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.
(1) The acceleration of \( S \) is always directed towards the centre of the earth
(2) The angular momentum of \( S \) about the centre of the earth changes in direction, but its magnitude remains constant
(3) The total mechanical energy of \( S \) varies periodically with time
(4) The linear momentum of \( S \) remains constant in magnitude.


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