A CONTINUATION 
 
 DE DAMOISEAU'S TABLES 
 
 SATELLITES OF JUPITER, 
 
 TO 
 
 THE -YE 
 
 19OO 
 
 D. P. JODD, B. A. 
 
 PUBLISHED FOR THE AMERICAN EPHEMERIS AND NAUTICAL ALMANAC, 
 BY AUTHORITY OF THE SECRETARY OF THE NAVY. 
 
 WASHINGTON: 
 
 BUREAU OF NAVIGATION. 
 
 1876. 
 

 Tb 
 

 PREFATORY NOTE. 
 
 THE Tables Ediptiques des Satellites de Jupiter, d'apres la Theorie de leurs attractions 
 mutuelles et les constantes deduites des Observations, par le Baron DE DAMOISEATJ, Paris, 
 1836, terminate with the epoch 1880.0. Entirely new tables of the satellites, being very 
 laborious to construct, have not yet been published. .In this continuation of the Tables 
 Ediptiques, no changes in the fundamental formulae and elements have been made, it being 
 believed that the consequent inconvenience to the future investigator of the motions of the 
 satellites would more than neutralize any advantages supposed to arise from such a change. 
 
 The work was planned early in the present year : the definitive computations were 
 not, however, commenced until August. 
 
 An acknowledgment of indebtedness is due Professor NEWCOMB, from whom advice 
 has been received, from time to time, during the prosecution of the work. 
 
 D. P. TODD. 
 
 WASHINGTON, 1876, November the 1th. 
 
CONTENTS. 
 
 INTRODUCTION. 
 
 THE CONSTRUCTION OF THE TABLES. 
 
 THE FIKST SATELLITE. Table I, the epochs of the mean conjunctions 
 
 The terms of the arguments of the inequalities which increase uniformly with the time 7 
 
 THE SECOND SATELLITE. Table I, the epochs of the mean conjunctions .. 
 
 The terms* of the arguments of the inequalities which increase uniformly with the time 8 
 
 THE THIRD SATELLITE. Table I, the epochs of the mean conjunctions 
 
 The terms of the arguments of tin- inequalities which increase uniformly with the time 8 
 
 THK FOURTH SATELLITH. Table I, the epochs of the mean conjunctions 
 
 The terms of the arguments of the inequalities which increase uniformly with the time 9 
 
 The formation of the complete arguments of the inequalities of the satellites . . .. 9 
 
 THE FORMATION OK TABLE III. Terms in ( J + <j> + 6 E ) 'J 
 
 Tabular values of J, J + 0, Qt + fr, (!E .' 9 
 
 The mean sviioilic revolutions of the satellites, expressed in days 10 
 
 Terms in (5 it 2 ) 10 
 
 Terms in (n A,,), ( II A,,, ) } etc 11 
 
 Comparison of Table III with Dn DAMOISEAU 
 
 Longitudes of Observatories from Paris. .. 
 
 The continuation of the tables of the configurations. . 
 
 Values of the motion of ,, , ,, |V . in 3!>T> and :{fi(i (lays 
 
 Adopted values of ?/,, n , ,, lv . lf*0, January 1. i'aris mean midnight 
 
 Errors in IM. OAMOISK.AU'S Tulles Ecliptiquet, tie... 
 
 TABLES 
 
 OK THE ECLIPSES. 
 
 THE FIRST SATK.LLITE. Table I, Epochs of the mean conjunctions and the arguments of the inequalities ,.,, 16 
 
 Table III, 1'erturbations of Jupiter and other inequalities 18 
 
 THE SECOND SATELLITE. Table I, Epochs of the mean conjunctions and the arguments of the inequalities 20 
 
 Table III, Perturbations of Jupiter and other inequalities 22 
 
 THE THIRD SATELLITE. Table I, Epochs of the mean conjunctions and the arguments of the' inequalities 24 
 
 Table 111, Perturbations of Jupiter and other inequalities 2C 
 
 i'HK. FOURTH SATEI.I.ITK. Table I, Epochs of the mean conj unctions and the arguments of the Inequalities 28 
 
 Table III, Perturbations of Jupiter and other inequalities 30 
 
 Table A, Longitudes of Observatories from Paris 
 
 OK THE CONKJGUKATlONS. 
 
 THE FIRST SATELLITE. Table I, Epochs of the mean longitude mid the arguments of the inequalities 34 
 
 THE SECOND SATELLITE. Table I. Epochs of the mean longitude and the arguments of the inequalities 35 
 
 THE THIRD SATELLITE. Table T. Epochs of the mean longitude and the arguments of the inequalities 36 
 
 THE FOURTH SATELLITE. Table I. Epochs of the mean longitude and the arguments of the inequalities 37 
 
 Corrections to the Tulles ^cUptiquei i?r Ki/rllitc* </< Jupiter, etc., par le Jiaron l)n TUMOISKAU, I'aris, IMIMi 38 
 

 ranVBBSITY 
 V^TFnW 
 
 INTRODUCTION. 
 
 THE CONSTRUCTION OF THE TABLES. 
 
 THE fundamental formulae and elements of the Tables diptiques are given by DE DAMOISEAU, Introduction, 
 pages (i) (x). 
 
 THE TABLES OF THE ECLIPSES. Of the Tables for computing the eclipses, those which require extension 
 are I and III of each satellite. 
 
 THE FORMATION OF TABLE I. 
 
 The First Satellite. Counting from the first mean conjunction in each year, and letting i represent tho 
 number of mean synodic revolutions, then 
 
 from 1750 to 1880, i = 26827 ; 
 1880 to 1900, i = 4128. 
 
 The epoch of the first mean conjunction in the year 1880 is January 1, 18 1 ' 16'" 45 S .070, Paris mean civil 
 time. 
 
 d h m s 
 
 The mean synodic revolution of I X 206 = 364 14 11 24.74721 
 
 X 207 = 366 8 40 0.69259 
 
 The terms of the arguments of the inequalities which increase uniformly with the time are based on the 
 data of the following table : 
 
 Argument. 
 
 5 
 tt 
 
 1 
 S 
 
 9 
 
 I 
 II 
 
 III 
 
 Terms. 
 
 "o *o 
 
 U ^' 
 
 U U 7-43 
 
 , w n _2.77 
 
 M, HI 4. 10 
 i *ni 5.51 
 i TIV 5.51 
 
 M, 2tl n +7T m 
 
 M, _2M n +^T 
 
 M, n 5.51 
 i A n 5.51 
 i A m 5.51 
 
 Adopted value for first 
 mean conj. 1880. 
 
 11 8?4926 
 
 11 29.9085 
 
 9 12.4537 
 
 4 23.9896 
 
 4 
 
 1 
 
 6.0301 
 20.2086 
 2 12.4348 
 7 28.0372 
 
 7 
 I 
 
 5.5824 
 0.2171 
 
 11.7738 
 4 22.1023 
 
 Motion for 
 i = 206. 
 
 30?2924 
 359.3412 
 329.0501 
 149.9562 
 
 44.9342 
 
 27.6958 
 
 29.5979 
 
 272.2184 
 
 270.3145 
 30.2944 
 42.3512 
 
 32.8438 
 
 Motion for 
 i = 207. 
 
 30?4395 
 
 1.0856 
 
 330.6474 
 
 330.6841 
 
 316.0261 
 27.8302 
 29.7416 
 
 273.5399 
 
 271.6267 
 30.4415 
 42.5568 
 33.0032 
 
 The Second Satellite. Counting from the first mean conjunction in each year, 
 
 from 1750 to 1880, i = 13360; 
 1880 to 1900, i = 2055. 
 The epoch of the first mean conjunction in the year 1880 is January 3, 5' 1 3'" 2 8 .719, Paris mean civil time. 
 
 The mean synodic revolution of II X 102 = 362 12 25 20.99381 
 
 X 103 = 366 1 43 14.72904 
 
8 
 
 INTRODUCTION. 
 
 The terms of the arguments of the inequalities which increase uniformly with the time arc based on the 
 data of the following table : 
 
 Argument. 
 
 1 
 
 a 
 :i 
 4 
 
 5 
 
 I 
 
 II 
 III 
 IV 
 
 
 Terms. 
 
 Adopted value for first 
 
 Motion for 
 
 Motion for 
 
 
 
 nieiiii foiij. I--H. 
 
 i = 102. 
 
 i = 103. 
 
 
 
 S. o 
 
 o 
 
 o 
 
 MO 
 
 7T 
 
 11 8.6129 
 
 30.1201 
 
 30.4154 
 
 U 
 
 K' 
 
 1.3362 
 
 357.2974 
 
 0.8003 
 
 U 
 
 MO 7M3 
 
 9 13.7591 
 
 327.1786 
 
 330.3862 
 
 MII 
 
 Mm 2.78 
 
 1 24.5665 
 
 149.1032 
 
 330.5650 
 
 H- 
 
 7T n i 5. 51 
 
 1 20.0917 
 
 27.5365 
 
 27.8065 
 
 MH 
 
 _ FLO r i 
 "IV i> .*} 1 
 
 2 12.5521 
 
 29.4296 
 
 29.7181 
 
 MI 
 
 4Wu 1 I'm 
 
 7 29.1189 
 
 270.6701 
 
 273.323H 
 
 MI 
 
 "' 0/ 1 JT 
 
 7 6.6546 
 
 268.7771 
 
 271.4121 
 
 Mn 
 
 n 5.5l 
 
 1 0.3335 
 
 30.1221 
 
 30.4174 
 
 MII 
 
 A,, 5.51 
 
 11.9208 
 
 42.1103 
 
 42.5231 
 
 Mn 
 
 A nl 5.51 
 
 4 22.2343 
 
 32.6570 
 
 32.9772 
 
 Mn 
 
 Alv 5.51 
 
 5 5.3055 
 
 30.8085 
 
 31.1105 
 
 The Third Satellite. Counting from the first mean conjunction in each year, 
 
 from 1750 to 1880, i = 6625 ; 
 1880 to 1900, i = 1019. 
 The epoch of the first mean conjunction in the year 1880 is January 4, 8 1 ' 27'" 5".256, Paris mean civil time. 
 
 The mean synodic revolution of III X 50 = 358 7 39 52*70985 
 
 X 51 = 365 11 39 28.56405 
 X 52 = 372 15 39 4.41825 
 
 The terms of the arguments of the inequalities which increase uniformly with the time arc based on the 
 data of the following table : 
 
 Argument. 
 
 Terms. 
 
 Adopted value for first 
 mean conj. 1880. 
 s. o 
 
 Motion for 
 t = 50. 
 
 o 
 
 Motion for 
 o 
 
 Motion for 
 o 
 
 t 
 
 M T 
 
 
 
 11 
 
 8.7077 
 
 29 
 
 .7713 
 
 30.3667 
 
 30.9622 
 
 2 
 
 U *' 
 
 
 
 
 
 2. 
 
 4625 
 
 353 
 
 .1596 
 
 0.2228 
 
 7.2860 
 
 S 
 
 U M 
 
 7.43 
 
 9 
 
 14.7905 
 
 323.3896 
 
 329.8574 
 
 336.3252 
 
 4 
 
 MU Mm 
 
 5.60 
 
 3 
 
 20.0286 
 
 294 
 
 .7529 
 
 300.6479 
 
 306.5430 
 
 5 
 
 Mm iv 
 
 3 
 
 .20 
 
 9 
 
 17. 
 
 5541 
 
 220 
 
 .4407 
 
 66.4496 
 
 272.4584 
 
 O 
 
 1l m Tt m 
 
 5 
 
 .51 
 
 1 
 
 20. 
 
 1813 
 
 27 
 
 .2177 
 
 27.7620 
 
 28.3064 
 
 t 
 
 Mm TIV 
 
 5 
 
 .51 
 
 2 
 
 12. 
 
 6504 
 
 29 
 
 .0888 
 
 29.6706 
 
 30.2523 
 
 8 
 
 , 2w n 
 
 + *i 
 
 ii 
 
 7 
 
 29. 
 
 9752 
 
 267 
 
 .5356 
 
 272.8863 
 
 278.2370 
 
 9 
 
 Af O I/ 
 
 H| >%'('][ 
 
 + 7T, 
 
 r 
 
 7 
 
 7. 
 
 5018 
 
 265.6644 
 
 270. 
 
 9777 
 
 276.2910 
 
 I 
 
 , n 
 
 5 
 
 .51 
 
 1 
 
 0. 
 
 3216 
 
 29 
 
 .7724 
 
 30.3679 
 
 30.9633 
 
 II 
 
 Mm Am 
 
 5 
 
 .51 
 
 4 
 
 22. 
 
 3401 
 
 32 
 
 .2768 
 
 32.9244 
 
 33.5700 
 
 III 
 
 Mm AIV 
 
 5 
 
 .51 
 
 5 
 
 5. 
 
 4064 
 
 30.4517 
 
 31. 
 
 0608 
 
 31.6698 
 
 IV 
 
 Mm AH 
 
 5 
 
 .51 
 
 
 
 11. 
 
 9448 
 
 41 
 
 .6217 
 
 42.4511 
 
 43.2865 
 
 The Fourth Sale/lite. Counting from the first mean conjunction in each year, 
 
 from 1750 to 1880, i = 2834; 
 1880 to 1900, i = 436. 
 The epoch of the first mean conjunction in the year 1880 is January 1, 3 1 ' C'" 37 s . 286, Paris mean civil time. 
 
 The mean synodic revolution of IV X 21 = 351 19 47 25.49492 
 
 X 22 = 368 13 52 32.42325 
 
INTRODUCTION. 
 
 Tlic terms of the arguments of the inequalities which increase uniformly wilh the time are based on the 
 data of the following table : 
 
 Argument. 
 
 1 
 
 9 
 8 
 4 
 
 5 
 
 6 
 
 7 
 I 
 
 II 
 III 
 IV 
 
 Terms. 
 
 3T 
 
 U TT' 
 
 U ._M o 7.43 
 
 in iv 7.40 
 7,,, _ MIV 20. 50 
 
 i/ P f>Q 
 
 (I'jy 7T|y - J .^O 
 
 Miv _ ffm _ 5.53 
 
 M IV n 6.36 
 
 IV A IV . 6.36 
 
 MIV Am 6. 36 
 
 MIV AH 6. 36 
 
 Adopted value for first 
 
 INCMII COIIJ. 1880. 
 
 iT 8?4401 
 
 11 29.2893 
 
 9 11.8840 
 
 6 10.7138 
 
 4 8.7027 
 2 12.3656 
 1 19.9755 
 29.3739 
 
 5 4.3479 
 4 21.2573 
 10.8496 
 
 Motion for 
 t = 21. 
 
 29?2317 
 346.7584 
 317.5280 
 
 33.7389 
 
 356.8882 
 28.5616 
 26.7248 
 29.2341 
 
 29.9003 
 31.6942 
 
 40.8682 
 
 Motion for 
 i = 22. 
 
 306237 
 
 3.2707 
 
 332.6484 
 
 155.3456 
 
 253.8829 
 29.9216 
 27.9974 
 30.6262 
 
 31.3241 
 33.2035 
 42.8144 
 
 which is 
 
 > Longitude. 
 
 The remaining terms of the arguments depend on J, the great inequality of Jupiter ; and on < 
 employed by DE DAMOISEAU to represent " les perturbations en longitude " of Jupiter. 
 Let there be 
 
 <.'-, the sum of the equations from BOUVARD'S Tables* XIII XXVI, 
 
 -k, the sum of the constants added to these tables. 
 
 V'i, the sum of the equations from BOUVARD'S Tables XXVIII XXXVI, \ T> j- ector 
 
 -'&!, the sum of the constants added to these tables. 
 I then understand from DE DAMOISEAU, Introduction, page (ni), that 
 
 <4 = 4' 1'k, 
 
 that is, the "perturbations in longitude" (0) do not include the great inequality of Jupiter. 
 
 It was found, however, that in order to form the complete arguments of the inequalities of the satellites, as 
 DE DAMOISEAU appears to have done, it is necessary to add the great inequality. So that in the formulae for the 
 arguments alone, given on pages (iv), (v), (vn), (ix) of the Introduction to the Tables Ecliptiques, it is necessary 
 to write J-(- *> instead of <t> . 
 
 THE FORMATION OF TABLE III. 
 The Terms in ( J -f- <t> -\- 3 E ). In continuing Table III of each satellite, the values of J, <*, </>!, dr, <5 E, were 
 
 computed from BOUVARD'S Tables at half-year intervals, fa being equal to <!'\ 
 
 The results of this compu- 
 
 tation are presented in the following table. J and S E, columns the second and fifth, are expressed in centesimal 
 arc. J + <i> , column tho third, is expressed in sexagesimal arc. 
 
 Ik = 22' 11".5 (of centesimal arc), 
 = 0. 19903 (of sexagesimal arc). 
 
 rA- 1= 0.00730 
 
 Year and tenth. 
 
 J 
 
 J-H 
 
 *. + * 
 
 (!E 
 
 1880.0 B 
 
 + 29 56.6 
 
 + 0?12934 
 
 0.00165 
 
 -0 63"7 
 
 1880.5 B 
 
 29 49.2 
 
 0.14189 
 
 0.00318 
 
 19.1 
 
 1881.0 
 
 29 41.7 
 
 0.16411 
 
 0.00432 
 
 + 28.3 
 
 1881.5 
 
 29 34.3 
 
 0.19297 
 
 0.00497 
 
 72.9 
 
 1882.0 
 
 + 29 26.7 
 
 -f 0.22440 
 
 0.00499 
 
 + 1 11.6 
 
 * Tables Astronomifjiies publi6es par le Bureau des Longitudes de France, contenant les Tables de Jupiter, de Saturue et d'Uranus, 
 construites d'apr&s la Th6orie de la M6canique Celeste, par M. A. BOUVARD, Paris, 1821. 
 
10 
 
 INTRODUCTION. 
 
 Year mid ti-ntli. 
 
 J 
 
 J + <<> 
 
 * + dr 
 
 STt 
 
 1882.0 
 
 + 29 26.7 
 
 + 0?22440 
 
 0.00499 
 
 + i li'.c 
 
 1882 5 
 
 29 19.2 
 
 0.25309 
 
 - 0.00454 
 
 1 40.3 
 
 1883.0 
 
 29 11.6 
 
 0.27666 
 
 0.00363 
 
 1 579 
 
 1883.5 
 
 29 3.9 
 
 0.29263 
 
 0.00248 
 
 1 63.5 
 
 1884.0 B 
 
 28 96.3 
 
 0.30115 
 
 0.00120 
 
 1 57.5 
 
 1884.5 B 
 
 28 88.6 
 
 0.30277 
 
 + 0.00003 
 
 1 41.5 
 
 1885.0 
 
 + 28 80.9 
 
 + 0.29894 
 
 + 0.00115 
 
 + 1 16.0 
 
 1885.5 
 
 28 73.2 
 
 0.29088 
 
 0.00207 
 
 85.7 
 
 1886.0 
 
 28 65.3 
 
 0.27967 
 
 0.00275 
 
 49.4 
 
 1886.5 
 
 28 57.5 
 
 0.26640 
 
 0.00322 
 
 + 108 
 
 1887.0 
 
 28 49.6 
 
 0.25174 
 
 0.00343 
 
 29.3 
 
 1887.5 
 
 + 28 41.8 
 
 + 0.23672 
 
 + 0.00331 
 
 67.8 
 
 1888 B 
 
 28 33.9 
 
 0.22196 
 
 0.00295 1 4.0 
 
 1888.5 B 
 
 28 25.9 
 
 0.20897 
 
 000230 1 348 
 
 1889.0 
 
 28 17.9 
 
 0.19846 
 
 0.00142 1 58.6 
 
 1889.5 
 
 28 9.8 
 
 0.19210 
 
 + 0.00044 
 
 1 72.6 
 
 1890.0 
 
 + 28 1.8 
 
 + 0.19063 
 
 0.00068 
 
 1 75.5 
 
 1890.5 
 
 27 93.7 
 
 0.19467 
 
 - 0.00173 1 65.6 
 
 1891.0 
 
 27 85.6 
 
 0.20436 
 
 - 0.00270 1 42.0 
 
 1891.5 
 
 27 77.4 
 
 0.21906 
 
 0.00337 1 5.9 
 
 1892.0 B 
 
 27 69.2 
 
 0.23743 
 
 0.00377 59.5 
 
 1892.5 B 
 
 + 27 61.0 
 
 + 0.25788 
 
 0.00378 6.9 
 
 1893.0 
 
 27 52.7 
 
 0.27843 
 
 - 0.00348 +0 47.1 
 
 1893.5 
 
 27 44.4 
 
 0.29665 
 
 0.00292 96.9 
 
 1894.0 
 
 27 36.1 
 
 0.31058 
 
 0.00210 1 38.1 
 
 1894.5 
 
 27 27.7 
 
 0.31931 
 
 0.00122 
 
 1 67.5 
 
 1895.0 
 
 + 27 19.3 
 
 + 0.32211 
 
 0.00026 
 
 + 1 83.5 
 
 1895.5 
 
 27 10.9 
 
 0.31916 
 
 + 0.00063 1 86.0 
 
 1896.0 B 
 
 27 2.4 
 
 0.31155 
 
 0.00143 
 
 1 75.8 
 
 1896.5 B 
 
 26 93.9 
 
 0.30063 
 
 000203 
 
 1 54.4 
 
 1897.0 
 
 26 85.4 
 
 0.28779 
 
 0.00256 
 
 1 23.9 
 
 1897.5 
 
 + 26 76.8 
 
 + 0.27445 
 
 + 0.00285 
 
 + 86.5 
 
 1898.0 
 
 26 68.2 
 
 0.26148 
 
 0.00296 + 43.7 
 
 1898.5 
 
 26 59.6 
 
 0.24971 
 
 0.00282 0.4 
 
 1899.0 
 
 26 50.9 
 
 0.23996 
 
 0.00247 45.6 
 
 1899.5 
 
 26 42.2 
 
 0.23291 
 
 0.00185 89.0 
 
 1900.0 
 
 + 26 33.5 
 
 + 0.22939 
 
 + 0.00107 
 
 1 28.3 
 
 The mean synodic revolutions of the satellites are 
 
 I = 1.769860478875 
 II = 3.554094157794 
 
 III = 7.166387201355 
 
 IV =16.753552411222, 
 
 which are fifteen times the factors for ( J -j- <t> -\- 3 E ). The data already presented suffice for the computation 
 of Table III of the first satellite. 
 
