
 - 204 229 - 246 
 
 -253 -252 -243 
 
 -224 
 
 17O 
 
 + 130 +120 + 108 
 
 +91+72+50 
 
 + 26+1-24 
 
 - 49 - 7i - 9 1 
 
 - 108 - 121 - 129 
 
 -133 -i33 -128 
 
 - 118 
 
 18O 
 
 + ii + 10 + 9 
 
 + 8+6+4 
 
 + 2 0-2 
 
 -4-6-8 
 
 - 9 - 10 - 1 1 
 
 - ii - ii - ii 
 
 - 10 
 
 190 
 
 - 1 10 - 103 -- 92 
 
 -78-61-43 
 
 - 22 I + 2O 
 
 +40+60+76 
 
 + 91 +102 +109 
 
 + 113 +112 +107 
 
 + IOO 
 
 2OO 
 
 - 227 - 212 - igO 
 
 - 161 - 126 - 87 
 
 -45-2+42 
 
 + 84 +125 +159 
 
 + 187 +210 +226 
 
 + 233 +232 +223 
 
 + 207 
 
 210 
 
 -338 - 3 l6 -284 
 
 - 240 - 1 88 - 130 
 
 -67-3+63 
 
 + 126 +185 +237 
 
 + 280 +315 +337 
 
 + 347 +346 +333 
 
 + 308 
 
 22O 
 
 -438 -410 -367 
 
 -311 -245 -170 
 
 -88-3+Sl 
 
 + 163 +240 +307 
 
 + 363 +408 +437 
 
 + 45 +447 +43i 
 
 + 399 
 
 23O 
 
 -526 -492 -442 
 
 -374 ~ Z 94 - 2 3 
 
 - 106 -4+98 
 
 + 196 +288 +369 
 
 + 436 +489 +525 
 
 + 54' +539 +5 l8 
 
 + 479 
 
 24O 
 
 -598 -559 -502 
 
 -4 2 5 -333 -*3i 
 
 - 120 - 4 + III 
 
 + 223 +328 +419 
 
 + 494 +556 +597 
 
 + 614 +611 +588 
 
 + 544 
 
 250 
 
 -652 -610 -547 
 
 -464 -364 -252 
 
 - 131 - 4 + 121 
 
 + 244 +357 +457 
 
 + 541 +606 +651 
 
 + 671 +668 +642 
 
 + 594 
 
 260 
 
 -686 -642 -578 
 
 -489 -383 -265 
 
 - 138 - 4 +129 
 
 + S7 +377 +482 
 
 + 571 +639 +686 
 
 + 707 +703 +676 
 
 + 626 
 
 270 
 
 -702 -657 -590 
 
 -499 -392 -271 
 
 -141 - 5 +131 
 
 + 262 +385 +492 
 
 + 583 +653 +701 
 
 + 723 +719 +691 
 
 + 640 
 
 28O 
 
 -695 -650 -585 
 
 -494 -388 -268 
 
 -139 - 5 +129 
 
 + 260 +382 +487 
 
 + 577 +647 +694 
 
 + 716 +712 +684 
 
 + 633 
 
 290 
 
 -670 -625 -562 
 
 -475 -373 -258 
 
 -135 - 4 +125 
 
 + 249 +366 +469 
 
 + 555 + 6z 3 + 668 
 
 + 689 +686 +659 
 
 + 609 
 
 300 
 
 -623 -583 -523 
 
 -443 -347 -24 
 
 -125- 4+116 
 
 + 233 +34i +437 
 
 + 517 +580 +622 
 
 + 641 +638 +613 
 
 + 568 
 
 310 
 
 -558 -522 -469 
 
 -397 ~3 12 -216 
 
 -112- 3+104 
 
 + 208 +306 +391 
 
 + 464 +520 +557 
 
 + 574 +572 +55 
 
 + 509 
 
 32O 
 
 -477 -446 -400 
 
 - 339 - 266 - 184 
 
 -95-2+89 
 
 + 178 +261 +334 
 
 + 396 +443 +476 
 
 + 491 +489 +469 
 
 + 435 
 
 330 
 
 -382 -358 -321 
 
 -271 -213 -147 
 
 -76-3+71 
 
 + 143 +210 +268 
 
 + 317 +356 +381 
 
 + 393 +39 1 +376 
 
 + 348 
 
 34O 
 
 -276 -258 -232 
 
 - 196 - 154 - 107 
 
 -56-2+51 
 
 + 103 +151 +193 
 
 + 228 +257 +275 
 
 + 283 +282 +272 
 
 + 251 
 
 350 
 
 - 160 - 150 - 134 
 
 -113 - 89 - 62 
 
 -32-1+30 
 
 + 59 + 88 +113 
 
 + 133 +149 +159 
 
 + 165 +164 +158 
 
 + 146 
 
 360 
 
 - 4i -- 38 - 35 
 
 -29-23-16 
 
 - 9 - i + 8 
 
 +16+23+29 
 
 +34+38+42 
 
 +43+43+4' 
 
 + 38 
 
 37O 
 
 +79+74+67 
 
 +57+44+31 
 
 + 16 0-15 
 
 -3-43-55 
 
 -66-73-79 
 
 -81-81-79 
 
 - 72 
 
 380 
 
 + 197 +185 +165 
 
 + 140 +110 + 76 
 
 + 39+1-36 
 
 - 74 -108 -139 
 
 - 164 -183 -197 
 
 - 203 - 202 194 
 
 - 1 80 
 
 39O 
 
 + 310 +290 +261 
 
 + 220 +172 +119 
 
 + 62 + 2 - 57 
 
 - 115 - 170 - 217 
 
 -257 -288 -308 
 
 -318 -317 -305 
 
 -282 
 
 4OO 
 
 + 413 +386 +347 
 
 + 294 +230 + 160 
 
 + 83+3-77 
 
 - 154 - 226 - 289 
 
 -343 -384 -412 
 
 -425 -423 -406 
 
 -377 
 
 No Constant has been applied. 
 
 The unit equals o d *oooooi. 
 
 This Equation applies for Transits only. 
 
 37 
 
LXI 
 
 SATELLITE IV 
 
 Tables of the Phenomena 
 
 Corrections for Phase 
 
 I 
 
 2 
 
 3 
 
 4 
 
 5 
 
 Correcting 
 
 
 
 Correcting 
 
 
 Factor 
 for Semi- 
 
 A 
 
 P 
 
 Factor 
 for Reduc- 
 
 A 
 
 duration. 
 
 
 
 tion. 
 
 
 ooooo 
 
 o 
 
 d 
 000 
 
 'OOOO 
 
 o 
 
 i 
 
 i 
 
 01 
 
 o 
 
 o 
 
 3 
 
 3 
 
 02 
 
 - i 
 
 o 
 
 6 
 
 4 
 
 03 
 
 i 
 
 - I 
 
 ii 
 
 6 
 
 04 
 
 2 
 
 2 
 
 7 
 
 7 
 
 05 
 
 4 
 
 2 
 
 - -00045 
 
 - 9 
 
 006 
 
 -0005 
 
 - 2 
 
 34 
 
 10 
 
 O7 
 
 7 
 
 2 
 
 45 
 
 12 
 
 08 
 
 9 
 
 2 
 
 57 
 
 '3 
 
 O9 
 
 ii 
 
 3 
 
 70 
 
 '4 
 
 1O 
 
 H 
 
 3 
 
 - '00085 
 
 - 16 
 
 0-11 
 
 - -0017 
 
 - 3 
 
 101 
 
 17 
 
 12 
 
 20 
 
 4 
 
 119 
 
 19 
 
 13 
 
 24 
 
 4 
 
 138 
 
 20 
 
 14 
 
 28 
 
 4 
 
 158 
 
 21 
 
 15 
 
 32 
 
 4 
 
 - -00180 
 
 - *3 
 
 016 
 
 -0036 
 
 - 5 
 
 203 
 
 *4 
 
 17 
 
 4 1 
 
 5 
 
 228 
 
 26 
 
 18 
 
 46 
 
 5 
 
 2 54 
 
 27 
 
 .19 
 
 5i 
 
 6 
 
 281 
 
 28 
 
 20 
 
 57 
 
 6 
 
 - -00310 
 
 - 3 
 
 021 
 
 - -0062 
 
 - 6 
 
 34i 
 
 32 
 
 22 
 
 68 
 
 7 
 
 373 
 
 33 
 
 23 
 
 75 
 
 7 
 
 406 
 
 34 
 
 24 
 
 82 
 
 7 
 
 44 
 
 35 
 
 25 
 
 88 
 
 7 
 
 - -00476 
 
 - 37 
 
 026 
 
 - -0096 
 
 - 8 
 
 513 
 
 38 
 
 27 
 
 103 
 
 8 
 
 55* 
 
 40 
 
 28 
 
 in 
 
 8 
 
 592 
 
 4i 
 
 29 
 
 119 
 
 9 
 
 - -00633 
 
 - 42 
 
 030 
 
 - -0128 
 
 - 9 
 
 Sh., Tr. 
 
 i 
 
 1 
 
 3 
 
 4 
 
 5 
 
 Correcting 
 
 
 
 Correct 
 
 
 Factor 
 for Semi- 
 
 A 
 
 P 
 
 ing Factor 
 for Reduc- 
 
 A 
 
 duration. 
 
 
 
 tion. 
 
