The figure shows a contour plot of d2M/dEdJ for the full simulation of an isolated halo (MacMillan 2006). The separate plots of dM/dE and dMdJ are also indicated. The corresponding density of states is almost independent of J and is the expected (e.g. Binney & Tremaine 1987) | E | -2.5 law. The line on the upper left is J(E) for circular orbits.
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