DETEKMINATION OF ELLIPTIC ORBITS. 



145 



g 3 2 +-7l30624 



a 3 =-[9-3810712](g 3 +l-5798163)(l+.R 3 ) 



[9-5619251]r 3 - 3 



fti= + [9-6537283] (? 3 - -4630521)(l + 3 ) 

 y 3 = + [8-8361231] (g g + -5599304)(l + 3 ) 



corrected. 



With these corrected equations the last values of 

 the residuals 



a = -0001135 ft= - -0003934 



These give the corrections 



Aft = -0002887 Ag 2 = - -0000955 

 The next residuals are 



a = -0000035 /3 = '0000140 



which give the corrections 



Aft = - -0000217 Aft = -0000187 



J. J. -i - 



The next residuals are 



a = - -0000001 ft = -0000003 

 which must be regarded as entirely insensible. 



y =--0000326 

 = 0003302 



y=_ -0000003 

 = 0000424 

 = 0000000 



IX, X. 



It remains to determine the ellipse which passes through the points 

 to which the numbers relate in the last columns under the corrected 

 equations IIIj, III 2 , III 3 , and also the time of perihelion passage. 

 The computations are as follows : 



G. II. 



