Abstract
A new algorithm for filtering distortions of the deep image of the starry sky is considered to improve the accuracy of determining the position of the star - the detection of the centroid. An increase in the accuracy of measuring the orientation parameters of the spacecraft by stellar sensors is being investigated. The method of calculations using the algorithm of exact estimation of the centroid is applied, restoring the function of the scatter of points from recorded astronomical images. Minimization of the effects of atmospheric turbulence and system noise on long-exposure images obtained by a ground-based telescope is proposed. The method was tested in the MATLAB environment for a real image of the deep sky recorded by the ground system.