THE ORBITS OF THE EIGHT PRINCIPAL PLANETS. 



15 





,(46) 



B 





J I 4,lil| 5, fl | . ) , f | 4 , 5 1 1 li , f] | . ) , 



1 (50) 



,(49) 



=B +C +E ; 



? ' ; 1 

 f r =B"-\-C'"+F'"; j 



iTJ:; I (52) 



/.==j 



we shall have the following system of equations for the rigorous determination of 

 g, N', N", JV'", &c. observing that the terms of equations (29) and (30), which are 

 inclosed by braces, are reduced to single terms by means of equations (14) and (15). 



6,4)[4,6|[s,a]| 7,7| 



=(4, J&, ^6,^7); (54) 



