Astronomy and Astrophysics – Astronomy
Scientific paper
Jul 2005
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005astl...31..494o&link_type=abstract
Astronomy Letters, vol. 31, Issue 7, p.494-499
Astronomy and Astrophysics
Astronomy
Velocity Field - Structural Evolution - Model Potential
Scientific paper
We consider the evolution of the structure of the velocity field formed by the loops of the trajectory in a generalized Hénon-Heiles model potential. Box-shaped orbits alternating with periodic trajectories are shown to dominate at low values of the energy integral. Signatures of shell-and tube-shaped structures appear as the energy increases. Tube-shaped orbits are associated with stable periodic trajectories with small resonance ratios. Zones of stochastic orbits appear at values of the energy integral close to its critical value, which corresponds to the opening of the zero-velocity contour.
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