The method of increasing the accuracy of object positioning by analytical three-dimensional projection of coordinates of its current location, determined by the measurements of the satellite navigation measurements, on the corresponding trajectory orthodromic segment of true movement is considered. This method significantly reduces the computational cost and time to determine the location of the object. The results of the numerical simulation of the procedure for determining the coordinates of the object on the orthodromic trajectory on noisy satellite navigation measurements, which indicate the possibility of effective use of the proposed approach, are given. The method described in the article with the obtained accuracy is proposed to be used in railway and road transport. For example, it will help to increase the accuracy of positioning of high-speed trains moving along fairly long orthodromic trajectories, and without large financial costs, since all the necessary devices are already included in the measuring and piloting complex of locomotives.