of the velocity in an excentric orbit is known, though he does 

 not remember having met with it ; but conceived that it might 

 properly be mentioned here, as being a very easy and imme- 

 diate consequence of the present analysis : respecting the 

 general principles of which analysis, the reader is requested 

 to consult the Abstract, already referred to, of the communi- 

 cation of November, 1844, printed at the commencement of 

 the present volume of the Proceedings of the Academy. 

 There is no difficulty in deducing, on the same principles, 

 from formulae of the present paper, the known differential 

 equation, 



which connects the radial component of velocity with the 

 heliocentric distance and the time, and may be integrated by 

 the usual processes. 



