THE ORBIT OF URANUS. 



193 



Constant of (p.c.O) = 800 



(p.s.l) = 1500 



(p.c.l) = 1500 



{p.s.2) = 400 



(p.c.2) = 400 



(p.s.3j =• 100 



(p.c.;3) = 100 



Table X gives the coefficients produced by the action of Neptune, computed 

 from tlie periodic terms on pages 85 and 8G without any other change tlian the 

 multipHcation of all the numbers by the factor 0.863 to reduce them to the new 

 mass of Neptune. The constants added to the several quantities, are 



Tables XI to XVI give the terms of the second order and of short period wliicU 

 contain tiie products of tlie masses of Jupiter and Saturn, wiiich, with the constants 

 added to the numbers of the several tables, arc as follows : 



(i,.c.O) = + O-'.OS sin .4, + 0".51 cos A,-,; 

 + .04.sin^, + 0.01 cos .4,; 



— .01 sin J, + .05 cos A,; 



— .35 sin A^ — 1 .30 cos A^; 



— .05 sin A, -\- .03 cos A,; 



Sum of constants added to these tables 



(r..9.1) = + 0".2fi sin J, + 0".27 cos ^,; 



— .04 sin A, — 0.17 cos A,,; 

 -f .08 sin J. + .03 cos A,; 



-0 .02 sin A: -\- .08 cos .4; ; 

 -\- .30 sin ^s — .58 cos A^; 



— 0.04 sin J,; 



25 June, 1873. 



