HHSH TABLES PARTHENOPE, K . H C 1-1 U B "JE H T COMl'UTKU l')K THK AMERICAN EPHEMKRIS AND NAUTICAL ALMANAC. BUREAU OF NAVIGATION. WASHINGTON. 1 871. University of California. C7 TABLES OF PARTHENOPE, BY E. SCHUBERT. COMPUTED FOll THE AMERICAN EPHEMERIS AND NAUTICAL ALMANAC. (UttlVERSITr) BUREAU OF NAVIGATION, WASHINGTON. 1871. GOVERNMENT PRINTING OFFlCli. /\ ((UNIVERSITY)) .- ^- / INTRODUCTION. TN the construction of these Tables some twenty of the smaller terms of the perturbations by Jupiter and Saturn, published in No. 1761 of the " Astronomische Nachrichtcn," have been omitted, since the effect of them upon the final result is almost everywhere nearly zero. Denoting the arguments in the following manner: 1= _ M' XI = M" XXI = 3M 4M' 11= 2M3M' XII = M- M" XXII = 2M5M' 111= M3M' XIII = 2M M" XXIII = M 6 M' IV = M M' XIV = M2M" XXIV = 3M5M' V= M 2M> XV = M3M' XXV = 4M 5 If ' VI = 2 M - M' XVI = 4 M 3 M' XXVI = M 5 M' VII = 3 M2 M' XVII = 2 M 3 M' XXVII = 2 M - M' VIII = M - M' XVIII = - M2M' XXVIII = 5M2M' IX = M XIX = M 47tf' XXIX = 411- I/' X= 3711- M' XX = 5M 331' XXX = - M- M" The perturbations by Jupiter and Saturn, retained for the construction of the Tables, in units of the sixth decimal are : fi fi cos sin cos sin cos sin M . - 16.08t - 134.23t + 4.22t 1 M - 0.75t + 69.97t - 87.87t - 1.33t - 28.27t + 0.79* 2 .V + 5.25t + 51 .COt - 51.92t + 5.23* - 1.40t + 0.04* 3 M + 0.78t + 7.72t - 7.44t + 0.78t - O.lOt 4 M + O.lOt + 0.06t - 0.96< + O.lOt - 0.01 1 5 M + O.Olt + 0.12t - O.llt + O.Olt 1 + 607.1 + 924.2 + 933.1 - 600.5 + 20.6 14.8 2 I + 694.5 - 1272.7 - 1269.2 - 690.7 - 15.3 - 12.3 3 I -3832.4 -15443.2 -15398.8 +3818.4 - 27.3 + 11.5 4 I + 1.1 - 10.8 - 10.8 - 1.1 5 I 0.0 2.3 2.3 0.0 6 1 + 1.4 + 6.7 + 6.7 - 1.3 II +3682.2 +14639.1 -14575.4 +3198.5 - 63.8 - 342.7 2 II + 16.3 - 11.0 + 17.0 + 7.2 III -3783.1 - 3604.8 - 3648.8 +3783.2 + 18.4 + 45.3 2 III - 41.8 + 23.4 + 25.1 + 30.9 J i '/ i J i cos sin cos sin cos sin IV + 22.9 - 108.6 + 124.0 + 31.6 - 3.0 + 7.7 2 IV - 434.5 + 774.0 - 739.0 - 412.4 + 4.5 - 0.9 3 IV +1576.5 +2644.5 -2641.9 +1568.3 - 2.7 - 17.3 4 IV - 7.0 + 18.8 17.7 - 10.2 5 IV - 0.7 + 2.5 - 0.9 - 1.1 V + 620.1 -1521.7 -1532.5 555.5 + 38.5 + 17.5 2V + 24.3 - 67.9 - 87.3 - 5.5 + 8.5 + 4.0 3V + 4.0 - 66.7 + 55.3 + 2.6 - 4.9 1.2 4 V - 1.3 - 0.5 VI - 280.9 - 444.6 + 442.2 - 279.2 + 9.0 - 6.3 2 VI - 29.7 + 73.6 - 73.4 - 296 3 VI + 2.8 + 5.2 - 5.2 + 2.8 VII - 195.3 + 466.6 - 464 .e - 194.5 + 26 + 0.8 2 VII - 0.9 - 0.9 VIII + 24.6 + 152.2 + 151.6 - 24.9 + 7.9 - 0.6 2 VIII + 3.5 - 10.8 - 10.8 - 3.5 3 VIII - 4.5 - 19.3 - 19.2 + 4.6 OIX - 3.8 + 10.7 + 1.1 ] IX + 170.0 - 0.6 - 1.0 + 159.7 + 9.1 2 IX + 16.4 7.1 + 7.0 + 16.3 + 1.4 3 IX - 0.9 + 0.9 X - 37.1 - 61.7 + 61.5 - 37.0 2X - 0.5 + 1.2 - 1.2 - 0.5 XI - 29.8 + 29.5 + 33.2 + 35.7 2X1 + 48.2 + 48.2 3X1 + 2.5 + 13.0 + 13.0 - 2.9 XII + 3.8 + 9.0 - 10.6 + 2.8 2 XII - 19.9 + 20.0 3 XII 0.8 - 2.5 + 2.5 - 0.7 XIII + 12.8 - 11.1 + 11.0 + 12.8 . 2 XIII - 1.1 + 1.1 XIV + 4.3 + 22.1 + 23.1 + 1.7 2 XIV - 0.9 - 0.6 + 0.8 XV - 368.2 -1501.3 -1498.5 + 367.3 1.4 + 0.6 XVI + 196.2 + 346.7 - 346.6 + 195.8 XVII - 40.6 - 166.2 - 166.0 + 40.5 XVIII + 39.7 - 105.2 - 105.2 - 39.8 - 0.8 - 1.0 * m fi cos sin cos sin cos sin XIX +101.9 - 59.8 _ 62.3 -100.0 - 1.8 - 1.3 XX + 22.4 + 42.4 - 42.0 + 22.1 XXI - 13.3 + 52.7 + 1.4 - 73.2 + 4.3 - 4.0 XXII - 26.2 - 15.6 - 17.9 + 25.7 XXIII - 5.7 + 67.9 + 67.4 + 6.7 - XXIV + 16.6 + 7.2 - 19.8 - 17.0 - 0.9 - 3.5 XXV + 5.4 + 1 6.7 + 5.4 + 7.4 + 1.1 XXVI - 1.0 - 22.8 - 22.8 + l.'l XXVII + 1.3 + 16.8 + 16.9 - 1.2 XXVIII - 4.0 + 10.2 - 9.9 - 3.9 XXIX - 4.7 - 7.8 + 7.9 - 4.7 XXX - 5.3 - 6.1 - 5.9 + 5.4 Normals referred to the mean equinox 1850.0. Berlin M. T. a t Berlin M. T. a i 1850 May 31.0 225 57 3& O 1 II - 9 48 27.9 1859 December 2.0 o / // 67 40 6.8 O 1 II +15 31 7.3 1851 October 22.0 28 46 48.3 + 3 20 40.6 1861 March 13.0 172 44 43.7 + 8 55 54.5 1853 February 7.0 141 50 9.9 +16 50 37.7 1862 July 26.0 306 21 31.2 -19 3 26.1 1854 June 3.0 252 46 36.7 -16 53.0 1863 December 8.0 88 56 39.5 +18 36 38.2 1855 November 9.0 49 49 12.4 +10 32 47.2 1865 M arch ' 28.0 189 4 52.7 + 3 18 58.3 1857 February 20.0 158 10 19.5 +12 58 7.7 1866 August 24.0 334 30 24.6 -14 35 2.7 1858 June 18.0 281 16 13.4 -18 50 29.8 1868 January 3.0 103 56 14.8 +20 3 8.3 Elements. 1850, Jan. 0, Washington Mean Time. M = 250 52 - = 316 46 = 124 58 i = 4 37 it 17.3 46.3 43.9 32.1 | M. Eq. Ep. / // IIOIITH . 1870 . . September SO days . 1870 . . September 20 days . 1. 324.734 339.814 358.338 35!).979 302.8G5 XI. 191.6 351.9 359.3 182.8 XXI. 116 106 9 231 II. 185.318 64.152 5.280 0.066 254.816 XII. 157.2 54.2 4.5 215.9 XXII. 115 24 2 141 III. 219.760 1.796 0.148 0.002 221.706 XIII. 122.8 116.6 9.6 249.0 XXIII. 114 301 355 IV. 290.202 42.158 3.470 0.043 335.963 XIV. 348.8 46.1 3.8 38.7 XXIV. 80 86 7 173 V. 255.03 21.99 1.81 0.02 278.85 XV. 288.6 237.0 349.9 155.5 XXV. 46 148 12 206 VI. 356.86 104.54 8.60 0.11 9.10 XVI. 116.4 188.9 15.5 320.8 XXVI. 149 321 357 107 VII. 186.14 146.70 12.07 0.15 345.06 XVII. 323.1 174.7 344.8 122.6 XXVII 34 215 348 237 VIII. 359.17 277.45 353.20 359.92 269.74 XVIII. 323.9 257.2 351.6 212.7 XXVIII. 117 271 22 50 IX. 32."..56 62.34 5.13 6.06 33.09 XIX. 184.5 341.6 358.5 164.6 XXIX. 187 229 19 75 X. 221.41 166.89 13.74 0.17 42.21 XX. 82.0 251.2 20.7 353.9 XXX. 226 289 354 149 * Tlie arguments being expressed in degrees and decimals, 360.0, 720.0, or 1080.0 must be subtracted wlien one of ibc sums is greater tlian one of tbose numbers. f ri 1 P Terms with t 1632.8 - + 4372.1 + 404.5 cos (xi x) f - 3188.2 1 6515.5 15112.1 16829.6 66.3 cos (;/, x) r, 1 + 8842.8 II 718.2 347.5 cos (Zj x) (,' - 1.4 III 5241.2 237.5 44.0 f + 5653.2 IV 2851.1 2379.5 13.4 cos (xi y) f + 2696.7 V 1533.8 375.5 19.3 cos (! ) 17' + 9137.5 VI 347.5 310.8 7.7 cos (Z L T/) f + 7.6 VII onu n 399 3 vni ouo.u 175.0 39.4 n +11841.8 IX 137.3 114.7 7.2 cos (x l z) f + 1248.6 X 67.6 20.0 cos (I/, z) 17' + 2844.1 XI 28.8 0.4 cos (zi z) (' - 20.2 XII 25.0 14.4 f + 4072.5 XIII 5.0 16.6 sin (^' + r) 87 lij 4?''l 9.999505 XIV 16.4 19.8 T sin a 0.352134 XV 288.3 1513.8 1.5 x 0.351639 XVI (T ff QOO Q ._ XVII 119.0 122.7 sin (B> + r) 358 41 40.6 8.357580n XVIII 23.9 109.7 1.2 r sin 4 0.323988 XIX 113.5 34.1 1.4 y 8.681568n XX XXI 17.9 32.6 56.0 44.0 sin (C' + r) 347 25 17.6 9.338011n XXII 10.0 30.2 T sin c 9.909570 XXIII 48.3 48.4 z 9.247581 n XXIV 15.6 17.9 XXV 12.4 8.2 y - 0.048036 XXVI 21.5 7.7 17 + 11842 XXVII 12.8 8.1 F + 0.036089 XXVIII 5.6 9.0 A cos 6< sin a' - 0.000105 .02118971 XXIX 8.6 2.6 z + 2.247185 XXX 1.5 7.6 f + 5653 f, n 1 , ? 15218.0 -43 19576.3 )8.3 20645.0 + 130 7615.1 29.9 446.2 -s 467.8 1.6 X - 1.002746 A cos 6> cos a' + 1 .250092 0.096942 Reduction to the apparent equinox. cos a' 0.000000 o / // tan a' 359 59 42.7 5.924247 / + 1^88 z - 0.176840 g 0.9036 C + 4072 G ] -j Z + 0.015661 sin (G + a') 13 9 9.3570 tan 6' 9.0993n A sin (!' - 0.157107 9.1961 96n - 0.23 !l359lT A cos y 0.096942 A a' +17.65 cos 6' 9.996597 cos (G + a') 9.9885 tan &> - 7 'J 47.4 9.099254* A y + 7.80 0.8921 A 0.100345 a = (j 0"3 (J =-7 9 39.6 ' and (5' are referred to the mean equinox 1870.0 TABLE I. FOR THE MEAN ANOMALY. For Washington mean noon of Jan. in common years, of Jan. 1 in bissextile years. . Years. M * t Years. M t IBM 25o 52 n'lso 0.0000 1876 B 168 5 33.'54 + 26.0014 1H51 344 32 29.96 + 0.9993 1877 261 45 46.20 27.0007 1 -:>> B 78 28 6.49 2.0014 1878 355 25 58.86 28.0000 1853 172 8 19.15 3.0007 1879 89 6 11.52 383993 1854 265 48 31.81 4.0000 1880-B 183 1 48.1).") 30.0014 1855 359 28 44.47 4.9993 1881 276 42 0.7 1' 31.0007 1856 B 93 24 21.00 6.0014 1882 _ 10 22 13.37 32.0000 )857 187 4 33.66 7.0007 1883 104 2 26.03 33.9993 I B6H 280 44 46.32 8.0000 1884 B 197 58 2.56 34.0014 1859 14 24 58.98 8.9993 1885 291 38 15.22 35.0007 1860 B 108 20 35.51 10.0014 1886 25 18 27.88 36.0000 1861 202 48.17 11.0007 1887 118 58 40.53 36.9993 1862 295 41 0.82 12.0000 1888 B 212 54 17.06 38.0014 1863 29 21 13.48 12.9993 1889 306 34 29.72 39.0007 1864B 123 16 50.01 14.0014 1890 40 14 42.38 40.0000 1865 216 57 2.67 15.0007 1891 133 54 55.04 40.9993 1866 310 37 15.33 16.0000 1892B 227 50 31.57 42.0014 1867 44 17 28.00 16.9993 1893 321 30 44.23 43.0007 1868 J? 138 13 4.52 18.0014 1894 55 10 56.89 44.0000' 1869 231 53 17.18 19.0007 1895 148 51 9.55 44.9993 1870 325 33 29.84 20.0000 1896B 242 46 46.08 46.0014 1871 59 13 42.50 20.9993 1897 336 26 58.74 47.0007 1872B 153 9 19.03 22.0014 1898 70 7 11.40 48.0000 1873 246 49 31.69 23.0007 1899 163 47 24.C6 48.9893 1874 340 29 44.35 24.0000 1900 B 257 43 0.59 + 50.0014 1875 74 9 57.01 + 24.9993 Months. M t Days. Jtf t January I It 0.00 0.0000 1 15 23.87 + 0.0027 February 7 57 19.98 + 0.0849 2 30 47.74 0.0055 M arch 15 8 28.35 0.1615 3 46 11.61 0.0082 April 23 5 48.33 0.2464 4 1 1 35.48 0.0109 May 30 47 44.44 0.3286 5 1 16 59.35 0.0137 June 38 45 4.41 0.4134 6 1 32 23.22 0.0164 July 46 27 0.52 0.4956 7 1 47 47.09 0.0192 August 54 24 20.50 0.5805 8 2 3 10.96 0.0219 September 62 21 40.48 0.6653 9 2 18 34.83 0.0246 October 70 3 36.59 0.7475 10 2 33 58.70 0.0274 November 78 56.57 0.8324 90 5 7 57.40 0.0548 December 85 42 52.68 + 0.9145 30 7 41 56.10 + 0.0821 In Bissextile Years one day must be subtracted from the date in the first two months. TABLE I. Concluded. FOR THE MEAN ANOMALY. Tin- liini-s are referred to the meridian of Washington. Hours. .W t Hours. Jtf t 1 / /' 38.49 +0.0001 13 / . ii 8 20.43 + 0.0015 2 1 16.99 0.0002 14 8 58.92 0.0016 :i 1 .-,.-,.43 0.0003 15 9 37.42 0.0017 4 2 33.9H 0.0005 16 10 15.91 0.0018 5 3 12.47 0.0006 17 10 54.41 0.0019 6 3 50.97 0.0007 18 11 32.90 0.0021 7 4 29,46 0.0008 19 12 11.40 0.0022 8 r, 7.96 0.0009 20 12 49.89 0.0023 9 5 46.45 0.0010 21 13 28.39 0.0024 10 6 24.94 0.0011 22 14 6.88 0.0025 11 7 3.44 0.0013 23 14 45.37 0.0026 ia 7 41.93 +0.0014 24 15 23.87 + 0.0027 M M For Minutes. For Seconds. For Minutes. For Seconds. i f 0.64 It 0.01 31 / 19.89 // 0.33 a 1.28 0.02 32 20.53 0.34 :s 1.92 0.03 33 21.17 0.35 4 2.57 0.04 34 21.81 0.36 5 331 0.05 35 22.45 0.37 (i 3.85 0.06 36 23.10 0.38 7 4.49 0.07 37 23.74 0.40 H 5.13 0.09 38 24.38 0.41 9 5.77 0.10 39 25.02 0.42 10 6.42 0.11 40 25.66 0.43 11 7.06 0.12 41 26.30 0.44 12 7.70 0.13 42 26.95 0.45 13 8.34 0.14 43 27.59 0.46 14 8.98 0.15 44 28.23 0.47 15 9.62 0.16 45 28.87 0.48 16 10.27 0.17 46 29.51 0.49 17 10.91 0.18 47 30.15 0.50 18 11.55 0.19 48 30.80 0.51 19 18.19 0.20 49 31.44 0.52 20 12.83 0.21 50 32.08 0.53 91 13.47 0.22 51 32.72 0.55 yi) 14.11 0.24 52 33.36 0.56 33 14.76 0.25 53 34.00 0.57 04 15.40 0.26 54 34.64 0.58 25 16.04 0.27 55 35.29 0.59 06 16.68 0.28 56 35.93 0.60 27 17.32 0.29 57 36.57 0.61 '&> 17.96 0.30 58 37.21 0.62 29 18.61 0.31 59 37.85 0.63 30 19.25 0.32 60 38.49 0.64 10 TABLE II. FOR THE CORRECTION c TO BE ADDED TO THE AUXILIARY ANOMALY '. Argument = M. For M > 180 the Argument is 360 .V, ;md the sign of c to he reversed. Arg. c Diff. Arg. c Diff. Arg. c Diff. Arg. c Diff. O i n n o i ii ii i n n o i ii ii 0.0 45 + s 52.2 90 - 2 16.3 135 - s, 7.4 1 + 22.3 +22.3 46 8 47.1 - 5.1 91 > 33.2 -16.9 136 8 4.1 + 3.3 2 44.G 22.3 47 8 41.3 5.8 93 2 49.8 16.6 137 8 0.3 3.8 92.3 6.6 16 3 3 1 G.9 48 8 34.7 93 3 G.I 138 7 56.1 4.2 4 1 29.0 22.1 49 8 27.4 7.3 94 3 22.2 10.1 139 7 51.4 4.7 5 1 50.9 21.9 50 8 19.4 8.0 96 3 37.9 15.7 MO 7 46.:! 5.1 6 2 12.7 21.8 61 8 10.7 8.7 9G 3 53.3 15.4 III 7 40.7 5.1. 7 2 34.2 21.5 53 8 1.3 9.4 97 4 8.4 15.1 7 34.7 6.0 S 2 55.5 21.3 53 7 51.3 10.0 98 4 23.2 14.8 143 7 2S 3 c. i 9 3 16.5 21.0 54 7 40.7 10.6 99 4 37.5 14.3 144 7 21.4 8.1 10 3 37.1 20.6 20.2 55 7 29.4 11.3 1 1.8 100 4 51.5 14.0 n 7 145 7 14.1 7.3 11 3 57.3 66 7 17.6 101 5 5.2 1 0. 1 146 7 6.4 7.7 12 13 14 4 17.1 4 36.5 4 55.4 19.8 111.4 18.9 57 58 59 7 5.2 6 52.3 6 38.9 12.4 12.9 13.4 102 103 104 5 1S.4 5 31.2 5 43.5 13.2 12.8 12.3 147 148 149 G 58.4 G 49.9 G 41.1 8.0 8.8 15 5 13.9 18.5 17 Q GO G 25.0 13.9 105 5 55.5 12.0 150 G 31.9 9.2 16 5 31.8 l /.a nn 61 G 10.6 14.4 106 G 7.0 11.5 151 6 22.3 9.6 17 5 49.1 .J 62 5 55.7 14.9 107 G 18.0 11.0 152 6 12.4 9.9 18 6 5.8 16.7 lot 63 5 40.5 15.2 108 G 28.6 10.6 153 G 2.2 10.2 19 6 21.9 10.1 04 5 24.9 15.6 109 6 38.8 10.2 154 5 51. G 10.6 20 6 37.3 15.4 G5 5 8.9 16.0 110 6 48.4 9.6 I.V, 5 40.8 10.8 21 G 52.1 14.8 GG 4 52.5 16.4 111 6 57.G 9.2 15G 5 29.6 11.2 22 23 7 G.2 7 19.6 14.1 13.4 67 68 4 35.9 4 19.0 16.6 16.9 112 113 7 6.3 7 14.5 8.7 8.2 157 158 5 18.1 5 G.4 11.5 11.7 24 7 32.3 12.7 UQ 69 4 1.8 17.2 114 7 22.2 7.7 159 4 54.3 12.1 25 7 44.2 X nl 70 3 44.3 17.5 116 7 29.4 7.2 160 4 42.0 12.3 2G 7 55.3 .1 hit 71 3 26.7 17.6 116 7 36.1 6.7 161 4 29.5 12.5 27 8 5.7 V9A Q fi 72 3 8.8 17.9 117 7 42.4 6.3 1G2 4 16.7 12.8 28 8 15.3 V.O Q o 73 2 50.8 18.0 118 7 48.1 5.7 163 4 3.7 13.0 29 8 24.1 D.0 7 9 74 2 32.7 18.1 119 7 53.3 5.2 164 3 50.5 13.2 30 8 32.0 75 2 14.5 18.2 120 7 58.0 4.7 1G5 3 37.1 13.4 31 8 39.2 7.2 76 1 56.1 18.4 121 8 2.1 4.1 166 3 23.5 13.6 32 8 45.5 6.3 77 1 37.8 18.3 122 8 5.8 3.7 167 3 9.7 13.8 33 8 51.0 5.5 78 1 19.3 18.5 123 8 8.9 3.1 168 2 55.7 14.0 34 8 55.6 4.6 T Q 79 1 0.9 18.4 124 8 11.6 2.7 169 2 41.G 14.1 35 8 59.5 o.a 80 42.5 18.4 185 8 13.7 2.1 170 2 27.4 14.2 3G 9 2.5 3.0 21 81 24.1 18.4 126 8 15.3 1.6 171 2 13.0 14.4 37 9 4.G .1 82 + 5.7 18.4 127 8 1G.4 1.1 172 14.6 38 39 9 5.9 9 6.4 1.3 + 0.5 83 84 - 12.5 30.6 18.2 18.1 128 129 8 17.0 8 17.2 0.6 - 0.2 173 171 1 43.9 1 29.3 14.6 14.6 40 9 6.0 1 j 85 48.7 18.1 130 8 16.8 + 0.4 I7r> 1 14.5 14.8 41 9 4.9 1.1 2 8G 1 6.G 17.9 131 8 15.9 0.9 176 59.7 14.8 42 9 2.9 o o 87 1 24.3 17.7 132 8 14.5 1.4 177 44.8 14.9 43 9 0.1 3K 88 1 41.8 17.5 133 8 12.6 1.9 ITS 29.9 14.9 44 8 56.6 .J 89 1 59.2 17.4 134 8 10.3 2.3 179 - 14.9 15.0 45 8 52.2 4.4 90 - 2 16.3 17.1 135 - 8 7.4 + 2.9 ISO 0.0 +14.9 eot * v ' = r+~e cos * *' True Anomaly = B' + C log ~7 - = 9.9125 13 P T i-fecosB 1ogp = 0.38ol99 ,,g c = 9.001GGO 11 [ TABLE III. FOR THE ARGUMENTS. A. l''or the different Years. The times are referred to the meridian of Washington. tears. i. II. III. IV. V. VI. VII. VIII. IX X. 1 -50 211.057 56.713 165.842 102.528 31 4 18 353?40 95?93 320?79 250?87 244.27 1-51 181.333 153.080 168.538 165374 347.21 150.42 316.29 196.79 344.54 134.96 185-2 B 150.934 249.708 171.210 329.392 20.32 307.86 177.25 72.46 78.47 20.33 1853 180.598 34(1.072 173.933 398.737 53.33 104.88 37.61 308.46 172.14 277.01 1 35 1 90.273 88.437 176.638 35(1.082 86.35 261.89 257.97 184.46 205.81 107.70 1-55 59.947 178.799 179.320 59.486 119.37 58.90 118.33 60.47 359.48 5*. 