The Inverse Cube Force Law

Fuente: arXiv
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Autore principale: Baez, John C.
Natura: Preprint
Pubblicazione: 2026
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author Baez, John C.
author_facet Baez, John C.
contents Newton's Principia is famous for its investigations of the inverse square force law for gravity. But in this book Newton also did something that remained little-known until fairly recently. He figured out what kind of central force exerted upon a particle can rescale its angular velocity by a constant factor without affecting its radial motion. This turns out to be a force obeying an inverse cube law! Here we discuss this and some other interesting features of the inverse cube force law.
format Preprint
id arxiv_https___arxiv_org_abs_2604_24799
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle The Inverse Cube Force Law
Baez, John C.
Classical Physics
History and Overview
Newton's Principia is famous for its investigations of the inverse square force law for gravity. But in this book Newton also did something that remained little-known until fairly recently. He figured out what kind of central force exerted upon a particle can rescale its angular velocity by a constant factor without affecting its radial motion. This turns out to be a force obeying an inverse cube law! Here we discuss this and some other interesting features of the inverse cube force law.
title The Inverse Cube Force Law
topic Classical Physics
History and Overview
url https://arxiv.org/abs/2604.24799