To overcome the limitations of the traditional approach the author developed the adaptive technique of orbital elements determination taking into account statistical characteristics of disregarded disturbances. This technique, called "Optimum Filtration of Measurements (OFM)", has some common features with the Least Square Technique and the Kalman filter. Special corrections are added to the results of integration of the equations of motion. The experience of application of this technique demonstrated the possibility of increasing the accuracy of estimation and prediction of satellite orbits. This paper presents the review of investigation results obtained recently on the basis of applying the OFM technique, namely:- Development of the algorithm and software for filtering the measurements with using the considered technique;- The technique efficiency evaluation from the results of processing the modeled and real information.