 The Terms in ( 5 (7 2 ). These terms of Table III, satellites II, III, IV, are functions of the longitudes 
 of Jupiter and Saturn. 
 
 1880.0 ( 5 u 2 . 34.542 ) = 84.068 
 Daily motion of the angle (5w 2 ) = 0.00 1039596 
 
 During the period 18801900 this angle plus the constant is so near 90 that its sine varies very slowly, and 
 it will be sufficient to compute the terms involving its sine for every fifth year. 
 
INTRODUCTION. 
 
 11 
 
 II. III. 
 
 +(*)0.952sin(5 2 34.o42) +(*)2'.823iii(5ti 2 34.542) 
 
 1880.0 
 1885.0 
 1890.0 
 1895.0 
 1900.0 
 
 + 0.95 
 + 0.95 
 -j-0.95 
 -f 0.95 
 + 0.95 
 
 + 2.81 
 + 2.82 
 + 2.82 
 + 2.82 
 + 2.82 
 
 III. 
 
 + is" 50 
 + 15.54 
 + 15.57 
 + 15.58 
 + 15.57 
 
 The Terms in ( II A n ), ( II A,,, ), etc. These terms of Table III, satellites II, III, IV, are functions of the 
 longitude of the ascending node of the equator of Jupiter on its orbit, and of the longitudes of the ascending nodes 
 of the orbits of these satellites on their fixed planes. 
 
 1880.0 ( ii-A,, ) = 34K499 
 
 1880.0 ( n- A,,,) = 111.875 
 
 1880.0 (n-A,v) = 124.964 
 
 Daily motion of the angle (n A,, ) = 003306928964 
 Daily motion of the angle ( H Am) = 0.00699245908 
 Daily motion of the angle (H_AIV) = 0.00189341824 
 
 The angle (n A JV ) changes so slowly that the computation of the term involving ils sine for every fifth 
 year will suffice. The term in ( n Am) nas been computed partly at intervals of one, and partly at intervals of 
 two years. The term depending on (n AH) has been computed at half-year intervals. 
 
 
 . 
 
 III. 
 
 IV. 
 
 Year and tenth. 
 
 ( ')'.K731-sin( II A n ) 
 
 (*)5'.775sin(II Am) 
 
 + l(i".(i!)4 siii ( 11 Aiv) 
 
 
 B Dill 1 . 
 
 B Dill 1 . 
 
 8 Dift'. 
 
 1880.0 B 
 
 + 3.09 ,,,, 
 
 5.36 
 
 + 13.68 
 
 1880.5 B 
 
 2.10 ,02 
 
 10 
 
 
 1881.0 
 
 1.08 ,02 
 
 5.26 
 
 
 1881.5 
 
 + 0.06 ,02 
 
 11 
 
 
 1882.0 
 
 0.96 ]fll 
 
 5.15 
 
 
 1882.5 
 
 - 1-97 JOG 
 
 13 
 
 GO 
 
 1883.0 
 
 - 2.97 95 
 
 5.02 
 
 
 1883.5 
 
 3.92 92 
 
 13 
 
 
 1884.0 B 
 
 - 4.84 8C 
 
 4.89 
 
 
 1884.5 B 
 
 - 5 ' 70 80 
 
 
 
 1885.0 
 
 6.50 73 
 
 89 
 
 + 13.08 
 
 1885.5 
 
 7.23 f)4 
 
 
 
 1886.0 
 
 7.87 r,,; 
 
 4.60 
 
 
 1S86.5 
 
 8.43 I,,; 
 
 
 
 1887.0 
 
 - 8 ' 89 37 
 
 33 
 
 
 1887.5 
 
 9.26 w 
 
 
 65 
 
 1888.0 B 
 
 9.52 JB 
 
 4.27 
 
 
 1888.5 B 
 
 - 9.68 5 
 
 
 
 1889.0 
 
 9.73 G 
 
 37 
 
 
 1889.5 
 
 9.67 ](J 
 
 
 
 1890.0 
 
 9.51 07 
 
 3.90 
 
 + 12. 13 
 
 1890.5 
 
 - 9.24 38 
 
 
 
 1891.0 
 
 8.86 47 
 
 30 
 
 . 
 
 1891.5 
 
 H.39 r ( ; 
 
 
 
 1892.0 B 
 
 7.83 ( ' ir , 
 
 3.51 
 
 70 
 
 (*) This inequality is not givi'ii by the theory of Laplace. 
 
12 
 
 INTRODUCTION. 
 
 
 Year and tenth. 
 
 II. 
 
 III. 
 
 IV. 
 
 (*)9 8 .731 sin ( n An ) 
 
 (* ) 5 8 .775 sin ( n Am ) 
 
 + 16".694 sin ( n Aiv ) 
 
 
 H Biff. 
 
 s Biff. 
 
 a Biff. 
 
 1892.0 B 
 
 ' T^ 83 05 
 
 3.51 
 
 
 1892.5 B 
 
 - 7.18 74 
 
 
 70 
 
 1893.0 
 
 6.44 80 
 
 42 
 
 
 1893.5 
 
 5.64 87 
 
 
 
 1894.0 
 
 - 4.77 91 
 
 3.09 
 
 
 1894.5 
 
 3.86 gfi 
 
 
 
 1895.0 
 
 - 2.90 10 d 
 
 44 
 
 + 11.73 
 
 18955 
 
 - 1-90 101 
 
 
 
 1896.0 B 
 
 - 0.89 103 
 
 2.65 
 
 
 1896.5 B 
 
 + 0.14 ma 
 
 
 
 1897.0 
 
 L16 101 
 
 47 
 
 
 1897.5 
 
 + 2.17 oo 
 
 
 73 
 
 1898.0 
 
 3.16 (J5 
 
 2.18 
 
 
 1898.5 
 
 4.H 90 
 
 
 
 1899.0 
 
 5.01 8 5 
 
 4!) 
 
 
 1899.5 
 
 5.86 70 
 
 
 
 1900.0 
 
 + 6.65 
 
 1.69 
 
 -f 1100 
 
 My values of the "perturbations of Jupiter and other inequalities," Table III, for the epoch 1880.0, do not 
 agree precisely with those given by DE DAMOISEAU. 
 
 For farther comparison with his tables, I have computed, in this way, Table III of each satellite complete 
 for the years 1878 and 1879 ; and while the method is probably the one employed by DE DAMOISEAU, it does not 
 suffice to reproduce exactly his values of the perturbations (Table III) for these years. 
 
 The corrections necessary to reduce his values to such as have been computed in the manner indicated are as 
 follow : 
 
 Satellite 
 
 1878.0 
 1879.0 
 1880.0 
 
 I. 
 
 8 
 
 + I- 7 
 2.1 
 
 + 2.1 
 
 II. 
 
 + 2.5 
 
 3.1 
 
 + 3.5 
 
 III. 
 
 + 
 
 7.2 
 9.2 
 8.6 
 
 IV. 
 
 + 16*2 
 
 20.7 
 
 + 19.5 
 
 The discrepancy is traceable to the term 
 
 (J + P+.SE), 
 
 and (JE appears to have been reduced by DE DAMOISEAU from the epoch 1744.0; while the epoch of S E of 
 BOUVARD'S Tables is 1800.0. 
 
 The differences alluded to are less than the accidental errors of observation, and may be disregarded. 
 
 For^precepts for the use of the tables of the eclipses, the computer is referred lo the Introduction to the 
 Tab/t's Ediptiques, pages (x) (xvn). 
 
 Table A has been adapted from advance sheets of the American Ephemcrix and Nautical Almanac, for 1880, 
 and gives the longitudes of Observatories, Paris being the prime meridian. West longitudes are considered posi- 
 tive. To reduce the tabular instant of an eclipse to the mean solar astronomic time of any meridian having a 
 longitude A from Paris, it is necessary to apply the correction 
 
 -(* + 12"). 
 
 THE TABLES OF THE CONFIGURATIONS. Of the Tables for computing the configurations, Table I of each 
 satellite alone requires extension. 
 
 (*) This inequality is not given by tin- tiimry of Lupluce. 
 
INTRODUCTION. 13 
 
 The data for the continuation of the column "Mean longitude," are given by DE DAMOISEAU, Introduction, 
 page (in ). Whence there is derived the 
 
 Motion of ! in 365 days, 113.48258 
 Motion of v l in 366 days, 316.97157 
 Motion of MH in 365 days, 281.78815 
 Motion of ,, in 366 days, 23.16291 
 Motion of u m in 365 days, 5.94095 
 Motion of I;I in 366 days, 56.25860 
 Motion of w lv in 365 days, 313.45494 
 Motion of w lv in 366 days, 335.02605. 
 
 There was adopted, for the epoch 1880, January 1, Paris mean midnight, 
 
 w, =: 6 9?80 
 
 tt n = 4 3.87 
 
 , = 6 0.92 
 
 IV = 11 17.40 
 
 DE DAMOISEAU gives no explanation of the method of formation of the arguments of these tables. I have, 
 therefore, continued them by induction. 
 
 For precepts for the use of the tables of the configurations, the computer is referred to the Tables Ecliptiques, 
 pages (193) (199). 
 
 ERRORS IN DE DAMOISEAU'S Tables JScliptiques, etc. Through the courtesy of Mr. J. R. HIND, F. R. S., 
 the Superintendent of the British Nautical Almanac, and of Professor E. O. KENDALL, of the University of 
 Pennsylvania, I have been enabled to make the appended list of errors and corrections more complete than 
 it would otherwise have been. 
 
TABLES 
 
THE FIKST 
 
 TABLE I. 
 
 Epochs of the Mean Conjunctions 
 
 
 
 
 YEARS. 
 
 MEAN CONJUNCTIONS. 
 
 1 
 
 2 
 
 3 
 
 4 
 
 l);iys and parts of a day, 
 Paris mean civil time. 
 
 Fraction of 
 year. 
 
 1880 B 
 
 Jan. li in - 
 1 18 8 15.0 
 
 0.002 
 
 s. 
 1 1 8.759 
 
 " 
 
 11 29.91 
 
 9 12?32 
 
 4 24?05 
 
 
 1881 
 
 2 2 48 15.7 
 
 0.003 
 
 % 9.197 
 
 0.99 
 
 8 12.94 
 
 3 24.76 
 
 
 
 1882 
 
 1 16 59 40.4 
 
 0.002 
 
 1 9.488 
 
 0.34 
 
 7 11.93 
 
 8 24.74 
 
 
 
 1883 
 
 1 7 11 5.2 
 
 0.001 
 
 2 9.779 
 
 11 29.68 
 
 6 10.92 
 
 1 24.72 
 
 
 
 1884 B 
 
 2 15 51 5.8 
 
 0.004 
 
 3 10.217 
 
 0.76 
 
 5 11.55 
 
 25.42 
 
 
 
 1885 
 
 1 6 2 30.6 
 
 0.001 
 
 4 10.508 
 
 0.10 
 
 4 10.60 
 
 5 25.38 
 
 
 
 1886 
 
 2 14 42 31.3 
 
 0.004 
 
 5 10.946 
 
 1.19 
 
 3 11.27 
 
 4 26.05 
 
 
 
 1887 
 
 2 4 53 56.0 
 
 0.003 
 
 6 11.237 
 
 0.53 2 10.34 
 
 9 25.99 
 
 
 
 1888 B 
 
 1 19 5 20.8 
 
 0.002 
 
 7 11.528 
 
 11 29.87 
 
 1 9.42 
 
 2 25.93 
 
 
 
 1889 
 
 2 3 45 21.5 
 
 0.003 
 
 8 11.966 
 
 0.96 
 
 10.10 
 
 1 20.61 
 
 
 
 1890 
 
 1 17 56 46.2 
 
 0.002 
 
 9 12.257 
 
 0.30 
 
 11 9.15 
 
 6 26.56 
 
 
 
 1891 
 
 1 8 8 11.0 
 
 0.001 
 
 10 12.548 11 29.64 
 
 10 8.19 
 
 11 26.52 
 
 
 
 1892 B 
 
 2 16 48 11.7 
 
 0.005 
 
 11 12.986 
 
 0.72 
 
 9 8.80 10 27.2-2 
 
 
 
 1893 
 
 1 6 59 36.4 
 
 0.001 
 
 13.277 
 
 0.07 
 
 8 7.81 
 
 3 27.20 
 
 
 
 1894 
 
 2 15 39 37.1 
 
 0.004 
 
 1 13.715 1.15 
 
 7 8.43 
 
 2 27.90 
 
 
 
 1895 
 
 2 5 51 1.8 
 
 0.003 
 
 2 14.006 
 
 0.49 
 
 6 7.47 
 
 7 27.86 
 
 
 
 1896 B 
 
 1 20 2 26.6 
 
 0.002 
 
 3 14.297 
 
 11 29.83 
 
 5 6.53 
 
 27.81 
 
 
 
 1897 
 
 2 4 42 27.3 
 
 0.003 
 
 4 14.735 
 
 0.92 
 
 4 7.20 
 
 11 28.48 
 
 
 
 1898 
 
 1 18 53 52.0 
 
 0.002 
 
 5 15.026 
 
 0.26 
 
 3 6.28 
 
 4 28.43 
 
 
 
 1899 
 
 1 9 5 16.8 
 
 0.001 
 
 6 15.316 
 
 11 29.60 
 
 2 5.35 
 
 9 28.37 
 
 
 
 1900 
 
 2 17 45 17.5 
 
 0.005 
 
 7 15.754 
 
 0.69 1 6.00 8 29.05 
 
 
 
SATELLITE. 
 
 17 
 
 and the Arguments of the Inequalities. 
 
 
 
 
 
 
 
 
 
 
 
 
 
 YEARS. 
 
 5 
 
 6 
 
 1 
 
 8 
 
 9 
 
 I 
 
 II 
 
 III 
 
 
 
 1880 B 
 
 * 
 
 4 C.I 
 
 B. 
 
 1 20.3 
 
 
 
 2 12.0 
 
 * 
 
 7 28.0 
 
 " 
 
 7 5.0 
 
 p - 
 
 1 0.35 
 
 * 
 
 11.9 
 
 B - 
 
 4 22.2 
 
 
 
 1881 
 
 2 22.2 
 
 2 18.2 
 
 3 12.3 
 
 5 1.0 
 
 4 7.2 
 
 2 0.82 
 
 1 24.5 
 
 5 25.3 
 
 
 
 1882 
 
 4 7.2 
 
 3 10.0 
 
 4 12.0 
 
 2 3.8 
 
 1 7.5 
 
 3 1.18 
 
 3 0.9 
 
 28.2 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 1883 
 
 5 22.1 
 
 4 13.7 
 
 5 11.0 
 
 1 1 0.0 
 
 10 7.8 
 
 4 1.52 
 
 4 19.3 
 
 8 1.1 
 
 
 
 1884 B 
 
 4 8.2 
 
 5 11.0 
 
 11.4 
 
 8 9.0 
 
 7 9.5 
 
 5 1.99 
 
 1.9 
 
 9 4.1 
 
 
 
 1885 
 
 5 23.1 
 
 9.2 
 
 7 11.0 
 
 5 11.8 
 
 4 9.8 
 
 2.28 
 
 7 14.2 
 
 10 6.9 
 
 
 
 1880 
 
 4 9.1 
 
 7 7.1 
 
 8 10.7 
 
 2 15.3 
 
 1 11.4 
 
 7 2.70 
 
 8 20.8 
 
 11 9.9 
 
 
 
 1887 
 
 5 24.0 
 
 8 4.7 
 
 9 10.3 
 
 11 17.5 
 
 10 11.7 
 
 8 2.97 
 
 10 9.1 
 
 12.7 
 
 
 
 1888 B 
 
 7 8.9 
 
 9 2.4 
 
 10 9.9 
 
 8 19.7 
 
 7 12.0 
 
 9 3.24 
 
 11 21.4 
 
 1 15.0 
 
 
 
 1889 
 
 5 25.0 
 
 10 0.2 
 
 11 9.0 
 
 5 23.3 
 
 4 13.7 
 
 10 3.05 
 
 1 4.0 
 
 2 18.5 
 
 
 
 1890 
 
 7 9.9 
 
 10 27.9 
 
 9.2 
 
 2 25.5 
 
 1 14.0 
 
 11 3.94 
 
 2 1G.3 
 
 3 21.4 
 
 
 
 1891 
 
 8 24.8 
 
 11 25.0 
 
 I 8.8 
 
 11 27.7 
 
 10 14.3 
 
 4.25 
 
 3 28.7 
 
 4 24.2 
 
 
 
 1892 B 
 
 7 10.9 
 
 23.5 
 
 2 8.0 
 
 9 1.3 
 
 7 15.9 
 
 1 4.72 
 
 5 11.2 
 
 5 27.3 
 
 
 
 1893 
 
 8 25.8 
 
 1 21.2 
 
 3 8.2 
 
 3.5 
 
 4 16.2 
 
 2 5.0G 
 
 23.0 
 
 7 0.1 
 
 
 
 1894 
 
 7 11.9 
 
 2 19.1 
 
 4 8.0 
 
 3 7.0 
 
 1 17.8 
 
 3 5.53 
 
 8 0.2 
 
 8 3.2 
 
 
 
 1895 
 
 8 20.8 
 
 3 10.8 
 
 5 7.0 
 
 9.2 
 
 10 18.2 
 
 4 5.84 
 
 9 18.0 
 
 9 C.O 
 
 
 
 1890 B 
 
 10 11.8 
 
 4 14.5 
 
 7.2 
 
 9 11.4 
 
 7 18.5 
 
 5 0.12 
 
 1 1 0.9 
 
 10 8.9 
 
 
 
 1897 
 
 8 27.8 
 
 5 12.3 
 
 7 0.9 
 
 15.0 
 
 4 20.1 
 
 0.54 
 
 13.5 
 
 11 11.8 
 
 
 
 1898 
 
 10 12.7 
 
 9.9 
 
 8 0.5 
 
 3 17.2 
 
 1 20.1 
 
 7 0.81 
 
 1 25.8 
 
 14.7 
 
 
 
 1899 
 
 11 27.0 
 
 7 7.0 
 
 9 C.O 
 
 19.4 
 
 10 20.7 
 
 8 7.08 
 
 3 8.1 
 
 1 17.5 
 
 
 
 1900 
 
 10 13.0 
 
 8 5.4 
 
 10 5.8 
 
 9 23.0 
 
 7 22.4 
 
 9 7.51 
 
 4 20.7 
 
 2 20.5 
 
 
 
 
 
 
 
 
 
 
 
 
 
18 
 
 THE FIRST SATELLITE. 
 
 TABLE III. Perturbations of Jupiter and other Inequalities, 
 
 0.1179907 (J 
 
 E) + 493.2 (0, + Jr). 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 Year? and 
 tenths. 
 
 Perturb. 
 
 Diff. 
 
 Years and 
 
 tenths. 
 
 Perturb. 
 
 Diff. 
 
 Years and 
 tenths. 
 
 Perturb. 
 
 Diff. 
 
 Years and 
 lenths. 
 
 Perturb. 
 
 Diff. 
 
