Poincaré and the Three-Body Problem
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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.
KeywordsPeriodic Solution Periodic Orbit Celestial Mechanics Invariant Torus Kepler Problem
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