THE ORBITS OF THE EIGHT PRINCIPAL PLANETS. H9 



For the 1'oot g M we get, 



#5= 0".6675803, 



N 5 " =+1.109145tf," 



NJ =+0.965528W 6 /r 

 A7 7 = 0.925706JV," 



For the root 



we get, 

 # 6 = 2".95 14286, 

 N 6 =+ 3.6381 6^V 6 ' r 

 JV a ' =+ 2.08409^" 

 N e " =+ 1.86452^^ 

 JV/' =+ 

 N 6 r =+ 



log. 0.0914746; 



" 0.0540246 ; 



" 0.0449882; 



" 0.0211454; 



" 9.9847648; 



" 9.9664731w; 



" 0.9960956. 



log. 0.5608818; 



" 0.3189167; 



" 0.2705668 ; 



" 0.1205640; 



" 9.9122164; 



" 1.3049538; 



" 0.3302494. 



log. 8.6196418ra; 



" 8.6896315n; 



" 9.6301420%; 



" 0.1584846; 



" 0.3855740n; 



" 9.0359788; 



" 8.0853954. 



23. If we now substitute these values in equations (408) and (409), we shall 

 obtain the following quantities: 



For the root g= 5M293390, we get, 



For the root / 7 , we get, 



^=26". 1183694, 

 JV 7 = 0.0416526iV T / 

 JV/ = 0.0489363 JV/ 

 NS =0.426719^ 

 JV 7 '" = 1. 440405 JV r / r 



, 606572 



3!- _L- T/ 



1589168.6 

 10 20 



z==- 



140213200 



Whence (3=20 53' 20".5 ; and log. JV=9.0839064. 



N =+0.1213127; ^^=0.00002496; 



JV' =-[-0.0148551; ^"=0.000031737; 



N" =+0.0106362 ; N" =+0.000028671 ; 



N'" =+0.00212364; 2V F7/ =+0.0000007563. 



