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A satellite S is moving in an elliptical...

A satellite S is moving in an elliptical orbit around the earth. The mass of the satellite is very small as comapred to the mass of the earth. Then,

A

The acceleration of S is always directed towards the centre of the earth

B

The angular momentum of S about the centre of the earth changes in direction. But its magnitude remains constant.

C

The total mechanical energy of S varies periodically with time

D

The linear momentum of S remain constant in magnitude.

Text Solution

Verified by Experts

The correct Answer is:
A
Force on the satellite is always towards the earth, therefore, acceleration of satellite S is always directed towards the centre of the earth. Net torque of this gravitational force F about the centre of the earth is zero. Therefore, angular momentum (both in magnitude and in direction) of S about the centre of the earth is constant throughout. Since force F is conservative in nature, therefore mechanical energy of the satellite remains constant. Speed of S is maximum when it is nearest to the earth and minimum when it is farthest.
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