An introduction to the classical three-body problem: From periodic solutions to instabilities and chaos

2019/01/22 by Govind S. Krishnaswami, Himalaya Senapati · 1 citation
Physics and Astronomy · Mathematics · #nlin.CD #math-ph #math.DS #math.HO #math.MP #physics.hist-ph

paper · pdf · doi:10.1007/s12045-019-0760-1

published as Resonance 24(1), 87-114, January (2019) · 22 pages, 21 figures

arxiv created 2019/01/22 · arxiv updated 2019/01/23

Abstract

The classical three-body problem arose in an attempt to understand the effect of the Sun on the Moon's Keplerian orbit around the Earth. It has attracted the attention of some of the best physicists and mathematicians and led to the discovery of chaos. We survey the three-body problem in its historical context and use it to introduce several ideas and techniques that have been developed to understand classical mechanical systems.

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• Instabilities and chaos in the classical three-body and three-rotor problems

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