Dynamical convexity of the Euler problem of two fixed centers

DOI10.1017/S0305004117000548zbMath1435.70029arXiv1601.02045OpenAlexW2963692586MaRDI QIDQ4582999

Seongchan Kim

Publication date: 27 August 2018

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.02045

zbMATH Keywords

bifurcationshypersurfacesEuler problemelliptic orbithyperbolic orbitinterior orbitrotation functionsdouble-collision orbitexterior orbitJacobi energy

Mathematics Subject Classification ID

Three-body problems (70F07) Celestial mechanics (70F15) Galactic and stellar dynamics (85A05)

Related Items (2)

On families of periodic orbits in the restricted three-body problem ⋮ Correction to: ``On families of periodic orbits in the restricted three-body problem

Cites Work

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• Systems of global surfaces of section for dynamically convex Reeb flows on the 3-sphere
• Applications of symplectic homology. II: Stability of the action spectrum
• Syzygies in the two center problem
• Contact geometry of the restricted three-body problem
• Periodic orbits and chaos around two black holes
• The Conley–Zehnder indices of the rotating Kepler problem
• Regularization of kepler's problem and the averaging method on a manifold

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