﻿472 A NEW METHOD FOR CORRECTING A PLANETS ORBIT. 



20. As an example, we have selected the planet Aglaja @. But few observations 

 of it were made near its first observed opposition, in 1857 ; and five normals contain as 

 much of the material at hand, as, on account of its scattered nature, we have thought 

 it well to use. For several very exact nonnals do not help the matter much, if they 

 must, from the nature of the case, be so combined with less exact ones that the burden 

 shall fall on these last ; the chain is not stronger than its weakest link. 



The normals are : — 



<5 



O ( (J 



—0 49 44.2 

 —2 11 17.4 

 —1 45 47.6 

 +3 32 41.7 

 +7 52 1.2 



Assuming the foUoAving for the logarithms of two geocentric distances, 



Sept. 17.5 0.201821, Nov. 16.0 0..307251, 



the resulting elements, referred to the equator and mean equinox of 1857, Jan. 0, were, 



Epoch, 1857, Nov^ie.O 



M" 46 20 24.3 



to, 313 31 56.7 



J2, 49 9.5 



t. 28 27 7.0 



q,° 7 21 56.8 



fi" 12 5.719 



The other normals were represented thus, 



C. — O. 



