Simulations corresponding to an initially isotropic stellar distribution being hosted in a DM halo set by Henon’s isochrone potential. Each figure is split into two panels with the anisotropy parameter on top and the density profiles and core radii at the bottom. The color and line-type code for the densities (bottom panels) is the same as that used in Fig. 1 and 6. The inset in the top panel includes the actual value of β at the core radius r_c of the final stellar distribution, as well as r_c/2, 2 r_c, and 3 r_c. (a) The DM expands by a factor of 20. The polytropic index m is set to 5, and the cutoff radius of the initial stellar distribution to 1. The cutoff of the final stellar distribution is marked with a vertical dashed green line. (b) Same as (a) except for the initial cutoff, set to 1000. (c) Same as (a) except for the initial cutoff, set to 100, and the polytropic index, set to 2. (d) Same as (a) except for the DM expansion factor, which this time is about 350 (r_iso goes from 0.03 to 10). For reference, the four panels include an Osipkov-Merrit (OM) anisotropy distribution (the solid green lines), where β(r) = r²/(r² + r_OM²). In general, OM does a fair job when the characteristic radius, r_OM, is tuned to a value much larger than the DM core radius. For further details on the types of line in the density sub-panels, see the caption of Fig. 1.