52 



SECULAR VARIATIONS OF THE ELEMENTS OF 



For the root </ 6 , we get, 



# 6 =3".7167656 ; 



N =+0.5404720iV 6 /r 

 JV 6 ' =+0.3822413iC 

 JV 6 " =+0.3758324^/" 

 JV 6 '" =+0.4347748iV 6 /r 

 NJ =+0.7901155JV 6 /r 

 ^"=—1.039253^^ 

 iV/ =+0.03290012iy 6 /F 



For the root g 7 , we get, 



^ 7 =22".4609133; 

 N 7 =— 0.006641048iV T J 

 N r ' =+0.02354937iV/ r 

 N," =— 0.1585801^/" 

 ty" =— 0.9647544AV r 

 2V 7 r =— 3.0917712^" 

 #/ =+0.1154698iV T jr 

 2V 7 F =+0.0087283882V/ 



log. 9.7327733 



" 9.5823376 



" 9.5748787 



" 9.6382644 



" 9.8976906 



" 0.0167214?i 



« 8.5171974. 



log. 7.8222366n 



" 8.3719794; 



" 9.2002488^ 



" 9.9844168n 



" 0.4902072«, 



" 9.0624686; 



" 7.9409340. 



27. These numbers are now to be substituted in equations (134) and (135). We 



77i Wi' 7)1/' 



must also add the logarithm of (l+«') to the logarithms of — — , — — 7i', and —j-$ % 



mo. Ma' xa 



which were used for the adopted masses ; and by this means they will become, 



log. -^=88.2471963 ; log. 4^' =85.9698939 ; log. ~ '- T= 85.8857055». 



& rid nd ' ° na 



We shall therefore get for the root o=5".5978504 ; 



1853795 



N, y-- 



41624.4 AT 10625807 ._ 



-2V, Z= ^ N 2 . 



10 2 ' 



10 20 "' a ~~ ' 10 20 

 Whence £=88° 42' 49".4 ; log. 2\=9.2418092. 



N =+0.1745056; 2V JF =— 0.0000092603; 



iV^' =+0.0093216; N r =—0.000008345; 



N" =+0.0060728 ; N TI =+0.000003470 ; 



N'" =+0.00094333 ; N TI =+0.0000000703. 



For the root # 1 =7".252874, we get, 



1689761 



10 2 



#> 2/i= 



3937391 



10 2 



N lt z x - 



138888320 



10 2 



N? 



Whence /3 X =23° 23' 37".0 ; log. ^=98.4892507. 



N x =+0.0308497; 

 Ni =—0.0202303; 

 JVY' =—0.0154897; 

 2W" =—0.00258544; 



2V/ =+0.000010862; 

 N L r =+0.000011101; 

 N 1 ri =— 0.0000027974 ■ 

 N l r "=— 0.00000011452. 



