THE ORBITS OP THE EIGHT PRINCIPAL PLAJMETS. 



For the root g^ we get, 



<7 4 =0".6142754; 

 N, =+ 0.1212222^' 

 Nl =+ 0.1842843# 4 ' 

 N; =+ 0.2134164iV 4 / 

 iV/' =+ 0.3454 170iV 4 ' 

 tf/ =+ 1. 127956 N t " 



Ar r "= -4-145.26667 



For the root </ 5 , we get, 



<7 6 =2".7706502; 



N, =-f 



-f 0.2898491JV 5 /r 



JV/' =- 0.4009023^ 6 / 

 N b r =+ 0.9054583^ 5 7 

 lf, w =4-14.64440^," 



JV 5 r// =- 1.406558^ 



For the root ^ 6 , we get, 



^ 6 =3".7226566 ; 

 N e =+0.5703212^" 

 JV 6 ' =+0. 3855324^" 

 JV 6 " =-(-0.3792427JV 6 /r 

 N,f" =+0.4357298^" 



^V 8 "= 1.083630^ 

 JV 6 m =+0.0356831JV 6 



" 



/r 



For the root <7 7 , we get, 



^ 7 =22".4668172; 

 N 7 =^0.006229914^ 

 N 7 ' =+0.02023760^/ r 

 NI" = 0.1519652JV/ r 

 Nf = 0.9604665^V 7 /F 



log. 9.0835822; 



" 9.2654883 ; 



" 9.3293498 ; 



" 9.5383437 ; 



" 0.0522920; 



" 1.3851038; 



" 2.1621660. 



log. 9.4765344; 



" 9.4621720; 



" 9.4810226; 



" 9.6030386 ; 



" 9.9568685; 



" 1.1656714; 



" 0.1481577. 



log. 9.7561195; 

 " 9.5860609 ; 

 " 9.5789172; 

 " 9.6392173; 

 " 9.8973944 ; 



" 8.5524627. 



log. 7.7944821M ; 



" 8.3061590; 



" 9.1817441n; 



" 9.9824823n ; 



" 0.4903156n; 



" 9.0633640 ; 



" 7.9408532. 



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



r// m rfl m v " 



must also add the logarithm of l-f-ft" 7 , to those of VII VIf V ,,- VI J^"-, and ~ rif VI f"-> 



it/ CL it/ (t iv " 



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



