1 
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 formulz of the present paper, the known differential 
equation, 
dr\?.¢ Br jt vp : 
(a) = * G-2-2) OP? 
which connects the radial component of velocity with the 
heliocentric distance and the time, and may be integrated by 
the usual processes. 
