Bifurcations of periodic orbits in a rotating galaxy

Details Bifurcations of periodic orbits in a rotating galaxy Bifurcations of periodic orbits in a rotating galaxy

Oct 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983ap%26ss..96..375c&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 96, no. 2, Oct. 1983, p. 375-380.

Astronomy and Astrophysics

Astrophysics

Galactic Rotation, Orbit Perturbation, Orbital Mechanics, Axisymmetric Bodies, Equations Of Motion, Orbital Elements, Runge-Kutta Method

Scientific paper

A numerical investigation of families of periodic orbits typical of a nearly asymmetrical rotating galaxy is presented, extending the nonrotating-galaxy analysis of Caranicolas and Barbanis (1982). Equations describing the motion on the plane of rotation are derived, and double-precision Runge-Kutta-method calculations are performed for both retrograde and direct families of orbits; the results are presented as graphs of the orbit characteristics (x versus the perturbation parameter epsilon) and discussed.

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