THE ORBITS OF THE EIGHT PRINCIPAL PLANETS. 



91 



E =+[9.6231944]/."; 



E' = J24.1515714 — g \ [8.5847028]//; 



E"= [ 1 7.55449726—^ } [9.6375865]//' ; 



#'"=+[0.9518913]/."; 



(355) 



F =—[7.6499091]/*'"; 



#'=+[8.9577383]/.'"; 



F"= \ 14.01399313— g j [0.8407439]/.'" 



F m = J 37.3396319 —</| [9.4809266]// 



C 1 = \ 4.408417144 — ^[9.2840950]/> 2 ; ' 

 C 2 = \ 0.6919059696— g \ [9.1824311]& 2 

 C a =— [0.6832317]5 2 ; 

 C 4 =— [0.6834824J& 2 ; 



jE t =+[7.8267723]& 3 ; 



E 2 = J 43.7414213 — .9 1 [8.2017618]/. 3 ; 



E 3 = j 0.648008841— g\ [0.7610455]Z> 3 ; 



# 4 =+[1.0655652]/. 3 ; 



(356) 



^ = ^—4.83012371/.,; B^g— 0.682733393 }&,; 1 r351 v 



5 3 =b— 18.672437912 (/>,;{ C ' ' 



(358) 



(359) 



F 1= — [7.0753401]6 4 ; 

 F a =+[0.3i38822]6 4 ; 



# 3 = | 2.813958738— # j [1.7737962]/.,; 

 Ft= J50.37185686 — ^|[9.1128486]6 4 . 



(360) 



g*— 47.5107777./+784.55104690.*/ 2 1 * f361 



—5224.5598798.(/+ 1 1982.9930837 1 j — Cz ' **' * 2 ' Zi,; ' *■ 



^-29.5753988^+174.01843537.^ 1 2) 



—327.77137981../ +142.39163768 j «**■•*•*" v ' 



The values of Z» 1? /. 2 , /. 3 , and /»_, are given by equations (119); and the values of 

 />, /»', /.", and /»'" are given by equations (118), by simply adding log. (l+|« r ")= 

 [0.0413927], to the coefficients of N r ". 



Putting equations (361) and (362), equal to nothing, they will give, 



g= 5". 463758326 

 fft= 7 .247841113 

 '^=17.014463042 

 #,=17 .784715218 



g i= 0".6142757037 ; 

 g b = 2.770720524; 

 g 6 = 3.723848045; 

 #=22 .466554527. 



(363) 



