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The meromorphic non-integrability of the three-body problem

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Published in Journal für die reine und angewandte Mathematik. 2001, no. 537, p. 127-149
Collection Licence nationale - de Gruyter
Abstract We study the planar three-body problem and prove the absence of a complete set of complex meromorphic first integrals in a neighborhood of the Lagrangian solution. We use the Ziglin's method and study the monodromy group of the corresponding normal variational equations.
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TSYGVINTSEV, Alexei. The meromorphic non-integrability of the three-body problem. In: Journal für die reine und angewandte Mathematik, 2001, n° 537, p. 127-149. https://archive-ouverte.unige.ch/unige:12393

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Deposited on : 2010-11-09

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