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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. (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.
(a,b,) For r > R, the gravitational field is F = GM / r2 ? F1 = GM/r21 and F2 GM / r22 ? F1/F2 = r22 / r21 For r < R, the gravitational field F = GM/R3 x r ? F1 = GM/R3 x r1 and F2 = GM/R3 x r2 ? F1/F2 = r1 / r2
(a,b,) For r > R, the gravitational field is F = GM / r2
? F1 = GM/r21 and F2 GM / r22 ? F1/F2 = r22 / r21
For r < R, the gravitational field F = GM/R3 x r
? F1 = GM/R3 x r1 and F2 = GM/R3 x r2
? F1/F2 = r1 / r2
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