 
 
 
 m s 
 
 
 
 in s 
 
 
 
 Ill S 
 
 
 
 m s 
 
 
 
 
 1880.0 
 
 51.7 
 
 s 
 
 1883.0 
 
 2 1.7 
 
 s 
 
 1886.0 
 
 2 2.1 
 
 s 
 
 1889.0 
 
 1 19.0 
 
 s 
 
 
 
 
 
 +0.8 
 
 
 
 +1.9 
 
 
 
 -1.3 
 
 
 
 -1.0 
 
 
 
 1 
 
 52.5 
 
 
 1 
 
 2 3.6 
 
 
 1 
 
 2 0.8 
 
 
 1 
 
 1 18.0 
 
 
 
 
 
 
 1.1 
 
 
 
 1.6 
 
 
 
 -1.4 
 
 
 
 -0.8 
 
 
 
 2 
 
 53.6 
 
 
 2 
 
 2 5.2 
 
 
 2 
 
 1 59.4 
 
 
 2 
 
 1 17.2 
 
 
 
 
 
 
 1.3 
 
 
 
 1.6 
 
 
 
 -1.4 
 
 
 
 -0.8 
 
 
 
 3 
 
 54.9 
 
 
 3 
 
 2 0.8 
 
 
 3 
 
 1 58.0 
 
 
 3 
 
 1 16.4 
 
 
 
 
 
 
 1.4 
 
 
 
 1.4 
 
 
 
 -1.4 
 
 
 
 -0.6 
 
 
 
 4 
 
 56.3 
 
 
 4 
 
 2 8.2 
 
 
 4 
 
 1 56.6 
 
 
 4 
 
 1 15.8 
 
 
 
 
 
 
 +1.7 
 
 
 
 +1.2 
 
 
 
 -1.5 
 
 
 
 -0.6 
 
 
 
 5 
 
 58.0 
 
 
 5 
 
 2 9.4 
 
 
 5 
 
 1 55.1 
 
 
 5 
 
 1 15.2 
 
 
 
 
 
 
 
 
 
 1.1 
 
 
 
 -1.5 
 
 
 
 -0.5 
 
 
 
 
 
 59.8 
 
 1.8 
 
 6 
 
 2 10.5 
 
 
 6 
 
 1 53.0 
 
 
 
 
 1 14.7 
 
 
 
 
 
 
 o n 
 
 
 
 0.9 
 
 
 
 -1.5 
 
 
 
 -0.3 
 
 
 
 7 
 
 1 1.8 
 
 IM) 
 
 7 
 
 2 11.4 
 
 
 7 
 
 1 52.1 
 
 
 7 
 
 1 14.4 
 
 
 
 
 
 
 
 
 
 0.8 
 
 
 
 -1.5 
 
 
 
 -rO.3 
 
 
 
 8 
 
 1 3.9 
 
 1 
 
 8 
 
 2 12.2 
 
 
 8 
 
 1 50.0 
 
 
 8 
 
 1 14.1 
 
 
 
 
 
 
 
 
 
 0.6 
 
 
 
 
 
 
 -0.2 
 
 
 
 9 
 
 1 0.2 
 
 !.J 
 
 9 
 
 2 12.8 
 
 
 9 
 
 1 49.1 
 
 
 9 
 
 1 13.9 
 
 
 
 
 
 
 , +2.5 
 
 
 
 +0.5 
 
 
 
 -1.6 
 
 
 
 0.0 
 
 
 
 1881.0 
 
 8.7 
 
 
 1884.0 
 
 2 13.3 
 
 
 1887.0 
 
 1 47.5 
 
 
 1890.0 
 
 1 13.9 
 
 
 
 
 
 
 
 
 
 0.4 
 
 
 
 1.6 
 
 
 
 +0.1 
 
 
 
 1 
 
 11.9 
 
 <i.o 
 
 1 
 
 2 13.7 
 
 
 1 
 
 1 45.9 
 
 
 j 
 
 1 14.0 
 
 
 
 
 
 
 
 
 
 0.3 
 
 
 
 1.6 
 
 
 
 0.2 
 
 
 
 2 
 
 13.9 
 
 y.v 
 
 2 
 
 2 14.0 
 
 
 2 
 
 1 44.3 
 
 
 2 
 
 1 14.2 
 
 
 
 
 
 
 
 
 
 +0.1 
 
 
 
 1.6 
 
 
 
 0.3 
 
 
 
 3 
 
 16.6 
 
 y. / 
 
 3 
 
 2 14.1 
 
 
 3 
 
 1 42.7 
 
 
 3 
 
 1 14.5 
 
 
 
 
 
 
 o o 
 
 
 
 0.0 
 
 
 
 -1.6 
 
 
 
 0.5 
 
 
 
 4 
 
 19.5 
 
 y.y 
 
 4 
 
 2 14.1 
 
 
 4 
 
 1 41.1 
 
 
 4 
 
 1 15.0 
 
 
 
 
 
 
 +2.9 
 
 
 
 -0.1 
 
 
 
 -1.6 
 
 
 
 +0.5 
 
 
 
 5 
 
 1 2.U 
 
 
 5 
 
 2 14.0 
 
 
 5 
 
 1 39.5 
 
 
 5 
 
 1 15.5 
 
 
 
 
 
 
 3.0 
 
 
 
 -0.2 
 
 
 
 1.6 
 
 
 
 0.7 
 
 
 
 6 
 
 1 25.4 
 
 2.9 
 
 6 
 
 2 13.8 
 
 -0.3 
 
 6 
 
 1 37.9 
 
 1.5 
 
 6 
 
 1 16.2 
 
 0.8 
 
 
 
 7 
 
 1 28.3 
 
 
 7 
 
 2 13.5 
 
 
 7 
 
 1 36.4 
 
 
 7 
 
 1 17.0 
 
 
 
 
 
 
 3.1 
 
 
 
 -0.4 
 
 
 
 -1.6 
 
 
 
 0.9 
 
 
 
 8 
 
 1 31.4 
 
 
 8 
 
 2 13.1 
 
 
 8 
 
 1 34.8 
 
 
 8 
 
 1 17.9 
 
 
 
 
 
 
 2.8 
 
 
 
 0.5 
 
 
 
 1.5 
 
 
 
 1.0 
 
 
 
 9 
 
 1 34.2 
 
 
 9 
 
 2 12.6 
 
 
 9 
 
 1 33.3 
 
 
 9 
 
 1 18.9 
 
 
 
 
 
 
 +2.9 
 
 
 
 -0.6 
 
 
 
 -1.5 
 
 
 
 + 1.1 
 
 
 
 188-2.0 
 
 1 37.1 
 
 2.8 
 
 1885.0 
 
 2 12.0 
 
 -0.7 
 
 1888.0 
 
 1 31.8 
 
 -1.5 
 
 1891.0 
 
 1 20.0 
 
 1.3 
 
 
 
 1 
 
 1 39.9 
 
 
 1 
 
 2 11.3 
 
 
 1 
 
 1 30.3 
 
 
 1 
 
 1 21.3 
 
 
 
 
 
 
 2.9 
 
 
 
 -0.8 
 
 
 
 1.5 
 
 
 
 1.4 
 
 
 
 2 
 
 1 42.8 
 
 
 2 
 
 2 10.5 
 
 
 2 
 
 1 28.8 
 
 
 2 
 
 1 22.7 
 
 
 
 
 
 
 2.7 
 
 
 
 0.8 
 
 
 
 1.4 
 
 
 
 1.5 
 
 
 
 3 
 
 1 45.5 
 
 
 3 
 
 2 9.7 
 
 
 3 
 
 1 27.4 
 
 
 3 
 
 1 24.2 
 
 
 
 
 
 
 
 
 
 -0.9 
 
 
 
 1.4 
 
 
 
 1.5 
 
 
 
 4 
 
 1 48.2 
 
 
 4 
 
 2 8.8 
 
 
 4 
 
 1 26.0 
 
 
 4 
 
 1 25.7 
 
 
 
 
 
 
 +2.5 
 
 
 
 -1.0 
 
 
 
 -1.3 
 
 
 
 +1.6 
 
 
 
 5 
 
 1 50.7 
 
 
 5 
 
 2 7.8 
 
 
 5 
 
 1 24.7 
 
 
 5 
 
 1 27.3 
 
 
 
 
 
 
 2.5 
 
 
 
 -1.0 
 
 
 
 -1.3 
 
 
 
 1.8 
 
 
 
 6 
 
 1 53.2 
 
 
 6 
 
 2 6.8 
 
 
 6 
 
 1 23.4 
 
 
 6 
 
 1 29.1 
 
 
 
 
 
 
 2.3 
 
 
 
 I.I 
 
 
 
 1.2 
 
 
 
 1.8 
 
 
 
 7 
 
 1 55.5 
 
 2.2 
 
 7 
 
 2 5.7 
 
 -1.2 
 
 7 
 
 1 22.2 
 
 -1.1 
 
 7 
 
 1 30.9 
 
 1.9 
 
 
 
 8 
 
 1 57.7 
 
 
 8 
 
 2 4.5 
 
 
 8 
 
 1 21.1 
 
 
 8 
 
 1 32.8 
 
 
 
 
 
 
 2.1 
 
 
 
 1.2 
 
 
 
 -1.1 
 
 
 
 1.9 
 
 
 
 9 
 
 1 59.8 
 
 
 9 
 
 2 3.3 
 
 
 9 
 
 1 20.0 
 
 
 9 
 
 1 34.7 
 
 
 
 
 
 
 +1.9 
 
 
 
 -1.2 
 
 
 
 -1.0 
 
 
 
 +2.0 
 
 
 
 1883.0 
 
 2 1.7 
 
 
 1886.0 
 
 2 2.1 
 
 
 1889.0 
 
 1 19.0 
 
 
 1892.0 
 
 1 36.7 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
THE FIRST SATELLITE. 
 
 19 
 
 TABLE III. Perturbations of Jupiter and other Inequalities. 
 
 0.1 179907 (J + -f- eJ E) + 493.2 (^ + S r). 
 
 
 
 
 Years and 
 tenths. 
 
 Perturb. 
 
 Diff. 
 
 Will's :mil 
 tenths. 
 
 IVrtiu-li. 
 
 Diff. 
 
 Yearn :ui<l 
 tenths. 
 
 Perturb. 
 
 Diff. 
 
 Years and 
 tentlis. 
 
 Perturb. 
 
 Diff. 
 
 
 
 in s 
 
 
 
 Ill S 
 
 
 
 Ill S 
 
 
 
 in s 
 
 
 
 
 1893.0 
 
 1 30.7 
 
 s 
 +3.1 
 
 1894.0 
 
 2 JO.I 
 
 s 
 
 +1.3 
 
 1890.0 
 
 2-19.8 
 
 s 
 -0.9 
 
 1898.0 
 
 1 54.2 
 
 s 
 -1.4 
 
 
 
 1 
 
 1 38.8 
 
 a.i 
 
 1 
 
 2 17.4 
 
 i .a 
 
 1 
 
 2 18.9 
 
 -1.0 
 
 1 
 
 1 52.8 
 
 -1.4 
 
 
 
 2 
 
 1 40.9 
 
 S.9 
 
 2 
 
 2 18.0 
 
 j.i 
 
 2 
 
 2 17.9 
 
 -1.0 
 
 2 
 
 1 51.4 
 
 -1.3 
 
 
 
 a 
 
 1 43.1 
 
 S.I 
 
 3 
 
 2 19.7 
 
 0.9 
 
 3 
 
 2 10.9 
 
 -1.1 
 
 3 
 
 1 50.1 
 
 -1.4 
 
 
 
 4 
 
 1 45.2 
 
 
 4 
 
 2 20.0 
 
 
 4 
 
 2 15.8 
 
 
 4 
 
 1 48.7 
 
 
 
 
 
 
 +2.2 
 
 
 
 +0.8 
 
 
 
 -1.2 
 
 
 
 -1.3 
 
 
 
 5 
 
 1 47.4 
 
 2.2 
 
 5 
 
 2 21.4 
 
 0.7 
 
 5 
 
 2 14.6 
 
 -1.2 
 
 5 
 
 I 47.4 
 
 -1.2 
 
 
 
 C 
 
 1 49.C 
 
 2.2 
 
 
 
 2 2-2.1 
 
 0.6 
 
 
 
 2 13.4 
 
 -1.3 
 
 
 
 1 40.2 
 
 -1.3 
 
 
 
 7 
 
 1 51.8 
 
 S.3 
 
 7 
 
 2 22.7 
 
 0.5 
 
 7 
 
 2 12.2 
 
 -1.3 
 
 7 
 
 1 44.9 
 
 -1.3 
 
 
 
 8 
 
 1 54.0 
 
 2.2 
 
 8 
 
 2 23.2 
 
 o.:) 
 
 8 
 
 2 10.9 
 
 -1.3 
 
 8 
 
 1 43.7 
 
 -1.2 
 
 
 
 9 
 
 1 50.2 
 
 
 . 9 
 
 2 23.5 
 
 
 9 
 
 2 9.0 
 
 
 9 
 
 1 42.5 
 
 
 
 
 
 
 +2.1 
 
 
 
 +0.2 
 
 
 
 -1.3 
 
 
 
 -1.1 
 
 
 
 1893.0 
 
 1 58.3 
 
 2.1 
 
 1895.0 
 
 2 23.7 
 
 +0.1 
 
 1897.0 
 
 2 8.3 
 
 -1.4 
 
 1899.0 
 
 1 41.4 
 
 -1.1 
 
 
 
 1 
 
 2 0.4 
 
 a.i 
 
 1 
 
 2 23.8 
 
 0.0 
 
 1 
 
 2 0.9 
 
 -1.4 
 
 1 
 
 1 40.3 
 
 -1.0 
 
 
 
 2 
 
 2 2.5 
 
 a.o 
 
 2 
 
 2 23.8 
 
 -0.2 
 
 2 
 
 2 5.5 
 
 -1.4 
 
 2 
 
 1 39.3 
 
 -1.0 
 
 
 
 3 
 
 2 4.5 
 
 1.9 
 
 3 
 
 2 23.0 
 
 -0.3 
 
 3 
 
 2 4.1 
 
 -1.4 
 
 3 
 
 1 38.3 
 
 -1.0 
 
 
 
 4 
 
 2 6.4 
 
 
 4 
 
 2 23.3 
 
 
 4 
 
 2 2.7 
 
 
 4 
 
 1 37.3 
 
 
 
 
 
 
 +1.8 
 
 
 
 -0.3 
 
 
 
 -1.4 
 
 
 
 -0.9 
 
 
 
 5 
 
 2 8.2 
 
 1.8 
 
 5 
 
 2 23.0 
 
 -0.5 
 
 5 
 
 2 1.3 
 
 -1.4 
 
 5 
 
 1 30.4 
 
 -0.8 
 
 
 
 6 
 
 2 10.0 
 
 1.7 
 
 6 
 
 2 22.5 
 
 -0.5 
 
 
 
 1 59.9 
 
 -1.4 
 
 
 
 1 35.0 
 
 -0.7 
 
 
 
 7 
 
 2 11.7 
 
 1.6 
 
 7 
 
 2 22.0 
 
 -0.7 
 
 7 
 
 1 58.5 
 
 -1.5 
 
 7 
 
 1 34.9 
 
 -0.7 
 
 
 
 8 
 
 2 133 
 
 1.5 
 
 8 
 
 2 21.3 
 
 -0.7 
 
 8 
 
 1 57.0 
 
 -1.4 
 
 8 
 
 1 34.2 
 
 -0.6 
 
 
 
 9 
 
 2 14.8 
 
 
 9 
 
 2 20.0 
 
 
 9 
 
 1 55.0 
 
 
 9 
 
 1 33.0 
 
 
 
 
 
 
 +1.3 
 
 
 
 -0.8. 
 
 
 
 -1.4 
 
 
 
 -0.5 
 
 
 
 1894.0 
 
 2 1C.1 
 
 
 1896.0 
 
 2 19.8 
 
 
 1898.0 
 
 1 54.2 
 
 
 1900.0 
 
 1 33.1 
 
 
 
 
 
20 
 
 THE SECOND 
 
 TABLE I. 
 
 Epochs of the Mean Conjunctions 
 
 
 YEAUS. 
 
 MEAN COXJUNCTIONS. 
 
 1 
 
 2 
 
 3 
 
 4 
 
 
 Dave and parts of a day, 
 Paris mean civil time. 
 
 Fraction of 
 year. 
 
 1880 B 
 
 Jan. h m s 
 3 4 1 1,0 
 
 0.006 
 
 ^- 
 
 11 8.879 
 
 B. o 
 
 1.34 
 
 B. o 
 
 9 13.63 
 
 s. 
 1 24.63 
 
 1881 
 
 3 5 44 15,7 
 
 0,006 
 
 9.293 
 
 2.14 
 
 8 13.98 
 
 25.21 
 
 
 1882 
 
 4 7 27 30,5 
 
 0.009 
 
 1 9.707 
 
 2.94 
 
 7 14.31 
 
 11 25.81 
 
 
 1883 
 
 1 19 52 51,5 
 
 0.002 
 
 2 9.826 
 
 0.23 
 
 6 11.43 
 
 4 24.94 
 
 
 1884 B 
 
 2 21 36 6.2 
 
 0.005 
 
 3 10.240 
 
 1.03 
 
 5 11.80 
 
 3 25.52 
 
 
 1885 
 
 2 23 19 20.9 
 
 0.005 
 
 4 10.654 
 
 1.83 
 
 4 12.18 
 
 2 26.08 
 
 
 1886 
 
 4 1 2 35,6 
 
 0.008 
 
 5 11.068 
 
 2.64 
 
 3 12.59 
 
 1 20.64 
 
 
 1887 
 
 1 13 27 56,6 
 
 0.001 
 
 6 11.187 
 
 11 29.93 
 
 2 9.80 
 
 6 25.72 
 
 
 1888 B 
 
 2 15 11 11.4 
 
 0.004 
 
 7 11.601 
 
 0.73 
 
 1 10.21 
 
 5 20.27 
 
 
 1889 
 
 2 16 54 26.1 
 
 0.005 
 
 8 12.015 
 
 1.53 
 
 10.02 
 
 4 20.83 
 
 
 1890 
 
 3 18 37 40.8 
 
 0.008 
 
 9 J 2.429 
 
 2.33 
 
 11 11.02 
 
 3 27.39 
 
 
 1891 
 
 1 7 3 1.8 
 
 0.001 
 
 10 12.548 
 
 11 29.63 
 
 10 8.18 
 
 8 20.50 
 
 
 1892 B 
 
 2 8 46 16.6 
 
 0.004 
 
 11 12.961 
 
 0.43 
 
 9 8.53 
 
 7 27.08 
 
 
 1893 
 
 2 10 29 31.3 
 
 0.004 
 
 13.375 
 
 1.23 
 
 8 8.88 
 
 6 27.67 
 
 
 1894 
 
 3 12 12 46.0 
 
 0.007 
 
 1 13.789 
 
 2.03 
 
 7 9.23 
 
 5 28.25 
 
 
 1895 
 
 4 13 56 0.7 
 
 0.010 
 
 2 14.203 
 
 2.83 
 
 6 9.61 
 
 4 28.82 
 
 
 1896 B 
 
 2 2 21 21.7 
 
 0.003 
 
 3 14.322 
 
 0.13 
 
 5 0.80 
 
 9 27.92 
 
 
 1897 
 
 2 44 36.5 
 
 0.003 
 
 4 14.736 
 
 0.93 
 
 4 7.21 
 
 8 28.47 
 
 
 1898 
 
 3 5 47 51.2 
 
 0.006 
 
 5 15.150 
 
 1.73 
 
 3 7.62 
 
 7 29.02 
 
 
 1899 
 
 4 7 31 5.9 
 
 0.009 
 
 6 15.503 
 
 2.53 
 
 2 8.03 
 
 6 29.58 
 
 
 1900 
 
 1 19 56 26.9 
 
 0.002 
 
 7 15.682 
 
 11 29.83 
 
 1 5.22 . 
 
 11 28.67 
 
 
 
SATELLITE. 
 
 -21 
 
 and the Arguments of the Inequalities. 
 
 
 
 
 VK.VUS. 
 
 5 
 
 6 
 
 7 
 
 8 
 
 I 
 
 II 
 
 
 
 III 
 
 IV 
 
 1880 B 
 
 R. o 
 
 1 20.2 
 
 . 
 
 2 12.7 
 
 s - 
 
 7 29.1 
 
 s. 
 7 G.G 
 
 S. o 
 
 1 0.46 
 
 s. 
 12.05 
 
 S. o 
 
 4 22.4 
 
 * o 
 5 5.4 
 
 
 1881 
 
 2 18.) 
 
 3 12.4 
 
 5 2.4 
 
 4 8.1 
 
 2 0.92 
 
 1 24.01 
 
 5 25.4 
 
 G.G 
 
 
 
 1882 
 
 3 15.9 
 
 4 12.2 
 
 2 5.8 
 
 1 9.5 
 
 3 1.39 
 
 3 7.19 
 
 28.4 
 
 7 7.8 
 
 
 
 1883 
 
 4 13.5 
 
 5 11.7 
 
 11 G.4 
 
 10 8.2 
 
 4 1.57 
 
 4 19.35 
 
 8 1.1 
 
 8 8.0 
 
 
 
 1884 B 
 
 5 11.3 
 
 G 11.4 
 
 8 9.8 
 
 7 9.7 
 
 5 2.01 
 
 G 1.90 
 
 9 4.1 
 
 9 9.7 
 
 
 
 1885 
 
 C 9.2 
 
 7 11.2 
 
 5 13.1 
 
 4 11. 1 
 
 G 2.42 
 
 7 14.42 
 
 10 7.1 
 
 10 10.8 
 
 
 
 188G 
 
 7 C.9 
 
 8 10.8 
 
 2 1C.4 
 
 1 12.5 
 
 7 2.82 
 
 8 2G.93 
 
 11 10.0 
 
 11 11.9 
 
 
 
 1887 
 
 8 4.4 
 
 9 10.2 
 
 11 17.1 
 
 10 11.3 
 
 8 2.92 
 
 10 9.01 
 
 12.7 
 
 12.7 
 
 
 
 1888 B 
 
 9 2.2 
 
 10 9.9 
 
 8 20.4 
 
 7 12.7 
 
 9 3.30 
 
 11 21.50 
 
 1 15.0 
 
 1 13.8 
 
 
 
 1889 
 
 10 0.0 
 
 11 9.C 
 
 5 23.7 
 
 4 14.1 
 
 10 3.70 
 
 1 4.00 
 
 2 18.0 
 
 2 14.9 
 
 
 
 1890 
 
 10 27.8 
 
 9.3 
 
 2 27.0 
 
 1 15.5 
 
 11 4.11 
 
 2 10.52 
 
 3 21. G 
 
 3 10.0 
 
 
 
 1891 
 
 11 25.4 
 
 1 8.8 
 
 11 27.7 
 
 10 14.3 
 
 4.24 
 
 3 28.G4 
 
 4 24.2 
 
 4 10.8 
 
 
 
 1892 B 
 
 23.2 
 
 2 8.5 
 
 9 1.0 
 
 7 15.7 
 
 1 4.09 
 
 5 11.20 
 
 5 27.2 
 
 5 18.0 
 
 
 
 1893 
 
 1 21.0 
 
 3 8.3 
 
 G 4.4 
 
 4 17.1 
 
 2 5.15 
 
 C 23.70 
 
 7 0.2 
 
 G 19.1 
 
 
 
 1894 
 
 2 18.9 
 
 4 8.0 
 
 3 7.7 
 
 1 18.5 
 
 3 5.CO 
 
 8 G.32 
 
 8 3.3 
 
 7 20.2 
 
 
 
 1895 
 
 3 1(1.7 
 
 5 7.8 
 
 11.0 
 
 10 19.9 
 
 4 G.03 
 
 9 18.85 
 
 9 G.2 
 
 8 21.4 
 
 
 
 189C B 
 
 4 14.2 
 
 G 7.2 
 
 9 11.7 
 
 7 18.7 
 
 5 G.14 
 
 11 0.95 
 
 10 8.9 
 
 9 22.2 
 
 
 
 1897 
 
 5 12.0 
 
 7 G.9 
 
 G 15.0 
 
 4 20.1 
 
 G G.54 
 
 13.45 
 
 11 11.8 
 
 10 23.3 
 
 
 
 1898 
 
 9.8 
 
 8 6.G 
 
 3 18.3 
 
 1 21.5 
 
 7 G.93 
 
 1 25.95 
 
 14.8 
 
 11 24.3 
 
 
 
 1893 
 
 7 7.0 
 
 9 G.3 
 
 21. G 
 
 10 22.9 
 
 8 7.32 
 
 3 8.45 
 
 1 17.8 
 
 25.4 
 
 
 
 1900 
 
 8 5.1 
 
 10 5.7 
 
 9 22.3 
 
 7 21.7 
 
 9 7.43 
 
 4 20.55 
 
 2 20.4 
 
 1 20.2 
 
 
 
22 
 
 THE SECOND SATELLITE. 
 