38 1 .-50 B 89.539 875.439 162.023 122.945 152.48 216.35 339.30 296.13 93.41 309.76 \ rC>7 359.213 11.791 184.715 186.289 185.50 13.30 199.65 172.14 187.08 200.44 1858 338.888 108.156 187.410 249.634 218.52 170.38 60.01 48.14 280.75 91.13 1859 898.563 204.518 190.102 312.978 251.54 327.39 280.37 284.15 14.42 341.81 I860 B 868.154 30 1.1 48 192.805 1(1.497 884.65 124.84 141. "33 159.81 108.34 233.18 1861 837.838 37.51 1 195.497 79.841 317.67 281.85 1.69 35.81 202.01 123.87 1863 807.503 133.876 198.193 143.187 350.09 78.87 222.06 271.82 295.68 14.55 1863 177.178 2:10.212 300.888 206.532 23.71 235.89 82.42 147.82 29.35 265.24 l-(!4 B 1 10.709 836.869 303.588 270.050 50.82 33.33 303.38 23.49 123.28 150.01 1805 116.444 68.334 806.883 333.395 89.84 190.35 163.74 259.49 210.95 47.30 1866 SO. 119 159.599 208.978 36.740 122.86 347.30 24.10 135.50 310.02 297.98 1867. 55.793 855.961 211.070 100.084 155.88 144.37 244.46 11.50 44.29 188.67 1868 jB 25.385 : ',52.591 214.373 163.603 188.99 301.82 105.42 247.17 138.22 80.04 1869 355.060 88.956 217.0(18 226.948 222.01 98.84 325.78 123.17 231.89 330.72 1870 324.734 165.313 819.760 290.292 255.03 255.85 186.14 359.17 325.56 221.41 187] 894.409 881.683 222.155 353.637 288.05 52.80 46.50 235.18 59.33 112.09 1 -72 B 364.001 18.313 835.158 57.15(1 321.16 210.31 207.47 110.85 1 53. 1 5 3.47 1873 833.676 1 14.07* 987.853 120.501 351.18 7.33 127.83 846.85 240.82 254.15 1874 203.350 211.012 230.546 183.846 27.20 164.34 348.19 222.85 340.50 144.84 1876 173.025 307.407 233.241 247.191 60.22 321.36 208.55 98.80 74.17 35.52 1 -70 5 142.017 44.037 235.944 310.710 93.33 118.80 09.51 334.52 108.09 2-6.90 1S77 1 |-_>.292 140.402 238.639 14.055 126.35 375.83 289.87 210.53 261.76 177.58 1878 81.967 836.767 211.331 77.400 159.37 72.83 150.23 80.53 355.43 68.27 1879 51.643 333.133 24 4. 02! 1 140.745 192.39 229.85 10.59 322.54 89.10 318.95 1 .-.<() B 81.834 69.762 246.732 201.204 225.50 27.29 23 1.56 198.20 183.03 210.32 1881 350.908 166.124 249.424 267.608 258.52 1*1.31 91.92 74.21 276.70 101.01 1883 330.563 868.489 252.119 330.953 291.54 341.32 312.28 310.21 10.37 357.69 1883 890.358 358.856 854.815 31.299 334.56 138.34 172.64 180.22 104.04 348.98 1884 B 859.849 95.481 257.514 97.816 357.66 295.78 33.60 61.88 197.97 133.75 1885 2-.29.5-ll 191.848 260.210 161.1(12 30.09 92.80 253.96 297.88 291 .64 24.44 1886 199.198 268.208 262.901 884.505 63.70 249.81 114.32 173.89 25.31 275.12 1887 168.873 24.575 2(15.5:17 287.851 96.73 46.83 334.68 49.89 118.98 165.81 1 .-'S8 I? 13&465 181.304 868.899 351.370 189.83 204.27 195.04 2-5.56 212.90 57. IS 1889 1 08.139 817.667 270.992 51.714 162.85 1.29 50.00 161.56 306.57 307.80 1890 77.814 313.932 273.687 II. -'.059 I95.S7 158.30 276.36 37.57 40.24 198.55 1891 47.489 50.297 876.363 181.404 228.89 315.32 136.72 273.57 133.91 8! 1.23 1892 # 17.080 146.984 879.083 844.983 262.00 112.70 357.09 149.24 337.84 340.61 1893 3 1(1.75.-. 843.389 281.777 308.207 295.02 3*9.78 218.05 25.24 321.51 231.29 1894 316.430 339.654 284.172 1 1.612 328.04 66.79 78.41 201.25 55.18 191.98 [895 886,104 7(1.01(1 287.164 74.956 1.06 223.81 298.76 137.25 148.85 12.60 1*90 5 855.696 178.646 289.867 138.475 34.17 21.25 159.73 12.92 242.78 204.03 is: 17 225.37 1 2(19.013 292.5(13 201.821 67.19 178.27 20.09 248.92 336.45 154.72 1898 195.045 5.375 295.255 265.165 100.21 336.28 240.45 124.92 70.12 45.40 1899 164.730 101.740 297.950 398.510 133.23 132.30 100.81 0.93 163.79 290.09 1900 /j 134.311 198.367 300.650 32.028 166.34 289.74 321.77 2:16.59 257.72 187.46 12 TABLE III. Continued. FOR THE ARGUMENTS. A. For the different Yean. The times are referred to the meridian of Washington. Years. XI. XII. XIII. XIV. XV. XVI. XVII. XVIII. XIX. XX. 1850 76.0 32C.9 217.8 42.9 24. 1 198.4 i33.a 172.4 o 17.5 89.3 1851 63.8 48.3 32.9 112.1 199.4 188.8 214.9 18.1 349.9 106.7 1852 B 51.6 130.0 208.5 181.6 14.3 46.C 295.8 223.4 :!>>. 1 125.1 1853 39.3 211.5 23.6 250.8 189.7 330.3 17.5 69.1 2114.5 142.5 1854 27.1 292.9 198.8 320.1 5.0 254.0 99.8 274.7 2GG.9 159.9 1855 14.9 14.4 13.9 29.3 180.4 177.8 180.9 120.4 939.8 177.2 18565 2.7 96.1 189.5 98.8 355.2 102.2 261.8 385.7 211.6 195.6 1857 350.5 177.5 4.6 168.0 170.6 25.9 343.5 171.4 183.9 213.0 1858 338.3 259.0 179.8 237.3 345.9 309.0 65.2 17.0 156.3 230.4 1859 326. 1 340.5 354.9 306.5 161.3 233.3 14C.8 222.7 128.7 847.7 1860 B 313.8 62.2 170.5 16.0 336.1 157.8 227.8 68.0 101.0 266.8 1861 301.6 143.G 345.6 85.2 151.5 81.5 309.5 -27:!. ii 73.3 283.6 1862 289.4 225.1 160.8 154.5 326.8 5.2 31.1 119.3 45.7 300.9 1863 277.2 306.5 335.9 223.7 142.8 888.9 112.8 385.0 18.1 318.3 1864 B 264.9 28.2 151.5 293.2 317.0 213.4 193.7 170.2 350.3 336.7 1865 252.7 109.7 326.6 2.4 132.4 136.1 275.4 15.9 322.7 354.1 1866 240.5 191.1 141.8 71.7 307.7 60.8 357.1 891.6 295.1 11.5 1867 228.3 272.6 316.9 140.9 123.1 344.5 78.8 G7.3 2G7.5 98.8 1868 B 216.1 354.3 132.5 210.3 997.9 269.0 159.7 272.6 839.8 47.2 1869 203.8 75.7 307.6 279.6 113.3 192.7 241.4 118.2 813.1 64.6 1870 191.6 157.2 122.8 348.8 288.0 116.4 323J 383.9 184.5 82.0 1871 179.4 238.7 297.9 58.1 104.0 40.1 44.8 169.6 15G.9 99.4 1872 B 167.2 320.3 113.5 127.5 278.8 324.6 185.7 14.8 189.3 117. S 1873 155.0 41.8 288.6 196.8 94.2 948.3 207.4 220.5 101.5 135.1 1874 142.8 123.3 103.8 266.0 2G9.5 172.0 989.1 66.8 73.9 158.5 1875 130.6 204.7 278.9 335.3 84.9 95.7 10.7 271.9 4G.3 169.9 18765 118.3 286.4 94.5 44.7 259.8 20.2 91.7 117.1 i-.:. 188.3 1877 106.1 7.9 269.6 114.0 75.1 303.9 173.3 388.8 350.9 -,'05.7 1S78 93.9 89.3 84.8 183.2 ' 250.5 227.6 856.0 1G8.5 883.3 223. 1 1879 81.7 170.8 259.9 252.5 65.8 151.3 3:1(1.7 14.2 896.7 24(1. 1 1880 B 69.4 252.5 75.5 321.9 240.7 75.8 57.6 219.4 268.0 358.9 1881 57.2 333.9 250.6 31.2 56.0 359.5 139.3 65.1 240.3 276.8 1882 45.0 55.4 65.8 100.4 231.4 283.2 221.0 270.8 212.7 893.6 1883 32.8 136.8 240.9 169.7 46.7 20G.9 302.7 116.5 185.1 311.0 1884 B 20.6 218.5 56.5 239.1 ' 221.6 131.4 23.6 321.7 157.3 329.4 1885 8.3 300.0 231.6 308.3 36.9 55.1 105.3 167.4 129.7 346.8 1886 356.1 21.4 46.8 17.6 212.3 338.8 187.0 13.1 102.1 4.1 1887 343.9 102.9 221.9 86.8 27.6 963.5 268.7 218.8 71.1 81.6 1888 B 331.7 184.6 37.5 156.3 202.5 187.0 349.6 64.0 4G.8 39.9 1889 319.5 266.1 212.6 225.5 17.8 110.7 71.3 269.7 19.1 57.3 1890 307.3 347.5 27.8 294.8 193.2 34.4 158.9 115. 1 351.5 74.7 1891 295.1 69.0 202.9 4.0 8.5 318.1 234.6 381.1 383.9 99.0 18925 282.8 150.7 18.5 73.5 183.4 242.6 315.6 166.3 296.2 110.4 1893 270.6 232.1 193.6 142.7 358.7 10(5.3 37.2 18.0 968.5 137.8 1894 258.4 313.6 8.8 212.0 174.1 90.0 118.9 217.7 940.9 1 15.2 1895 24G.2 35.0 183.9 281.2 349.5 i:!.7 200.6 63.3 213.3 168.6 18965 233.9 116.7 359.5 35(T.7 166.3 298.2 281.5 268.6 185.5 180.9 1897 221.7 198.2 174.6 59.9 339.7 221.9 3.2 114.3 157.9 198.4 1898 209.5 279.6 349.8 129.2 155.0 145.6 84.9 380.0 130.3 215.7 1899 197.3 1.1 164.9 198.4 330.4 69.3 16G.G 165.7 102.7 233. 1 1900 5 185.1 82.8 340.5 267.8 145.2 353.8 847.5 10.9 75.0 251.5 13 TABLE III. Continued. FOR THE ARGUMENTS. A. For the different Years. The times are referred to the meridian of Washington. Years. XXI. XX11. XXIII. XXIV. XXV. XXVI. XXVII. XXVIII. XXIX. XXX. 1850 159 120 o 81 11 262 229 o 70 238 135 o 185 1851 319 156 352 140 125 171 212 285 119 79 1852 B 119 192 264 270 348 113 354 334 105 333 1853 279 227 176 39 212 65 136 22 89 227 1854 78 263 87 169 75 357 279 70 73 ]21 1855 238 299 359 298 298 299 61 117 58 15 18/56 B 38 335 271 68 161 241 203 166 43 269 1857 198 10 182 197 24 183 345 214 28 163 1858 358 46 94 327 247 125 127 261 12 58 1859 157 82 6 96 110 67 270 309 356 312 1860 B 318 117 277 226 334 9 51 358 342 205 1861 117 153 189 355 197 311 194 46 326 100 wes 277 189 101 125 60 253 336 93 . 310 354 1863 77 225 12 254 283 195 118 141 295 248 1864 B 237 260 284 24 147 137 260 190 280 142 1866 37 296 196 153 10 79 43 238 264 36 1866 196 332 107 282 233 21 185 285 249 290 1867 356 8 19 52 96 323 327 333 233 184 18685 156 43 291 182 320 265 109 22 218 78 1869 316 79 202 311 183 207 251 70 208 332 1870 116 115 114 80 46 149 34 117 187 226 1871 275 151 26 210 269 91 176 165 171 120 1872 B 75 186 297 339 133 33 318 214 157 14 1873 235 222 209 109 356 335 100 261 141 268 1874 35 258 121 238 219 277 242 309 125 162 1875 195 293 32 8 82 219 25 357 110 56 18761? 355 329 304 137 305 161 166 46 95 310 1ST 7 154 5 216 867 169 103 309 93 79 204 1878 315 41 127 36 32 45 91 141 64 98 1879 114 76 39 166 255 347 233 189 48 353 1 sso B 274 112 310 295 118 289 15 238 33 246 1881 74 148 222 65 341 231 157 285 18 141 1889 233 184 133 194 204 173 300 . 333 2 35 1883 33 919 46 323 67 115 82 21 34(i 289 1 -S4 B 193 255 317 93 291 57 224 69 332 183 1885 353 291 229 223 154 359 6 117 316 77 1886 153 326 140 352 17 301 149 165 300 331 1887 312 2 52 121 240 243 291 213 285 225 1888 B 113 38 324 251 104 185 73 261 270 119 1889 272 74 235 20 327 127 215 309 254 13 1890 72 110 147 150 190 69 357 357 239 267 1891 232 145 59 279 53 11 140 45 223 161 18! 12 B 32 181 330 49 277 313 281 93 208 55 1893 193 217 242 178 140 255 64 141 193 309 IS! 14 351 253 154 308 3 197 206 189 177 303 1895 151 288 65 77 226 139 348 236 162 97 1896 B 311 324 337 207 90 81 130 285 147 351 is: 17 111 249 336 313 23 272 333 131 245 1898 270 35 160 106 176 325 55 21 116 139 1899 70 71 72 235 39 267 197 68 100 34 1900 B 230 107 :M4 5 262 209 339 117 85 287 14 TABLE III. Continued. FOR THE ARGUMENTS. B. Variations of the Arguments for the different Months. The times arc referred to the meridian of Washington. Months. I. II. III. IV. V. VI. VII. VIII. IX. X. January . . 0.000 0.000 0.000 0.000 0.00 0.00 0.00 8.00 0.00 8.00 February . . 357.425 8.184 0.229 5.378 2.80 13.34 18.71 3411.47 7.95 81.29 March . 355.0! 18 15.576 0.436 10.236 5.34 25.38 35.69 339.96 15.11 40.59 April . . . 352.523 23.760 0.665 15.614 8.14 38.72 54.33 329.43 23.08 i.!M7 0.364 8.007 0.173 0.09 8.43 0.60 35966 0.26 8.69 2 359.834 0.528 0.015 0.347 0.18 0.86 1.21 359.32 0.51 1.37 :s 3r>!>.7f>l 0*798 0.022 0.520 0.27 1.29 1.81 358.98 077 2.06 4 359.667 1 .056 0.030 0494 0.36 1.72 2.41 358.64 1.03 2.75 5 359J>84 1 320 0.037 0.867 9.45 2.15 3.02 358.30 1.28 3.43 G 3595ft] 1 .5,-!4 0.044 1.041 0.54 2.58 3.69 357.96 1 .54 4.12 7 359418 1.8 J 8 0.052 1.214 0.63 3.01 4.23 357.62 1.80 4.81 8 :r>9.3:i.-> 2.112 0.059 1.388 0.72 3.44 4.83 357.28 2.05 5.49 9 359.252 3.376 O.OG7 1.66] 0.81 3.87 5.43 356 94 2.31 6.18 Ill 359.1G9 2.640 0.074 1.735 0.90 4.30 6.04 356.60 2.57 6.87 20 35&S38 5.280 0.148 3.470 1.81 8.60 12.07 353.20 5.13 13.74 30 357.508 7.920 0.222 5.205 2.71 12.91 18.11 349.80 7.70 20.60 Days. XI. XII. XIII. XIV. XV. XVI. XVII. XVIII. XIX. XX. 1 o 0.0 o 0.2 o 0.5 o 0.2 o 359.5 o 0.8 359.2 o 359.6 359.9 o 1.0 2 359.9 0.4 1.0 0.4 359.0 1.6 358.5 359.2 359.8 2.1 3 359.9 0.7 1.4 0.6 358.5 2.3 357.7 358.7 359.8 3.1 4 359.9 0.9 1.9 0.8 358.0 3.1 357.0 358.3 359.7 4.1 5 359.8 1.1 2.4 0.9 357.5 3.9 356.2 357.9 359.6 5.2 G 359.8 1.3 2.9 1.1 357.0 4.7 355.4 357.5 359.5 6.2 7 359.8 l.G 3.4 1.3 356.5 5.4 354.7 357.0 359.5 7.2 8 359.7 1.8 3.8 1.5 356.0 6.2 353.9 356.6 359.4 8.3 9 359.7 2.0 4.3 1.7 355.4 7.0 353.1 356.2 359.3 9.3 10 359.7 2.2 4.8 1.9 354.9 7.8 352.4 355.8 359.2 10.3 20 359.3 4.5 9.6 3.8 349.9 15.5 344.8 351.6 358.5 20.7 30 359.0 6.7 14.4 5.7 344.8 23.3 337.1 347.3 357.7 31.0 Days. XXI. XXII. XXIII. XXIV. XXV. XXVI. XXVII. XXVIII. XXIX. XXX. 1 o o o 359 o J 2 I 1 1 359 2 2 359 3 1 359 1 2 358 3 3 359 4 2 359 1 2 359 358 4 4 359 5 2 359 2 3 359 357 6 5 359 G 3 359 2 4 359 356 7 6 358 7 3 358 .2 4 359 356 8 7 358 8 4 358 3 5 359 355 9 8 358 9 4 358 3 5 368 355 10 8 357 10 4 358 3 6 358 354 11 9 357 20 9 2 355 7 12 357 348 22 19 354 30 13 3 353 10 18 355 342 34 28 351 16 TABLE III. Concluded. FOR THE ARGUMENTS. D. Variations of the Arguments in the different Hours. The times are referred to the meridian of Washington. Days. 1 2 3 4 5 6 7 8 y 10 20 i. 359.996 359.993 35JI.990 359.986 359.983 359.979 359.976 359.972 359.969 359.965 359.930 II. 0.011 0.022 0.033 0.044 0.055 0.066 0.077 0.088 0.099 0.110 0.220 III. 0.000 0.001 0.001 0.001 0.001 0.002 0.002 0.002 0.003 0.003 0.006 IV. 0.007 0.014 0.022 0.029 0.036 0.043 0.050 0.058 0.065 0.072 0.144 V. 0.00 0.01 0.01 0.02 0.02 0.02 0.03 0.03 0.03 0.04 0.08 VI. 0.02 0.04 0.05 0.07 0.09 0.11 0.13 0.14 0.16 0.18 0.36 VII. o 0.02 0.05 0.07 0.10 0.12 0.15 0.17 0.20 0.22 0.25 0.50 VIII. 359.99 359.97 359.96 359.94 359.93 359.92 359.91 359.89 359.88 359.86 359.72 IX. 