VJX }_} UC-NRLF TABLES OF HARMONIA University of California. TABLES OF HARMONIA 9 BY E. SCHUBERT. COMPUTED FOR THE AMERICAN EPHEMERIS AND NAUTICAL ALMANAC, *&- OP THB***^ riU-7.EBSIT7] BUREAU OF NAVIGATION, WASHINGTON. 1869. \v - INTRODUCTION, A COMPLETE list of the general perturbations of Harmonia by Jupiter and the determination of the * elements by means of them having been published in Vol. LXVI of the " Astr. Nachrichten," it is only necessary to repeat here the retained terms of the perturbations in the contracted form and the elements upon which the Tables have been constructed. In these M and M' are the mean anomalies of Harmonia and Jupiter respectively. Denoting the arguments as follows : 1 = - M' U = M - 2 M' HI = M- M' IV = M3M' V = '2 M - M' VI = M VII = 2 M - 3 M' VIII = 3 M - 2 M' IX = 3 M - 4 M' X = XI = XII = XIII = XIV = XV = XVI = XVII = M - 4 M' 3 M - M' 4 M 3 M' M 2 M' M -3M' M - M' 3 M - 5 M' 4 M' 5 M' XVIII = XIX = XX = XXI = XXII = XXIII = XXIV = XXV = 5 M - 3M' 4 M - M' 5M-2M' 5 M - 4 M ' 2 M - 5 M' - 2 M - M' 5M-GM' 6 M - 5 M' The perturbations of the rectangular coordinates in units of the Sixth Decimal (the plane of the orbit of Harmonia being the fundamental-plane) are : M 1 M 2 J\l 3 .If 4 M 1 2 I 3 1 4 I II '> II 3 II III 2 III 3 III '4 III 5 III IV 2 IV - 3.10* + 0.05* + l.Obt + 0.07* +733.1 -2G5.2 -222.8 - 14.5 -846.3 - 2.7 - 0.9 + 4J.4 v+147.4 +119.8 + 2.7 + 0.5 -377.4 - 0.9 +412.52* + 22.89J + 1.26* + 0.06* + 146.4 - 132.3 - 83.1 4.0 - 348.9 5.1 - 0.4 11.5 75.3 28.3 1.7 0.5 - 85.0 - 11.38* -412.35* - 22.88* - 1.26* - O.OGi + 147.2 - 132.1 - 83.0 4.0 - 344.6 - 15.0 - 0.4 + 15.9 - 69.6 - 27.8 - 1.7 - 0.5 - 85.1 1.06* 0.07* - 728.9 + 265.5 + 222.8 + 14.5 + 847.5 + 41.1 + 0.9 + 31.5 + 136.1 + 119.6 + 3.0 + 0.8 + 378.4 + 0.9 +18.94* + 0.44* + 13.5 - 1.9 - 0.0 + 23.0 + 5.6 - 2.3 + 1.1 - 0.8 + 4.4 + 2.7 - 1.4 - 0.4 + 9.3 + 2.8 - 1.3 + 0.9 - 0.4 + 2.0 fi 1\ fi CO* in cot lin cos sin V -328.0 - 67.3 + 67.5 - 328.6 - 5.6 - 1.1 a v + 16.0 + 6.6 - 0.6 + I.V.i VI - 8.1 + l.H - 1.4 1 V 1 +112.0 +111.5 + 5.3 J VI + 6.1 - 1 -' + 1.1 + 6.1 VII + 93.4 + 11.3 -1237 +260.6 - 30.5 - 19.9 2 VII 1.1 - 1.4 1.4 + 1.6 Mil +205.6 + Ki 1 - 85.0 +205.2 - 1.0 - 0.4 IX - 27.4 - 14.9 - 15.7 + 3.8 - 1.5 - 1.5 X + 32.4 - 0.7 - 0.7 - 32.3 XI - 2 1 ,'.-' - 4.7 + 4.8 - 22.4 XII + 20.7 + 10.2 - 10.1 + 20.5 XIII - 9.8 - 3.9 - 3.8 + 9.8 XIV - 9 - 3.5 - 3.5 + 9.6 XV - 2.5 + 15.0 + 16.0 + 2.5 ' XVI - 4.8 - 3.3 - 3.3 + 4.1 XVII - 3.1 - 4.6 - 5.0 . + 3.6 \VIII + 1.6 + 0.9 - 0.9 + 1.6 MX - 1.3 - 0.3 + 0.3 - 1.3 XX + 1.0 + 0.4 - 0.4 + 1.0 X XI + 1.7 + 1.9 - 1.8 + 1.7 .XXII + 1.2 - 0.9 - 0.9 - 1.3 XXIII - 0.8 + 0.5 + 0.5 + 0.8 XXIV - 0.8 - 1.5 - 1.6 + 1.3 XXV 4- .1 -, + 0.7 - 0-7 + 0.5 Elfmaitt. 1863, Jan. 0, Washington Mean Tiim-. / // / // J/ = 186 52 40.5 f = 2 40 13.6 - = 051 7.0 ,, = 1039".3353 Q = 93 34 51.8 f Ml * ** | og a = 0.355500 = 45 48.4 The following Normals arc reduced to the mean equinox 1863.0. Berlin M. T. " ' Berlin M. T. a ,1 1856 April + 5 4 1 lie 1861 December 27.5 78 3o BJJ +i>3 3/'.4 7 Soplemb. ]-:', 1883 M.u '->I7 4 58.0 - 8 !>l L"J - 1- 1 . -. 1 !' 1", 1 +l!l M 1II.7 l-.l II, , .,!., . 17 41 34.7 - 49 44.!) Julr -24 47 and they arc rcprcsentc.! l.y tin- Tal.l. , uiili thu followinu' r. -^iiluals :- . A o co t A '-_ :i|.:t 16.8 19.1 IT.:, 9.9 4.8 IU 05 1.3 0.8 0.5 ua&a DBJ 20a.6 :r,.T 3.8 2.6 4.3 14.7 S3 0.3 4.1 0.2 05 0.8 664.2 830 1 HMU BJ9.7 26.1 :!.-> 6.0 1.6 0.7 1.0 0.6 + 19.0 6.8 1 1 .r. 1.6 4.5 35.9 0.1 4.9 6.3 1.6 sin (.' + r) 253 19 7.1 9.U8i:!-'7 r gin n 0.373082 z 0.3544il'.< sin (B> + r) 165 8 19.7 9.409050 r sin b (l.:7!>-.'-.' y 9.746: '7-.> sin (C'+r) 153 29 30.4 9.6411652 r sin c !'.'.I7.-)902 z 9.625554 y +0.5.V-l::t V - 399 K :;:;:! A cos <)' sin a 1 +0.264672 !>. I-J-J7H z -2.261563 f - 236 X +0.1)38542 A cos d' COB a' -1.323257 0.12l644n cos a' ii.'.i'.M !-,' tan a> Kirf 41 21.1 0.301064n : +0.422-J:tr. f 7! Z -0.127-J'.':* Asinii' +0.294863 !M> A cos d' 0.1301(i-J cos &' 9.1te!i-7-,! tan /,' +12 19 32.2 03394 A 0.140-.': nt Reduction to the npp. ci|iiiin>x. ;/ / + 12.24 e i.oo.v,' <; 16 sin (G' + a') 22(5 r.7 !' -lili-,, tan d' 9.3395 11 ID:< -34 I:; -; 75 1517J2 ^39 l'.Ui).7 3.5 7:' 1 + 12.8 6.6 co(x t z)? - 247.2 ccw (y, z) J + 6.5 co (:, i) ? + 4.9 f - 235.8 co,(x l9 )f - H.O eo(yi)?' - 361.5 co. (r, y) C - S6.1 1.62 0.2085* A o' + 10.62 cos(C' + o') /( !i.SI4-,' Ad' - 6.1)1 (> -:!'.>! a 168 41 3l'.7 (i +1-J 111 2r..:t 17 - 396.6 co(i,s)f + I:.-.' co.(y,i),' IV, | CO. * 1,1 1 - : i TABLE I . FOR THE MEAN ANOMALY. The times are referred to the meridian of Washington. Years. M 1 Years. M t 18505 168 56 49.43 - 6.99795 1879 / // 74 3 55.95 +16.00000 1657 274 19 36.82 5.99863 18805 179 43 52.67 17.00205 1858 19 42 14.20 4.99932 1881 285 6 30.06 18.00137 1859 125 4 51.59 4.00000 1882 30 29 7.44 19.00068 18605 230 44 48.31 2.99795 1883 135 51 44.83 20.00000 1861 336 7 25.69 1.99863 18845 241 31 41.55 21.00205 1862 81 30 3.08 - 0.99932 1885 346 54 18.93 22.00137 1803 180 52 40.46 0.00000 1886 92 16 56.32 23.00068 18645 292 32 37.18 + 1.00205 ' 1887 197 39 33.70 24.00000 1865 37 55 14.56 2.00137 18885 303 19 30.42 25.00205 1866 143 17 51.95 3.00068 1889 48 42 7.80 26.00137 1867 248 40 29.33 4.00000 1890 154 4 45.19 27.00068 18685 354 20 26.05 5.00205 1891 259 27 22.57 28.00000 1809 99 43 3.44 6.00137 18925 5 7 19.29 29.00205 1870 205 5 40.82 7.00008 1893 110 29 56.68 30.00137 1S7J 3JO 28 18.21 8.00000 1894 215 52 34.00 31.00068 18725 56 8 14.93 9.00205 1895 321 15 11.45 32.00000 1873 161 30 52.31 10.00137 18965 06 55 8.17 33.00205 1874 266 53 29.70 11.00068 1897 172 17 45.55 34.00137 1875 12 16 7.08 12.00000 1898 277 40 22.94 35.00068 18765 117 50 3.80 13.00205 1899 23 3 0.32 36.00000 1877 223 18 41.18 14.00137 19005 128 42 57.04 +37.00205 1878 328 41 18.57 +15.00068 Month*. M t Days. M t , January . o o o.oo + o.ooooo 1 o / // 17 19.34 + 0.00274 February 8 56 59.39 * 0.08488 2 34 38.67 0.00548 March 17 2 0.78 0.16154 3 51 58.01 0.00821 April 25 59 0.18 0.24042 4 1 9 17.34 0.01095 May :!4 38 40.24 0.32850 5 1 26 30.08 0.01369 June 43 35 39.63 0.41344 6 1 43 56.01 0.01643 July 52 15 19.C!) 0.49558 7 2 1 15.35 0.01917 August (ii 12 19.08 0.58046 8 2 18 34.68 0.02190 September 70 9 18.48 0.66534 9 2 35 54.02 0.02464 October 78 48 58.54 0.74748 10 2 53 13.35 . 0.02738 November 87 45 57.93 0.83236 20 5 46 26.70 0.05476 December 96 25 37.!)!! + 0.91450 . 30 8 39 40.05 + 0.08214 In Bissextile Years one day must be subtracted from the date in the first two months. 8 TABLE I. Concluded. FOR THE MEAN ANOMALY. The limes are referred to the meridian of Washington. Hours. M ' Hours. M ' 1 43.31 +0.0001 1 13 i n :> 22.98 +0.00149 1 1 -Jfi.ffl o.ooo-j:) 14 10 6.28 0.00 ICO 3 2 O.OOOM 15 10 49.59 0.001 7 'J 4 i.v.'-J 0.00046 16 11 32.90 0.00183 5 3 36.53 0.00057 17 12 16.20 0.00195 6 4 19.84 0.00069 18 12 59.51 0.00206 7 5 3.14 0.00080 19 13 42.81 0.00218 8 5 46.45 0.00092 20 ii -ji ;.r_' 0.00229 9 6 2!>.;:. 0.00103 21 15 9.43 0.00241 10 7 13.06 0.00114 n 15 52.7:! 0.00252 11 7 56.37 0.00126 23 16 36.04 0.00964 II 8 39.67 +0.00137 M 17 i!i.:u 0.00275 M M For Minutes. For Seconds. For Minutes. For Seconds. 1 o'.72 n 0.01 31 22.37 n 0.37 2 1.44 0.02 32 23.10 0.38 3 2.16 0.04 33 23.82 0.40 4 2.89 0.05 34 24.54 0.41 1 3.61 0.06 35 KJH 0.42 i 4.33 0.07 36 0.43 7 5.05 0.08 37 26.70 0.45 8 5.77 0.10 38 27.43 0.46 9 6.50 0.11 39 28.15 0.47 10 TJU 0.12 40 28.87 0.48 11 7.94 0.13 41 99.60 0.41) 13 ' ' ; 0.14 40 30.31 0.51 13 9.38 0.16 43 31.03 0.52 14 10.10 0.17 44 31.76 0.53 15 10.83 0.18 M 39.48 0.54 16 11.. V. 0.19 46 33.10 0.56 117 12.27 0.20 47 33.91 0.57 18 0.22 1- 34.64 0.58 19 111.71 0.23 40 36.37 0.60 90 14.43 0.24 50 36X19 0.60 16.10 0.25 61 :u;>i 0.61 M K. -- "..' M 37.83 0.62 S3 0.28 53 O.C4 N 0.29 r.4 :',-.: 17 0.65 ;-. 