48 SECULAR VARIATIONS OF THE ELEMENTS OF 



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



0.8567341 . 22 



io 



0.4584871 



. , ,0.8567341 



; 9*=+- - - - 



22.51143_ 



"".to "t 



Whence #,=28 9' 13".5 ; log. # 6 ' r =8. 635 1298. 



# 6 =+0.0243977 ; # fl ' r =+0.0431648 ; 



# 8 =+0.0165257; #/ =+0.0341050; 



#; =+0.0162732; # u " = -0.0448615; 



# 8 "=+0.0187798 ; #" '=+0.0014203. 



For the root ^ 7 =22".460892, we get, 



1.009497 ., , 0.7872134 . 81.35929 r , 



r ^7 ;yr= -,-TVO ^ ' ' ~r" 10' 7 ' 



10" 



10" 



Whence ft=307 56' 50".6 ; log. #/ r =8.l941936. 



# T =0.0000994; # T /r =+0.0156384; 



# 7 =+0.0003396; #/ =0.0483507 ; 



#7 =0.0024030 ; #/' =+0.0018058 ; 



#/=-0.0150672 ; # 7 m =+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 fi=| ; and two-thirds of this difference is the coefficient of //, in the expression 

 for the values of the constants corresponding to any other value of //. 



26. We shall now suppose that n' 

 =l -4-371428.6. 



Ap^n= 0'. 1499336; 



Arrq= 0.2665548 ; 

 A[I^1= 0.0241609; 



Whence, 



[oTo]= i 7 5".7201894; 

 (TT)=0 11 .3147682; 

 [Tnn=<7 13.3387278; 

 |1TT1 =(717.5770254; 



These quantities give, 



I 1* 17.0349576. 

 1 =</' 19.0589172. 

 [sTTj =g> 23. 29721 48, 

 ly 2 24.6534960 

 =p 28.8917986 

 l=<y 30.9157532 



+^, and the mass of Venus will become 

 Using this mass, AVC shall find, 



A[TT]= 0".0002106; 1 



A^Tj] = .-0000246 ; I , 9 . } . 



A|7TT|= .0000021 ; j 



AH7T|= .0000004. J 



j7 7".5125860; 

 / 18.5962375; 

 g 2.7662543; 

 < 7 0.6479573. 



64.7226171211; (195) 



76.3000493710; (196) 



(7+100.5439143766; (197) 



i/+150.9246131399; (198) 



7+198.8799680465; (199) 



,<7+234.4551573443; (200) 



(194) 



