THE ORBITS OF THE EIGHT PRINCIPAL PLANETS. 47 



For the root g l T.538699, we get, 



4456102^. 5531411 253588600 



x i +~ 10-" *' Jl ~ ' UP" "i --- 10* -- * J 



Whence =38 13' 16".2; log. JVi=8.4434891. 



JV, =+0.0277645; Nf =+0.00001203; 



N l '= 0.0242855; . #/ =+0.00001259; 



#,"= 0.0191586 ; Ai" =0.000002963 ; 



.AY"= 0.0032310 ; #/"= 0.0000001287. 



For the root g 2 = 17". 127986, we get, 



22856900 , r , 49895050 Ar , 3.332267 , 



* 2= ~~ *' y2== +' 2 2; **=+- io N *> 



Whence ^ 2 =335 23' 35". 1 ; log. JV 2 =7.2167768. 



^ =+0.0016473; ^"=0.00000124; 



NJ =0.0126245 ; N a r =0.00000796 ; 



N," =+0.0122872; N z " =+0.000000482; 



^"'^+0.0299815 ; JV 2 m =+0.0000000355. 



For the root g z = 17". 836 030, we get, 



, 111304510 A7 112878600, r . 8.789905 



^3=-H --- 1(^5 -- fi ^3= i( p ---- N *> %=-\ --- J Q1 



Whence /3 3 =135 24' 8".2 ; log. V,=7.2561145. 



N 3 =+0.0018035 ; N 3 tr =+0.000000872 ; 



NJ =0.0148692 ; N 3 r =+0.00000947 ; 



JV 3 " =+0.01 75270; #,"=0.000000536; 



# 3 '"= 0.0720238 ; N 3 r "= 0.0000000397. 



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



. 3.358365 , , 1.360318 V/F . 56975.27 



SB *=H --- IO - ^* ' 2^*= ~ - ^ ' 2 ^= 



/3 4 =67 56' 57".9 ; log. A T 4 /r =95.8034310. 



N, =+0.00000761 ; N" =+0.00006359 ; 



#; =+0.00001098 ; # 4 F =+0.00007172 ; 



JV 4 '' = +0.00001345; NJ 1 =+0.00155816; 



^'"=+0.00002194 ; JV 4 r;/ =+0.0100415. 



For the root # 5 = 2". 727688, we get, 



. 0.6475863 v/r 0.1743984 v/r . 345.0960 ^ 



X;> ~ "io in ' ^ 6= "lo 70 "" 6 "~ "lo 10 6 ' 



Whence &=105 4' 20".9 ; log. AV r =7.2885615. 



N, =+0.00056101 ; N b IV =+0.0019434 ; 



#; =+0.00054730 ; N* =+0.0017692 ; 



JV 6 " =+0.00057711 ; N =+0.0297331 ; 



^ 6 "'=+0.00077525 ; N t m =- 0.0029105. 



