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 $S$ is 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 periodically with time

  • D

    the linear momentum of $S$ remains constant in magnitude

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