 Osipkov-Merritt distribution function

ID: osipkov-merritt-distribution-function

An Osipkov-Merritt spherical distribution has

F = f (Q)

for

Q = E - L^{2} / (2 r_{a}^{2}) > 0

and vanishes otherwise. Rescaling transverse velocities by

1 + r^{2} / r_{a}^{2}

makes its velocity integral isotropic in the rescaled variables. Its velocity-anisotropy parameter is

β = r^{2} / (r^{2} + r_{a}^{2})

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