86 



THE ORBIT OF URANUS. 



Action of JVe/><wue.— Continued. 



(w.c.4)=— 0.06 sin 9^ —0.05 cos 9.1, 

 —0.09 sin 10^ —0.08 cos \^A, 

 -f0.00044e.V 



A,^0-l 



{v.sA): 



(p.c.0)= 



-f 3 sin 3 J 



-J- 227 cos A3 

 +232 cos 2^3 

 —229 cos 3.43 



— 59 cos 4^3 



— 17 cos 5^3 



— 7 cos 6^3 



— 3 cos 7^13 

 +0.01018^e 



(p.c.l) = 



:+ 3 sin J3 

 + 2 sin 2A., 

 +23 sin 3.43 

 + 8 sin 4^3 



— 9 sin 5^3 



— 3 sin 6.43 



— 1 sin 7^3 



— 9 cos 2.43 

 — 141 cos 3^3 



— 39 cos 4.^3 

 + 43 cos 5.^3 

 + I3COS6J3 

 + 5 cos 7^3 



— 0.43322 :e 



(p.C.2): 



(p.c.3). 



— 1 sin 3.43 + 



— 4 sin iA,i + 



— 6 sin 5^3 + 



— 2sin6^ + 

 + 3 sin 7^3 — 



— 0.03048:e 

 I— 0.000202!e 



1 cos Ai 

 6 cos 2^3 



6 cos 3^3 

 5 cos 4 J.3 



17 cos 5^3 



7 cos iSA-i 

 7 cos 7yl3 



-0.05 sin 9^3 +0.06 cos ^A, 

 -0.08 sin 10^3 +0.09 cos 10^ 

 +0.00044^6 



(p.s.l)= 



(p.S.2): 



(p.«.3): 



Perturbations of the Latitude. 



(The secular terms Iieing omitted.) 



Action of Jupiter. 

 II II 



(6.c.0)= 0.024 sin A^ —0.013 cos A^ 



(5.s.l)=— 0.420 sin A, +0.494 cos A^ 

 (6.c.l)=+0.494 sin A, +0.420 cos A^ 



(&.s.2)= +0.004 sin 2A^ —0.017 cos 2^ 

 (&.c.23=— 0.017 sin 2^1 —0.004 cos 2 A, 



