On the augmented density of a spherical anisotropic dynamic system

This paper presents a set of new conditions on the augmented density of a spherical anisotropic system that is necessary for the underlying two-integral phase-space distribution function to be non-negative. In particular, it is shown that the partial derivatives of the Abel transformations of the au...

Full description

Saved in:
Bibliographic Details
Published in:Monthly notices of the Royal Astronomical Society 2011-06, Vol.413 (4), p.2554-2558
Main Author: An, Jin H.
Format: Article
Language:English
Subjects:
Anisotropy
Astronomy
Astrophysics
dark matter
Density
Earth, ocean, space
Exact sciences and technology
galaxies: kinematics and dynamics
methods: analytical
Spheres
Citations: Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper presents a set of new conditions on the augmented density of a spherical anisotropic system that is necessary for the underlying two-integral phase-space distribution function to be non-negative. In particular, it is shown that the partial derivatives of the Abel transformations of the augmented density must be non-negative. Applied for the separable augmented densities, this recovers the earlier result of Van Hese, Baes & Dejonghe.
ISSN:0035-8711
1365-2966
DOI:10.1111/j.1365-2966.2011.18324.x