0.30 K 30.70 0.66 ' 0.31 40.41 0.67 '- : 0.32 69 41.11 0.34 41Jt 0.70 ,. 0.35 1 1 0.71 M GO 43.31 0.72 TABLE II. FOR THE CORRECTION c TO BE ADDED TO THE AUXILIARY ANOMALY '. Argument = Jlf. For M > 180 the Argument is 360 M, and the sign of c is to be reversed. Arg. c Diff. Arg. c Diff. Arg. c Diff. Arg. c Diff. o 11 H 'II ii O ii O ii ll o 0.00 45 +1 13.90 90 - 13.77 135 -109.08 1 + 4.30 +4.30 46 113.40 -0.50 91 17.62 -3.85 136 108.67 +0.41 2 8.59 4.29 47 112.75 92 21.43 3.81 137 108.14 0.53 3 12.86 4.27 48 111.95 0.80 93 25.20 3.77 138 107.49 0.65 17.11 4.25 49 111.01 0.94 94 28.93 3.73 139 106.72 0.77 5 21.35 4.24 50 109.92 1.09 95 32.63 3.70 140 105.84 . 0.88 6 25.56 4.21 51 108.68 1.24 96 36.29 3.66 141 104.84 1.00 4.17 1.38 3.60 1.11 7 29.73 52 107.30 97 39.89 142 103.73 8 33.85 4.12 53 105.79 1.51* 98 43.44 3.55 143 102.50 1.23 9 37.92 4.07 54 104.15 1.61 99 46.92 3.48 144 101.17 1.33 10 41.93 4.01 55 102.37 1.78 100 50.34 3.42 145 99.73 1.44 1] 45.90 3.97 56 100.45 1.92 101 53.70 3.36 146 98.17 1.56 12 49.80 3.90 57 98.41 2.04 102 56.99 3.29 147 96.51 1.66 13 53.62 3.82 58 9G.24 2.17 103 60.20 3.21 148 94.75 1.76 3.75 2.28 3.14 14 57.37 59 93.96 104 63.34 149 92.89 ' 15 61.03 3.66 60 91.56 2.40 105 66.40 3.06 150 90.93 1.96 16 64.61 3.58 Cl 89.05 2.51 106 69.37 2.97 151 88.87 2,06 17 68.10 3.49 62 86.42 2.63 107 72.26 2.89 152 86.72 2.15 18 71.49 3.39 63 83.69 2.73 108 75.05 2.79 153 84.48 2.24 19 74.77 3.28 64 80.86 2.83 109 77.75 2.70 154 82.14 2.34 20 77.96 3.19 65 77.93 2.93 110 80.3G 2.61 155 79.72 2.42 21 81.04 3.08 66 74.90 3.03 111 82.86 2.50 15G 77.22 2.50 22 84.00 2.96 67 71.78 3.12 112 85.26 2.40 157 74.64 2.58 23 86.84 2.84 68 68.58 3.20 113 87.57 2.31 158 71 .97 2.67 24 89.55 2.71 69 65.30 3.28 114 89.77 S.20 159 69.23 2.74 25 92.14 2.59 70 61.94 3.36 115 91.86 2.09 160 66.42 2.81 26 94. GO 2.46 71 58.51 3.43 116 93.84 1.98 101 63.54 2.88 27 90.93 2.33 72 55.02 3.49 117 95.71 1.87 162 60.59 2.95 28 99.12 2.19 73 51.47 3.55 118 97.47 1.76 163 57.58 3.01 29 101.18 2.06 74 47.85 3.62 119 99.11 1.64 1G4 54.51 3.07 30 103.10 1.92 75 44.18 3.67 120 10Q.G4 1.53 165 51.38 3.13 31 104.87 1.77 70 40.47 3.71 121 102.08 1.44 166 48.20 3,18 32 106.50 1.63 77 36.71 3.76 199 103.34 1.26 167 44.97 3.23 33 107.98 1.48 78 ) 70 32.92 123 104.51 1.17 168 41.69 3,28 34 109.31 1.33 7!) 29.09 124 105.57 1.06 169 38.37 3.32 35 110.50 1.19 80 25.23 3.86 125 106.50 0.93 170 35.01 3.36 36 111.53 1.03 81 21.36 3 ' 8? 126 107.31 0.81 171 31.61 3.40 37 112.41 0.88 89 17.47 127 108.00 0.69 172 28.18 3.43 38 113.13 0.72 83 13.56 128 108.56 0.56 173 24.72 3.46 39 113.70 0.57 84 9.64 129 109.00 0.44 174 21 .24 3.48 40 114.12 0.42 85 5.72 130 109.32 0.33 75 17 74 3.50 41 114.38 0.36 86 + 1.80 3 ' 92 131 109.52 0.20 76 | 14.21 42 114.49 +0.11 87 - 2.11 3 ' 91 132 109.59 -0.07 77 10. G7 3.54 43 114.45 -0.04 88 6.01 3 ' 9 133 109.54 +0.05 78 7.12 3.55 44 114.25 0.20 89 9.90 3 ' 89 134 109.37 79 - 3.56 45 +113.90 0.35 90 - 13.77 135 1 -109.08 +0.29 180 0.00 +3.56 COt 4 0' 1 e = . . cot J M True Anomaly r = r' + c log . -T-| = 9.959502 r p log;, = 0.354557 log , = 8.668304 ~ 1 -f- F COS V II- 10 TABLE 11 I. FOR TIIK AHCl MENTS. A. For the different Yean. The times are referred to the meridian of Washington. Yean. t II. III IV. V VI. VII. Mil l.\ X. XI. XII. XIII. 4 o o o o o O o o i-:-;/; 29.54 88849 198.49 7.43 168.95 66.5 9064 265.0 287.1 176.4 44.4 2.-.H.1 i -:,: 874.78 273.51 '.171.97 1-7. -7 -.'7l.:n 186.3 101.4 99.8 271.2 102.2 14.9 84.1 1868 317.1- 286.37 8.30 19.70 306.1 356.9 294.7 9564 28.0 31.-,.:, 278.1 i -:, 2.20 6164 300.77 188.72 1-J5.0.S 65.9 859.4 1994 939.3 313.8 3lli.O II'J.O i-..'/; 898.18 47.0.-, 138.90 :u.vji 9.65 -j:i.7.-. 186.0 148.5 3944 993. 1 240.4 J-7.1 305.6 1861 91.T8 Ji3.!>r, 329.61 190.08 33li.l-J IW5.7 44.0 169.7 207.4 166.2 958,0 139.5 I -.;_ 207.50 136.51 289.00 34441 10.50 M.50 299.5 3544 191.5 92.0 998.5 333.5 I77.]- 1-1.-J3 4.06 :;.-.-. II 190.93 186.88 185.3 1964 189.3 175.6 17.8 199.0 1674 ! i- 1/)' I4C..77 7H.31 12.85 ll.-.i .':'.'. :.l 305.4 91.2 24.7 159.6 304.4 170.5 1.0 i-..-, in;, ii J7H.-1 I5I.3T, 27.25 r .<;.> 37.92 054 346.6 9194 143.7 230.2 141.0 195.0 1866 96.19 :u :,.:, i 1146 12.71 143.30 184.9 949.1 54.4 1974 156.0 111.5 38.9 I-..7 040 304.47 56.05 193.14 248.67 304.7 137.G 9494 111.8 81.8 89. 1 999.9 !-..-/,' 45,11 19.79 70.49 14.06 35I.:H 64.8 33.8 84.6 964 8.4 534 56.4 ! i860 94.78 94.06 r.'i..-,n 99.79 1844 9994 279.4 80.0 294.2 94.0 250.4 1870 3-JI.73 i :u.5i; 169.83 99.29 1 l.'.i-J -J.I.-..KI 304.4 184.7 114.2 64.0 220.0 354.6 -I.I 1-71 ."i.ii 179.29 21 1.-- 113.7(1 195.35 310.47 64.2 80.2 309.0 48.1 145.8 395.1 978.4 i-;-.'/; J-J 1.11 180.14 128.14 16.27 50.14 1-1.:'. 336.4 144.4 39.1 7-.'. 1 -.".Hi.5 111.9 1873 36.19 n.'.:.i 196.71 1C.I..VJ :iii4.l 9314 3394 16.2 358.2 267.1 305.8 1-71 3I3..-.H iiii.-ji [KM 17.13 -JIH5.89 63.8 127.4 174.1 0.3 284.0 237. (i 139.S 1875 173.03 i<>.->.> 171.31 19756 12.27 183.6 994 34 344.4 209.8 i 333.8 ienB 14949 4:1.17 ji;o..v, 186.78 18.4^ 117.-.I3 303.7 8794 9044 398.4 136.4 179.C IC.7.3 1877 II -J.-JI 200.19 198.91 223.31 63.5 174.5 39.1 319.6 62.2 150.1 1.3 1878 81.97 n-j.ti-j 81169 l'.i.3l .i-.'-..;;i 183.3 70.0 9334 996.5 348.0 120.7 195.3 1879 SIM I77.:r, l-J.-i.7l l:t'.'.77 7I.H7 303.1 3964 68.7 280.6 273.8 914 99.9 i-- >/; 81.93 WOJM 84843 20.70 I7H.73 C.3.-J 991.7 964.1 964.7 200.4 69.6 999.7 i--i 86743 JOI.I-J '.'-.-,.11 l-.'.'.i 117.1 99.0 JI-.7 126.2 33.9 .Mi. 7 I--.- n '...- IIII.IM 35 1.07 97943 ,'I..V, 30.111 302.7 I-M; 293.8 939.8 59.0 3.7 -J.-.0.7 l--: :{.--:.:(- 286.64 -J.il.ii- i:i:..-r. <;>.:, 268.1 1984 216.9 337.8 331.2 -1.7 i--i/; 4143 141.38 3014? J-J.!MI -J1I..VI l-.'.il 1644 324.0 200.9 964.4 305.7 9784 i---. 91643 31848 J03.33 3IC.1H 302.4 59.8 i:.-.- 185.0 1904 276.2 112.1 :--.. 991.48 -':!. 7. ; I.-.'.-.'- .;.'.! 315.2 3634 169.1 116.0 946.7 306.1 1--7 16847 17:.. IM 314.2- joi. in nc.iii; 1814 JI0.7 i. --..-. 153.1 41.8 JI7.3 140.1 wB I3-.I7 -.'.-..II 303.33 3ii-J.(l 1064 137.9 398.4 1 .7 333.6 !--.. III-. II I. v;.-i 18.19 -o.-,..-,| I-.70 614 J.i 218.7 191.3 9544 I.Vi.-J 167.6 I-,, 77. -1 3011.71 j:i - ' 8748 : I.-.4.08 181.6 53.6 106.3 1804 l-J'.t..- 1.6 I".H . ILU 301.4 1684 9484 89.4 105.8 100.3 1115.5 i - . /; 17.ll- 6846 :..rj 614 in.:, 83.7 7:1.1 32.4 71.7 89.0 MM 346.78 -l.lll 70.71; -'07.7.-, 110.50 181.3 305.0 9784 :,7.r, 318.2 49.3 993.0 i-7 4'.' <;:t7 i -- I."i.:i2 - ' III.-.' 21.7 I&6 M:, :i5.vi0 : B i-' 1:1 -'.:(-' 2i.i(> I7.n:i 1!",4 41.3 :u.r. April :f.. n."-' :t:,l ii. IK 99.fi 634) 48.0 M,* 350.03 H7n :ii,r 47:1 .v.i.:ti :u.(i4 :i'.t,i -in 64.0 Jim.- :t47.46 18.50 31 JK :,;ir, rii.i 4:i..v. r':. 105.7 80.6 Juiv :i44ixi -.-j-.-r :t7'Ji 7.1:1 99.47 '^.-.H; .Vl.l 126.7 96.6 August :i!-.>39 rv:i-| 104.7! CI.21 ,..-, 1 1- 1 11:1.1 September 1 '77 4!>.!Hi l-.M.ii 70.16 7!.7 170.1 r.-.i.7 .br :7.32 33.44 :>6.i3 l(l.7:> 134.!>4 7 -..' 89.6 . 191.1 1 ir, 7 N MitM-r :4 .75 I1.K7 l.-.ll-^i -7.77 99.7 212.8 IflU ,,lr 33225 IMIti 11,:, on 'XZtt 109.6 17- -J Month*. \ M Ml Mil \ 1 \ XV. XVI XVII. XVIII. January "" . "" 0.0 I , o o o 0.0 n o Februarv -i: 1 - iW.l :t|.'..;i 343 348 14 n 37 March :u-,T 1 :.:t.4 :K3.2 :$38 M 41 70 April :i'.t. 1 -I :. :iiit.o :ui :i-.>7 -in ee 109 M 10f.6 us M 89 149 II-.' I3U.7 *.<\:.\ -'7:i :?04 (W 119 180 Jul 3521 141.7 277.11 -'Ii4 293 fl 1:14 216 Augu.t I'-." I:M n Ji,:i,-. -JI-, -J-l !ir. i:,7 253 mber ll'-' 220.0 -.M;I 1 270 inn 180 290 .her 21:1.7 -M7-J 213 -J.V.I vu KM :WG 238.0 221.7 1% '-'47 136 '->-r> :i >t..T -''.I ." m i 180 896 1541 '-'17 39 XXI XXII. XXIII. XXIV. XXV Month. M \ \ \ January (1 o 000 I) o II nary 33 34 :, :i:t:t -jit 41 Marrl, G:> ;t :!-'! :^i n April II'. 1 1 ii- Mar 1-'- l.'