TABLES OF NEPTUNE. 79 



tables, are multiplied by sin I, cos I, sin 2 I, and cos 2 I, the sum will be too great by 

 the quantity 



14" sin I + 14" cos I + 3" sin 2 Z + 3" cos 2 7, 



which expression has been subtracted from the equation of the centre. The con- 

 stant 14" has been added to hv^. 



Table VI. gives the principal perturbations of the longitude produced by 

 Saturn, namely, 



18".552sin {S—N) 



— .141sin2(/S'— iV^) 



— .012 sin 3 [S—N) 

 + (const. = 19".000) 



Table VII. gives the principal perturbations of the longitude produced by 

 Jupiter, namely, 



34".121sin {J—N) 



— 0.011 sin 2 {J—N) 

 + (const. — 35".000) 



Table VIII. gives the term 



— 0".524cos(2^ — iV^) 

 + (const. = 0".600) 



Table IX. gives the terms 



— 0".058 sin S + 0".047 cos S 



+ (const. — 0".100) 



Table X. gives the terms 



+ 0".166 sin {S—2,N) + 0".436 cos {S — 2N) 

 + (const. = 0".500) 



Table XI. gives the terms 



+ 0".783 sin {2J—N) — 0".164 cog {2J — N) 

 + (const. = 1".100) 



Table XII. gives the terms 



— 0".101 sin J + 0".097 cos J 



+ (const. - 0".200) 



Table XIII. gives the terms 



+ 0".326sin(/— 2i\^) + 0".297 cos (/— 2i\^) 

 + (const. = 0".500) 



Table XIV. will be more easily understood after we have explained the table 

 of equation of the centre. 



Table XV. is composed of the four following parts : 



1. The equation of the centre in the undisturbed ellipse of 1850.0, or, 



