THE ORBITS OF THE EIGHT PRINCIPAL PLANETS. 73 



E =+[9.6231944]6"; 

 E'= J24.1934821 #j[8.584702S]6"; 

 K'= \ 17.70073515 #j[9.6375865]6"; 

 ,#'"= -(-[0.951 89 13]Z>". 



F =_ [7.649909 !]&'"; 



J F'=+[8.9577383]i'"; 



F" = \ 14.08448433 # } [0.8407439]6'" ; 



1= )37.3815426 #j[9.4809266]Z>'". 



(298) 



(299) 



^7-4.7961712^; ,= )</- 0.6813625937 |& t ; 1 g()()) 



} i > ' 



Cf= 



3 = {018.848037412 



{4.374464644 <^[9.2840950]& 2 ; 



{0.6897012996 #j [9. 182431 1]Z> 2 ; 

 -[0.6832317]6 2 ; 

 [0.6834824]6 2 ; 



(301) 



j 43.9170208 -^[8.2017618]& 3 ; 

 \ 0.649794819 <7J[0.7610455]6 3 ; 



(302) 



(303) 



^=[7.0339474]^; 



jF 2 =+[0.2724895]6 4 ; 



F,= { 2.780036238 0} [1.7737962]6 4 ; 



F t = {50.5474564 -0j[9.1128486]6 4 ; j 



0* 47.7853999./+793.57041154.0 2 1 v 



-5313.7879554.*7-f 12250.8363744 J = 



tf 29.7164348.0+174.4588860.^' ) _, x 



-327.5400877.^ +142.7433842 j = 



The values of 6,, Z> 2 , & 3 , and 6 4 are given by equations (119); and the values of 

 6, U, b", and 11" 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; 

 9l = 7.29977391; 

 ^ 2 =17 .09470611 ; 

 # 3 =17.90916970; 



10 November, 1871. 



g t = 0".61 8590378; 

 # 6 = 2.73702595; 

 # 6 = 3.72450143; 

 #,=22.63631704. 



(306) 



