OF ARTS AND SCIENCES. 



289 



l- 



r- 



f + 

 I + 



1 + 

 1 + 



18.60sin. (12 — ]g) ^ 



0.15 sin. 2(>2 — :^) [> 



0.02 sin. 3 ( >2 — :^ ) J 



0.08 sin. (>2 — TTj.) 

 0.22 sin. ( 12 — 2% 4- TTj^) 

 0.01 sin. (2 >2 — 3f + 7?j.) 

 0.003404 « COS. {1^ — 7ij.) . 



0.01 sin. (y^—n^) 

 0.28 sin. ( l2 — 2 f 4- 71^ ) 

 0.54 sin. (2 12 — :|: — 7r. ) 

 0.02 sin. (2 12 — 3 ]|: -}- 71, ) 

 0.009134 f COS. (]|:_;r ) 



+ (1 + 



U-¥) 



+ (1 + 



+ (' + 



,„ )f + 34".09sin. (J^-^) 

 ] — 0.02 sin. 2 (21— Ji 



r_ 



f 



I 



} 

 J 



L 



+ 

 + 



+ 



0.14 sin. (^—71^) 



0.42 sin. (:^_2f + 7r^) 



0.02931 t COS. (f — nj.) 



0.01 sin. (^_2f + 7r2^) 

 0.82 sin. (2:^—^ — 7X2^) 

 0.003727 t COS. (^ — ^r^, ) 



I 



S r = 



i^ + f'm) 



+ (14-/^©)0.02sin. (0—:^) 

 the perturbation of Neptune's radius vector 



+ O.OOOCl 



— 0.01328 COS. ( 5 _ :^) 

 + 0.00097 COS. 2(^ — f ) 

 + 0.00023 COS. 3 ( ^ — f ) 

 -I- 0.00008 COS. 4 (if — f) 

 + 0.00003 COS. 5 (II — |:) 

 -j- 0.00001 COS. 6(^ — ]|;) 

 -|- 0.00001 COS. 7 ( ¥ — f ) 



37 



J 



