On the augmented density of a spherical anisotropic dynamic system

Understand

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).