 TABLE III. Perturbations of Jupiter and other Inequalities. 
 
 0,2369396 ( J + ^ + <5E) + 493.2 (ft + <?) + (*) 0.952 sin (5u 2 34.542) (*) 9.731 sin ( II A,, ). 
 
 
 
 Diff. 
 
 
 Years and 
 tenths. 
 
 Perturb. 
 
 Diff. 
 
 Years and 
 tenths. 
 
 Perturb. 
 
 Diff. 
 
 Years and 
 U'Mtlis. 
 
 Perturb. 
 
 Piff. 
 
 Years and 
 tenths. 
 
 Perturb. 
 
 
 
 m s 
 
 
 
 m s 
 
 
 
 in s 
 
 
 
 m s 
 
 
 
 
 1880.0 
 
 1 48.7 
 
 s 
 +1.7 
 
 1883.0 
 
 4 4.3 
 
 R 
 
 +3.3 
 
 1886.0 
 
 3 56.8 
 
 s 
 
 -2.8 
 
 1889.0 
 
 2 29.1 
 
 8 
 
 -1.8 
 
 
 
 1 
 
 1 50.4 
 
 
 1 
 
 4 7.6 
 
 
 1 
 
 3 54.0 
 
 
 1 
 
 2 27.3 
 
 
 
 
 
 
 2.0 
 
 
 
 3.1 
 
 
 
 2.9 
 
 
 
 1.6 
 
 
 
 2 
 
 1 52.4 
 
 
 2 
 
 4 10.7 
 
 
 2 
 
 3 51.1 
 
 
 2 
 
 2 25.7 
 
 
 
 
 
 
 2.5 
 
 
 
 2.7 
 
 
 
 -2.9 
 
 
 
 1.4 
 
 
 
 3 
 
 1 54.9 
 
 
 3 
 
 4 13.4 
 
 
 3 
 
 3 48.2 
 
 
 3 
 
 2 24.3 
 
 
 
 
 
 
 2.9 
 
 
 
 2.5 
 
 
 
 -3.0 
 
 
 -1.2 
 
 
 
 4 
 
 1 57.8 
 
 
 4 
 
 4 15.9 
 
 
 4 
 
 3 45.2 
 
 
 4 | 2 23.1 
 
 
 
 
 
 
 +3.3 
 
 
 
 +2.2 
 
 
 
 -3.1 
 
 
 -1.0 
 
 
 
 5 
 
 2 1.1 
 
 
 5 
 
 4 18.1 
 
 
 r 
 
 3 42.1 
 
 
 5 ! 2 22.1 
 
 
 
 
 
 
 3.6 
 
 
 
 1.7 
 
 
 
 3.1 
 
 
 
 0.8 
 
 
 
 6 
 
 2 4.7 
 
 
 6 
 
 4 19.8 
 
 
 G 
 
 3 39.0 
 
 
 (] 
 
 2 21.3 
 
 
 
 
 
 
 3.9 
 
 
 
 1.8 
 
 
 
 3.1 
 
 
 
 0.6 
 
 
 
 7 
 
 2 8.6 
 
 
 7 
 
 4 21.4 
 
 
 7 
 
 3 35.9 
 
 
 7 
 
 2 20.7 
 
 
 
 
 
 
 4.3 
 
 
 
 1.3 
 
 
 
 -3.2 
 
 
 
 0.4 
 
 
 
 8 
 
 2 12.8 
 
 
 8 
 
 4 22.7 
 
 
 8 
 
 3 32.7 
 
 
 8 
 
 2 20.3 
 
 
 
 
 
 
 4.5 
 
 
 
 1.0 
 
 
 
 -3.2 
 
 
 
 0.2 
 
 
 
 9 
 
 2 17.3 
 
 
 9 
 
 4 23.7 
 
 
 9 
 
 3 29.5 
 
 
 
 
 2 20.1 
 
 
 
 
 
 
 +4.8 
 
 
 
 +0.8 
 
 
 
 -3.3 
 
 
 
 +0.1 
 
 
 
 1881.0 
 
 2 22.1 
 
 
 18810 
 
 4 24.5 
 
 
 1887.0 
 
 3 26.2 
 
 
 1890.0 
 
 2 20.2 
 
 
 
 
 
 
 5.0 
 
 
 
 0.4 
 
 
 
 -3.2 
 
 
 
 0.3 
 
 
 
 1 
 
 2 27.1 
 
 5.2 
 
 1 
 
 4 24.9 
 
 +0.2 
 
 1 
 
 3 23.0 
 
 -3.3 
 
 1 
 
 2 20.5 
 
 0.6 
 
 
 
 2 
 
 2 32.3 
 
 
 2 
 
 4 25.1 
 
 
 2 
 
 3 19.7 
 
 
 2 
 
 2 21.1 
 
 
 
 
 
 
 5.4 
 
 
 
 0.0 
 
 
 
 -3.3 
 
 
 0.8 
 
 
 
 3 
 
 2 37.7 
 
 
 3 
 
 4 25.1 
 
 
 3 
 
 3 16.4 
 
 
 3 2 21.9 
 
 
 
 
 
 
 5.6 
 
 
 
 -0.2 
 
 
 
 -3.3 
 
 
 1.0 
 
 
 
 4 
 
 2 43.3 
 
 
 4 
 
 4 24.9 
 
 
 4 
 
 3 13.1 
 
 
 4 2 22.9 
 
 
 
 
 
 
 +5.7 
 
 
 
 -0.5 
 
 
 
 -3.2 
 
 
 +1.3 
 
 
 
 5 
 
 2 49.0 
 
 
 5 
 
 4 24.4 
 
 
 5 
 
 3 9.9 
 
 
 5 ! 2 24.2 
 
 
 
 
 
 
 5.7 
 
 
 
 -0.7 
 
 
 
 -3.2 
 
 
 
 1.6 
 
 
 
 6 
 
 2 54.7 
 
 
 6 
 
 4 23.7 
 
 
 6 
 
 3 6.7 
 
 
 6 
 
 2 25.8 
 
 
 
 
 
 
 5.7 
 
 
 
 -0.9 
 
 
 
 -3.2 
 
 
 
 1.7 
 
 
 
 7 
 
 3 0.4 
 
 
 7 
 
 4 22.8 
 
 
 7 
 
 3 3.5 
 
 
 7 
 
 2 27.5 
 
 
 
 
 
 
 5.7 
 
 
 
 -1.1 
 
 
 
 -3.1 
 
 
 
 2.0 
 
 
 
 8 
 
 3 'G.I 
 
 
 8 
 
 4 21.7 
 
 
 8 
 
 3 0.4 
 
 
 8 
 
 2 29.5 
 
 
 
 
 
 
 5.7 
 
 
 
 -1.3 
 
 
 
 -3.1 
 
 
 
 2.2 
 
 
 
 9 
 
 3 11.8 
 
 
 9 
 
 4 20.4 
 
 
 9 
 
 2 57.3 
 
 
 9 
 
 2 31.7 
 
 
 
 
 
 
 +5.6 
 
 
 
 -1.5 
 
 
 
 -3.1 
 
 
 
 +3.5 
 
 
 
 1882.0 
 
 3 17.4 
 
 5.5 
 
 1885.0 
 
 4 18.9 
 
 -1.6 
 
 1888.0 
 
 2 54 .2 
 
 -2.9 
 
 1891.0 
 
 2 34.2 
 
 2.7 
 
 
 
 1 
 
 3 22.9 
 
 
 1 
 
 4 17.3 
 
 
 1 
 
 2 51.3 
 
 
 1 
 
 2 36.9 
 
 
 
 
 
 
 5.5 
 
 
 
 -1.8 
 
 
 
 -2.9 
 
 
 
 2.9 
 
 
 
 2 
 
 3 28.4 
 
 5.2 
 
 2 
 
 4 15.5 
 
 -1.9 
 
 2 
 
 2 48.4 
 
 -2.8 
 
 2 
 
 2 39.8 
 
 3.1 
 
 
 
 3 
 
 3 33.0 
 
 
 3 
 
 4 33.6 
 
 
 3 
 
 2 45.6 
 
 
 3 
 
 2 42.9 
 
 
 
 
 
 
 5.1 
 
 
 
 -2.0 
 
 
 
 -2.7 
 
 
 
 3.3 
 
 
 
 4 
 
 3 38.7 
 
 
 4 
 
 4 11.6 
 
 
 4 
 
 2 42.9 
 
 
 4 
 
 2 46.2 
 
 
 
 
 
 
 +4.8 
 
 
 
 -2.2 
 
 
 
 -2.7 
 
 
 
 +3.4 
 
 
 
 5 
 
 3 43.5 
 
 
 5 
 
 4 9.4 
 
 
 5 
 
 2 40.2 
 
 
 5 
 
 2 49.6 
 
 
 
 
 
 
 4.7 
 
 
 
 -2.3 
 
 
 
 -2.5 
 
 
 
 3.7 
 
 
 
 C 
 
 3 48.2 
 
 
 C 
 
 4 7.1 
 
 
 6 
 
 2 37.7 
 
 
 6 
 
 2 53.3 
 
 
 
 
 
 
 4.4 
 
 
 
 -3.4 
 
 
 
 -2.3 
 
 
 
 3.8 
 
 
 
 7 
 
 3 52.0 
 
 
 7 
 
 4 4.7 
 
 
 7 
 
 2 35.4 
 
 
 7 
 
 2 57.1 
 
 
 
 
 
 
 4.1 
 
 
 
 -2.6 
 
 
 
 -2.3 
 
 
 
 3.9 
 
 
 
 8 
 
 3 56.7 
 
 
 8 
 
 4 2.1 
 
 
 8 
 
 2 33.1 
 
 
 8 
 
 3 1.0 
 
 
 
 
 
 
 3.9 
 
 
 
 -2.6 
 
 
 
 -2.1 
 
 
 
 4.0 
 
 
 
 9 
 
 4 0.6 
 
 
 9 
 
 3 59.5 
 
 
 9 
 
 2 31.0 
 
 
 9 
 
 3 5.0 
 
 
 
 
 
 
 +3.7 
 
 
 
 -2.7 
 
 
 
 -1.9 
 
 
 
 +4.2 
 
 
 
 1883.0 
 
 4 4.3 
 
 
 1886.0 
 
 3 56.8 
 
 
 1889.0 
 
 2 29.1 
 
 
 1892.0 
 
 3 9.2 
 
 
 
 
THE SECOND SATELLITE, 
 
 23 
 
 TABLE III. Perturbations of Jupiter and other Inequalities, 
 
 .1 + 9 + 6K ) + 4'J3.a (<fi 
 
 s 
 
 
 
 
 Years and 
 tenths. 
 
 Pert ii i-l>. 
 
 Diff. 
 
 Years and 
 
 tMltll.-. 
 
 Perturb. 
 
 Diff. 
 
 Years and 
 
 tl'lltllS. 
 
 Perturb. 
 
 Diff. 
 
 Yeare and 
 tenths. 
 
 Perturb. 
 
 Diff. 
 
 
 
 Ill S 
 
 
 
 m s 
 
 
 
 in s 
 
 
 
 in s 
 
 
 
 
 1892.0 
 
 3 9.2 
 
 8 
 
 +4.3 
 
 1894.0 
 
 4 30.6 
 
 s 
 +2.7 
 
 1896.0 
 
 4 40.0 
 
 8 
 
 -1.7 
 
 1898.0 
 
 3 52.0 
 
 H 
 
 -2.6 
 
 
 
 ] 
 
 3 13.5 
 
 4.4 
 
 1 
 
 4 33.3 
 
 2.4 
 
 1 
 
 4 38.3 
 
 -1.8 
 
 1 
 
 3 49.4 
 
 -2.6 
 
 
 
 2 
 
 3 17.9 
 
 4.4 
 
 2 
 
 4 35.7 
 
 2.8 
 
 2 
 
 4 36.5 
 
 -1.9 
 
 2 
 
 3 46.8 
 
 -2.5 
 
 
 
 3 
 
 3 22.3 
 
 4.5 
 
 3 
 
 4 37.9 
 
 2.0 
 
 3 
 
 4 34.6 
 
 -2.1 
 
 3 
 
 3 44.3 
 
 -2.5 
 
 
 
 4 
 
 3 26.8 
 
 
 4 
 
 4 39.9 
 
 
 4 
 
 4 32.5 
 
 
 4 
 
 3 41.8 
 
 
 
 
 
 
 +4.5 
 
 
 
 +1.8 
 
 
 
 -2.1 
 
 
 
 -2.4 
 
 
 
 5 
 
 3 31.3 
 
 4.5 
 
 5 
 
 4.41.7 
 
 1.5 
 
 5 
 
 4 30.4 
 
 -2.3 
 
 5 
 
 3 39.4 
 
 -2.3 
 
 
 
 6 
 
 3 35.8 
 
 4. 
 
 6 
 
 4 43.2 
 
 1.3 
 
 6 
 
 4 28.1 
 
 -2.3 
 
 <; 
 
 3 37. L 
 
 -3.3 
 
 
 
 7 
 
 3 40.4 
 
 4.5 
 
 7 
 
 4 44.5 
 
 1.0 
 
 7 
 
 4 25.8 
 
 -2.4 
 
 7 
 
 3 34.8 
 
 -2.3 
 
 
 
 8 
 
 3 44.9 
 
 4.5 
 
 8 
 
 4 45.5 
 
 0.7 
 
 8 
 
 4 23.4 
 
 -2.5 
 
 8 
 
 3 32.5 
 
 -2.1 
 
 
 
 g 
 
 3 49.4 
 
 
 9 
 
 4 46.2 
 
 
 9 
 
 4 20.9 
 
 
 9 
 
 3 30.4 
 
 
 
 
 
 
 +4.4 
 
 
 
 +0.5 
 
 
 
 -2.5 
 
 
 
 -2.0 
 
 
 
 1893.0 
 
 3 53.8 
 
 4.4 
 
 1895.0 
 
 4 46.7 
 
 +0.3 
 
 1897.0 
 
 4 18.4 
 
 -^.6 
 
 1899.0 
 
 3 28.4 
 
 -2.0 
 
 
 
 ] 
 
 3 58.2 
 
 4.2 
 
 1 
 
 4 47.0 
 
 +0.1 
 
 1 
 
 4 15.8 
 
 -2.6 
 
 1 
 
 3 26.4 
 
 -1.9 
 
 
 
 2 
 
 4 2.4 
 
 4.1 
 
 2 
 
 4 47.1 
 
 -0.2 
 
 2 
 
 4 13.2 
 
 -2.6 
 
 2 
 
 3 24.5 
 
 -1.8 
 
 
 
 3 
 
 4 6.5 
 
 4.0 
 
 3 
 
 4 46.9 
 
 -0.1 
 
 3 
 
 4 10.6 
 
 -2.6 
 
 3 
 
 3 22.7 
 
 -1.6 
 
 
 
 4 
 
 4 10.5 
 
 
 4 
 
 4 46.5 
 
 
 4 
 
 4 8.0 
 
 
 4 
 
 3 21.1 
 
 
 
 
 
 
 +3.8 
 
 
 
 -0.6 
 
 
 
 -2.7 
 
 
 
 -1.5 
 
 
 
 5 
 
 4 14.3 
 
 3.6 
 
 5 
 
 4 45.9 
 
 -0.9 
 
 5 
 
 4 5.3 
 
 -2.7 
 
 5 
 
 3 19.0 
 
 -1.5 
 
 
 
 6 
 
 4 17.9 
 
 3.5 
 
 6 
 
 4 45.0 
 
 -1.0 
 
 6 
 
 4 2.6 
 
 -2.7 
 
 6 
 
 3 18.1 
 
 -1.3 
 
 
 
 7 
 
 4 21.4 
 
 3.3 
 
 7 
 
 4 44.0 
 
 -1.2 
 
 7 
 
 3 50.9 
 
 -2.6 
 
 7 
 
 3-16.8 
 
 -1.1 
 
 
 
 8 
 
 4 24.7 
 
 3.0 
 
 8 
 
 4 42.8 
 
 -1.3 
 
 8 
 
 3 57.3 
 
 -2.7 
 
 8 
 
 3 K.7 
 
 -0.9 
 
 
 
 9 
 
 4 27.7 
 
 
 9 
 
 4 41.5 
 
 
 9 
 
 3 54.6 
 
 
 9 
 
 3 14.8 
 
 
 
 
 
 
 +3.9 
 
 
 
 -1.5 
 
 
 
 -2.6 
 
 
 
 -0.9 
 
 
 
 1894.0 
 
 4 30.6 
 
 
 1896.0 
 
 4 40.0 
 
 
 1898.0 
 
 3 52.0 
 
 
 1900.0 
 
 3 13.9 
 
 
 
 + 
 
 
24 
 
 THE THIRD 
 
 TABLE I. 
 
 Epochs of the Mean Conjunctions 
 
 
 
 
 YEARS. 
 
 MEAN CONJUNCTIONS. 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 Days and parts of a day, 
 I'arisinciiii civil time. 
 
 Fraction of 
 year. 
 
 1880 B 
 
 Jan. h m s 
 4 6 13 11.0 
 
 0.009 
 
 S. o 
 
 1 1 8.974 
 
 S. o 
 
 2.40 
 
 8. o 
 
 9 14. (iti 
 
 " 
 
 3 20.2 
 
 " 
 
 tl 17.0 
 
 
 1881 
 
 3 17 52 39.6 ' 0.008 
 
 9.339 ! 2.08 
 
 8 14.48 
 
 1 20.8 
 
 11 24.1 
 
 
 
 1882 
 
 4 5 32 8.2 : 0.009 
 
 1 9.705 2.91 
 
 7 14.28 
 
 11 21.0 
 
 2 0.0 
 
 
 
 
 
 
 
 
 
 
 
 1883 
 
 4 17 11 30.7 
 
 0.010 
 
 2 10.070 
 
 3.13 
 
 14.09 
 
 9 22.2 
 
 4 7.1 
 
 
 
 1884 B 
 
 5 4 51 5.3 
 
 0.012 
 
 3 10.l:r> 
 
 3.35 
 
 5 13.92 
 
 7 22.9 
 
 13.5 
 
 
 
 1885 
 
 4 16 30 33.9 
 
 0.0 10 
 
 4 10.801 
 
 3.58 
 
 4 13.78 
 
 5 23.0 
 
 8 20.0 
 
 
 
 1886 
 
 5 4 10 2.4 
 
 0.011 
 
 5 11.100 
 
 3.80 
 
 3 13.00 
 
 3 24.2 
 
 10 20.4 
 
 
 
 1887 
 
 5 15 49 31.0 
 
 0.013 
 
 11.531 
 
 4.02 
 
 2 13.54 
 
 1 24.8 
 
 1 2.8 
 
 
 
 1888 B 
 
 3 28 59.G 
 
 0.014 
 
 7 11.897 
 
 4.24 
 
 1 13.43 
 
 11 25.4 
 
 3 9.3 
 
 
 
 1889 
 
 5 15 8 28.1 
 
 0.013 
 
 8 12.202 
 
 4.47 
 
 13.31 
 
 9 20.1 
 
 5 15.7 
 
 
 
 1890 
 
 G 2 47 50.7 
 
 0.014 
 
 9 12.627 
 
 4.69 
 
 11 13.17 
 
 7 20.7 
 
 7 22.2 
 
 
 
 J891 
 
 6 14 27 25.3 
 
 0.015 
 
 10 12.993 
 
 4.91 
 
 10 13.02 
 
 5 27.4 
 
 9 28.6 
 
 
 
 1892 B 
 
 7 20 53.8 
 
 0.010 
 
 11 13.358 
 
 5.14 
 
 9 12.84 
 
 3 28.0 
 
 5.1 
 
 
 
 1893 
 
 6 13 40 22.4 
 
 0.015 
 
 13.723 
 
 5.30 
 
 8 12.00 
 
 1 28.7 
 
 2 11.0 
 
 
 
 1894 
 
 7 1 25 51.0 
 
 0.010 
 
 1 14.088 
 
 5.58 
 
 7 12.48 
 
 11 29.4 
 
 4 18.0 
 
 
 
 1895 
 
 7 13 5 19.5 
 
 0.018 
 
 2 14.454 
 
 5.80 
 
 12.33 
 
 10 0.1 
 
 24.5 
 
 
 
 1890 B 
 
 20 45 12.2 
 
 0.000 
 
 3 14.223 
 
 11 28.90 
 
 5 5.73 
 
 7 24.8 
 
 2 4.9 
 
 
 
 1897 
 
 7 12 24 16.6 
 
 0.018 
 
 4 15.184 
 
 6.25 
 
 4 12.08 
 
 6 1.3 
 
 11 7.4 
 
 
 
 1898 
 
 20 4 9.4 
 
 0.000 
 
 5 14.954 
 
 11 29.41 
 
 3 5.49 
 
 3 20.1 
 
 17.8 
 
 
 
 1899 
 
 1 7 43 37.9 
 
 0.001 
 
 6 15.319 
 
 11 29.63 
 
 2 5.37 
 
 1 20.7 
 
 8 24.2 
 
 
 
 1900 
 
 1 19 23 6.5 
 
 0.002 
 
 7 15.684 
 
 11 29.86 
 
 1 5.24 
 
 11 27.3 
 
 11 0.7 
 
 
 
SATELLITE. 
 
 and the Arguments of the Inequalities. 
 
