Regions without invariant tori of given class for the planar circular restricted three-body problem

DOI10.1016/j.physd.2022.133216zbMath1496.85002arXiv2202.12691OpenAlexW4220969968MaRDI QIDQ2140091

T. Syndercombe, N. Kallinikos, Robert S. MacKay

Publication date: 20 May 2022

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.12691

zbMATH Keywords

three-body problemHamiltonian systemsinvariant toriconverse KAM

Mathematics Subject Classification ID

Three-body problems (70F07) Hamilton's equations (70H05) Chemically reacting flows (80A32) Galactic and stellar structure (85A15) Electromagnetic theory (general) (78A25) Orbital mechanics (70M20)

Related Items (1)

Introduction to special issue: Chaos indicators, phase space and chemical reaction dynamics

Cites Work

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• Converse KAM: theory and practice
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• Rigorous computer-assisted application of KAM theory: a modern approach
• Finding the complement of the invariant manifolds transverse to a given foliation for a 3D flow
• Analytic estimates and topological properties of the weak stability boundary
• Converse KAM theory for symplectic twist maps
• Complete Poincare sections and tangent sets
• Nonexistence of invariant tori transverse to foliations: An application of converse KAM theory
• ON MOULTON'S ORBITS IN THE RESTRICTED PROBLEM OF THREE BODIES

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