THE ORBITS OF THE EIGHT PRINCIPAL PLANETS. 



143 



log. 9.0786680, 



" 8.9319690, 



" 8.2292796, 



" 6.3052894», 



" 6.4094494re, 



" 6.350524:3, 



" 4.8007224. 



log. 9.4535581k, 



" 9.3585790k, 



" 8.6764453k, 



" 6.5355307, 



" 6.6851294, 



" 6.3966770k, 



" 5.1817351k. 



The solutions of equations (479-490) will now give the following values: — 

 For the root g, we get, 



g=— 5".153064, 



N =-f0.1198583iV 



N" =+0.08550057iV 



N"' =-|-0.01695429iV 



N" =— 0.0002019713iV 



N v =— 0.00025671 40iV 



N" =+0.0002241425 AT 



iV r "=+0.000006320077iV 



For the root g lt we get, 



gy=— 6".635874, 



N; =— 0.2841568iV; 

 N{ =—0.2283353^ 

 W =— 0.04747286iV; 

 N 1 1V = +0.000343 187JV, 

 N r r =+0.0004843167iV t 

 N™ =—0.0002492740^ 

 N 1 r,I =— 0.0000151962^ 



For the root g 2 , we get, 



</ 2 =-17".520779, 

 N 2 ' ==— 5.627642iV 2 

 N 2 " =-f- 4.727661iV 2 

 N 2 "' =-j-31.11766iV 2 

 iV 2 /r =— 0.001595785iV 2 

 N 2 T =— 0.01334776iV 2 

 N 2 VI =+ 0.001291801^ 

 iV 2 r/ =+ 0.0001489017iV 2 



For the root g s , we get, 



<7 3 =— 18".486192, 

 iV 3 ' =— 6.134120^ 

 N 3 " = + 6.742900^ 

 N a ' n =—11.29640^3 

 N s IT =-\- 0.000000955724^, 

 N a r =4- 0.0001854001^ 

 N™=— 0.0000 169937iV 3 

 iV 3 r// =— 0.000002026216i^3 



For the root g t , wo £et, 



gr 4 =0", and iV 4 =iV 4 '==iV 4 "=, &c. 



l0£ 



0.7503265k, 



0.6746463, 



1.4930069, 



7.2029742m, 



8.1254084h, 



7.1111957, 



6.1728995. 



log. 0.7877523k, 



" 0.8288466, 



" 1.0529402», 



" 93.9803324, 



" 96.2681100, 



" 95.2302878», 



" 94.3066957k. 



