THE ORBITS OF THE EIGHT PRINCIPAL PLANETS. 



133 



Equations (455-466) will now give the following values: — 

 For the root g, we get, 



g=— 5".2136546 ; 



N' =+0.1200684iV log. 9.0794288; 



N" =+0.087 1180iV " 8.9401080; 



N'" =4-0.01844217iV " 8.2658120; 



N ZT =— 0.00021192257V " 90.3261770n; 



N 7 =_ 0.000271274JV " 96.4334082n; 



N" =+0.000228589^ " 96.3590546; 



N" =+0.0000069 10472iV " 94.8395077. 



For the root g x , we get, 



<;,=— 6".6692717; 



Ni =—0.2683056^, log. 9.4286296« 



N," =— 0.21891682V1 " 9.3402791n 



Nf =—0.04878432^ " 8.6882800» 



iV/ r =+0.00034441467^ " 96.5370815; 



N X T =+0.000489310^ " 96.6895841; 



2^"=— 0.0002476792V", " 96.3938898>i; 



2V,™=— 0.000015268322^ " 95. 1837912k. 



For the root g 2 , we get, 



tj a = — 17".6265859; 



tfj __ 5.554532V 2 log. 0.7446477n; 



JV^" =+ 3.67668ZV 2 " 0.5654561; 



2V 2 '" =+43.07312V 2 " 1.6342060; 



N 2 ir =— 0.001796712V, " 97.2544790n; 



2V 2 F = — 0.01729692V 2 « 98.2379690n; 



2V 2 "=+ 0.001644702V 2 " 97.2160878; 



2V 2 "=+ 0.000 1894692V 2 « 96.2775388. 



For the root g 3 , we get, 



£ 3 =— 18".9364959; 



Nl =— 6.279412V 3 log. 0.7979189»; 



2V 3 " =+6.067667V; " 0.7830214; 



N u " =— 7.198127V, " 0.8572192k 



2V 3 ' r = — 0.00004612217V 3 " 95.6639090n 



2V 3 r =— 0.001298152V S " 97.1133248» 



2V 3 r '=+0.0001076252V 3 " 96.0319138; 



2V7 "=+0.00001241767V 3 " 95.0940376. 



For the root g t , we get, 



^=0", N t =Nl—Nt"= &c. 



