68 



SECULAR VARIATIONS OP THE ELEMENTS OF 



Putting equations (285) and (286), equal to nothing, they will give, 



g= 5". 4982776; # 4 = 0".616692122; 1 



gi = 7.4032880; g 5 = 2.7279047; ! 



# 2 =17 .0209128; g 6 — 3.7201830; 



#3=18.0158003; 



# 7 =22 .4614832. 



(287) 



The equations just computed will now give the following values: — 



For the root g, we get, 



</=5".4983682; 



N' =+0.04574900^ log. 98.6603816: 



N" =+0.02849 177iV " 98.4547195: 



N'" =+0.004428614iV " 97.6462679 : 



iT r =— 0.00004876604iV " 95.6881175n; 



2T =—0.00004363627^ « 95.6398476%; 



^"=+0.00001885617^ « 95.2754534; 



jV m =+0.0000003497564i\r « 93.5437656. 



For the root g x , we get, 



^=7".4040670; 

 2% =— 0.8078317iVi 

 Nf =— 0.6055137JV; 

 Ni" =—0.10224573^* 

 jV/ r =+0.0004271000^ 

 N-J =+0.0004419796^ 

 N x 71 =— 0.0001073512iVi 

 ^^——0.00000454067^ 



For the root </ 2 , we get, 



# 2 =17".0211649; 

 N* =— 7.637284^ 

 iV 2 " =+ 7.417000iV 2 

 N? =+14.83900^ 2 

 N 2 IV =— 0.001116683iV 2 

 N t r =— 0.006781928iV 2 

 2V 2 "=+ 0.0004152514iV 2 

 iV 2 rj =+ 0.00003050897iV 2 



For the root g 3 , we get, 



# 3 =18".0158631 ; 

 jy- 3 ' __ 8.466438iv; 

 N a * =+10.65257iV s 

 ■ JV/' =—26.00480^ 

 N s ir =-\- 0.0005716405^ 

 N, r =+ 0.007478025^ 

 N 3 TI =— 0.0004156815^ 

 K™—^. 0,00003086801^ 



log. 9.9073209m 



" 9.7821240tc 



" 9.0096452n 



" 6.6305296 ; 



" 6.6454022; 



" 6.0308069m ; 



" 4.6571202^. 



log. 0.882939071 ; 



0.8702282; 



1.1714047; 

 97.0479297m; 

 97.8313532w ; 

 96.6183110; 

 95.4844276. 



log. 0.9277008m; 



" 1.0274544; 



" 1.4150536m; 



" 6.7571230; 



« 7.8737870; 



« 6.6187606m ; 



« 5.4895086m, 



