An introduction to the classical three-body problem: From periodic solutions to instabilities and chaos
Chaotic Dynamics
2019-01-23 v1 Mathematical Physics
Dynamical Systems
History and Overview
math.MP
History and Philosophy of Physics
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.
Keywords
Cite
@article{arxiv.1901.07289,
title = {An introduction to the classical three-body problem: From periodic solutions to instabilities and chaos},
author = {Govind S. Krishnaswami and Himalaya Senapati},
journal= {arXiv preprint arXiv:1901.07289},
year = {2019}
}
Comments
22 pages, 21 figures