THE ORBITS OF THE EIGHT PRINCIPAL PLANETS. 



57 



For the root g 3 , we get, 



</ 3 =17".9310572; 

 N; =— 8.3066142V; 

 2V 3 " =+ 9.369342V 3 

 2V'" =— 37.824002V; 



2V-=4- 

 N/ =+ 

 2V S W =- 



For the root </ 4 , we get, 



4 =O".6166859; 



0.0004077672V 3 

 0.004875492V 3 

 0.00027324572^ 

 0.000020276552V, 



=+ 



0.12103082V/ r 

 0.18409702V 4 /r 

 0.21343172V/ r 

 0.34451942V 4 /r 



1.1 2785 72V 4 ' r 

 2V/' = - 24.502772V 4 ,r 

 2V/"= + 157.90852V 4 /r 

 For the root g b , we get, 



&=2". 7276841 ; 



#4 



=+ 

 =+ 

 =+ 



N b ~- 



=+ 0.28880862V 6 ' r 



n; = 



=4- 0.284631 12V 6 /r 



n: = 



=+ 0.29918532V 5 /r 



2V 6 '" - 



= _j_ 0.39842172V/ r 



NJ = 



=+ 0.91041702V/ r 



2V™ = 



=-j-15.302942V 6 / '' 



2V 6 W = 



=— 1.4979412V/" 



For the root g 6 , we 



'get, 



g,-- 



=3".7169230 ; 



2V 6 = 



=+0.55338462^'" 



2V 6 ' = 



=+0.37993882V/ r 



2V 6 " = 



=-f0.37629702V/ r 



2V 6 '" = 



= -4-0.43424622V/ r 



2V/ = 



=+0.7901242V 6 "' 



2V 6 r ' = 



=— 1.0390902V/' 



N™= 



=+0.03288772V/ r 



For the root # 7 , we 



get, 



9r-- 



=22".4609846 ; 



2V 7 = 



=— 0.0066715892V/ 



2V 7 ' = 



=-+-0.026 184652V/ r 



2V 7 " = 



=— 0.15447782V/ r 



N 7 '" = 



=—0.9 76551 32V/ r 



N/ = 



=— 3.0917242V/ r 



2V 7 r/ = 



=+0.11546762V/ T 



N 7 "'= 



=+0.008728216^/ 



8 November, 1871. 



loi 



0.9194240?*; 



0.9717089; 



1.5777676»; 

 96.6104120; 

 97.6880184; 

 96.4365534« ; 

 95.3069941?*. 



log. 9.0828960 



" 9.2650466 



" 9.3292589 



" 9.5372136 



" 0.0522542 



" 1.3892152 



" 2.1984055, 



log. 



9.4606101 

 9.4542824 

 9.4759404 

 9.6003430 

 9.9592404 

 1.1847750 

 0.1754948?* 



log. 9.7430272; 



" 9.5797136: 



" 9.5755308: 



" 9.6377360 



" 9.8976*952; 



" 0.0166530ft; 



« 8.5170337. 



lot 



7.8242293?* ; 

 8.4180469 ; 

 9.1888659?*; 

 9.9896951?*; 

 0.4902020?* ; 

 9.0624601 ; 

 7.9409255. 