.l in III '-'-I 113 i - m M .'i 200 1 1:1 190 July 1 'I 171 Auc :n -'7 11 :'.ll i 19 :tv!n 4-1 160 H9 l r 337 4'.' I.V.I '.>-7 40 II nit :u:, -n In lliMcxtile Yean tubtract one day from the dale in the fin! two months. 13 TA BLE I II. Concluded. FOR THE ARGUMENTS. C. Variations of the Arguments for the different Days. The times are referred to the meridian of Washington. Days. I. II. III. IV. V. VI. VII. VIII. IX. X. XI. XII. XIII. 1 o o o o 1 359.92 0.12 0.21 0.04 0.49 0.29 0.3 0.7 0.5 0.0 0.8 0.9 359.5 2 359.83 0.24 0.41 0.08 0.99 0.58 0.7 1.4 1.1 359.9 1.6 1.8 359.1 3 359.75 0.37 0.62 0.12 1.48 0.87 1.0 2.1 1.6 ! 359.9 2.3 2.7 358.6 4 359.67 0.49 0.82 0.16 1.98 1.15 1.3 2.8 2.1 359.8 3.1 3.6 358.2 5 359.53 0.61 1.03 0.20 2.47 1.44 1.6 3.5 2.7 359.8 3.9 4.5 357.7 6 35!).50 0.73 1.23 0.24 2.97 1.73 2.0 4.2 3.2 359.7 4.7 5.4 357.3 7 359.42 0.86 1.44 0.28 3.46 2.02 2.3 4.9 3.7 359.7- 5.5 6.3 356.8 8 359.33 0.98 1.64 0.32 3.95 2.31 : 2.6 5.6 4.3 359.6 .6.3 7.2 356.4 9 359.25 1.10 1.85 0.35 4.45 2.60 3.0 6.3 4.8 359.6' 7.0 8.1 355.9 10 359.17 1.22 2.06 0.39 4.94 2.89 3.3 7.0 5.3 359.6 7.8 9.0 355.4 20 358.34 2.45 4.11 0.79 9.89 5.77 6.6 14.0 10.7 359.1 15.7 18.1 350.9 30 35751 3.67 6.17 1.18 14.83 8.66 1 9.8 21.0 16.0 358.7 23.5 27.2 346.3 XV. Days. 1 XIV. XVI. XVII. XVIII. XIX. XX. XXI. XXII. XXIII. XXIV. XXV. 1 o 359 o 1 o 1 o 1 O 1 o 1 o 359 o 1 1 o 2 359 359 1 1 2 2 3 2 359 2 3 1! 358 359 1 2 4 3 4 3 358 3 4 4 358 359 2 3 5 4 5 4 1 357 4 5 .-> 357 358 2 4 6 5 6 6 1 357 5 7 13 357 358 3 4 7 6 8 7 1 356 6 8 7 356 357 3 5 8 7 9 8 1 355 7 9 8 356 357 4 6 10 9 10 9 1 355 8 11 9 355 357 4 7 11 10 12 10 1 354 8 12 10 355 356 4 7 12 11 13 11 2 353 9 13 20 340 353 9 15 24 21 26 22 3 347 19 26 30 344 349 13 22 36 32 38 33 5 340 28 40 1). Variations of the arguments for the different Hours. The times are referred to the meridian of Washington. Hours. I. II. III. IV. V. VI. VII. VIII. IX. X. XI. i XII. XIII. 1 0.00 0.00 0.01 0.00 0.02 0.01 0.0 0.0 0.0 0.0 o 0.0 o 0.0 2 359.99 0.1)1 0.02 0.00 0.04 0.02 0.0 0.1 0.0 0.1 0.1 0.0 3 359.99 0.01 0.03 0.00 0.06 0.04 0.0 0.1 0.1 0.1 0.1 359.9 : 4 359.99 0.02 0.03 0.01 0.08 0.05 0.1 O.I 0.1 0.1 0.2 359.9 5 359.98 0.02 0.04 0.01 0.10 0.06 0.1 0.1 0.1 0.2 0.2 359.9 6 359.98 0.03 : 0.05 0.01 0.12 1 0.07 0.1 0.2 0.1 0.2 0.2 : 359.9 7 359.98 0.03 0.06 0.01 0.14 0.08 0.1 2 0.2 0.2 0.3 ': 359.9 8 359.97 0.04 0.07 0.01 0-.16 0.10 0.1 0.2 0.2 0.3 0.3 ( 359.8 9 359.97 0.04 0.08 0.01 0.18 0-11 0.1 0.3 0.2 0.3 0.3 359.8 10 359.96 0.05 0.08 : 0.02 ! 0.21 0.12 0.1 0.3 0.2 0.3 0.4 359.8 20 1 359.93 0.10 0.17 0.03 0.41 ; 0.24 0.3 0.6 0.4 0.7 0.8 359.6 14 TABLE IV. PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. TV-ruin mnltijilifd with 1. Argument = M. Arg. Diff. f Diff. ? Diff. Arg. t Diff. < Diff. {' Diff. e o 147 'Kl 0.00 I.', fit I '2 'M! -300.90 +13 1 48.07 417. -1 4- 0.19 4-1.04 M 817.90 4- 4.94 4- 5.97 +0.68 1 M.I'.' 8.06 1 17.:,.; o. 47 ;{._).> ,,.) 4.82 -'--.-7 6.06 3 '-.'. 1 7 8.05 117. HP 0.43 -1 l.lll 1- 396,79 4.70 9H9.73 6.14 14.51 4 8.04 ||,; ;,| 0.59 1.03 18 4.58 6.21 0.64 ' 8.03 145.76 0.75 50 336.78 4.45 6.39 1 8.01 144.86 0.90 -,'.117 51 :uo.(H 4.33 Jll! -7 6.36 16.16 7 .-.l.'.'l 7.99 1.06 1.03 68 344.98 4.30 .'",7. i:> i;. >; 0.59 8 7.96 41'.' .V.i 1.91 63 4.08 6.49 9 7n.ll 7.94 441.99 1.37 8.10 M :{.v.'!:! l 3.95 944.40 6.56 16.74 7.91 Mi 6.62 10 1.03 .">."> :i:,c,.i:i _.)(- -^ 0.54 11 4- 1.68 66 369.81 + 3.6S .,.,1 | f 6.68 I5J 03171 7.83 I.I-' 67 3.53 294.38 J.H 1C.28 13 101. .14 7.79 4:!4.->.' 1.98 1.00 :,- 366.79 3.43 6.77 0.50 14 rw.if.i 9.13 69 3.S9 210.78 6.83 15 IUM ' i-j '.-.' 9.97 R.19 j-.j .,- 3.17 Ml 16.78 If, 7.64 l'.'7.l'i 9.42 0.99 ill 376.98 3.03 198.98 0.4S 17 7.60 i-j|.- : 9.57 88 379.18 2.91 190.01 18 7.54 199.19 9.71 0.11 03 381.96 i.77 183.01 7.00 17.-.':! l 117. '.'I ir.i.-.v, . - 0.97 iil 384.60 2.64 176.98 7.03 7.41 3.00 2.50 7.07 0.40 90 -l.M.i,-. -Hi;. -.'I', 06 4387.10 -166.91 t( 4- ..35 li:i.i:i 4- 3.13 7.08 06 4- 2.37 161.80 4- 7.11 17.63 H ' 3.27 0.95 09 391.71 164.67 7.13 0.35 23 3.41 08 fi't -i 2.10 147..VJ 7.15 7.14 " Ml Ml 8M 1 .'.17 7.17 17.98 27 98 Otl.40 i,VV 9M .90 6.73 3.64 3.81 3.94 4.06 0.99 70 71 -2 7:t 400.89 lii-.MU 1.84 1.70 1..-.7 1.41 1 -'.V. II 118.71 111.47 7.19 JJU 7.-JI 0.29 18,97 : '.'l-.l:l 4.19 0.90 7 1 10343 1.30 104.99 7JB 0.25 6.64 4.39 1.11 30 31 .".'1.77 4-6.il (.46 M 4- 4.44 4.56 0.87 n 77 ioi.-i (06,86 40C.77 4- 1.05 0.91 - 9C.96 -.1.711 4- 7.26 0.19 33 34 37 .- .Mill J7I.I.! 6.96 6.17 6.06 - 1.74 140.19 . - 4.79 4.90 S.OI 5.11 s.sa 5.33 in. 7'.' 0.83 11.. V. 0.80 i _>.:!:, 7- n 82 -l 108.91 in-. 71 109.11 109.40 M9.63 108^84 0.79 0.53 0.39 0.27 0.13 4- 0.01 76.18 87.88 r,:t.:t:> 40.10 38.85 3149 7.28 tja 7.26 7.95 7.23 1-.7I 0.14 1-.-.-. 0.08 18,93 5.O 5.43 0.11 7.22 41 a 43 II 1.1 .'- -' ft. 18 4- 5.06 ... : , 4 5.59 S.6I 5.71 S.80 4- 5.*9 0.76 13.11 40.79 -,, -- -| 90 KNB%4I 109.19 in-.- 1 108.36 - 0.94 0.36 0.48 0.61 - 0.73 - -j l.in 10.09 4- 4.'.'7 4- 11.37 i 4- 7.20 7.18 7.16 7.13 4- 7.10 40.03 I-.'.M; -0.09 +18.94 15 TABLE IV. Continued. PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. Terms multiplied with t. Argument = M. Arg. P Diff. * Diff. ? Diff. Arg. f Diff. T,' Diff. v Diff. 90 +407.01 + 11.37 +18.94 135 +206.52 +278.36 +12.95 91 400.10 - 0.85 18.45 + 7.08 -0.07 136 261.47 -5.05 282.00 +4 ' 30 -0.7S 92 405.18 0.98 25.50 7.05 137 250.36 5 ' U 280.88 4 ' 22 .10 7.01 *> 17 4 12 93 404.08 32.51 18.87 138 251.19 291.00 4 ' 12.23 .21 6.98 5 23 4 03 94 402.87 39.49 0.12 139 245.90 295.03 0.75 95 401.54 .33 46.44 6.95 140 240.08 5 ' 298.97 3.94 .44 6.92 5 34 3.86 90 400.10 53.36 18.75 141 235.34 i 302.83 11.48 .56 6.88 5 40 3.77 97 398.54 60.24 0.17. 142 229.94 300.00 0.77 98 396.87 1.67 67.08 6.84 143 224.49 5.45 310.27 3.67 1.78 6.81 5.50 3.59 99 395.09 73.87 18.58 144 218.99 313.86 10.71 1.89 6.75 5.55 3.50 100 +393.20 + 80.62 0.23 145 +213.44 +317.36 0.80 101 391.19 -2.01 87.33 + 6.71 140 207.83 5.61 320.76 + 3.40 2.11 6.66 5 65 3.31 102 389.08 93.99 18.35 147 202.18 324.07 9.91 103 386.86 2.22 100.60 6.61 0.28 148 196.48 S.70 327.29 3.22 o.ea 104 384.53 2.33 107.16 6.56 149 190.74 5 '' 4 330.42 3.13 2.43 6.50 5 79 3.04 105 382.10 1 13.00 18.07 150 184.95 I 333.46 9.09 2.53 6.45 5 83 2.94 106 379.57 120.11 0.32 151 179.12 330.40 0.85 107 376.93 2.04 126.51 6.40 152 173.25 5.87 339.25 3.85 2.74 6.34 5.92 o ?* 106 374.19 132.85 17.75 153 107.33 342.00 " 8.24 109 371.35 2.84 139.13 6.28 164 161.37 5.96 344.05 2.65 2.95 6.23 0.37 5.99 2.56 0.87 110 +368.40 +145.36 155 +155.38 +347.21 111 365.36 - 3.05 151.52 + 6.16 17.38 150 149.36 -6.02 349.68 + 2.47 7.37 3.14 6.10 6 06 2.37 112 302.21 157.62 0.41 157 143.30 352.05 0.88 3.S4 6,04 O O7 113 358.97 103.00 156 137.21 354.32 ' 3.32 5.98 fi 12 O 17 114 355.05 169.64 16.97 159 131.09 ! 356.49 ' 6.49 3.42 5.91 6.15 2 07 115 352.23 175.55 0.45 100 124.94 358.56 0.90 3.50 5.85 6.18 1 98 110 348.73 181.40 161 118.76 360.54 117 345.13 3.60 187.17 5.77 10.52 162 112.56 6.20 362.42 1<88 5.59 3.68 5.71 fi.93 1 78 118 341.45 J 92.88 163 100.33 364.20 3.78 5.64 6 26 1 68 119 337.07 198.52 0.50 164 100.07 365.88 0.91 3.86 5.56 6.28 1.59 120 +333.81 +204.08 10.02 105 + 93.79 +307.47 4.68 3.95 + 5.49 i fi an + 1.49 121 329.86 209.57 0.54 166 87.49 366.96 0.92 4.03 5.42 6.32 1.39 122 325.83 214.99 107 81.17 370.35 4.12 5.35 6.34 1.29 123 321.71 220.34 15.48 168 74.83 371.04 3.76 4.19 5.27 6.36 1.19 124 317.52 225.01 0.57 169 68.47 372.83 0.93 4.28 5.19 6.37 1 ii-; 125 313.24 230.80 170 02.10 373.91 120 308.89 4.35 235.92 5.12 14.91 171 r- ~i 6 ' 39 ' 374.90 0.99 2.83 4.42 5.04 0.89 127 304.47 240'.96 0.62 172 49.31 375.79 0.94 4.49 4.96 6 41 0.78 128 299.98 245.95 173 42.90 370.57 4.57 4.88 6 43 129 295.41 250.80 14.29 174 !" ' !