34 
MR. LUBBOCK’S RESEARCHES 
The principal arguments in the expression for the longitude are those of 
which the indices and numerical coefficients in seconds (according to M. Da- 
moiseau), ranged in their order of magnitude, are as follows : 
A v = 22639"-70 sin x + 4589"-6 1 sin (2 t-x)+ 2370"’00 sin 2 1 + 7G8''-72 sin 2 x - 673"70 sin 2 
[2] [3] [1] [8] [5] 
— 41 1"- 67 sin 2y + 21 1 "•57 sin (2 t — 2 x) + 207 ,, '09 sin (2 t — x — 2 ) + 192" , 22 sin (2 t + „r) 
[62] [9] [12] [4] 
+ 1 65"*56 sin (2 t — 2 ) + 1 47 r, *74 sin (x — 2 ) — 122"-48 sin t — 109" - 27 sin (x + 2 ) 
[6] [14] [101] [11] 
The values of the quantities X are, according to M. Damoiseau, p. 561, 
*30. .A, = + -0114901 
31. . A 3 — + ‘405/14 
32. .A, = + -016992 
16. . A 3 = — 194501 
-33.. A 6 = + -047798 
34. . A 7 = - -0071657 
35.. A, = + -341010 
36. . A I0 = + -023758 
19. . A,, = — -57521 
41 . . A 12 = + 1-090142 
42. . Aj 3 = — '015950 
18.. a I4 = + -77772 
39. . A 13 = — -15092 
40. . A l6 = + -077330 
17. . A 17 = - -12619 
43. . A 18 = + *13616 
44. . A 19 = — -0056734 
45. . A, | = 4- "3764/ 
46. . A 22 = + -037323 
21.. A 23 = - -73617 
53. . A 24 = +-86288 
54. . A 25 = - -018236 
20. . A 26 = + 93487 
51.. A 27 = + ”244/ 0 
52. . a 28 = + *086383 
23.. A 29 = —*35736 
59. . A J0 = + 2-35733 
22. . A 32 = + -78995 
61. . A 33 = — -81190 
60.. A 34 = +-1630 
67. . A 39 = + -49834 
27.. A 41 = --68253 
73. . A 42 = + -84004 
26. . A 44 = + -99754 
75.. A 48 = + -62872 
37. . A 63 = + -032768 
38.. A 64 = —*0034364 
49. .A 67 = + -0029421 
47. . A 68 = — *105155 
48.. A e9 = - -072464 
50.. A 70 = - -010897 
24. . A n = - -001424 
25. . A 72 = + 013163 
57. . a 73 = + -10392 
56.. A 74 = — -0060501 
55. . A 75 = — -047688 
58. . A ;6 = -*0003559 
65. . A 79 = - *10332 
63.. A 80 = - -1 1921 
64. . A 81 = - -10332 
80. . A 101 = - -235981 — 
a i 
8 1 . . A 102 = - -60389 — 
a i 
82.. A 103 = - -29509 — 
J a t 
53.. A 104 = - 055072 — 
a. 
84.. A 105 = + 2-0147 - 
a i 
85.. A Ioe = --74945 — 
«/ 
86 .A 107 = - *30746 — 
a, 
91.. A 108 = — -60668 — 
a, 
92. . A 109 = + *26150 — 
a i 
89.. A 110 = + 4-29 — 
a , 
100. . A 116 = + -00001927 — 
a i 
101.. A 1I7 = - -10679 — 
a i 
102. . A 118 = + -01 1593 — 
«/ 
103. . A 1I9 = + *010326 — 
a j 
104. . A I20 = + -009179 — 
«/ 
120. . A 131 = + -000071995 
121.. a 132 = + -0034139 
122.. A 133 = -*0000380 
123. . A 134 = + -0002367 
124. .A, „ = - -00002598 
1 25 . . A 136 = + -050272 
126. . A 137 = + -001 1766 
131. . A 138 = + -0 1 7 4 7 7 
129. . A 140 = - -0025794 
127. . A 144 = + -00037053 
* Indices of M. Damoiseau. 
