Global symplectic regularization for some restricted 3-body problems on \(S^1\)

DOI10.1016/J.NA.2009.03.089zbMath1396.70012OpenAlexW2087716718MaRDI QIDQ732540

Luis Franco-Pérez, Ernesto Pérez-Chavela

Publication date: 9 October 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.03.089

zbMATH Keywords

restricted problemsglobal regularizationsymplectic regularization

Mathematics Subject Classification ID

Three-body problems (70F07) Collision of rigid or pseudo-rigid bodies (70F35)

Related Items (1)

The symmetric elliptic and hyperbolic restricted 3-body problem on the unit circle

Cites Work

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• Kepler's problem in constant curvature spaces
• Global regularization of the restricted problem of three bodies
• Transversal homoclinic orbits in the collinear restricted three-body problem
• Response to “Comment on ‘Central potentials on spaces of constant curvature: The Kepler problem on the two-dimensional sphere S2 and the hyperbolic plane H2’ ” [J. Math. Phys. 46, 052702 (2005)]
• A global regularisation of the gravitationalN-body problem
• Nonintegrability of the two-body problem in constant curvature spaces
• Regularizations of the plane restricted three-body problem
• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem

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