 
 - -00633 
 
 - 42 
 
 d 
 030 
 
 - -0128 
 
 - 9 
 
 676 
 
 44 
 
 31 
 
 136 
 
 9 
 
 721 
 
 46 
 
 32 
 
 H5 
 
 10 
 
 767 
 
 47 
 
 33 
 
 '55 
 
 10 
 
 814 
 
 48 
 
 34 
 
 165 
 
 10 
 
 862 
 
 49 
 
 35 
 
 74 
 
 10 
 
 - -00911 
 
 - 50 
 
 036 
 
 - -0185 
 
 IO 
 
 0962 
 
 52 
 
 37 
 
 '95 
 
 II 
 
 1015 
 
 54 
 
 38 
 
 206 
 
 II 
 
 1069 
 
 55 
 
 39 
 
 217 
 
 12 
 
 1125 
 
 57 
 
 40 
 
 229 
 
 12 
 
 - -01182 
 
 - 58 
 
 0-41 
 
 - -0240 
 
 - 12 
 
 1240 
 
 59 
 
 42 
 
 252 
 
 '3 
 
 1300 
 
 61 
 
 43 
 
 265 
 
 13 
 
 1361 
 
 62 
 
 44 
 
 277 
 
 13 
 
 1423 
 
 63 
 
 45 
 
 290 
 
 >3 
 
 - '01487 
 
 - 65 
 
 046 
 
 - -0303 
 
 - H 
 
 1552 
 
 66 
 
 47 
 
 3i7 
 
 H 
 
 1618 
 
 67 
 
 48 
 
 33i 
 
 4 
 
 1686 
 
 69 
 
 49 
 
 345 
 
 15 
 
 '755 
 
 7i 
 
 50 
 
 360 
 
 '5 
 
 - -01827 
 
 - 72 
 
 051 
 
 - '0375 
 
 - 15 
 
 1899 
 
 73 
 
 52 
 
 39 
 
 16 
 
 1972 
 
 74 
 
 53 
 
 406 
 
 16 
 
 2046 
 
 75 
 
 54 
 
 422 
 
 16 
 
 2122 
 
 77 
 
 55 
 
 438 
 
 16 
 
 - 'O22OO 
 
 - 79 
 
 O-56 
 
 - -0454 
 
 - '7 
 
 2280 
 
 80 
 
 57 
 
 47i 
 
 '7 
 
 2360 
 
 81 
 
 58 
 
 488 
 
 18 
 
 2442 
 
 82 
 
 59 
 
 506 
 
 18 
 
 - -02524 
 
 - 82 
 
 060 
 
 - '0524 
 
 - 18 
 
 The Argument is the Annual Parallax, p, as computed from the Approximate Tables IV, V, VI. 
 
 Columns i, 4 give factors which must be multiplied respectively into the Semidnration as taken from Tables X1II-LI, and the Reduction as taken from Tables LII-LX, 
 and the products taken as further corrections of these quantities. 
 
 When p is positive, these corrections apply to Ingrees for the Shadow and Egress for the Transit of Disc ; when p is negative, they apply to Egress for the Shadow and 
 Imjrett for the Transit of Disc. 
 
 290 
 
LXII 
 
 SATELLITE IV 
 
 Tables of the Phenomena 
 
 Light-Curves in Eclipse 
 
 \Lat. 
 
 (*)X 
 
 1 50 
 
 200 210 220 230 2*0 245 2-46 247 248 249 
 
 1 00 090 080 070 O 60 O 55 O 54 O 53 O 52 O 51 
 
 Lat. / 
 /(*), 
 
 -20 
 
 m 
 O'OI 
 
 m in m ui m 
 O'OI O'OI O'OI O'OI O'OO 
 
 m m m m m 
 O'OO O'OO O'OO O'OO O'OO 
 
 -2-0 
 
 1-8 
 
 0'O2 
 
 O'O2 O'O2 O'O2 O'O2 O'OI 
 
 O'OO O'OO O'OO O'OO O'OO 
 
 18 
 
 1-6 
 
 0'O4 
 
 0-04 o - o4 0-04 o'O4 0-03 
 
 O'OI O'OO O'OO O'OO O'OO 
 
 16 
 
 1-4 
 
 0-07 
 
 0-07 o'07 0-07 0-07 0-06 
 
 0-03 0'03 0'02 O'OI O'OO 
 
 1'4 
 
 1'2 
 
 O'I2 
 
 0'12 O'I2 O'I2 O-I2 O'lO O'O8 O'O7 O'o6 O'O3 O'OI 
 
 1'2 
 
 -1-O 
 
 O-I/ 
 
 0-17 0-17 0-17 o'i7 O'i6 0-14 o'i3 0-12 o'io 0-04 
 
 -TO 
 
 08 
 
 0-2 S 
 
 O'25 0'25 0-25 0-25 0'24 0'22 O'2I O'2O O'I7 O'I2 
 
 08 
 
 06 
 
 0'35 
 
 '35 '35 '35 '35 - 34 '33 '3 Z '3' '3 ' 2 5 
 
 06 
 
 0-4 
 
 0^46 
 
 0-46 0-46 0-46 0-46 0-46 0-45 0-45 o'44 0-43 0-41 
 
 04 
 
 -02 
 
 o - 6o 
 
 O'6o o'6o o'6o o'6o o - 6o 
 
 o'6o o'6o o'6o 0-59 0-59 
 
 -O2 
 
 00 
 
 0-75 
 
 075 075 075 075 075 
 
 075 075 075 075 0-75 
 
 00 
 
 + 02 
 
 0-94 
 
 0-94 0-94 0-94 0-94 0-94 
 
 0-94 o'94 0-94 0^94 0-93 
 
 + 02 
 
 04 
 
 1-16 
 
 ri6 ri6 1-16 ri6 no 
 
 i'i4 i'i3 iM2 fio 1-06 
 
 04 
 
 06 
 
 1-42 
 
 1-40 1-40 1-40 1-40 1-38 
 
 1-35 1-34 1-32 1-26 1-15 
 
 06 
 
 08 
 
 1-72 
 
 170 170 170 i'68 1-64 i';8 1-56 i'5i i'42 1-17 
 
 08 
 
 + 10 
 
 2-07 
 
 2-03 2-03 2-03 2-00 i '95 
 
 1-86 i'8o 172 1-55 1-17 
 
 + 10 
 
 1-2 
 
 2-48 
 
 2-42 2'4O 2-38 2-36 2'29 
 
 2-13 2 - o3 1-90 r66 i-io 
 
 1-2 
 
 1-4 
 
 2-97 
 
 2-86 2-84 2-82 2-80 2-68 
 
 2-39 2-26 2*07 1-74 0-98 
 
 14 
 
 1-6 
 
 3-60 
 
 3'45 3'43 3'4 3-32 3'" 
 
 2'68 2-50 2'25 179 0-83 
 
 16 
 
 1-8 
 
 4-31 
 
 4-12 4-08 4-05 3-91 3-60 
 
 2-99 272 2-35 1-78 0-67 
 
 18 
 
 + 2O 
 
 S'45 
 
 4'95 4'88 477 4'6o 4-12 
 
 3'3I 2'g2 2'42 174 0^48 
 
 + 2O 
 
 This table gives for 
 any latitude the rise 
 of magnitude of the 
 Satellite's disc, in cor- 
 respondence with a 
 Co-ordinate (fc) . (fcX> 
 is proportional to the 
 time, and when the 
 latitude is zero (/:),, 
 measures the fraction 
 or multiple of the 
 Sun's radius which is 
 cut off by the rim of 
 Jupiter as seen from 
 the centre of the 
 Satellite's disc. 
 
 LXIII 
 
 Mean Motion in Light-Curve 
 
 i 
 
 2 
 
 3 
 
 i 
 
 i 
 
 2 
 
 i 
 
 i 
 
 2 
 
 i 
 
 Lat. 
 
 A(A) peri 8 
 
 A 
 
 Lat. 
 
 Lat. 
 
 A^pen 8 
 
 Lat. 
 
 Lat. 
 
 A(A) pen 
 
 Lat. 
 
 050 
 
 ooooo 
 
 ... 
 
 250 
 
 70 
 
 00280 
 
 230 
 
 1 10 
 
 00441 
 
 1 90 
 
 51 
 
 64 
 
 46 
 
 249 
 
 72 
 
 292 
 
 228 
 
 12 
 
 445 
 
 88 
 
 52 
 
 9 1 
 
 24 
 
 2'48 
 
 74 
 
 34 
 
 226 
 
 14 
 
 449 
 
 86 
 
 53 
 
 in 
 
 19 
 
 247 
 
 76 
 
 315 
 
 2-24 
 
 16 
 
 453 
 
 84 
 
 54 
 
 129 
 
 16 
 
 2-46 
 
 78 
 
 326 
 
 222 
 
 18 
 
 457 
 
 82 
 
 '55 
 
 '43 
 
 H 
 
 245 
 
 80 
 
 336 
 
 220 
 
 20 
 
 460 
 
 so 
 
 56 
 
 00156 
 
 13 
 
 2-44 
 
 0-82 
 
 00345 
 
 2 18 
 
 22 
 
 00463 
 
 78 
 
 '57 
 
 168 
 
 12 
 
 2-43 
 
 84 
 
 354 
 
 216 
 
 24 
 
 466 
 
 76 
 
 58 
 
 1 80 
 
 I I 
 
 242 
 
 86 
 
 363 
 
 2-14 
 
 26 
 
 469 
 
 74 
 
 59 
 
 190 
 
 10 
 
 241 
 
 88 
 
 372 
 
 212 
 
 28 
 
 472 
 
 72 
 
 60 
 
 200 
 
 IO 
 
 240 
 
 9O 
 
 380 
 
 2'10 
 
 3O 
 
 474 
 
 7O 
 
 61 
 
 00210 
 
 10 
 
 239 
 
 0'92 
 
 00388 
 
 208 
 
 32 
 
 00476 
 
 68 
 
 62 
 
 219 
 
 9 
 
 2-38 
 
 94 
 
 395 
 
 2 06 
 
 34 
 
 478 
 
 66 
 
 63 
 
 228 
 
 9 
 
 237 
 
 96 
 
 402 
 
 204 
 
 36 
 
 480 
 
 '64 
 
 64 
 
 236 
 
 8 
 
 2-36 
 
 98 
 
 408 
 
 202 
 
 38 
 
 481 
 
 62 
 
 65 
 
 244 
 
 8 
 
 2'35 
 
 1 00 
 
 414 
 
 2 00 
 
 40 
 
 482 
 
 60 
 
 66 
 
 00252 
 
 8 
 
 2-34 
 
 02 
 
 00420 
 
 1-98 
 
 42 
 
 00483 
 
 58 
 
 '67 
 
 259 
 
 7 
 
 233 
 
 O4 
 
 4*5 
 
 1-96 
 
 44 
 
 484 
 
 56 
 
 68 
 
 266 
 
 7 
 
 232 
 
 OB 
 
 43 
 
 1-94 
 
 1'46 
 
 485 
 
 54 
 
 69 
 
 273 
 
 7 
 
 231 
 
 08 
 
 435 
 
 1-92 
 
 1 48 
 
 485 
 
 52 
 
 70 
 
 00280 
 
 7 
 
 230 
 
 1O 
 
 00441 
 
 1'90 
 
 1-50 
 
 00486 
 
 50 
 
 LXIV 
 Equation of Motion 
 
 \Var. 
 
