Periodic orbits in the restricted three-body problem and Arnold's \(J^+\)-invariant

DOI10.1134/S1560354717040050zbMath1411.53005arXiv1704.08568OpenAlexW2608411607MaRDI QIDQ1701461

Otto van Koert, Kai Cieliebak, Urs Adrian Frauenfelder

Publication date: 23 February 2018

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.08568

zbMATH Keywords

restricted three-body problemArnold's plane curve invariantsgeneric immersions into the plane

Mathematics Subject Classification ID

Three-body problems (70F07) Planar graphs; geometric and topological aspects of graph theory (05C10) Two-body problems (70F05) Curves in Euclidean and related spaces (53A04) Immersions in differential topology (57R42)

Related Items

Existence of either a periodic collisional orbit or infinitely many consecutive collision orbits in the planar circular restricted three-body problem, -invariants for planar two-center Stark–Zeeman systems, On families of periodic orbits in the restricted three-body problem, Conformal transformations and integrable mechanical billiards, J+-Like invariants of periodic orbits of the second kind in the restricted three-body problem, Correction to: ``On families of periodic orbits in the restricted three-body problem, On a convex embedding of the Euler problem of two fixed centers, Global hypersurfaces of section in the spatial restricted three-body problem

Cites Work

• The restricted three-body problem: plane periodic orbits. Transl. from the Russian by Balint Erdi. With a preface by Victor G. Szebehely
• Regular Legendrian knots and the HOMFLY polynomial of immersed plane curves
• ON MOULTON'S ORBITS IN THE RESTRICTED PROBLEM OF THREE BODIES
• Periodic Solutions of the Restricted Three Body Problem Representing Analytic Continuations of Keplerian Elliptic Motions
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