The Rev. Brice Bronwin on the Theory of Planetary Disturbance. 35 



drj hfi^' 

 'd<t>\ h 



drj-hfi^ 



1. 



(•^') 



Eliminating ^^ between the first of these and (3) of the first section, there 

 results 



or, 



drJ ~ dt "^ h, ' 



d(f>\ _ die Snr] 



(h) ~dt '^ir- 



(4) 



But . t is obvious that f 5). (^).^. Therefbre, 



dcf) 

 di 



Also,^ = pl« + ^$^ Whence 

 dt '^ dt ^ d^ dt ^^"^® 





(5) 



(f)-'(§)-^l'(l). 



cr 



^"Mi =T. = 0, from th 



dt dt 



e manner in which the variable elements are 



found ; and -i = ^. Therefore, 



whicli by (5) gives 



'•'l§J + /^^'{-^) = o, 



dr^ /d(p 



dz \dt 



d$\ _ Snr dr, 

 dt)~~r d^ 



and since also we necessarily have 



(6) 



dr) ^ \dt) ~ dt '■■ 



f2 



