Distribution function as a function of j for different values of energy. Top, halo c; middle, halo d; bottom, distribution function recovered from an N‐body realization of an analytic model with ﹩f=f\left(E\right)﹩; that is, with no j dependence. Solid, dashed, dotted, and long‐dashed line types correspond to different energies, in order of increasing binding energy.