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10 0.21 X. 0.03 0.06 0.09 0.11 0.14 0.17 0.20 0.23 0.26 0.29 0.57 17 PERTURBATIONS OF 1 TABLE IV. HE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. Terms multiplied with t. Argument = Jtf. Arg. e Diff. ,' Diff. f Diff. Arg. * Diff. ,' Diff. P Diff. 1 - 10.69 7.21 +3.48 -269.53 209.27 +0.26 - 25.50 45 46 + 89.07 89.33 +0.26 -176.05 173.10 +2.95 - 15.10 +1.26 a 3.75 3.46 868.89 0.38 +0.10 47 89.51 0.18 170.16 2.94 3 - 0.30 3.45 268.40 0.49 85.46 48 89.60 +0.09 167.24 2.92 13.84 4 + 3.14 3.44 267.81 0.59 49 89.60 0.00 164.35 2.89 1.31 5 6.55 3.41 207.10 1 0.71 0.19 50 89.53 -0.07 161.48 2.87 6 9.93 3.38 200.29 0.81 85.S7 51 89.37 0.16 158.63 2.85 12.53 7 13.28 3.35 265.37 0.92 52 89.13 0.24 155.81 2.82 1.34 8 16.60 3.32 1.03 0.28 53 88.81 0.32 153.02 2.79 9 19.87 3.27 263.21 1.13 24.99 54 88.42 0.39 150.27 2.75 11.19 3.23 1.23 0.47 2.72 10 11 + 23.10 20.29 +3.19 -261.98 260.65 +1.33 0.38 55 56 + 87.95 87.40 -0.55 -147.55 144.87 +2.68 1.37 12 29.42 3.13 259.23 1.42 24.61 57 86.78 0.62 142.23 2.64 9.82 32.49 3.07 257.71 1.52 58 86.10 0.68 139.63 2.60 1.41 14 35.51 3.02 256.09 1.62 0.46 59 85.34 0.76 137.07 2.56 15 38.48 2.97 354.38 1.71 24.15 00 84.52 0.82 134.56 2.51 8.41 16 41.38 2.90 252.59 1.79 01 83.64 0.88 132.10 2.46 1.44 17 44.21 2.83 250.70 1.89 0.55 02 82.70 0.94 129.68 2.42 2 77 1.97 1.00 9 36 18 40.98 248.73 23.60 63 81.70 127.32 6.97 19 49.07 2.69 246.08 2.05 64 80.65 1.05 125.01 2.31 2.62 2.14 0.64 1.11 2.26 1.46 20 + 52.59 -214.54 65 + 79.54 -122.75 21 54.83 +2.54 242.34 +2.20 82.96 06 78.39 -1.15 120.54 +2.21 5.51 22 57.29 2.46 240.07 2.27 0.73 67 77.19 1.20 118.39 2.15 1.48 23 59.07 2.38 237.72 2.35 68 75.94 1.25 116.29 2.10 24 61.97 2.30 235.32 2.40 22.23 69 74.63 1.31 114.25 2.04 4.03 25 64.18 2.21 232.80 2.46 0.81 70 73.29 1.34 112.27 1.98 1.49 2.12 2.53 1.38 1.92 26 06.30 230.33 71 71.91 110.35 27 08.34 2.04 227.75 2.58 21.42 72 70.50 1.41 108.49 1.86 2.54 28 70.29 1.95 225.12 2.63 73 69.05 1.45 106.69 1.80 29 72.15 1.86 222.44 2.68 0.88 74 67.57 1.48 104.95 1.74 1.50 1.76 2.72 1.51 1.68 30 + 73.91 -219.72 20.54 75 + 66.06 -103.27 - 1.04 31 75.58 +1.67 210.96 +2.76 0.96 76 64.52 -1.54 101.65 +1.62 1.51 32 77.15 1.57 214.16 2.80 77 62.96 1.56 100.09 1.56 1.48 2.83 1.58 1.49 33 78.03 211.33 19.58 78 61.38 98.60 + 0.47 1.39 2.87 1.60 1.43 34 80.02 208.46 1.03 79 59.78 97.17 1.50 1.30 2.8S 1.62 1.37 35 81.32 205.57 80 58.16 95.80 1.20 2.90 1.64 1.31 36 82.52 202.67 18.55 | 81 56.02 94.49 1.97 1.10 2.92 1.66 1.25 37 83.02 199.75 1.09 82 54.86 93.24 1.49 38 84.63 1.01 196.81 2.94 83 53.20 1.66 92.05 1.19 0.92 2.96 1.67 1.13 39 85.55 193.85 17.46 84 51.53 90.92 3.46 0.82 2.96 1.67 1.07 40 + 86.37 -190.89 1.15 85 + 49.86 - 89.85 1.48 41 87.10 +0.73 187.92 +2.97 86 48.18 -1.68 88.84 +1.01 0.6' 2.9S 1.68 0.95 42 87.73 184.94 10.31 87 46.49 87.89 4.94 43 88.27 0.54 181.97 2.97 + 1.21 88 44.81 1.68 87.00 0.89 +1.47 44 88.72 0.45 179.01 2.96 89 43. IX. 1.69 86.16 0.84 45 + U7 +0.35 -176.05 +2.96 - 15.11) 90 + 41.4- -1.68 - 85.38 +0.78 + 6.41 18 r~ TABLE IV .Continued. PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. Terms multiplied with t. Argument = Jtf. Arg. r Diff. If Diff. C' Diff. Arg. P Diff. r,' Diff. f Diff. o O 90 + 41.44 - 85.38 + 6.41 135 - 12.15 - 91.28 + 24.CO 91 39.76 -1.68 84.66 +0.73 +1.45 136 12.62 -0.47 91.86 -0.58 +0.85 92 38.08 1.68 83.99 0.67 137 13.05 0.43 !>2.44 0.58 93 36.41 1.67 83.38 0.61 7.86 138 13.45 0.40 93.02 0.58 25.51 1.66 0.56 0.37 0.57 94 34.75 82.82 1.43 139 13.82 93.59 0.80 95 33.10 1.65 82.31 0.51 140 14.16 0.34 94.17 0.58 96 31.47 1.63 81.85 0.46 9.29 141 14.47 0.31 94.73 0.56 26.31 97 29.86 1.61 81.44 0.41 1.40 142 14.75 0.28 95.29 0.56 0.74 98 28.25 1.61 81.09 0.35 143 15.00 0.35 95.84 0.55 99 26.06 1.59 80.78 0.31 10.69 144 15.23 0.23 96.39 0.55 27.05 1.57 0.26 0.20 0.54 100 + 25.09 - 80.52 1.38 145 - 15.43 - 96.93 0.68 101 23.54 -1.55 80.31 +0.91 146 15.60 -0.17 97.46 -0.53 102 22.00 1.54 80.14 0.17 12.07 147 15.74 0.14 97.98 0.52 27 73 1.51 0.13 0.11 0.51 103 20.49 80.01 1.35 148 15.85 98.49 0.63 1.48 0.08 0.08 0.49 104 19.01 79.93 149 15.93 98.98 105 17.55 1.46 79.89 +0.04 13.42 150 15.99 0.06 99.46 0.48 28.36 1.44 0.00 0.04 0.47 106 16.11 79.89 1.32 151 16.03 99.93 0.56 1.41 0.04 0.01 0.45 107 14.70 79.93 152 10.04 100.38 1.39 0.08 -fO.Ol 0.44 108 13.31 80.01 14.74 153 16.03 100.82 28.92 1.36 0.11 0.03 0.42 109 11.95 80.12 154 16.00 101.24 1.34 0.15 1.28 0.05 0.40 0.51 110 + 10.61 - 80.27 155 - 15.95 -101.64 111 9.30 -1.31 80.45 -0.18 16.02 156 15.88 +0.07 102.02 -0.38 29.43 112 8.02 1.28 80.66 0.21 1.24 157 15.79 0.09 102.38 0.36 0.45 113 6.77 1.25 80.90 0.24 158 15.08 0.11 102.72 0.34 114 5.55 1.33 81.18 0.28 17.26 159 15.50 0.12 103.04 0.32 29.88 1.18 0.30 0,14 0.30 115 4.37 81.48 1.20 160 15.42 103.34 0.38 116 3.22 1.15 81.81 0.33 161 15.26 0.16 103.63 0.29 117 2.11 1.11 82.16 0.35 18.46 162 15.10 0.16 103.8D 0.26 30.26 118 + 1.03 1.08 82.53 0.37 163 14.92 0.18 104.13 0.24 119 - 0.02 1.05 82.92 0.39 1.18 164 14.72 0.20 104.35 0.22 0.31 1.02 0.42 0.20 0.20 120 121 - 1.04 2.02 -0.98 - 83.34 83.77 -0.43 19.61 1. 10 165 166 - 14.52 14.30 +0.22 -104.55 104.73 -0.18 30.57 0.24 122 2.97 0.95 84.22 0.45 167 14.07 0.23 104.88 0.15 123 3.88 0.91 84.69 0.47 20.71 168 13.84 0.23 105.01 0.13 30.81 124 4.76 0.88 85.18 0.49 1.06 169 13.60 0.24 105.12 0.11 0.19 125 5.61 0.85 85.69 0.51 170 13.35 0.25 105.20 0.08 126 6.42 0.81 86.21 0.52 21.77 171 13.09 0.26 105.26 0.06 31.00 127 7.19* 0.77 86.74 0.53 1.02 172 12.83 0.26 105.29 0.03 0.13 128 7.93 0.74 87.29 0.55 173 12.57 0.26 105.30 -0.01 129 8.63 0.70 87.84 0.55 22.79 174 12.31 0.26 105.29 +0.01 31.13 0.67 0.56 0.26 0.04 130 - 9.30 - 88.40 0.97 175 - 12.05 -105.25 +0.06 131 9.94 -0.64 88.97 -0.57 170 11.79 +0.26 105.19 +0.06 132 10.54 0.60 89.54 0.57 23.76 177 11.53 0.26 105.10 0.09 31.19 133 11.11 0.57 90.12 0.58 +0.90 178 11.27 0.26 104.99 0.11 0.00 134 11.65 0.54 90.70 0.58 179 11.02 0.25 104.85 0.14 135 - 12.15 -0.50 - 91.2H -0.58 + 24.66 isi) - 10.76 +0.26 -104.69 +0.16 + 31.19 19 TABLE I V . Continued. PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. Terms multiplied with t. Argument = M. Arg. cl Diff. 'I 1 Diff. * Diff. Arg. cl s Diff. ,' Diff. ff_ Diff. 180 - 10.76 -104.69 + 31.19 O 225 - 18.05 - 80.05 + 23.63 181 10.51 +0.25 104.50 +0.19 -0.07 226 18.88 -0.83 79.40 +0.65 -0.97 182 10.27 0.24 104.29 0.21 227 19.74 0.86 78.76 0.64 183 10.03 0.24 104.06 0.23 31.12 228 20.64 0.90 78.14 0.62 22.66 184 9.80 0.25 103.81 0.25 0.13 229 21.57 0.93 77.53 0.61 1.02 185 9.58 0.23 103.53 0.28 230 22.54 0.97 76.93 0.60 186 9.37 0.21 103.23 0.30 30.99 231 23.55 1.01 76.35 0.58 21.64 187 9.17 0.20 102.91 0.32 0.20 232 24.59 1.04 75.79 0.56 1.07 188 8.99 0.18 1 o-.'. :.ii 0.35 233 25.67 1.08 75.25 0.54 189 8.81 0.18 102.19 0.37 30.79 234 26.78 1.11 74.73 0.52 20.57 0.16 0.39 1.15 0.50 190 - 8.65 -101.80 0.26 235 - 27.93 - 74.23 1.11 191 8.51 +0.14 101.40 +0.40 236 29.11 -1.18 73.76 +0.47 0.13 0.43 1.21 0.45 192 8.38 100.97 30.53 237 30.32 73.31 19.46 0.11 0.45 1.25 0.42 193 8.27 100.52 0.32 238 31.57 72.89 1.15 0.09 0.47 1.28 0.39 194 8.18 100.05 239 32.85 72.50 0.07 0.48 1.31 0.36 195 8.11 99.57 30.21 240 34.16 72.14 18.31 0.05 0.50 1.34 0.33 196 8.06 99.07 0.39 241 35.50 71.81 1.20 197 8.02 0.04 98.55 0.59 242 36.87 1.37 71.51 0.30 198 8.00 +0.02 98.01 0.54 29.82 243 38.27 1.40 71.25 0.26 17.11 199 8.00 0.00 97.45 0.56 244 39.70 1.43 71.02 0.23 -0.03 0.57 0.45 1.46 0.19 1.24 200 - 8.03 - 96.88 245 - 41.16 - 70.83 201 8.08 -0.05 96.29 +0.59 29.37 246 42.65 -1.49 70.68 +0.15 15.87 0.08 0.60 1.52 0.11 202 8.16 95.69 0.52 247 44.17 70.57 1.28 0.10 0.62 1.55 0.08 203 8.26 95.07 248 45.72 70.49 204 8.39 0.13 94.44 0.63 28.85 249 47.30 1.58 70.46 +0.03 14.59 0.15 0.64 1.60 0.01 205 8.54 93.80 0.58 250 48.90 70.47 1.31 0.18 0.65 1.62 0.05 206 8.72 93.15 251 50.52 70.52 207 8.93 0.21 92.49 0.66 28.27 252 52.16 1.64 70.61 0.09 13.28 0.24 0.67 1.66 0.14 208 9.17 91.82 253 53.82 70.75 0.27 0.68 1.68 0.18 209 9.44 91.14 0.63 254 55.50 70.93 1.34 0.29 0.68 1.69 0.24 210 - 9.73 - 90.46 27.64 255 - 57.19 - 7M7 11.94 211 10.05 -0.32 89.77 +0.69 0.69 256 58.90 -1.71 71.45 -0.28 1.37 212 10.41 0.36 89.07 0.70 257 60.63 1.73 71.79 0.34 0.39 0.70 1.75 39 213 10.80 88.37 26.95 258 62.38 72.18 10.57 0.42 0.70 1.76 44 214 11.22 87.67 0.75 259 64.14 72.62 1.40 0.45 0.71 1 78 49 215 11.67 86.96 260 65.92 73.1] 216 12.15 0.48 86.25 0.71 26.20 261 67.70 1.78 73.66 0.55 9.17 217 12.67 0.52 85.55 0.70 0.80 262 69.49 1.79 74.26 0.60 1.43 218 13.22 0.55 84.84 0.71 263 71.29 1.80 74.92 0.66 0.59 0.70 1.80 0.71 219 13.81 84.14 25.40 264 73.09 75.63 7.74 0.62 0.70 1.80 0.77 220 - 14.43 - 83.44 0.86 265 - 74.89 - 76.40 1.45 221 15.08 -0.65 82.75 +0.69 266 76.70 -1.81 77.23 -0.83 0.69 0.69 1.81 fl flQ 222 15.77 82.06 24.54 267 78.51 78.12 u.oy 6.29 223 16.49 0.72 81.38 0.68 -0.91 268 80.31 1.80 79.07 0.95 1.46 224 17.25 0.76 80.71 0.67 269 82.11 1.80 80.09 1.02 225 - 18.05 -0.80 - 80.05 +-0.66 + 23.63 270 - 83.90 -1.79 - 81.16 -1.07 + 4.83 20 TABLE IV. Continued. PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. Terms multiplied with t. Argument = M. Arg. cl 5 Diff. ' Diff. C' Diff. Arg. ? Diff. '/' Diff. V Diff. o O 270 - 83.90 - 81.16 + 4.83 315 -123.58 -185.72 - 16.30 271 85.68 -1.78 82.29 -1.13 -1.48 316 122.82 +0.76 188.78 -3.06 -1.15 [ 1.78 1.20 0.86 3.05 272 87.46 83.49 317 121.96 191.83 273 89.23 1.77 84.75 1.26 3.35 318 121.01 0.95 194.86 3.03 I 17.45 1.75 1.32 1 .05 3.02 274 90.98 86.07 1.48 319 1 19.96 197.88 1.08 j 275 92.71 1.73 87.45 1.38 320 118.82 1.14 300.88 3.00 1 .72 1.45 1.24 2.98 276 94.43 88.90 1.67 321 in. .is 803.86 18.53 1.70 1.51 1.33 2.96 277 96.13 90.41 1.49 322 116.25 206.82 1.02 1.68 1.56 1.43 2.93 278 97.81 91.97 323 114.82 209.75 1.65 1.63 1 .f>:} 2.90 279 99.46 93.00 + 0.38 324 113.30 212.65 19.55 1.62 1.69 1.62 2.86 280 -101.08 - 95.29 1.49 :',2.1 -111.68 -21 :>..-> i 0.95 1.60 1.75 +1.71 2.83 281 102.68 97.04 326 109.97 218.34 282 104.24 1.56 98.86 1.82 1.11 327 108.16 1.81 221.12 2.78 20.50 283 105.7G 1.02 100.74 1.88 1.49 328 106.96 1.90 223.8S 2.73 0.88 1.49 1.94 1.98 2.69 284 107.25 102.08 329 104.98 226.54 1.46 1.99 2.07 2.65 285 108.71 104.67 2.60 330 102.21 229.19 21.38 1.42 2.05 2.16 2.57 286 110.13 106.72 1.48 331 100.05 231.76 0.81 1.37 2.12 2.24 2.53 287 111.50 108.84 332 97.81 2:14.29 288 112.82 1.32 111.01 2.17 4.08 333 95.48 2.33 236.74 2.45 22.19 1.27 2.23 2.41 2.39 289 114.09 113.24 334 93.07 239.13 1.23 2.28 1.46 2.49 2.33 0.73 290 -115.32 -115.52 335 - 90.58 -241.46 291 116.50 -1.18 117.86 -2.34 5.54 336 88.01 +2.57 243.70 -2.24 22.92 1.12 2.39 2.65 2.17 292 117.62 120.25 1.45 337 85.36 945.87 0.64 1.06 2.44 2.72 2.09 293 118.68 122.69 338 83.64 247.96 1.01 2.49 2.79 2.01 294 119.69 125.18 6.99 339 79.85 249.97 93.56 0.95 2.54 2.86 1.93 295 120.64 127.72 1.43 340 76.99 251.90 0.56 296 121.52 0.88 130.31 2.59 341 74.06 2.93 2.13.74 1.64 297 122.33 0.81 132.95 2.64 8.42 342 71.08 2.98 255.49 1.75 94.19 0.74 2.68 3.04 1.66 298 123.07 135.63 343 68.04 257.15 0.68 2.73 3.10 1.56 299 123.75 138.36 1.41 344 64.94 958.7] 0.47 0.61 2.76 3.16 1.47 300 -124.36 -141.12 9.83 345 - 61.78 -260.18 94.59 301 124.89 -0.53 143.92 -2.80 1.38 346 58.58 +3.20 2(ii.; 1.1 -1.37 0.38 302 125.34 0.45 146.76 2.84 347 55.33 3.25 968.88 1.27 0.37 2.87 3.29 1.17 303 186.71 149.63 11.21 348 52.04 20:5.99 24.97 304 126.00 0.29 152.53 2.90 1.34 349 48.71 3.33 265.05 1.06 0.29 305 126.21 0.21 155.46 2.93 350 45.35 3.36 266.00 0.95 306 126.34 0.13 158.41 2.95 12.55 351 41.96 3.39 966.85 0.85 2.1.20 307 126.38 0.04 161.3!) 2.98 1.30 352 38.55 3.41 267.59 0.74 0.19 308 120.35 +0.03 164.39 3.00 353 35.11 3.44 268.23 0.64 309 126.22 0.13 167.41 3.02 13.85 354 31.65 3.4C 208.75 0.52 25.45 0.21 3.03 1.25 3.48 0.41 310 -126.01 -170.44 355 - 28.17 -269.16 0.10 311 125.71 +0.30 173.49 -3.05 356 24.67 +3.50 269.45 -0.29 312 125.32 0.39 176.54 3.05 15.10 357 21.18 3.49 269.64 0.19 85.65 313 124.83 0.49 179.59 3.05 -1.20 358 17.0!) 