THE ORBITS OF THE EIGHT PRINCIPAL PLANETS. 155 



For the root (j i =^ — 6".5922959, we get, 



696641 640902.9 



»i=+- 



2/i=- 



1Q 20 > Jl 1Q 20 ' 



Whence ft=132° 41' 2".3 ; log. iVi=8.4538431. 



33247150 

 10 2o • 



# =+0.0284342 

 JV/ =—0.0078621 

 #"=—0.0063398 

 #'"=—0.0013288 



# /r =+0.000009570; 

 # r =+0.000013498; 

 #" =—0.0000069904 ; 

 # m =— 0.0000004076. 



For the root g,=— 17". 3938608, wo get, 



686 15050 



1(P 



I/-2-- 



28882030 



10* 



0.4884728 



io 10 • 



Whence /3 2 =292° 49' 39".4; log. #2=97.1830006. 



# =+0.0015241 ; 

 #' =—0.0084788 ; 

 #" =+0.0069557; 

 #'"=+0.0050658 ; 



For the root g z =— 18".4092048, we get, 



#'"=—0.0000025292; 

 #/ =—0.000021373; 

 #" =+0.0000020823 ; 

 #"=+0.00000023809. 



0.006724489 

 10 10 



y a 



0.002217478 

 10 10 



1.9257107 



10 1 



Whence /3 3 =251° 44 58".0 ; log. #=97.5654837. 



# =+0.0036769 

 #' =—0.0224249 

 #"=+0.0244742 

 #'"=—0.0376018 



For the root <7 4 =0", we get, 

 , 0.7265241 



#' r =— 0.00000007222; 

 #/ =—0.0000005523 ; 

 # r/ =+0.000000046; 

 #"'=+0.00000000512. 



y*= 



0.2110814 



27.31188 



* ' 1010 - if* 10 10 > ~4— 1Q10 • 



Whence /? 4 =106° 12' 1".7; log. #=98.4424954. 



#=#'=#"=#"'=#' r =JVr/ = JVr/' = Ar "'=0.0277010. 



For the root g b =— 0".6735122, we get, 



0.1020975 



:>/:,-- 



0.2702021 



■ I 10 io » i/a— I 1Q i 



Whence &=20° 42' 11".2 ; log. #' r =97.0793126. 



240.6404 

 10 10 ' 



# =+0.0014850 

 #' =+0.0013612 

 #" =+0.0013329 

 #'"=+0.0012609 



#' r =+0.001 20036; 

 # r =+0.0011579; 

 # r/ =— 0.0011251; 

 #/"=— 0.0117624. 



