THE ORBITS OF THE EIGHT PRINCIPAL PLANETS. 



47 



For the root g' 1 =7".538699, we get, 



. 4456102 „ mi . 5531411 v , 253588600 „. 



10 :u 



Whence /? 1= 38° 13' 16".2; 

 iV, =+0.0277645 

 JV/ =—0.0242855 

 #/=— 0.0191586 

 i\V"=— 0.0032310 



UP "'" ' 10-" 



log. ^=8.4434891. 



iV 1 /r =+0.00001203; 

 ^i" =+0.00001259; 

 #/'=— 0.000002963; 

 iVi w =4-0.0000001287. 



For the root g 2 = 1*7". 127986, we get, 



22856900 Ar 

 '»=— 10 ,o "^5 



Whence /i,=335° 23' 35". 1 ; 

 N 2 =+0.0016473; 

 iV 2 '=— 0.0126245; 

 JV 2 " =+0.0122872; 

 ^'"=+0.0299815; 



, 49895050 , r , 3.332267 „. 



y»=H — io^o— **"> 2 ^=+— 1010—^2- 



log. jV 2 =7.2107768. 



NJ r =— 0.00000124; 

 NJ =—0.00000796; 

 NJ' =+0.000000482; 

 NJ 1 =+0.0000000355. 



For the root gr 3 =17".836030, we 

 111304510 



get, 



H~ 



10' 20 



Whence /? 3 =135° 24' 8".2; 

 N 3 =+0.0018035 

 N 3 ' =—0.0148692 

 NJ =+0.0175270 

 #,"=— 0.0720238 



K: ?/,= 



log. 



112878600 



N 3 ; 



=+ 



8.789905 

 ~10 10 ~ 



10 20 



^=7.2561145. 



J\T 8 /r =+0.000000872; 

 NJ =+0.00000947; 

 ^3"=— 0.000000536; 

 NJ"=— 0.0000000397. 



w 



For the root <jr 4 =0".6166852, we get, 

 , 3.358365 AT/r 



»*=+— l7 jio -^ :y*=- 



Whence &=67° 56' 57".9 ; lo< 

 N 4 =+0.00000761 

 JV,' =+0.00001098 

 NJ =+0.00001345 

 ^"=+0.00002194 



1.360318 

 10 10 



nj 



56975.27 



" ' 10 10 



A T / r =95.8034310. 



JV 4 ,r =+0.00006359 

 NJ =+0.00007172 

 NJ* =+0.00155816 

 ^"=+0.0100415. 



For the root gr 6 =2".727688, we get, 



0.6475863 ylv 



X * +' 1Q10 5 



;?•=- 



0.1743984 

 "10" 



AV 



. 345.0960 



' Z 6 i 1Q10 ~ iV 5 • 



Whence /? 5 =105° 4' 20".9 ; log. J\y =7.2885615. 



N 5 =+0.00056101 

 A T 5 ' =+0.00054730 

 NJ =+0.00057711 

 JV r 5 '"=+0.00077525 



NJ r =+0.0019434 

 NJ =+0.0017692 

 NJ* =+0.0297331 

 NJ"=- 0.0029105. 



