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Question

A satellite S is moving in an elliptical orbit around the earth. The mass of the satellite is very small compared to the mass of the earth :


A

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

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B

The angular momentum of S about the cente of the earth changes in direction,but its magnitude remain constant

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C

The total mechanical energy of S varies periodically with time

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D

The linear momentum of S remains constant in magnitude

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Solution

The correct option is A

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


Force on satellite is always towards earth, therefore, acceleratio of satellite S is always directed towards, centre of the earth. Net torque of this gravitational force F about centre of earth is zero. therefore, angular

momentum (both in magnitude and direction) of S about centre of earth is constant throughout. Since, the force F is conservative in nature, therefore mechanical energy of satellite remains constant. speed of S is

maximum when it is nearest to earth and minimum when it is farthest.


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