OF ARTS AND SCIENCES. 



291 



+ (1 + ^1^) 



j +0.00f 

 1 I n nciA 



00978 



L 



4- 0.00497 COS. (^ _ f ) 



f-o. 



00004 COS. (21 — 71^) 



+ (1 + /":f ) i + 0-00004 COS. (^ _ 2 f - ^jg) 

 ! — 0.0000002163 < sin. (f — TT^) 



L 



1 



I 



J 



+ a 4- «„ 1 1 + """"'^ ""'■ (2 -y - ¥ - ",;) 

 I cjt^ •; _j_ 0.0000002751 i sin. (^ — ^ij, ) 



L 



+ (.1 + 1'^,^,^, a) 0-00006. 



" These formulae may be exhibited in the following form, which is 

 similar to that adopted by the illustrious Leverrier, in his theory of 

 Mercury, and very convenient for the construction of tables. The co- 

 efficients for the corrections of the masses are hereafter omitted. 



dv =: — 



8.63 sin. 



— 1.70 sin. 



— 0.54 sin. 



— 0.21 sin. 



— 0.09 sin. 



— 0.04 sin. 



— 0.02 sin. 



— O.Ol sin. 



— 0.01 sin. 

 + 18.60 sin. 



— 0.15 sin. 



— 0.02 sin. 

 + 34.09 sin. 



— 0.02 sin. 

 + 0.02 sin. 

 4- k sin. (^ 



4(y-¥) 



6(y-f) 

 7(i3-¥) 

 S(]3-¥) 

 9(y-¥) 



lo(y-f) 

 (^-¥) 



(^-¥) 

 (e-¥) 



+ 9>) + A. 