 
 
 
 Var./ 
 
 \ 
 
 - 02 - 'O1 
 
 00 
 
 + 01 + 'O2 
 
 / 
 
 Lat\ 
 
 
 
 
 /Lat. 
 
 1 50 
 
 + 5 + 2 
 
 O 
 
 -2-5 
 
 1 50 
 
 200 
 
 6 3 
 
 o 
 
 3 6 
 
 1 00 
 
 210 
 
 6 3 
 
 O 
 
 3 6 
 
 090 
 
 2 '2O 
 
 7 3 
 
 o 
 
 3 7 
 
 080 
 
 230 
 
 8 4 
 
 o 
 
 4 8 
 
 O70 
 
 240 
 
 ii 5 
 
 o 
 
 5 ii 
 
 060 
 
 245 
 
 + 15 + 7 
 
 o 
 
 - 7 -'5 
 
 055 
 
 246 
 
 17 8 
 
 o 
 
 8 17 
 
 054 
 
 247 
 
 19 10 
 
 o 
 
 10 19 
 
 053 
 
 2'48 
 
 24 12 
 
 
 
 12 24 
 
 052 
 
 2'49 
 
 + 34 +17 
 
 o 
 
 -17 -34 
 
 051 
 
 The Equation of this Table to be taken as a correction to 
 that of Table LXII. The unit equals -ooooi. 
 
 - . 
 
 Equation of Table LXIV, and then the sign attached : viz., + for disappearance, - for reappearance. 
 
 291 
 
AUXILIARY TABLES 
 
 of 
 
 Jupiter's Orbit, 
 The Equation of Light, 
 
 and 
 
 Conversions to the Decimal System 
 
Node of Jupiter's Orbit 
 
 Year 
 
 Ascending 
 Node 
 
 A 
 
 Itif 
 
 185O 
 
 O ' 
 
 98 56-1 
 
 f 
 
 6-1 
 
 6O 
 
 99 2-2 
 
 6-1 
 
 70 
 
 8-3 
 
 6-1 
 
 8O 
 
 14-4 
 
 6-2 
 
 9O 
 
 2O'6 
 
 6-2 
 
 19OO 
 
 267 
 
 6-1 
 
 10 
 
 32-8 
 
 6-1 
 
 2O 
 
 38-9 
 
 6-2 
 
 3O 
 
 45'i 
 
 6-2 
 
 4O 
 
 51-2 
 
 6-1 
 
 5O 
 
 99 57'3 
 
 6-1 
 
 6O 
 
 100 3-4 
 
 6-2 
 
 7O 
 
 9-6 
 
 6-2 
 
 80 
 
 '57 
 
 6'! 
 
 9O 
 
 21-8 
 
 6-1 
 
 2OOO 
 
 100 27 - 9 
 
 6-1 
 
 This Table shows the longitude of 
 the ascending Node of Jupiter's Orbit 
 upon the mean ecliptic of date. 
 
 AUXILIARY TABLES 
 
 ci 
 
 Reduction from Ecliptic to Jupiter's Orbit 
 
 Ecliptic Longitude Node 
 
 Reduction 
 1900 
 
 A 
 
 10' 
 
 Variation 
 per ioo f 
 
 Ecliptic Longitude Node 
 
 
 
 
 
 o 
 
 O 
 
 w 
 
 
 
 
 
 O 
 
 O 
 
 
 
 o 
 
 90 
 
 18O 
 
 27O 
 
 O'O 
 
 16 
 
 O'O 
 
 9O 
 
 180 
 
 270 
 
 360 
 
 2 
 
 88 
 
 182 
 
 268 
 
 + 1-9 - 
 
 16 
 
 O'O 
 
 92 
 
 178 
 
 272 
 
 358 
 
 4 
 
 86 
 
 184 
 
 266 
 
 3-8 
 
 16 
 
 O'O 
 
 94 
 
 176 
 
 274 
 
 356 
 
 6 
 
 84 
 
 186 
 
 264 
 
 5-6 
 
 i5 
 
 - o- + 
 
 96 
 
 174 
 
 276 
 
 354 
 
 8 
 
 82 
 
 188 
 
 262 
 
 7'4 
 
 15 
 
 O' 
 
 98 
 
 172 
 
 278 
 
 352 
 
 10 
 
 80 
 
 19O 
 
 26O 
 
 9-2 
 
 '5 
 
 O' 
 
 1OO 
 
 17O 
 
 28O 
 
 350 
 
 12 
 
 78 
 
 192 
 
 258 
 
 iro 
 
 '4 
 
 O' 
 
 1O2 
 
 168 
 
 282 
 
 348 
 
 14 
 
 76 
 
 194 
 
 256 
 
 12-6 
 
 '4 
 
 O' 
 
 1O4 
 
 166 
 
 284 
 
 346 
 
 16 
 
 74 
 
 196 
 
 254 
 
 H'3 
 
 13 
 
 o- 
 
 106 
 
 164 
 
 286 
 
 344 
 
 18 
 
 72 
 
 198 
 
 252 
 
 15-8 
 
 '3 
 
 O' 
 
 108 
 
 162 
 
 288 
 
 342 
 
 20 
 
 7O 
 
 20O 
 
 250 
 
 7'J 
 
 '12 
 
 0'2 
 
 110 
 
 160 
 
 290 
 
 340 
 
 22 
 
 68 
 
 2O2 
 
 248 
 
 187 
 
 II 
 
 O - 2 
 
 112 
 
 158 
 
 292 
 
 338 
 
 24 
 
 66 
 
 204 
 
 246 
 
 2O'O 
 
 'I I 
 
 O'2 
 
 114 
 
 156 
 
 294 
 
 336 
 
 26 
 
 64 
 
 206 
 
 244 
 
 21'2 
 
 10 
 
 O'2 
 
 116 
 
 154 
 
 296 
 
 334 
 
 28 
 
 62 
 
 2O8 
 
 242 
 
 22'3 
 
 9 
 
 O'2 
 
 118 
 
 152 
 
 298 
 
 332 
 
 3O 
 
 6O 
 
 21O 
 
 240 
 
 *3'3 
 
 08 
 
 O'2 
 
 12O 
 
 15O 
 
 30O 
 
 33O 
 
 32 
 
 58 
 
 212 
 
 238 
 
 24-2 
 
 07 
 
 O'2 
 
 122 
 
 148 
 
 302 
 
 328 
 
 34 
 
 56 
 
 214 
 
 236 
 
 25-0 
 
 06 
 
 O'2 
 
 124 
 
 146 
 
 3O4 
 
 326 
 
 36 
 
 54 
 
 216 
 
 234 
 
 25-6 
 
 05 
 
 O'2 
 
 126 
 
 144 
 
 306 
 
 324 
 
 38 
 
 52 
 
 218 
 
 232 
 
 26-1 
 
 04 
 
 O'2 
 
 128 
 
 142 
 
 308 
 
 322 
 
 40 
 
 BO 
 
 22O 
 
 23O 
 
 26-5 
 
 03 
 
 O'2 
 
 13O 
 
 14O 
 
 310 
 
 320 
 
 42 
 
 48 
 
 222 
 
 228 
 
 26-8 
 
 O2 
 
 0'2 
 
 132 
 
 138 
 
 312 
 
 318 
 
 44 
 
 46 
 
 224 
 
 226 
 
 + 26-9 - 
 
 01 
 
 - 0'2 + 
 
 134 
 
 136 
 
 314 
 
 316 
 
 This Equation to be applied to Ecliptic Longitude of Jupiter to give Orbit Longitude. 
 The Argument IB the Ecliptic Longitude minus Longitude of Node from Table 0. 
 The sign follows the side on which the Argument ia found. 
 
