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Q.

A satellite is revolving in an elliptical orbit in free space; then which of the following statements are true :

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a

its mechanical energy is constant

b

its linear momentum is constant

c

its angular momentum is constant

d

its areal velocity constant

answer is A, C, D.

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Detailed Solution

Since no dissipative force is acting on the satellite , its total energy remains constant .

Since the line of action of the gravitational force of attraction passes through the centre of earth , its moment about the centre of earth is zero and hence the angular momentum about the centre of earth remains constant .

Areal velocity =L2m where L is the angular momentum and m is the mass of satellite .Since L remains constant , areal velocity also remains constant.

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