J+-Like invariants of periodic orbits of the second kind in the restricted three-body problem

DOI10.1142/S1793525319500614zbMath1473.70016arXiv1708.08392OpenAlexW2963283369WikidataQ129251501 ScholiaQ129251501MaRDI QIDQ5117601

Joontae Kim, Seongchan Kim

Publication date: 26 August 2020

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.08392

zbMATH Keywords

planar circular restricted three-body problemrotating Kepler problemArnold's \(J^+\)-invariantperiodic orbits of second kindStark-Zeeman homotopy

Mathematics Subject Classification ID

Three-body problems (70F07) Two-body problems (70F05)

Related Items (4)

Bifurcations of symmetric periodic orbits via Floer homology ⋮ On families of periodic orbits in the restricted three-body problem ⋮ Transverse foliations in the rotating Kepler problem ⋮ Correction to: ``On families of periodic orbits in the restricted three-body problem

Cites Work

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• The restricted three-body problem: plane periodic orbits. Transl. from the Russian by Balint Erdi. With a preface by Victor G. Szebehely
• The restricted three-body problem and holomorphic curves
• Periodic orbits in the restricted three-body problem and Arnold's \(J^+\)-invariant
• Correction to: ``On families of periodic orbits in the restricted three-body problem
• The work of Nicolaus Copernicus
• The Conley–Zehnder indices of the rotating Kepler problem
• Families of Periodic Orbits in the Restricted Problem of Three Bodies Connecting Families of Direct and Retrograde Orbits
• Periodic Solutions of the Restricted Three Body Problem Representing Analytic Continuations of Keplerian Elliptic Motions

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