Periodic orbits in a two-dimensional galactic potential

Details Periodic orbits in a two-dimensional galactic potential Periodic orbits in a two-dimensional galactic potential

Nov 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983cemec..31..303d&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 31, Nov. 1983, p. 303-315.

Physics

5

Celestial Mechanics, Galactic Rotation, Orbital Mechanics, Harmonic Oscillation, Orbital Resonances (Celestial Mechanics), Resonance

Scientific paper

The author uses the analytical method of Lindstedt to make an inventory of the families of periodic orbits in a two-dimensional galactic potential first introduced by Contopoulos (1960). He examines the general case of orbital resonance and its neighborhood; two special cases, the 1:1 and 2:1 resonances are dealt with separately. The present paper provides a synthesis and an extension of earlier works on this potential in the neighborhood of the integrable case (ɛ very low 1).

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