ON THE PERTURBATIONS OF URANUS. [2 



86-67=- 4-5608 Se + 4'6963 8^+ 10'5023 So;, 



- 0-0018 4 + 8-1944 4+107071 4 



- 3'0812_p 1 - 3-5347 p^+ 3'8855 p, 



165-99= 19-3384 Se + 6-39788^- 3'49488^ 

 + 12-98834.+ 1-3667 h.,- 3'5347 h, 

 + 17-2795 # + 17-9106 p,+ 7"5423 p t 



(p t ) 242-56= 7-3721 Se + 8-18318.*,+ 3'4071 8x, 

 + 8-0038 A, + 7-6671 h,+ 3'8855 /A, 

 + 7-6127^+ 7-5423 />,+ 8'2019 ^i- 



16. By means of (e) eliminate Se from each of the other equations, 

 and these latter become 



(x) 20272= 6'5294 80^ + 5'4577 8a5, + 3'4658 A, + 8-13554, 

 + 6-0139 4.+ 1-1640 ^, + 0-8109^+ 6 '0533 ^ 



(7^) 111-41= 3-4658 8.^ + 2-6458 8x,+ 1-8531 /;,,+ 427314, 

 + 2-9588 4 ( + 0-6243 p, + 0'4349 j> 2 + 3'2183#, 



(7u) 23976= 8-1355 8,7'! + 7-6504 8^ + 4-2731 4 +10-2882 /( 2 

 + 8-2822 4+1-4284 ^ + 0-9944^+ 7'5252_p 3 



(4) 119-57= 6-0139 Sx-, + 9-5389 8^ + 2-9588 A, + 8'2822 4 

 + 97166 4 + 0-9593 ^ + 0-6652^+ 5'4866_p 3 



(p,) 26-50= 0-8109 8.^ + 0-5900 S.r, + 0-4349 // ; + 0'99444 

 + 0-6652 4 + 0-1470 ^ + 0-1024^+ 07535 _p 3 



(_p 3 ) 189-38= 6-0533 8^ + 4-9643 8^ + 3-2183 7i, + 7"52524 

 + 5-4866 4+1-0815 ^ + 07535^+ 5'6139^ 8 . 



17. Again, by means of (a. 1 ) eliminate 8.^ from each of the other 

 equations, and we find 



(4) 3-807= -0-2512 Sz., + 0'0135 4-OD452 7^-0'2334 h, 



+ 0-0065 p, + 0-0045 p, + 0'0052 p a 



(4) -12-821= 0-8502 8x,-0-0452 7^ + 0-1515 4 + 0-7890 /; :i 



-0-0219 >,- 0-0160 _p 2 - 0-0171 p.. 



