X.] THE ANNUAL EQUATION. 45 



Hence 



3-520150,,- '1747626,= n'* x 0-909170, 



j = |n' 2 x 0-003516. 



Hence 



a 6 = ? w "x- 0-70619,8= -'00692,37, 



& 5 = ^n /2 x -19-4268 =-'19046,3. 



Now e' is a constant found by observation; taking e' = 3459"'28, its 

 value in 1850, we get 



a 5 e'= -'00011,61, 



6/= -'00319,4 =-658"'9, 

 nnd further 



a s = '03035,8, a/= '00050,9, 



b f = '04396,7, &/= '00073,73= 152"'09, 



a = - -00444,7, a/ = - '00007,457, 



ft = _ 00623,6, 6/= -'00010,46= - 2l"'57. 



