I was wondering if it is possible to derive Newton's law of universal gravitation, without utilizing Kepler's 3rd law. I have found many proofs that use this type of proof. I read somewhere that Kepler's laws predated Newton to discover the fundamental formula that Newton used for the law, but I was wondering what would've been the proof for this formula if Newton discovered this without Kepler's law.
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2Physical laws don’t have proofs. Physics isn’t a branch of mathematics. – G. Smith Oct 16 '20 at 21:04
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Possible duplicate of How did Newton discover the universal law of gravitation? – Qmechanic Oct 16 '20 at 21:20