54 



SECULAR VARIATIONS OF THE ELEMENTS OF 



For the root # T =22".460913, we get, 



1.009492 



, TIT 



"! 2/7 - 



0.7872137 



~ 1Q10 



81.858790 



iV 7 



Whence /? 7 =307 56' 51".l ; log. 7V/ r =98.1941950. 



N, =0.0001039; N, IY =+0.0156385; 



Nj' =+0.00036828 ; N, T =0.0483506 ; 



N,"= 0.00247996 ; N, n =+0.0018058 ; 



^"=0.0150873 ; JV 7 r "=+0.0001365. 



28. We shall now suppose n"=-{- s \ ; or, the mass of Earth to be 

 -=-368689=l-j-351132.4. Using this mass, we shall find, 



A[oTo]= 0".0430854; 

 A|T7T1= 0.3315294; 



A[sT3]= 0.0878224; 



Whence we get, 



\^\=g 5".6133412; 

 |j7r]=_ll .6462976; 

 [T^]=ff 13.0721730; 

 f!TT| =g 17.6406869; 



[474]= 0".0004406 ; 

 FT^1= 0.0000502; 

 f^1= .0000043 ; 

 |77T1= 0.0000009. 



]=_ 7".5128160; 

 ]=^_18 .5962631 ; 



g 2.7662565; 



=_ 0.6479578. 



These quantities give the following equations, 



]=/ 17.2596388.^+ 65.3746421455 ; 

 =0" 18.6855142.^+ 73.3785672744; 

 ]=/ 23.2540281.^+ 99.0231945721 ; 

 p7n|Tri1=(7 2 24.7184706.<y+152.2424170367; 

 [777] |T^l= ( y 2 29.2869845. |( /-i- 205.4486895058; 

 [iniFTTI <7 a 30.7128599.(y+230.6021 109956; 



QZIEd]=/ 26.1090791.^+139.7103029579; 

 Q7I][T8]==^ 2 10.2790725.^r+ 20.7823760933 ; 



]=/ 8.1607738.^+ 4.8679877272; 



]=/ 21.3625196.^+ 51.4420336761 ; 

 y_19.2442209.#+ 12.0495937275 ; 



]=/ 3.4142143.?+ 1.79241747598. 



]=/- 47.9724987.^ + 826.06962154./ 

 -5987.951367523.<7 +15075.53048434* 



]=9 4 29.5232934,<7 3 +230.64471 166.</ 2 

 -523.79928387.^ +250.41918860 



We shall therefore obtain the following 



(232) 



(233) 



(234) 



(235) 



(236) 

 (237) 