3.49 869.78 -0.08 -0.01 314 124.25 0.58 182.65 3.06 359 14.19 3.50 2G9.C8 +0.04 315 -123.58 +0.67 -185.72 -3.07 - 16.30 360 - 10.69 +3.50 -269.53 +0.15 - 25.56 21 TABLE IV. Continued. PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. ARGUMENT I. Arg. r Dirt'. n 1 Diff. ff Diff. Arg. 9 Diff. ' Diff. * Dill'. o O 1 - 2528 3360 -832 -15741 15554 +187 -22 45 46 - 8100 7700 +706 +13147 13583 +436 + 19 + 2 2 4180 820 1 5324 230 47 G972 728 13982 399 3 4987 807 15053 271 2-2 48 0225 747 14342 360 21 4 5777 790 14740 313 + i 49 5459 766 14661 319 1 770 354 782 280 5 0549 1 13SO 50 4G77 14941 6 7301 752 13993 393 21 51 3882 795 15179 238 22 7 8031 730 432 5-2 3077 805 15374 195 + 1 8 8736 705 13092 469 2 53 22G3 814 15528 154 !> 9415 679 18588 504 19 54 1443 820 15639 111 23 651 539 825 67 10 1 1 -10066 10687 -621 -12049 1 1477 +572 2 55 56 - 618 + 210 +828 +15700 15730 + 24 1-2 11277 590 10874 6o:t 17 57 1038 828 15710 - 20 23 13 11834 557 102-12 632 3 58 1864 826 15648 62 - 1 14 18357 523 9583 660 59 8685 821 15542 106 15 18844 487 8896 686 14 60 3498 813 on- 15394 148 22 10 13293 449 8185' 711 3 61 4303 BUD 15203 191 2 41 1 732 794 233 17 13704 7453 62 5097 14970 372 780 274 18 14076 6701 11 63 5877 14696 20 331 771 764 314 19 14407 5930 64 6641 14382 290 raa 3 746 353 2 20 -14097 - 5144 65 + 7387 +14029 81 14945 -248 4:145 +799 8 00 8114 +727 13637 -392 18 22 15151 206 3534 810 4 67 8819 705 13208 429 2 23 15313 162 2714 . 820 68 9500 681 12743 465 84 15438 119 1887 827 - 4 69 1015G 656 12243 500 16 75 832 628 534 25 15507 1055 4 70 10784 11709 3 20 15538 - 31 - 221 83-1 71 1 1 :!, J 3 599 11144 565 27 15525 + 13 + G13 834 72 11952 569 10518 596 13 28 15467 58 1445 832 73 12488 536 9923 625 29 153G6 101 2273 828 4 74 12990 502 9-272 651 4 144 820 468 676 30 -15383 + 3093 + 4 75 +13458 + 6596 9 31 1 5035 +187 3905 +812 3 76 13889 +431 7898 -700 4 32 14805 230 4705 800 77 14283 394 7176 720 33 145:!'.! 272 5491 786 7 78 14638 355 6436 740 5 34 14221 312 G2G2 771 4 79 14954 316 5678 758 4 35 13868 353 7015 753 80 15229 275 490G 772 36 1347G 392 7749 734 11 81 15464 235 4120 786 + 1 37 13046 430 8460 711 3 82 15G5G in 3324 796 4 38 12580 466 9148 688 83 15807 151 2519 805 39 12078 502 9810 662 14 84 15916 109 1708 811 - 3 536 634 66 815 4 40 -11542 +10444 3 85 +15982 + 893 41 10973 +569 11049 +605 86 10005 + 23 + 76 -817 599 575 20 817 42 10374 1 10-21 17 87 15985 - 741 7 4:i 9745 629 12166 542 + 2 88 15922 63 1 555 814 - 4 657 508 105 44 9088 12674 89 15817 2364 45 - rlllO +682 +13147 4473 + 19 90 +15670 -147 - 3167 -803 - 11 22 1 TABLE IV .Continued. PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. ARGUMENT I. Arg. e Diff. I 1 Diff'. f Diff. Arg. ' Diff. V Diff. t Diff. o 90 +15670 - 3167 - 11 135 -12126 - 8574 - 24 91 15481 -189 3960 -793 - 4 13C 12532 -406 7901 +673 + 3 230 782 369 693 92 15251 4742 137 12901 T'JO'" 1 271 768 332 710 93 14980 5510 15 138 13233 6498 21 311 753 292 727 94 14669 6263 4 139 13525 5771 2 349 735 254 741 95 14320 6998 140 13779 5030 387 715 213 753 96 13933 7713 19 141 13992 4277 19 424 694 172 762 97 13509 8407 3 142 14164 3515 3 459 670 132 770 98 13050 9077 143 1429C 2745 493 645 90 775 99 12557 9722 22 144 14386 1970 1C 526 618 48 779 100 +12031 -10340 3 145 -14434 - 1191 3 101 11474 -557 10929 -589 14C 14441 ' - 411 +780 587 559 + 35 778 102 10887 11488 25 147 14406 + 367 13 615 527 77 774 103 10272 12015 3 148 14329 1141 2 104 9630 642 12509 494 149 14210 119 1910 769 666 459 159 761 105 8964 12968 28 150 14051 2671 11 106 8275 689 13392 424 2 151 13850 201 3422 751 3 709 387 240 739 107 7566 13779 152 13610 4161 728 349 279 725 108 6838 14128 30 153 13331 4886 8 745 310 318 708 109 6093 14438 154 13013 5594 759 270 1 355 690 1 110 + 5334 -14708 155 -12658 + 6284 111 4562 772 14938 -230 31 156 12266 +392 6954 +670 7 112 3780 782 15128 190 - 1 157 11839 427 7601 647 2 113 2990 790 15276 148 158 11378 46; 8224 623 114 2194 796 15382 106 32 159 10885 493 8822 598 5 801 65 525 570 115 1393 15447 160 103CO 9392 1 116 + 591 802 154C9 22 161 9805 555 9933 541 801 19 584 510 117 - 210 15450 32 162 9221 10443 4 118 1008 798 15388 62 163 8611 610 10921 478 119 1801 793 15285 103 164 7976 635 11366 445 + 1 786 145 658 409 120 121 - 2587 33C3 -776 -15140 14955 +185 32 + 1 165 166 - 7318 GG39 +679 +11775 12149 +374 3 122 4128 765 14729 226 167 5941 698 12486 337 752 265 715 OQO 123 4880 14464 31 168 522G 12784 jyo 3 124 5615 735 14159 305 1 169 4495 731 13044 260 125 6332 717 13817 342 170 ;!751 744 13263 219 126 7030 698 13438 379 30 171 2996 755 13443 180 4 127 7707 677 13023 415 2 172 2233 763 13582 139 1 653 450 770 Q7 128 8360 12573 173 1463 13679 Wf 129 8987 627 12090 483 28 174 - 689 774 13735 56 5 600 516 776 + 14 130 - 9587 -11574 2 175 + 87 +13749 2 131 10158 571 CAl 11029 +545 176 863 +776 13721 - 28 132 10699 O41 10455 574 2G 177 1637 774 13652 69 7 133 11208 509 9853 602 + 2 178 2407 770 13540 112 - 2 134 11684 476 9225 628 179 3169 762 13388 152 135 -12126 -442 - H.7M +651 - 24 180 + 3922 +753 +13195 -193 - !) 23 UNIVERSITY TABLE IV. Continued. PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. ARGUMENT I. Arg. P Diff. *' Diff. P Dill 1 . Arg. ? Diff. Diff. ff Diff. 180 + 3922 +13195 - 9 225 + 5845 -14504 - 44 O34 751 345 181 4G6'i 12961 - 2 226 5094 14849 + 2 729 974 769 306 182 5393 12687 227 4325 15155 714 313 786 267 183 6107 12374 11 -228 3539 15422 42 184 6803 6 42 258 16913 4698 12 214 12357 392 8491 706 2 259 17167 254 3864 834 8 215 11927 430 9177 686 260 17379 212 3017 847 216 11460 467 9840 663 44 261 17548 169 2159 858 20 217 10958 502 10479 639 - 1 262 17672 124 1293 866 7 536 612 80 870 218 10422 11091 263 17752 - 420 to 568 584 35 876 219 9854 11675 45 264 17787 + 456 27 600 555 + 9 878 220 + 9254 -12230 265 -17778 + 1334 8 221 8624 630 12753 523 266 17723 + 55 2212 +878 222 7967 657 13244 491 45 267 17624 99 3087 875 35 223 7283 684 13700 456 + 1 268 17480 144 3956 869 + 7 708 420 188 862 224 6575 14120 269 17292 4818 225 + 5845 -730 -14504 -384 - 44 270 -17060 4-232 + 5671 +853 + 42 24 TABLE IV. Continued. PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. AKGl.MK.NT I. Arg. ' Diff. n> Diff. V Diff. Arg. f Diff. >/ Diff. P Diff- 270 -17060 + 5671 + 42 O +14682 -I- !l!C.-> + 4s 271 16784 +276 6511 +840 + 6 316 15136 +454 -764 319 826 414 785 272 16405 7337 317 15550 8426 273 10104 361 8146 809 48 318 15923 373 7681 805 4-2 402 791 331 274 15702 8937 6 319 16254 6799 6 275 15260 442 9707 770 320 105-12 288 5901 838 276 14779 481 10454 747 54 321 16786 244 5111 850 3C 277 14260 519 11170 722 5 322 16986 200 4250 961 6 278 13705 555 11872 696 323 17142 156 3380 870 279 13115 590 12539 007 59 324 17252 110 2505 875 30 624 636 65 879 260 -12491 +13175 4 325 +17317 + 1020 , 281 11835 +656 13780 +605 326 17337 + 20 + 745 -881 282 11149 686 14351 571 03 327 17:: 12 - 25 880 23 283 10434 715 14887 536 3 328 17241 71 1011 876 6 284 9699 742 15380 499 17125 116 1882 871 285 8926 766 15847 461 00 330 1G905 100 2715 863 17 286 8137 789 10209 422 3 331 16760 205 3598 8S3 . 287 7327 810 16051 382 333 10511 249 4438 840 288 6498 829 10991 340 09 333 10220 291 5263 825 10 289 5653 845 17289 298 334 15887 333 6072 809 859 265 1 374 790 290 - 4794 +17544 335 +15513 - 6662 291 3922 +872 177.-..-, +211 70 336 15099 =-414 7630 -768 + 4 292 3041 881 17921 166 + 1 337 14646 453 8376 746 5 293 2152 889 18043 122 338 14156 490 9097 721 294 1258 894 18120 77 71 339 13630 526 9790 093 _ I 295 362 896 18151 + 31 - 1 340 13069 561 10455 005 5 296 + 535 897 18137 14 341 12475 594 11089 634 297 1430 895 18077 60 70 342 11849 626 11091 602 298 2321 891 1 7972 105 1 343 11193 656 12259 568 299 3205 ." i 17823 149 344 10510 881 12793 534 r, 875 195 709 497 300 301 + 4080 4944 +864 +17628 17389 -239 69 3 345 346 9067 -734 -13290 13748 T458 11 4 302 5794 850 Doe 17107 282 347 8311 756 14108 420 303 6629 B08 RT7 16783 324 00 348 7835 776 14548 380 15 304 7446 ol * 7Qfi 10416 367 3 349 6741 794 14886 338 ., 305 8242 IIW - f 16008 408 350 5933 809 15183 297 306 9017 1 'O Tftl 15561 447 G3 351 5109 15437 254 18 307 9768 fOl 15075 486 4 352 4275 8H4 15647 210 2 308 10492 RQfi 14552 523 353 3432 843 15814 167 309 11188 MB 13993 559 59 354 2582 850 15937 123 20 667 593 854 79 310 +11855 +635 +13400 5 355 + 1728 -10016 1 311 12490 602 12774 626 356 871 -857 10050 - 34 312 13092 567 12116 658 54 357 + 10 855 10039 + 11 3 313 13659 11429 687 - 6 358 - 838 854 15984 55 - 1 314 14189 10715 714 359 1667 849 15884 100 315 +14682 + 9975 740 + 48 300 - 2E28 -841 -15741 +143 - 2 25 TABLE IV .Continued. PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. ARGUMENT II. Arg. * Diff. Dill'. f Diff. Arg. t Diff. Diff. C' Diff. + 3698 -14558 - 04 45 +12944 - 8037 -287 1 3953 +255 14500 + 58 -18 46 13077 +133 7817 +220 -10 253 63 128 222 2 4200 14437 I 47 13205 7595 252 67 125 225 3 4458 14370 82 48 13330 7370 297 251 71 121 227 4 4709 14899 17 49 13451 7143 9 249 76 116 229 5 4958 14223 50 13507 6914 248 80 113 231 6 5206 14143 99 51 13080 6683 300 246 H". 108 233 7 5452 14058 18 52 13788 6450 9 8 5090 244 13970 88 53 13892 104 6215 235 243 93 100 237 9 5939 13877 117 54 13992 5978 315 241 97 96 239 10 + 6180 -13780 17 55 +14088 - 5739 7 11 6419 +239 13678 + 102 50 14179 + 91 5498 +241 237 105 87 242 12 6656 13573 134 57 14206 5256 322 235 110 83 244 13 6891 13463 16 58 14349 5012 7 9.T9 1 13 78 245 14 7123 13350 59 14427 4767 231 1 1H 247 15 7354 13032 150 GO 14501 4520 329 228 121 70 248 10 7582 13111 17 01 14571 4272 5 226 126 65 250 17 7808 12985 02 14636 4022 18 8032 224 12855 130 L67 03 14696 60 3771 251 334 221 133 252 19 8253 12722 04 14753 3519 219 137 It 52 253 5 20 21 + 8472 8688 +216 -12585 12443 +142 182 05 66 +14805 14852 + 47 - 3266 3012 +254 339 22 8902 214 12298 145 16 67 14895 43 2757 255 4 21 1 148 38 255 23 9113 12150 68 14933 2502 24 9321 208 11997 153 198 69 14967 34 2245 257 343 205 156 29 257 25 9696 11841 14 70 14990 1988 3 20 9728 202 11682 159 71 15021 25 1730 258 27 9927 199 11518 164 212 72 15041 20 1472 258 346 28 10124 1117 11352 166 73 15050 15 1213 259 29 10317 | la<> iiiea 170 15 74 15007 11 954 259 1 190 174 6 260 30 31 +10507 10694 +187 -11008 10831 +177 227 13 75 76 +15073 15075 + 2 - 094 434 +960 347 1 183 180 | _ o 260 32 10877 10051 77 15072 - 174 33 11058 181 10408 !" 240 78 15005 7 + 80 260 348 34 1 1235 177 10282 16 13 79 15053 12 340 260 35 11408 10092 190 80 15037 16 605 259 30 11578 9899 193 253 81 15010 21 865 260 348 37 11744 100 9704 195 12 82 14990 26 1125 260 + 1 38 1 1907 163 9505 199 83 14900 30 1384 259 39 12067 160 9303 202 265 84 14925 35 1042 258 347 155 204 39 259 40 41 +12222 12374 +152 - HIM HI 8892 +207 12 85 86 +14880 14842 - 44 + 1901 2158 +257 1 42 12523 149 8082 210 277 87 14794 48 2415 257 346 43 12667 144 8470 212 -10 88 14741 53 2071 256 + 3 44 12807 140 8255 215 89 14084 57 2927 256 45 +18944 +137 - 8037 +218 -287 90 +14023 - 61 + 3181 +254 -343 26 TABLE IV. Continued. PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. ARGUMENT II. Arg. s DifV. rf Diff. f Diff. Arg. C7 s Diff. ,/ Diff. :' Diff. O ~ 1 90 +14623 + 3181 -343 135 + 7759 +125GO -197 91 14557 - 66 3435 +254 + 4 136 7532 -237 12700 +140 + 15 71 S53 229 135 92 14486 3688 137 7803 12835 75 251 231 131 93 14411 3939 339 138 7072 12960 189 79 250 234 127 94 14332 4189 5 139 6838 13093 16 95 14248 84 4438 249 140 GG03 235 13217 CM 96 14160 88 4686 248 334 141 6365 238 13336 119 106 97 14068 H 4932 246 6 142 6126 239 13453 116 16 98 13971 97 5177 245 143 5884 Ml 13663 111 99 13870 101 5421 244 328 144 5G41 243 13670 107 150 105 241 245 103 100 +13765 + 5G62 6 145 + 5396 +13773 17 101 1365G -109 6903 +240 14G 5150 -246 1387S + 99 102 13543 113 GUI 239 322 147 4902 248 139GG 94 133 103 13426 117 G377 236 8 148 4652 250 14 050 90 ,. 104 13304 12-2 6G11 234 149 4401 251 14142 86 105 13178 186 6843 232 314 150 4148 253 14224 82 110 106 13049 129 7074 231 8 151 3895 253 14301 77 17 107 13915 134 7302 228 152 3G40 255 14374 73 108 12778 137 7528 226 306 153 3383 257 14443 69 99 109 12637 141 7751 223 154 312G 257 14507 64 146 222 9 258 60 18 110 +12491 + 7973 165 + 28G8 +14567 111 12342 149 8192 +219 297 156 2G09 -259 14622 +55 81 112 12190 153 8408 216 10 157 2350 259 14673 51 18 113 12033 157 8622 214 158 2089 261 14719 46 114 11873 160 8833 211 287 159 1828 261 14761 42 63 115 11709 164 9042 209 11 160 1566 262 14798 37 18 110 11542 167 9248 206 1G1 1304 262 14831 33 117 11371 171 9451 203 276 162 1041 263 14860 29 45 118 11197 174 9651 200 163 778 263 14884 24 119 11019 178 9848 197 11 164 515 263 14903 19 18 181 195 263 14 120 121 +10838 10653 -185 +10043 10234 +191 2G5 12 165 166 + 252 12 -264 +14917 14927 + 10 27 18 122 104CG 187 10422 188 167 275 263 14933 6 123 10275 191 10607 185 253 168 539 264 14934 + 1 - 9 124 10081 194 10789 182 13 169 802 263 14930 - 4 18 125 9884 197 10967 178 170 1065 263 14929 8 126 9684 200 11142 175 240 171 1328 263 14910 12 + 9 127 9481 203 11314 172 14 172 1590 262 14893 17 19 128 9275 206 11483 169 173 1852 262 14871 22 129 9067 208 11647 164 226 174 2113 261 14844 27 28 212 162 261 31 130 131 + 8855 8641 -214 +11809 119G7 +158 14 175 17G - 2374 2634 -260 +14813 14778 - 35 18 132 8424 217 12121 154 212 177 2894 260 14739 39 46 133 8205 219 12271 150 + 15 178 3152 258 14695 44 + 18 134 7983 222 12418 147 179 3409 257 14646 49 135 -f 77.V.( 224 i rj.