THE ORBIT OF URANUS. 



71 



dvdV 

 6^E 



-;!'^'o'+y)o"+y')cos.v 



oh 



ru m / on\ 



vdp tti \ an J ^ 



o'vo'p 



(;+y)siniY 



_ dR _ d'R 



6v c/vo'j/ 



6'^R "* V; _i_ o *^^* _L *^''* \ 



dvdp 

 d^R 



cos N 



SR cTR 



d?p 



C'pclp' 



All the numerical data necessary for the computation of these derivatives have 



been given in C-hapter II. C;ombiiung the terms having the same argument, we 



find the following values, omitting tliose given in Chapter II, and those which 



6-R 

 are derived from the others by mere addition. The terms of „ -,- are also omit- 



ted, because they are sensibly the same with those of ^ , ,, changing the alge- 



0\dV 



