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Question: A satellite is in a circular orbit of radius r. At some point it is given an impulse along its direc...

A satellite is in a circular orbit of radius r. At some point it is given an impulse along its direction of motion causing its velocity to increase n times. It now goes into an elliptical orbit with the planet at the centre of the ellipse. The maximum possible value of n could be

A

2\sqrt { 2 }

B

2

C

2\sqrt { 2 } + 1

D

1/2\sqrt { 2 }

Answer

2\sqrt { 2 }

Explanation

Solution

For satellite to revolve around the planet v0 ≤ ve

and ve = 2\sqrt { 2 }v0

⇒n ≤ 2\sqrt { 2 }