Question

The maximum and minimum distances of a planet from sun are $r_1$ and $r_2$ respectively. If minimum velocity is $V_1$ and minimum velocity is $V_2$, then the ration $V_1 : V_2$ is:

Hint:

Remember the see-saw relationship in elliptical orbits due to angular momentum conservation: Largest radius goes with smallest velocity, and smallest radius goes with largest velocity ($v \propto 1/r$).

Answer 1