Astronomy and Astrophysics – Astronomy
Scientific paper
Mar 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989cemda..46...35s&link_type=abstract
Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 46, no. 1, 1989, p. 35-48.
Astronomy and Astrophysics
Astronomy
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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