Sur la non-intégrabilité du problème plan des trois corps de masses égales

DOI10.1016/S0764-4442(00)01666-9zbMath0980.70008OpenAlexW1988026247MaRDI QIDQ4512588

Delphine Boucher

Publication date: 5 March 2001

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(00)01666-9

zbMATH Keywords

parameterequal massesplanar three-body problemLagrange's solutionMorales-Ruiz/Ramis' non-integrability theoremscalar variational equation

Mathematics Subject Classification ID

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

Related Items (6)

Non-integrability of the equal mass \(n\)-body problem with non-zero angular momentum ⋮ Integrability of Hamiltonian systems and differential Galois groups of higher variational equations ⋮ A note on algebraic potentials and Morales-Ramis theory ⋮ Non-integrability of some few body problems in two degrees of freedom ⋮ Integrable planar homogeneous potentials of degree \(- 1\) with small eigenvalues ⋮ Non-existence of Liouvillian solutions for a free quantum particle on a torus surface. I: Polar states

This page was built for publication: Sur la non-intégrabilité du problème plan des trois corps de masses égales