We present density profiles , that are solutions of the spherical Jeans equation , derived under the following two assumptions : ( i ) the coarse grained phase-density follows a power-law of radius , \rho / { \sigma } ^ { 3 } \propto r ^ { - \alpha } , and ( ii ) the velocity anisotropy parameter is given by the relation \beta _ { a } ( r ) = \beta _ { 1 } +2 \beta _ { 2 } \frac { r / r _ { * } } { 1 + ( r / r _ { * } ) ^ { 2 } } where \beta _ { 1 } , \beta _ { 2 } are parameters and r _ { * } equals twice the virial radius , r _ { vir } , of the system .
These assumptions are well motivated by the results of N-body simulations .
Density profiles have increasing logarithmic slopes \gamma , defined by \gamma = - \frac { \mathrm { d } \ln \rho } { \mathrm { d } \ln r } .
The values of \gamma at r = 10 ^ { -2.5 } r _ { vir } , a distance where the systems could be resolved by large N-body simulations , lie in the range 1. -1.6 .
These inner values of \gamma increase for increasing \beta _ { 1 } and for increasing concentration of the system .
On the other hand , slopes at r = r _ { vir } lie in the range 2.42 - 3.82 .
A model density profile that fits well the results at radial distances between 10 ^ { -3 } r _ { vir } and r _ { vir } and connects kinematic and structural characteristics of spherical systems is described .