The precise astrometric observations of the S0-2 stars during more than the 20 years provides the possibility of the weighing of the dark matter inside the orbit of the S0-2 star by measuring the Newtonian precession. The possible Newtonian precession of S0 stars was investigated by the different numerical approaches [5-10], and also analytically [11-12]. In the perspective it will be possible to observe also the relativistic precession of this star, which is very important for the verification of the General Relativity