-,oi) +144 -197 180 - 3666 -257 +14592 - 54 + G4 27 TABLE IV .Continued. PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. ARGUMENT II. Arg. * Diff. r,' Diff. C' Diff. Arg. f Diff. I 1 Diff. P Diff. O 180 - 3666 +14592 + 04 225 -12966 + 8052 + 287 181 3921 -255 14535 - 57 + IS 226 13100 -134 7831 -221 + 10 254 63 129 224 182 4175 14472 227 13229 7607 253 67 126 226 183 4428 14405 82 228 13355 7381 297 252 71 122 228 184 4680 14334 17 229 13477 7153 9 350 117 230 185 4930 14259 230 13594 6923 249 80 114 233 186 5179 14179 99 231 13708 6690 306 247 84 109 234 187 5426 14095 18 232 13817 6456 9 245 89 105 237 188 5671 14006 233 13922 6219 244 93 101 238 189 5915 13913 117 234 14023 5981 315 242 97 96 240 190 - 6157 +13816 17 235 -14119 + 5741 7 191 6397 -240 1 37 1 5 -101 236 14211 - 92 5499 -242 238 105 88 244 192 6635 13610 134 237 14299 5255 322 236 110 84 245 193 6871 13500 16 238 14383 5010 7 234 113 79 247 194 7105 L3387 239 14462 4763 232 118 248 195 7337 13269 150 240 14537 4515 329 229 122 70 249 196 75GC 13147 17 , 241 14607 4206 5 228 126 65 251 197 77114 13021 242 14G72 4015 225 130 61 252 198 8019 18891 167 243 14733 3763 334 222 133 57 253 199 .-2 1 1 18758 244 14790 3510 220 138 15 52 255 5 200 - 8461 +12620 245 -14842 + 3255 201 8679 -218 12478 -142 182 246 14890 - 48 3000 -255 339 215 145 43 256 202 8894 12333 16 247 14933 2744 4 212 149 39 257 803 9106 13184 248 14972 2487 209 153 34 258 204 9315 12031 198 249 15006 222! I 343 206 157 29 258 205 9521 11874 14 250 15035 J971 3 204 ]60 25 259 206 9726 11714 251 15060 1712 201 164 20 260 207 9926 11550 212 252 15080 1452 346 198 167 16 260 208 10124 11383 253 15096 1192 1 194 171 11 260 209 10318 11212 15 254 15107 932 . 192 174 6 260 210 -10510 +11038 227 255 -15113 -i- (172 347 188 178 2 211 10698 108GO 13 256 15115 411 + 1 185 181 + 3 261 212 10883 10G79 257 15112 + 150 182 184 g 261 213 11065 104115 240 258 15104 - Ill 348 178 187 12 261 214 11243 10308 13 ' 259 15092 372 175 191 17 260 215 11418 10117 260 15075 632 171 193 22 261 216 11589 9924 253 261 15053 893 348 168 197 26 260 217 11757 9727 12 2G2 15027 1153 1 164 200 30 ^60 213 11981 11527 263 14997 1413 219 12082 161 9325 202 205 264 14962 35 1673 260 347 157 206 40 258 220 -12239 + 9119 12 265 -14922 - 1931 1 221 12392 -153 8911 -208 266 14878 + 44 2190 -259 149 211 49 257 222 18641 8700 277 267 14829 2417 346 145 214 53 257 223 12086 8486 + 10 268 1477G 2704 3 221 12828 142 8270 216 269 14718 58 2960 256 285 -12966 -138 + 8052 -218 + 287 270 -14G55 + 63 - 3216 -256 + 343 28 TABLE IV .Continued. PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL, ARGUMENT II. Arg. r Diff. j Diff. V Diff. Arg. ' Diff. V Diff. ' Diff. 270 271 -14655 14588 + 67 - 3216 3470 -2.14 + 343 - 4 315 316 - 7737 7509 +228 230 -12575 12713 -138 134 I'.IT - 15 272 14517 71 3722 252 317 7279 o*lo 19847 1 VI 273 14441 76 3974 252 339 318 7047 JKfS 19977 loU [83 80 251 235 126 274 14361 4225 5 319 6812 236 13103 16 275 14276 85 4474 249 320 0570 13385 276 14187 89 4722 248 334 321 6337 239 13343 118 100 277 14094 93 4969 247 6 322 6097 240 13457 114 16 QQ 245 243 110 278 13996 yo 5214 323 5854 13567 279 13895 101 5457 243 328 324 5610 244 13073 106 150 107 242 246 its 280 -13788 - 5699 6 325 - 5364 13775 17 281 13678 +110 5939 -240 326 5117 -1-247 13878 - 97 282 13564 114 6177 238 322 327 4868 249 13965 93 133 119 237 250 89 283 13445 6414 8 328 4618 14054 17 284 13322 123 6648 234 329 4366 252 14139 85 126 232 253 80 285 13196 6880 230 314 330 4113 255 14'.' 19 76 110 286 13065 ' 7110 8 331 3858 14295 17 135 228 255 72 287 12930 7378 332 3603 14367 139 226 67 288 12791 7504 306 333 3346 14434 DO 142 223 257 63 289 12649 7787 334 3089 14497 147 221 9 259 59 18 290 -12502 - 8008 335 - 2830 -14666 291 12352 +150 8227 -219 297 336 2571 +259 14010 - 54 81 154 216 260 49 292 12198 8443 10 337 2311 14659 18 158 213 261 45 293 12040 8656 338 2050 14704 162 211 261 41 394 11878 8867 287 339 1789 14745 63 165 208 262 37 295 11713 9075 11 340 1527 14782 18 169 205 262 32 296 11544 9280 341 1265 14814 172 202 263 27 297 11372 9482 276 342 1002 14841 45 298 11197 175 9682 200 343 739 263 14863 13 179 196 263 18 299 11018 9878 11 344 476 14881 18 183 194 264 14 300 -10835 -10072 265 345 - 212 -14895 27 301 10650 +185 10263 -191 12 346 + 51 +263 14904 - 9 18 189 187 263 5 302 10461 10450 347 314 14909 193 184 263 303 10268 10634 253 348 577 14909 + 9 195 181 263 + 5 304 10073 10815 13 349 840 14904 18 198 178 263 g 305 9875 10993 350 1103 14895 202 174 263 13 306 9673 11107 240 351 1366 14882 9 204 171 262 18 307 9469 11338 14 352 1628 14864 19 207 167 261 23 308 9262 11505 353 1889 14841 210 164 261 27 309 9052 1 1609 226 354 2150 14814 28 213 160 260 31 310 311 - 8839 8624 +215 -11829 11986 -157 14 355 356 + 2410 2670 +560 -J4783 14747 + 36 18 218 153 258 41 312 8406 12139 212 357 2928 14706 46 313 8185 221 12288 149 - 15 358 3186 258 14061 45 - 18 314 7902 223 12433 145 359 3443 257 14612 49 315 - 7737 +225 -12575 -142 + 197 360 + 3698 +255 - 14558 + 54 - 64 29 TABLE IV. Continued. PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. ARGUMENT 111. Arg. f Diff. I 1 Diff. V Diff. Arg. P Diff. V Diff. P Diff. O - 3825 - 3624 + 18 45 - 5201 + 126 + 2 61 4- 68 + 5 f 91 1 3886 3556 46 5196 217 61 69 5 90 2 3947 3487 47 5190 307 3 4000 59 3417 70 + 5 48 5183 7 398 91 + 46 4 4063 57 3347 70 49 5174 9 488 90 5 4120 57 3275 72 50 5163 11 579 91 1 55 73 12 90 4175 3909 23 51 5151 009 7 422!) 54 3129 73 52 5137 14 759 90 53 75 15 89 8 4282 3054 53 5122 848 9 4333 51 2979 75 54 5105 17 938 90 47 50 77 4 18 89 10 - 4383 - 2902 55 - 5087 + 1027 11 4432 - 49 2825 + 77 56 5007 + 20 1115 + 88 1 47 78 O4 RQ 19 4479 2747 27 57 5045 1204 oy 46 79 ^3 88 13 4525 2668 58 5022 1399 44 80 24 87 14 4509 2588 59 4998 1379 15 4012 43 2508 80 4 60 4972 26 1406 87 48 41 81 27 87 10 4053 2427 61 4945 1553 17 4693 40 2345 82 02 4910 29 1639 86 18 4732 39 2263 82 31 63 4886 30 1725 86 + 1 19 4709 37 2180 83 64 4854 32 1810 85 36 84 33 84 20 - 4805 - 2096 4 65 - 4821 + 1894 21 4839 - 34 2011 + 85 66 4786 + 35 1978 + 84 49 22 4872 33 1926 85 07 4750 36 2062 84 23 4903 31 1841 85 68 4713 37 2144 82 94 4933 30 1755 86 35 69 4674 39 2226 82 25 4901 28 1668 87 70 4034 40 2308 82 26 4988 27 1581 87 71 4593 41 9389 81 27 5013 25 1494 87 3 72 4550 43 2468 79 49 28 5037 24 1406 88 73 4500 44 2548 80 29 5059 22 1317 89 74 4460 46 2020 78 20 88 47 78 - 1 30 - 5079 - 1229 38 75 - 4413 + 2704 31 5098 19 1140 + 89 70 4365 4- 48 2780 + 76 32 5116 18 1051 89 77 4316 49 2850 76 33 5132 16 961 90 3 78 4265 51 2932 ' 76 48 34 5146 14 871 90 79 4213 52 3000 74 35 5159 13 781 90 80 4160 53 3079 73 36 5170 11 091 90 41 81 4105 55 3151 72 1 37 5180 10 600 91 82 4050 55 3933 72 38 5188 8 510 90 83 3993 57 3293 70 39 5194 6 419 91 + 3 84 3935 58 3303 70 47 5 91 60 68 40 - 5199 - 328 85 - 3875 + 3431 41 5203 4 238 + 90 86 3815 + 60 3499 + 68 2 42 5205 2 147 91 + 44 87 3754 61 3665 66 43 5205 - 50 91 88 3691 63 3631 66 44 5204 + 1 + 35 91 89 3628 63 3695 64 45 - 5201 + 3 + 126 + 91 + 2 90 - 3563 + 65 + 375,-i + 63 + 45 30 TABLE IV .Continued. PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. ARGUMENT 111. Arg. F Diff. * Diff. f Diff. Arg. P our. Diff. f Diff. O O 90 - 3563 + 3758 + 45 135 + 103 + 5224 4 91 3497 + 66 3820 -f 62 136 199 + 89 5223 - i 67 61 90 92 3430 3881 137 282 5220 67 60 90 93 3363 69 3941 - 2 138 373 5215 O + 17 94 3294 3999 58 139 461 89 5209 G 95 3224 70 4057 58 140 550 89 5201 8 96 3154 70 4113 56 43 141 640 90 6193 9 5 97 3082 72 4168 55 142 729 89 5181 11 98 3009 73 4221 53 143 818 89 5168 13 99 2936 73 4274 53 3 144 907 89 5154 14 19 74 51 89 1C 100 2862 + 4325 145 + 995 + 5138 101 2787 + 75 4375 + 50 146 1083 + 88 5181 - 17 5 102 2711 76 4424 49 40 147 1171 88 6103 18 103 2634 77 4471 47 148 1259 88 5083 20 104 2557 77 4517 46 149 1346 87 50(51 22 105 2478 79 4561 44 3 150 1433 87 6837 24 7 106 2399 79 4605 44 151 1519 86 6019 25 107 2320 79 4647 42 152 1605 86 4986 26 108 2239 81 4687 40 37 153 Hi91 (6 4958 28 5 109 2158 81 4726 39 154 1776 85 4929 29 81 38 84 31 110 111 - 2077 1994 + 83 + 4764 4800 + 36 3 155 156 + 18GO 1944 + 84 + 4898 4866 - 32 + 2 112 1911 83 4835 35 157 2028 84 4832 34 113 1828 83 4868 33 158 2111 83 4797 35 114 1744 84 4900 32 34 159 2193 82 4760 37 5 115 1659 85 4931 31 160 2275 82 4722 38 116 1574 85 4960 29 161 2356 81 4689 40 117 1489 85 4988 28 4 162 2436 80 4641 41 _ :! 118 1403 86 5014 26 163 2516 80 4599 42 119 1316 87 5038 24 164 2595 79 4555 44 66 23 78 45 120 121 - 1230 1143 + 87 + 5061 5083 + 22 30 165 166 + 2673 2751 + 78 + 4510 4463 47 6 122 1055 88 5103 20 1(17 2827 76 4415 48 123 967 88 5122 19 4 168 2903 76 436G 49 9 124 879 88 RR 5139 17 1G9 2978 75 4315 51 125 791 OB 5154 15 170 3052 74 4263 52 - 126 702 89 on 5168 14 26 171 3125 73 4210 53 5 127 613 oy so 5181 13 172 3198 73 4155 55 128 524 Of 5192 11 173 3269 71 4099 56 129 435 5201 9 5 174 3340 71 4042 57 14 90 8 , 69 58 130 - 345 + QQ + 5209 175 + 3409 + 3984 131 256 oy on 5215 + 6 176 3478 + 69 3924 - 60 - 4 132 166 yv QQ 5220 5 + 21 177 3545 67 3863 61 133 - 77 Oy Oft 5223 3 178 3612 67 3801 62 134 + 13 yu 5224 f 1 179 3677 65 3738 63 135 + 103 + 5224 - 4 180 + 64 + 3674 - 64 - 18 31 TABLE IV. Continued. PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. ARGUMENT III. Arg. f Diff. V Diff. ff Dill". Arg. e Diff. *' Diff. P Diff. 180 + 3741 + 3674 - 18 225 + 5247 - 64 - 2 181 3804 + 63 3608 66 226 5246 1 157 93 62 66 3 92 182 3866 3542 227 5243 249 61 68 5 93 183 3927 3474 - 5 228 5238 342 - 40 60 69 7 92 184 3987 3405 229 5231 434 185 4046 59 3335 ;o 230 5223 8 527 93 57 71 9 92 186 4103 3264 - 23 231 5214 619 1 56 72 11 92 187 4159 3192 232 5203 711 55 73 13 92 188 4214 3119 233 5190 803 54 74 15 91 189 4208 3045 4 234 5175 894 47 52 75 16 92 190 + 4320 + 2970 235 + 5159 - 986 + 51 18 91 191 4371 2895 236 5141 1077 1 192 4421 50 2818 77 27 237 5122 19 1168 91 49 78 21 90 193 4470 2740 238 5101 1258 47 78 22 90 194 4517 2662 239 5079 1348 46 80 24 90 195 4563 2582 4 240 5056 1438 48 44 80 26 89 196 4607 2502 241 5029 1527 197 4650 43 2421 81 349 5002 27 1616 89 42 81 29 88 198 4 6! 12 2340 31 243 4973 1704 - 1 40 83 30 88 199 4732 2257 244 4943 1792 39 83 32 87 200 + 4771 + 2174 245 + 4911 - 1879 f 37 84 34 87 201 4808 2090 4 246 4877 1966 49 36 85 35 86 202 4844 2005 247 4842 2052 35 85 36 85 203 4879 1920 248 4806 2137 33 86 38 85 204 4912 1834 35 249 4768 2222 31 86 39 84 205 4943 .1748 250 4729 2306 30 87 41 84 206 4973 1661 251 4688 2390 29 88 43 83 207 5002 1573 3 252 4645 2473 49 27 83 44 82 208 5029 1485 253 4601 2555 25 88 45 81 209 5054 1397 254 4556 2636 24 89 47 80 + 1 210 + 5078 + 1308 38 255 + 4509 - 2716 + 22 90 48 80 211 5100 1218 256 4461 2796 21 90 50 78 212 5121 1128 257 4411 2874 GO 90 51 78 213 5141 1038 3 258 4360 2952 48 17 91 52 77 214 5158 947 259 4308 3Q29 16 91 54 76 215 5174 856 260 4254 3105 216 5189 15 765 91 41 261 4199 55 3180 75 1 13 91 56 74 217 5202 674 262 4143 3254 11 92 58 73 218 5213 582 263 " 4085 3327 10 92 59 72 219 5223 490 3 264 4026 3399 47 8 92 60 71 220 + 5231 + 398 265 + 3966 - 3470 + 6 92 61 70 221 5837 306 266 3905 3540 + 2 5 93 63 69 222 5242 213 - 44 267 3842 3609 4 92 64 67 223 5246 121 268 3778 3676 + 1 93 65 67 224 5247 + 28 269 3713 3743 o 92 gg gr; 225 I- r,2!7 61 - 2 270 + 3647 - 3808 - 45 32 TABLE I'M .Continued. PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. ARGUMENT III. Arg. P Diff. V Diff. * Diff. Arg. ' Diff. "' Diff. P Diff o 270 + 3647 - 3808 - 45 315 149 93 5286 - 3 + 4 271 3579 - 68 3872 64 316 242 93 5283 272 3511 68 3935 63 317 335 92 5278 _ 273 3441 70 3997 63 4- 2 318 427 92 5271 8 - 17 274 3370 71 4058 61 319 519 92 5263 10 275 3298 72 4117 59 320 611 92 6953 12 276 3226 72 4175 58 43 321 703 92 5241 13 5 277 3152 74 4231 56 322 795 91 5228 14 278 3077 75 4287 56 323 886 91 5214 17 279 3001 76 4341 54 3 324 977 5197 18 77 52 91 18 280 281 + 2924 2847 ' - 77 - 4393 4445 - 52 325 326 - 1068 1158 - 90 90 - 5179 5160 4- 19 21 5 282 2768 79 4495 50 40 327 1248 89 5139 23 283 2689 79 4543 48 328 1337 89 5116 24 284 2608 81 4590 47 329 1426 5092 26 285 2537 81 4636 46 3 330 1515 88 5066 28 7 286 2445 83 4680 44 331 1603 88 5038 29 287 2363 83 4723 43 332 1691 07 5009 30 288 2279 84 4764 41 37 333 1778 o/ Of! 4979 32 5 289 2195 84 4804 40 334 1864 BO 4947 85 38 86 34 290 + 2110 - 4842 3 335 - 1950 ftfi - 4913 + JK 291 2025 85 4879 37 336 2035 OD 4878 OO 36 _ o 292 1939 86 4914 35 337 2120 85 84 4842 33 293 . 1852 87 4948 34 338 2204 QQ 4804 40 294 1765 87 4980 32 34 339 2287 CO CO 4764 41 5 295 1677 88 CO 5011 31 29 340 2369 OH 82 4723 42 296 1589 oo 5040 341 2451 01 4681 44 297 1500 89 5067 27 4 342 2532 61 Rfl 4637 45 4- 3 298 1411 89 5093 26 343 2612 OU 4592 47 299 1321 90 5117 24 344 2691 79 4545 90 23 78 48 300 4- 1231 - 5140 30 345 - 2769 - 4497 6 301 1140 91 5161 21 346 2846 77 4448 4~ 49 90 20 77 51 302 1050 5181 347 2923 4397 303 958 92 5199 18 4 348 2999 76 4345 52 9 304 807 91 5215 16 349 3073 .74 4292 53 92 15 74 305 775 5230 350 3147 4237 92 13 72 56 306 683 5243 26 351 3219 4181 5 307 591 92 5254 11 352 3291 72 4124 57 92 10 71 58 308 499 5264 353 3362 4066 93 g 69 60 309 406 5272 5 354 3431 4006 14 92 6 69 61 310 4- 314 - 5278 355 - 3500 - 3945 311 221 - 93 5283 - 5 356 3567 ~ 67 3883 4- 62 92 3 66 63 312 129 5286 - 21 357 3633 3820 4 4 93 g 65 64 313 4- 36 5288 358 3698 3756 314 - 57 93 5288 359 3762 64 3690 66 315 - 149 - 92 - 5286 4- 2 4- 4 360 -3825 - 63 -- :!