Periodic orbits in nearly axisymmetric stellar systems

Details Periodic orbits in nearly axisymmetric stellar systems Periodic orbits in nearly axisymmetric stellar systems

Oct 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982a%26a...114..360c&link_type=abstract

Astronomy and Astrophysics, vol. 114, no. 2, Oct. 1982, p. 360-366.

Astronomy and Astrophysics

Astrophysics

24

Orbit Calculation, Orbital Elements, Stellar Motions, Stellar Systems, Celestial Mechanics, Resonance

Scientific paper

The representation of stellar motion on the plane of symmetry in the case of a nearly axisymmetric galaxy, by means of a time-independent, two-dimensional dynamical system, is investigated. Families of periodic orbits are determined numerically when frequencies in the two axes are equal or nearly equal, and it is shown that some features of periodic orbits may be explained in terms of the second integral. Comparisons are given of the present results with those of the Verhust (1979) study, which used the theory of averaging.

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