*" 30.4 / 377.26 1.89 4.64 4.80 6.44 0.59 130 +290.77 +255.00 0.65 175 + 30.03 +377.86 0.94 131 280.06 - 4.71 200.31 + 4.71 176 23.58 - 6.45 34 i + ' 49 4.78 4.64 G. l.~> 1Q 132 981.28 204.95 13.04 177 17.13 378.73 9 + 0.95 4.85 6.46 29 133 276.43 209.50 -0.69 178 10.67 379.05 0.95 134 271.51 4.92 273.97 4.47 179 + 4.21 6.46 379.20! ' 18 4.99 + 4.39 135 +266.52 +278.36 +12.95 180 - 2.25 i " +379.29 0.00 16 TABLE IV. Continued. I'KKiTKUATIoNS OF Till: CIM. lililXATKS IN 1XITS OK 'I'lIK SIXTH DKC1MAI.. Ternn inultijilicit with t. Argiinn-iit = .V. Arg. i Our * 11, If. Diir. Arg. Diir. "' Diir. Ditr. o o 180 - - -f ^T'.'.'.':' 0.00 ' 979.87 +2d0.37 i _'.. >.-, 1-1 " -0.03 i -0.95 896 977.99 -5.05 976.99 -0.69 I.VI7 '" 0.13 .'.'7 939.90 4.98 971.59 1.41 ,, 4.55 i-t 91.63 378.93 - O.'.i:, 998 986.97 13.64 l-l 0.46 878.61 u.:n 0.94 -'J.i 939.07 144 0.4:1 897.46 j:>7 i;i 1.7S i-<; 6.45 877.66 0.53 1.- 1 931 809.17 4.71 959.81 4.80 1 l.-> i 187 17.11 877.04 0.63 0.94 -' ;,' 4.64 947.99 4.89 188 :i7ii.-ti 0.73 .) j;j :tn.:ts 348.95 I.T. 189 0.83 '.'.-I -'.'.4 316.87 4.H 14.01 6.41 0.93 4.41 8.13 190 -Tit 0.93 ' !"> -390.98 -"'!' 77 I'M 7:1.11. -* :!7:i..v> - 1.03 894.61 -4.33 '; :.:> - Ml 6.39 :IT-.'.I-.' .11 :i :; 987 4.96 999.98 15.48 6.37 .33 4.17 .*..;i ; 194 " .33 0.93 936 j 19 333.04 4.10 916.89 ,' ll.ll 8.49 0.54 6.33 . 940 :t i u .-i 4.01 16.09 mi.-i *' 30 :!r,ii.:u .53 0.91 941 ;{(.- |,7 :i. '.<-.' 990.39 5.60 0.50 iii.i-j *" .63 949 3&9I 3.84 196.63 5.67 .73 3.75 ."..7 1 198 1 1 * .:'.* itoi'i..-,! 943 359.66 188.91 n ;.:>.' 193.64 861.71 .63 .Ml :t.^;.:i-j 3.66 183.10 6.93 1.99 0.90 :I.;,T :..-'! ii. i:. 800 846 -360^9 + 177.-.'! 881 6.19 9.03 6.49 946 -3.48 n; '17 1 .' 3fi6.66 3.13 \ Wt -- - 3.38 hi.-..-.'l i;.nj ii. n - ; i !-.:r, '" 948 :!7n D.I Ml 159.16 6.09 884 . : i-.i.n. '" 6.07 6.04 851.19 3.31 9.41 9.61 7.87 0.87 -.'.'I 24!) 950 951 376.3S 379.31 3.19 3.09 3.99 9.90 153.00 1 IH..-.1 134.17 (i.i:. 5.91 i, _- 6.34 17.38 0.37 IT.T:. ."- 17- l-l : 9.71 963 J.M 384.93 9.78 197.78 6.39 0.45 0.39 i 9.90 3.58 C.5I .'II 819 818 IT 1:1 '- M 816.74 819.16 ''< '.-.' -3.00 3.09 3.19 3.98 1.48 Ml - 0.83 9.91 0.80 10.71 966 889 861 399.79 396.09 899.48 4014H 403.44 106.98 - >. i; Ml 3.14 9.04 1.93 1.81 1.69 II t.--> 108:96 I'M. i.l 94.97 98.96 81.48 : 1.66 Ml 6.77 6.83 6.86 6.91 18.07 0.38 is.:!.-, 0.33 18.581 0.17 Ml n. I- 884 1.58 68.94 6.95 18.76 5.41 i 0.75 1.46 . n 8M .-.-. 71 -"" .- i 17 -3.93 4.03 4.11 H.'.'l -4.99 -0.79 -19.95 888 ,v.r, 970 419.56 118.66 414.64 -II. -,.:, I - 1.35 1.93 1.11 0.98 -0.87 f iii.'.i:, 39.93 18.66 + 11.51 o.w -7.09 7.06 7.09 -7.15 0.19 i- -; -0.07 17 KUlfiyEHsiTyj TABLE IV. Continued. ^^FJ^^^ PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. Terms multiplied with t. Argument = M. Arg. cl Diff. '/ Diff. P Diff. Arg. tt 3 Diff. '/ Diff. ? Diff. o 270 -415.51 + 11.51 - 18.94 315 -318.07 -303.11 - 13.83 271 416.25 - 0.74 + 4.33 -7.18 -0.02 316 313.53 + 5.14 309.00 -5.89 + 0.72 0.61 7.21 5.26 5.81 272 416.86 - 2.88 317 308.27 314.81 273 417.34 0.48 10.11 7.23 18.90 318 302.89 5.38 320.52 5.71 13.11 274 417.70 0.36 17.36 7.25 + 0.03 319 297.40 5.49 320.13 5.61 0.76 275 417.94 0.24 24.63 7.27 320 291.80 5.60 331.65 5.52 0.10 7.29 5.71 5.41 276 418.04 31.92 18.93 321 280.09 337.06 12.35 277 418.02 + 0.02 39.22 . 7.30 0.08. 322 280.27 5.S2 342.37 5.31 0.80 0.16 7.32 5.93 5.21 278 417.86 46.54 323 274.34 347.58 0.28 7.33 6.03 5.10 279 417.58 53.87 18.85 324 268.31 352.68 11.55 0.42 7.33 6.13 4.98 280 ^417.16 - 61.20 0.14 325 -202.18 -357.66 0.83 281 416.62 + 0.54 68.54 -7.34 326 255.94 + 6.24 302.54 4.88 0.68 7.35 6.34 4.76 282 415.94 75.89 18.71 327 249.00 367.30 10.72 283 415.13 0.81 83.23 7.34 328 243.17 6.43 371.94 4.64 0.87 284 414.19 0.94 90.58 7.35 0.19 329 236.64 6.53 370.47 4.53 .08 7.33 6.63 4.41 285 413.11 97.91 18.52 330 230.01 380.88 9.85 .21 7.32 6.72 4.28 286 411.90 105.23 m 331 223.29 385.16 0.90 .35 7.33 6.81 4.15 287 410.55 112.56 0.95 332 216.48 389.31 .48 7.31 I 6.88 4.02 288 409.07 119.87 18.27 333 209.60 393.33 8.95 289 407.45 .62 127.16 7.29 334 202.03 6.97 397.22 3.89 1.75 7.28 0.29 7,05 3.77 0.92 290 -405.70 -134.44 335 -195.58 -400.99 291 403.81 + 1.89 141.70 -7.26 17.98 336 188.40 + 7.12 404.02 - 3.63 8.03 292 401.79 2.02 148.94 7.24 0.35 337 181.20 7.20 408.11 3.49 0.95 2.15 7.2*2 7.27 3.36 293 399.64 156.16 338 173.99 411.47 294 397.35 2.29 163.34 7 ' 8 17.03 339 106.65 7.34 414.08 3.21 7.08 235 394.93 2.42 170.49 5 0.40 340 159.25 6.40 417.75 3.07 0.97 296 392.37 2.56 177.62 341 151.78 7.47 420.09 2.94 297 389.07 2.70 184.71 17.23 342 144.24 7.54 ' 423.48 2.79 0.11 298 386.84 2.83 191.76 I'" 5 1 343 136.65 7.59 426.12 S ' 64 0.99 i 299 383.88 2.96 198.77 '' OI 0.45 344 129.00 7.65 428.62 2.50 ; 3.09 C.97 7.63 2.36 300 -380.79 -205.74 16.78 I!!') -121.31 -430.98 5.12 301 377.56 + 3.23 212.66 ~ 6 ' 92 0.50 340 113.58 + 7 ' 73 O Ol 433.19 1.00 3.37 fi 87 7 7ft on, 302- 374.19 o rA 219.53 . 347 105.80 435.24 "" 303 370.69 J.OU 220.35 8 ~* 10.28 348 97.97 7 ' 83 437.14 1-90 4.18 304 367.06 3.63 233.11 0.54 349 90.11 7-SG 438.89 1.75 1.02 305 303.30 3.76 239.81 350 82.21 7 ' 9 440.49 1.60 300 359.41 3.89 240.40 ' 6J 15.74 351 74.28 , '' 93 441.93 M ' 4.02 fi r >8 - Qfi 307 355.39 253.04 6 '" 8 0.59 353 66.32 i " 96 443.22 i Ka9 1.03 308 351.21 4.15 259.55 6 " r>1 353 - qo 58.33 444.:;,; l A g l 309 346.90 *'" 200.00 i C - 45 15.15 354 50.33 8 ' 00 2.07 4.40 6.37 8.02 0.82 310 -342.50 ; -272.37 ; 0.64 355 - 42.31 -446.18 1.03 311 338.03 i + 278.08 i ~ 6 ' 31 350 34.27 ; + S ' 4 440.83 -' C7 312 333.38 ! *'" 284.91 11.51 357 26.21 i 8 ' 6 447.31 1.0-1 313 328.00! 4 '' 8 1 Ml 291.00 j 6 ' 15 + 0.68 358 18.15 447.09 i + 1.04 314 323.69 297.13 B ' 7 359 10.08 i 8 ' ? 447.89 ' 2 315 -318.67 + 5.02 -303.11 - 13.83 300 - 2.01 -447.93 - ' 04 0.00 i II- 18 TABLE IV .Continued. I'KHTI KI'.ATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. ARGUMENT I. Ar,. ' Diff nr. C 1 Diff. Arg. f Diff. / Diff. f Diff. o o 1 - 7 +10 + n 45 46 +603 etc +13 + 74 63 -is + 10 8 us 5 1 47 089 13 48 14 3 214 43 10 11 48 649 13 34 14 10 4 210 33 ,0 49 i .1 13 19 15 881 11 50 665 11 + 3 16 1 . V U 10 11 51 678 11 - 14 17 10 7 1 i 1 - 1 11 52 687 11 31 17 8 203 1 + 10 11 53 G97 10 49 18 9 804 + 1 20 n 54 706 9 67 18 10 1 n 8 19 10 +205 + 31 66 +714 + 86 11 207 f a 41 +10 56 728 + 8 106 -20 U 310 3 68 11 11 57 729 7 126 20 10 13 213 3 n 10 58 735 6 147 21 14 BU I 78 10 59 740 5 168 15 223 1 81 9 10 60 7-ir> 5 189 21 10 16 91 10 61 74'J 4 211 22 17 .' : . 7 100 9 62 768 3 233 23 1- 244 8 lu- 8 10 63 7.M 2 856 23 10 19 888 8 ll! 8 64 755 + 1 278 22 9 7 23 30 +261 +123 65 +7.V> -301 21 271 130 + 7 10 66 7.M - 1 384 -23 9 22 381 10 137 7 67 753 1 348 94 33 ., ,.: 11 143 C 68 750 3 23 24 :. '. 1 1 148 & 10 69 74G 4 804 2:1 9 88 Hf 188 4 70 7 I'.' 4 417 23 26 328 13 13 186 4 71 737 5 111 24 37 :: 1 1 159 3 10 72 731 6 23 8 -'- 162 3 73 ' 7-.M 7 y - 23 ." :: - 11 161 1 71 716 8 510 M + 1 9 22 30 31 08 396 + H IP +164 164 11 7.-, 76 +707 G97 -10 -5H3 566 -S3 8 32 411 i.i u 1 .77 687 10 r.77 22 168 1 11 78 676 11 609 ... 7 3 663 13 21 4.V, i 3 90 650 13 en H 16 4 11 81 14 668 21 7 37 i , 147 -. 