<;> i 4- 66 4- 18 33 TABLE IV. Continued. PERTURBATIONS OF 1 HE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. ARGUMENT IV. Arg. f Diff. ,,' Diff. f Diff. Arg. a s Diff. V Diff. C' Diff. O + 1157 - 3275 - 1 45 + 1474 + 2694 + 4 1 1320 3204 + 71 46 1328 -146 2755 + 61 80 148 53 2 1479 3124 47 1180 2808 1 ~td 87 150 45 3 1633 3037 - 5 48 1030 2853 - 6 ISO 95 153 37 4 1783 2942 49 877 2890 102 153 29 5 . 1927 2840 50 724 2919 108 154 21 6 2066 2732 6 51 570 2940 5 7 2198 i 2610 116 52 415 155 2953 13 122 155 + 4 8 2324 2494 53 260 2957 128 154 4 9 2443 3368 54 + 100 2953 - 1 113 134 4 153 12 10 + 2556 - 2232 55 - 47 + 2!M1 11 2601 2094 +138 56 200 -153 2921 - 20 6 no 143 150 28 12 2759 1951 10 57 350 2893 13 2649 1803 148 58 498 148 2857 36 OQ 151 146 44 14 2931 1652 59 644 2813 15 3004 1496 156 3 00 787 143 2762 51 + 5 16 3070 66 1338 158 01 926 139 2703 59 17 3127 57 1177 161 62 1062 136 2637 66 18 3170 1013 164 13 63 1194 132 2564 73 5 Af\ 166 127 79 19 3210 847 64 1321 2485 31 166 122 86 20 + 3247 - 68L - 2 65 - 1443 + 2399 21 3270 + 23 513 +168 66 1560 -117 2307 - 92 10 22 3284 14 345 168 67 1672 112 2209 98 23 3289 + 5 176 169 68 1778 106 2106 103 24 3285 - 4 - 8 168 15 69 1878 100 1997 109 4 25 3273 12 + 159 167 70 1972 94 1883 114 26 3252 21 324 165 71 2059 87 1765 118 27 3223 29 488 164 72 2140 81 1643 122 14 28 3185 38 650 162 73 2214 74 1516 127 29 3139 46 809 159 74 2280 66 1387 129 54 156 60 132 30 + 3085 + 905 15 75 - 2340 + 1254 4 31 3022 - 63 1118 +153 76 2392 - 52 1119 -135 32 2952 70 1266 148 77 2437 45 982 137 33 2875 77 1411 145 + 2 78 2474 37 843 139 18 34 2791 1551 140 79 2503 29 702 141 35 2700 1680 135 80 2525 22 561 141 36 2602 98 1815 129 13 81 2539 14 418 143 + 2 37 2497 105 1939 124 82 2545 - 6 276 142 38 2387 110 2057 118 83 2543 + 2 + 134 142 39 2271 116 2109 112 3 84 2534 9 7 141 20 122 105 17 140 40 + 2149 + 2274 85 - 2517 - 147 41 2023 126 2373 + 99 86 2493 + 24 285 -138 42 1891 131 2404 91 - 10 87 2461 32 422 137 43 1756 135 2548 84 88 2422 39 556 134 44 1617 139 2625 77 89 2376 46 688 132 45 + 1474 -143 + 2694 + 69 + 4 90 - 2323 + 53 - 816 -128 + 20 34 TABLE IV. Continued. PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. ARGUMENT IV. Arg. f Diff. "' Diff. * Diff. Arg. P Diff. >/ Diff. c' Diff. O O 90 - 2323 - 816 + 20 135 + 2122 394 3 91 2263 + 60 941 -125 136 2143 + 21 265 +129 66 121 13 131 go 2197 1062 137 2156 '34 73 117 + 6 131 93 2124 1179 - i 138 2102 3 - 7 94 2045 79 1292 113 139 2161 - 1 + J29 133 84 107 Q 131 95 1961 1399 140 2152 260 1 103 16 131 96 1870 1502 19 141 2136 391 97 1775 95 1599 97 142 2112 24 521 130 100 91 31 129 98 1075 1690 143 2081 650 105 85 38 127 99 1570 1775 2 144 2043 777 8 110 79 45 125 100 - 1460 - 1854 145 + 1998 + 902 101 1347 +113 1927 - 73 146 1946 - 52 1024 +122 117 66 59 119 102 1230 1993 17 147 1887 1143 120 59 66 116 103 1110 2052 148 1821 1259 123 52 72 113 104 987 2104 149 1749 1372 125 45 78 100 105 862 2149 4 150 1671 1481 ivy 8 106 735 127 2187 38 151 1586 ai 1585 104 107 606 129 2218 31 152 1496 90 1684 99 108 476 130 2241 23 13 153 1400 96 1779 95 + 2 109 345 131 2257 16 154 1298 103 1868 89 131 8 106 84 110 - 214 - 2265 155 + 1192 - 1952 111 - 82 +132 2266 - 1 4 156 1081 -111 2030 + 78 6 112 + 49 131 2260 + 6 157 965 116 2102 72 113 179 130 2246 14 158 846 119 2167 65 114 308 129 2224 22 9 159 722 124 2226 59 3 115 435 127 2196 28 160 595 127 2278 52 116 561 126 2160 36 161 466 129 2323 45 117 684 123 2117 43 5 162 334 132 2361 38 - 3 118 604 120 2068 49 163 199 135 2392 31 119 922 118 2011 57 164 + 62 137 2415 23 114 63 137 16 120 + 1036 - 1948 + 4 165 - 75 + 2431 4 121 1146 +110 1879 + 69 166 214 -139 2439 + 8 122 1252 106 1804 75 167 354 140 2439 123 1353 101 1722 82 4 168 494 140 2432 - 7 + 1 124 1450 97 1635 87 169 633 139 2417 15 125 1542 92 1543 92 170 772 139 2395 22 126 1628 86 1445 98 171 910 138 2365 30 5 127 1708 80 1343 102 172 1047 137 2327 38 128 1783 75 1236 107 173 1182 135 2281 46 129 1851 68 1126 110 4 174 1314 132 2228 53 6 62 115 130 60 130 + 1913 - 1011 75 - 1444 + 2168 131 1969 + 56 893 +118 76 1571 -127 2101 - 67 + 4 132 2018 49 772 121 - 4 77 1694 123 2026 75 133 2060 42 648 124 78 1814 120 1945 81 134 2095 35 522 126 79 1929 115 1857 88 135 + 2122 + 27 - 394 +128 - 3 180 - 2040 -111 + 1762 - 95 + 10 35 TABLE IN Continued. PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. ARGUMENT IV. Arg. P Diff. r/' Diff. e Diff. Arg. P Diff. r/' Diff. ' Diff. O o 180 - 2040 + 1762 + 10 225 + 88 - 3483 - 6 181 2146 -106 1661 -101 226 260 +172 3491 - 8 182 2247 101 1555 106 227 433 173 3490 + 1 95 113 173 10 183 2342 1442 + 4 228 606 3480 + 3 89 1 18 173 18 184 2431 1324 229 779 3462 185 2514 83 1202 122 230 951 172 3435 27 7 186 2591 77 1074 126 231 1122 171 3399 36 70 132 170 44 187 2661 942 14 232 1292 3355 63 136 167 53 188 2724 806 233 1459 3302 57 141 165 62 189 2781 665 234 1624 3240 - 4 48 143 3 162 70 190 - 2829 + 522 235 + 1786 - 3170 191 2870 - 41 376 -146 236 1944 +158 3092 + 78 7 34 149 155 86 192 2904 227 17 237 2099 8006 26 151 151 94 193 2930 + 76 238 2250 9919 194 2947 17 - 77 153 239 2395 145 2811 101 195 2957 10 231 154 + 2 240 2536 141 2702 109 11 196 2959 - 2 387 156 241 2672 136 2586 116 155 129 123 197 2952 542 242 2801 2463 14 156 124 130 198 2938 698 19 243 2925 2333 6 23 155 117 136 199 2915 853 244 3042 2197 32 155 111 142 200 - 2883 - 1008 245 + 3153 - 2055 201 2844 + 39 1161 -153 246 3256 +103 1907 +148 17 202 2796 48 1313 152 247 3352 96 1754 153 203 2741 55 1463 150 248 3440 88 1596 158 204 2678 63 1610 147 19 249 3521 81 1434 162 6 72 144 72 167 205 2606 1754 250 3593 1267 79 141 64 170 206 2527 1895 251 3657 1097 86 138 56 174 207 2441 9033 - 2 252 3713 923 23 94 133 47 176 208 2347 2166 253 3760 747 209 2247 100 2294 128 254 3798 38 568 179 108 124 29 181 4 210 - 2139 - 2418 17 255 + 3827 - 387 211 2025 + 114 2537 -119 256 3847 + 20 204 +183 212 1904 121 2650 113 257 3858 11 - 20 184 213 1778 126 2757 107 3 258 3860 + 2 + 164 184 27 214 1645 133 2858 101 259 3853 - 7 348 184 215 1508 137 2952 94 260 3836 17 532 184 216 1365 143 3040 88 14 261 3810 26 716 184 2 217 1217 148 3120 80 262 3775 35 898 182 818 1065 152 3193 73 263 3731 44 1078 180 219 909 156 3259 66 264 3678 53 1257 179 29 159 58 5 62 176 220 - 750 - 3317 265 + 3616 + 1433 221 587 + 163 3367 - 50 266 3545 71 1606 +173 - 1 222 421 166 3408 41 + 9 267 3466 79 1775 169 223 253 168 3442 34 268 3378 88 1941 166 224 84 169 3467 25 269 3282 96 2102 161 225 + 88 +172 - 3483 - 16 - 6 270 + 3178 -104 + 2259 +157 - 30 36 TABLE IV. Continued. PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. ARGUMENT IV. Arg. f Diff. V Diff. * Diff. Arg. ' Diff. ' Diff. ' Diff. 270 271 272 273 + 3178 3066 2947 2821 -112 119 126 + 2259 2411 2557 2697 +152 146 140 - 30 + 2 O 315 316 317 318 - 3656 3709 3752 3787 - 53 43 35 + 1254 1074 892 708 -180 183 184 + 10 + 5 274 2687 134 2831 134 319 3812 a, r . 522 186 275 2547 140 2958 127 320 3827 15 336 186 276 2401 146 3078 120 28 321 3833 6 + 149 187 3 277 2249 152 3191 113 322 3830 + 3 - 37 186 278 2091 158 3297 106 323 3817 13 223 186 185 279 1929 162 3395 98 4 324 3795 408 13 168 90 I 31 184 280 281 + 1761 1589 -172 + 3485 3566 + 81 325 326 - 3764 3723 + 41 - 592 773 -181 17Q + 1 282 1413 176 3640 74 24 327 3673 50 952 j /y 1 7fi 283 1234 179 3704 64 328 3615 58 1128 1 <0 182 56 68 173 284 1052 3760 329 3547 1301 185 ' 46 76 169 285 867 3806 5 330 3471 1470 14 286 680 187 3844 38 331 3387 84 1635 165 189 28 91 160 287 491 3872 332 3894 1795 288 301 190 3891 19 19 333 3194 100 1950 155 - 1 289 + 110 191 3901 10 334 3086 108 2100 150 191 + 1 115 144 290 - 81 + 3902 6 335 - 2971 - -44 291 272 -191 3893 - 9 336 2849 +122 2382 -138 13 190 19 131 132 292 462 3874 337 2719 2514 189 27 135 124 293 651 3847 338 2584 2648 187 37 141 118 294 838 3810 13 339 2443 2756 2 185 46 147 110 295 1023 3764 340 8396 2866 183 55 153 103 296 1206 3709 341 2143 2969 180 64 157 95 297 1386 3645 6 342 1986 3064 11 176 72 161 87 298 1562 3573 343 1825 3J51 172 81 166 77 299 1734 3492 344 1659 3228 168 90 169 70 300 - 1902 + 3402 7 345 - 1490 - 3298 3 301 2066 -164 3304 - 98 346 1318 + 172 3360 - 62 158 105 174 52 302 2224 3199 347 1144 3412 152 114 177 43 303 2376 3085 6 348 967 3455 8 147 120 179 35 304 2523 2965 349 788 3490 141 128 180 25 305 2664 2837 350 608 SKIS 4 134 134 181 17 306 2798 2703 1 351 427 3532 127 141 181 307 2925 2562 352 246 3539 119 146 180 + 2 308 3044 2416 353 - 66 3537 309 3156 112 2264 152 6 354 + 115 181 3527 10 + 4 105 158 179 20 310 - 3261 + 2106 355 + 294 - 3507 311 3357 - 96 1944 -162 866 471 +177 3478 + 29 - 5 312 3445 88 1777 167 + 5 357 047 176 3440 38 313 3524 79 1606 171 358 820 173 3394 46 71 174 170 55 314 3595 1432 359 990 3339 315 - 3656 - 61 + 1254 -178 + 5 360 + 1157 +167 + 64 1 37 TABLE IV. Continued. PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. ARGUMENT V. Arg. f Diff. < Diff. V Diff. Arg. i Diir. Diff. C' Did. + 647 1 5t 15 + 42 45 - 751 - 1519 - 2 32 10 25 f 14 1 615 1575 46 779 1505 33 9 24 13 2 582 1584 47 803 1492 33 g 24 15 3 549 1592 + 2 48 827 1477 + 45 33 9 23 15 4 516 1601 49 850 1462 33 7 24 15 5 483 1608 50 874 1447 34 g 22 tfi 6 449 1616 41 51 896 1431 3 33 7 23 1 7 7 416 1623 52 919 1414 34 6 22 17 8 382 1629 53 941 1397 33 21 17 9 349 1635 2 54 963 1380 42 34 6 21 18 10 + 315 - 1641 55 - 983 - 1362 11 281 - 34 1646 5 56 1004 - 21 1343 + 19 33 4 20 19 12 ''IS 1650 46 57 1034 1324 3 34 5 90 20 13 214 1655 58 1044 1304 33 3 Ifl 20 14 181 1658 59 1063 1284 15 147 34 1662 4 1 (iO L089 19 1263 21 39 33 2 19 21 16 114 1664 61 1101 1249 33 3 18 21 17 8L 1667 69 111!) 1221 34 2 !R 22 18 47 1669 47 63 1137 1199 19 + 14 33 1670 1 64 1,54 1 17(1 23 5 33 - 1 17 23 20 - 19 - 1671 1 65 + 1171 - 1153 21 51 - 33 1671 66 1188 - 17 1130 + 23 34 22 84 33 1671 67 1204 16 1106 24 32 _j- | Q 1 23 116 1670 68 1220 1082 A-t 24 149 33 1669 1 48 69 1235 15 1057 25 5 25 181 32 1667 2 70 1250 IS 1032 25 26 212 31 1665 2 71 1265 II 1007 25 27 244 32 1662 3 + 1 72 1280 15 981 26 99 28 275 31 1659 3 73 1294 14 955 26 29 306 31 1655 4 74 1307 13 928 27 30 5 14 27 6 30 - 336 - 1650 49 75 - 1321 - 901 31 367 - 31 1646 + 4 76 1334 - 1:1 874 + 27 32 397 30 1640 6 77 1346 12 847 27 33 426 29 1634 6 " - 1 78 1359 13 819 28 23 34 456 30 1627 79 1371 12 791 28 35 485 29 1620 7 80 1382 11 763 28 36 513 28 1613 7 48 81 1393 11 735 28 7 37 542 27 1605 8 82 1404 11 706 29 38 569 27 1596 9 83 1415 11 677 29 39 597 28 1586 10 84 1425 10 648 29 16 27 10 1 10 29 40 - 624 - 1576 85 - 1435 - (il!) 41 651 27 OR 1566 + 10 86 1445 - 10 590 + 29 - 6 42 677 1555 11 + 47 87 1454 9 560 30 43 703 26 1543 12 88 1463 9 531 29 44 7-J!) 26 1531 12 89 1472 9 501 30 45 - 754 25 - 1519 + 12 - 2 90 - 1481 - 9 471 + 30 + 10 38 r TABLE IV. Continued. PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. ARGUMENT V. Arg. ? Diff. j Diff. f Diff. Arg. f Diff. r/ Diff. P Diff. 90 - 1481 - 471 + 10 135 - 1490 + 738 _ 91 1489 - 8 441 + 30 136 1480 + 10 758 + 20 g 30 10 21 92 1497 411 137 1470 77!) 7 29 11 20 93 1504 382 - 6 138 1459 799 - 24 7 30 11 19 94 1511 352 139 1448 818 7 30 11 20 95 1518 322 140 1437 838 5 30 ]2 19 96 1524 292 + 4 141 1425 857 . 