 Reduction of Annual Parallax to Jupiter's Orbit 
 
 CII CIII 
 
 
 
 Factor 
 
 A 
 I d 
 
 
 
 Factor 
 
 A 
 I d 
 
 d 
 
 
 
 d 
 
 
 
 O 
 
 + '235 
 
 0,0 
 
 900 
 
 - -163 
 
 0,0 
 
 10 
 
 230 
 
 - 0,9 
 
 21O 
 
 161 
 
 + 0,3 
 
 20 
 
 217 
 
 1,8 
 
 22O 
 
 157 
 
 0,6 
 
 3O 
 
 193 
 
 2,7 
 
 23O 
 
 150 
 
 0,8 
 
 4O 
 
 164 
 
 3,1 
 
 24O 
 
 141 
 
 1,0 
 
 SO 
 
 >3' 
 
 3,5 
 
 25O 
 
 130 
 
 ',3 
 
 6O 
 
 094 
 
 3,6 
 
 26O 
 
 116 
 
 J,5 
 
 70 
 
 059 
 
 3,5 
 
 270 
 
 MOO 
 
 i,7 
 
 80 
 
 + -024 
 
 3,4 
 
 28O 
 
 082 
 
 2,1 
 
 9O 
 
 - -008 
 
 3,2 
 
 29O 
 
 059 
 
 *,5 
 
 10O 
 
 037 
 
 2,7 
 
 3OO 
 
 033 
 
 2,8 
 
 110 
 
 062 
 
 2,3 
 
 31 
 
 - '004 
 
 3,' 
 
 12O 
 
 083 
 
 2,0 
 
 320 
 
 + -028 
 
 3,3 
 
 13O 
 
 102 
 
 1,8 
 
 33O 
 
 062 
 
 3,6 
 
 140 
 
 118 
 
 !,5 
 
 340 
 
 099 
 
 3,6 
 
 15O 
 
 131 
 
 1,2 
 
 35O 
 
 '34 
 
 3i4 
 
 160 
 
 142 
 
 1,0 
 
 36O 
 
 167 
 
 3,i 
 
 17O 
 
 151 
 
 0,8 
 
 370 
 
 195 
 
 2,6 
 
 18O 
 
 158 
 
 0,6 
 
 380 
 
 218 
 
 1,8 
 
 19O 
 
 162 
 
 - o,3 
 
 39O 
 
 231 
 
 + 0,9 
 
 2OO 
 
 - -163 
 
 0,0 
 
 40O + 235 
 
 0,0 
 
 P 
 
 Correction 
 
 P 
 
 Correction 
 
 c 
 
 O 
 
 O'O 
 
 O 
 
 6 
 
 + 5-6 
 
 1 
 
 + 0-9 
 
 7 
 
 6-5 
 
 2 
 
 1-8 
 
 8 
 
 7'4 
 
 3 
 
 2'8 
 
 9 
 
 8-4 
 
 4 
 
 37 
 
 10 
 
 9'3 
 
 5 
 
 4-6 
 
 11 
 
 10-3 
 
 6 
 
 + 5'6 
 
 12 
 
 + ii'3 
 
 Tables CII, CIII apply when the Annual Parallax has been com- 
 puted from the ecliptic longitudes of Jupiter and the -Sun, and supply 
 corrections for reducing it to Jupiter's Orbit. 
 
 Table CII: take out the factor with Argument /3, multiply it 
 into the sum of the two equations taken out from Table CI with the 
 arguments respectively : Sun't Longitude minus Jupiter's Ascend- 
 ing Node, Jupiter's Longitude minus Attending Node, and add the 
 product to the computed Annual Parallax. 
 
 Table CIII : take out the correction with argument p, the Annual 
 Parallax, and apply It to the computed value of p. 
 
 294 
 
CIV 
 
 AUXILIARY TABLES 
 
 The Equation of Light 
 
 I 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 i 
 
 2 
 
 3 
 
 Log. 
 Dist. 
 
 Equation 
 
 A 
 
 Log. 
 Dist. 
 
 Equation 
 
 A 
 
 Log. 
 Dist. 
 
 Equation 
 
 A 
 
 Log. 
 Dist. 
 
 Equation 
 
 A 
 
 Log. 
 Dist. 
 
