A satellite \( S \) is moving in an elliptical orbit around the earth. The mass of the satellite...

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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. Then \( \quad \) [IIT 1998; AIPMT 2015]
(a) The total mechanical energy of \( S \) varies periodically with time
(b) The linear momentum of \( S \) remains constant in magnitude
(c) The acceleration of \( S \) is always directed towards the centre of the earth
(d) The angular momentum of \( S \) about the centre of the earth changes in direction, but its magnitude remains constant
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