 -25 
 
 UNIVERSITY 
 
 
 
 
 
 
 
 
 
 
 
 
 
 YKAKS. 
 
 G 
 
 1 
 
 8 
 
 9 
 
 1 
 
 11 
 
 111 
 
 IV 
 
 
 
 I860 B 
 
 x- o 
 1 20.:{ 
 
 
 
 i 12.8 
 
 8. 
 
 8 0.0 
 
 * 
 
 7 7.5 
 
 s. 
 1 0.45 
 
 s. 
 4 22.47 
 
 5 & 
 
 s. 
 12.1 
 
 
 
 1881 
 
 2 18.1 
 
 3 12.5 
 
 5 2.9 
 
 4 8.5 
 
 2 0.85 
 
 5 25.43 
 
 6 0.0 
 
 1 24.0 
 
 
 
 1882 
 
 X 15.D 
 
 4 12.2 
 
 2 5.7 
 
 1 9.4 
 
 3 1.28 
 
 (5 28.41 
 
 7 7.8 
 
 3 7.1 
 
 
 
 1883 
 
 4 13.7 
 
 5 11.9 
 
 1 1 8.<; 
 
 10 10.4 
 
 4 1.70 
 
 8 1.39 
 
 8 8.9 
 
 4 19.0 
 
 
 
 1884 B 
 
 5 11.5 
 
 II II. (j 
 
 8 11.5 
 
 7 11.4 
 
 . 5 2.09 
 
 9 4.34 
 
 9 10.0 
 
 2.1 
 
 
 
 1885 
 
 9.3 
 
 7 11.3 
 
 5 14.4 
 
 4 12.4 
 
 6 2.4(5 
 
 10 7.20 
 
 10 11.0 
 
 7 14.5 
 
 
 
 1880 
 
 7 7.0 
 
 8 11.0 
 
 2 17.3 
 
 1 13.4 
 
 7 2.81 
 
 11 10.17 
 
 11 12.0 
 
 8 20.9 
 
 
 
 1887 
 
 8 4.8 
 
 !) 10.15 
 
 11 20.2 
 
 10 14.3 
 
 8 3.15 
 
 13.06 
 
 13.1 
 
 10 9.4 
 
 
 
 1888 B 
 
 9 2.5 
 
 10 10.2 
 
 8 23.1 
 
 7 15.3 
 
 9 3.49 
 
 1 15.90 
 
 1 14.1 
 
 11 21.8 
 
 
 
 1883 
 
 10 0.2 
 
 11 9.9 
 
 5 2(i.O 
 
 4 1(5.3 
 
 10 3.83 
 
 2 18.86 
 
 2 15.2 
 
 1 4.2 
 
 
 
 1890 
 
 10 28.0 
 
 9.5 
 
 2 28.8 
 
 1 17.3 
 
 11 4.19 
 
 3 21.78 
 
 3 10.2 
 
 2 10.7 
 
 
 
 1891 
 
 11 25.8 
 
 1 9.2 
 
 1.7 
 
 10 18.2 
 
 4.57 
 
 4 24.71 
 
 4 17.3 
 
 3 29.1 
 
 
 
 1892 li 
 
 o 23.0 
 
 2 8.9 
 
 9 4.0 
 
 7 19.2 
 
 1 4.97 
 
 5 27.07 
 
 5 18.4 
 
 5 11.0 
 
 
 
 1893 
 
 1 21.4 
 
 3 8.0 
 
 (i 7.5 
 
 4 20.2 
 
 2 5.38 
 
 7 0.04 
 
 19.5 
 
 24.1 
 
 
 
 181)4 
 
 2 1!>.2 
 
 4 8.3 
 
 3 10.4 
 
 1 21.2 
 
 3 5.78 
 
 8 3.59 
 
 7 20.6 
 
 8 0.0 
 
 
 
 1895 
 
 10.9 
 
 5 8.0 
 
 13.3 
 
 10 22.2 
 
 4 C.1G 
 
 9 0.53 
 
 8 21.0 
 
 9 19.1 
 
 
 
 IrtKi 15 
 
 4 14.1 
 
 7.1 
 
 9 10.8 
 
 7 17.8 
 
 5 5.92 
 
 10 8.80 
 
 9 22.1 
 
 11 0.7 
 
 
 
 lew 
 
 5 12.4 
 
 7 7.3 
 
 19.0 
 
 4 24.1 
 
 (i 6.8(5 
 
 11 12.34 
 
 10 23.7 
 
 14.0 
 
 
 
 1808 
 
 9.0 
 
 8 0.4 
 
 3 1(5.0 
 
 1 19.8 
 
 7 (5.01 
 
 14.60 
 
 11 24.2 
 
 1 25.5 
 
 
 
 1899 
 1900 
 
 7 7.4 
 8 5.1 
 
 9 (i.O 
 10 5.7 
 
 19.5 
 9 22.3 
 
 10 20.8 
 7 21.7 
 
 8 0.90 
 9 7.31 
 
 1 17.50 
 2 20.41 
 
 25.2 
 1 20.2 
 
 3 8.0 
 4 20.4 
 
 
 
 
 
 
 
 
 
 
 
 
 
THE THIRD SATELLITE. 
 
 TABLE III. Perturbations of Jupiter and other Inequalities. 
 
 0.47/750 (J + f> + <5 F. ) + 49;i.li (0, + <? r) + (*) '<>.8y3 sin (5 u 2 / 34.542) (*) 5.77.') sin (II A,,, ). 
 
 
 
 
 Yeai-s and 
 tenths. 
 
 Perturb. 
 
 Ditf. 
 
 Years and 
 tenths. 
 
 Perturb. 
 
 Diff. 
 
 Years and 
 tenths. 
 
 Perturb. 
 
 Diff. 
 
 Years and 
 tenths. 
 
 Perturb. 
 
 Diff. 
 
 
 
 m a 
 
 
 
 m s 
 
 
 
 in s 
 
 
 
 m s 
 
 
 
 
 1880.0 
 
 3 29.2 
 
 s 
 
 1883.0 
 
 8 1G.2 
 
 s 
 
 188G.O 
 
 8 8.3 
 
 8 
 
 1889.0 
 
 5 16.3 
 
 s 
 
 
 
 
 
 +4.0 
 
 
 
 +7.1 
 
 
 
 -5.4 
 
 
 
 3.5 
 
 
 
 1 
 
 3 33 2 
 
 
 1 
 
 8 23.3 
 
 
 1 
 
 8 2.9 
 
 
 1 
 
 5 12.8 
 
 
 
 
 
 4.8 
 
 
 
 6.4 
 
 
 
 5.7 
 
 
 
 -3.1 
 
 
 
 2 
 
 3 38.0 
 
 2 
 
 8 29.7 
 
 
 2 
 
 7 57.2 
 
 
 2 
 
 5 9.7 
 
 
 
 
 
 5.6 
 
 
 
 5.9 
 
 
 5.7 
 
 
 
 '-3.7 
 
 
 
 3 
 
 3 43.G 
 
 3 
 
 3 35.G 
 
 
 3 ! 7 51.5 
 
 
 3 
 
 5 7.0 
 
 
 
 
 
 6.4 
 
 
 
 5.3 
 
 
 
 5.9 
 
 
 
 -3.4 
 
 
 
 4 
 
 3 50.0 
 
 
 4 
 
 8 40.9 
 
 4 
 
 7 45,6 
 
 
 4 
 
 5 4.6 
 
 
 
 
 
 
 +7.1 
 
 
 
 +1.6 
 
 
 
 -6.0 
 
 
 
 -1.9 
 
 
 
 5 
 
 3 57.1 
 
 
 5 
 
 8 45.5 
 
 
 5 
 
 7 39.G 
 
 
 5 
 
 5 2.7 
 
 
 
 
 
 
 7.8 
 
 
 4.0 
 
 
 
 -6.0 
 
 
 
 
 
 G 
 
 4 4.9 
 
 8.4 
 
 6 
 
 8 49.5 ^ g 4 
 
 (i 
 
 7 33.G 
 
 -6.2 
 
 6 I 5 1.1 
 
 -I.I 
 
 
 
 7 
 
 4 13.3 
 
 
 7 
 
 8 52.9 
 
 7 
 
 7 27.4 
 
 
 7 
 
 5 0.0 
 
 
 
 
 
 
 9.0 
 
 
 
 2.8 
 
 
 -0.3 
 
 
 
 ' -0.7 
 
 
 
 8 
 
 4 22.3 
 
 9.6 
 
 8 
 
 8 55.7 
 
 2.3 
 
 8 7 21.1 
 
 -6.2 
 
 o 
 
 4 59.3 
 
 -0.2 
 
 
 
 9 
 
 4 31.9 
 
 
 9 
 
 8 58.0 
 
 
 9 
 
 7 14.9 
 
 
 9 4 59.1 
 
 
 
 
 
 
 +10.3 
 
 
 +1.7 
 
 
 
 -6.4 
 
 
 +0.2 
 
 
 
 1881.0 
 
 4 42.1 
 
 1884.0 
 
 8 59.7 
 
 1887.0 
 
 7 8.5 
 
 
 1890.0 4 59.3 
 
 
 
 
 
 10.7 
 
 
 
 
 
 -6.4 
 
 
 0.7 
 
 
 
 1 
 
 4 52.8 
 
 1 
 
 9 0.8 , 
 
 1 
 
 7 2.1 
 
 
 1 5 0.0 
 
 
 
 
 
 11.0 
 
 
 0.7 
 
 
 -6.4 
 
 
 
 1.1 
 
 
 
 2 
 
 5 3.8 
 
 2 
 
 9 1.5 
 
 2 G 55.7 
 
 
 2 
 
 5 1 1 
 
 
 
 
 
 11.5 
 
 
 
 +0.3 
 
 
 
 -6.4 
 
 
 
 1.6 
 
 
 
 3 
 
 5 15.3 
 
 11.6 
 
 3 
 
 9 1.7 
 
 -0.3 
 
 3 
 
 G 49.3 
 
 -6.4 
 
 3 
 
 5 2.7 
 
 2.1 
 
 
 
 4 
 
 5 2G.9 
 
 
 4 
 
 9 1.4 
 
 
 4 
 
 G 42.9 
 
 
 4 
 
 5 4.8 
 
 
 
 
 
 
 +11.9 
 
 
 -0.7 
 
 
 
 -6.4 
 
 
 
 +2.6 
 
 
 
 5 
 
 5 38.8 
 
 
 5 
 
 9 0.7 
 
 5 
 
 G 36.5 
 
 
 5 
 
 5 7.4 
 
 
 
 
 
 
 13.0 
 
 
 -1.2 
 
 
 
 -6.4 
 
 
 
 3.1 
 
 
 
 6 
 
 5 50.8 
 
 
 G 
 
 8 59.5 
 
 
 G 
 
 G 30.1 
 
 
 (i 
 
 5 10.5 
 
 
 
 
 
 
 11.9 
 
 
 
 -1.6 
 
 
 
 -6.3 
 
 
 
 3.5 
 
 
 
 7 
 
 6 2.7 
 
 
 7 
 
 8 57.9 
 
 
 7 
 
 6 23.8 
 
 
 7 
 
 5 14.0 
 
 
 
 
 
 
 12.0 
 
 
 
 -3.0 
 
 
 
 -6.2 
 
 
 
 4.0 
 
 
 
 8 
 
 G 14.7 
 
 
 8 
 
 8 55.9 
 
 8 
 
 6 17.6 
 
 
 8 
 
 5 18.0 
 
 
 
 
 
 
 11.8 
 
 
 -3.4 
 
 
 
 -6.0 
 
 
 
 4.4 
 
 
 
 9 
 
 G 2G.5 
 
 
 9 
 
 8 53.5 
 
 9 
 
 6 11.6 
 
 
 9 
 
 5 22.4 
 
 
 
 
 
 
 +11.8 
 
 
 -2.7 
 
 
 
 -6.0 
 
 
 
 +4.8 
 
 
 
 1882.0 
 
 G 38.3 
 
 11.5 
 
 1885.0 
 
 8 50.8 
 
 -3.1 
 
 1888.0 
 
 5.G 
 
 -5.8 
 
 1891.0 
 
 5 27.2 
 
 5.4 
 
 
 
 1 
 
 G 49.8 
 
 
 1 
 
 8 47.7 
 
 
 1 
 
 5 59.8 
 
 
 1 
 
 5 32.6 
 
 
 
 
 
 
 11.3 
 
 
 -3.3 
 
 
 o.e 
 
 
 
 5.8 
 
 
 
 2 
 
 7 1.1 
 
 
 2 
 
 8 44.4 
 
 2 5 54.2 
 
 
 2 
 
 5 38.4 
 
 
 
 
 
 
 10.9 
 
 
 -3.7 
 
 
 
 5.5 
 
 
 
 6.1 
 
 
 
 3 
 
 7 12.0 
 
 
 3 
 
 8 40.7 
 
 3 
 
 5 48.7 
 
 
 3 
 
 5 44.5 
 
 
 
 
 
 
 10.6 
 
 
 
 3.9 
 
 
 
 5.4 
 
 
 
 6.5 
 
 
 
 4 
 
 7 22.G 
 
 
 4 
 
 8 3G.8 
 
 
 4 
 
 5 43.3 
 
 
 4 
 
 5 51.0 
 
 
 
 
 
 
 +10.2 
 
 
 
 -4.3 
 
 
 
 -5.1 
 
 
 
 +6.9 
 
 
 
 5 
 
 7 32.8 
 
 9.7 
 
 5 
 
 8 32.G 
 
 -4.4 
 
 5 
 
 5 38.2 
 
 -4.9 
 
 5 
 
 5 57.9 
 
 7.2 
 
 
 
 G 
 
 7 42.5 
 
 9.3 
 
 G 
 
 8 28.2 
 
 -4.6 
 
 G 
 
 5 33.3 
 
 -4.7 
 
 6 
 
 6 5.1 
 
 7.5 
 
 
 
 7 
 
 7 51.8 
 
 
 7 
 
 8 23.6 
 
 
 7 
 
 5 28.6 
 
 
 7 
 
 6 12.6 
 
 
 
 
 
 
 8.7 
 
 
 
 -4.9 
 
 
 
 -4.4 
 
 
 
 7.8 
 
 
 
 8 
 
 8 0.5 
 
 
 8 
 
 8 18.7 
 
 
 8 
 
 5 24.2 
 
 
 8 
 
 6 20.4 
 
 
 
 
 
 
 8.1 
 
 
 
 -5.1 
 
 
 
 4.1 
 
 
 
 8.0 
 
 
 
 9 
 
 8 8.G 
 
 
 9 
 
 8 13.G 
 
 9 
 
 5 20.1 
 
 
 9 
 
 G 28.4 
 
 
 
 
 
 
 + 7.6 
 
 -5.3 
 
 
 
 -3.8 
 
 
 
 +8.2 
 
 
 
 1883.0 
 
 8 1G.2 
 
 
 1886.0 8 8.3 
 
 1889.0 
 
 5 16.3 
 
 
 1892.0 
 
 G 36.6 
 
 
 
 
THE THIRD SATELLITE. 
 
 27 
 
 TABLE III. 
 
 Perturbations of Jupiter and other Inequalities. 
 
 0,177759 
 
 + 41)3.2 
 
 + () S.ti23 sin (5 2 . 34.342) (*) 5.775 sin (II 
 
 
 
 Years and 
 tenths. 
 
 
 
 Years and 
 
 tenths. 
 
 Perturb. 
 
 Diff. 
 
 Perturb. 
 
 Diff. 
 
 Years ami 
 tenths. 
 
 Perturb. 
 
 Diff. 
 
 Years and 
 tenths. 
 
 / 
 
 Perturb. 
 
 Diff. 
 
 
 
 in s 
 
 
 
 in s 
 
 
 
 m s 
 
 
 
 m s 
 
 
 
 
 181)2.0 
 
 (i 36.6 
 
 8 
 +8.4 
 
 1894.0 
 
 9 14.2 
 
 i 
 
 +4.0 
 
 1890.0 
 
 9 23.9 
 
 8 
 -3.8 
 
 1898.0 
 
 7 38.6 
 
 8 
 -5.5 
 
 
 
 1 
 
 6 45.0 
 
 8.6 
 
 1 
 
 9 19.1 
 
 4.5 
 
 1 
 
 9 20.1 
 
 -4.1 
 
 1 
 
 7 33.1 
 
 -5.6 
 
 
 
 2 
 
 6 53.6 
 
 8.7 
 
 2 
 
 9 23.6 
 
 4.1 
 
 2 
 
 9 16.0 
 
 -4.3 
 
 2 
 
 7 27.5 
 
 -5.4 
 
 
 
 3 
 
 7 2.3 
 
 8.8 
 
 3 
 
 9 27.7 
 
 3.5 
 
 3 
 
 9 11.7 
 
 -4.6 
 
 a 
 
 7 22.1 
 
 -5.3 
 
 
 
 4 
 
 7 11.1 
 
 
 4 
 
 9 3'.2 
 
 
 4 
 
 9 7.1 
 
 
 4 
 
 7 16.8 
 
 
 
 
 
 
 +8.8 
 
 
 
 +3.1 
 
 
 
 -4.8 
 
 
 
 -5.2 
 
 
 
 5 
 
 7 19.9 
 
 8.9 
 
 5 
 
 9 34.3 
 
 2.6 
 
 5 
 
 9 2.3 
 
 -5.1 
 
 5 
 
 7 11.6 
 
 -5.1 
 
 
 
 (j 
 
 7 28.8 
 
 8.9 
 
 (i 
 
 9 36.9 
 
 2.1 
 
 6 
 
 8 57.2 
 
 -fi.l 
 
 (J 
 
 7 0.5 
 
 -4.9 
 
 
 
 7 
 
 7 37.7 
 
 8.8 
 
 7 
 
 9 39.0 
 
 1.5 
 
 7 
 
 8 52.1 
 
 -5.3 
 
 7 
 
 7 1.0 
 
 -4.8 
 
 
 
 8 
 
 7 40.5 
 
 8.7 
 
 8 
 
 9 40.5 
 
 1.1 
 
 8 
 
 8 40.8 
 
 -5.5 
 
 8 
 
 6 56.8 
 
 -4.6 
 
 
 
 9 
 
 7 55.2 
 
 
 9 
 
 9 41.6 
 
 
 9 
 
 8 41.3 
 
 
 9 
 
 6 52.2 
 
 
 
 
 
 
 +8.6 
 
 
 
 +0.6 
 
 
 
 -5.4 
 
 
 
 -4.4 
 
 
 
 ] 893.0 
 
 8 3.8 
 
 8.4 
 
 1895.0 
 
 9 42.2 
 
 +0.1 
 
 1897.0 
 
 8 35.9 
 
 -5.6 
 
 1899.0 
 
 6 47.8 
 
 -4.3 
 
 
 
 1 
 
 8 12.2 
 
 8.3 
 
 1 
 
 9 42.3 
 
 -0.4 
 
 1 
 
 8 30.3 
 
 -5.7 
 
 1 
 
 6 43.5 
 
 -4.0 
 
 .- 
 
 
 a 
 
 8 20.4 
 
 7.9 
 
 2 
 
 9 41.9 
 
 -0.8 
 
 2 
 
 8 24.6 
 
 -5.7 
 
 2 
 
 6 39.5 
 
 -3.9 
 
 
 
 a 
 
 8 28.3 
 
 7.7 
 
 3 
 
 9 41.1 
 
 -1.3 
 
 3 
 
 8 18.9 
 
 -5.7 
 
 3 
 
 6 35.6 
 
 -3.5 
 
 
 
 4 
 
 8 30.0 
 
 
 4 
 
 9 39.8 
 
 
 4 
 
 8 13.2 
 
 
 4 
 
 6 32.1 
 
 
 
 
 
 
 +7.3 
 
 
 
 -1.7 
 
 
 
 -5.8 
 
 
 
 -3.4 
 
 
 
 5 
 
 6 43.3 
 
 6.9 
 
 5 
 
 9 38.1 
 
 -2.1 
 
 5 
 
 8 7.4 
 
 -5.8 
 
 5 
 
 6 28.7 
 
 -3.1 
 
 
 
 ti 
 
 8 50.2 
 
 6.6 
 
 6 
 
 9 36.0 
 
 -2.5 
 
 6 
 
 8 1.6 
 
 -5.8 
 
 
 
 6 25.6 
 
 -a.s 
 
 
 
 7 
 
 8 56.8 
 
 6.2 
 
 7 
 
 9 a3.5 
 
 -2.9 
 
 7 
 
 7 55.8 
 
 -5.7 
 
 7 
 
 6 22.8 
 
 -2.5 
 
 
 
 8 
 
 9 3.0 
 
 5.8 
 
 8 
 
 9 30.6 
 
 -3.2 
 
 8 
 
 7 50.1 
 
 -5.8 
 
 8 
 
 6 20.3 
 
 -2.1 
 
 
 
 i) 
 
 !) 8.8 
 
 
 9 
 
 9 27.4 
 
 
 9 
 
 7 44.3 
 
 
 9 
 
 6 18.2 
 
 
 
 
 
 
 +5.4 
 
 
 
 -3.5 
 
 
 
 -5.7 
 
 
 
 -1.9 
 
 
 
 189-1.0 
 
 9 14.2 
 
 
 1896.0 
 
 9 23.9 
 
 
 18J8.0 
 
 7 38.6 
 
 
 1900.0 
 
 6 16.3 
 
 
 
 
 
 
28 
 
 THE FOURTH 
 
 TABLE I. 
 
 Epochs of the Mean Conjunctions 
 
 
 
 
 YEARS. 
 
 MEAN CONJUNCTIONS. 
 
 1 
 
 2 
 
 3 
 
 4 
 
 Days and parts of a day, 
 Paris mean civil time. 
 
 Fraction of 
 year. 
 
