THE ORBITS OP THE EIGHT PRINCIPAL PLANETS. 



93 



For the root g if wc get, 



^=0".6142754; 





N, =+ 0.1212222iV 4 /F 



log 



9.0835822; 





i\r; =-f_ 0.1842843^'" 



U 



9.2654883 ; 





JV 4 " =+ 0.2134704^ 



(C 



9.3293498 ; 





iV 4 '" =+ 0.3454170iV 4 ' F 



tt 



9.5383437 ; 





JV; F =+ 1.12795(LY 4 /r 



" 



0.0522920 ; 





NJ'=+ 24.27190^'" 



(C 



1.3851038; 





i^" / =+145.26667iV 4 7r 



M 



2.1621660. 



^or tlie 



root g^ we get, 



</ 5 =2".7706502; 









JV 6 =+ 0.2995950iV 6 ' F 



log. 



9.4765344; 





iV" 5 =-|- 0.2898491iV 5 /F 



" 



9.4621720; 





iV 6 " =4- 0.3027071iV 5 /F 



« 



9.4810226; 





JV B W =-|- 0.4009023iV 5 ' F 



" 



9.6030386 ; 





N b v =+ 0.9054583iV;/ r 



(c 



9.9568685 ; 





iV" 5 "=+14.64440iV 5 7F 



u 



1.1656714; 





NJ"=— 1.406558W7 F 



l< 



0.1481577m 



For the root g^ we get, 



# =3". 7226566 ; 



N e =+0.5703212iV ( / F log. 9.7561195; 



N' =+0.3855324iV /r " 9.5860609; 



JV " =+0.3792427iV/ F « 9.5789172; 



iV 6 '" =+0.4357298.V/ F " 9.6392173 ; 



N 6 V =+0.7895770iV G JF » 9.8973944; 



iV r/ = — 1.083630iV/' « 0.0348810n: 



JV 6 r "=-f().0356831iV ' F " 8.5524627. 



For the root g 7 , we get, 



</ 7 =22".4668172; 

 iV r =— 0.006229914iV 7 " log. 



N 7 ' =+0.02023760iV/ F 

 iV 7 " =— 0.151 9652iV 7 ' F 

 N," =— 0.9604665iV/ r 

 iV. F =-^3.092542iV/ F 

 iV 7 FJ =+0.1157082iV/ F 

 JV 7 r "=+0.008726764;V 7 "' 



7.7944821m ; 



8.3061590 ; 



9.1817441^ 



9.9S24823« 



0.4903156« 



9.0633640 ; 



7.9408532. 



41. These numbers are now to be substituted in equations (134) and (135). We 

 must also add the logarithm of \-\-{i" r , to those of 



, vir„ rit> „ r//„ vn ' 



A m V 



in order to obtain the numbers which are to be used in this computation. 



