218 INVESTIGATION OF THE SECULAR ACCELERATION [27 



de' 

 We must therefore recollect that j^ is not constant, but is equal to 



de' dt 1 de' 

 ~dt' d6~ Hu z ' 'dt 



't - ~ m? cos (26 - 2n't) - 7 ~ m?e' cos (20 - 3n't) 



- 

 ndt ( 4 



(ill 



5. In consequence of the variability of e', -^ will contain the additional 



terms 



1 1 ( da 3 de' , z ,de' , a ,. 



T . . - { -- r - m 2 j- cos n't 5mV ~, ; cos (20 2n't) 

 u* a ( adt 2 dt dt 



7 dp' 1 de' 1 



+ L m * cos (20 - 3n't) - i m* ~ cos (26 - n't) I 



1 d. Sv 

 f a ' ~~d~0 ' 

 or 



1 f da 3 .de' . 2 ,de' . , .. 7 2 ofe' , . 



- -^ -- r - m* ---, cos n't 5mV -5- cos (20 2n't) + - m? -, cos (20 3n't) 

 an [ adt 2 dt dt dt 



1 

 --nf 



1 d^ Sv 

 + a" d0~' 



to the order of approximation required. 



Therefore also -j will contain the additional terms 



I lOmV ^ sin (20 - 2n't) - 7m* ~ sin (20 - 3n't) + m? ~ sin (20 - n't) 

 an [ dt dt dt 



de' de' dp' ~\ 



+ 10mV " - sin (20 - 2n't) - 7m* " sin (20 - 3n't) + m?~ sin (20 - n't) [ 



at dt at J 



1 <? . Sv 



