Reddit reviews The KAM Story: A Friendly Introduction to the Content, History, and Significance of Classical Kolmogorov-Arnold-Moser Theory
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Supporters of K.A.M. theory hold that it is possible to have a stable, albeit quasi-periodic, three-body system. This applies if the system is not ergodic.
http://www.amazon.com/The-KAM-Story-Introduction-Kolmogorov-Arnold-Moser/dp/9814556580
https://en.wikipedia.org/wiki/Kolmogorov%E2%80%93Arnold%E2%80%93Moser_theorem