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Scientific article
Open access
English

The meromorphic non-integrability of the three-body problem

Published inJournal für die reine und angewandte Mathematik, no. 537, p. 127-149
Collection
  • Open Access - Licence nationale de Gruyter
Publication date2001
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.

Classification
  • arxiv : math.DS
Citation (ISO format)
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. doi: 10.1515/crll.2001.061
Main files (2)
Article (Submitted version)
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Article (Published version)
Identifiers
ISSN of the journal0075-4102
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327downloads

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