We elaborate the model of the influence of the diffuse dark matter,
invisible stars or stellar mass black holes on the motion of the
observed fast moving S0 stars [1-4] around the supermassive black hole SgrA* in the Galactic center with a mass MBH = 4∙106
Mʘ. We will call all this invisible mass as a dark matter. The additional mass perturbs the elliptical orbits of the S0 mass resulting
in the so called Newtonian precession of the elliptical orbits