160 SECULAR VARIATIONS OP THE ELEMENTS OF 



For the root g^—— 6".5922343, we get, 



693376 638974.9 33245220 



x i — H TTvio ' 2/i 



Z,=- 



^Q2o-> yi— 10 2° ' " l io 20 '• 



Whence ^=132° 39' 44".3 ; log. #=98.4527380. 



Nl =+0.0283621; _# JF =+0.000009533; 



.#/ =-0.0078418; 27/ =+0.000013457; 



#7' =-0.0063234; #T' =-0.0000070408; 



^'"=-0.0013254; #7' =-0.00000041736. 



For the root g 2 =— 17".3937133, we get, 



68626660 28878680. _ 0.4885253 



X 2 JQ20 > 2/2 + JQ20 ' Z 2 10 10 



Whence &=292° 49' 18".4; log. #=97.1830089. 



27 2 =+0.0015241 ; #/ r =-0.000002521 ; 



_# 2 ' =-0.0084789 ; 27/ =-0.000021385 ; 



JVT 2 " =+0.0069555 ; 27/ 1 =+0.0000020884 ; 



_Zyr 2 '"=+0.0506625 ; iV 2 F/J =+0.0000002395. 



For the root # 3 =— 18".4091136, we get, 



67244580 22173520 _ r _ 1.925 5 992 



%3 Jq20 > 2/3 -^Q-20 ' Z i -[Q 10 



Whence ft=251° 45' l".l ; log. #,=97.5655046. 



jSf s =+0.0036771 ; 27 3 1T =-0.00000007206 ; 



2% =-0.0224258 ; 27/ =-0.0000005538 ; 



_#" =+0.0244750 ; 27/ 1 =+0.00000004622 ; 



#3" =-0.0375997 ; 27/ =+0.000000005126. 



For the root # 4 =0", we get, 



0.7 310062 02158651 27.46919 



®i — -\ jgf^ 5 Vi — io'° ' Zi 10 10 



Whence /3 4 =106° 27' 6".5 ; log. #=98.4432303 ; 



#=#=#"=#'"=#/=:# 4 =# 4 , "=# r "=+0.02774790. 



For the root g 5 =— 0.6634935, we get, 



_ , 0.1014674 , 0.2722315 _ 222.4744 



x b — ~\ JqTo > i/& — H~ \qw ; Zb 10 10 



Whence &=20° 26' 30".0 ;- log. # I7 =97.1159056. 



JV 6 =+0.0016101; 27 5 IV =+0.00130589 



27: =+0.0014779; 27/ =+0.00126053 



.#"=+0.0014476; 27/' =-0.00120371 



# 5 '"=+0.0013738; 27/ '=—0.0116801. 



