THE ORBITS OF THE EIGHT PRINCIPAL PLANETS. 



83 



For the root </ =2". 762311, we get, 



0.6624109 



10 l 



#' r ; y. 



0J9885(tf _361.8939 



Whence &=106° 42" 33".6 ; log. #,"=7.2812824. 



# =+0.00056935 

 #' =+0.00055240 

 #" =+0.00057725 

 #'"=+0.00076548 



For the root <7 = 3". 7 86 20 9, we get, 



#' r =+0.00191110; 

 # F =+0.00175147; 

 #" =+0.0299862; 

 #"'=- 0.00289381. 



0.4675181 



X: 



; 2/u 



0.8555864 



#. J 



22.61242 

 10 10 



■ I 10 10 -B - ^/U— I 1Qll 



Whence #=28° 39' 12".7 ; log. # G /r =8.6346522. 



# 6 =+0.0258909; # JF =+0.0431174 ; 



:+0.0342356 ; 



x: 



#' 



#" =—0.0440755; 

 #"'=+0.0013169. 



#'=+0.0169796; 

 #"=+0.0166303; 

 #'"=+0.0188976; 



For the root # 7 =22".575980, we get, 



1.004018 A7/r . 0.7872757 Arir 79.68195 XTJT , 



*i= jgio— W : Vi=~\ jqTo K v ; z 7=-^onr— W 2 - 



Whence &=308° 6' 3".2; log. #/ r =8.2044480. 



#=—0.0000979; #/ r =+0.0160121 ; 



#'=+0.0003062; 

 #"=—0.00240674 

 #'"=—0.0151034; 



#/ =—0.0480733; 

 #"=+0.0018317; 

 #"=+0.0001384. 



38. We shall now suppose that ^"=+7^; and the mass of Uranus will become 



1 _i_ r/ 1 



? " F ' = 24905 =r >T7T9' Using tn ^ s vaRle °f tne mass °f Uranus, we shall find, 



A[oTo]=— 0".0000666 

 A|TT|=— .0001705 

 Afa7i1=— .0002778 

 ArjTs] =— 0.0005261 



Whence we get, 



\EH\=g— 5".5703224; 

 ITTH— 7— 11 .3149387; 

 rm=ff— 13.0724508; 

 |T^=r/— 17 .5533906 ; 



A[g]=— 0". 0037881; 1 

 A[H] =— ° -0139141 ; ( 

 AE3= 0. ; |" 



AFTT] =— 0.0130554. J 



\±Z\=g— 7".5161635; 

 [77q= y —18.6101270; 

 prr?1=<7— 2.7662522; 

 [777]=^— 0.6610123. 



(326) 



(327) 



