124 



SECULAR VARIATIONS OP THE ELEMENTS OF 



For the root g b , we get, 



^ 6 =— (T.661664, 

 iV 5 =+1.229553iV/ F 

 Nj =+1.131670iV 5 jr 

 iV 5 " =+1.108860iV/ r 

 Nl" =+1.049663iV 5 jr 

 N R r =+0.9653253iV 5 jr 

 tf 6 w =— 0.9380050^" 

 NJ"=— 9.829623iV/ 7 



For the root g m we get, 



g s =— 2".9160753, 

 jV 6 =+ 3.484775^/" 

 NJ =+ 2.063762iV 6 jr 

 JV 6 " =+ 1.853037iV 6 JF 

 N:' =+ 1.316456iV/ r 

 N 6 r =+ 0.8164332iV 6 J 

 N™=— 20.11465iV/ r 

 iV 6 F// =+ 2.159171^ 



log. 0.0897471, 



" 0.0537194, 



" 0.0448769, 



" 0.0210502, 



" 9.9846737, 



" 9.9722051w, 



" 0.9925368w. 



log. 0.5421747, 



" 0.3146597, 



" 0.2678842, 



" 0.1194064, 



" 9.9119207, 



« 1.3035125?*, 



« 0.3342872. 



For the root g 7 , we get, 



# 7 =— 25".934665, 

 N 7 =— 0.0423304iV/ r 

 N 7 ' =— 0.0418973iV/ F 

 N 7 " =— 0.4430757iV/ F 

 N 7 '" =— 1.470350iV/ r 

 N 7 V =— 2.490680iV/ r 

 ^"=+0.1093404^ 

 iV 7 FJ =+0.01225256Ay 



log. 8.6266524?*, 



" 8.6221861?*, 



" 9.6464778?*, 



» 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 #= — 5".201065, we get, 



0.638032 ■-- 1.6964973 , T 



-N; y= tt^ N; z-- 



15.329701 

 10 u 



N 2 . 



10 u ->»— jo 1 

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



N =+0.118233, N IT =— 0.00002755, 



N' =+0.016251, N T =—0.00003524, 



N" =+0.011804, N n =+0.00002986, 



N>» =+0.002385, # F ' =+0.0000008918. 



