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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 compared to the mass of the earth.

A

The acceleration of S 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 perodically with line

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 gravitaoinal force F about centre of earth is constant throughout. Since the force F is conservative in nature therefore mechanical energy of atellite remains constant speed of S is maximum when it is nearest to earth and minimum when it is farthest.
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Knowledge Check

  • A satellite s is moving in an elliptical orbit ,paround the earth. The mass of the satellite is very small compared to the mass of the earth, Then,

    A
    The acceleration of s is always directed  towards the centre of 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 magnitude of s remains constant

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    `(GM_Em)/(3R_E)`
    B
    `(GM_Em)/(18R_E)`
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