 Equation 
 
 A 
 
 585 
 
 d 
 
 0-022193 
 
 + 5i 
 
 635 
 
 d 
 
 0-024901 
 
 + 58 
 
 685 
 
 d 
 0-027939 
 
 + 64 
 
 735 
 
 d 
 
 0-031348 
 
 + 7 2 
 
 785 
 
 d 
 0-035I73 
 
 + 81 
 
 6 
 
 2 44 
 
 5i 
 
 6 
 
 958 
 
 58 
 
 6 
 
 O28OO3 
 
 65 
 
 6 
 
 420 
 
 73 
 
 6 
 
 254 
 
 81 
 
 7 
 
 295 
 
 5* 
 
 7 
 
 025016 
 
 58 
 
 7 
 
 068 
 
 65 
 
 7 
 
 493 
 
 73 
 
 7 
 
 335 
 
 82 
 
 8 
 
 347 
 
 5 2 
 
 8 
 
 73 
 
 58 
 
 8 
 
 '33 
 
 65 
 
 8 
 
 565 
 
 73 
 
 8 
 
 417 
 
 82 
 
 9 
 
 39 8 
 
 5 2 
 
 9 
 
 131 
 
 58 
 
 9 
 
 I 9 7 
 
 65 
 
 9 
 
 638 
 
 73 
 
 9 
 
 498 
 
 82 
 
 590 
 
 45 
 
 5 2 
 
 640 
 
 189 
 
 58 
 
 690 
 
 262 
 
 66 
 
 74O 
 
 711 
 
 73 
 
 79O 
 
 580 
 
 82 
 
 591 
 
 022501 
 
 + 5* 
 
 641 
 
 025247 
 
 + 58 
 
 691 
 
 028328 
 
 + 66 
 
 741 
 
 031784 
 
 + 73 
 
 791 
 
 035662 
 
 + 83 
 
 2 
 
 553 
 
 5 2 
 
 2 
 
 305 
 
 59 
 
 2 
 
 393 
 
 65 
 
 2 
 
 857 
 
 74 
 
 2 
 
 745 
 
 83 
 
 3 
 
 605 
 
 5 2 
 
 3 
 
 3 6 4 
 
 59 
 
 3 
 
 458 
 
 66 
 
 3 
 
 931 
 
 74 
 
 3 
 
 827 
 
 83 
 
 4 
 
 657 
 
 53 
 
 4 
 
 422 
 
 59 
 
 4 
 
 5*4 
 
 66 
 
 4 
 
 032004 
 
 74 
 
 4 
 
 910 
 
 83 
 
 5 
 
 710 
 
 53 
 
 5 
 
 481 
 
 59 
 
 5 
 
 59 
 
 66 
 
 5 
 
 078 
 
 74 
 
 5 
 
 992 
 
 83 
 
 596 
 
 022762 
 
 + 5 2 
 
 646 
 
 025539 
 
 + 59 
 
 696 
 
 028656 
 
 + 66 
 
 746 
 
 032152 
 
 + 74 
 
 796 
 
 036075 
 
 + 83 
 
 7 
 
 814 
 
 53 
 
 7 
 
 598 
 
 59 
 
 7 
 
 722 
 
 66 
 
 7 
 
 226 
 
 75 
 
 7 
 
 158 
 
 84 
 
 8 
 
 867 
 
 53 
 
 8 
 
 657 
 
 59 
 
 8 
 
 788 
 
 66 
 
 8 
 
 301 
 
 75 
 
 8 
 
 242 
 
 84 
 
 9 
 
 920 
 
 53 
 
 9 
 
 716 
 
 60 
 
 9 
 
 854 
 
 67 
 
 9 
 
 375 
 
 75 
 
 9 
 
 3 2 5 
 
 84 
 
 600 
 
 973 
 
 53 
 
 650 
 
 776 
 
 60 
 
 700 
 
 921 
 
 67 
 
 750 
 
 450 
 
 75 
 
 8OO 
 
 409 
 
 84 
 
 601 
 
 023026 
 
 + 53 
 
 651 
 
 025835 
 
 + 60 
 
 701 
 
 028987 
 
 + 67 
 
 751 
 
 032524 
 
 + 75 
 
 801 
 
 036493 
 
 + 84 
 
 2 
 
 079 
 
 53 
 
 2 
 
 895 
 
 60 
 
 2 
 
 029054 
 
 67 
 
 2 
 
 599 
 
 76 
 
 2 
 
 577 
 
 84 
 
 3 
 
 132 
 
 53 
 
 3 
 
 954 
 
 60 
 
 3 
 
 121 
 
 67 
 
 3 
 
 675 
 
 76 
 
 3 
 
 661 
 
 85 
 
 4 
 
 185 
 
 54 
 
 4 
 
 026014 
 
 60 
 
 4 
 
 1 88 
 
 68 
 
 4 
 
 750 
 
 75 
 
 4 
 
 746 
 
 85 
 
 5 
 
 239 
 
 54 
 
 5 
 
 074 
 
 60 
 
 5 
 
 256 
 
 68 
 
 5 
 
 825 
 
 76 
 
 5 
 
 831 
 
 85 
 
 606 
 
 023292 
 
 + 54 
 
 656 
 
 026134 
 
 + 60 
 
 706 
 
 029323 
 
 + 68 
 
 756 
 
 032901 
 
 + 76 
 
 8O6 
 
 036916 
 
 + 8 5 
 
 7 
 
 34<5 
 
 54 
 
 7 
 
 194 
 
 61 
 
 7 
 
 391 
 
 68 
 
 7 
 
 977 
 
 76 
 
 7 
 
 037001 
 
 85 
 
 8 
 
 400 
 
 54 
 
 8 
 
 2 55 
 
 61 
 
 8 
 
 458 
 
 68 
 
 8 
 
 033053 
 
 76 
 
 8 
 
 086 
 
 85 
 
 9 
 
 454 
 
 54 
 
 9 
 
 3i5 
 
 61 
 
 9 
 
 526 
 
 68 
 
 9 
 
 129 
 
 76 
 
 9 
 
 171 
 
 86 
 
 610 
 
 508 
 
 54 
 
 660 
 
 376 
 
 61 
 
 71O 
 
 594 
 
 69 
 
 760 
 
 205 
 
 77 
 
 81 
 
 257 
 
 86 
 
 611 
 
 023562 
 
 + 54 
 
 661 
 
 026437 
 
 + 61 
 
 711 
 
 029663 
 
 + 69 
 
 761 
 
 033282 
 
 + 77 
 
 811 
 
 037343 
 
 + 86 
 
 2 
 
 616 
 
 55 
 
 2 
 
 498 
 
 61 
 
 2 
 
 73i 
 
 69 
 
 2 
 
 359 
 
 77 
 
 2 
 
 429 
 
 86 
 
 3 
 
 671 
 
 55 
 
 3 
 
 559 
 
 61 
 
 3 
 
 800 
 
 69 
 
 3 
 
 436 
 
 77 
 
 3 
 
 5'5 
 
 87 
 
 4 
 
 725 
 
 55 
 
 4 
 
 620 
 
 61 
 
 4 
 
 868 
 
 69 
 
 4 
 
 5i3 
 
 77 
 
 4 
 
 602 
 
 87 
 
 5 
 
 780 
 
 55 
 
 5 
 
 681 
 
 62 
 
 5 
 
 937 
 
 69 
 
 5 
 
 59 
 
 77 
 
 5 
 
 689 
 
 87 
 
 616 
 
 023835 
 
 + 55 
 
 666 
 
 026743 
 
 + 62 
 
 716 
 
 030006 
 
 + 69 
 
 766 
 
 033667 
 
 + 78 
 
 816 
 
 037775 
 
 + 87 
 
 7 
 
 890 
 
 55 
 
 7 
 
 805 
 
 62 
 
 7 
 
 075 
 
 7 
 
 7 
 
 745 
 
 78 
 
 7 
 
 863 
 
 88 
 
 8 
 
 945 
 
 55 
 
 8 
 
 866 
 
 62 
 
 8 
 
 H5 
 
 70 
 
 8 
 
 823 
 
 78 
 
 8 
 
 950 
 
 87 
 
 9 
 
 024000 
 
 55 
 
 9 
 
 928 
 
 62 
 
 9 
 
 214 
 
 70 
 
 9 
 
 901 
 
 78 
 
 9 
 
 038037 
 
 88 
 
 620 
 
 55 
 
 56 
 
 670 
 
 990 
 
 63 
 
 72O 
 
 284 
 
 70 
 
 770 
 
 979 
 
 78 
 
 82O 
 
 038125 
 
 + 88 
 
 621 
 2 
 
 02411 1 
 166 
 
 + 56 
 56 
 
 671 
 
 2 
 
 027053 
 US 
 
 + 63 
 63 
 
 721 
 
 2 
 
 030354 
 424 
 
 + 70 
 70 
 
 771 
 2 
 
 034057 
 136 
 
 + 79 
 79 
 
 
 3 
 
 222 
 
 56 
 
 3 
 
 178 
 
 63 
 
 3 
 
 494 
 
 7 
 
 3 
 
 214 
 
 79 
 
 /"T7 
 
 4 
 
 2 7 8 
 
 56 
 
 4 
 
 240 
 
 63 
 
 4 
 
 564 
 
 70 
 
 4 
 
 2 93 
 
 79 
 
 CV 
 
 5 
 
 334 
 
 56 
 
 5 
 
 33 
 
 63 
 
 5 
 
 634 
 
 7i 
 
 5 
 
 37* 
 
 80 
 
 Correction of 
 
 626 
 
 024390 
 
 + 56 
 
 676 
 
 027366 
 
 + 63 
 
 726 
 
 030705 
 
 + 7 
 
 776 
 
 034452 
 
 + 80 
 
 the Equation 
 
 7 
 
 446 
 
 56 
 
 7 
 
 429 
 
 63 
 
 7 
 
 776 
 
 7i 
 
 7 
 
 53' 
 
 80 
 
 
 
 
 8 
 9 
 
 502 
 559 
 
 57 
 57 
 
 8 
 
 9 
 
 492 
 556 
 
 64 
 64 
 
 8 
 
 9 
 
 847 
 918 
 
 7i 
 7' 
 
 8 
 
 9 
 
 611 
 
 690 
 
 80 
 
 80 
 
 
 
 Equation 
 
 /3 
 
 630 
 
 616 
 
 57 
 
 680 
 
 619 
 
 64 
 
 730 
 
 99 
 
 72 
 
 780 
 
 77 
 
 80 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 d 
 
 
 d 
 
 631 
 
 024672 
 
 + 57 
 
 681 
 
 027683 
 
 + 64 
 
 731 
 
 031061 
 
 + 7 2 
 
 781 
 
 034851 
 
 + 81 
 
 o 
 
 o 
 
 4OO 
 
 2 
 
 729 
 
 57 
 
 2 
 
 747 
 
 64 
 
 2 
 
 132 
 
 7* 
 
 2 
 
 93i 
 
 80 
 
 50 
 
 + 2 - 
 
 35O 
 
 3 
 
 786 
 
 57 
 
 3 
 
 810 
 
 64 
 
 3 
 
 204 
 
 7 2 
 
 3 
 
 035011 
 
 81 
 
 10O 
 
 3 
 
 30O 
 
 4 
 
 843 
 
 58 
 
 4 
 
 875 
 
 65 
 
 4 
 
 276 
 
 7 2 
 
 4 
 
 092 
 
 81 
 
 15O 
 
 + 2 - 
 
 25O 
 
 635 
 
 024901 
 
 + 58 
 
 685 
 
 027939 
 
 + 64 
 
 735 
 
 031348 
 
 + 7 2 
 
 785 
 
 035173 
 
 + 81 
 
 200 
 
 
 
 2OO 
 
 295 
 
CVI 
 
 AUXILIARY TABLES 
 
 Minutes and Seconds of Arc in Decimals of a Degree 
 
 I 
 
 2 
 
 i 
 
 2 
 
 / 
 
 
 
 / 
 
 
 
 1 
 
 01667 
 
 51 
 
 85OOO 
 
 2 
 
 03333 
 
 52 
 
 86667 
 
 3 
 
 05000 
 
 53 
 
 88333 
 
 4 
 
 06667 
 
 54 
 
 gOOOO 
 
 5 
 
 08333 
 
 55 
 
 91667 
 
 6 
 
 10000 
 
 56 
 
 '93333 
 
 7 
 
 11667 
 
 57 
 
 95OOO 
 
 8 
 
 13333 
 
 58 
 
 96667 
 
 9 
 
 15000 
 
 59 
 
 98333 
 
 10 
 
 16667 
 
 60 
 
 I 'OOOOO 
 
 11 
 
 '8333 
 
 61 
 
 I '01667 
 
 12 
 
 2OOOO 
 
 62 
 
 1-03333 
 
 13 
 
 '21667 
 
 63 
 
 1-05000 
 
 14 
 
 23333 
 
 64 
 
 1-06667 
 
 15 
 
 25OOO 
 
 65 
 
 1-08333 
 
 16 
 
 26667 
 
 66 
 
 rioooo 
 
 17 
 
 28333 
 
 67 
 
 1-11667 
 
 18 
 
 JOOOO 
 
 68 
 
 1-13333 
 
 19 
 
 31667 
 
 69 
 
 i 'i 5000 
 
 20 
 
 33333 
 
 7O 
 
 i'i666y 
 
 21 
 
 35000 
 
 71 
 
 ''8333 
 
 22 
 
 36667 
 
 72 
 
 I-20OOO 
 
 23 
 
 38333 
 
 73 
 
 1-21667 
 
 24 
 
 40000 
 
 74 
 
 i'23333 
 
 25 
 
 41667 
 
 75 
 
 1-25000 
 
 26 
 
 '43333 
 
 76 
 
 1-26667 
 
 27 
 
 45000 
 
 77 
 
 1-28333 
 
 28 
 
 46667 
 
 78 
 
 1-30000 
 
 29 
 
 48333 
 
 79 
 
 1-31667 
 
 3O 
 
 50000 
 
 80 
 
 '33333 
 
 31 
 
 51667 
 
 81 
 
 1-35000 
 
 32 
 
 53333 
 
 82 
 
 1-36667 
 
 33 
 
 55000 
 
 83 
 
 i'38333 
 
 34 
 
 56667 
 
 84 
 
 i -40000 
 
 35 
 
 S8333 
 
 85 
 
 1-41667 
 
 36 
 
 60000 
 
 86 
 
 1-43333 
 
 37 
 
 61667 
 
 87 
 
 1-45000 
 
 38 
 
 63333 
 
 88 
 
 1-46667 
 
 39 
 
 65000 
 
 89 
 
 1-48333 
 
 4O 
 
 66667 
 
 90 
 
 1-50000 
 
 41 
 
 68333 
 
 91 
 
 1-51667 
 
 42 
 
 70000 
 
 92 
 
 1-53333 
 
 43 
 
 71667 
 
 93 
 
 i 55000 
 
 44 
 
 73333 
 
 94 
 
 1-56667 
 
 45 
 
 75000 
 
 95 
 
 1-58333 
 
 46 
 
 76667 
 
 96 
 
 i '60000 
 
 47 
 
 78333 
 
 97 
 
 1-61667 
 
 48 
 
 80000 
 
 98 
 
 i'63333 
 
 49 
 
 81667 
 
 99 
 
 1-65000 
 
 60 
 
 83333 
 
 1OO 
 
 1-66667 
 
 i 
 
 2 
 
 I 
 
 2 
 
 ;; 
 
