124 SECULAR VARIATIONS OF THE ELEMENTS OF 



For the root <7 6 , we get, 



ft= 0".661664, 



N 6 =+1.229553JV 5 " r log. 0.0897471, 



NJ =+1.131670^'" " 0.0537194, 



N 6 " =+1.1 08860^" " 0.0448769, 



Nf =+1.049663^ " 0.0210502, 



jV 6 r =+0.9653253^ 6 /ir " 9.9846737, 



NJ'= 0.9380050^" " 9.9722051, 



^ 6 r// = 9.829623^ 6 /|r " 0.9925368. 



For the root g w we get, 



0e= 2".9160753, 

 N 6 =+ 3.484775JV/ r 

 JV 6 ' =+ 2.0637627V 6 /r 

 N; =+ 1.853037^ r 



6 T =+ 0. 



log. 0.5421747, 



" 0.3146597, 



" 0.2678842, 



" 0.1194064, 



" 9.9119207, 



" 1.3035125?*, 



" 0.3342872. 



For the root 7 7 , we get, 



^ 7 = 25".934665, 

 # 7 = 0.0423304^/ ^ 

 ^T T ' = 0.0418973^/ r 

 Nf = 0.4430757JV/ r 

 W;'" = 1.470350JV/ r 

 Nj r = 2.490680 N," 



N, w =+0. 



log. 8.6266524n, 



" 8.6221861, 



" 9.6464778n, 



" 0.1674208, 



" 0.3963178^, 



" 9.0387805, 



" 8.0882264. 



13. If we now substitute these values in equations (408) and (409), we shall 

 obtain the following quantities: 



For the root g= 5".201065, we get, 



. 0.638032 v 1.6964973 ._ 15.329701 ._ 



X I- AT- 11 - N- 7 . AT* 



JQ14 iT > y ]QU JQ14 



Whence /3=20 36' 29".8 ; and log. ^=9.0727385. 



N =+0.118233, #'"= 0.00002755, 



N' =+0.016251, # r =0.00003524, 



^"=_)-0.011804, N rr =+0.00002986, 



N m =+0.002385, N r "= +0.00000089 18. 



