THE GENERAL PERTURBATIONS OF THE MINOR PLANETS. 165 
Tn the second integration the constants of ndz and » are designated by C and VV 
respectively, and the complete forms are 
C+knt + k sin g —k, cosg + $y, sin 2g — $n hk, cos 2g + ete. 
N — 1k, cos g — 4k, sin g — 37 k, cos 2g — 37 k, sin 2g — ete. 
In case of the latitude the constants of integration have the form 
1, + l, sin g + 1, cos g. 
We thus find 
nz = O+[1+ & —82".7162]nt 
+ [4.59 + k,] sin g + [—2’.07 —k,] cos g 
— 1’.2175nt sin g — 3”.2376nt cos g 
+ [—0”.11 + $y, &,] sin 2g + [—0”.31 — $7 k,] cos 27 
— 0’.0244nt sin 2g — 0”.0649nt cos 2g 
—+ ete. + ete. 
vy = +0”.0511nt + NV 
+ [—0".54 — h,] cos g + [— 0.58 — $h,] sin g 
+ 0”.6087nt cos — 1’.6188né sin g¢ 
+ [07.05 — 37” k,] cos 2g + [— ”.24 — 37 &] sin 29 
+ 0”.0244nt cos 2g — 07.0649nt sin 29 
+ ete. + ete. 
= = 10.3616 + 0.3623nt 
Cos2 
+ [1.52 +14] sin g + [—0”.68 + 1] cos 9 
—1”.3464nt sing — 3’.0038nt cos g 
+ 0.32 sin 2g — 0.16 cos 29 
— 0’ .0539nt sin 2g — 0’.1204nt cos 2g 
+ ete. + ete. 
