404 
MR. J. C, ADAMS ON THE SECULAR VARIATION 
dt 
dv a/ a. 
q 27 ION 495 . 
‘V'*4 -— ttjV' 
^ ^ 256 
cos ( 2 ^~ 2 mv)-ywV cos (2v-2wzv-c'mv) 
4 -^otVcos ( 2i'--27nv+c'772t') 
O 
(2s'— 2m!'+c'»)v) 
i = Vi;l'+64“+ 64 
— "m’fl— |e“) cos (2 >'— ■-'»!»)— sin (2»— 2m») 
de' 
-\-^iree' cos t-''wv+6m"^^ sin c'mv 
— —w^e' cos ( 2 y — 2 mv— cW)+-^m^'^sm (2v— 27nv — c wv) 
+~mV cos (2i'— 2mv + c'm!')— sin {2v — 2mv-\-c'mv) 
8 
15. Substitute the value before found for in terms of af ; 
dt 
dv~ 
=at| 
,2 
-je'*) cos (2»-2mv)-^OT’^ sin (2»-2»i.) 
«?e' 
„ ae . , 
-j-3m^e' cos c tnv-\-6m ^ sin c mv 
— cos (2r-2m!'-c'mr)+^^»i^^^ sin (2v-2mv-c'mv) 
+^mV cos (2r-2m.^+c'rnO-S^'^ sin (2r-2m;-4-c'»u') 
8 
16. Now, put -z=za^\\-\-m —^n -\-^rn e - me 
multiply by n, and integrate ; 
... j' g-„ ^2!;_2wv) + -^m*^ cos (2v— 2m0 
3867 , 
de' , 
-\-3me' sin c mv-\-3^ cos cmv 
-^mV sin (2»-2m.-c'm.)-^m’^cos (2p-2m.-c'»n) 
+Y^wVsin {2i'— 2mv+c';;!i') + ^»i^^^ cos (ii/— 2?jn+cnn). 
