Scale-free density-potential component (source code)

= Scale-free density-potential component

For $f=f_0L^{-2\beta}\mathcal E^n$, velocity integration gives
$$
\rho=A r^{-2\beta}\Psi^{n+3/2-\beta}.
$$
Thus a scale-free monomial in radius and relative potential corresponds directly to a power-law constant-anisotropy distribution function.