Parabolic orbits in the planar three body problem

DOI10.1016/0022-0396(84)90138-4zbMath0487.70014OpenAlexW1982380828MaRDI QIDQ1165601

Robert W. Easton

Publication date: 1984

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(84)90138-4

zbMATH Keywords

planarstable and unstable manifoldsLipschitz manifoldsHopf flow on S3three sphere invariant and weakly hyperbolic

Mathematics Subject Classification ID

Three-body problems (70F07) Dynamics induced by flows and semiflows (37C10)

Related Items

Topological decoupling near planar parabolic orbits, The existence of oscillatory and superhyperbolic motion in Newtonian systems, Stable manifolds associated to fixed points with linear part equal to identity., Homoclinic orbits and oscillation for the planar three-body problem, Symbolic dynamics in the planar three-body problem, Melnikov method and transversal homoclinic points in the restricted three-body problem, Asymptotic dynamics of a difference equation with a parabolic equilibrium, Invariant manifolds of parabolic fixed points. I: Existence and dependence on parameters, The manifold structure for collision and for hyperbolic-parabolic orbits in the n-body problem

Cites Work

• Unnamed Item
• Homoclinic orbits and oscillation for the planar three-body problem
• Topology and mechanics. II: The planar \(n\)-body problem
• Some topology of the three body problem
• A stable manifold theorem for degenerate fixed points with applications to celestial mechanics
• QUASIRANDOM DYNAMICAL SYSTEMS. I. QUASIRANDOM DIFFEOMORPHISMS