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Albouy, There is a projective dynamics , Eur

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Does Newtonian dynamics need Euclidean space?

physics.class-ph · 2025-05-30 · unverdicted · novelty 5.0

An elementary derivation of Newtonian gravity from Kepler's laws is presented together with a homogeneous-function generalization of Keplerian orbits that preserves convexity and yields generalized hodographs.

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  • Does Newtonian dynamics need Euclidean space? physics.class-ph · 2025-05-30 · unverdicted · none · ref 1

    An elementary derivation of Newtonian gravity from Kepler's laws is presented together with a homogeneous-function generalization of Keplerian orbits that preserves convexity and yields generalized hodographs.