 1880 B 
 
 Jan. h m s 
 20 29 8.9 
 
 0.002 
 
 11 8706 
 
 s. o 
 11 29.29 
 
 s- o 
 9 11.75 
 
 1(1.9 
 
 
 1881 
 
 3 10 21 41.3 
 
 0.007 
 
 9.329 2.56 
 
 8 11.37 
 
 11 Ki.3 
 
 
 
 1882 
 
 7 14 13.7 
 
 0.016 
 
 1 9.951 
 
 5.83 
 
 7 1 6.96 
 
 4 21.7 
 
 
 
 1883 
 
 10 14 G 46.2 
 
 0.026 
 
 2 10.573 
 
 9.10 
 
 6 19.55 
 
 9 27.1 
 
 
 
 1884 B 
 
 14 3 59 18.6 
 
 0.036 
 
 3 11.196 
 
 12.37 
 
 5 22.18 
 
 3 2.5 
 
 
 
 1885 
 
 10 17 51 51.0 
 
 0.043 
 
 4 11.818 
 
 15.04 
 
 4 24.83 
 
 8 7.8 
 
 
 
 1880 
 
 3 13 39 16.5 
 
 0.007 
 
 5 11.048 
 
 2.40 
 
 3 12.37 
 
 9 11.0 
 
 
 
 1887 
 
 7 3 31 48.9 
 
 0.017 
 
 6 11.670 
 
 5.07 
 
 2 15.05 
 
 2 1(1.9 
 
 
 
 1888 B 
 
 10 17 24 21.3 
 
 0.027 
 
 7 12.293 
 
 8.H4 
 
 1 17.73 
 
 7 22.2 
 
 
 
 1889 
 
 13 7 16 53.8 
 
 0.034 
 
 8 12.915 
 
 12.21 
 
 20.40 
 
 27.5 
 
 
 
 1890 
 
 34 19.3 
 
 0.000 
 
 9 12.145 
 
 11 28.97 
 
 11 7.94 2 1.2 
 
 
 1891 
 
 3 1C 56 51.7 
 
 0.007 
 
 10 12.708 2.24 
 
 10 10.57 
 
 7 0.6 
 
 
 1892 B 
 
 7 6 49 24.1 
 
 0.017 
 
 11 13.390 5.51 
 
 9 13.19 12.0 
 
 
 
 1893 
 
 9 20 41 56.5 
 
 0.024 
 
 14.012 8.78 
 
 8 15.79 5 17.4 
 
 
 
 1894 
 
 13 10 34 29.0 
 
 0.034 
 
 1 14.634 
 
 12.05 
 
 7 18.41 
 
 10 22.8 
 
 
 
 1895 
 
 6 21 54.4 
 
 0.000 
 
 2 13.864 
 
 11 28.81 
 
 6 5.93 
 
 11 26.5 
 
 
 
 1896 B 
 
 3 20 14 26.9 
 
 0.008 
 
 3 14.480 2.C8 
 
 5 8.58 5 1.8 
 
 
 
 1897 
 
 6 10 6,59.3 
 
 0.015 
 
 4 15.109 5.35 
 
 4 11. -20 10 7.2 
 
 
 
 1898 
 
 9 23 5J 31.7 
 
 0.025 
 
 5 15.731 8.02 
 
 3 13.93 3 12.5 
 
 
 
 1899 
 
 13 13 52 4.1 
 
 0.034 
 
 16.353 11.90 
 
 2 10.00 8 17.8 
 
 
 
 1900 
 
 93) 29.6 
 
 0.000 
 
 7 15.583 11 28.65 
 
 1 4.14 9 21.5 
 
 
 
SATELLITE. 
 
 20 
 
 and the Arguments of the Inequalities. 
 
 
 
 
 
 
 
 
 
 
 
 
 YKAKR. 
 
 5 
 
 6 
 
 7 
 
 I 
 
 11 
 
 11! 
 
 IV 
 
 
 
 1880 B 
 
 
 
 4 9/2 
 
 
 
 2 12.50 
 
 * 
 
 1 20.1 
 
 " 
 
 29.50 
 
 >' 
 
 . 5 4.48 
 
 42,?4 
 
 8. o 
 
 11.0 
 
 
 
 1881 
 
 23/2 
 
 3 12.45 
 
 2 18.1 
 
 2 0.16 
 
 6 5.84 
 
 5 24.6 
 
 1 23.8 
 
 
 
 188-2 
 
 9 7.3 
 
 4 12.43 
 
 3 16/2 
 
 3 0.85 
 
 7 7/22 
 
 6 27.9 
 
 3 6.7 
 
 
 
 1883 
 
 5 21.4 
 
 5 12.41 
 
 4 14/2 
 
 4 1.53 
 
 8 8.60 
 
 8 1.1 
 
 4 19.6 
 
 
 
 1884 B 
 
 2 5.4 
 
 6 12.35 
 
 5 1-2.3 
 
 5 2.18 
 
 9 9.95 
 
 9 4.4 
 
 6 2.4 
 
 
 
 1885 
 
 10 19.2 
 
 7 12.27 
 
 6 10.3 
 
 6 2.80 
 
 10 11.27 
 
 10 7.6 
 
 7 15.2 
 
 
 
 1880 
 
 10 10.0 
 
 8 10.82 
 
 7 7.0 
 
 7 2.02 
 
 11 11.15 
 
 1 1 9.2 
 
 8 26.1 
 
 
 
 1887 
 1888 B 
 
 C 29.8 
 3 13.6 
 
 9 10.71 
 10 10.60 
 
 8 4.9 
 9 2.9 
 
 8 2.62 
 9 3.21 
 
 12.44 
 1 13.74 
 
 12.4 
 1 15.6 
 
 10 8.8 
 11 21.6 
 
 
 
 1889 
 
 11 27.4 
 
 11 10.50 
 
 10 0.9 
 
 10 3.82 
 
 2 15.C4 
 
 2 18.8 
 
 1 4.4 
 
 
 
 1890 
 1891 
 
 11 24.2 
 
 8 8.2 
 
 9.05 
 1 8.99 
 
 10 27.6 
 1 1 25.6 
 
 11 3.04 
 3.68 
 
 3 14.93 
 4 10.27 
 
 3 20.5 
 4 23.7 
 
 2 15.3 
 3 28.1 
 
 
 
 181)2 B 
 
 4 22.2 
 
 2 8.94 
 
 23.6 
 
 1 4.34 
 
 5 17.63 
 
 5 26.9 
 
 5 11.0 
 
 
 
 1893 
 1894 
 
 1 6.2 
 
 9 20.2 
 
 3 8.91 
 4 8.86 
 
 1 21.7 
 2 19.7 
 
 2 5.01 
 3 5.67 
 
 6 18.99 
 7 20.35 
 
 7 0.2 
 8 :>.4 
 
 23.8 
 
 8 6.7 
 
 
 
 1895 
 1896 B 
 
 1897 
 
 9 17.2 
 6 1.0 
 2 14.8 
 
 5 7.43 
 (i 7.34 
 7 7.24 
 
 3 16.4 
 4 14.4 
 5 12.4 
 
 4 4.91 
 5 5.53 
 (i 6.13 
 
 8 20.26 
 9 21.57 
 10 22.87 
 
 9 5.1 
 10 8.3 
 11 1 1.5 
 
 9 17.5 
 11 0.4 
 13.1 
 
 
 
 1898 
 
 10 28.6 
 
 8 7.14 
 
 6 10.4 
 
 7 6.73 
 
 11 24.17 
 
 14.6 
 
 1 25.9 
 
 
 
 1899 
 
 7 12.4 
 
 9 7.04 
 
 7 8.4 
 
 8 7.34 
 
 25.47 
 
 1 17.8 
 
 3 8.7 
 
 
 
 1900 
 
 7 9.2 
 
 10 5.59 
 
 8 5.1 
 
 9 6.56 
 
 1 25.36 
 
 2 19.5 
 
 4 n.(i 
 
 
 
 
 
 
 
 
 
 
 
 
30 
 
 THE FOURTH SATELLITE. 
 
 TABLE III. Perturbations of Jupiter and other Inequalities. 
 
 8 S s 
 
 l.llGiWSo (.!_+ 6 + <5 E) + 49X2 (0, + (5 ) + (*) la.odl sin (5 a u a 3-1.512) -f l(j.(JD4 sin (II / Iv ). 
 
 
 
 Years and p , 
 tenths. 
 
 
 
 Years and 
 tenths. 
 
 Perturb. 
 
 Diff. 
 
 Years and 
 tenths. 
 
 Perturb. 
 
 Diff. 
 
 Years and 
 tenths. 
 
 Perturb. 
 
 Diff. 
 
 Diff. 
 
 
 
 m s 
 
 
 
 m s 
 
 
 
 in s 
 
 
 in s 
 
 
 
 
 1880.0 
 
 8 45.4 
 
 s 
 
 1883.0 
 
 19 50.5 
 
 s 
 
 1880.0 
 
 19 32.5 
 
 s 
 
 1889.0 12 49.0 
 
 s 
 
 
 
 
 
 + 9.5 
 
 
 
 +16.3 
 
 
 
 -12.9 
 
 
 - 8.0 
 
 
 
 ] 
 
 8 54.0 
 
 
 1 
 
 20 12.8 
 
 
 1 
 
 19 19.0 
 
 
 1 ' 12 41.0 
 
 
 
 
 
 
 1 1.5 
 
 
 
 14.9 
 
 
 
 -13.3 
 
 
 
 - 7.2 
 
 
 
 2 
 
 9 (i.4 
 
 
 2 
 
 20 27.7 
 
 
 2 
 
 19 (5.3 
 
 
 2 
 
 12 34.4 
 
 
 
 
 
 
 13.3 
 
 
 
 13.5 
 
 
 13.8 
 
 
 
 - 6.4 
 
 
 
 3 
 
 9 19.7 
 
 
 3 
 
 20 41.2 
 
 
 3 
 
 18 52.7 
 
 3 
 
 12 28.0 
 
 
 
 
 
 
 14.9 
 
 
 
 12.0 
 
 
 
 -i:i. u 
 
 
 
 5.4 
 
 
 
 4 
 
 9 34.0 
 
 
 4 
 
 20 53.2 
 
 
 4 
 
 18 38.8 
 
 
 4 
 
 12 22.0 
 
 
 
 
 
 
 +16.8 
 
 
 
 +10.7 
 
 
 
 -14.1 
 
 
 
 - 4.5 
 
 
 
 5 
 
 9 51.4 
 
 
 5 
 
 21 3.9 
 
 
 5 
 
 18 24.7 
 
 
 5 
 
 12 18.1 
 
 
 
 
 
 
 18.3 
 
 
 
 9.1 
 
 
 
 -11.3 
 
 
 - 3.6 
 
 
 
 
 
 10 9.7 
 
 
 
 
 21 13.0 
 
 
 
 
 18 10.4 
 
 
 
 
 12 14.5 
 
 
 
 
 
 
 19.8 
 
 
 
 7.8 
 
 
 
 -14.5 
 
 
 - a.s 
 
 
 
 7 
 
 10 29.5 
 
 
 7 
 
 21 20.8 
 
 
 7 
 
 17 55.9 
 
 
 7 12 12.0 
 
 
 
 
 
 
 ai.a 
 
 
 
 6.4 
 
 
 
 -14.6 
 
 
 
 - 1.5 
 
 
 
 8 
 
 10 50.7 
 
 
 8 
 
 21 27.2 
 
 
 8 
 
 17 41.3 
 
 
 8 
 
 12 10.5 
 
 
 
 
 
 
 22.6 
 
 
 
 5.1 
 
 
 
 -1 1.7 
 
 
 
 o.r> 
 
 
 
 9 
 
 11 13.3 
 
 
 9 
 
 21 32.3 
 
 
 9 
 
 17 20.0 
 
 
 9 
 
 12 10.0 
 
 
 
 
 
 
 +23.8 
 
 
 
 + 3.7 
 
 
 
 -14.9 
 
 
 
 + 0.6 
 
 
 
 1881.0 
 
 11 37.1 
 
 
 1884.0 
 
 21 30.0 
 
 
 1887.0 
 
 17 11.7 
 
 
 ]8:>o.o 
 
 12 10.0 
 
 
 
 
 
 
 25.1 
 
 
 
 2.6 
 
 
 
 -15.0 
 
 
 
 I." 
 
 
 
 1 
 
 12 2.2 
 
 
 1 
 
 21 38.0 
 
 
 1 
 
 10 50.7 
 
 
 1 
 
 12 12.3 
 
 
 
 
 
 
 26.0 
 
 
 
 1.4 
 
 
 
 -15.0 
 
 
 
 2.8 
 
 
 
 2 
 
 12 28.2 
 
 
 2 
 
 21 40.0 
 
 
 g 
 
 1C 41.7 
 
 
 2 
 
 12 15.1 
 
 
 
 
 
 
 26.7 
 
 
 
 + 0.2 
 
 
 
 -15.1 
 
 
 
 3.8 
 
 
 
 3 
 
 12 54.9 
 
 
 3 
 
 21 40.2 
 
 
 3 
 
 10 20.0 
 
 
 3 
 
 12 18.9 
 
 
 
 
 
 
 27.4 
 
 
 
 - 0.9 
 
 
 
 -15.0 
 
 
 
 5.0 
 
 
 
 4 
 
 13 22.3 
 
 
 4 
 
 21 39.3 
 
 
 4 
 
 10 ll.fi 
 
 
 4 
 
 12 23.9 
 
 
 
 
 
 
 +27.7 
 
 
 
 - 2.0 
 
 
 
 -15.0 
 
 
 
 + 6.1 
 
 
 
 5 
 
 13 50.0 
 
 27.9 
 
 5 
 
 21 37.3 
 
 - 3.0 
 
 5 
 
 15 50.0 
 
 -14.8 
 
 5 
 
 12 30.0 
 
 7.2 
 
 
 
 (i 
 
 14 17.9 
 
 
 C 
 
 21. 34.3 
 
 
 6 
 
 15 41.8 
 
 
 
 
 12 37.2 
 
 
 
 
 
 
 28.0 
 
 
 
 - 3.9 
 
 
 
 -14.7 
 
 
 
 8.3 
 
 
 
 7 
 
 14 45.9 
 
 
 7 
 
 SI 30.4 
 
 
 7 
 
 15 27.1 
 
 
 7 
 
 12 45.5 
 
 
 
 
 
 
 27.9 
 
 
 
 - 4.9 
 
 
 
 -14.4 
 
 
 
 9.4 
 
 
 
 8 
 
 ' 15 13.8 
 
 
 8 
 
 21 25.5 
 
 
 8 
 
 15 12.7 
 
 
 8 
 
 12 54.9 
 
 
 
 
 
 
 27.7 
 
 
 
 - 5.7 
 
 
 
 -14.2 
 
 
 
 10.4 
 
 
 
 9 
 
 15 41.5 
 
 
 9 
 
 21 19.8 
 
 
 9 
 
 14 58.5 
 
 
 9 
 
 13 5.3 
 
 
 
 
 
 
 +27.3 
 
 
 
 - 6.6 
 
 
 
 -14.0 
 
 
 
 +11.5 
 
 
 
 1882.0 
 
 10 8.8 | . 
 
 1685.0 
 
 21 13.2 
 
 
 18S8.0 
 
 14 44.5 
 
 
 1891.0 
 
 13 10.8 
 
 
 
 
 
 
 ab.y 
 
 
 
 - 7.2 
 
 
 
 -13.5 
 
 
 
 12.5 
 
 
 
 1 
 
 10 35.7 
 
 
 1 
 
 21 C.O 
 
 
 1 
 
 14 31.0 
 
 
 1 
 
 13 29.3 
 
 
 
 
 
 
 26.3 
 
 
 
 - 8.0 
 
 
 
 -13.3 
 
 
 
 13.5 
 
 
 
 2 
 
 17 2.0 
 
 
 2 
 
 20 58.0 
 
 
 2 
 
 14 17.7 
 
 
 2 
 
 13 42.8 
 
 
 
 
 
 
 25.fi 
 
 
 8.7 
 
 
 -12.8 
 
 
 
 14.4 
 
 
 
 3 
 
 17 27.5 
 
 
 3 
 
 20 49.3 
 
 3 
 
 14 4.9 
 
 
 3 
 
 33 57.2 
 
 
 
 
 
 
 24.7 
 
 
 - 9.4 
 
 
 
 -12.4 
 
 
 
 15.3 
 
 
 
 4 
 
 17 52.2 
 
 
 4 
 
 20 39.9 
 
 4 
 
 13 52.5 
 
 
 4 
 
 14 12.5 
 
 
 
 
 
 
 +33.6 
 
 
 - 9.9 
 
 
 
 -11.9 
 
 
 
 +16.1 
 
 
 
 5 
 
 18 15.8 
 
 
 5 
 
 20 30.0 I 
 
 5 
 
 13 40.0 
 
 
 5 
 
 14 28.0 
 
 
 
 
 
 
 23.6 
 
 
 1 -10.5 
 
 
 
 -11.5 
 
 
 
 16.8 
 
 
 
 <; 
 
 18 38.4 
 
 
 (i 
 
 20 19.5 
 
 
 
 13 29.1 
 
 
 
 
 14 45.4 
 
 
 
 
 
 
 21.4 
 
 
 -11.0 
 
 
 
 -10.8 
 
 
 
 17.6 
 
 
 
 7 
 
 18 59.8 
 
 
 7 
 
 20 8.5 
 
 
 7 
 
 13 18.3 
 
 
 7 
 
 15 3.0 
 
 
 
 
 
 
 20.2 
 
 
 
 -11.6 
 
 
 
 -10.3 
 
 
 
 18.1 
 
 
 
 8 
 
 19 20.0 
 
 
 8 
 
 19 50.9 
 
 
 8 
 
 13 8.0 
 
 
 8 
 
 -15 21.1 
 
 
 
 
 
 
 18.9 
 
 
 -12.0 
 
 
 
 - 9.5 
 
 
 
 18.7 
 
 
 
 9 
 
 19 38.9 
 
 
 9 
 
 19 44.9 
 
 9 
 
 12 58.5 
 
 
 9 15 39.8 
 
 
 
 
 
 
 +17.6 
 
 
 -12.4 
 
 
 
 - 8.9 
 
 
 +19.9 
 
 
 
 1883.0 
 
 19 50.5 
 
 
 188C.O 
 
 19 32.5 
 
 
 1889.0 
 
 12 49.0 
 
 
 1892.0 15 59.0 
 
 
 
 
THE FOURTH SATELLITE. 
 
 31 
 
 TABLE III. Perturbations of Jupiter and other Inequalities. 
 
 S S 8 
 
 1.1160035 (J + + (! E) + 493.2 (Ji + <!r) + (*) 15.581 sin (5 a 2 34.542) +16.694 sin (II 
 
 
 
 
 
 
 
 
 
 
 I 
 
 
 
 
 
 Years and 
 tenth*. 
 
 Perturb. 
 
 Diff. 
 
 Years and 
 
 telltllS. 
 
 Perturb. 
 
 Diff. 
 
 Years and 
 tentlis. 
 
 Perturb. 
 
 Diff. 
 
 Years and 
 tenths. 
 
 Perturb. 
 
 Diff. 
 
 
 
 
 11] S 
 
 
 
 Ill S 
 
 
 
 Ill S 
 
 
 
 Ill S 
 
 
 
 
 1892.0 
 
 15 59.0 
 
 i 
 
 +19.6 
 
 1894.0 
 
 22 5.0 
 
 P 
 +11.1 
 
 1896.0 
 
 2> 24.2 
 
 S 
 
 - 9.1 
 
 1898.0 
 
 18 15.7 
 
 s 
 -13.2 
 
 
 
 1 
 
 16 18.fi 
 
 20.0 
 
 1 
 
 22 16.4 
 
 10.4 
 
 1 
 
 22 15.1 
 
 - 9.7 
 
 1 
 
 18 2.5 
 
 -13.0 
 
 
 
 2 
 
 1C 38.C 
 
 20.3 
 
 2 
 
 22 26.8 
 
 9.9 
 
 2 
 
 22 5.4 
 
 -10.3 
 
 2 
 
 17 49.5 
 
 -12.7 
 
 
 
 a 
 
 16 58.9 
 
 90.5 
 
 3 
 
 22 36.0 
 
 8.9 
 
 3 
 
 21 55.1 
 
 -10.9 
 
 3 
 
 17 36.8 
 
 -12.5 
 
 
 
 4 
 
 17 19.4 
 
 
 4 
 
 22 44.2 
 
 
 4 
 
 21 41.2 
 
 
 4 
 
 17 24.3 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 1 
 
 
 +30.6 
 
 
 
 + 7.0 
 
 
 
 -11.3 
 
 
 
 -12.1 
 
 
 
 5 
 
 17 40.0 
 
 20.7 
 
 5 
 
 22 51.2 
 
 5.9 
 
 5 
 
 21 32.9 
 
 -11.8 
 
 5 
 
 17 12.2 
 
 -11.9 
 
 
 
 6 
 
 18 0.7 
 
 20.7 
 
 6 
 
 22 57.1 
 
 4.6 
 
 6 
 
 21 21.1 
 
 -19.2 
 
 6 
 
 17 0.3 
 
 -11.6 
 
 
 
 
 7 
 
 18 21.4 
 
 20.5 
 
 7 
 
 23 1.7 
 
 3.5 
 
 7 
 
 21 8.9 
 
 -19.5 
 
 7 
 
 16 48.7 
 
 -11.9 
 
 
 
 8 
 
 18 41.9 
 
 20.9 
 
 8 
 
 23 5.2 
 
 2.3 
 
 8 
 
 20 56.4 
 
 -13.8 
 
 8 
 
 16 37.5 
 
 -10.8 
 
 
 
 9 
 
 19 2.1 
 
 
 9 
 
 23 7.5 
 
 
 9 
 
 20 43.6 
 
 
 9 
 
 16 26.7 
 
 
 
 
 
 . 
 
