* THE GENERAL PERTURBATIONS OF THE MINOR PLANETS. 5d 
Using the values of the C;, coefficients given by Lz Verrizr in the Annales de 
V Observatoire Impérial de Paris, Tome Premier, p. 203, we have 
f—g =[4G) —2G)?+ $6) + WG) + PE (H)"] sing 
“F >Gy— (Gp) ae ag) se a ap i | sin 2g 
ts Gy — 4G) + SG) — 24 G)+ ete. | sin3y 
Gece ce eG) eect, 9 || sini4y 
+ [1982 (ey — pet Cy + tpn (4)! | sinbg 
qe: it G) === G) +, ete: | sin 6g 
=e [432328 (Gy SS eP | sin 7g 
+ [2H? G) ] sin 89 
r [4 Lee Ge) | sin 9g 
Converting the coefficients into seconds of arc, and writing the logarithms of the 
numbers, we have for the equation of the centre, 
I= 
4 
. 
4 
+ 
Mi 
i 
cs 
ae 
4 
| 5.9164851 (5) —5.6154551 (5)° + 5.5362739 (5)° + 5.787506(5)' + 6.25067 (§)° |sin g 
[ 6.0133951 (4)? — 6.179726 (5)! + 6.067753 (4)° + 5.59571 (5)°| sin 2g 
| 6.252272 (5) — 6.6468636 (5)° + 6.690089 (+)’ — 6.22336 (¢)’| sin 3g 
| 6 5491111 ($)'\— 7.093540 (5)'+ 7.27643 (4)*| sin 4g 
[ 6.875105 (¢)'— 7.533150 (4)' + 7.82927 ($)°| sin 5g 
[7.225760 (4)'—7.96973 (4) | sin6g 
| 7.587638 ($)’ — 8.40484 (5)"] sin Tg 
[7.95944 (4)°] sin 8g 
| 8.38880 (5) | sin 9g 