14 20 '- i - Ml 6 83 GOG M 702 90 1 .1 7 10 84 590 16 7'JI 10 6 15 M 17 19 40 + 1 <, -t :,7:t -711) 41 | * 117 9 fkV. -17 -18 I ; 9 in 10 87 18 77T, 17 f, 14 - lo 88 519 : i 709 17 44 45 -.'' H + 74 -U + 10 89 90 500 * l-i It -90 808 -.'1 16 -16 + 5 19 TABLE IV. Continued. PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. ARGUMENT I. Arg. el Diff. ,/ Diff. f ' Diff. Arg. f Diff. 5' Diff. ' Diff. o 90 91 +480 460 -20 -824 838 -14 + 5 135 136 -484 499 -15 -782 769 +13 -7 21 14 ]4 13 92 439 852 137 513 ia 756 11 93 418 21 866 14 4 138 526 lo 743 Jo 8 22 13 13 14 94 396 879 139 539 729 oo 12 13 14 95 374 891 140 552 715 96 351 23 902 11 3 141 564 12 702 13 <) 23 10 11 14 97 328 912 142 575 688 98 305 23 921 9 143 586 11 674 14 23 j [ 14 99 282 930 3 144 597 660 9 24 8 10 14 100 101 +258 234 -24 -938 945 - 7 145 146 -607 617 -10 -646 C32 +14 102 210 24 952 7 2 147 626 9 618 14 10 103 186 24 957 5 148 635 9 604 14 24 5 9 14 104 162 962 149 644 590 24 4 g 14 105 138 966 + 1 150 C52 576 10 24 3 Q 14 106 114 969 151 660 562 25 3 7 14 107 89 972 152 667 5-48 24 i 7 14 108 65 973 * 153 674 534 11 109 41 24 974 - 1 154 681 7 520 14 24 7 13 110 + 17 -974 155 -688 -507 24 Q 6 +14 111 - 7 974 -1 156 694 493 12 24 + 1 6 13 112 31 973 157 700 480 23 2 g 14 113 54 971 158 706 466 114 77 23 968 3 1 159 711 5 453 13 12 115 100 23 964 4 160 716 5 440 13 116 123 23 960 4 161 721 5 427 13 117 146 23 955 5 1C2 72G 5 414 13 13 118 168 950 5 2 163 730 4 401 13 22 g 4 12 119 190 944 161 734 389 22 7 5 13 120 -212 -937 3 165 -739 -376 13 121 233 " 930 + 7 166 743 : ~ 4 364 +12 122 254 922 8 167 746 3 352 12 123 . 274 914 8 4 168 750 * 340 12 J3 124 294 ~u 905 9 169 754 4 328 12 125 314 20 896 9 170 758 4 316 12 19 10 Q 12 126 333 886 5 171 761 304 14 19 in Q 12 127 352 876 i 172 764 292 128 370 18 865 11 173 768 4 280 12 129 388 854 11 6 174 771 3 269 11 14 17 11 3 12 130 -405 -843 . 175 -774 -257 131 422 17 831 +12 176 778 -4 246 +11 132 438 1U 819 12 6 177 781 3 234 12 14 133 454 If 807 12 178 784 3 223 11 134 469 15 795 12 179 787 3 212 11 135 -484 - 15 -782 +13 -7 180 -790 -3 -200 +12 -14 20 TABLE I V. Continued. PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. ARGUMENT I. Ar. f Diff. Diff. f Diff. Arg. f Diff. * Diff. c* Diff. e o 1- 181 -790 7U3 -3 -200 i- > +11 -14 225 HI -839 - .;.: + 6 +466 484 +19 -13 M 796 3 178 ll H7 6 504 90 183 799 3 166 13 15 Ml 820 7 524 90 13 184 3 IM 11 m 812 8 20 Iff 805 3 143 19 230 804 8 564 90 \-\ 4 132 11 U ',':il 795 9 584 20 12 187 Ml 3 120 19 :>: 786 9 604 90 I-- 815 3 109 11 233 776 10 19 189 818 3 97 19 15 IM 765 11 643 90 12 3 19 11 90 190 191 --.'I M -3 - 85 73 +19 235 236 -754 742 +12 +663 683 +20 r.2 -J7 3 Cl 19 15 237 729 13 702 19 n 193 830 49 19 238 716 13 rai 20 194 633 36 13 239 702 14 741 19 3 24 19 15 240 687 IS 760 19 10 196 - : i - 11 13 Ml 672 15 779 19 197 842 3 + 2 13 242 G5G 16 797 18 198 Mi 3 16 14 15 Ml 17 815 ,8 10 199 847 89 Jii V 17 833 18 3 14 18 18 200 201 Ml j i -850 Ml MI -,.., -3 9 3 9 + 43 57 71 +14 14 14 14 15 15 245 Ml JI7 Ml Ml -604 585 565 545 Ml +19 90 90 90 +851 863 -1 900 916 +17 16 16 16 9 a M IM 503 99 :i:u 15. 1 : -.., -J 1 130 ; 145 '* 161 15 Ml m 481 459 4:!0 99 93 946 960 15 14 13 7 - - : 177 .-.-.I 412 94 n 210 211 -, , 1 -1 1C ; +' 15 Ml -388 303 94 fin-* lllll'.l is + 19 6 212 -,,, 9i 1019 10 -.,, U Ml 96 in-.".) 10 5 .II -.' 41 HI 1036 9 - : 1 1 Ml 14 M ' m 97 97 1040 8 7 4 '.'17 Ml 97 7 - i i tii " 178 27 1000 HIM; " 19 14 ,-t.i 150 1071 3 3 It M n M -j -,. Ml 43 4 4 . M 1* . 14 M Ml -122 M +99 + 1(174 1(177 I07H 3 + 3 9 2 M -i- -ii 4 44 Iff . . , .- 8 ..., ton 1081 1 . ! . -^^ _^^____ - -13 270 + 21 +99 - 1 - 1 21 TABLE IV. Continued. PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. ARGUMENT I. Arg. b Diff. ,/ Diff. f Diff. Arg. f Diff. ,/ Diff. * Diff. \ O o 270 + 31 +1080 - 1 315 +778 +259 +10 271 50 +3U io/a - 2 316 " 774 4 235 -24 29 3 5 23 272 79 1075 317 769 212 273 107 28 1071 4 318 764 5 189 23 10 29 5 7 23 274 136 1066 319 757 166 28 5 7 22 275 164 1061 320 750 144 29 7 g 21 276 193 1054 + 1 321 742 123 10 28 g g SI 277 221 1046 322 733 102 28 10 20 278 249 1038 ' 323 723 82 27 10 10 19 279 276 1028 2 324 713 63 11 27 11 11 19 280 +303 +1017 325 +702 $ 44 281 330 +27 1006 -11 326 690 -12 26 -18 26 ]3 12 17 282 356 -993 3 327 678 + 9 11 26 13 13 16 283 382 980 328 665 - 7 25 14 14 16 284 407 966 329 651 23 25 15 14 14 285 432 951 4 330 637 37 11 24 16 14 14 286 456 935 331 623 51 24 17 15 13 287 480 918 332 608 64 23 18 15 12 288 503 900 4 333 593 76 11 OQ 18 15 11 289 525 882 334 578 87 21 19 16 10 290 +546 + 863 335 +562 - 97 291 567 +21 843 -20 5 336 547 15 106 9 11 20 21 16 g 292 587 822 337 531 114 19 21 16 8 293 606 801 338 515 122 18 22 16 6 294 624 779 6 339 499 128 11 17 22 16 6 295 641 757 340 483 134 17 23 16 4 296 658 734 341 467 138 15 23 16 4 2i>7 673 711 7 342 451 142 11 * 14 24 16 3 298 687 687 343 435 145 299 701 14 663 24 344 419 16 146 1 13 24 15 - 1 300 +714 +639 . , 7 345 +404 +147 11 301 725 + 11 614- -25 . 346 389 -15 147 11 26 15 + 1 302 736 588 347 374 146 303 745 9 g 563 25 25 8 348 360 14 14 145 1 3 11 304 753 538 349 346 142 305 761 8 512 20 350 333 13 139 3 c 26 13 4 306 767 j 486 9 351 320 135 11 307 772 5 5 460 26 25 352 307 13 12 130 5 5 308 777 435 353 295 125 309 780 3 409 26 9 354 284 11 119 6 11 2 25 11 7 310 311 +782 783 .+ 1 +384 35S -26 355 356 +273 263 -10 -112 105 + 7 312 783 . 333 25 10 357 254 9 98 11 313 783 308 25 358 246 8 90 8 314 781 - 2 283 25 359 238 8 81 9 315 +778 - 3 +259 -24 +10 360 +231 7 - 72 + 9 +u 22 TABLE I V . Co n tinned. PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. AR(.i Mi:vr n. Arg f Diff. Diff. P Diff. Arg. Diff n' Diff C Diff. o o 1 -" 856 - -360 344 +18 +39 45 46 -850 844 + 6 +397 413 +16 +26 B - .- 8 337 17 47 837 7 428 H 1 868 311 18 29 48 830 7 4-12 14 M 4 873 5 BM 17 49 823 7 457 15 5 878 A V77 17 50 815 8 471 14 6 5 MO 17 30 r.i 808 7 486 15 7 887 Jl:l 17 800 8 500 14 8 891 4 MO 17 53 791 9 ol-l 14 1 4 309 17 30 M 783 8 13 22 4 17 9 14 10 11 903 -Ul 17:, +17 55 50 -77-1 703 + 9 +541 +13 u 13 906 909 3 158 140 17 18 31 57 58 750 747 9 9 507 580 13 13 21 14 911 133 17 59 737 10 603 13 II 16 913 915 105 88 18 17 31 GO 01 7 -.'7 717 10 10 605 017 13 13 19 17 917 . 71 17 * 02 707 10 13 18 19 930 i 53 30 18 17 31 63 04 686 10 11 041 an 13 11 18 80 n 23 34 +931 931 BM i -1 +1 - J8 - 1 + 16 j 68 18 +17 17 18 17 17 31 31 M M n -G75 664 an 641 629 617 11 +11 11 13 13 13 +063 C7I 086 706 11 +11 11 11 10 10 1C 1C 87 21 MB BIB 1 1 86 1 120 1:17 18 17 17 30 71 7:: 74 :.-! BM 13 19 13 13 796 7ir, 754 10 9 10 9 13 1 17 30 -Ml + IM 0. - ... 13 .- : 34 BM :".-. . +8 3 3 1 171 IM MB +17 17 17 17 39 M 7 - BM BU + 13 13 U 13 771 7-7 + 9 8 8 12 10 . I -., ... 18 - ) i- i 14 14 796 ; 37 4 18 ' - 1 17.> J4 - 6 16 M Ml BIO ' 1 18 16 -i -117 CM M 14 7 6 7 40 -:- +'iri 14 6 41 43 43 -,.- +5 i 1 n :u,7 16 16 27 87 -419 405 BM +14 U II .-n -17 + 6 6 " * M 11 :i7.i 14 j 43 _ +96 > . - *' 1 1 414 '-I.I + 4 + 4 23 TABLE IN. Continued. PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. ARGUMENT II. Arg. ' Diff. I 1 Diff. * Diff. Arg. f Diff. i' Diff. * Diff. O O 90 -346 +861 + 4 135 +356 +802 -12 91 331 +15 866 +5 136 371 +15 795 + 7 15 4 14 7 92 316 870 137 385 788 15 4 14 7 93 301 874 2 138 399 781 13 94 285 16 878 4 139 414 15 774 7 15 3 14 g 95 270 881 140 428 766 15 3 14 g 96 255 884 + 1 141 442 758 14 97 239 16 887 3 142 456 14 750 8 15 2 13 g 98 224 889 143 469 742 1A 2 14 g 99 208 891 - 1 144 483 734 U 16 2 13 9 100 -192 +893 145 +496 +725 101 177 +15 895 +2 146 510 +14 717 - 8 16 2 13 9 102 161 897 2 147 523 708 14 103 145 16 898 1 148 536 13 699 9 IG 1 12 10 104 129 899 149 548 689 16 a 13 9 105 113 899 3 150 561 680 15 106 97 16 900 +1 151 573 12 670 10 1 R o 13 9 107 81 JO 900 152 586 661 15 i 12 10 108 66 899 4 153 598 651 15 16 o 12 10 109 50 899 154 610 641 16 l 12 11 110 - 34 898 155 +622 +630 111 18 +16 897 -i 6 156 633 +11 620 -10 16 16 i 11 11 112 - 2 896 157 644 609 16 i 12 10 113 + 14 895 158 656 599 16 2 11 11 114 30 893 7 159 667 588 16 16 O 10 11 i 15 46 891 160 677 577 110 62 16 889 2 161 688 11 565 12 16 3 10 11 117 78 886 8 162 698 554 16 16 2 10 11 118 94. 