KVPY2012PhysicsGravitation
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
- Av _ P v _ A = 1+ e 1- e
- Bv_ p v_ A = 1+e² 1-e
- Cv _ P v _ A =1
- Dv_ P v_ A = 1+e² 1-e²
Correct answer
A. v _ P v _ A = 1+ e 1- e
Step-by-step solution
Using conservation of angular momentum array l V _ p r_ p = V _ A r _ A V _ P V _ A = r _ A r _ P = a + ae a - ae array