Velocity-anisotropy parameter
= Velocity-anisotropy parameter
{title2=$\beta$}
{wiki=Velocity_dispersion#Anisotropy_parameter}
For spherical radial dispersion $\sigma_r^2$ and total two-component tangential dispersion $\sigma_t^2$, the velocity-anisotropy parameter is
$$
\beta=1-\frac{\sigma_t^2}{2\sigma_r^2}.
$$
Positive values are radially biased, zero is isotropic, and negative values are tangentially biased.