main

prev        

Statement of a problem № 3339

        next    

A particle of mass m describes an elliptical orbit of semi-major axis "a" under a force mk/r^2 directed to a focus. Prove that (a) the time average of reciprocal distance 1/T int[dt/r]=1/a (b) the time average of square of the speed 1/T intv^2dt=GM/a

Solution:
A particle of mass m describes an elliptical orbit of semi-major axis

New search. (Also 5349 free access solutions)