On the augmented density of a spherical anisotropic dynamic system

Details On the augmented density of a spherical anisotropic dynamic system On the augmented density of a spherical anisotropic dynamic system

2010-12-29

arxiv.org/abs/1101.0006v1

Mon. Not. Roy. Astron. Soc. 413:2554-2558,2011

Physics

Mathematical Physics

submitted to MNRAS, 5 pages (including 3 numbered appendices)

Scientific paper

10.1111/j.1365-2966.2011.18324.x

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 result of van Hese et al. (2011).

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