Periodic orbits in a resonant dynamical system

Details Periodic orbits in a resonant dynamical system Periodic orbits in a resonant dynamical system

Jul 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cemec..33..209c&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 33, July 1984, p. 209-215.

Computer Science

11

Celestial Mechanics, Elliptical Galaxies, Galactic Rotation, Orbit Calculation, Elliptical Orbits, Equations Of Motion, Hamiltonian Functions

Scientific paper

The periodic orbits of a two-dimensional dynamical system which is symmetric with respect to both axes and is comprised of two equal or nearly equal frequencies are considered. These periodic orbits are noted to be directly derivable from the equations of motions, and to exhibit forms which depend on the value of the coupling parameter, alpha. The theoretical results obtained are verified by numerical calculations.

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