TABLES OP NEPTUNE. 79 



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

 the quantity 



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



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

 stant 14" has been added to 5^. 



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

 Saturn, namely, 



18".552sin (S N) 



.141 sin 2 (SN) 



0.012 sin 3^^) 

 + (const. = 19".000) 



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

 Jupiter, namely, 



34".121sin (JN) 

 0.011sin2( t 7 N) 

 + (const. = 35".000) 



TABLE VIII. gives the term 



0".524cos(2S N) 

 + (const. = 0".GOO) 



TABLE IX. gives the terms 



- 0".058 sin S + 0".047 costf 

 + (const. = 0".100) 







TABLE X. gives the terms 



+ 0".1GG sin (S 2 N) + 0".43G cos (S 2 N) 

 + (const. = 0".500) 



TABLE XI. gives the terms 



+ 0".783 sin (2 / N) 0".1G4 cos (2J N) 

 + (const. =: 1'MOO) 



TABLE XII. gives the terms 



0".101 sin J + 0".097 cos J 



+ (const. = 0".200) 



TABLE XIII. gives the terms 



+ 0".32G sin (J2N) + 0".297 cos (J 2 N) 

 + (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, 



