Averaging the planar three-body problem in the neighborhood of double inner collisions

DOI10.1006/jdeq.2000.3972zbMath1062.70017OpenAlexW1995941491MaRDI QIDQ5947213

Jacques Féjoz

Publication date: 2001

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://basepub.dauphine.fr/handle/123456789/8130

zbMATH Keywords

averaging methodLevi-Civita's regularizationplanar three-body problem, double collisions

Mathematics Subject Classification ID

Three-body problems (70F07) Dynamical systems in classical and celestial mechanics (37N05) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12)

Related Items (8)

From the circular to the spatial elliptic restricted three-body problem ⋮ Integrability of close encounters in the spatial restricted three-body problem ⋮ Computer assisted proofs for transverse collision and near collision orbits in the restricted three body problem ⋮ The extended Lissajous-Levi-Civita transformation ⋮ Normalization through invariants in \(n\)-dimensional Kepler problems ⋮ The Lissajous-Kustaanheimo-Stiefel transformation ⋮ Kustaanheimo-Stiefel regularization and the quadrupolar conjugacy ⋮ Quasiperiodic motions in the planar three-body problem

Cites Work

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• A note on the existence of invariant punctured tori in the planar circular restricted three-body problem
• Existence of quasi-periodic solutions to the three-body problem

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