884 163 708 543 16 3 10 12 119 110 881 164 718 531 16 3 10 12 120 +126 +878 9 165 +728 +519 16 121 142 + 16 874 -4 .166 737 + 9 508 11 122 157 15 871 3 107 746 9 496 12 123 173 16 867 4 9 168 755 9 484 12 17 124 189 16 863 4 169 764 9 471 13 185 204 15 858 5 170 77'3 9 459 12 126 330 16 854 4 10 171 781 8 447 12 17 127 235 15 849 5 172 789 8 434 13 128 251 16 844 173 797 8 422 12 139 266 15 838 11 174 804 7 409 13 17 15 5 8 13 130 +281 +833 ; 175 +812 +396 131 296 +15 827 -6 176 819 + 7 383 13 132 311 15 821 6 12 177 826 7 370 13 17 133 326 15 815 6 178 832 6 357 13 134 341 15 809 6 179 838 6 343 14 135 +356 +15 +802 7 -12 180 +844 + 6 +330 13 -17 24 TABLE IV. Continued. PERTl KliATIONS OF TIIF. CO-ORDINATES IX UNITS OF THE SIXTH DECIMAL. ARGUMENT II. Ar, . Diff <' Diff. 9 Diff. Arg. t Diff. Diir. i' Dill". 180 +844 -1-330 -17 o -i -!!-, -20 181 850 +6 31G 14 996 833 7 -14 Ifl9 13 997 B97 6 343 14 861 6 14 1- 99B 820 7 14 20 184 999 813 7 871 14 186 14 230 800 7 14 875 14 18 931 790 7 899 14 90 1-7 23g 791 8 413 14 188 884 4 H 14 933 8 42G 13 189 -r j 1- 234 77:, 8 440 14 20 4 14 9 13 190 191 +891 894 +3 4-199 17- -14 +798 758 - 8 -463 4G7 -14 - 'T |64 18 237 749 480 90 193 899 149 938 740 9 493 13 194 136 930 731 9 50G 994 ttl I- 240 721 10 519 13 20 196 .I, Mr, 941 712 9 539 13 907 242 70-2 10 12 .VI 1 1 - | - 19 243 699 10 557 90 199 ,,, 63 944 11 11 ..,,, M +910 910 911 1 -fl 34 n li -14 15 19 946 946 247 +G71 GGO 649 10 -11 11 -581 593 606 13 -n 19 .' : 1111 ; + 4 1 1 94S 11 617 '.' ! 906 1 : j .,., m i 904 1 1 1 - 10 54 14 14 I'.i in 949 -''.I 969 953 11 616 i;o:i 11 ,3 640 663 674 ('-:, n n n n 19 10 -j 15 - 211 900 - >i II:! 149 -13 14 II II 19 956 13 .-,17 706 716 7 '-'t i n -10 10 10 (8 - '! ... 4 - ' 171 186 II 14 l.'p in I'M ' 3 -.77 464 I 1 736 74.i 755 7;r, 10 17 4 II './(>.! 11 771 1 16 m m . ' , -U 14 997 14 M -7:n - 1 1 n; M -1 ^ .^-^_ 301 ^ ^ ^ ^ M -14 -90 1 MI . i i - BIO .i 8 - 7 -16 25 TABLE IV .Continued. PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. ARGUMENT II. Arg. f Diff. '/ Diff. f Diff. Arg. f Diff. ' Diff. n Diff. o o 270 271 +351 337 -14 -831 839 -8 -15 315 316 -346 360 -14 -884 878 +6 + 7 272 322 15 846 7 317 375 15 872 6 27? 307 15 853 7 14 318 390 15 866 6 9 274 292 15 859 6 319 404 14 859 7 275 277 15 866 7 320 419 15 852 7 276 262 15 872 6 13 321 433 14 845 7 10 277 247 15 877 5 322 447 14 837 8 278 234 15 883 6 323 461 14 829 8 279 216 16 888 5 12 324 475 14 821 8 12 15 5 13 8 280 281 +201 186 -15 -893 898 -5 325 326 -488 502 -14 -813 804 +9 282 170 16 903 5 10 327 516 ' 14 795 9 14 283 154 16 907 4 328 529 13 786 9 284 139 15 911 4 329 542 13 776 10 285 123 16 914 3 9 330 555 1 1 766 10 ift 16 286 107 16 918' 4 331 568 lo 756 1U 287 92 15 921 3 332 580 12 745 11 16 3 13 10 288 76 924 8 333 593 735 17 289 00 16 926 2 334 605 12 724 11 16 2 12 12 290 + 44 -928 335 -G17 -712 291 28 -16 930 -2 6 336 629 -12 701 +11 19 15 12 12 292 + 13 932 337 641 689 293 - 3 16 933 1 338 652 11 677 12 294 19 16 934 1 5 339 664 12 665 12 20 16 1 11 13 295 35 935 340 675 652 296 51 16 9I!5 341 686 11 640 12 16 10 13 297 67 935 3 342 696 627 22 298 82 15 935 343 707 11 614 13 16 Q 10 14 299 98 935 344 717 600 16 +1 10 13 300 -114 -934 - 2 345 -727 -587 23 301 130 -16 933 +1 346 737 -10 573 +14 16 2 10 14 302 146 931 347 747 539 303 161 15 930 1 348 756 9 544 15 25 Ifi 2 9 14 304 177 928 349 765 530 305 193 16 925 3 350 774 9 515 15 15 Q 9 14 306 208 923 + 2 351 783 501 26 307 224 16 920 3 352 791 8 486 15 308 239 15 916 4 353 799 8 470 16 309 255 16 913 3 3 354 807 8 455 15 27 15 4 8 15 310 -270 -909 355 -815 -440 +5 g +16 311 285 904 356 823 424 312 301 16 900 4 5 357 830 7 408 16 28 15 5 7 16 313 316 895 358 837 392 314 331 15 890 5 359 843 6 376 16 315 -346 -15 +884 +6 + 7 360 -850 -360 +16 +29 H- 26 TABLE IV .Continued. PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. ARGUMENT III. Arg f Diff. Diff. C Diff. Arg. f Diff. *' Diff. 9 Diff. o +312 - 84 - 2 o 45 + 28 4476 1 316 ' + 4 72 +19 46 17 -11 - l 3 19 n O 2 319 60 47 + 6 J7-.' 3 :i->-j 3 47 13 48 - 5 ll 270 2 * 19 11 3 4 324 H 49 16 267 | 5 1 23 19 50 27 ll 264 3 - i 6 HI 1 - 11 19 51 38 11 261 3 7 :;_: + 1 + 2 13 52 48 10 257 4 IS 10 A 8 '"','7 14 53 58 253 9 M 1 27 13 54 68 10 248 5 1 19 9 5 10 +325 + 39 2 55 - 77 +243 11 HI - 9 51 +19 56 87 -10 238 ^ 5 12 321 9 63 19 57 96 9 232 6 13 318 3 75 19 58 104 8 226 6 14 314 4 87 19 59 113 7 220 C 15 311 3 99 19 GO It! 8 213 7 i 16 306 5 110 11 Gl 128 7 206 7 17 301 6 121 11 62 135 7 199 7 18 296 132 11 63 142 7 192 7 19 290 6 143 11 64 149 7 184 8 7 10 6 7 30 21 m 276 - 7 +153 163 +10 2 H 66 -155 161 - 6 +177 169 - 8 22 7 173 1 67 166 5 161 8 23 261 182 68 171 & 153 8 94 253 I'M 69 17G 5 144 9 H 245 200 9 70 180 * 136 8 i 236 208 8 71 183 3 128 8 R) 9 10 KM 8 7 72 187 4 119 9 H 217 '.'.' I 73 190 111 8 H HI 10 230 7 74 . 192 9 102 9 10 6 9 8 30 10 MM 2 ::. -I'.U + ''I 31 187 242 n IM - 9 86 - 8 32 191 10 Jl- 77 198 9 77 9 33 166 .'" : 78 IM - 1 GO 8 34 IM n 79 IM n 8 :;-, 143 HI 80 IM 8 2 H 11 HI 81 |T, 45 8 37 121 19 HI -j 37 8 109 II -'71 83 IM + 1 H 8 39 98 273 84 191 1 22 7 19 9 1 8 40 . -,. 11 - 1 -;, -196 + 14 41 * ' -f, r.'i + 9 + 7 - 7 42 -7 IM 9 7 43 :.i > i- . 3 - G 6 44 40 19 -'.i 187 9 13 7 1.', n I l-l + 3 - in - 6 - 2 27 TABLE IV. Continued. PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. ARGUMENT III. Arg. f Diff. *' Diff. P Diff. Arg. Diff. Diff. * Diff. 90 -184 - 19 - 2 135 - 11 - 59 91 181 + 3 25 - 6 136 9 + 3 57 + 2 92 177 4 31 6 137 8 1 55 a 93 173 4 37 6 138 7 l 53 a 94 170 3 42 5 139 7 50 3 95 166 4 47 5 140 6 l 48 a 96 162 4 52 5 141 6 46 . a 5 5 .f. 1 \ 97 157 57 142 5 45 98 153 4 61 4 143 5 43 a 99 149 4 65 4 144 5 41 a 5 4 a 100 -144 - 69 2 145 5 - 39 101 140 + 4 72 n 146 5 38 + i 102 135 5 75 3 147 6 - 1 36 a 103 130 5 78 3 148 6 35 i 104 125 5 81 3 149 7 1 34 i 105 120 5 83 a 150 7 33 i + 1 106 115 5 85 a 151 8 1 32 i 107 no 5 87 a 152 8 31 i 108 105 8 88 i 153 9 1 31 109 100 5 90 a 154 10 I 30 i 5 i 110 - 95 - 91 2 155 - 10 - 30 111 90 + 5 92 i 156 11 - 1 29 + l 112 85 5 92 157 12 1 29 113 80 5 92 158 13 1 29 114 75 5 92 159 14 1 30 - 1 115 71 4 92 160 14 30 2 116 66 5 92 161 15 1 31 1 117 62 4 91 + 1 162 16 1 31 118 57 5 91 163 16 32 1 119 53 4 90 1 164 17 1 33 1 4 1 1 120 - 49 - 89 2 165 - 17 - 34 121 45 + 4 87 + 3 166 18 - 1 35 - 1 122 42 3 86 1 167 18 36 1 123 38 4 84 a 168 18 37 1 124 35 3 S3 i 169 19 - t 39 a 125 32 3 81 a 170 19 40 i 3 126 29 3 79 a 171 19 42 a 2 2 -f- 1 2 127 27 77 172 18 44 128 24 3 75 a 173 18 46 a 129 22 a 73 a 174 17 1 47 i 3 a 2 . 130 - 19 - 71 - 1 175 - 17 - 49 i 131 17 . + a 68 + 3 176 16 + 1 51 - a 132 15 a 66 a 177 15 1 53 a 133- 14 i 64 a 178 14 1 55 a 134 12 a 62 o 179 13 1 57 2 135 - 11 + i - 59 + 3 180 - 12 + 1 - 59 - i + 4 TABLE IV. Continued. PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. ARGUMENT III. Arg. C Diff. '/ Diff. f Diff. Arg. f Diff. "' Diff. f n, ir. o i- - 12 - 59 + 4 225 +117 181 10 + a 61 - a H6 118 + i + 6 + 6 I--J 8 a 63 9 227 118 11 5 I- : 6 65 a 228 118 17 6 184 4 66 v.'v!'. i 118 23 G I-:. - 2 68 .>:!(> 118 0. 29 6 + 3 i-.; 70 ; 231 117 - 1 o 35 6 6 187 + 2 71 839 147 41 188 5 3 73 a 233 116 1 47 6 189 7 1 71 i 234 114 2 53 6 3 i 2 G 190 + 10 - 75 5 235 +112 + 59 1 u .:. +3 76 ~~ 236 110 - 2 65 + 6 1 -.- 16 77 237 108 a 71 G 193 3 78 238 106 3 77 6 UM 3 7:i 239 102 3 83 6 196 26 80 240 99 3 89 G 2 196 29 o 24'l 95 4 94 5 197 33 M 242 n 4 100 6 198 36 o 243 87 4 105 5 199 40 1 4 N -.'II 82 5 110 5 4 + i 5 6 200 + 44 70 5 245 + 77 + 1 Hi + 3 o + 5 201 47 79 246 72 121 51 78 + i 247 66 6 126 5 M 4 77 1 248 61 5 130 4 204 4 76 i 249 55 6 135 5 205 74 a 250 48 7 tag 4 + 1 M 7'.' a 251 42 6 143 4 207 70 71 i 0M :tr, 7 146 3 n 74 1,1 a 863 28 " 150 4 209 77 66 3 254 21 7 153 3 4 3 7 3 -.'Hi + 81 - 63 4 KB + 14 + l.~>ii .'II 84 + 3 61 + a BM + 7 7 UH + 2 212 -- 4 58 3 - 1 8 160 a 21.1 91 3 54 we 8 7 9 214 94 3 51 \ 16 8 Kilt i ni 97 3 .7 260 24 8 164 i 210 100 3 43 : M 32 8 166 1 217 103 3 4 ._), ,._, 40 8 166 + i Jl- 105 1 4 .'r,:t 1- 8 166 219 108 3 30 164 8 MB - 1 1 5 9 M +110 H + 4 MB i;.i + 165 111 + 9 21 + 4 168 7:t - 8 163 2 113 1 16 4 m 81 8 UN 1 223 111 a 10 6 - 160 9 m II'-, i 5 !