THE ORBITS OF THE EIGHT PRINCIPAL PLANETS. 107 



+2(6,00, 00- 00 •')= — 3.858530.^— 2.5001G1 



+2(7, b)(s, 0(4,0(e,8)= — 0.182088.//— 0.503701 



-f2(7,6)(e, 6 )(5,7)(4,0= — 0.050095.//— 0.370332 



+2(7,0(4,6)( 6 ,7)(5,5)= — 0.011756.//— 0.218615 



+ (s,0(4,0(7,e)(e,7)= + 15.268077 



-f- (•,0(»,«)(t,4)(4,»)= + 0.001670 



+ (a.«)(*.a)(T,.)(«.T)=: + 0.001014 



— 2(v, 00.00. 0(«.0= — 0.319377 



— 2(7,«)(5,4)(4,6)(6,0= — 0.248866 



— 2(7,4)(4, 0(6, 0( 5 ,0= — 0.002603 



Sum of preceding terms =— 135.5553368.// 2 — 472.626581.//— 249.878554 



Add (4,0(5,00,00.0= 



/? 4 +29.5227974.// 3 +230.6343243.// 2 +523.7682780.//+250.403089 . 

 Sum is value of equation (54). 

 Whence we get 



^-29.5227974.^+95.0789875,/- 1 , . 



+51.141697.//+0.524535 f ~ [X " * 6 ' Zw Xl) ' [ ' > 



Equations (55-64) reduced to numbers are as follows, in which the numbers 

 inclosed in brackets are logarithms. 



N' =[0.561881 i] - Ji ^ =[0.8861924] ^J~^; (371) 



N" =[1.0276376] ' riV +/-=[0.2498875] ^^/- ; (372) 



^"'=[9.2072145] ^ N +/' r = [0.3092759] A " N +f J '■ (373) 



[9.4381189]/?/' — [9.1 138076] 27/ . (374) 



[9.1138076] AD — [9.4381189] AD' K 



[8.9723624] Df" —[9.7501 125]^/" . ■ . r375) 



[9.75011 25] ^"Z>"— [8.9723624] 4'j5 ' V 



[0. 7927855]/)"/ r — [ 9.6907241 ] Z>/ Jr . f37 g, 



[9.6907241] AD — [0.7927855] A"D" K 



N r =[0.4566913] =.^Z±^= [0.5650289] 4 '^"+^ ; (377) 



N" =[1.2562282] :=^Ii= 3 =[9.2757168] AaN J^* ; (378) 

 D 1 D 3 



N rr =[8.4485146] ^^^+^ =[0.5373636] A^+/e. (379 ) 

 D 3 D z 



_ [9.5433087]A/ 2 - [9. 4349711]Z) i! / 1 . ,g 80) 



~[9.4349711].4 1 Z» 2 -[9.5433087]^ 2 A' 

 _[8.7437 718]J>,/ 4 -[0.7242832]A/, (381) 



[0.7242832] J 3 A—[8.7437718]^ 2 A' 