 o 
 
 II 
 
 O 
 
 1 
 
 00028 
 
 51 
 
 OI4I7 
 
 2 
 
 56 
 
 52 
 
 1444 
 
 3 
 
 83 
 
 53 
 
 1472 
 
 4 
 
 1 1 1 
 
 54 
 
 I5OO 
 
 5 
 
 139 
 
 55 
 
 1528 
 
 6 
 
 00167 
 
 56 
 
 01556 
 
 7 
 
 194 
 
 57 
 
 1583 
 
 8 
 
 222 
 
 58 
 
 161 1 
 
 9 
 
 250 
 
 59 
 
 1639 
 
 1O 
 
 2 7 8 
 
 60 
 
 1667 
 
 11 
 
 00306 
 
 61 
 
 01694 
 
 12 
 
 333 
 
 62 
 
 1722 
 
 13 
 
 361 
 
 63 
 
 1750 
 
 14 
 
 389 
 
 64 
 
 1778 
 
 15 
 
 417 
 
 65 
 
 1806 
 
 16 
 
 00444 
 
 66 
 
 01833 
 
 17 
 
 472 
 
 67 
 
 1861 
 
 18 
 
 500 
 
 68 
 
 1889 
 
 19 
 
 528 
 
 69 
 
 1917 
 
 20 
 
 556 
 
 7O 
 
 1944 
 
 21 
 
 00583 
 
 71 
 
 01972 
 
 22 
 
 611 
 
 72 
 
 200O 
 
 23 
 
 639 
 
 73 
 
 2028 
 
 24 
 
 667 
 
 74 
 
 2056 
 
 25 
 
 694 
 
 75 
 
 2083 
 
 26 
 
 00722 
 
 76 
 
 021 I I 
 
 27 
 
 75 
 
 77 
 
 2139 
 
 28 
 
 778 
 
 78 
 
 2l67 
 
 29 
 
 806 
 
 79 
 
 2194 
 
 3O 
 
 833 
 
 80 
 
 2222 
 
 31 
 
 00861 
 
 81 
 
 O2250 
 
 32 
 
 889 
 
 82 
 
 2278 
 
 33 
 
 917 
 
 83 
 
 2306 
 
 34 
 
 944 
 
 84 
 
 2333 
 
 35 
 
 972 
 
 85 
 
 2361 
 
 36 
 
 oiooo 
 
 86 
 
 02389 
 
 37 
 
 1028 
 
 87 
 
 2417 
 
 38 
 
 1056 
 
 88 
 
 2444 
 
 39 
 
 1083 
 
 89 
 
 2472 
 
 40 
 
 III! 
 
 90 
 
 2500 
 
 41 
 
 OII39 
 
 91 
 
 02528 
 
 42 
 
 1167 
 
 92 
 
 2556 
 
 43 
 
 1194 
 
 93 
 
 2583 
 
 44 
 
 1222 
 
 94 
 
 26l I 
 
 45 
 
 I25O 
 
 95 
 
 2639 
 
 46 
 
 01278 
 
 96 
 
 02667 
 
 47 
 
 1306 
 
 97 
 
 2694 
 
 48 
 
 1333 
 
 98 
 
 2722 
 
 49 
 
 1361 
 
 99 
 
 2750 
 
 5O 
 
 01389 
 
 100 
 
 02778 
 
 296 
 
CVII 
 
 AUXILIARY TABLES 
 
 Decimals of a Degree in Minutes and Seconds of Arc 
 
 I 
 
 2 
 
 . 
 
 2 
 
 o 
 
 1 II 
 
 
 
 / 11 
 
 01 
 
 o 36 
 
 51 
 
 30 3 6 
 
 02 
 
 I 12 
 
 52 
 
 31 12 
 
 O3 
 
 I 48 
 
 53 
 
 3 I 48 
 
 O4 
 
 2 24 
 
 54 
 
 32 24 
 
 OB 
 
 3 o 
 
 55 
 
 33 
 
 OS 
 
 3 36 
 
 56 
 
 33 36 
 
 O7 
 
 4 12 
 
 57 
 
 34 12 
 
 oa 
 
 4 48 
 
 58 
 
 34 4 8 
 
 09 
 
 5 24 
 
 59 
 
 35 24 
 
 10 
 
 6 o 
 
 60 
 
 36 o 
 
 11 
 
 6 36 
 
 61 
 
 36 36 
 
 12 
 
 7 12 
 
 62 
 
 37 12 
 
 13 
 
 7 48 
 
 63 
 
 37 48 
 
 14 
 
 8 24 
 
 64 
 
 38 24 
 
 15 
 
 9 
 
 65 
 
 39 o 
 
 16 
 
 9 3<5 
 
 66 
 
 39 36 
 
 17 
 
 10 12 
 
 67 
 
 4O 12 
 
 18 
 
 10 48 
 
 68 
 
 40 48 
 
 19 
 
 II 24 
 
 69 
 
 41 24 
 
 2O 
 
 12 
 
 7O 
 
 42 o 
 
 21 
 
 12 36 
 
 71 
 
 42 3<5 
 
 22 
 
 13 12 
 
 72 
 
 43 '2 
 
 23 
 
 I 3 4 8 
 
 73 
 
 43 48 
 
 24 
 
 14 24 
 
 74 
 
 44 24 
 
 25 
 
 15 o 
 
 75 
 
 45 o 
 
 26 
 
 '5 36 
 
 76 
 
 45 36 
 
 27 
 
 l6 12 
 
 77 
 
 46 12 
 
 28 
 
 1 6 48 
 
 78 
 
 46 4 8 
 
 29 
 
 17 24 
 
 79 
 
 47 24 
 
 30 
 
 18 o 
 
 80 
 
 48 o 
 
 31 
 
 18 36 
 
 81 
 
 48 36 
 
 32 
 
 19 12 
 
 82 
 
 49 I2 
 
 33 
 
 I 9 48 
 
 83 
 
 49 48 
 
 34 
 
 2O 24 
 
 84 
 
 50 24 
 
 35 
 
 21 O 
 
 85 
 
 51 o 
 
 36 
 
 21 36 
 
 86 
 
 5 36 
 
 37 
 
 22 12 
 
 87 
 
 S 2 12 
 
 38 
 
 22 48 
 
 88 
 
 52 48 
 
 39 
 
 23 2 4 
 
 89 
 
 53 24 
 
 40 
 
 24 o 
 
 90 
 
 54 o 
 
 41 
 
 24 36 
 
 91 
 
 54 36 
 
 42 
 
 25 12 
 
 92 
 
 55 iz 
 
 43 
 
 25 48 
 
 93 
 
 55 48 
 
 44 
 
 26 24 
 
 94 
 
 56 24 
 
 45 
 
 27 o 
 
 95 
 
 57 o 
 
 46 
 
 27 36 
 
 96 
 
 57 36 
 
 47 
 
 28 12 
 
 97 
 
 58 12 
 
 48 
 
 28 48 
 
 98 
 
 58 48 
 
 49 
 
 2 9 24 
 
 99 
 
 59 24 
 
 50 
 
 30 o 
 
 1 00 
 
 60 o 
 
 
 
 
 
 i 
 
 2 
 
 . 
 
 2 
 
 o 
 
 II 
 
 o 
 
 // 
 
 0001 
 
 0-36 
 
 O051 
 
 I8-36 
 
 2 
 
 072 
 
 52 
 
 l872 
 
 3 
 
 I -08 
 
 53 
 
 I9-O8 
 
 4 
 
 I'44 
 
 54 
 
 I9-44 
 
 5 
 
 I -80 
 
 55 
 
 I9-8O 
 
 0006 
 
 2'l6 
 
 0056 
 
 20-16 
 
 7 
 
 2-52 
 
 57 
 
 20-52 
 
 8 
 
 2-88 
 
 58 
 
 20-88 
 
 9 
 
 3^4 
 
 59 
 
 21-24 
 
 1O 
 
 3-60 
 
 60 
 
 21-60 
 
 0011 
 
 3'9 6 
 
 0061 
 
 21-96 
 
 12 
 
 4-32 
 
 62 
 
 22-32 
 
 13 
 
 4-68 
 
 63 
 
 22-68 
 
 14 
 
 5-04 
 
 64 
 
 23-04 
 
 15 
 
 5-40 
 
 65 
 
 23-40 
 
 0016 
 
 576 
 
 0066 
 
 23-76 
 
 17 
 
 6-12 
 
 67 
 
 24-12 
 
 18 
 
 6-48 
 
 68 
 
 24-48 
 
 19 
 
 6-84 
 
 69 
 
 24-84 
 
 2O 
 
 7-20 
 
 7O 
 
 25-20 
 
 OO21 
 
 7-56 
 
 0071 
 
 25 56 
 
 22 
 
 7.92 
 
 72 
 
 25-92 
 
 23 
 
 8-28 
 
 73 
 
 26-28 
 
 24 
 
 8-64 
 
 74 
 
 26-64 
 
 25 
 
 9 - oo 
 
 75 
 
 27-00 
 
 0026 
 
 9-36 
 
 OO76 
 
 27-36 
 
 27 
 
 9-72 
 
 77 
 
 27-72 
 
 28 
 
 1 0-08 
 
 78 
 
 28-08 
 
 29 
 
 10-44 
 
 79 
 
 28-44 
 
 30 
 
 10-80 
 
 80 
 
 28-80 
 
 0031 
 
 11-16 
 
 0081 
 
 29'i6 
 
 32 
 
 11-52 
 
 82 
 
 29-52 
 
 33 
 
 1 1-88 
 
 83 
 
 29-88 
 
 34 
 
 12-24 
 
 84 
 
 30-24 
 
 35 
 
 12-60 
 
 85 
 
 30-60 
 
 0036 
 
 12-96 
 
 0086 
 
 30-96 
 
 37 
 
 13-32 
 
 87 
 
 31-32 
 
 38 
 
 13-68 
 
 88 
 
 31-68 
 
 39 
 
 14-04 
 
 89 
 
 32-04 
 
 4O 
 
 14-40 
 
 9O 
 
 32-40 
 
 0041 
 
 14-76 
 
 0091 
 
 3276 
 
 42 
 
 15-12 
 
 92 
 
 33-12 
 
 43 
 
 15-48 
 
 93 
 
 33-48 
 
 44 
 
 15-84 
 
 94 
 
 33-84 
 
 45 
 
 16-20 
 
 95 
 
 34-20 
 
 0046 
 
 16-56 
 
 0096 
 
 34-56 
 
 47 
 
 16-92 
 
 97 
 
 34-92 
 
 48 
 
 17-28 
 
 98 
 
 35-28 
 
 49 
 
 17-64 
 
 99 
 
 35-64 
 
 OO50 
 
 iS'oo 
 
 01OO 
 
 36-00 
 
 Z97 
 
CVII I 
 
 AUXILIARY TABLES 
 
 Decimals of a Day in Hours, Minutes and Seconds. 
 
