Linked twist maps in Hamiltonian systems

Astronomy and Astrophysics – Astronomy

Scientific paper

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Chaos, Ergodic Process, Hamiltonian Functions, Lagrangian Equilibrium Points, Orbital Mechanics, Three Body Problem, Gravitational Fields, Trajectory Analysis

Scientific paper

Linked twist maps of ergodic theory are modified to provide a model for
chaotic orbits in 'double bowl' potentials in conservative systems,
e.g., direct 'exchange' orbits in the planar restricted problem of three
bodies. The maps are typically ergodic (and mixing), and provide a clue
to the nature of relaxation or diffusion in chaotic Hamiltonian systems.

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