46 



SECULAR VARIATIONS OF THE ELEMENTS OF 



6 /r 

 " 



For the root g b , we get the following values, 



# 5 =2". 7276680; 

 N t =+ 0.2886746# 6 / 

 N; =+ 0.2816212^ 

 # 6 " =+ 0.296961 lN 6 ir 

 #/' =+ 0.3989168# 6 /r 

 N 6 r =+ 0.9103832# 6 ' F 

 # 6 "=+15.29957#/ r 

 # 6 F "= 1.497633# 5 /r 



For the root g w we get the following values, 



6 =3".7167141 ; 

 N 6 =+0.5652238#/ r 

 NJ =+0.3828501# 6 ' r 

 JV 6 " =+0.3770050# a ' r 



=+0.7901118 



W; F// = +0.03290417JV/ r 



For the root g 7 , we get the following values, 



^ 7 =22".4608918; 

 N, = 0.006358233JV/ 

 N,' =+0.02171584^' 

 ^ 7 " = 0.1536641 N 7 ir 

 Nj" = 0.9634742# 7 /F 

 JV/ = 3.091784JV/ r 



r/r 

 r/r 



JV 7 r ' / =+0.00872848JV/ 



log. 9.4604086 ; 



" 9.4496654 ; 



" 9.4726996; 



" 9.6008823 ; 



" 9.9592242; 



" 1.1846793; 



" 0.1754053M. 



log. 9.7522204; 



" 9.5830288; 



" 9.5763472; 



" 9.6385614; 



9.8976886; 



" 0.0167438w; 



8.5172509. 



log. 7.8033365n; 

 8.3367766; 

 9.1865723w; 



9.9838401n; 



0.4902090 ; 



9.0624732; 



7.9409386. 



25. We must now substitute the numbers we have computed, in the last article, 



in equations (134) and (135) ; making use of the logarithms of 7/ *-/t , J, , &c., 



7fr vv / \A/ it/ U 



which were used for the adopted masses, but using the following values of log. 



m 

 na 



m- 



1 7 I I '" 7 



log. _ft, log. --z. 



na 



m 



na 



log. =87.3921041; log. ^^=86.6903449; log. ^=86.1148475. 

 1 na na na 



For the root g=5". 344676, we get, 



x=- 



4618325 







N; y= 



259345 



27356380 



-JQM L ' it ~1 \()20 JO 20 



Whence /3=86 47" 9" 2; and log. #=9.2281141. 



# =+0.1690885; #' r = -0.0000198; 



#-=+0.0174481; #"=0.0000175; 



#" =+0.0110355; #"=+0.00000805; 



#" =+0.0016926; #"=+0.000000127. 