 I 
 
 2 
 
 I 
 
 2 
 
 Days 
 
 H., M., S. 
 
 Days 
 
 H., M., S. 
 
 d 
 001 
 
 h m 6 
 
 o 14 24-00 
 
 d 
 O 51 
 
 h m s 
 12 14 24'OO 
 
 02 
 
 o 28 48-00 
 
 52 
 
 12 28 48-00 
 
 03 
 
 o 43 12-00 
 
 53 
 
 12 43 12-00 
 
 O4 
 
 o 57 36-00 
 
 54 
 
 12 57 36-00 
 
 05 
 
 I 12 O'OO 
 
 55 
 
 13 12 O'OO 
 
 06 
 
 I 26 24-00 
 
 O 56 
 
 13 26 24 - OO 
 
 07 
 
 i 40 48-00 
 
 57 
 
 13 40 48-00 
 
 08 
 
 i 55 12-00 
 
 58 
 
 13 55 12-00 
 
 09 
 
 2 9 36-00 
 
 59 
 
 14 9 36-00 
 
 10 
 
 2 24 O'OO 
 
 60 
 
 14 24 o-oo 
 
 O11 
 
 2 38 24'OO 
 
 O 61 
 
 14 38 24-00 
 
 12 
 
 2 52 48-00 
 
 62 
 
 14 52 48-00 
 
 13 
 
 3 7 i2 - oo 
 
 63 
 
 15 7 12-00 
 
 14 
 
 3 21 36-00 
 
 64 
 
 15 21 36-00 
 
 15 
 
 3 36 0-00 
 
 65 
 
 15 36 o'oo 
 
 016 
 
 3 50 24'oo 
 
 066 
 
 15 50 24-00 
 
 17 
 
 4 4 48-00 
 
 67 
 
 1 6 4 48-00 
 
 18 
 
 4 19 12-00 
 
 68 
 
 1 6 19 I2'00 
 
 19 
 
 4 33 36-00 
 
 69 
 
 16 33 36-00 
 
 20 
 
 4 48 o'oo 
 
 7O 
 
 16 48 o-oo 
 
 021 
 
 5 2 24-00 
 
 O71 
 
 17 2 24-00 
 
 22 
 
 5 16 48-00 
 
 72 
 
 17 1 6 48-00 
 
 23 
 
 5 31 12-00 
 
 73 
 
 17 31 I2'00 
 
 24 
 
 5 45 36-00 
 
 74 
 
 17 45 36-00 
 
 25 
 
 6 o o-oo 
 
 75 
 
 1 8 o o-oo 
 
 26 
 
 6 14 24-00 
 
 O 76 
 
 1 8 14 24-00 
 
 27 
 
 6 28 48-00 
 
 77 
 
 18 28 48-00 
 
 28 
 
 6 43 12-00 
 
 78 
 
 18 43 12-00 
 
 29 
 
 6 57 36-00 
 
 79 
 
 18 57 36-00 
 
 30 
 
 7 12 o-oo 
 
 80 
 
 19 12 o-oo 
 
 031 
 
 7 26 24-00 
 
 O81 
 
 19 26 24-00 
 
 32 
 
 7 40 48-00 
 
 82 
 
 19 40 48-00 
 
 33 
 
 7 55 12-00 
 
 83 
 
 19 55 12-00 
 
 34 
 
 8 9 36-00 
 
 84 
 
 20 9 36-00 
 
 35 
 
 8 24 o-oo 
 
 85 
 
 20 24 o'oo 
 
 036 
 
 8 38 24-00 
 
 086 
 
 20 38 24-00 
 
 37 
 
 8 52 48-00 
 
 87 
 
 20 52 48-00 
 
 38 
 
 9 7 12-00 
 
 88 
 
 21 7 I2-OO 
 
 39 
 
 9 21 36-00 
 
 89 
 
 21 21 36-00 
 
 40 
 
 9 36 o-oo 
 
 90 
 
 21 36 O'OO 
 
 041 
 
 9 50 24-00 
 
 091 
 
 21 50 24-00 
 
 42 
 
 10 4 48-00 
 
 92 
 
 22 4 48'OO 
 
 43 
 
 IO 19 12-OO 
 
 93 
 
 22 19 I2'00 
 
 44 
 
 10 33 36-00 
 
 94 
 
 22 33 36-00 
 
 45 
 
 10 48 o'oo 
 
 95 
 
 22 48 O'OO 
 
 046 
 
 I I 2 24-00 
 
 096 
 
 23 2 24-00 
 
 47 
 
 ii 1 6 48-00 
 
 97 
 
 23 16 48-00 
 
 48 
 
 II 31 I2'OO 
 
 98 
 
 23 31 I2'00 
 
 49 
 
 ii 45 36-00 
 
 99 
 
 23 45 36-00 
 
 5O 
 
 12 O O'OO 
 
 1 00 
 
 24 o o-oo 
 
 . 
 
 2 
 
 i 
 
 2 
 
 Days 
 
 Min., Sec 
 
 Days 
 
 Min., Sec. 
 
 d 
 0001 
 
 m s 
 
 o 8-64 
 
 d 
 0051 
 
 m B 
 
 7 20-64 
 
 2 
 
 o 17-28 
 
 52 
 
 7 29-28 
 
 3 
 
 o 25-92 
 
 53 
 
 7 37'9 ? - 
 
 4 
 
 34-56 
 
 54 
 
 7 46-56 
 
 5 
 
 o 43-20 
 
 55 
 
 7 55-2 
 
 0006 
 
 o 51-84 
 
 0056 
 
 8 3-84 
 
 7 
 
 I 0-48 
 
 57 
 
 8 12-48 
 
 8 
 
 I 9-12 
 
 58 
 
 8 21-12 
 
 9 
 
 I 17-76 
 
 59 
 
 8 29-76 
 
 IO 
 
 I 26-40 
 
 60 
 
 8 38-40 
 
 OO11 
 
 I 35-04 
 
 0061 
 
 8 47-04 
 
 12 
 
 I 43-68 
 
 62 
 
 8 55-68 
 
 13 
 
 I 52-32 
 
 63 
 
 9 4'32 
 
 14 
 
 2 0-96 
 
 64 
 
 9 12-96 
 
 15 
 
 2 9-60 
 
 65 
 
 9 21-60 
 
 OO16 
 
 2 18-24 
 
 0066 
 
 9 30-24 
 
 17 
 
 2 26-88 
 
 67 
 
 9 38-88 
 
 18 
 
 2 35-52 
 
 68 
 
 9 47-52 
 
 19 
 
 2 44-16 
 
 69 
 
 9 56-16 
 
 2O 
 
 2 52-80 
 
 7O 
 
 10 4-80 
 
 0021 
 
 3 ''44 
 
 OO71 
 
 10 >3"44 
 
 22 
 
 5 10-08 
 
 72 
 
 IO 22'08 
 
 23 
 
 3 18-72 
 
 73 
 
 10 30-72 
 
 24 
 
 3 27-36 
 
 74 
 
 10 39-36 
 
 25 
 
 3 36-00 
 
 75 
 
 10 48-00 
 
 0026 
 
 3 44' 6 4 
 
 0076 
 
 10 56-64 
 
 27 
 
 3 53-28 
 
 77 
 
 II 5-28 
 
 28 
 
 4 '-92 
 
 78 
 
 II 13-92 
 
 29 
 
 4 10-56 
 
 79 
 
 II 22-56 
 
 3O 
 
 4 19-20 
 
 8O 
 
 II 31-20 
 
 0031 
 
 4 27-84 
 
 O081 
 
 II 39-84 
 
 32 
 
 4 36-48 
 
 82 
 
 II 48-48 
 
 33 
 
 4 45-12 
 
 83 
 
 II 57-12 
 
 34 
 
 4 5376 
 
 84 
 
 12 576 
 
 35 
 
 5 z'4 
 
 85 
 
 12 14*40 
 
 0036 
 
 5 11-04 
 
 0086 
 
 12 23-04 
 
 37 
 
 5 19-68 
 
 87 
 
 12 31-68 
 
 38 
 
 5 28-32 
 
 88 
 
 12 40-32 
 
 39 
 
 5 36-96 
 
 89 
 
 12 48-96 
 
 40 
 
 5 45-60 
 
 90 
 
 12 57'6O 
 
 0041 
 
 5 54-24 
 
 OO91 
 
 13 6-24 
 
 42 
 
 6 2-88 
 
 92 
 
 13 14-88 
 
 43 
 
 6 11-52 
 
 93 
 
 13 23-52 
 
 44 
 
 6 2O'i6 
 
 94 
 
 13 32-I6 
 
 45 
 
 6 28-80 
 
 95 
 
 13 40-80 
 
 0046 
 
 6 37'44 
 
 0096 
 
 3 49H4 
 
 47 
 
 6 46-08 
 
 97 
 
 13 58-08 
 
 48 
 
 6 54-72 
 
 98 
 
 H 672 
 
 49 
 
 7 3-36 
 
 99 
 
 4 '5-36 
 
 0050 
 
 7 12-00 
 
 O1 OO 
 
 14 24-00 
 
 i 
 
 2 
 
 i 
 
 2 
 
 Days 
 
 Sec. 
 
