scientific article

DOI10.1512/iumj.1979.28.28015zbMath0435.58010OpenAlexW4229596142MaRDI QIDQ3874981

Richard McGehee, Robert W. Easton

Publication date: 1979

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.1979.28.28015

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

periodic orbitsflowHamiltonian perturbationsstable and unstable manifoldsplanar three-body problemalpha-limit and omega-limit setsbiasymptotic points and orbitscapture and oscillatory orbitsfive dimensional manifold with invariant three-spherehomoclinic points and orbitslocal surfaces of sectionrecursive orbits

Mathematics Subject Classification ID

Three-body problems (70F07) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Celestial mechanics (70F15) Homoclinic and heteroclinic trajectories for nonlinear problems in mechanics (70K44)

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