Using only ruler-and-compass constructions, this paper reproves that Keplerian ellipses imply an inverse-square force with mu = L^2/p, and that an inverse-square force yields conic orbits.
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Constructive Euclidean Proofs of the Equivalence Between Keplerian Orbits and Newton's Inverse-Square Law
Using only ruler-and-compass constructions, this paper reproves that Keplerian ellipses imply an inverse-square force with mu = L^2/p, and that an inverse-square force yields conic orbits.