2nd law wouldn't change as it is LCAM. 3rd Law would change. But I'm confused about first law. Does any body under influence of any central force move in an ellipse?Can anyone give a simple proof/explanation?
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The idea of an inverse-cube law for conventional spherical planets is un-physical in the first place: https://physics.stackexchange.com/q/47084 – Jan 08 '19 at 08:51
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I edited the question – user137644 Jan 08 '19 at 08:52
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(v2) I don't think the edit changes much: you've removed the direct contradiction of words, but the meaning remains: because we're considering points/spheres which don't produce inverse-square gravitational fields, we have a situation in which some more fundamental principles don't apply. – Jan 08 '19 at 08:56
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Will it move in an ellipse? – user137644 Jan 08 '19 at 08:57
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1I think this is an interesting question even though it does not apply to planetary systems. Please respect the name of the scientist and also use latex style formulas , such as $r^{-3}$. – my2cts Jan 08 '19 at 09:20