36 
MR. LUBBOCK’S RESEARCHES 
- |l - 2m j Z 147 + ^ + *147 = ' 
A = ^{ 1+2r °}* + - "^ + - r0 ) 
sin.r 
+ (2 r, + 3 m< } — 
\ 4(1 — m) u, a. 3 J 2 (1 — 
sin 2 £ 
4(1 — m) p, a/ 3 J 2 (1 — m) 
+ { 2r > + r ' - {2(1^ “ sin (2 ‘ -*> 
+ {2r 4 + r ,-{_ JI ^ ) - JT5 i_ y }^} i 
(3 - m) 
sin (2 1 + x) 
■ 2r,e, . 
4 — ' sin z 
m 
f r> , 21 m, a 3 4 e, • /r> . x 
{ 2 f(i + 4(2 — 3 m) pa, 3 } (2 — 3m) Sm ^ ^ 
'}(2^j sin(2 ‘ + '' ) 
+ 4 2r 7 
3 m, a 3 
A (2 — m) i^a t 
The values of the constants assumed by M. Damoiseau are 
e = -0548442 e y = -0167927 y = -0900684 m = -0748013 
Mem. Th6or. Lun. p. 502. 
Taking m — ja = ‘° 75 
4.3 7- 3 . 77 m,a 3 n 
r, — r, * — = 0 
40 2 1 1 2.3 7/*V 
600 .77 m, a 5 
17 .57 • 37 paf 
9 . 74 m, a 3 
2 . 34 fx, a y 3 
_ 0() f 17 .77 2 \m y a 3 _ 300 . 133813 ?n ( a 3 
r, “ L 37 2 - 57 17 J f/.a y 3 1326561 pa, 3 
40 2 .3 m, a 3 2400 m, a 3 
rj — “ 37.43 . 2/xa y 3 ” ~ 1591 pa, 3 
3.40 3 r, 
2,47 — 2 .4 .37.3 
*i = 
3 . 40m, a 3 "f 20 
4 . 37 p a* / 37 
m, a 3 1 20 
f^?J 17 
