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
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
- [KVPY 2012]
- A
$\frac{v_P}{v_A}=\frac{1+e}{1-e}$
- B
$\frac{v_P}{v_A}=1$
- C
$\frac{v_P}{v_A}=\frac{1+e^2}{1-e}$
- D
$\frac{v_P}{v_A}=\frac{1+e^2}{1-e^2}$
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