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: 
X' = 22639"70 sin * + 4589"-61 sin (2 t — x) + 2370"-00 sin 2 1 + 768"-72 sin 2 x - 673"-70 sin z 
[2] [3] [1] [8] [5] 
— 41 l"-67 sin 2 y + 211 ,f *57 sin (2 t — 2x) + 207"'09 sin (2 t — x — z) + 192 ,,- 22 sin (2 t + .r) 
[62] [9] [12] [4] 
+ 165"-56 sin (2 t — z) + 147 ,,- 74 sin — z) — 122"-48 sin t — 109"'27 sin (;r + z) 
[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 4 = + -016992 
16. .A, = — -194501 
'33.. A 6 = + -047798 
34. .A 7 = - -0071657 
35.. A, = + -341010 
36. .A 10 = + -023758 
19.. A u = — -57521 
41.. A, 3 = + 1-090142 
42. . A 13 = — -015950 
18.. A 14 = + -77772 
39.. A 15 = — -15092 
40. . A 16 = -j~ ’0//o30 
17. . A 17 = - -12619 
43.. A 18 = + -13616 
44.. A i9 = --0056734 
45.. A 31 = + -37647 
46.. A 2i = + -037323 
21.. Ao3= - -73617 
53.. A i4 = + -86288 
54.. A 25 = --018236 
20.. A a6 = + -93487 
5 1.. A 27 = + -24475 
52.. A 28 = + -086383 
23.. A 29 = --35736 
59. .A 30 = + 2-35733 
22.. A 32 = + -7 8 9 9 5 
6 1.. A 33 = - -81190 
60.. A 34 = +-1630 
67.. A 39 = + -4 9 8 34 
27.. A 41 = --68253 
/3.. A 4 o — "l - "84004 
26.. A 44 = + -99754 
75.. A 18 = + -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 71 = --001424 
25.. A 7 2= + 013163 
57.. A„= +-10392 
56.. A 74 = --0060501 
55.. A 75 = - -047688 
58.. A 76 = — "0003559 
65.. A 79 = - -10332 
63.. A a0 = —11921 
64.. A ai = — -10332 
80. .A l01 = - -235981 — 
tt l 
81.. Amass --60389 — 
a i 
82.. A 103 = - -29509 — 
a t 
83.. A 104 = — 055072 — 
a, 
84.. A 105 = + 2-014 7 — 
a i 
85.. A 105 = --74945 — 
a i 
86 .A, 07 = - -30746 — 
«/ 
91.. A 108 = - -60668 — 
a, 
92.. A l09 = +-26150 — 
a i 
89.. A 110 ss + 4-29 — 
a i 
100.. A 116 = + -00001927 — 
a i 
101.. A 117 = = — -10679 — 
«/ 
102.. A u8 = + -01 1593 — 
a, 
103.. A U9 = + -010326 — 
a i 
104.. A 120 = + -009179 — 
a, 
120.. A 131 = +-000071995 
121.. A m = +-0034139 
122.. A 1SS = — -0000380 
123. . A 134 = + -0002367 
124. . A 135 = — -00002598 
125.. A 136 = + "050272 
126.. A 137 = + -0011766 
131.. A 138 = + -017477 
129.. A 140 = — -0025794 
127.. A 144 = + -00037053 
Indices of M. Damoiseau. 
