CONSTRAINTS ON VELOCITY ANISOTROPY OF SPHERICAL SYSTEMS WITH SEPARABLE AUGMENTED DENSITIES

If the augmented density of a spherical anisotropic system is assumed to be multiplicatively separable into functions of the potential and the radius, the radial function, which can be completely specified by the behavior of the anisotropy parameter alone, also fixes the anisotropic ratios of every...

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Bibliographic Details
Published in:The Astrophysical journal 2011-08, Vol.736 (2), p.151-jQuery1323905723223='48'
Main Author: AN, Jin H
Format: Article
Language:English
Subjects:
ANISOTROPY
Astronomy
ASTROPHYSICS, COSMOLOGY AND ASTRONOMY
COSMIC RADIO SOURCES
DENSITY
DISTRIBUTION FUNCTIONS
Earth, ocean, space
Exact sciences and technology
FUNCTIONS
PHYSICAL PROPERTIES
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Summary:If the augmented density of a spherical anisotropic system is assumed to be multiplicatively separable into functions of the potential and the radius, the radial function, which can be completely specified by the behavior of the anisotropy parameter alone, also fixes the anisotropic ratios of every higher order velocity moment. It is inferred from this that the non-negativity of the distribution function necessarily limits the allowed behaviors of the radial function. This restriction is translated into the constraints on the behavior of the anisotropy parameter. We find that not all radial variations of the anisotropy parameter satisfy these constraints and thus anisotropy profiles exist that are not consistent with any separable augmented density.
ISSN:0004-637X
1538-4357
DOI:10.1088/0004-637X/736/2/151