Astronomy and Astrophysics – Astrophysics
Scientific paper
Jan 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994a%26a...281..314u&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 281, no. 2, p. 314-326
Astronomy and Astrophysics
Astrophysics
11
Astronomical Models, Elliptical Galaxies, Gravitation Theory, Gravitational Collapse, Many Body Problem, Orbital Mechanics, Orbital Resonances (Celestial Mechanics), Spiral Galaxies, Anisotropy, Equilibrium, Mathematical Models
Scientific paper
A detailed analysis of orbital structure has been performed for triaxial equilibrium configuration (produced by N-body collisionless collapses) whose axis-ratios are in agreement with predictions inferred from observations of bulges of spirals and elliptical galaxies. We find a relationship between the various projected shapes of the systems (from purely ellipical to pronounced peanuts) and the percentages of various kinds of orbits (tube, box, peanut) permissible for equilibrium, characterized by their oscillation frequency ratios along the figure's main axes. A link between these percentages and the shape parameter a4/a introduced by Bender is established. The key role of the instability of the x-axial orbit is rediscussed and the importance for the model shape determination of vertical bananas bifurcating from it is emphasized.
Martinet Louis
Udry Stephane
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