We discuss here a solution of the problem on stabilization of the position of a laser beam axis based on real time tracking of a natural star image in the focal plane of a telescope. In particular, we calculated the cross-correlation function between the vector, characterizing random shift of the power center of gravity of an optical beam propagated through a turbulent medium, and the vector, determining the center of gravity of a star image or any reference source formed by the same optical system. The cases with monostatic and bistatic laser reference stars are considered. The causes of inadequate correction when using a "pure" signal of backscattering are explained.