First slide
Motion of planets and satellites
Question

A planet is revolving in an elliptical orbit around the Sun. Its closest distance from the Sun is rmin and the farthest distance is rmax. If the velocity of the planet at the distance of the closest approach is v1 and that at the farthest distance from the Sun is v2, then v1/v

Easy
Solution

Conserving angular momentum,

mv1rmin=mv2rmax or v1v2=rmaxrmin

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