THE ORBITS OF THE EIGHT PRINCIPAL PLANETS. 



149 



For the root g b , we get, 



g b =— 0".6675803, 

 tf 6 = + 1.234453iV 6 ' F 

 N b ' = + 1.132464^" 

 N b =+1.109145iV/ 7 

 iV 6 '" =+1.049894iV 5 " 

 N/ =+0.9655282V 6 " 

 #,"=— 0.9257062^" 

 2V"=— 9.910500iV' 7 



log. 0.0914746 



" 0.0540246 



" 0.0449882 



" 0.0211454 



" 9.9847648 



" 9.9664731m 



" 0.9960956m 



For the root g 6 , we get, 



g 6 =— 2".9514286, 



K 



=+ 3.6381 6 N Q ir 



log 



0.5608818 





w 



=+ 2.08409A 7 / F 



(C 



0.3189167 





iv 6 " 



=4- 1.86452jV"/ f 



u 



0.2705668 





i?<r 



=+ 1.31997iV/ r 



t( 



0.1205640 





W 



=+ 0.816989iV 6 /r 



(C 



9.9122164 





K 1 



=— 20.18151JV r ' F 



C( 



1.3049538m; 



iV 6 F '= + 2.139190^/" 



u 



0.3302494. 





For the root g 7 , we get, 



0,=— 26". 1183694, 

 JV 7 =— 0.0416526iV 7 " 

 JV/ =—0.0489363^" 

 N 7 " =— 0.4267197V/" 

 jV 7 "' = — 1.440405iV/ r 



N/ =—2.42982^/" 



JV 7 r/ =+0.108637iV/ r 



JV T r "=+0.012173iV/ r 



loii 



8.6196418m 

 8.689631 5n 

 9.6301420>i 

 0.1584846m 

 0.3855740m 

 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=— 5". 1293390, we get, 



j_ 1589168.6 140213200 



10 2 



_ 606572 



y=- 



io 20 ' 10 20 



Whence /?=20° 53' 20".5 ; and log. #=9.0839064. 



N =+0.1213127; N 1V =— 0.00002496; 



#'=+0.0148551; N r =—0.000031737; 



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



N'" =+0.00212364 ; N" =+0.0000007563. 