>7 1 m 9 :: +117 + i .'M 106 - 8 + I.V, - 3 29 TABLE IV . Continued. PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. ARGUMENT III. Arg. * Diff. ,' Diff. f Diff. Arg. * Diff. r/ Diff. v Diff. 270 -105 +155 o 315 -145 -209 271 113 - 8 152 316 136 + 9 217 - 8 272 121 8 149 317 127 9 224 7 273 129 8 145 318 117 10 230 6 274 136 7 141 4 319 107 10 237 7 275 144 8 136 . 5 320 97 10 242 5 - 1 276 151 7 131 5 321 87 10 248 6 277 158 7 126 5 322 76 11 253 5 278 165 7 120 323 65 11 258 5 279 172 ' 114 324 53 12 262 4 6 6 - 11 3 380 -178 +108 325 - 42 -265 261 184 - 6 101 - 7 326 30 +12 268 - 3 282 190 C 94 7 327 18 12 271 3 283 195 5 87 7 328 - 6 12 273 2 384 200 5 79 8 329 + 6 12 275 2 285 205 5 71 8 330 18 12 276 1 1 266 209 4 63 8 ;{;>( 31 13 277 - 1 287 213 4 55 8 332 43 12 277 286 217 4 46 n 333 55 12 276 + ! 289 220 3 37 9 334 68 13 275 1 3 9 12 1 290 -223 + 28 335 + 80 -274 291 226 - 3 18 -10 336 92 +12 272 + 2 292 228 2 + 9 9 337 105 13 269 3 1 10 12 3 293 229 1 338 117 . 266 294 230 1 10 9 339 129 12 262 4 235 231 - 1 20 10 340 141 12 253 4 2 296 231 30 10 341 152 11 253 5 297 231 40 10 342 164 12 248 5 298 230 + 1 50 10 343 175 11 242 6 299 229 1 61 11 344 186 11 236 6 2 10 11 6 300 -227 - 71 - 1 345 +197 -230 301 225 + 2 81 -10 346 208 +11 223 + 7 3 10 10 g 302 222 91 347 218 215 303 219 3 101 10 348 227 9 207 8 304 215 4 111 10 349 237 10 198 9 305 211 4 121 10 350 246 9 189 9 2 306 207 4 131 10 351 255 9 180 9 307 202 5 140 9 352 263 8 171 9 308 196 6 150 10 353 271 8 161 10 309 190 6 159 9 354 278 7 151 10 6 9 7 11 310 +184 -168 -1 355 +285 -140 + 7 g + 6 +11 311 177 177 356 291 129 312 170 7 185 8 357 297 6 118 11 313 162 8 194 9 358 302 5 107 11 314 154 8 202 8 359 307 5 95 12 315 -145 + 9 -209 7 360 +312 + 5 - 84 +11 - 2 30 TABLE IV. Continued. PEinTUMATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. ARGUMENT IV. . Arg. i' Diff. /' Diff. V Diff. Arg. f Diff. *' Diff. {' Diff. o -378 + 4 180 +376 + 85 - 4 5 884 * 52 +33 185 382 + 6 52 -33 10 887 - 3 - 1- ** 5 190 386 + 4 + Iri 34 5 15 387 + 16 34 198 386 - ir, 33 91 384 + 3 50 34 5 200 888 - 3 48 34 5 96 379 9 83 33 906 :i77 6 82 33 30 370 9 110 33 5 210 889 8 115 33 5 35 19 148 39 916 358 11 146 31 40 344 14 179 31 B 990 844 14 177 31 r 45 327 17 lOg 99 986 327 17 200 29 19 98 19 28 50 55 - MM 286 +236 +96 + 4 230 986 +308 287 -21 960 -26 -4 60 262 "I 24 4 940 963 24 984 24 4 iCIO 96 806 99 946 937 26 806 70 m 96 327 .'! 3 950 210 27 896 M . ( 179 844 ii 956 181 343 17 80 85 148 117 31 31 358 370 14 19 :! 980 986 160 118 31 32 368 360 IS 11 3 90 84 378 9 970 86 ft 378 9 9 H 51 384 -'7:, 53 33 385 7 34 + 3 34 3 100 105 - 17 + 1C +33 +387 + 1 280 986 + 1!) -34 388 i 110 116 120 MB 130 50 83 111! 147 17- 33 33 31 31 384 878 358 844 3 6 9 11 14 - 1 290 906 300 806 310 18 82 118 146 177 33 34 33 31 31 386 380 871 860 345 + 3 5 9 II IS 1) 4. 1 IX 140 145 207 234 97 327 19 998 " 2 816 890 896 -'(17 936 961 30 28 H 898 800 988 17 19 11 a 150 IM 160 17" 178 01 :r. . 19 17 14 18 + 8 236 180 148 117 . -". 94 -96 . 31 -w -:i :t 4 - 4 ii i .la.'.- --a 886 848 846 866 880 807 890 843 880 94 -99 19 17 15 11 - 9 ^rr =^ -464 938 910 l-i 150 118 -'. M +26 -'- M 32 :t 4 + i ^ ^ 31 TABLE IV .Continued. PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. ARGUMENT V. Arg. f Diff. ' Diff. c' Diff. Arg. f Diff. ',' Diff. f< Diff. -312 + 61 -0 +180 +344 - 74 + 6 5 310 oc I -26 So I 185 349 + 5 42 +32 10 317 + 9 26 6 190 352 + 3 - 10 32 6 15 317 - 18 27 195 351 - 1 + 22 32 20 315 i 44 26 6 200 348 3 54 32 6 25 310 1 70 26 205 341 7 86 32 30 304 95 25 5 210 331 10 116 30 5 35 296 o 120 25 215 319 12 146 30 40 285 11 145 25 5 220 304 15 174 28 5 45 273 12 169 225 286 18 200 26 14 22 20 25 50 55 -259 243 +16 -191 213 -4 230 235 +266 244 -22 +225 248 +23 + 4 CO 225 18 21 234 4 240 220 24 268 20 4 65 205 20 253 245 194 26 286 18 70 183 22 270 3 250 167 27 301 15 3 75 100 23 286 255 139 28 314 13 80 130 24 300 i 2 200 111 28 324 10 2 85 110 26 312 j 205 81 30 331 7 90 83 27 322 -1 270 51 30 335 4 + 1 95 55 28 329 275 + 21 30 337 + 2 28 5 29 - 1 100 - 27 | -334 280 - 8 +336 105 + 3 +30 337 3 285 37 -29 333 - 3 110 33 30 337 + 1 290 65 28 327 6 - 1 115 62 29 334 + 3 295 93 28 318 9 120 92 30 329 5 2 300 119 26 308 10 2 125 121 29 321 8 305 145 26 2<)5 13 130 150 29 310 11 3 310 169 24 280 15 3 135 178 28 296 14 315 191 22 264 16 140 204 26 280 16 4 320 212 21 246 18 4 145 229 25 261 19 325 231 19 227 19 24 21 17 21 150 +253 -240 + 4 330 -248 +206 - 4 155 274 +21 216 +24 335 264 -16 184 -22 160 293 19 191 25 5 340 277 13 160 24 5 105 310 17 104 27 345 289 12 137 23 170 324 14 135 29 5 350 299 10 112 25 5 30 7 25 175 335 105 355 306 87 180 +344 + 9 - 74 +31 + 6 360 -312 - 6 + 61 -26 - 5 32 TABLE IV. Continued. PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. ARGUMENT VI. Arg. r Diff. f Diff. C 1 Diff. Arg. f Diff. '/ Diff. {' Dill'. e . +110 + 3 + 4 ISII -114 + 3 -7 5 109 14 +11 185 114 (> : 10 107 9 Jl 10 4 1'JO 118 + i 14 " G 15 105 35 11 196 ill a 20 101 45 10 3 200 109 a j.) 9 G 96 54 9 886 107 a 40 30 91 63 3 Jio 103 4 48 G i k"' 85 TV.' 816 99 4 5C ! 40 78 80 3 220 94 M 5 45 70 87 888 88 71 8 e g _ 50 55 + C2 53 - 9 + 93 98 + 5 + 2 230 - 82 75 + 7 - 78 84 -5 60 44 103 + 1 840 68 7 80 4 65 34 107 846 CO e 1C, 70 25 110 250 52 8 100 8 15 11-' 866 43 9 mi 80 85 + 5 - 4 113 113 200 2G5 M 24 9 10 !ro 2 90 M 14 24 10 112 " 111 -1 270 876 14 - 4 10 10 in in - a - 1 100 105 110 118 120 m - 33 42 50 58 66 73 9 9 8 8 8 7 +108 105 m 96 88 87 3 - 3 3 4 1 6 -2 3 4 880 886 290 300 806 + G 1C BB 3C 46 10 +10 10 10 10 9 -in 110 108 105 101 9G + i a 3 4 5 + 1 130 135 140 145 80 6 6 97 ! * 81 68 60 6 7 8 5 o 810 816 886 84 72 80 87 9 8 8 90 83 /C 68 a 7 7 8 2 3 150 155 160 165 180 4 +101 105 -J 110 112 118 -114 ' 37 28 20 II ' :: ===== 7 - 8 9 8 9 - 8 ===== 6 6 6 -? ===== 848 866 SCO - + it:? 98 103 100 108 110 +110 = .^ 6 + 5 5 3 9 + 9 ===== - 59 49 39 29 19 + 3 9 + 10 10 10 10 11 +11 ===== + 3 3 4 + 4 . 33 TABLE IV. Continued. PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. ARGUMENT VII. Arg. f Diff. ,' Diff. f Diff. Arg. f Diff. f Diff. ? Diff. O + 92 -125 -30 180 - 94 +122 +30 5 93 + ' 10.2 +23 -3 185 95 - i 99 \ + 3 10 92 77 25 33 190 95 76 23 33 25 o 24 15 92 52 2 195 95 52 2 20 90 27 25 35 200 93 + 2 27 25 35 2 25 2 25 25 88 ; - 2 - 1 205 91 + 2 + 1 30 65 + 24 26 36 210 88 3 - 22 24 36 35 81 49 25 0, 215 85 3 47 25 4 25 24 40 77 74 36 220 80 71 36 4 24 5 24 45 73 98 225 75 95 5 23 + 1 5 23 -1 50 + 68 +121 -35 230 - 70 -118 +35 55 62 144 +23 3 235 64 + 6 141 -23 3 6 22 21 GO 56 166 32 240 57 162 32 7 20 7 20 65 49 166 3 245 50 182 3 70 42 7 205 29 250 43 ' 201 19 29 17 g 17 75 35 222 4 255 35 218 4 7 1 ^ g 15 80 28 237 25 260 27 233 25 85 20 8 250 13 5 265 19 247 14 5 a 11 n 10 90 12 261 20 270 10 a 259 20 10 g 10 95 + 4 271 275 - 2 263 : 8 8 6 9 8 6 100 - 4 +279 -14 280 + 7 -277 +14 105 12 - 8 284 + 5 6 285 15 + 8 283 I 6 110 20 8 267 3 8 290 23 8 287 8 115 28 8 288 + ' 6 295 31 8 289 6 7 U J_ 1 120 35 287 - 2 300 39 288 + 2 125 43 8 284 3 6 305 46 7 285 3 6 130 50 7 278 6 + 4 310 53 ' 280 5 - 4 135 56 6 270 8 6 315 59 6 273 7 6 7 in Q n 140 63 1 260 10 320 65 264 10 145 69 6 248 12 325 71 6 253 11 6 13 6 5 14 6 150 - 75 +235 | +16 330 - 76 I -239 -16 (55 so - 5 220 6 335 80 +4 224 + 15 6 160 84 4 203 17 22 340 64 207 17 22 3 18 1 18 1 <>."> 87 ; 185 5 345 87 189 3 170 90 165 20 27 350 89 169 20 27 175 93 3 144 21 + 3 355 91 148 21 -3 iso - 1)4 - 1 -22 +30 360 + 92 + 1 -125 +23 -30 [-1- 34 TABLE IV .Continued. 