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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 alwas 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 remain constant

C

The total mechanical energy of S varies perodically with time

D

The linear momentum of S remains constant in magnitude

Text Solution

Verified by Experts

The correct Answer is:
A
Force on satellite is always towards earth, therefore, acceleration 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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