IN PHYSICAL ASTRONOMY. 
29 
The succeeding terms admit of similar simplifications, so that 
R = ' + s? (* t + A 7 (eS+e ' > 1 5 “ ) 
— -^(e 2 + e ?) b 3 ,2 j COS ( nt — nf + £—£,) 
+ { - 7 + 27 ( si "*T + e± r l1 ) (*«+**)+ 
— ^•(e 2 +e ( *)5 3l3 } cos(2k*-2V+2£-2£,) 
+ *d -7 + 27( sini T + <Sw+i3 ' 4) + 573 £•(«*+ ‘A 
— JL (e 2 +e, 2 )63,4 j cos (3 nt —3 n t t ~3 e —3 e ) 
+ ».{ “7 + 27 ( si ”*T + 
— 3 . ‘ J? .fL (e-+ e ; a ) 63,5 1 cos (4n£— 4«/ + 4£ — 4 e ; ) 
2 • 4 fly ~ J 
The coefficient of cos — ■&), Argument 4 1 , 
f 9a, a 7 3 . 6 (a- + a/ 2 ) , 3 . 7 a 2 a, 2 , 
= TO ' \ “ T ° 3 ’ 0 ~ S^® 3 - 2 + 274 a/’ a a ‘ b °’° ~ 2.4.2 “oj»“ 63,1 
3 (a- + a/ 2 ) , 3 a 2 a y 2 , ] 
T2 
2.4 a* ‘ ' aa ‘ b s * 2_ 2.4 
J i'jL; JLa 3.6a / (a- + «, 2 ) , _a, \ 
m / 1 4 a< 2 3,0 g a ^a 3,2 2 . 4 a, 2 \ a, 2 5,0 a ( 5,1 j 
r 9a a 9 a 3a 2.3 a 1 
= m / { - “ S^ 2 ® 3 - 2 + T a/ 2 ® 3 - 0 + IT v^ 3,2 J ee ' 
= ”'47 S ’-* 
So that the part of R which is independent of n t , w i t 
to 
M 
[3] 
W 
f b l0 a / /, e 2 + e 2 \ , a 7 . .1 
= m ' i “ If + 2^7 \ sin T ~ 4 y * 3 .i + 4 ^ 7 ^ 3,2 ee / cos (or - w,) | 
f ^ 1,0 a / . „ 6 e2 +e ( 2 \ 7 [ 3a , a’ 2 + a, 2 7 ] 
= ”*•{- 7 -27 (s.n* T - — j- j - ( 27A0 - ) ««,“» (• - ”,) 
