118 SECULAR VARIATIONS OF THE ELEMENTS OP 



The values of I, V, h", and V" are given by equations (405), and the values of 

 6„ b 2 , b s , and \ are given by equations (406), by merely multiplying the coefficients 

 of AT by 1+^=2.5. 



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

 „,=_ 4".8105312, g*=- 0".0105499, 



g 2 =- 7 .0595858, g>=- .6629939, 



<7 3 =-17 .4356542, g 6 =- 2 .9169622, 



ffi =— 18 .5406218, .9t=— 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, 



y = _ 4".815328, 

 N' =+0.2099057iV 

 N» =+0.1471310iV 

 iV" =+0.0292551IV 

 N ir =— 0.000390605/V 

 N T = — 0.000486221iY 

 N" =+0.000495923 .V 

 N "'=+0.0000087191361^ 



For the root g x , we get, 



gi =— 7".064535, 

 jV/ =—0.4006901^ 

 Nf =—0.33826461^ 

 Nf =—0.0725079^ 

 W =+0.000451081 iVi 

 NS =+0.000660230^ 

 N/ 1 =— 0.0003000911^ 

 N 1 T "=— 0.00002028011^ 



For the root g 2 , we get, 



g 2 =— 17".436558, 

 N 2 =— 5.522000iV 2 

 N 2 " =+ 4.240878IV 2 

 JV 2 '" =+37.23564^ 

 N 2 ' r =— 0.001 749 727IV 2 

 N / =_ 0.015227112V a 

 N 2 TI =+ 0.001476315iV 2 

 N/"=-\- 0.0001698568iV 2 



log. 9.3210242, 



« 9.1677040, 



» 8.4662020, 



» 6.5917376w, 



" 6.6868340/?, 



" 6.6954144, 



" 4.9404735. 



log. 9.6028084k, 



" 9.5292564w, 



" 8.8603854k, 



" 6.6542543, 



« 6.8196951, 



« 6.4772529k, 



" 5.3070710k. 



log. 0.7420964«, 



« 0.6274557, 



« 1.5709589, 



" 7.2429702w, 



" 8.1826175k, 



" 7.1691790, 



" 6.2300830. 



