Sur l'absence d'une intégrale première méromorphe supplémentaire dans le problème plan des trois corps

DOI10.1016/S0764-4442(01)01986-3zbMath1016.70006OpenAlexW2049869191MaRDI QIDQ2745770

Alexei Tsygvintsev

Publication date: 24 August 2003

Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0764-4442(01)01986-3

zbMATH Keywords

three-body problemnon-existencemeromorphic first integralLagrange's solution

Mathematics Subject Classification ID

Three-body problems (70F07) Dynamical systems in classical and celestial mechanics (37N05) Ordinary differential equations in the complex domain (34M99) Nonintegrable systems for problems in Hamiltonian and Lagrangian mechanics (70H07) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)

Related Items (3)

DIFFERENTIAL GALOIS THEORY AND INTEGRABILITY ⋮ Partial integrability of Hamiltonian systems with homogeneous potential ⋮ On some exceptional cases in the integrability of the three-body problem

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