7 30 13 18 97 1531 262 142 1412 875 5 30 13 18 98 1536 232 143 1399 893 R 30 14 18 99 1542 202 6 144 1385 911 25 5 30 14 18 100 - 1547 172 145 - 1371 + 929 101 1552 5 142 + 30 146 1356 + 15 947 + 18 102 1556 4 113 29 - 2 147 1341 15 964 17 5 30 * 15 ifi 103 1561 83 148 1326 980 10 3 29 16 104 1564 54 149 1310 997 i / 105 1568 4 - 25 29 6 150 1293 17 1013 16 3 29 17 Ifi 106 1571 + 4 151 1276 1029 ID 25 107 1574 3 33 29 152 1258 18 1045 16 108 1577 3 62 29 8 153 1240 18 1060 15 109 1579 Q 91 29 154 1222 18 1076 16 1 28 19 14 110 - 1580 + 119 5 155 - 1203 + 1090 111 1582 - 2 147 + 28 156 1183 -f 20 1105 + 15 25 119 1583' 1 175 28 157 1163 30 1120 15 Q 28 OQ 113 1583 203 158 1143 1134 14 114 1584 1 230 27 13 159 1122 21 1148 14 115 1583 + 1 257 27 ICO 1101 21 1161 13 116 1583 284 27 161 1079 22 1175 14 117 1582 1 311 27 4 162 1057 22 1188 13 25 118 1581 1 337 26 163 1035 22 1201 13 119 1579 2 363 26 164 1012 23 1213 12 2 26 24 13 120 - 1577 + 389 17 165 - 988 + 1226 121 1574 + 3 414 + 25 166 965 + 23 1238 + 12 122 1571 3 440 26 167 941 24 1251 13 123 1567 4 465 25 3 168 916 25 1262 11 25 124 1563 4 489 24 169 892 24 1274 12 125 1559 4 513 24 170 867 25 1286 12 126 1554 5 537 24 20 171 841 26 1297 11 127 1549 5 561 24 172 815 26 1308 11 128 1543 6 584 23 173 790 25 1319 11 129 1537 6 607 23 174 763 27 1329 10 25 7 23 2 26 11 130 - 1530 + 630 175 - 737 + 1340 o 131 1523 + 7 652 + 22 176 710 + 27 1350 + 10 132 1515 8 674 22 - 22 177 683 27 1360 10 133 1507 8 696 22 178 656 27 1370 10 134 1499 8 717 21 179 629 27 1380 10 135 - 1490 + 9 + 738 + 21 - 2 180 - 601 + 28 + 1389 + 9 - 25 39 TABLE IV. Continued. PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. ARGUMENT V. Arg. * Diff. ' Diff. C' Diff. Arg. * Diff. n< Diff. C' Diff. O 180 - 001 + 1389 - 25 225 + 021 + 1509 - 2 + 28 + 10 + 23 8 181 573 1399 226 644 1501 28 9 33 7 182 545 1408 227 067 1494 28 g 33 g 183 517 1417 - 1 228 690 1486 - 39 184 489 28 1425 8 229 712 33 1477 9 28 9 33 10 185 401 1434 230 734 1467 29 g 22 10 186 432 1442 26 231 756 1457 - 1 28 g 22 10 187 404 1450 232 778 1447 29 g 21 11 188 375 1458 233 799 1436 189 347 28 1465 1 234 820 21 1424 12 40 39 7 21 12 190 - 318 + 1472 235 + 841 + 1412 -t- 29 f 7 + 20 13 191 289 1479 236 861 1399 29 7 21 13 192 200 1486 27 237 882 1386 28 7 20 j4 193 232 1493 238 902 1372 QQ g 20 15 194 203 i 1499 239 922 1357 oo g 19 15 195 174 1505 2 240 941 1342 40 38 5 20 16 196 140 1510 241 961 1326 197 117 29 1516 6 242 980 19 1310 16 28 5 19 17 198 89 1521 29 243 999 1293 29 4 19 18 199 CO 1525 244 1018 1275 + 1 28 5 18 18 200 '- 32 + 1530 2 245 + 1036 + 1257 201 4 + 28 Io34 + 4 240 1054 + 18 1238 - 19 39 29 3 18 19 202 + 25 1537 247 1072 1219 28 4 18 19 203 53 1541 248 1090 1200 27 3 18 21 204 80 1544 31 249 1108 1179 1 205 108 28 1547 3 250 1125 17 1158 21 28 2 18 21 206 130 1549 251 1143 1137 27 2 17 oo 207 103 1551 2 252 1160 1115 IH 38 208 191 28 1552 1 253 1176 16 1093 23 209 218 27 1553 1 254 1193 17 1071 22 26 + 1 16 24 210 + 244 + 1544 33 255 + 1209 + 1047 3 211 271 + 27 1554 256 1226 + 17 1023 - 24 212 298 27 1554 257 1241 15 998 25 213 324 26 1554 2 258 1257 16 974 24 35 214 350 26 1553 - 1 259 1273 16 948 26 215 370 26 1551 3 260 1288 15 923 25 210 401 96 1549 2 35 261 1303 15 897 26 4 217 427 26 1547 2 262 1318 15 870 27 218 452 25 1544 3 263 1333 15 843 27 219 477 25 1540 4 2 264 1347 14 810 27 31 24 4 14 28 220 + 501 + 1536 265 + 1361 + 788 221 520 + 25 1532 - 4 266 1375 + 14 760 - 28 + 4 222 550 24 1527 5 - 37 267 1389 14 732 28 223 574 24 1521 6 268 1403 14 703 39 224 598 24 1515 6 269 1410 13 074 29 225 + 621 + 23 -f 1509 - 6 2 270 + 1429 + 13 + 645 - 29 -"27 40 TABLE I V . Continued. PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. ARGUMENT V. Arg. S Diff. ,< Diff. ff Diff. Arg. f Diff. "' Diff. ? Diff O O 270 + 1429 + 645 - 27 315 + 1628 - 726 + 5 271 1442 + 13 615 30 316 1620 ~~ 8 752 ~ 272 1455 13 585 30 317 1G11 9 779 27 12 30 9 26 273 1467 555 + 5 318 1602 805 + 18 12 30 10 26 274 1479 525 319 1592 831 275 1491 12 494 31 320 1581 11 856 23 12 30 1 \ 25 276 1503 464 22 321 1570 881 4 277 1514 11 433 31 322 1558 12 906 25 278 1525 11 402 31 323 1545 13 930 24 10 32 14 24 279 1535 370 6 324 1531 954 IS 11 31 14 24 280 + 1546 + 339 325 + 1517 - 978 + 10 32 15 23 281 1556 307 326 1502 1001 5 9 31 15 23 282 1565 276 16 327 1487 1024 10 32 16 23 283 1575 244 328 1471 1047 284 1584 9 212 32 329 1454 17 1069 22 g 31 18 22 2S5 1592 181 5 330 1436 1091 27 9 32 18 21 286 1601 149 331 1418 1112 g 32 19 21 287 1609 117 332 1399 1133 7 32 20 21 288 1616 85 11 333 1379 1154 3 7 32 20 20 289 1623 5:5 334 1359 1174 7 32 2L 20 290 + 1630 + 21 6 335 + 1338 - 1194 291 1636 + 6 - 10 - 31 336 1317 - 21 1214 20 30 292 1642 6 42 32 337 1295 22 1233 19 5 31 23 1 293 1647 73 338 1272 1252 iy 4 294 1652 5 105 32 - 5 339 1249 33 1270 18 295 1657 5 137 32 340 1225 24 1288 18 296 1661 4 168 3) 341 1201 24 1306 18 297 1664 3 199 31 6 342 1176 25 1323 17 34 298 1667 3 230 31 343 1150 26 1340 17 299 1669 2 261 31 344 1124 26 135G 16 2 31 27 16 300 + 1671 - 292 + 1 345 + 1097 + 1372 3 301" 1672 + 1 322 30 346 1070 27 1388 - 16 302 1673 + 1 353 31 347 1042 28 1403 15 303 1G73 383. 30 6 348 1014 28 1418 15 37 304 1673 413 30 349 S86 28 1433 15 305 1672 1 443 30 350 957 29 1447 14 306 1670 2 472 29 i 351 927 30 1460 13 3 307 1668 2 501 29 352 897 30 1474 14 308 lees 3 530 29 353 867 30 1487 13 309 1662 3 559 29 6 354 837 30 1499 12 40 4 29 31 12 310 + 1658 - 588 355 + 806 - 1511 3H 1653 5 616 - 28 356 775 - 31 1523 - 12 + 2 312 1648 5 644 28 -f 13 357 743 32 1534 11 313 1642 6 671 27 358 711 32 1545 11 314 1635 699 28 359 679 32 1555 10 315 + n ;-.'-; 7 - 726 27 + 5 360 + 647 - 32 - 15(15 - 10 + 42 41 TABLE IV .Continued. PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. ARGUMENT VI. Arg. ? Diff. ' l)iff. ff Diff. Arg. 9 Diff. n< Uiff. C' Diff. - 308 + 364 + 9 180 + 248 - 511 - 9 5 331 23 334 - 30 185 298 + 50 489 + 22 10 352 21 305 29 8 190 346 48 463 26 8 15 370 18 275 30 195 392 46 431 31 20 386 16 245 30 6 200 435 43 395 36 6 25 400 14 214 31 205 474 39 354 41 30 412 12 184 30 5 210 509 35 308 46 5 35 422 10 153 31 215 540 31 259 49 40 431 9 122 31 3 220 565 25 206 53 3 45 438 7 91 31 225 585 20 151 56 5 31 14 58 50 - 443 + 60 + 1 230 + 599 - 93 - 1 55 447 4 + 28 - 32 235 606 + 7 - 33 + 60 60 449 2 5 33 - 1 240 607 + 1 + 26 59 + 1 C5 450 - 1 38 33 245 601 - 6 86 60 70 449 + 1 71 33 3 250 589 12 145 59 3 75 445 4 105 34 255 570 19 202 57 80 439 6 139 34 5 260 546 24 257 55 5 85 431 8 174 35 265 515 31 308 51 90 420 11 208 34 6 270 479 36 355 47 6 95 400 14 243 35 275 439 40 398 43 17 35 44 38 . 100 - 389 - 278 - 8 280 + 395 + 436 + 8 105 369 + 20 311 - 33 285 347 - 48 468 + 32 110 346 23 344 33 9 290 297 50 495 27 9 115 320 26 376 32 295 240 51 515 20 120 291 29 406 30 10 300 193 53 530 15 10 125 258 33 434 28 305 140 53 539 9 130 222 36 459 25 11 310 88 52 543 + 4 11 135 184 38 482 23 315 + 3G 52 541 - 2 140 142 42 502 20 11 320 - 13 49 535 6 11 145 98 44 518 16 325 GO 47 524 11 46 13 45 15 150 - 52 - 531 -11 330 - 105 + 509 + 11 155 4 + 48 539 - 8 335 141 - 42 490 - 19 1GO + 45 49 543 - 4 11 340 185 38 469 21 11 165 95 50 542 + 1 345 220 35 445 24 170 147 52 537 5 10 350 253 33 419 26 10 175 198 51 526 11 355 282 29 292 27 180 + 248 + GO - 511 + 15 - 9 360 - 308 - 26 + 3G4 - 28 + 9 6 42 TABLE IV . Continued. PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. ARGUMENT VII. Arg. f Diff. ,' Diff. f Diff. Arg. a s Uiff. V Diff. C' Diff. - 196 - 464 + 3 180 + 194 + 404 - 3 5 155 + 41 480 - 16 185 153 - 41 479 + 15 11 43 12 10 112 491 3 190 110 491 3 43 8 43 7 15 69 499 195 67 498 20 - 25 44 504 - 5 3 200 + 23 44 502 + 4 3 45 44 25 + 20 504 205 - 21 502 44 + 4 44 _ 3 30 64 500 3 210 65 499 3 43 7 43 3 35 107 493 215 108 491 43 11 42 11 40 150 482 2 220 150 480 o 43 15 42 15 45 192 407 225 192 465 40 19 40 . 18 50 + 232 - 448 + 2 230 - 232 + 447 _ O 55 270 + 38 426 + 22 235 270 - 38 425 - 22 GO 307 37 401 25 2 240 306 36 400 25 2 65 341 34 373 28 245 340 34 372 28 70 372 31 342 31 2 250 371 31 341 31 2 75 401 29 309 33 255 399 28 308 33 80 427 36 273 36 1 260 . 425 26 272 36 1 85 449 22 234 39 265 447 22 934 38 90 468 19 194 40 + 1 270 466 19 194 40 - 1 95 483 15 153 41 275 481 15 153 41 11 43 11 42 100 + 494 - 110 280 - 492 + 111 105 502 + 8 67 + 43 285 500 - 8 68 - 43 110 506 + 4 - 23 44 290 505 - 5 + 24 44 115 506 + 21 44 295 505 - 19 43 120 502 - 4 65 44 - 1 300 501 + 4 63 44 + 1 196 495 7 108 43 305 494 7 106 43 130 483 12 150 42 1 310 483 11 149 43 1 135 468 15 192 42 315 468 15 190 41 140 449 19 232 40 1 320 450 18 230 40 1 145 427 22 270 38 325 428 22 268 38 35 36 35 36 150 + 402 + 306 - 2 330 - 403 - 304 + 2 155 374 - 38 340 + 34 335 375 + 28 338 - 34 160 342 32 371 31 2 340 344 31 369 31 2 165 308 34 399 38 345 310 34 398 29 170 272 36 424 35 2 350 274 36 423 25 2 175 234 38 446 22 355 2:!G 38 446 23 180 + 194 - 40 + 464 + 18 - 3 360 - 196 + 40 - 464 - 18 + 3 - 43 TABLE IV. Continued. PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. ARGUMENT VIII. Arg. f Diff. Diff. C' Diff. Arg. e Diff. t- Diff. '_ Diff. + 24 + 122 + 8 180 - 17 - 143 - 8 5 30 + 6 , 120 - 2 185 27 10 143 + 1 10 37 ^ 119 1 8 190 37 10 142 1 8 15 44 7! 119 195 48 11 141 1 20 52 8 118 1 7 200 CO 12 139 2 7 25 61 9 117 1 205 73 13 136 3 30 70 9 115 2 6 210 80 13 132 G 35 81 11 112 3 215 99 13 126 6 40 92 U 3 108 4 6 220 112 13 119 7 6 45 104 12 . 103 5 225 125 13 110 9 11 7 13 11 50 + 115 + 9G + 5 230 - 138 - 99 - 5 55 127 + 12 86 - 10 235 149 11 86 + 13 60 138 11 75 11 3 240 ICO 11 71 15 3 65 147 9 63 12 245 168 8 54 17 70 155 s] 49 14 2 '250 175 7 37 17 2 I 16 4 19 75 163 33 255 179 - 18 80 166 4 + 16 17 + 1 2GO 180 1 + 1 19 - 1 85 168 + 2 - 1 17 205 178 + 2 21 20 19 90 168 19 18 1 270 175 3 40 19 + 1 95 165 3 36 17 275 168 7 59 5 17 8 17 100 + 100 - 53 - 2 280 - 1GO + 76 -f 2 105 153 - 7 G9 - 16 285 149 + 11 91 + 15 110 144 9 84 15 3 290 136 13 105 14 3 115 134 10 97 13 295 122 14 116 11 120 123 11 108 11 5 300 107 15 125 9 5 125 110 13 117 9 305 92 15 131 6 13 g 15 5 130' 97 125 G 310 77 136 6 135 84 13 132 7 315 63 14 138 2 140 71 13 136 4 G 320 49 14 139 + 1 6 12 3 13 145 59 139 325 36 138 12 3 12 1 150 + 47 - 142 7 330 - 24 + 137 + 7 12 + 10 3 155 35 143 335 14 134 1(10 24 11 143 8 340 - 5 9 131 3 8 165 14 10 144 - 1 345 + 3 8 128 3 1 1 g Q 170 + 3 144 8 350 11 126 8 175 _ 7 10 143 + 1 355 17 6 124 2 o + 7 2 180 - 17 - 143 - 8 360 + 24 + 122 + 8 44 TABLE IV .Continued. PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. ARGUMENT IX. Arg. P Diff. c Difl P Diff. Arg. r" Diff. ,' Diff. f Diff. + 183 + 18 + 1 180 - 157 + 18 + 1 5 180 + 3 34 + 16 185 158 - l + 7 - 11 4 16 o 12 10 176 50 3 190 158 - 5 16 -J- 1 j j 15 170 66 195 157 16 7 15 2 12 20 163 81 5 200 155 28 - 1 25 154 9 95 14 205 152 3 39 11 30 144 10 107 12 7 210 148 4 51 12 1) 11 19 5 35 133 119 215 143 G2 40 121 12 129 10 8 220 137 6 73 11 3 45 108 13 138 9 225 130 7 84 11 13 8 8 11 50 + 95 + 146 + 9 230 - 122 - 95 - 4 55 81 - 14 153 + 7 235 113 + 9 106 - 11 60 66 15 158 5 10 240 103 10 116 10 G 14 4 12 g 65 52 162 245 91 125 15 3 12 70 37 165 11 250 79 133 7 75 22 15 166 + 1 255 66 13 141 8 14 g 15 80 + 8 166 11 260 51 147 7 14 1 15 C 85 - 6 165 265 36 152 90 20 14 163 2 10 270 20 16 156 4 8 95 33 13 160 3 275 4 16 158 2 13 4 16 - 1 100 - 46 + 156 + 10 280 + 12 - 159 - 8 105 58 - 12 152 - 4 285 29 + 17 159 110 70 12 146 6 9 290 46 17 156 + 3 8 115 81 140 6 295 63 17 152 , 4 120 91 10 133 7 8 300 80 17 147 5 8 10 g Ifi 125 101 125 305 96 10 189 130 110 9 117 8 7 310 111 15 130 9 7 135 118 8 109 8 315 125 14 120 10 140 125 7 100 9 5 320 137 12 108 12 G 145 132 7 90 10 325 149 12 95 13 6 9 10 14 150 - 138 + 81 + 4 330 + 159 - 81 - 5 155 143 - 5 71 - 10 335 167 + 8 65 + 16 160 147 4 61 10 3 340 174 7 49 16 3 165 151 4 50 11 345 179 5 33 16 170 154 3 40 10 2 350 182 3 - 16 17 - 1 175 156 2 29 11 355 183 + 1 + 1 17 180 - 157 - 1 + 18 -11 + 1 360 + 183 + 18 + 17 + 1 . 45 TABLE IV .Continued. PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. ARGUMENT X. ARGUMENT XI. Arg. f Diff. * Diff. Arg. "' Diff. Diff. Arg. f Diff. >/ Diff. Arg. f Diff. /' Diff. o O O o 5 -38 43 - 5 +60 57 - 3 180 185 +37 42 + 5 -63 59 + 4 5 -27 -13 +14 -94 95 + l 180 185 +27 30 + 3 + 2 - 2 4 4 5 4 14 l 2 3 10 47 53 190 47 25 10 + 1 94 190 32 - 3 4 5 4 13 4 2 3 15 52 49 195 52 51 15 14 90 195 34 6 4 5 4 5 12 2 4 20 56 44 200 56 46 20 26 84 200 36 10 3 5 4 5 10 7 2 5 25 59 39 205 60 41 25 36 77 205 38 15 30 62 3 34 5 210 64 4 36 5 30 44 68 9 210 40 20 3 g 3 g g 10 4. i I) 35 65 28 215 67 30 35 50 58 215 41 25 2 5 2 g 4 10 g 40 67 Q 23 g 220 69 Q 24 g 40 54 48 220 41 o 31 g 45 69 17 225 71 18 45 55 37 225 41 37 1 6 1 7 10 - 1 7 50 -70 +11 230 +72 -11 50 +55 +27 230 +40 -44 g + 1 + 6 2 9 _ 3 7 55 71 + 5 235 73 - 5 55 53 18 235 37 51 o g o g 3 g 3 g 60 71 - I 240 73 + 1 60 50 10 240 34 59 65 70 + 1 7 6 245 73 8 7 65 45 5 + 4 6 245 29 5 66 7 70 69 1 13 6 250 72 - 1 14 6 70 40 5 - 2 6 250 22 7 72 6 1 g 2 g g 4 g g 75 68 19 255 70 20 75 34 6 255 14 78 2 g 2 g g 2 9 4 80 66 25 260 . 68 26 80 28 8 260 + 5 82 2 5 3 g 1 10 3 85 64 30 265 65 32 85 22 9 265 - 5 85 3 3 g g 11 2 90 61 30 270 62 38 90 16 10 270 16 87 95 58 3 41 5 275 59 3 43 5 95 12 4 9 + 1 275 28 12 86 + 1 4 5 4 5 4 2 13 2 100 -54 -46 280 +55 +48 100 + 8 - 7 280 -41 -84 105 50 + 4 50 - 4 285 50 - 5 53 + 5 105 5 - 3 5 + 2 285 53 -12 79 + 5 4 5 5 4 2 3 12 7 110 40 55 290 45 57 no 3 _ o 290 65 72 5 3 4 o 3 11 9 115 41 58 295 40 61 115 + 1 295 76 63 5 4 3 o 2 9 12 190 36 62 300 34 64 120 1 3 300 85 51 125 30 6 65 3 305 28 6 66 3 125 2 + 1 5 2 305 92 7 38 13 2 6 2 g 14 130 25 67 310 oo 68 130 3 7 310 98 24 6 2 6 2 2 2 3 15 135 19 69 315 16 70 135 5 9 315 101 - 9 111) 13 6 71 2 320 10 6 71 1 140 7 2 10 + 1 320 102 - 1 + 7 16 145 - 6 7 72 " ' 325 + 4 6 72 + 1 145 9 2 10 325 100 + 2 23 16 6 6 3 5 15 150 +72 330 _ 2 +72 150 +12 +10 330 -95 +38 155 + 6 -f- c 72 335 9 - 7 71 - 1 155 14 + 2 10 335 88 + 7 52 +14 4. i g 1 3 9 13 160 13 71 340 15 70 160 17 9 340 79 65 Q 1 g 2 3 1 11 11 165 19 70 345 21 68 165 20 8 345 68 76 170 25 6 68 2 350 27 6 66 2 170 22 2 6 2 350 55 13 85 9 Q 3 5 3 3 2 14 175 31 65 355 32 63 175 25 4 355 41 91 180 +37 + 6 -63 + 2 360 -38 - 6 +00 - 3 180 +27 + 2 + 2 - 2 360 -27 + 14 +94 + 3 46 TABLE IV. Continued. PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. ARGUMENT XII. ARGUMENT XIII. ARGUMENT XIV. . Arg. f Diff. I 1 Diff. Arg. cl s Diff. n< Diff. Arg. ? Diff. 'I 1 Diff. + 3 + 12 + 13 + 12 + 3 + 23 10 - 4 7 11 - l 10 10 - 3 14 + 2 10 I + 4 23 20 9 5 7 4 20 8 2 16 1 20 10 3 23 30 12 3 + 1 6 30 5 3 16 1 30 14 4 22 - 1 40 13 1 - 5 6 40 + 2 3 17 + 1 40 17 3 20 2 50 . 