82 



SECULAR VARIATIONS OF THE ELEMENTS OF 



For the root 0=5".465974, we get, 



1834742,., .50945.0 10464937 



x=+ -J5- #; V= -j^r- -10 s r " 



Whence /3=88 24" 34".2, log. ^=9.2440059. 



N =+0.1753904; #'"=-0.000009216; 



N 1 =+0.0085130; JT =-0.000008230; 



N" =+0.0054295; #"=+0.000003714; 



N"' =+0.00083283; #"'=+0.00000006374. 



For the root 1 =7".254515, we get, 



1718569 4394108 173815680 



*i=+ io- ~ l! Jl ~ 10- 10 20 



Whence ^=21 21' 39".0 ; log. ^=8.4336898. 



N t =+0.0271450; #/'' =+0.000010892; 



N, =-0.0203915; N, r =+0.000011137; 



#/' =-0.0155449 ; #," = -0.0000028801 ; 



#!'"= 0.00257312; #T" -0.00000011621. 



For the root S r 2 =17".023581, we get, 



18688360,. .40529780 _3.058100 v , 



*= 10 20 - ^5 2/2= "^Q20 - ^25 Z 2- JQIO 



Whence &=335 14' 43".7 ; log. ^ 2 =7.1641841. 



N, =+0.0014594; N, ir =-0.000001032; 



Ai' =-0.01 1 1657 ; ^/- = -0.000006246 ; 



N,' =+0.01 12699 ; N 2 V1 =+0.0000003924 ; 



JV.,"'=+0.0222253 ; JV 2 "'=+0.00000002875. 



For the root &=17". 797850, we get 



.. . 



B; z * = 15 " 



132834470 .- 143133400.. 12.343316 



Whence /? 3 =137 8' 14".l ; log. ^=7.1992139. 



N 3 =+0.00158203; N," =+0.0000010517; 



JV 3 ' =0.0131097 ; JV 3 r =+0.000010491 ; 



JV/ =+0.0161968; N t n =-0.0000006377; 



JVr/"=-0.0795892 ; JV 3 "'=-0.00000()04714. 



For the root j/ 4 =0".6222813, we get, 



. 3.414548 __, . 1.395571 58943.27 



*4-+ i( y a K'>Vt+--joSS N t ' z ^- io'"^ 4 



Whence 4 =67 46' 10".2 ; log. ^"=95.7964432. 



NI =+0.000007604 ; Nf r =+0.000062581 ; 



JV 4 ' =+0.000011548 ; #/ =+0.000070912; 



JV 4 " =+0.000013373 ; NJ' ==+0.00153906 ; 



JV/'= +0.00002 1626 ; JV 4 " / =+0.0100524. 



