IN PHYSICAL ASTRONOMY. 
31 
which terms are found in the development of S d R. These terms are in fact 
multiplied by n which is equal to m if n be taken equal to unity. 
- j - s - - s s = ~ ‘ - o f-~r - y~ cos ( 2t + y ) sin ( 2t ~y) 
2 m a, 2 f . 10 0 • . . 10 o-nl 
= -^T k ^{ + 27 s ^y sm4t ~ 27 s w7 sm2 y\ 
[131] [62] 
which terms are found in the development of § 
m/ a 
+ 
81 e 2 
- + 
9 e- 
cif 1 128 (1 — m)°- 32 (2 - 2 m - c)- 32 (2 - 2 m + c) 
+ 
441 e 9 
+ 
9 e 2 
, 4--4- - — cos 2 t 
128(2-3 m) 2 128(2 —m) 9 16(1 -m) 9 a 2 16(1-m) 2 a 9 
[ 1 ] 
_/_?_ 
[4(2 — 2 in — c) 
c ) 4 (2 — 2 m + c) J 8 (l — m) 
/ 8(1 - 
e cos x 
[ 2 ] 
- { 3 _ 21 \ 3 
18 (2 — m) 8 (2 — 3 m) J 8(1 — m) G ‘ 
cos 2 
[5] 
+ 
{- 
27 
+ 
45 
16(2 — 2m — c) (2 — 2m + c) 64(1 — m) (2 — 2m —2c) 
9 
32 (1 — m) (2 — 2m + 2 c) 
| e -cos 2 x 
[ 8 ] 
+ 
H 
+ 
8 (2 — m + c) 8 ( 
63 \_3_ 
— 3m — c) J 8(1 — 
+ 
63 
c) J 8 (1 — m) 32 (2 — 2 m + c) (2 — 3 m) 
+ 32 (2 — 2 m - c) (2 - m) f e e ‘ C0S (,r + 
[ 11 ] 
+ 
{-{_ *1 
b 8 (2 - 3 r 
+ 
189 
3 m + c) 8 (2 — m - c) J 8 (1 — m) 32 (2 — 3 m) (2 — 2 m — c) 
9 
+ 
{- 
32 (2 - m) (2 — 2 m + c) 
63 
} Ce ‘ 
+ 
€^COS 2 2 
64 (2 — m) (2 — 3 m) ‘ 64 (1 — m) (2 — 4 m) J ' 
[17] 
cos (x — z) 
[14] 
153_ 1 
2—4 m) J 
