2] ON THE PERTURBATIONS OF URANUS. 21 



24. From each of these equations eliminate Se, 8n, Sx^, and 8y 1} hy 



means of the equations (e), (n), (x), and (?/), before found, and we have the 

 following : 



-14=2-0= 17265 S,x, + 0-8412 /t 1 + l'9521 h,+ l'3230A 3 



- 11-3691 8y, + 3-6001 ,-2-8793 &,- 10-9578 A, 



- 1 '6779 j>, - 1-6400 p.,+ 0'2249^ 3 

 + 2-G8L5 </,+ 1-8369 q,+ 0'2995 ^ :J 



-105-2=- 0-4681 . &e,-0731l 7^-1-2776 /;,- 0'0609 h t 



- 9-6249 8^ + 3-7087^-2- 1926^,- 9-5426 k 3 



-1-7765^-1-4924^+ 0'2786p 3 



+ 1 -6997 7,+ 1-1014 q,+ 0'7934 y :i 



-126'1=- 0-2035 8sc,-0-9653 A,- 1-4730^,+ 0-1937 A 3 



- 9-77198^ + 3-5895 ^-2-5827 ^- 9'5123A, 



- 1 7649/> ] -l -4598 p 2 - 0'2133^ 3 

 + 1-5629 v, + 1-0070 (/ 2 + 0-8437 <], 



- 199-1 = - 0-1917 Sx,- 1-321 8 /*,,+ ! -5284 A,+ 0'0260 /*, 



- 9-8232 8y, + 0-8943 ^-3'4359 L- 9'9270 k :i 



- 0790 L p, - 0-5885 p, - 0'3497 y>, 

 + 0-2540 ^ + 0-16077,+ 0'4028 <j, 



-174-7= 0-2985 S,x,- 1-1 595 /;, + 1-6072 //,+ 0'5979 h, 



- 9-57888^ + 0-7062 ,-2-9425 /'.,- 9'5877 k 3 



-0-6712^-0-4970^.- 0'3251^ 3 



+ 0-1946 f/, + 0'1238 7.+ 0'3277 fr 



-166-7= 0-8171 Sec,- 1-0088 ^+1-6018 A., + 1-1442 A, 



- 9-11228^+0-5586^-2-4890^- 9-0258*, 



-0-5688^-0-4203^- 0'2956_p 3 



+ 0-1498 r/, + 0-0958 fj- a + 0'2658 ^ 3 



-114-2= 2-0482 8^.,- 0-6027 ^ + 1-2894^+ 2'2661 A 3 



- 6-6781 8y,+ 0-2576 ^- 1-3421 &,- 6-4080^ 



-0-3256^-0-2384^- 0'1971^ 3 



+ 0-0628^ + 0-0419^+ 0'1298 q, 



