2] ON THE PERTURBATIONS OF URANUS. 17 



_ 67-149 = 4-5120 Sa-,-0'2334 h, + 07890 h, + 4'1775 h t 



1-327 = - 0-0878 8cc, + 0'0045 h, - 0'0160 h, - 0'0817 h. t 

 + 0-0024 p, + 0-0017 2^, + 0'0018_p :t 



(p 3 ) 1-448= - 0-0955 Bx, + 0-0052 h,- 0-0171 h,- 0-0888 h, 



+ 0-0024^, + 0-0018^., + 0-0020 p. 



18. Similarly, the equations of the second group are found to be 



(w) -171-27= 77-0000 Sn + 9-39388^- 1-2183 By, 

 + 8-8463 ,+ 7-3034 k,- 0'5927 k,, 

 + 5-7519 q,+ 4-8755 </ + 9'5583 q :t 



(y) -166-33= 93-9380 8^+12-71798^+ 1-8907 By t 

 + 11-2022 ^+11-0848 k,+ 2'6731 k 3 

 + 7-0956 (/,+ 5-9913 /.,+ 127441 q :t 



(k,) -182-87= 88-4630 SM+ 11-2022 8^- 0-3210 By., 

 + 10-2978 A',+ 9-0964 k,+ 0'4061 ^ 

 + 6-6370 </!+ 5-6163 </.,+ ll-3346 ^ 3 



(&) -89-07= 73-0340 8n+l 1-0848 8y,+ 4-8266 S//., 

 + 9-0964 A-.+ 10-7040 i- 2 + 5'4376 ^ 

 + 5-5855 r/,+ 4-6976 f^+10'9375 r/ 3 



+ 124-80=- 5-9270 8n+ 2'6731 S//,+ 10'4253 8//,, 

 + 0-4061 k,+ 5-4376 ^+10-2929 X; 3 

 0-2497 q t - 0'2643 g a + 2'1788 </ 3 



-107-02= 48-7550 Sn+ 5-99138^- 0'6614 By, 

 + 5-6163 ^+ 4-6976 k,- 0'2643 ^ 

 + 3-6475 q,+ 3-0894 r/ 2 + 6'0897 ^, 



-175-89= 95-5830 8n+ 127441 8^+ 1-38458^,, 

 + 11-3346 ^+10-9375 k,+ 2'1788 k, 



+ 7-2084 q,+ 6'0897 7.,+ 127981 </ :i 

 A. 3 



