Non-integrability of the three-body problem

DOI10.1007/s10569-010-9333-zzbMath1270.70031OpenAlexW1987212897WikidataQ104404786 ScholiaQ104404786MaRDI QIDQ362654

Andrzej J. Maciejewski, Maria Przybylska

Publication date: 30 August 2013

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10569-010-9333-z

zbMATH Keywords

three-body problemintegrabilitymonodromy groupHamiltonian equationsdifferential Galois grouphypergeometric equationnon-integrability criteria

Mathematics Subject Classification ID

Three-body problems (70F07) Nonintegrable systems for problems in Hamiltonian and Lagrangian mechanics (70H07)

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Cites Work

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• Meromorphic parametric non-integrability; the inverse square potential
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• The meromorphic non-integrability of the three-body problem
• La non-intégrabilité méromorphe du problème plan des trois corps
• Integrals in involution for groups of linear symplectic transformations and natural mechanical systems