vix.ing · top · new · best · stats · spec

From Kepler's laws to Newton's law: a didactical proof

2020/03/24 by Riccardo Borghi, Borghi, Riccardo
Mathematics · Physics and Astronomy · #Classical Physics (physics.class-ph) #Experimental and Theoretical Physics Studies #FOS: Physical sciences #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.2003.13405

openalex publication_date 2020/03/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

An elementary derivation of the Newton "inverse square law" from the three Kepler laws is proposed. Our proof, thought essentially for first-year undergraduates, basically rests on Euclidean geometry. It could then be offered even to high-school students possessing only the first basics of Calculus.

Related