 +19.9 
 
 
 
 + 1.9 
 
 
 
 -la.i 
 
 
 
 -10.4 
 
 
 
 1893.0 
 
 19 22.0 
 
 19.6 
 
 1895.0 
 
 23 8.7 
 
 0.0 
 
 1897.0 
 
 20 30.5 
 
 -13.9 
 
 1899.0 
 
 16 16.3 
 
 - 9.9 
 
 
 
 1 
 
 19 4I.C) 
 
 
 1 
 
 23 8.7 
 
 
 1 
 
 20 17.3 
 
 
 1 
 
 16 6.4 
 
 
 
 
 
 
 18.9 
 
 
 
 - 1.1 
 
 
 
 -13.3 
 
 
 
 - 9.4 
 
 
 
 2 
 
 20 0.5 
 
 18.4 
 
 2 
 
 23 7.6 
 
 - 9.1 
 
 2 
 
 20 4.0 
 
 -13.5 
 
 2 
 
 15 57.0 
 
 - 9.0 
 
 
 
 3 
 
 20 18.9 
 
 
 3 
 
 23 5.5 
 
 
 3 
 
 19 50.5 
 
 
 3 
 
 15 48.0 
 
 
 
 
 
 
 17.7 
 
 
 
 - 3.6 
 
 
 
 -13.5 
 
 
 
 - 8.3 
 
 
 
 4 
 
 20 30.6 
 
 
 4 
 
 23 1.9 
 
 
 4 
 
 19 37.0 
 
 
 4 
 
 15 39.7 
 
 
 
 
 
 
 +17.0 
 
 
 
 - 3.8 
 
 
 
 -13.6 
 
 
 
 - 7.8 
 
 
 
 5 
 
 20 53.6 
 
 16.1 
 
 5, 
 
 22 58.1 
 
 - 5.1 
 
 5 
 
 19 23.4 
 
 -13.6 
 
 5 
 
 15 31.9 
 
 - 7.2 
 
 
 
 (i 
 
 21 9.7 
 
 15.9 
 
 6 
 
 '22 53.0 
 
 - 6.0 
 
 6 
 
 19 9.8 
 
 -13.6 
 
 6 
 
 15 24.7 
 
 - 6.5 
 
 
 
 7 
 
 21 24.9 
 
 
 7 
 
 22 47.0 
 
 
 7 
 
 18 56.2 
 
 
 7 
 
 15 18.2 
 
 
 
 
 
 
 14.4 
 
 
 
 - 6.8 
 
 
 
 -13.6 
 
 
 
 - 5.8 
 
 
 
 8 
 
 21 39.3 
 
 
 8 
 
 22 40.2 
 
 
 8 
 
 18 42.6 
 
 
 8 
 
 15 12.4 
 
 
 
 
 
 
 13.3 
 
 
 
 - 7.7 
 
 
 
 -13.5 
 
 
 - 5.1 
 
 
 
 9 
 
 21 52.6 
 
 
 9 
 
 22 32.5 
 
 
 9 
 
 18 29.1 
 
 
 9 15 7.3 
 
 
 
 
 
 
 +19.4 
 
 
 
 - 8.3 
 
 
 
 -13.4 
 
 
 - 4.3 
 
 
 
 1894.0 
 
 22 5.0 
 
 
 1896.0 
 
 22 24.2 
 
 
 1898.0 
 
 18 15.7 
 
 
 1900.0 15 3.0 
 
 
 
 
 
TABLE A. 
 
 LONGITUDES OF OBSERVATORIES. 
 
 West longitudes, positive. 
 
 
 
 
 Place of Observatory. 
 
 Longitude from 
 Paris. 
 
 Place of Observatory. 
 
 Longitude from 
 Paris. 
 
 
 
 Abo 
 
 li in R 
 1 19 47.3 
 + 54 20.3 
 + 5 29 23.8 
 30 25.1 
 + 5 44 10.2 
 
 + 35 5(5.5 
 1 25 34.1 
 44 14.3 
 17 44.3 
 19 3.0 
 
 58 48.7 
 8 7.8 
 4-08 58.4 
 + 4 53 52.0 
 1 4 34.6 
 
 
 li in s 
 + 21 21.1 
 511 30.2 
 + 24 0.4 
 24 30.0 
 + 43 9.4 
 
 12 7.5 
 27 25.2 
 34 22.5 
 2 20 55.8 
 37 5.0 
 
 47 37.9 
 + 5 5 17.7 
 I 58 33.1 
 
 
 Mtttlras 
 
 
 
 
 
 
 
 
 
 
 
 
 
 Bilk . . . 
 
 
 
 
 
 Naples 
 
 
 
 
 
 
 59 42.4 
 + 14 23.7 
 
 38 8.2 
 44 4.0 
 9 54 45.2 
 
 
 Oxford 
 
 
 + 5 59 47.8 
 33 33.2 
 + 5 47 20.1 
 + 5 10 58.5 ' 
 40 57.0 
 
 + 4 6 6.0 
 1 10 29.8 
 1 37 33.0 
 + 34 43.1 
 + 15 40.8 
 
 + 022 4.1 
 35 42.1 
 15 Ki.2 
 + 5 17 39.4 
 30 25.5 
 
 33 29.9 
 + 9 21.1 
 30 32.5 
 1 30 28.3 
 + 5 35 5.2 
 
 37 7.7 
 1 12 38.4 
 47 12.0 
 40 13.4 
 08 35.1 
 
 
 
 
 
 
 
 
 + 5 9 59.5 
 48 20.5 
 
 1 51 57.0 
 
 Copenhagen 
 
 
 
 
 Koine 
 
 40 35.1 
 + 34 10.1! 
 + 4 52 3.4 
 50 29.0 
 
 24 25.0 
 I 2 53.3 
 1 51 52.1 
 1 1 9.7 
 Oil 10.0 
 
 50 11.1 
 + 5 17 33.2 
 -1 31 50.3 
 
 
 Dublin 
 
 
 
 
 
 
 
 
 
 St Petei'sbnr" 
 
 
 
 
 Utrecht 
 
 Gotha 
 
 
 
 
 
 Wilnii 
 
 
 
 
 
 Koenigsber*; 
 Ivremsmnenster 
 
 
 Leyden . 
 
 
TABLES 
 
 FOR 
 
 FINDING THE CONFIGURATIONS 
 
 OF THE 
 
 SATELLITES OF JUPITER. 
 
34 
 
 THE FIRST SATELLITE. 
 
 TABLE I. Epochs of the Mean Longitude, and the Arguments of the Inequalities, 
 
 for January 1, Pans menu midnight. 
 
 
 
 
 
 
 
 
 
 YEARS. 
 
 Mean Longitude. 
 
 1 
 
 . 2 
 
 3 
 
 4 
 
 5 
 
 
 1880 B 
 
 S. o 
 
 6 9.80 
 
 8. 
 
 9 19.2 
 
 S. o 
 
 11 8.4 
 
 0?8 
 
 * 
 
 2 5.9 
 
 " 
 
 7 24.6 
 
 
 1881 
 
 4 26.77 
 
 8 19.5 
 
 8.8 
 
 1.0 
 
 1 1 29.7 
 
 6 11.5 
 
 
 1882 
 
 8 20.25 
 
 7 18.9 
 
 1 9.1 
 
 1.3 
 
 6 11.4 
 
 10 5.0 
 
 
 1883 
 
 13.73 
 
 6 18.4 
 
 2 9.5 
 
 1.1 
 
 23.1 
 
 1 28.5 
 
 
 1884 B 
 
 4 7.21 
 
 5 17.8 
 
 3 9.8 
 
 0.8 
 
 7 4.8 
 
 5 22.0 
 
 
 1885 
 
 2 24.18 
 
 4 18.1 
 
 4 10.2 
 
 1.6 
 
 4 28.6 
 
 4 8.9 
 
 
 
 
 
 
 
 
 
 
 1886 
 
 6 17.67 
 
 3 17.5 
 
 5 10.5 
 
 1.3 
 
 1 1 10.3 
 
 8 2.4 
 
 
 1887 
 
 10 11.15 
 
 2 16.9 
 
 6 10.8 
 
 1.1 
 
 5 22.0 
 
 11 25.9 
 
 
 1888 B 
 
 2 4.63 
 
 1 16.4 
 
 7 11.2 
 
 0.8 
 
 3.7 
 
 3 19.4 
 
 
 1889 
 
 21.61 
 
 16.7 
 
 8 11.6 
 
 1.6 
 
 9 27.5 
 
 2 6.3 
 
 
 1890 
 
 4 15.09 
 
 11 16.1 
 
 9 11.9 
 
 1.3 
 
 4 9.2 
 
 5 29.8 
 
 
 1891 
 
 8 8.57 
 
 10 15.5 
 
 10 12.2 
 
 1.1 
 
 10 20.9 
 
 9 23.2 
 
 
 1892 B 
 
 2.05 
 
 9 14.9 
 
 1 1 12.6 
 
 0.8 
 
 5 2.6 
 
 1 16.7 
 
 
 1893 
 
 10 19.03 
 
 8 15.3 
 
 13.0 
 
 1.6 
 
 2 26.4 
 
 3.6 
 
 
 1894 
 
 2 12.51 
 
 7 14.7 
 
 1 13.3 
 
 1.3 
 
 9 8.1 
 
 3 27.1 
 
 
 1895 
 
 6 5.99 
 
 6 14.1 
 
 2 13.6 
 
 1.1 
 
 3 19.8 
 
 7 20.6 
 
 
 189(5 B 
 
 9 29.47 
 
 5 13.5 
 
 3 14.0 
 
 0.8 
 
 10 1.5 
 
 11 14.1 
 
 
 1897 
 
 8 16.45 
 
 4 13.8 
 
 4 14.4 
 
 1.5 
 
 7 25.3 
 
 10 1.0 
 
 
 1898 
 
 9.93 
 
 3 13.3 
 
 5 14.7 
 
 1.2 
 
 2 7.0 
 
 1 24.5 
 
 
 
 
 
 
 
 
 
 
 1899 
 
 4 3.41 
 
 2 12.7 
 
 6 15.0 
 
 1.0 
 
 8 18.7 
 
 5 17.9 
 
 
 1900 
 
 7 26.89 
 
 1 12.1 
 
 7 15.3 
 
 0.8 
 
 3 0.4 
 
 9 11.4 
 
 
 
 
 
 
 
 
 
 
THE SECOND SATELLITE. 
 
 35 
 
 TABLE I. Epochs of the Mean Longitude, and the Arguments of the Inequalities, 
 
 lor January 1, Paris mean midnight. 
 
 
 
 
 
 
 
 
 
 
 
 
 
 YEARS. 
 
 Mean 
 Longitudf. 
 
 1 
 
 2 
 
 3 
 
 4 
 
 K 
 
 6 
 
 7 
 
 
 
 1880 B 
 
 s - 
 
 4 3.87 
 
 * 
 
 9 19.2 
 
 8. 
 
 11 8.4 
 
 S. o 
 
 0.8 
 
 S. o 
 
 10 2.9 
 
 " 
 
 5 18.7 
 
 " 
 
 5 0.2 
 
 
 
 9 10.6 
 
 
 
 1881 
 
 4 27.04 
 
 8 19.5 
 
 8.8 
 
 1.6 
 
 8 29.8 
 
 6 1 1.8 
 
 6 5.4 
 
 10 6.3 
 
 
 
 1883 
 
 a 8.82 
 
 7 18.9 
 
 1 9.1 
 
 1.3 
 
 6 5.7 
 
 3 23.6 
 
 3 29.3 
 
 7 20.6 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 1883 
 
 1 1 20.61 
 
 ti 18.4 
 
 2 9.5 
 
 1.1 
 
 3 11.5 
 
 1 5.4 
 
 1 23.1 
 
 5 4.9 
 
 
 
 1884 B 
 
 9 2.40 
 
 5 17.8 
 
 3 9.8 
 
 0.8 
 
 17.4 
 
 10 17.2 
 
 11 17.0 
 
 2 19.3 
 
 
 
 1885 
 
 9 25.56 
 
 4 18.1 
 
 4 10.2 
 
 1.6 
 
 11 14.3 
 
 11 10.3 
 
 22.2 
 
 3 15.0 
 
 
 
 1886 
 
 7 7.35 
 
 3 17.5 
 
 5 10.5 
 
 1.3 
 
 8 20.1 
 
 8 22.1 
 
 10 16.0 
 
 29.3 
 
 
 
 1887 
 
 4 19.14 
 
 2 16.9 
 
 6 10.8 
 
 1.1 
 
 5 26.0 
 
 6 3.9 
 
 8 9.9 
 
 10 13.6 
 
 
 
 1888 B 
 
 2 0.93 
 
 1 16.4 
 
 7 11.2 
 
 0.8 
 
 3 1.8 
 
 3 15.6 
 
 6 3.7 
 
 7 27.9 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 1889 
 
 2 24.09 
 
 16.7 
 
 8 11.6 
 
 1.6 
 
 1 28.7 
 
 4 8.8 
 
 7 9.0 
 
 8 23.7 
 
 
 
 1890 
 
 5.88 
 
 11 16.1 
 
 9 11.!) 
 
 1.3 
 
 11 4.6 
 
 1 20.6 
 
 5 2.8 
 
 6 8.0 
 
 
 
 1891 
 
 9 17.67 
 
 10 15.5 
 
 10 12.2 
 
 1.1 
 
 8 10.4 
 
 1 1 2.3 
 
 2 26.7 
 
 3 22.3 
 
 
 
 1892 B 
 
 29.45 
 
 9 14.9 
 
 11 12.6 
 
 0.8 
 
 5 16.3 
 
 8 14.1 
 
 20.5 
 
 1 6.6 
 
 
 
 1893 
 
 7 22.62 
 
 8 15.3 
 
 13.0 
 
 1.6 
 
 4 13.2 
 
 9 7.3 
 
 1 25.8 
 
 2 2.3 
 
 
 
 1894 
 
 5 4.41 
 
 7 14.7 
 
 1 13.3 
 
 1.3 
 
 1 19.0 
 
 6 19.0 
 
 11 19.6 
 
 11 16.7 
 
 
 
 1895 
 
 2 16.19 
 
 6 14.1 
 
 2 13.6 
 
 1.1 
 
 10 24.9 
 
 4 0.8 
 
 9 13.5 
 
 9 1.0 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 1896 B 
 
 11 27.98 
 
 5 13.5 
 
 3 14.0 
 
 0.8 
 
 8 0.7 
 
 1 12.6 
 
 7 7.3 
 
 6 15.3 
 
 
 
 1897 
 
 21.14 
 
 4 13.8 
 
 4 14.4 
 
 1.5 
 
 (i 27.6 
 
 2 5.7 
 
 8 12.6 
 
 7 11.0 
 
 
 
 1898 ' 
 
 10 2.93 
 
 3 13.3 
 
 5 14.7 
 
 1.2 
 
 4 3.5 
 
 11 17.5 
 
 6 6.4 
 
 4 25.4 
 
 
 
 1899 
 
 7 14.72 
 
 2 12.7 
 
 6 15.0 
 
 1.0 
 
 1 9.3 
 
 . 8 29.3 
 
 4 0.2 
 
 2 9.7 
 
 
 
 1900 
 
 4 26.51 
 
 1 12.1 
 
 7 15.3 
 
 0.8 
 
 10 15.2 
 
 6 11.0 
 
 1 24.1 
 
 11 24.0 
 
 
 
 
 
 
 
 
 
 
 
 
 
36 
 
 THE THIRD SATELLITE. 
 
 TABLE I. Epochs of the Mean Longitude, and the Arguments of the Inequalities, 
 
 for January 1, Paris mean midnight- 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 YEARS. 
 
 Mean 
 Longitude. 
 
 1 
 
 2 
 
 3 
 
 4 
 
 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 
 1880 B 
 
 8. 
 
 6 0.92 
 
 S. o 
 
 9 19.2 
 
 S. 
 
 11 8.4 
 
 8. o 
 
 0.8 
 
 B. o 
 
 10 2.9 
 
 8. o 
 
 8 5.5 
 
 8- 
 
 8 28.0 
 
 8- 
 
 7 15.8 
 
 s. 
 11 7.6 
 
 8- 
 
 11 20.7 . 
 
 
 1881 
 
 7 27.18 
 
 8 19.5 
 
 8.8 
 
 1.6 
 
 8 29.8 
 
 9 29.1 
 
 10 23.6 
 
 9 12.0 
 
 1 6.4 
 
 1 17.7 
 
 
 1882 
 
 8 3.12 
 
 7 18.9 
 
 1 9.1 
 
 1.3 
 
 6 5.7 
 
 10 2.5 
 
 10 28.8 
 
 9 18.0 
 
 1 14.9 
 
 I 24.3 
 
 
 1883 
 
 8 9.06 
 
 6 18.4 
 
 2 9.5 
 
 1.1 
 
 3 11.5 
 
 10 5.8 
 
 11 4.0 
 
 9 23.9 
 
 1 23.4 
 
 2 0.9 
 
 
 1884 B 
 
 8 15.00 
 
 5 17.8 
 
 3 9.8 
 
 0.8 
 
 17.4 
 
 10 9.1 
 
 11 9.3 
 
 9 29.9 
 
 2 1.9 
 
 2 7.6 
 
 
 1885 
 
 10 11.26 
 
 4 18.1 
 
 4 10.2 
 
 1.6 
 
 11 14.3 
 
 2.7 
 
 1 4.8 
 
 11 26.0 
 
 4 0.7 
 
 4 4.5 
 
 
 1886 
 
 10 17.20 
 
 3 17.5 
 
 5 10.5 
 
 1.3 
 
 8 20.1 
 
 6.1 
 
 1 10.1 
 
 2.0 
 
 4 9.2 
 
 4 11.1 
 
 
 1887 
 
 10 23.14 
 
 2 16.9 
 
 6 10.8 
 
 1.1 
 
 5 26.0 
 
 9.4 
 
 1 15.3 
 
 8.0 
 
 4 17.6 
 
 4 17.7 
 
 
 1888 B 
 
 10 29.08 
 
 1 16.4 
 
 7 11.2 
 
 0.8 
 
 3 1.8 
 
 12.7 
 
 1 20.5 
 
 13.9 
 
 4 26.1 
 
 4 24.3 
 
 
 1889 
 
 25.34 
 
 16.7 
 
 8 11.6 
 
 1.6 
 
 1 28.7 
 
 2 6.3 
 
 3 16.1 
 
 2 10.1 
 
 6 24.9 
 
 6 21.3 
 
 
 1890 
 
 1 1.28 
 
 11 16.1 
 
 9 11.9 
 
 1.3 
 
 11 4.6 
 
 2 9.7 
 
 3 21.3 
 
 2 16.0 
 
 7 3.4 
 
 6 27.9 
 
 
 1891 
 
 1 7.22 
 
 10 15.5 
 
 10 12.2 
 
 1.1 
 
 8 10.4 
 
 2 13.0 
 
 3 26.5 
 
 2 22.0 
 
 7 11.9 
 
 7 4.5 
 
 
 1892 B 
 
 1 13.16 
 
 9 14.9 
 
 11 12.6 
 
 . 0.8 
 
 5 16.3 
 
 2 16.3 
 
 4 1.7 
 
 2 27.8 
 
 7 20.4 
 
 7 11.1 
 
 
 1893 
 
 3 9.42 
 
 8 15.3 
 
 13.0 
 
 1.6 
 
 4 13.2 
 
 4 10.0 
 
 5 27.3 
 
 4 24.2 
 
 9 19.2 
 
 9 8.1 
 
 
 1894 
 
 3 15.36 
 
 7 14.7 
 
 1 13.3 
 
 1.3 
 
 1 19.0 
 
 4 13.3 
 
 6 2.5 
 
 5 0.0 
 
 9 27.6 
 
 9 14.7 
 
 
 1895 
 
 3 21.30 
 
 6 14.1 
 
 2 13.6 
 
 1.1 
 
 10 24.9 
 
 4 16.6 
 
 6 7.8 
 
 5 6.0 
 
 10 6.1 
 
 9 21.3 
 
 
 1896 B 
 
 3 27.24 
 
 5 13.5 
 
 3 14.0 
 
 0.8 
 
 8 0.7 
 
 4 19.9 
 
 6 13.0 
 
 5 11.9 
 
 10 14.6 
 
 9 27.9 
 
 
 1897 
 
 5 23.50 
 
 4 13.8 
 
 4 14.4 
 
 1.5 
 
 6 27.6 
 
 6 13.6 
 
 8 8.5 
 
 7 8.2 
 
 13.4 
 
 11 24.9 
 
 
 1898 
 
 5 29.44 
 
 3 13.3 
 
 5 14.7 
 
 1.2 
 
 4 3.5 
 
 6 16.9 
 
 8 13.7 
 
 7 14.0 
 
 21.9 
 
 1.5 
 
 
 1899 
 
 6 5.38 
 
 2 12.7 
 
 6 15.0 
 
 1.0 
 
 1 9.3 
 
 6 20.2 
 
 8 18.9 
 
 7 20.0 
 
 1 0.4 
 
 8.1 
 
 
 1900 
 
 6 11.32 
 
 1 12.1 
 
 7 15.3 
 
 0.8 
 
 10 15.2 
 
 6 23.5 
 
 8 24.2 
 
 7 25.9 
 
 1 8.8 
 
 14.7 
 
 
 
 
 
 
 
 
 
 
 
 
 
THE FOURTH SATELLITE. 
 
 37 
 
 TABLE I. Epochs of the Mean Longitude, and the Arguments of the Inequalities, 
 
 for January 1, Paris mean midnight. 
 
 
 
 
 
 
 YEARS. 
 
 Mean 
 Longitude. 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 1880 B 
 
 " 
 
 11 17.40 
 
 9 19?2 
 
 8. 
 
 11 8.4 
 
 0.8 
 
 * 
 
 2 14.4 
 
 S. o 
 
 1 2.2 
 
 8. 
 
