74 



ECULAR VARIATIONS OF THE ELEMENTS OF 



The equations just computed will now give the following values: 

 For the root g, we get, 



#=5".48184344; 



N' =+0.04775507iV 



N" =+0.03031 151iV 



N'" =+0.0046 15663iV 



N lT =— 0.00004974188^ 



N r =— 0.00004429498iV 



N T1 =+0.00001941068iV 



iV r/ =+0.000000351368iV 



log. 98.6790194 : 



" 98.4816076; 



" 97.6642342; 



" 95.6967222/i; 



" 95.6463545™ ; 



" 95.2880406; 



" 93.5457621. 



For the root g x , we get, 



# 1 =7".3005026 ; 

 N; = — 0.7657460^ 

 N{ =— 0.5821 200^ 

 Nf =—0.09563476^, 

 iVi JF =+0.0003996932^ 

 W =+0.0004077858^ 

 ^"=—0.00010221725^ 

 ^"'=—0.000004220228^ 



For the root g 2i we get, 



gr 2 =17".0948281 ; 

 N; =— 7.697880^ 2 

 iV 2 " =+ 7.832065^ 

 N? =+13.95241iV 2 

 iV/ r =— 0.0007072570^ 

 N/ =— 0.004093204^ 

 N a TI =+ 0.0002502615^ 

 iV 2 F '=+ 0.00001841771i^ 



For the root g 3 , we get, 



# 3 =17".90922396; 



iV 3 =— 8.366200iV 3 

 N s " =+10.511163i^ 

 N? =—56.62883^ 

 N/ r =-\- 0.0008158954^ 

 N 3 T =+ 0.008084869^ 

 N s ri =— 0.0004567941^ 

 N 3 rn =— 0.00003392040iV 3 



log. 



99.8840847w 

 99.7650126?z 

 98.9806158™ 

 96.6017268; 

 96.6104318; 

 96.0095242™ 

 94.6253359™, 



log. 0.8863712™; 



" 0.8938764; 



" 1.1446493; 



" 6.8495773™; 



" 7.6120634™; 



" 6.3983940; 



" 5.2652356. 



log. 0.9225281™, 



" 1.0216508; 



" 1.7530376™; 



" 6.9116345; 



" 7.9076730 ; 



" 6.6597205™; 



" 5.5304609™. 



