Syzygies in the two center problem

DOI10.1088/0951-7715/29/4/1212zbMath1358.37029arXiv1509.05220OpenAlexW2267841178MaRDI QIDQ2805233

Richard Montgomery, Holger R. Dullin

Publication date: 10 May 2016

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.05220

zbMATH Keywords

periodic orbitsintegrable systemsnon-collision orbitssymbolic dynamics: three-body problem

Mathematics Subject Classification ID

Three-body problems (70F07) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Symbolic dynamics (37B10)

Related Items (8)

Variational aspects of the two-center problem ⋮ Dynamical convexity of the Euler problem of two fixed centers ⋮ On families of periodic orbits in the restricted three-body problem ⋮ Euler integral and perihelion librations ⋮ Scattering invariants in Euler’s two-center problem ⋮ Syzygy sequences of the -center problem ⋮ Scattering parabolic solutions for the spatial \(N\)-centre problem ⋮ On action-minimizing solutions of the two-center problem

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