 5 7.2 
 
 8. o 
 
 4 24.1 
 
 
 1881 
 
 10 22.42 
 
 8 19.5 8.8 
 
 1.6 1 18.7 
 
 7.2 4 12.9 
 
 4 1.6 
 
 
 
 1882 
 
 9 5.88 
 
 7 18.9 
 
 1 9.1 
 
 1.3 
 
 1.5 
 
 10 20.7 
 
 2 27.0 
 
 2 17.6 
 
 
 
 1883 
 
 7 19.33 
 
 6 18.4 
 
 2 9.5 
 
 I.I 
 
 10 14.2 
 
 9 4.1 
 
 1 11.2 
 
 1 3.6 
 
 
 
 1884 B 
 
 C 2.79 
 
 5 17.8 
 
 3 9.8 
 
 0.8 8 27.0 
 
 7 17.6 11 25.3 
 
 11 19.6 
 
 1885 
 
 5 7.81 
 
 4 18.1 
 
 4 10.2 
 
 1.6 8 1.3 6 22.6 
 
 11 1.0 
 
 10 27.2 
 
 1886 
 
 3 21.27 
 
 3 17.5 
 
 5 10.5 
 
 1.3 6 14.0 5 6.0 9 15.1 
 
 9 13.2 
 
 1887 
 
 a 4.72 2 16.9 6 10.8 
 
 1.1 4 26.8 
 
 3 19.4 7 29.3 
 
 7 29.2 
 
 
 1888 B 
 
 18.18 1 16.4 7 11.2 
 
 0.8 3 9.5 2 2.9 
 
 6 13.4 
 
 6 15.2 
 
 1889 
 
 11 23.20 16.7 8 11. <i 
 
 1.6 2 13.8 1 7.9 5 19.1 
 
 5 22.7 
 
 1890 
 
 10 6.66 
 
 11 16.1 9 11.9 
 
 1.3 26.5 11 21.3 4 3.2 
 
 4 8.7 
 
 1891 
 
 8 20.11 
 
 10 15.5 
 
 10 12.2 
 
 1.1 11 9.3 10 4.8 
 
 2 17.4 
 
 2 24.7 
 
 1892 B 
 
 7 3.57 
 
 9 14.9 
 
 11 12.6 
 
 0.8 
 
 9 22.0 
 
 8 18.2 
 
 1 1.5 
 
 1 10.7 
 
 
 1893 
 
 6 8.60 
 
 8 15.3 
 
 13.0 
 
 1.6 8 26.4 
 
 7 23.2 
 
 7.2 
 
 18.3 
 
 
 1894 
 
 4 22.05 
 
 7 14.7 
 
 1 13.3 
 
 1.3 
 
 7 9.1 
 
 6 6.7 
 
 10 21.3 
 
 11 4.3 
 
 
 1895 
 
 3 5.50 
 
 6 14.1 
 
 2 13.6 
 
 1.1 
 
 5 21.8 
 
 4 20.1 
 
 9 5.5 
 
 9 20.3 
 
 1896 B 
 
 1 18.96 
 
 5 J3.5 
 
 3 14.0 
 
 0.8 
 
 4 4.6 3 3.6 7 19.6 
 
 8 6.3 
 
 
 1897 
 
 23.99 
 
 4 13.8 
 
 4 14.4 
 
 1.5 
 
 3 8.9 2 8.6 
 
 6 25.3 
 
 7 13.8 
 
 
 
 
 
 I 
 
 . 
 
 
 ' 
 
 
 
 1898 
 
 1 1 7.44 
 
 3 13.3 
 
 5 14.7 
 
 1.2 1 21.6 22.0 5 9.4 
 
 5 29.8 
 
 
 
 1899 
 
 9 20.90 
 
 2 12.7 
 
 6 15.0 
 
 1.0 4.4 11 5.4 3 23.6 
 
 4 15.8 
 
 
 
 1900 
 
 8 4.35 
 
 1 12.1 
 
 7 15.3 
 
 0.8 
 
 10 17.1 
 
 9 18.9 
 
 2 7.7 
 
 3 1.8 
 
 
 
 
CORRECTIONS TO THE 
 
 TABLES ECLIPTIQUES DBS SATELLITES DE JUPITER, ETC., 
 
 PAR LE BARON DE DAMOISEAU, PARIS, 1836. 
 
 Page. 
 
 (Ill), tenth line from the bottom, 
 
 (iv), second line, 
 
 (V), tt,, M m . 
 
 (VI), Table X, third term, 
 
 (vil), eighteenth line, 
 
 ( vil), eleventh line from the bottom, 
 
 (VII), Table XII, 
 
 (VIII), Table XXV, 
 
 (VHI), Tables XXVIII XXXII, 
 
 (VIIl), II , 
 
 (ix), Table XII, third term, 
 
 (x), twelfth line, 
 
 (XIV), ninth line from the bottom, 
 
 (XIV ), sixth line from the bottom, 
 
 (XVll), nineteenth line, 
 
 2, Conjunctions Moyennes, 1755, 
 
 6, Conjonctions Moyennes, 1847, 
 
 7, Arg. 5,1848, 
 
 9, Arg. 5, Janvier 14, 
 
 10, Arg. 4, Mars 6, 
 
 10, Arg. 3, Avril 23, 
 
 11, Arg. 8, Fe>rier 6, 
 
 12, Arg. 1, Mai 5, 
 12, Arg. 1, Mai 25, 
 
 14, Arg. 1, Juillet 29, 
 
 15, Arg. 9, Septemb. 22, 
 If), Arg. I, Septemb. 22, 
 
 16, Revolutions, Octobre 27, 
 
 17, Arg. V, Novemb. 25, 
 25, Diff. 1847,2 to 1847,3, 
 20, Perturb. 1H60,1, 
 
 32, I' 4, 
 
 32, X- 16, 
 
 33, V s Equation 22, 
 35, I'Diff. 28 to 29, 
 35, II s Diff. 26 to 30, 
 
 35, III- Diff. 17 to 18, 
 
 36, Arg. 1, III" 20, Arg. 3, XI s to 30, 
 
 37, Arg. 1, VI" 0, Arg. 3, XI' 10, 
 
 38, Arg. a, IP 0, Arg. 3, IX' 20, 
 
 39, top of page, 
 
 39, Arg. a, XI- 10, Arg. 3, I" 0, 
 
 for ' 2 u u + T n , 
 
 read 
 
 , 2u,, + - m 
 
 
 for I, II, III, IV. relativement 
 
 read 
 
 1. II. Ill, relativement 
 
 
 for 11. 27,7519 
 
 read 
 
 HI. 27.7519 
 
 
 for +0"2,18cos(l)cos3[3 E+E'] 
 
 read 
 
 + 0",218 cos ( 1 ) cos 3 [ 3 E +E' ] 
 
 for u m T m + 1,0015 
 
 read 
 
 ., 5r m + 1,0016 4 
 
 
 for +i.~i D" 51)' 
 
 read 
 
 + i . 7J 3 h 59' 
 
 
 for 0",115cos2(8) 
 
 read 
 
 0",115eos(8) 
 
 
 for 0,008979 . sin (III + 1.0026 K) 
 
 read 
 
 0,008979 . sin (III + 1.0016 E) 
 
 for N = 2P P 
 
 read 
 
 N = 2P P-> 
 
 
 for 9. 6, 1550 
 
 read 
 
 9. 8,1550 
 
 
 for + 0"2,18cos(l)cos3[3 E+E'] 
 
 read 
 
 + 0",218 COB (1) cos 3[3 E+E 
 
 '1 
 
 for XIX 
 
 read 
 
 XXIX 
 
 
 for les tables XXIII XXVI 
 
 read 
 
 l.'s tables XXIII XXVII 
 
 
 for la table XXVII 
 
 read 
 
 la table XXVIII 
 
 
 for 2I + VI 
 
 read 
 
 aI + 6 
 
 
 for 1 10. 26. 28,1 
 
 read 
 
 1 10. 26. 8,1 
 
 
 for 2 0. 8. 27,1 
 
 read 
 
 2 0. 8. 27,0 
 
 
 for 3. 24,6 
 
 read 
 
 3. 25,6 
 
 
 for 0. 6,7 
 
 read 
 
 0. 8,7 
 
 
 /or 6. 26,98 
 
 read 
 
 6. 26,93 
 
 
 for 3. 12,93 
 
 read 
 
 3. 12,23 
 
 
 /or 027,0 
 
 read 
 
 27,8 
 
 
 for 2. 10,441 
 
 read 
 
 0. 10,441 
 
 
 /or 1. 12,058 
 
 read 
 
 0. 12,058 
 
 
 for 0. 17,490 
 
 read 
 
 0. 17,499 
 
 
 for 6. 16,3 
 
 read 
 
 6. 16,8 
 
 
 /or 0. 22,08 
 
 read 
 
 0. 22,06 
 
 
 for 21. 1. 51,7 
 
 read 
 
 21. 1. 50,7 
 
 
 for 1. 26,7 
 
 read 
 
 0. 26,7 
 
 
 /or 0,6 
 
 rmd 
 
 0,7 
 
 
 for 2. 27,9 
 
 read 
 
 2. JL7,9 
 
 
 /or 2,01 
 
 read 
 
 3,01 
 
 
 for 0,55 
 
 read 
 
 0.57 
 
 
 /or 0. 46. 15,6 
 
 read 
 
 0. 46. 13,6 
 
 
 for 6,5 
 
 read 
 
 6,6 
 
 
 /or 8,3 8,3 8,2 8,1 
 
 read 
 
 8,4 8,4 8,4 8,4 
 
 
 /or 3,5 
 
 read 
 
 ,8,5 
 
 
 for 1,5 1.5 1.5 1,4 
 
 read 
 
 1,6 1,6 1,6 1,6 
 
 
 for 2,0 
 
 read 
 
 2,1 
 
 
 /or 6,6 
 
 read 
 
 6,2 
 
 
 /or Suite de la TABLE XI 
 
 read 
 
 Suite d la TABLE XII 
 
 
 for 1,8 
 
 read 
 
 1,3 
 
 
CORRECTIONS TO DE DAMOISEAll'S TABLES ECLIPTIQUES, PARIS, 1836. 
 
 39 
 
 Page, 
 
 
 41, 
 
 top of |>ilge. 
 
 42, 
 
 heading of second column, 
 
 43, 
 
 I s R&luct. 23, 
 
 44, 
 
 III"Nombre20, 
 
 45. 
 
 Arg. 0,4000, P, 
 
 53, 
 
 Arg. 1, 1838, 
 
 58, 
 
 Revolutions, Novcnil). 15. 
 
 72, 
 
 \' Eolation 27, 
 
 7:!, 
 
 IX 8 Diff. 20 to 21, 
 
 75. 
 
 Arg. 1, 0" 20, Arg. 3, VIII s 0, 
 
 75, 
 
 Arg. 1, V" 10, Arg. 3, IV s 10. 
 
 75, 
 
 Arg. 1, V 10, Arg. 3, IV 20, 
 
 78, 
 
 Arg. I, X s 20, Arg. 3, IX- 20, 
 
 76, 
 
 Arg. 1, XI" 10, Arg. 3, X- 0, 
 
 78, 
 
 Arg. 2, VI" 20, Arg. 3. Ill" 10, 
 
 80, 
 
 IX" Squat. 15, 
 
 a r >, 
 
 IIIl)iif. 3 c to5, 
 
 88, 
 
 Arg. 1,1400 to 1,1500, Diff., 
 
 92, 
 
 Conjonctione Moyennes, 1769, 
 
 93, 
 
 Arg'. 9, 1772, 
 
 96, 
 
 Arg. 3, 1863, 
 
 97, 
 
 Arg. 8, 1857, 
 
 97, 
 
 Ar- 11,1857, 
 
 98, 
 
 Arg. 5, 1867, 
 
 98, 
 
 Arg. 5, Miii 1, 
 
 98, 
 
 Arg. 5, Mai 8, 
 
 99, 
 
 Arg. IV, 1877, 
 
 100, 
 
 Arg. 5. Mai 10. 
 
 109, 
 
 Diff. 1869,6 to 1869,7, 
 
 111, 
 
 VIII" 16, 
 
 111, 
 
 IX 6 16, 
 
 115, 
 
 first column, 
 
 118, 
 
 Arg. 1, V 20, Arg. 3, X" 0, 
 
 119, 
 
 Arg. 1,VI"10, Arg. 3, II" 0, 
 
 119, 
 
 Arg. 1, VIII s 10, Art. 3, 0>20, 
 
 119, 
 
 Arg. 1, XI" 0, Arg. 3, V"20, 
 
 121, 
 
 Arg. 2, VI" 20, Arg. 3, III s 10, 
 
 122, 
 
 III s Squat. 11, 
 
 122, 
 
 III s Diff. 10 to 12, 
 
 123, 
 
 X s Squat. 6, 
 
 123, 
 
 VIP Squat. 15, 
 
 124, 
 
 top of columns 0" XI s , 
 
 125, 
 
 first column. 
 
 125, 
 
 s Equation 1, 
 
 126, 
 
 VIII" Equation 11, 
 
 127, 
 
 IV" Diff. 27 to 28, 
 
 127, 
 
 VIII" Diff. to 1, 
 
 129, 
 
 V" R&luct. 3, 
 
 133, 
 
 VI" Nombre 8, 
 
 134, 
 
 V" 20, 
 
 135, 
 
 VIII" 16, 
 
 135, 
 
 VIII" 17, 
 
 136, 
 
 Arg. 0,16000, Demi-dnre'es, 
 
 136, 
 
 second column of Arg., 
 
 130, 
 
 Arg. 0,46000, N, 
 
 far Suite de la TABLE V 
 
 for Argument 3 
 
 for 0,7 
 
 for 0,5700 
 
 for 1000 
 
 for 10. 0,9 
 
 for 20. 50. 36,3 
 
 for 1. 24. 36,6 
 
 for 23,7 
 
 for 2,1 
 
 for 0,3 
 
 for 1,6 
 
 for 1,9 
 
 for 1,5 
 
 for 9,7 
 
 for 22. 32,2 
 
 for 5 6 
 
 for 3 2 
 
 for 5 0. 9.- 33,8 
 
 for 4. 3,2 
 
 for 3. 23,33 
 
 for 7. 28,8 
 
 for 3. 16,96 
 
 for 8. 23,8 
 
 for 8. 2 
 
 for 3. 2,1 
 
 for S. 4,3 
 
 far 14",2 
 
 for 10,1 
 
 for 0,1 
 
 for 0,3 
 
 far 4 3 2 1 5 
 
 for 1,6 
 
 for 1,6 
 
 far 2,0 
 
 for 0,5 
 
 for 9,7 
 
 far 4. 5,4 . 
 
 far 0,5 0,4 
 
 far 0. 21,1 
 
 for 0. 37,7 
 
 for 27,9, 8,7, etc. 
 
 for 4 3 2 1 5 
 
 far 4. 12,2 
 
 for 8. 23,3 
 
 far 1,1 
 
 far 0",7 
 
 far 2. 41,8 
 
 far 0,01028 
 
 for 0,02547 
 
 far 7,00352 
 
 for 0,0352 
 
 for 1. 6. 31,2 
 
 for 0,3100, 0,3200, 0,3300, etr. 
 
 for 0,62 
 
 read 
 
 Suite de la TABLE XIII 
 
 read 
 
 Argument 5 
 
 read 
 
 0,9 
 
 read 
 
 0,6700 
 
 read 
 
 1,00 
 
 read 
 
 10. 5,9 
 
 read 
 
 20. 50. 36,2 
 
 read 
 
 1. 24. 26,6 
 
 read 
 
 22,7 
 
 read 
 
 2,2 
 
 read 
 
 0,6 
 
 read 
 
 1,0 
 
 read 
 
 M 
 
 read 
 
 1,3 
 
 read 
 
 8,5 
 
 read 
 
 22. 33,2 
 
 read 
 
 6 7 
 
 read 
 
 30,2 
 
 read 
 
 5 0. 9. 43,8 
 
 read 
 
 4. 13,2 
 
 read 
 
 2. 23,33 
 
 read 
 
 2. 28,8 
 
 read 
 
 3. 15,% 
 
 read 
 
 4. 23,8 
 
 read 
 
 8. 22,1 
 
 read 
 
 3. 18,2 
 
 read 
 
 8. 5,3 
 
 read 
 
 14,2 
 
 read 
 
 10,0 
 
 read 
 
 0,3 
 
 read 
 
 0,1 
 
 read 
 
 1 2 3 4 5 
 
 read 
 
 1,4 
 
 read 
 
 1,4 
 
 read 
 
 2,1 
 
 read 
 
 0,6 
 
 read 
 
 8,5 
 
 read 
 
 4. 5,5 
 
 read 
 
 0,4 0,5 
 
 read 
 
 0. 21,0 
 
 read 
 
 0. 36,7 
 
 read 
 
 27",9, 8",7, etc. 
 
 read 
 
 1 2 3 4 5 
 
 read 
 
 4. 14,2 
 
 read 
 
 8. 23,1 
 
 read 
 
 0,9 
 
 read 
 
 0",5 
 
 read 
 
 2. 41,0 
 
 read 
 
 0,01023 
 
 read 
 
 0,00547 
 
 read 0,00352 
 
 read 0,00352 
 
 read I. 6. 51,2 
 
 read 0,31000, 0,32000, 0,33000, etc. 
 
 read 0,61 " 
 
40 
 
 CORRECTIONS TO DE DAMOISEAU'.S TABLES ECLIPTIQUES, PARIS, 1836. 
 
 Page. 
 
 138, top of page, 
 
 146, Arg. 3, 1840 B, 
 
 149, Arguments I and II, 1866 to 1880 B, 
 
 149, Arg. Ill, 1878, 
 
 164, first column, 
 
 166, II s Diff. 10 to 11, 
 
 167, Arg. 1, I- 20, Arg. 3, X- 0, 
 167, Arg. 1, IV 20, Arg. 3, VII- 10, 
 
 167, Arg. 1, I V s 20, Arg. 3, VII s 20, 
 
 170, Arg. 2, VI s 20, Arg. 3, III' 10, 
 
 171, VIII s 19, 
 177, III' 20, 
 
 180, first column, 
 
 181, Arg. 0,50000 to 0,51000, Diff., 
 183, II s Diff. 27 to 28, 
 
 183, IV Diff. 10 to 11, 
 
 184, second column of Arg. Q + Z, 
 
 187, Arg. Q -f Z, 0,64000 to 0,65000, Diff., 
 
 (190), X" Equation 27, 
 
 (193), eleventh line, 
 
 (216), Longit. moy., 1849, 
 
 (224), Argument 4, 1870 to 1880 B, 
 
 for Suite de la TABLE XVIII 
 for 1. 26,92 
 
 for +11. 5 ,7 
 
 for l'61ongation est entre 3' et 0' 
 
 for 4. 5,32 
 
 4. 23,0 
 
 3. 5,7 
 
 1. 18,5 
 
 0. 22,8 
 11. 5,5 
 
 for 
 
 read Suite de la TABLE XXVIII 
 read 1. 26,62 
 
 
 ' 10 s 24,50 
 
 2 13,50 i 
 
 
 W 25,00 
 
 2- 20,30 1 
 
 
 11. 25,07 
 
 3. 14,76 
 
 
 11. 25,57 
 
 3. 21,56 
 
 
 0. 25,66 
 
 4. 16,05 
 
 
 0. 26,16 
 
 4. 22,85 
 
 
 1. 26,30 
 
 5. 17,39 
 
 
 1. 26,79 
 
 5. 24,18 
 
 
 2. 25,59 
 
 6. 17,34 
 
 
 2. 26,06 
 
 6. 24,12 
 
 
 3. 26,28 
 
 7. 18,74 
 
 
 3. 26,76 
 
 7. 25,51 
 
 
 4. 26,98 
 
 8. 20,13 
 
 
 4. 27,45 
 
 8. 26,90 
 
 /br. 
 
 5. 27,65 
 
 9. 21,50 
 
 read 
 
 5. 28,12 
 
 9. 28,28 
 
 
 6. 28,28 
 
 10. 22,83 
 
 
 C). 28,77 
 
 10. 29,62 
 
 
 7. 27,49 
 
 11. 22,71 
 
 
 7. 27,99 
 
 11. 29,50 
 
 
 8. 28,06 
 
 0. 24,01 
 
 
 8. 28,57 
 
 1. 0,79 
 
 
 9. 28,62 
 
 1. 25,24 
 
 
 9. 29,14 
 
 2. 2.05 
 
 
 10. 29,18 
 
 2. 26,50 
 
 
 10. 29,70 
 
 3. 3,31 
 
 
 11. 29,76 
 
 3. 27,77 
 
 
 0. 0,28 
 
 4. 4,59 
 
 
 0. 28,99 
 
 4. 27,67 
 
 
 | 0. 29,50 
 
 5. 4,48 _ 
 
 for 2. 18,5 
 
 read 2. 16,5 ' 
 
 
 for 4 3 2 
 
 1 5 read 1 2 3 
 
 4 5 
 
 for 7,6 
 
 read 7,5 
 
 
 for 3,1 
 
 read 3,8 
 
 
 for 3,3 
 
 read 3,1 
 
 
 for 3,3 
 
 read 2,9 
 
 
 far 9,7 
 
 read 8,5 
 
 
 for 6,6 
 
 read 5,6 
 
 
 for 2,57582 
 
 read 2,57562 
 
 
 for 4 3 2 
 
 1 5 read 1 2 3 
 
 4 5 
 
 for 1976 
 
 read 1970 
 
 
 for 25 
 
 read 26 
 
 
 for 20 
 
 read 19 
 
 
 for 0,02250 
 
 read 0,00250 
 
 
 for 53,8 
 
 read 53,3 
 
 
 9. 18,3 
 8. 1,0 
 7. 5,3 
 5. 18,1 
 4. 0,8 
 2. 13,6 
 
 rend +11. 57,7 
 
 read I'e'longation eat entre 9' et 0' 
 
 read 0. 4,53 
 
 4. 23,8 ^i 
 
 3. 6,6 
 
 1. 19,3 
 
 0. 23,7 
 11. 6,4 
 
 ead 
 
 9. 19,1 
 8. 1,9 
 7. 6,2 
 5. 18,9 
 4. 1,7 
 2. 14,4*