Non-Integrability and Structure of the Resonance Zones in a Class of Galactic Potentials

Details Non-Integrability and Structure of the Resonance Zones in a Class of Galactic Potentials Non-Integrability and Structure of the Resonance Zones in a Class of Galactic Potentials

Mar 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005cemda..91..323m&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 91, Issue 3-4, pp. 323-335

Astronomy and Astrophysics

Astronomy

2

Average System, Galactic Potentials, Non-Integrability, Resonance

Scientific paper

The structure of the resonance zone in nearly integrable Hamiltonian systems is studied by a more general method than the pendulum approximation. This method applies to the case of a non-degenerate integrable part in the Hamiltonian. This problem may be overcome in a class of galactic-type polynomial potentials, in the case where the higher-order term is by itself integrable. An illustrative example is worked out.

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