On the co-orbital motion in the three-body problem: existence of quasi-periodic horseshoe-shaped orbits

DOI10.1007/s00220-020-03690-8zbMath1439.70018arXiv1806.07262OpenAlexW3100298013MaRDI QIDQ2186084

Philippe Robutel, Laurent Niederman, Alexandre Pousse

Publication date: 9 June 2020

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.07262

Mathematics Subject Classification ID

Three-body problems (70F07) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Nearly integrable Hamiltonian systems, KAM theory (70H08) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)

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