Symbolic dynamics in the planar three-body problem

DOI10.1134/S1560354707050012zbMath1229.70033MaRDI QIDQ655276

Richard Moeckel

Publication date: 3 January 2012

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

zbMATH Keywords

three-body problemcelestial mechanicschaotic invariant set

Mathematics Subject Classification ID

Three-body problems (70F07) Dynamical systems in classical and celestial mechanics (37N05)

Related Items (11)

Asymptotic density of collision orbits in the restricted circular planar 3 body problem ⋮ Breakdown of homoclinic orbits to \(L_3\) in the RPC3BP. II: An asymptotic formula ⋮ Moving energies as first integrals of nonholonomic systems with affine constraints ⋮ Global instability in the restricted planar elliptic three body problem ⋮ Oscillatory orbits in the restricted elliptic planar three body problem ⋮ Ejection-collision orbits in two degrees of freedom problems in celestial mechanics ⋮ Investigating total collisions of the Newtonian N-body problem on shape space ⋮ Exponential stability of fast driven systems, with an application to celestial mechanics ⋮ Symbolic dynamics in the restricted elliptic isosceles three body problem ⋮ Whiskered parabolic tori in the planar \((n+1)\)-body problem ⋮ Oscillatory motions and parabolic manifolds at infinity in the planar circular restricted three body problem

Cites Work

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• Chaotic dynamics near triple collision
• Spiralling invariant manifolds
• Triple collision in the planar isosceles three body problem
• Some homoclinic phenomena in the three-body problem
• Parabolic orbits in the planar three body problem
• \(N\)-body spatial parabolic orbits asymptotic to collinear central configurations
• Homoclinic orbits and oscillation for the planar three-body problem
• Melnikov method and transversal homoclinic points in the restricted three-body problem
• Triple collision in the collinear three-body problem
• Arnold diffusion and oscillatory solutions in the planar three-body problem
• A stable manifold theorem for degenerate fixed points with applications to celestial mechanics
• Der Dreierstoss
• Heteroclinic Phenomena in the Isosceles Three-Body Problem
• Triple collisions in the isosceles 3-body problem
• Orbits of the Three-Body Problem Which Pass Infinitely Close to Triple Collision
• Structural stability of homothetic solutions of the collinearn-body problem
• Regularization of kepler's problem and the averaging method on a manifold
• QUASIRANDOM DYNAMICAL SYSTEMS. I. QUASIRANDOM DIFFEOMORPHISMS
• QUASIRANDOM DYNAMICAL SYSTEMS. II. ONE-DIMENSIONAL NONLINEAR OSCILLATIONS IN A FIELD WITH PERIODIC PERTURBATION
• QUASIRANDOM DYNAMICAL SYSTEMS. III QUASIRANDOM OSCILLATIONS OF ONE-DIMENSIONAL OSCILLATORS

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