One can solve the Jeans equation analytically for equilibrated dark matter structures , once given two pieces of input from numerical simulations . These inputs are 1 ) a connection between phase-space density and radius , and 2 ) a connection between velocity anisotropy and density slope , the \alpha - \beta relation . The first ( phase-space density v.s . radius ) has been analysed through several different simulations , however the second ( \alpha - \beta relation ) has not been quantified yet . We perform a large set of numerical experiments in order to quantify the slope and zero-point of the \alpha - \beta relation . When combined with the assumption of phase-space being a power-law in radius this allows us to conclude that equilibrated dark matter structures indeed have zero central velocity anisotropy , central density slope of \alpha _ { 0 } \approx - 0.8 , and outer anisotropy of approximately \beta _ { \infty } \approx 0.5 .