THE GENERAL PERTURBATIONS OF THE MINOR PLANETS. 1538 
from 
a =u (“)—(H) 
UO TON Laer ee ei ON 
oF dr Ie (5) E ~ @ a zit (‘) (i) 
5 dQ 9 s ind Mig 7 , ) 
iP = jl (=) = % sin (f’ + Il’) + (7) 
where 
rn Le Wig ea) 7 A 
a> 1+ 3@— 4J, cos g — 4d. cos 2g — 4d, cos 3g — ete. 
sinI 7’ (A) (3) : ; 
= jam (77+) =— Ge aye ¢, sing’ — s[doy + Sry | ¢ sin 2g’ — ete. 
(0) 
+ 3é¢ a oe Jecug—e oor — Shy 16 Cos Qari. 
c, and c, being given by the equations 
sin I 
c¢, = —— cos f’ cos Il’ 
gma! _o 
= sin IT’. 
2 [.- = “|= = [9.5769400] — 2[8.38238] cos g’ — 2[6.46366 |cos 2g’— ete. 
+ 2['7.99450] cosg + 2[6.29667] cos 2g +- ete. 
—str x sin(/’+ II’) = [7.18046] + 2[8.39074] sing’ + 2 [6.77809] sin 2¢/ 
— 2[8.01941] cos g’ — 2 [6.40668] cos 29’ 
A. P. §.— VOL. XIX. T. ° 
