Bertrand's theorem
id:
bertrand-s-theorem-239-5256388
title:
Bertrand's theorem
text:
In classical mechanics, Bertrand's theorem states that among central-force potentials with bound orbits, there are only two types of central-force (radial) scalar potentials with the property that all bound orbits are also closed orbits. The first such potential is an inverse-square central force such as the gravitational or electrostatic potential: The second is the radial harmonic oscillator potential: The theorem is named after its discoverer, Joseph Bertrand.
brand slug:
wiki
category slug:
encyclopedia
description:
Physics theorem
original url:
https://en.wikipedia.org/wiki/Bertrand%27s_theorem
date created:
date modified:
2023-12-05T22:54:51Z
main entity:
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image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/9/9a/Bertrand.jpg","width":622,"height":742}
fields total:
13
integrity:
15