Mathematics – Dynamical Systems
Scientific paper
Feb 1995
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995a%26a...294..693b&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 294, no. 3, p. 693-714
Mathematics
Dynamical Systems
7
Accretion Disks, Circular Orbits, Distribution Functions, Dynamic Models, Dynamical Systems, Spiral Galaxies, Stellar Orbits, Astronomical Models, Dispersions, Galactic Bulge
Scientific paper
We present global dynamical models for disk systems. The structure in phase-space is examined by means of axisymmetric two integral distribution functions where stars travel on nearly circular orbits. Those models indicate that the maximum phase-space density does not necessarily occur in the center, but can be as much as 100 times larger than the central value. This observation may be important if ellipticals are the merger remnants of such disk systems. Furthermore, the ratio of dispersions (sigmaphi)2/(sigmapi)2 is not always a good indicator for B/(B - A). The particular method of construction we used, suggests that the determination of the distribution function from the mass density is sensitive to the detailed structure of the latter, but not as unstable as methods that do not incorporate the positivity of the distribution function.
Batsleer P.
Dejonghe Herwig
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