11 + 2 11 6 50 - 1 3 17 50 19 2 17 3 CO 7 4 15 4 60 4 3 1C - 1 CO 21 2 U 3 70 - 1 6 18 3 70 7 3 15 1 70 23 + 2 10 4 80 + 5 6 18 80 9 2 13 2 80 23 6 4 90 11 6 16 + 2 90 11 2 12 1 90 23 + 2 4 6 J- 4 2 2 - 1 5 100 + 17 - 12 100 - 13 + 10 100 + 22 - 3 110 21 + 4 - 7 5 110 14 - 1 7 - 3 110 20 - 2 T - 4 120 22 + 1 7 120 15 1 5 2 120 18 2 11 4 130 22 + 7 7 130 16 J + 2 3 130 15 3 14 3 140 20 2 14 7 140 J6 2 140 11 4 17 3 150 16 4 20 6 150 16 . 3 3 150 7 4 20 3 160 10 6 24 4 ICO 15 + 1 5 2 ICO + 3 4 22 2 170 + 4 6 27 3 170 14 1 8 3 170 - 1 4 23 - 1 180 - 3 7 28 + 1 180 13 1 10 2 180 5 4 23 190 10 7 27 1 190 11 2 12 2 190 9 4 23 7 3 2 2 4 + 1 200 - 17 + 24 200 - 9 14 200 - 13 - 22 210 22 5 18 6 - 210 6 + 3 15 1 210 16 - 3 20 + 2 220 26 4 12 6 220 4 2 1C 1 220 18 2 18 2 230 28 2 + 4 8 230 - 1 3 17 - 1 230 20 2 15 3 240 28 - 5 9 240 + 2 3 17 240 21 1 12 3 250 25 + 3 13 8 250 5 3 17 250 22 - 1 9 3 260 19 G 19 6 260 8 3 16 + 1 2GO 22 5 4 270 12 7 23 4 270 11 3 14 2 270 21 + 1 - 2 3 280 - 3 9 25 2 280 13 2 12 2 280 20 1 + 2 4 290 + 5 8 24 + 1 290 15 2 9 3 290 18 2 6 4 7 4 2 3 2 3 300 310 + 12 17 + 5 -20 14 + 6 300 310 + 17 18 + 1 - 6 - 3 + 3 300 310 - 16 13 + 3 + 9 13 + 4 320 19 + 2 - 7 7 320 18 3 320 10 3 16 3 330 18 1 7 330 18 + 4 4 330 7 3 19 3 340 15 3 + c 6 340 17 1 7 3 340 - 4 3 21 2 350 10 5 10 4 350 15 2 10 3 350 4 22 1 360 + 3 7 + 12 + 2 SCO + 13 + 12 + 2 360 + 3 + 3 + 23 + 1 47 TABLE I V . Continued. PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. ARGUMENT XV. ARGUMENT XVI. Arg. k' Diff. n 1 Diff. * Diff. Arg. * Did. ."' Uiff. * Diff- - 368 -1498 - 1 + 196 - 347 5 498 -130 1401 + 37 5 225 + 29 328 + 19 10 623 125 1412 49 1 10 253 28 307 21 15 744 121 1352 60 15 279 26 284 23 20 859 115 1283 69 1 20 303 24 259 25 25 908 109 1203 80 25 324 21 231 28 30 1009 101 1114 89 1 30 343 19 202 29 35 1163 94 1017 97 35 359 16 172 30 40 1247 84 912 105 - 1 40 373 14 140 32 45 1322 75 800 112 45 384 11 107 33 65 118 8 34 50 -1387 - 082 50 + 392 - 73 55 1441 - 54 559 +123 55 396 + 4 38 + 35 60 1484 43 431 128 GO 398 + 2 - 4 34 65 1510 32 300 131 05 397 - 1 + 31 35 70 1537 21 107 133 70 393 4 05 34 75 1545 8 - 33 134 75 386 7 99 34 80 1542 + 3 + 101 134 80 376 10 133 34 85 1528 14 235 134 85 363 13 105 32 90 1501 27 3G7 132 + 1 90 347 16 196 31 95 1403 38 490 129 95 328 19 225 29 48 126 21 28 100 -1415 + 022 + 1 100 + 307 + 253 105 1355 + 60 743 +121 105 284 - 23 279 + 26 110 12s>5 70 858 115 1 110 259 25 303 24 115 1205 80 9GG 108 115 231 28 324 21 120 1110 89 1007 101 1 120 202 29 343 19 125 1018 98 1100 93 125 171 31 359 16 130 913 105 1245 85 1 130 139 32 373 14 135 801 112 1319 74 135 106 33 384 11 140 G83 118 1334 65 1 J40 73 33 392" 8 145 559 124 1438 54 145 38 35 396 4 127 43 35 + 2 150 155 - 432 301 +131 +1481 1513 + 32 + 2 150 155 + 3 - 31 - 34 + 398 397 - 1 160 1G7 134 1534 21 2 100 GO 35 393 4 105 - 33 134 1542 + 8 105 100 34 385 8 170 + 102 135 1540 - 2 1 170 133 33 375 10 175 236 134 1525 15 175 105 32 302 13 180 + 308 +132 +1498 27 + 1 180 - 190 - 31 + 347 - 15 From the Arguments > 180 subtract 180, and reverse the sign off, 7 ', f. 48 TABLE IV .Continued. PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. ARGUMENT XVII. ARGUMENT XVIII. Arg. ? Diff. rf Diff. f Diff. Arg. 5 Diff. ' Diff. P Diff. - 41 - 166 + 40 - 105 _ j 5 55 - 14 162 + 4 10 21 - 19 110 - 5 14 Q 20 10 69 15G 20 + 1 112 ~ 1 15 82 13 150 6 30 - 18 19 111 + 1 20 95 13 142 8 40 37 19 10G 5 1 25 107 12 133 9 50 55 18 98 8 30 118 11 123 10 60 71 16 87 11 1 35 129 . 11 113 10 70 85 14 73 14 40 138 9 101 12 80 97 12 57 16 1 Q 12 45 146 89 90 105 40 17 7 13 5 19 50 - 153 - 76 100 - 110 - 21 - 1 55 159 - 6 62 + 14 110 112 - 2 - 1 4- 20 60 164 5 ' 48 14 120 111 + 1 + 18 19 65 168 4 33 15 130 106 5 37 19 70 170 2 19 14 140 98 8 55 18 75 171 1 - 4 15 150 87 11 71 1G 80 170 + 1 + 11 15 160 73 14 85 14 o 85 169 1 26 15 170 57 16 96 11 90 166 3 40 14 180 - 40 + 17 + 105 + 9 + 1 95 1-62 4 55 IS 100 - 157 5 + 69 14 ARGUMENT XIX. 1 flK i f^n + 7 Ofl + 13 lUo 110 loU 142 8 82 95 13 Arg. f Diff. 9* Diff. , Diff. 115 133 107 12 120 124 9 118 11 125 113 11 12 128 10 10 o + 102 + G2 _ 9 130 101 138 10 90 - 12 79 - 17 135 89 i 'i 146 8 20 75 15 93 14 2 140 76 10 14 153 7 30 58 17 104 11 145 62 159 40 40 18 112 8 2 14 5 50 + 20 20 117 5 150 155 - 48 33 + 15 14 + 1G4 168 + 4 60 70 - 1 21 21 20 118 115 - 1 + 3 2 160 19 15 170 + 1 80 41 20 109 G 2 165 - 4 15 171 1 90 60 19 100 9 170 + 11 15 170 ~~ 1 1 17 12 175 26 + 1 1 169 100 - 77 - 88 - 1 180 + 41 10 + 166 3 110 91 - 14 73 + 15 190 i fli 12 KK 18 JUMJ 130 lUo 111 8 DO 37 18 140 116 5 - 17 20 + 1 150 118 2 + 4 21 + 2 20 160 116 24 1 170 111 5 44 20 180 - 102 + 9 + 62 + 18 + 2 From the Arguments > 180 subtract 180, and reverse the sign of f, ?>', f. 49 TABLE IV. Continued. PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. ARGUMENT XX. ARGUMENT XXII. Arg. f Diff. V Diff. f Diff. Arg. s Diff. n Diff. * Diff. o O + 22 - 42 - 26 - J8 10 29 + 7 ' 38 + 4 JO 28 - 2 13 + 5 20 36 7 32 6 20 30 2 8 5 30 41 5 25 7 30 30 - 3 5 40 44 3 18 7 40 30 + 3 6 3 g -(. i 5 50 47 10 50 29 8 _j. i 9 2 5 60 48 - 2 60 27 13 70 48 + 6 8 70 24 3 18 5 80 46 - 2 14 8 80 20 4 22 4 90 42 4 22 8 90 16 4 26 4 4 7 5 2 100 + 38 + 29 100 - 11 + 28 110 32 - 6 35 + 6 110 - 6 + 5 30 + 2 120 25 7 40 5 120 6 31 + 1 130 18 7 44 4 130 + 5 5 31 140 10 8 46 2 140 10 5 30 - 1 g jf. i 5 2 150 + 2 47 150 15 28 160 - 7 9 47 160 19 4 26 2 170 15 8 45 - 2 170 23 4 22 4 _ 3 + 3 4 180 - 22 + 42 180 + 26 + 18 ARGUMENT XXI. ARGUMENT XXIII. Arg. 1 Diff. I 1 Diff. f Diff. Arg. t Diff. ,< Diff. e Diff. O - 13 + I + 4 O - G + 67 10 - 4 + 9 - 11 - 12 10 + 6 + 12 68 + 1 9 13 12 2 20 + 5 24 3 20 18 66 10 11 11 4 30 15 35 30 29 62 9 11 10 40 24 46 + 1 40 39 56 g g g g 50 32 55 50 48 48 60 39 7 63 8 - 1 60 56 8 39 9 Q 5 Q 10 70 45 68 70 62 29 80 50 5 72 4 3 80 66 4 18 11 90 53 3 73 ~ l 90 68 + 2 + 7 11 + 1 + 1 12 100 + 54 - 72 - 5 100 + 68 - 5 110 54 69 + 3 110 66 - 2 17 -12 2 5 4 120 52 64 6 120 62 28 130 49 3 57 7 130 56 6 38 10 140 44 5 48 9 6 140 48 8 47 9 g 10 g 150 38 38 150 39 55 g 12 jl 160 30 26 5 160 28 61 g 12 11 170 22 14 170 17 65 180 + 13 - 9 - 1 + 13 - 4 180 + 6 - 11 - 67 - 2 From the Arguments ^> 180 subtract 180, and reverse the sign of f, i/', f . 7 50 TABLE IV . Concluded. PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. ARGUMENT XXIV. ARGUMENT XXVII. ARGUMENT XXX. Arg. f I 1 f Arg. f ' ? Arg. f ,,' f o + )7 - 20 - 1 o + 1 + 17 - 5 - 6 20 18 24 2 20 7 15 20-7 4 40 17 26 3 40 12 12 40 8 - 1 60 14 25 3 60 15 7 60 8 +2 80 10 20 4 80 17 + 2 80 7 4 100 + 4 13 3 100 16 - 4 100 5 6 120 - 2 - 5 2 120 14 9 120-3 8 140 8 + 4 - 1 140 10 14 140 8 160 13 13 160 + 5 16 160+3 7 180 - 17 + 20 + 1 180 - 1 + 17 180 +5 + (i ARGUMENT XXV. ARGUMENT XXVIII. Arg. f I 1 f Arg. e '/ P + 5 + 5 + 1 o - 4 - 10 20 11 8 1 20 11 40 15 9 1 40 + 3 10 60 17 9 + 1 60 7 8 80 17 8 80 9 6 100 15 6 100 11 - 2 120 12 4 - 1 120 11 + 2 140 7 + 1 1 140 9 5 160 4 1 - 3 1 160 7 8 180 - 5 - 5 - 1 180 + 4 + 10 ARGUMENT XXVI. ARGUMENT XXIX. Arg. e I 1 p Arg. e I 1 f o - i - 23 o - 5 + 8 20 9 21 20 7 6 40 J5 17 40 9 + 3 60 20 11 60 9 80 23 - 3 80 8 - 3 100 22 + 5 100 7 6 120 19 12 120 4 8 . 140 14 18 140 - 1 9 160 - 7 22 160 + 2 9 180 + 1 f 23 180 + 5 - 8 From the Arguments > 180 subtract 180, and reverse the sign off', >/, f. 51 TABLE V. LOGARITHMS FOR REFERRING THE PERTURBATIONS TO THE EQUATOR. Mean Equinox of the beginning of the Year. Year. COS (Zi Z) COS (I/! Z) cos (ZL z) cos (xi y) cos (y, y) cos (z, y) COS (Xi Z) cos (y l z) COS (Zi Z) 1850 9.862239 9.833908 8.820053 9.793784W 9.844007 9.549470ft 9.459233 9.336366 9.969772 1851 9.862338 9.833796 8.819976 9.79367 In 9.844102 9.549452ft 9.459126 9.336499 9.969774 1852 B 9.862437 9.833683 8.819899 9.793557 9.844196 9.549434W 9.4590207* 9.336631 9.969777 1853 9.862536 9.833571 8.819823 9.793444W 9.844290 9.549416ft 9.45891371 9.336764 9.969780 1854 9.862G35 9.833458 8.819746 9.793330W 9.844384 9.549398ft 9.458806ft 9.336896 9.969783 1855 9.862734 9.833346 8.819669 9.793217W 9.844479 9.54938071 9.458700ft 9.337029 9.969786 18565 9.862833 9.833233 8.819592 9.7931037? 9.844573 9.549362M 9.45859371 9.337161 9.969789 1857 9.862932 9.833120 8.819515 9.792990W 9.844667 9.549344 9.458486ft 9.337293 9.969792 1858 9.863031 9.833007 8.819438 9.792876/Z 9.844761 9.549326W 9.45837971 9.337425 9.969795 1859 9.863130 9.832896 8.819362 9.792763W 9.844855 9.549308 9.45827271 9.337557 9.969798 1860 B 9.863229 9.832781 8.819285 9.792649W 9.844949 9.549290M 9.45816571 9.337689 9.969801 1861 9.863328 9.832668 8.819208 9.792535W 9.845043 9.549272?l 9.458058ft 9.337821 9.969804 1662 9.863426 9.832555 8.819131 9.792421W 9.845137 9.549254tt 9.457951ft 9.337952 9.969807 J8G3 9.863525 9.832442 8.819054 9.792307W 9.845231 9.549236M 9.45784471 9.338084 9.969810 18645 9.863624 9.832329 8.818977 9.792193W 9.845325 9.549218U 9.457737ft 9.338216 9.969813 1865 9.863722 9.832216 8.818900 9.792079W 9.845419 9.549200ra 9.457630ft 9.338348 9.969816 1866 9.863820 9.832103 8.818823 9.791965W 9.845512 9.549183W 9.457522n 9.338479 9.969819 1867 9.863918 9.831990 8.818747 9.791851M 9.845606 9.549162W 9.457415ra 9.338611 9.969822 18685 9.864016 9.831876 8.818670 9.791737W 9.845700 9.549142W 9.45730771 9.338742 9.9C9825 1869 9.864114 9.831763 8.818593 9.791623W 9.845794 9.549126?l 9.45720071 9.338873 9.969828 1870 9.864213 9.831649 8.818516 9.791508W 9.845887 9.549111ft 9.457092ra 9.339004 9.969831 1871 9.864311 9.831536 8.818440 9.791393 9.845981 9.549093M 9.45698571 9.339135 9.969834 18725 9.864409 9.831422 8.818363 9.791279W 9.846074 9. 549075 9.456877ft 9.339266 9.969837 1873 9.864507 9.831309 8.818286 9.791 165w 9.846168 9.549057 9.456769n 9.339397 9.969840 1874 9.864606 9.831195 8.818209 9.791050 9.846261 9.54903971 9.456661ft 9.339527 9.969843 1875 9.864704 9.831081 8.818133 9.790936W 9.846355 9.549021 M 9.456553ft 9.339658 9.969846 18765 9.864802 9.830967 8.818056 9.790821 n 9.846448 9.5490037J 9.456445?! 9.339788 9.969849 1877 9.864900 9.830853 8.817979 9.790706 9.846541 9.54898571 9.456337ft 9.339919 9.969852 1878 9.864999 9.830739 8.817902 9.790591W 9.846G34 9.5489677J 9.456229ft 9.340049 9.969855 1879 9.865097 9.830625 8.817825 9.790477/t 9.846728 9.548949?( 9.456I21M 9.340180 9.969858 18805 9.865195 9.830511 8.817748 9.790362/1 9.846821 9.548931?i 9.45601 3 9.340310 9.969861 1881 9.865293 9.830397 8.817672 9.790247;* 9.846914 9.54891371 9.45590571 9.340440 9.969864 1882 9.865390 9.830283 8.817594 9.790132 9.847007 9.548896?! 9.45579771 9.340570 9.969867 1883 9.865487 9.830169 8.817517 9.790017M 9.847100 9.548878?i 9.455689ft 9.340700 9.969869 18845 9.865585 9.830055 8.817440 9.789902 9.847193 9.54886071 9.45558)71 9.340830 9.969872 1885 9.865682 9.829941 8.817363 9.789787-W 9.847286 9.5488427t 9.455473W 9.340960 9.969875 1886 9.865780 9.829826 8.817285 9.789672 9.847379 9.54882571 ' 9.455364ft 9.341090 9.969878 1887 9.865877 9.829712 8.817208 9.789557W 9.847472 9.54880771 9.455256re 9.341220 9.969881 18885 9.865975 9.829597 8.817130 9.789442W 9.847565 9.548789 9.455148ft 9.341350 9.969884 1889 9.866072 9.829483 8.817053 9.789327 9.847658 9.54877171 9.455040ft 9.341480 9.969887 1890 9.866170 9.829368 8.816975 9.78921 In 9.847750 9.548754ra 9.454931ft 9.341609 9.969890 1891 9.866267 9.829253 8.816898 9.789096W 9.847843 9.548736?i 9.454823ft 9.341739 9.969893 18925 9.866365 9.829139 8.816820 9.788980W 9.847935 9.548718M 9.454714w 9.341868 9.969896 1893 9.866462 9.829025 8.816743 9.788865W 9.848028 9.548700?! 9.45460671 9.341998 9.969849 1894 9.866559 9.828910 8.8166G5 9.788749/z 9.848120 9.548C83rt 9.45449771 9.342127 9.969902 1895 9.866650 9.828796 8.816588 9.788634/z 9.848213 9.54866571 9.454389ft 9.342257 9.969905 18965 9.866754 9.828681 8.816510 9.788518W 9.848305 9.54864771 9.454280ra 9.342386 9.969908 1897 9.8G6851 9.828566 8.816433 9.788402 9.848398 9.548629?! 9.454172ft 9.342515 9.969911 1896 9.866948 9.828451 8.816355 9.788286/z 9.848490 9.548612 9.45406371 9.342644 9.969914 1699 9.867045 9.828386 8.816278 9.788170/1 9.848583 9.54859471 9.453958ra 9.342774 9.969917 19005 9.867143 9.828221 8.816200 9.78.S034/). 9.848675 9.54857671 9.453849ft 9.342903 9.969920 52 TABLE VI. CONSTANTS FOR THE EQUATOR. Equator and mean Equinox at the beginning of the Year. Year. A' B 1 (? log sin a log sin b log sin c 1 II a 1 II / // 1850 46 52 2.4 318 18 19.9 307 4.4 9.999061 9.970859 9.556891 I8&1 46 52 52.5 318 19 8.8 307 58.9 9.999051 9.970861 9.556871 18525 46 53 42.8 318 19 57.9 307 1 53.6 9.999051 9.970864 9.556851 1853 46 54 33.0 318 20 46.8 307 2 48.1 9.999052 9.970866 9.566831 1854 46 55 23.1 318 21 35.8 307 3 42.7 9.999052 9.970869 9.556811 is:,:, 46 56 13.2 318 24 24.7 307 4 37.2 9.999052 9.970871 9.556791 18565 46 57 3.5 318 23 13.8 307 5 31.9 9.999053 9.970874 9.556771 1857 46 57 53.7 318 24 2.7 307 6 26.5 9.999053 '.I.K70876 9.556751 1858 46 58 43.8 318 24 51.7 307 7 21.0 9.999053 9.970879 9.556731 1859 46 59 34.0 318 25 40.6 307 8 15.6 9.999053 9.970881 9.556711 18605 47 24.2 318 26 29.7 307 9 10.3 9.999053 9.970884 9.556691 18