 Days 
 
 Sec. 
 
 d 
 
 8 
 
 d 
 
 | 
 
 000001 
 
 O-Og 
 
 000051 
 
 4-41 
 
 2 
 
 0-17 
 
 52 
 
 4'49 
 
 3 
 
 O-26 
 
 53 
 
 4-58 
 
 4 
 
 0-35 
 
 54 
 
 4-67 
 
 5 
 
 0-43 
 
 55 
 
 475 
 
 000006 
 
 0-52 
 
 000056 
 
 4-84 
 
 7 
 
 0-61 
 
 57 
 
 4-93 
 
 8 
 
 0-69 
 
 58 
 
 5-01 
 
 9 
 
 0-78 
 
 59 
 
 5-10 
 
 1O 
 
 0-86 
 
 60 
 
 5-18 
 
 00001 1 
 
 o-95 
 
 000061 
 
 5-27 
 
 12 
 
 1-04 
 
 62 
 
 5-36 
 
 13 
 
 l'I2 
 
 63 
 
 5'44 
 
 14 
 
 I'21 
 
 64 
 
 5-53 
 
 15 
 
 I-30 
 
 65 
 
 5-62 
 
 00001 6 
 
 I- 3 8 
 
 000066 
 
 5-70 
 
 17 
 
 1-47 
 
 67 
 
 579 
 
 18 
 
 I- 5 6 
 
 68 
 
 5-88 
 
 19 
 
 1-64 
 
 69 
 
 5-96 
 
 2O 
 
 173 
 
 70 
 
 6-05 
 
 000021 
 
 1-81 
 
 000071 
 
 6-13 
 
 22 
 
 1-90 
 
 72 
 
 6-22 
 
 23 
 
 1-99 
 
 73 
 
 6-31 
 
 24 
 
 2-07 
 
 74 
 
 6-39 
 
 25 
 
 2-16 
 
 75 
 
 6-48 
 
 OOOO26 
 
 2-25 
 
 000076 
 
 6-57 
 
 27 
 
 2-33 
 
 77 
 
 6-65 
 
 28 
 
 2-42 
 
 78 
 
 674 
 
 29 
 
 2-51 
 
 79 
 
 6-83 
 
 3O 
 
 2-59 
 
 8O 
 
 6-91 
 
 OOOO31 
 
 2-68 
 
 OO0081 
 
 7-00 
 
 32 
 
 2*77 
 
 82 
 
 7-09 
 
 33 
 
 2-85 
 
 83 
 
 7-17 
 
 34 
 
 2'94 
 
 84 
 
 7-26 
 
 35 
 
 3-02 
 
 85 
 
 7'34 
 
 OOOO36 
 
 3-11 
 
 OOOO86 
 
 7'43 
 
 37 
 
 3-20 
 
 87 
 
 7 52 
 
 38 
 
 3-28 
 
 88 
 
 7-60 
 
 39 
 
 3'37 
 
 89 
 
 7-69 
 
 4O 
 
 3-46 
 
 9O 
 
 778 
 
 000041 
 
 3'54 
 
 000091 
 
 7-86 
 
 42 
 
 3-63 
 
 92 
 
 7'95 
 
 43 
 
 3-72 
 
 93 
 
 8-04 
 
 44 
 
 3-80 
 
 94 
 
 8-12 
 
 45 
 
 3-89 
 
 95 
 
 8-21 
 
 000046 
 
 3^7 
 
 000096 
 
 8-29 
 
 47 
 
 4-06 
 
 97 
 
 8-38 
 
 48 
 
 4''5 
 
 98 
 
 8-47 
 
 49 
 
 4-23 
 
 99 
 
 8-55 
 
 OO0050 
 
 4-32 
 
 O001 00 
 
 8-64 
 
 298 
 
CIX 
 
 AUXILIARY TABLES 
 
 Hours, Minutes and Seconds in Decimals of a Day 
 
 
 
 2 
 
 
 
 2 
 
 Hours 
 
 Days 
 
 Hours 
 
 Days 
 
 O 
 
 d 
 
 oooooo 
 
 50 
 
 d 
 2-083333 
 
 1 
 
 041667 
 
 51 
 
 2^125000 
 
 2 
 
 083333 
 
 52 
 
 2-166667 
 
 3 
 
 125000 
 
 53 
 
 2-208333 
 
 4 
 
 166667 
 
 54 
 
 2-250000 
 
 5 
 
 208333 
 
 55 
 
 2-291667 
 
 6 
 
 250000 
 
 56 
 
 2-333333 
 
 7 
 
 291667 
 
 57 
 
 2-375000 
 
 8 
 
 '333333 
 
 58 
 
 2-416667 
 
 9 
 
 375000 
 
 59 
 
 2-458333 
 
 1O 
 
 416667 
 
 6O 
 
 2-500000 
 
 11 
 
 458333 
 
 61 
 
 2-541667 
 
 12 
 
 500000 
 
 62 
 
 2-583333 
 
 13 
 
 541667 
 
 63 
 
 2-625000 
 
 14 
 
 583333 
 
 64 
 
 2-666667 
 
 15 
 
 625000 
 
 65 
 
 2708333 
 
 16 
 
 666667 
 
 66 
 
 2-750000 
 
 17 
 
 708333 
 
 67 
 
 2-791667 
 
 18 
 
 750000 
 
 68 
 
 2-833333 
 
 19 
 
 791667 
 
 69 
 
 2-875000 
 
 2O 
 
 833333 
 
 70 
 
 2-916667 
 
 21 
 
 875000 
 
 71 
 
 2-958333 
 
 22 
 
 916667 
 
 72 
 
 3-000000 
 
 23 
 
 958333 
 
 73 
 
 3-041667 
 
 24 
 
 I'OOOOOO 
 
 74 
 
 3-083333 
 
 25 
 
 1-041667 
 
 75 
 
 3-125000 
 
 26 
 
 1-083333 
 
 76 
 
 3-166667 
 
 27 
 
 1 '125000 
 
 77 
 
 3-208333 
 
 28 
 
 1-166667 
 
 78 
 
 3-250000 
 
 29 
 
 1-208333 
 
 79 
 
 3-291667 
 
 30 
 
 1-250000 
 
 80 
 
 3'333333 
 
 31 
 
 1-291667 
 
 81 
 
 3-375000 
 
 32 
 
 '333333 
 
 82 
 
 3-416667 
 
 33 
 
 1-375000 
 
 83 
 
 3'458333 
 
 34 
 
 1-416667 
 
 84 
 
 3-500000 
 
 35 
 
 '458333 
 
 85 
 
 3-541667 
 
 36 
 
 1-500000 
 
 86 
 
 3'583333 
 
 37 
 
 1-541667 
 
 87 
 
 3-625000 
 
 38 
 
 1-583333 
 
 88 
 
 3-666667 
 
 39 
 
 1-625000 
 
 89 
 
 3708333 
 
 4O 
 
 1-666667 
 
 9O 
 
 3-750000 
 
 41 
 
 1708333 
 
 91 
 
 3-791667 
 
 42 
 
 1-750000 
 
 92 
 
 3-833333 
 
 43 
 
 1791667 
 
 93 
 
 3-875000 
 
 44 
 
 I-833333 
 
 94 
 
 3-916667 
 
 45 
 
 1-875000 
 
 95 
 
 3-958333 
 
 46 
 
 1-916667 
 
 96 
 
 4'oooooo 
 
 47 
 
 i'958333 
 
 97 
 
 4-041667 
 
 48 
 
 2'DOOOOO 
 
 98 
 
 4-083333 
 
 49 
 
 2-041667 
 
 99 
 
 4'i25ooo 
 
 50 
 
 2-083333 
 
 100 
 
 4-166667 
 
 i 
 
 2 
 
 I 
 
 2 
 
 Min. 
 
 Days 
 
 Min. 
 
 Days 
 
 O 
 
 d 
 
 oooooo 
 
 5O 
 
 d 
 034722 
 
 1 
 
 694 
 
 51 
 
 354'7 
 
 2 
 
 '389 
 
 52 
 
 361 1 1 
 
 3 
 
 2083 
 
 53 
 
 36806 
 
 4 
 
 2778 
 
 54 
 
 37500 
 
 5 
 
 3472 
 
 55 
 
 38194 
 
 6 
 
 004167 
 
 56 
 
 038889 
 
 7 
 
 4861 
 
 57 
 
 395 8 3 
 
 8 
 
 5556 
 
 58 
 
 40278 
 
 9 
 
 6250 
 
 59 
 
 40972 
 
 1O 
 
 6944 
 
 60 
 
 41667 
 
 11 
 
 007639 
 
 61 
 
 '042361 
 
 12 
 
 8333 
 
 62 
 
 43056 
 
 13 
 
 9028 
 
 63 
 
 4375 
 
 14 
 
 9722 
 
 64 
 
 44444 
 
 15 
 
 10417 
 
 65 
 
 45139 
 
 16 
 
 o 1 1 1 1 1 
 
 66 
 
 45833 
 
 17 
 
 11806 
 
 67 
 
 46528 
 
 18 
 
 12500 
 
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