Poincaré and the Three-Body Problem

  • Alain ChencinerEmail author
Part of the Progress in Mathematical Physics book series (PMP, volume 67)


The Three-Body Problem has been a recurrent theme of Poincaré’s thought. Having understood very early the need for a qualitative study of “non-integrable” differential equations, he developed the necessary fundamental tools: analysis, of course, but also topology, geometry, probability. One century later, mathematicians working on the Three-Body Problem still draw inspiration from his works, in particular in the three volumes of Les méthodes nouvelles de la mécanique céleste published respectively in 1892, 1893, 1899.


Periodic Solution Periodic Orbit Celestial Mechanics Invariant Torus Kepler Problem 
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Copyright information

© Springer Basel 2015

Authors and Affiliations

  1. 1.Observatoire de Paris IMCCE (UMR 8028), ASDParisFrance
  2. 2.Département de mathématiqueUniversité Paris VIIParisFrance

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