Modeling the System of Determination of the Motion of a Technological Platform Using GLONASS Positioning and Newtonometry Data

Abstract

Theoretical models of reconstruction of the linear and angular parameters of motion using onboard integrated GLONASS systems with a two-position data receiver and three-component newtonometric unit for determining specific forces of nongravitational nature for a technological platform are described. An important element of the mathematical model design is represented by a specially developed stable procedure of multiply repeated numerical differentiation, which is independent of the discretization step under conditions of limited accuracy of computations and measurements. Results of a numerical experiment used to confirm the validity of the initial physical and mathematical notions underlying the proposed approach are presented.