Astronomy and Astrophysics – Astronomy
Scientific paper
Jul 1979
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979aj.....84..964b&link_type=abstract
Astronomical Journal, vol. 84, July 1979, p. 964-978.
Astronomy and Astrophysics
Astronomy
Celestial Mechanics, Orbital Mechanics, Orbital Resonances (Celestial Mechanics), Resonance, Stellar Motions, Stellar Orbits, Epicycloids, Equations Of Motion, Numerical Integration, Spiral Galaxies, Systems Stability
Scientific paper
Results of a detailed numerical investigation of stellar orbits in a spiral galactic potential with an extensive inner Lindblad resonance region are presented. They show four subfamilies of stable, resonant orbits associated with the resonance. The complexity seen in this model supports the conclusion that resonances of large radial extent have larger and more complicated phase space structure than do narrow resonances. This finding accords with the finding of Berry and De Smet (1978). Comparison of the results with predictions of the epicyclic theory of Vandervoort (1975) shows mixed agreement. The nature of the disagreement suggests that a second order epicyclic theory may show improved agreement.
Berry Charles L.
de Smet D. J.
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