70 SECULAR VARIATIONS OF THE 'ELEMENTS OF 



For the root 0=5".4983682, we get, 



1840691 Ar , 98053.1 10390430 



^; y=+ - ^ z = - 



Whence /3=86 57' 2". 7 ; log. JV=9.2489632. 



tf =+0.1774036; #"=0.000008651 ; 



N' =+0.00811605; N r =0.000007741 ; 



N" =+0.0050546 ; N" =+0.0000033452 ; 



N' n =+0.00078565 ; #""'=+0.00000006205. 



For the root # 1 =7".404067, we get, 



, 1842718 . 4337257 _ r 197199700 AT2 



~ - 



Whence ,=23 1' 6".9 ; log. #=8.3783427. 



# =+0.0238970; # 7 " =+0.000010206 ; 



^' =0.0193047; #"=+0.000010562; 



^" =-0.0144699; #"=0.000002565; 



Nf =0.0024433 ; ' # T "= 0.0000001085. 



For the root ^ 2 =17".021165, we get, 



_ 51010670 _ 



X * - ---- VM - -"2 2/2 - I 20 Z2 ~ ^' 



51010670 80108830 3.698921 , 



Whence /? 2 =327 30' 44".5 ; log. #=97.4095166. 



# =+0.00256754 ; #'" =0.0000028671 ; 

 #' =0.0196090 ; #" =0.000017413 ; 

 #" =+0.0190434 ; #"' =+0.0000010662 ; 

 #'"=+0.0380997 ; # m = +0.00000007833. 



For the root #,=18".015863, we get, 



137961060 149026100 8.388122 



X 3 +' ""1020 ""a! 2/3 JQ20 -"3* Z 3 JQ10 



Whence /? 3 =137 12" 28".8; log. #=97.3840054. 



# =+0.00242106; #"=+0.0000013840; 

 #' =0.0204978 ; # r =+0.000018105 ; 

 #"=+0.0257905 ; #"' =0.0000010064 ; 

 #'"=0.0629592 ; #""=0.00000007473. 



For the root 4 =0".6166917, we get, 



__j_ 3.359379 ^.360856 r ^57058.06 /F2 



A* ; 2/4 + JQ1U "* 2 *~ 1Q10 4 



Whence /3 4 =67 56' 51".2 ; log. #'"=95.8029370. 



# =+0.000007733 ; #" =+0.000063524 ; 



#' =+0.000011770 ; # r =+0.000071663 ; 



#" =+0.00001 3664 ; #"' =+0.00155748 ; 



#"=+0.000021955 ; #""=+0.01003740. 



