If gravitation force varied with $r^{-3}$ instead of $r^{-2}$ what would happen to Kepler's laws

Asked Jan 08 '19 at 08:46

Active Jan 08 '19 at 09:38

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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?

edited Jan 08 '19 at 09:38

my2cts

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asked Jan 08 '19 at 08:46

user137644

If gravitation force varied with $r^{-3}$ instead of $r^{-2}$ what would happen to Kepler's laws

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