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 as compared to the mass of the earth. Then,
(a) the angular momentum of \( S \) about the centre of the earth changes in direction, but its magnitude remains constant
(b) the total mechanical energy of \( S \) varies periodically with time
(c) the linear momentum of \( S \) remains constant in magnitude
(d) the acceleration of \( S \) is always directed towards the centre of the earth
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