48 SECULAR VARIATIONS OF THE ELEMENTS OF 



For the root # 6 =3".716714, we get, 



0.4584871 „„ w _ , 0^7341^. g _ ■ 22.51143 „ 



10 1 



Whence #,=28°' 9' 13".5 ; log. iV 6 "=8.6351298. 



jV/ r =+0.0431648; 

 NJ =+0.0341050 ; 

 tf B " = — 0.0448615; 

 JV/ J =+0.0014203. 



iV 6 =+0.0243977 

 JV 6 =+0.0165257 

 N: =+0.0162732 

 JV 6 '"=+0.0187798 



Tor the root # 7 =22".460892, we get, 



1.009497 A7IV . 0.7872134 .,„ 81.35929 m 



*7= — wo — N i ' M=-\ — up — ^ ' " ? -h — w° 7 • 



Whence &=307° 56' 50".6 ; log. 2^=8.1941936. 



N 7 =-0.0000994 ; N 7 IV =+0.0156384 ; 



N 7 =+0.0003396 ; N 7 r =-0.0483507 ; 



N r ' =-0.0024030 ; N™ =+0.0018058 ; 



JV 7 " =-0.0150672 ; 2V 7 r ' '=+0.00013650. 



The difference between the values here given, and the values depending on the 

 adopted masses, manifestly measures the increment arising from the supposition 

 that p=f ; and two-thirds of this difference is the coefficient of [i, in the expression 

 for the values of the constants corresponding to any other value of [i. 



26. We shall now suppose that [i- 

 ' = (l+_i_)_^390000=l -^371428.6. 



A[oTo]=— 0'. 1499336: 



A[m]= o. 



AGE3=— 0.2665548: 

 A|T^]=— 0.0241609; 



:+2V' an( l * ne mass 0I " Venus will become 

 Using this mass, we shall find, 



A[77j]=— 0".0002106; 1 



A [±J] =—0.-0000246; 

 A R^=— 0.0000021; 

 Atn3=— .0000004. j 



y (193) 



Whence, 



[sy\=g— 5".7201894 

 [TTT|=g— 11 .3147682 



\7y^=g—lS .3387278 

 [TJ]= g — 17 .5770254 



fl~n=<7— 7".5125860; 

 U3=<7— 18.5962375; 

 \jy\=g— 2.7662543; 

 [7~T|=<7— 0.6479573. 



(194) 



These quantities give, 



r^T1|TTT1 — ^— 17.0349576.<7+ 64.7226171211 

 [Ml[i3=j'- 19.0589172^+ 76.3000493710 

 [oTo] [73=^—23.2972148.^+100.5439143766 

 |T7n riTT] =«y a — 24.6534960.'<7+150.9246131399 

 ■ rTTTHT7i]=ff 2 — 28.8917936.<7+198.8799680465 

 r?7il[?7il=g 2 — 30.9157532.ff+234.4551573443 



(195) 

 (196) 

 (197) 

 (198) 

 (199) 

 (200) 



