GEOMETRY OF HOMOCLINIC CONNECTIONS IN A PLANAR CIRCULAR RESTRICTED THREE-BODY PROBLEM

DOI10.1142/S0218127407017744zbMath1136.70006MaRDI QIDQ3498719

Marian Gidea, Josep J. Masdemont

Publication date: 16 May 2008

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

invariant manifoldssymbolic dynamicslibration point

Mathematics Subject Classification ID

Three-body problems (70F07) Homoclinic and heteroclinic trajectories for nonlinear problems in mechanics (70K44)

Related Items (10)

Order-chaos-order and invariant manifolds in the bounded planar Earth-Moon system ⋮ Numerical exploration of the limit ring problem ⋮ Geometry of weak stability boundaries ⋮ Quadratic volume-preserving maps: (Un)stable manifolds, hyperbolic dynamics, and vortex-bubble bifurcations ⋮ Hill's approximation in a restricted four-body problem ⋮ Escape dynamics and fractal basin boundaries in the planar Earth-Moon system. ⋮ Infinite horseshoes and complex dynamics in physical systems ⋮ CHAOTIC ORBITS IN A PLANAR THREE-CENTER PROBLEM OF SLIGHTLY NEGATIVE ENERGY ⋮ The role of the unstable equilibrium points in the transfer of matter in galactic potentials ⋮ Chebyshev–Taylor Parameterization of Stable/Unstable Manifolds for Periodic Orbits: Implementation and Applications

Cites Work

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• Heteroclinic connections between periodic orbits and resonance transitions in celestial mechanics
• High-order expansions of invariant manifolds of libration point orbits with applications to mission design
• TRANSPORT IN DYNAMICAL ASTRONOMY AND MULTIBODY PROBLEMS
• Low Energy Transit Orbits in the Restricted Three-Body Problems

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