THE GENERAL PERTURBATIONS OF THE MINOR PLANETS. 169 
Introducing the values of the constants of integration into the expressions for 
U 
nz, v, and— _, we have 
COS? 
nz = 332° 44’ 16.3 + 855’.5196 ¢ 
+ 417.4 sing + 80.8 cosg 
— 1'.2175sing — 387.2376 cosg 
sip O72 sim2g ee o.0) | cos 2g; 
0".0244 nt sin 2g — 0'.0649 nt cos 2g 
+ ete. + ete. 
i ==) 284.3 + 07.0511 né 
— 206.9 cos g a 4079 sing 
+ 0”.6087 ntcosg — 1.6188 ntsing 
— 8'.2cos2g + 17.3 sin 2g 
+ 0.0244 ntcos2g— 0.0649 nt sin 2¢ 
+ ete. + ete. 
See 104 4+: 07.3623 nt 
Cost 
— 44’ 2sing — 0.7 cosg 
— 1'.5464ntsing — 3.0038 nt cos g 
— 1’ 5sin 2g — 0.2 cos 29 
— 07.0539 nt sin2g— 0.1204 nt cos 29 
From the expressions of the perturbations that have been given, and the elements 
used in computing the perturbations, except that we use C’ in place of g) and the new 
value of the mean motion, we will compute a position of the body for the date 1894, 
Sept. 19, 10" 48™ 52%, for which we have an observed position. From a provisional 
ephemeris we have an approximate value of the distance; its logarithm is 0.14878. 
A. P. S.—VOL. XTX. V. 
