THE GENERAL PERTURBATIONS OF THE MINOR PLANETS. 137 
ML (¢) (s) 
The quantities C,,, C;,,, etc., of the preceding tables have been divided by 2 to 
save division after quadrature. To check the values of these coefficients we will take 
the point corresponding to g = 22°.5, using the equation 
(c) (s) 
A,, or A, = 3G + C.cosg + C cos 249 + ete. 
+ S,sing + SS, sin 2g + ete, 
noting that the tables give one-half of the values of these quantities. 
Thus we have 
Sal j= j=)! 6=FZ 
(ce) WW 1 (e) 1] 
2 Cio 453.571 120.046 So = 0185 — 0.558 
a(c) : : (s) 
1 + 1.013 moa Si, = + 1.306 ae Se 
{s) () 
La — 094 = 2032 ne = te 020 He BH 
(c) (s) 
1,2 + .363 + .135 i = — 2a = 004 
(s) (c) 
1,2 aE iS 4, i io == LOD 4 Mi 
(c) (s) 
1,3 + 015 + .005 ig === 005 + .004 
(s) (c) 
13 ONT + .043 Si3 = 0 = 0m 
(¢) (s) 
1,4 0 1,4 —— 0 
(s) (c) 
1,4 0 — 0 
17) // /} VT 
> 55.126 +21.018 Se + O58 + 0.521 
5 + 6.891 + 2.627 Ly = + 0.057 + 0.065 
(c) (s) 
1 + 6.893 + 2.629 ES OL05 i + 0.065 
In this way we check the values of these quantities for all values of 2, in case of 
both w(“), and wa(“). 
Applying to the coefficients of the two preceding tables! the formula 
($)" = 885(C, F S,,.) cos [(¢-F)g— 1B" | AabEX(Cl, + S,,) sin [(¢F2)g 6B] 
2 3 
noting that } has been applied, we have the values of u (G), a ) that follow : 
A. P. S—VOL. XIX. R. 
