IN PHYSICAL ASTRONOMY. 
259 
+ / — — — 1 e 3 e. cos (2 t — 3 x + z) 
l 16 96 J ' v ’ 
[45] 
{S + ^r} e3e . cos ( 2t + 3x - z ) + {^+ |-|}e°- e ;cos(2x + 2 2 ) 
[46] 
[47] 
+ {t + IT + t} e2e / 2cos (2t — 2x — 2z) + ~ + A j e 2 e°- cos (2 t + 2 x + 2 z) 
[48] 
[-19] 
+ 
{re + 4 -f} e9e / 9cos(2 *- 22) + {f -™ + ‘^}e*e*cos(2t-2x + 2z) 
[50] 
[51] 
+ + -j +-| } e 2 e ( 2 cos (2 t + 2 x — 2z) + j A + A + 5 - ^ j e e, 2 cos (a: + 3s) 
[52] [53] 
r 25 15 15 4351 .. /a . 
+ {“I6'T- 2 -J2f ee ' ’ cos ( 2t -*-3*) 
[54] 
+ {-i + |-T + w} ec '’ cos(2t + j: + 3 ' > 
[55] 
+ {l + ! +5 - J l} ee ’ cos< *- 3 “ ) + {f6-¥ + f- 4 l} ee ’ cos < 2, - ,a:+3s> 
+ 
{ 
25 _5 , 5 _ 145 \ 
48 + 4 + 2 32 J 
[56] [57] 
e e t 3 cos (2 £ + x — 3 z) — { — — — — — 1 e/ cos 4 ; 
' v ' l 12 16 4* 16 96 / ; 
[58] 
[59] 
f 9 , 125 . 5 . 145 7451 4 , 0 . . . 
l 16 96 2 32 192 J ' v ' 
[60] 
+ 
r 1 35 ,25 435 . 745 1 4 , 0 , , . ^ 
{ - 3'2 " 96 + 4T ~ 32 + F9-2 j 6 ' C ° S ( 2 ^ + 4 2 } 
[61] 
Terms in R multiplied by — A sin2 4- cos *4 "i 
ALL CL i 
= { 1 -| e2 + T e ' 2 + 5e ' 2_ | e - 2 -4 e ' S } cos22/ 
[62] 
+ {l + f ^-A e ;- + 5^+ |^-^ e/ ^}cos (2t-2y) 
[63] 
— 3 e cos (a: — 2 j/) + e cos (x + 2 j/) — e cos (2t — x — 2y) — e cos {2t + x — 2y) 
[65] [66] [67] [69] 
