25 citations · 47 across the 5 of their papers we have counts for
5 papers
What can the alignments of the velocity moments tell us about the nature of the potential?
J. An, N. W. Evans
We prove that, if the time-independent distribution function of a steady-state stellar system is symmetric under velocity inversion such that $F(-v_1,v_2,v_3;x)=F(v_1,v_2,…
When is an axisymmetric potential separable?
J. An
An axially symmetric potential psi(R,z)=psi(r,theta) is completely separable if the ratio s:k is constant. Here r*s=d^2(r^2*psi)/dr/d(theta) and k=d^2(psi)/dR/dz. If beta=s/k, then…
Phase-space consistency of stellar dynamical models determined by separable augmented densities
J. An, E. Van Hese, M. Baes
Assuming the separable augmented density, it is always possible to construct a distribution function of a spherical population with any given density and anisotropy. We consider un…
Fractional calculus, completely monotonic functions, a generalized Mittag-Leffler function and phase-space consistency of separable augmented densities
J. An
Under the separability assumption on the augmented density, a distribution function can be always constructed for a spherical population with the specified density and anisotropy p…
On the augmented density of a spherical anisotropic dynamic system
J. An
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 fu…