  The existence of dark matter (DM) at scales of few pc down to $\simeq
10^{-5}$ pc around the centers of galaxies and in particular in the Galactic
Center region has been considered in the literature. Under the assumption that
such a DM clump, principally constituted by non-baryonic matter (like WIMPs)
does exist at the center of our galaxy, the study of the $\gamma$-ray emission
from the Galactic Center region allows us to constrain both the mass and the
size of this DM sphere. Further constraints on the DM distribution parameters
may be derived by observations of bright infrared stars around the Galactic
Center. Hall and Gondolo \cite{hallgondolo} used estimates of the enclosed mass
obtained in various ways and tabulated by Ghez et al.
\cite{Ghez_2003,Ghez_2005}. Moreover, if a DM cusp does exist around the
Galactic Center it could modify the trajectories of stars moving around it in a
sensible way depending on the DM mass distribution. Here, we discuss the
constraints that can be obtained with the orbit analysis of stars (as S2 and
S16) moving inside the DM concentration with present and next generations of
large telescopes. In particular, consideration of the S2 star apoastron shift
may allow improving limits on the DM mass and size.
