A planet orbits in an elliptical path of eccentricity e around a massive star considered fixed at one of the foci. The point in space where it is closest to the star is denoted by P and the point where it is farthest is denoted by A. Let `v_(p)` and `v_(a)` be the respective speeds at P and A. Then–

Options

A. `(v_(P))/(v_(A)) = (1+e)/(1-e)`
B. `(v_(P))/(v_(A)) = (1+e^(2))/(1-e)`
C. `(v_(P))/(v_(A)) = 1`
D. `(v_(P))/(v_(A)) = (1+e^(2))/(1-e^(2))`

Answer

A