THE ORBITS OF THE EIGHT PRINCIPAL PLANETS. 



73 



E =+[9.6231944]//; 



E' = {24.1934821 —g\ [8.5847028]//; 



E"= \ 17.70073515— ^j [9.6375865]//'; 



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



F =— [7.6499091]//"; 



F' =+[8.9577383]//'; 



F" = \ 14.08448433— g \ [0.8407439]//' ; 



F'"= ) 37.3815426 — #< [9.4809266]//. 



£ 1 = j^_4.7961712}6 1 ; B 2 =\g— 0.6813625937 16, ; 

 B 3 =\g— 18.848037412 \h 



C x = |4.374464644 — ^}[9.2840950]6 2 

 C 2 = 1 0.6897012996— #j[9.1824311]/> 2 

 C 3 =— [0.68323 17]/> 2 ; 

 C 4 =— [0.6834824]& 2 ; 



^=+[7.8267723]^; 



E 2 = |43.9170208 — #j[8.2017618]/> 3 ; 



E 3 = j 0.649794819— #j[0.7610455]/> 3 ; 



J E' 4 =+[1.0655652]/> 3 ; 



Fy=— [7.0339474]& 4 ; 

 F a =+[0.2724895]6 4 ; 



F s = \ 2.780036238— #|[1.7737962]/> 4 ; 

 F t = J50.5474564 — ^|[9.1128486]5 4 ; 



;;} 



(298) 



(299) 



(300) 



(301) 



(302) 



(303) 



^-47.7853999./+793.57041154y !=/---,/). (304) 



—5313.7879554.^+12250.8363744] v ^»* l '* 8 " C8/ v 



^-29.7164348.^+174.4588860.^ ) } (M6) 



—327.5400877.^ +142.7433842 j wwvw v 



The values of />„ /> 2 , & 3 , and b i are given by equations (119); and the values of 

 b, //, />", and V" are given by equations (118), by simply adding log. (l+^' r )= 

 [0.004321,4], to the coefficients of N". 



Putting equations (286) and (287), equal to nothing, they will give, 



g= 5".48175018; <7 4 = 0".618590378; 1 



g 1= 7 .29977391 ; g b = 2 .73702595 ; 



^=17.09470611; g 6 = 3.72450143; 



^3=17 .90916970 ; £,=22 .63631704. 



10 November, 1871. 



(306) 



