The mode of selection of ground moving targets is one of the main modes of operation of the radar observation of the underlying surface. The article discusses the features of processing a trajectory signal when detecting moving targets in a radar with synthesizing the antenna aperture due to the rotation of the real antenna phase center. To compensate for the distortion of the trajectory signal arising from the movement of a target, an algorithm is proposed for estimating the Doppler shift of the signal frequency reflected from a moving target, with its subsequent compensation.