1T.K1 1 Ul'.AI loNS or THE CO-ORDINATES IN UNITS OF THE SIXT 1C1MAL. ARGUMENT VIII ARGUMENT 1\ Arg. Dill ,' Diff. ft Diff. Arg. f Diff. ,' Diff. > 1 In 110 14 18 111) g 91 II 180 i ~ 16 160 19 in Ml 10 19 19 100 n; n; 170 170 91 [i ITO 1!) i:i' + 1 1*0 180 -1 > in 1 . tin- Argument-. .\* i .iililr.i. 1 1-0, .ni.l r. i.-r-r lli.- .IRI, ml ;' 35 TABLE IV. Concluded.. PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. ARGUMENT XIII. ARGUMENT XVII. ARGUMENT XX. ARGUMENT XXIII. Arg. P if Arg. ? 180 subtract 180, and reverse the sign off, rj', and C'- 36 TAP.U-: v. LOGARITHMS FOR REFKKUINO TIIK PERTURBATIONS TO THE I (JCATOR. Mean Equinox of the beginning of the Year. Year. eo (i, x) coi (y, z) COB (Z, I) coi (z, y) coi (y, y) co (z, y) cos (z, z) cog (y, z) COB (Z, Z) HUB 9.998756 8.151278/1 8.870449 8.626197 9.963147 9.594 !>:. 8.796613n 9.596408 .'189 \ -:.: -755 8.158664n 8.870441 8.628476 9.963146 9JS94167I 'Hi/i 9.696407 9.9621! Hi 1858 9.998753 8.165956n 8.870 l:v.' 8.630743 '.i.'.iinui :i..v>4149n A66n 9.596406 9.969196 1859 9.998752 8.17309971 8.870424 --998 ii.'.M;:u43 !i..-.'.m:n -.7'M591n 9.596404 .'..H;*JOO 18601? -750 8.180155n 8.870415 8.635242 9.963141 9.594 11 3n n:,;( 9.596409 aoa 1861 9.998749 8.187069n 8.870407 8.637474 :i.'.;:u4o :!..v.i40!ifm 8.703-':!7/i 9^96401 9.962207 ISM 9.998747 8.193903n - -70398 *.<;:'JG96 '.t.!M!3138 :i..v.i4077 9.79956911 9.596399 9.968910 1863 9.996746 8.200604n 8.870389 8.641905 !.!Mi3i:i7 9.594059n B.791879n 16398 !i.'.M;2214 18MB -744 8.207230n 8.870380 8.644104 9.963135 9.594040/j 8.791 199n 9.596396 '.'.W2217 1886 9.998743 8.213730n 8.870:!7ii 8.64i 9.963134 I099H 8.7905 17n 9.596396 9.98999] 1881 9.998741 8.220 160n 8.8701!'.:! H.648467 9.9C3132 9.594004n 8.789835n 9.596393 9.969994 1867 9.998739 8.22647171 8.870354 8.650f,:i-, '.'.:i(;:}i30 MW8088H 8.789151n BJ88391 9489988 18685 9.998737 8.23271 7 H 8.870345 8.652788 !.!Mi31S8 BJS89967H 8.788466H 9.596389 !l.!Mi'31 186!) 9.998736 8.23884971 8.870337 8:654939 !i.'.M;:ti-.'7 9J93949H 8.787780n B.596388 1936 1870 9.9<>7:tl 8.24492071 8.870328 8.657066 ;i.'.wi:ti2r, '.i.."i'.i:i3iH -.7-7093H 9.696388 9.969938 1871 -732 8.25088371 8.870319 8.659188 !l.!IC,:tl23 !i.:.! i:t'.l|3;j -.7-1:40571 9.596384 9.989941 I879J9 9.998730 8.a567t;CH 8.870310 8.661301 9.9C:!I'.'I !I..V.i:t,-!HH 8.7857 II :/i 9.696389 !i.'.Ui-J->44 1873 IK 8.26257071 8.870302 3404 '.i.%:ui; 9.593^7 1; -.7.-50.T.74 9^96380 9.969948 1874 9.998726 8.268321 n 8.87(!-".':! W7 9.'.ii;:ui7 !i..V.I3858 8.784333/1 6378 9.969951 1875 -724 -.-,'7:i73;i 8.870284 8.667584 9.963115 !l.. r .;t3840 8.78414071 9.596376 9.989966 18710 -782 8.279r>'.i:t/i 8.870275 8.669661 !I.'.M;3113 :i.:.!i:W3in -,7-.".i4t;/i 9.596374 9.969958 1877 8.28510771 8.870266 8.671719 ;I.!M;:IIII !i..v.:wo3n -.7 -.'-:.< 7i 9.59(i:i7i 9.9B9969 1878 9.998718 8.29056971 8.870257 7S7B7 '.I.'.HKUOS BOS03785II 8.7815.V./1 !'.:.: 9.969966 l-7'.i 9718 8.296 160n 8.87024 < >.ii7.>l'.i ;I.:H;:UO- .i.r.:i:(7ii7;i 8.78085771 9JW888B 9J89968 I8B&B H.'.f.i-TI 1 8.301290n 8.870239 -.i;77-i,-^ :i.!;:{|(i4 !l..V.i:t74-;i 8.780i:.!i '.I..V ' 9.989971 1--I 9498719 8.306532n 8.8702:'.n 91079891 !i.!Mi:U02 !i..">'.i:t730;i 'ir.i/i 9.596364 9976 1869 -| -.:!i 1733/t 8.870-J-JI '.i;-i:no '.i.iMKllOO :i.r.'.i:!7l-JH -.77S748n 9.596369 9.989978 1883 :n- -.:in;-:.i;( 8.870212 8.683940 '.I.'.M;:III:I- :i..v.i:;i;!i.|;i 3.77805111 9.598360 :-.'-.' I --!/>' -706 BJU960H 8.870203 -.-I :i.!'.;:i(i'.i:. :'..7Kll!7.-.;i s.777353/1 :>.:> 9.969988 1885 T.OH 8.870194 8.687912 9.!K!3093 9.593657N -.7;^ 9.596354 9469989 I--,. 8.331918* 8.870185 8.68H.-.I.-. !>.:Mi:to:ii <.i.:.'.Kii;:i:i;i -.77.V.M:! 9J06354 9.96)1 I--7 -700 8.336800n 8.870176 8.691.-C.I :i.'." !t.r.!l3t;-JlH S.77.V.>3C,/i 9.596369 9.969996 !---/< 8.34 ! 8.870167 0894 9.988086 S609H B.774599H 9.596349 9469996 1 i 8.34643 In 8.870158 771 !i.:tt;:tn-i :i..vi:t:.-i B.773891JI 9.696341 9.969309 -.:!.M I7-/I - -Tiil-1'.l '7717 9.5935660 B.773119H 9.596346 9.969306 1891 '-691 8.355854n 8.870140 .;.-, i 1060 9.693648n 3.779401fl 9.696349 9468809 i - . /; 8.360499n 8.870130 8.701577 ;I..YI:I.-,:I;I 3.77169011 9.596340 !l.!Ki2312 '17671 8.C7III-J] 8.703493 53076 9.593519n 8.77097711 9.691 9.989316 18M BMfl -.-71111-.' 8.706409 9.963079 :i..v.:i4!4 3.770964fl 9.596336 9.969319 i- '-. -.n -.-THICKS -.7117:111-,' :i.:Mi:!ii7u :(..v.i:u:t;/ B.769549M 9.596334 9389 i- ./; - JTOOOa -.7(i:i|:M !i.'.M;:!nr,7 :>.:>:> 8.768834fi 9.606331 9.969396 1- '7 : 11077 !'. :i..v.i:u:;:.,, 3.768116D 16391 9.969399 i- - 'In . -.-7nu;.-, -.71 .':!.-,:! ;i. I'.'lH B.7W 9.596398 9.969339 I8M ,., 3.870066 -.7ii-r.t 1060 I403N -.:<: 9.596394 9.988336 -.-7ipn.-p<; -.7i;r.::i '.i.'.;:iii:,7 :I..Y':I.:-I/I 8.76 9.606391 {339 37 TABLE VI. CONSTANTS FOR THE EQUATOR. Equator and mean Equinox at the beginning of the Year. Year. # B< C< log sin a log siu b \ log sin r 18565 / II 90 48 50.1 o / // 2 38 7.2 / II 350 59 24.5 9.998801 9.963607 9.601800 1857 90 49 40.5 2 38 57.1 351 13.7 9.998801 9.9G3611 9.601782 1858 90 50 30.8 2 39 47.0 351 1 2.9 9.! 198801 9.963614 9.601764 1859 90 51 21.2 2 40 36.9 351 1 52.2 9.998801 9.9636 is 9.601746 18605 90 52 11.7 2 41 27.0 351 2 41.5 9.998801 9,963031 9.601728 1801 90 53 2.0 2 42 16.9 351 3 30.7 9.998801 9.963625 9.601710 1869 90 .->:! 52.4 2 43 6.8 351 4 19.0 9.998801 9.963628 9.601692 1863 90 54 42.7 2 43 56.7 351 5 8.2 9.998801 9.963631 9.601674 18045 90 55 33.2 2 44 46.7 351 5 58.6 9.998801 9.963634 9.601657 1865 90 56 23.5 2 45 36.6 351 6 47.9 9.998801 9.963638 9.601639 1866 90 57 13.9 2 46 26.5 351 7 37.2 9.998801 9.963641 9.601621 1867 90 58 4.2 2 47 16.4 351 8 26.5 9.998801 9.963844 9.601603 18685 90 58 54.7 2 48 6.4 351 9 15.9 9.998801 9.963647 9.6015-.-, I860 90 59 45.0 2 48 56.3 351 10 5.2 1 9.998801 9.963661 9.601567 1870 91 35.4 2 49 46.2 351 10 54.5 9.998801 9.963654 9.601549 J871 91 1 25.7 2 50 36.1 351 11 43.8 9.998802 9.903057 9.601531 18725 91 2 16.2 2 51 26.1 351 12 33.2 9.998802 9.963660 9.601514 1873 91 3 6.5 2 52 16.0 351 13 22.5 9.998802 9.963664 9.601496 1874 91 3 56.9 2 53 5.9 351 14 11.9 9.998802 9.963667 9.601478 1875 91 4 47.2 2 53 55.8 351 15 1.2 9.998802 9.963671 9.601460 18765 91 5 37.7 2 54 45.8 351 15 50.6 9.998802 9.963674 9.601442 1877 91 6 28.0 2 55 35.7 351 Mi 39.9 9.998802 9.963678 9.601424 1878 91 7 18.4 2 56 25.6 351 17 29.3 9.998802 9.963681 9.601406 1879 91 8 8.7 ' 2 57 15.5 351 18 18.6 9.998802 ".963684 9.601388 18805 91 8 59.2 2 58 5.5 351 19 8.1 9.998809 9.963687 9.601371 1881 91 9 49.5 2 58 55.4 351 19 57.5 9.998802 9.963691 9.601353 1882 91 10 39.9 2 59 45.3 351 20 46.8 9.998802 9.963694 9.601335 1883 91 11 30.2 3 35.2 351 21 36,2 9.998802 9.963697 9.601317 18845 91 12 20.7 3 1 25.2 351 22 25.7 9.998802 9.963700 9.601299 1885 91 13 11.1 3 2 15.1 351 23 15.1 9.998802 0.903704 9.601261 1886 91 14 1.4 3 3 5.0 351 24 4.4 !>.!)8802 9.963707 9.601263 1887 91 14 51.8 3 3 54.9 351 24 53.8 9.998803 9.963710 9.601946 18885 91 15 42.3 3 4 44.9 351 25 43.4 9.998803 9.963713 9.60 1227 1889 ' 91 16 32.6 3 5 34.8 351 26 32.7 9.998803 9.963717 9.601209 1890 91 17 23.0 3 6 24.7 351 27 22.1 : 1.998803 9.963720 9.601191 1891 91 18 13.3 3 7 14.6 351 28 11.4 9.998803 9.963721 9.601173 18925 91 19 3.8 3 8 4.6 351 29 0.9 9.998803 9.963727 9.601156 1893 91 19 54.2 3 8 54.5 351 29 50.2 9.998803 9.963731 9.601138 1894 91 20 44.5 3 9 44.4 35] 30 39.6 9.998803 9.903734 9.6011 20 1895 91 21 34.9 3 10 34.3 351 31 28.0 9.99--- (K! 9.96373S 9.601102 I896J9 91 22 25.4 3 11 24.3 351 32 18.4 9.99.-S03 9.963741 9.601065 1897 91 23 J5.7 3 12 14.2 351 33 7.7 9.998803 9.963745 9.601067 1898 91 24 6.1 3 13 4.1 351 33 57.1 9.99SSD3 9.90374* 9.601049 1899 91 24 56.4 3 13 54.0 351 34 10.4 9.998S03 9.963751 9.601031 190(1 5 91 25 26.9 3 14 44.0 351 35 35> 9.998803 9.9637.54 9.601014 H- UNIVERSITY OF CALIFORNIA LIBRARY \ n^nlBlBB] ^^^^R S?