118 



SECULAR VARIATIONS OF THE ELEMENTS OF 



The values of 6, &', &", and W are given by equations (405), and the values of 

 4,, 4 2 , &,, and 1 4 are given by equations (406), by merely multiplying the coefficients 

 of .Vby 1+^=2.5. 



If we put equations (429) and (430) equal to nothing, they will give 



g,= 4".8105312, 04= 0".0105499, 



g,= 7.0595858, g b = 0.6629939, 



&= 17 .4356542, 9 6 = 2.9169622, 



g t = 18 .5406218, fr= 25 .9324509. 



The solutions of equations (419-430) will now give the following values remem- 

 bering that the coefficients of equations (371-384) remain unchanged. 



For the root g, we get, 



j = 4".815328, 

 N' =+0.2099057# 

 N" =+0.1471310.ZV 

 N'" =+0.0292551^ 

 N' r = 0.000390605AT 

 2?' =0.000486221^ 

 N" =+0.000495923 /V 

 N r// =-|-0.000008719136^ 



log. 9.3210242, 



" 9.1677040, 



" 8.4662020, 



" 6.5917376, 



" 6.6868340/?, 



" 6.6954144, 



" 4.9404735. 



For the root g^ we get, 



ffl = 7".064535, 

 Ni = 0.400690 N! 

 N," =0.3382646^ 

 Ai" =0.0725079^, 

 ^"=+0.000451081^ 

 NS =+0.000660230JVi 

 NS 1 =0.000300091^ 

 N l r "= 0.0000202801^ 



For the root _</ 2 , we get, 



g t = 17".436558, 



N, = 5.522000JV 2 

 NS =+ 4.240878iV; 

 -Iff =+37.23564^V 2 

 N 1 ' T = 0.001749727JV S 

 N t T = 0.0152271 lN t 

 N t "=+ 0.001476315iV 2 

 N, r "=+ 0.0001698568^, 



log. 9.6028084w, 



" 9.5292564w, 



" 8.8603854n, 



" 6.6542543, 



" 6.8196951, 



" 6.4772529, 



" 5.3070710. 



log. 0.7420964n, 



" 0.6274557, 



" 1.5709589, 



" 7.2429702w, 



" 8.1826175n, 



" 7.1691790, 



' 6.2300830. 



