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We investigate the time evolution of the redshift of the spectrum ofelectromagnetic radiation that is emitted by the star that moves in thevicinity of supermassive black hole. For the case of Schwarzschild black holewe solve this problem exactly in General Theory of Relativity. Also weformulate an approach that gives possibilities to solve the inverse problem:reconstruction of motion of a star in the vicinity of black hole using theredshift data. This approach consists of two steps. The first step givespossibilities to find unique solution for the integrals of motion of the starby solution of a system of non-linear equations, rather than the directapplication of standard statistical methods. For this purpose we considerproperties of congruences of isotropic geodesics that connect of the worldlineof the source and the worldline of the observer. The second step is theapplication of standard least squares method in order to obtain more accuratesolution. This approach is used on the numerical model of the star in thevicinity of the Center of our Galaxy.

Reconstruction of a star motion in the vicinity of a Schwarzschild black hole by redshift of the spectrum