86 



THE ORBIT OF URANUS. 



Action of Neptune. Continued. 



ff 



/' 



(u.c.4)= 0.06 sin 94 0.05 cos 94, 

 0.09 sin 104, 0.08 cos 



(p.c.0)= 



+227 cos A 3 

 +232 cos 24, 

 + 3 sin 34 -229 cos 3 A 3 



59 cos 4 A 3 



17 cos 5A 3 



7 cos 6^3 



3 cos 7 A 3 

 +0.01018& 



(p.c.l)=+ 3 sin 4 



+ 2 sin 24 

 +23 sin 34 



+ 8 sin 44 



9 sin 5 A 3 



3 sin 64 



1 sin 74, 



9 cos 24 

 -141 cos 34 



39 cos 44 

 + 43 cos 54 

 + 13 cos 64, 

 + 5 cos 7 A 3 



0.43322!e 



(p.c.2)= 



0.03048!e 

 (p. c .3) = _0.000202!e 



(v.sA) 0.05 sin 9^ 3 +0.06 cos 94 

 -0.08 sin 104 +0.09 cos 

 +0.000445e 



(p.s.l)= 60 sin A 3 3 cos 4 3 



45 sin 24 2 cos 24, 



107 sin 34 23 cos 34 



o o 



29 sin 44 

 + 47 sin 54 

 -I- 15 sin 64 



5 sin 1A* 



8 cos 4,4 3 

 + 9 cos 5.4 3 

 + 3 cos 64, 

 + 1 cos 7Aj 



(p.s.2)= 5 sin 4j 



8 sin 24 



+ 8 sin 3 4, 



+ 5 sin 44 



+ 17 sin S^lj 



+ 7 sin 6 4 



7 sin 74 



+0.03053e<fy 

 (p.s.3)t=+0.00203eS$r 



+ 1 cos 34, 

 + 4 cos 44 

 + 6 cos 5A 3 

 + 2 cos 64 

 3 cos 74 



PERTURBATIONS OF THE LATITUDE. 



(The secular terms being omitted.) 



Action of Jupiter. 

 n n 



(6.c.0)= 0.024 sin 4j -0.013 cos A l 



(b.s.l)= 0.420 sin A l +0.494 cos A l 

 (J.c.l)=+0.494 sin A l +0.420 cos A 1 



(6.s.2)=+0.004 sin 24 -0.017 cos 24 

 (5.c.2)= 0.017 sin 24 0.004 cos 24 



