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We test the consistency of dark matter velocity distributions obtained fromdark matter-only numerical simulations with analytic predictions, using thepublicly available Via Lactea 2 dataset as an example. We find that, wellinside the scale radius, the velocity distribution obtained from numericalsimulation is consistent with a function of a single integral of motion -- theenergy -- and moreover is consistent with the result obtained from Eddingtoninversion. This indicates that the assumptions underlying the analytic result,namely, spherical symmetry, isotropy, and a static potential, are sufficientlyaccurate to govern the coarse properties of the velocity distribution in theinner regions of the halo. We discuss implications for the behavior of thehigh-velocity tail of the distribution, which can dominate dark matterannihilation from a $p$- or $d$-wave state.

Dark Matter Velocity Distributions: Comparing Numerical Simulations to Analytic Results