Modeling the system of determination of the motion of a technological platform using GLONASS positioning and newtonometry data

This article presents the models for the reconstruction of linear and angular motion parameters for on-board embedded GLONASS systems with two-position data reception and a three-component newtonometer unit as measures of specific non-gravitational forces. An essential element of the construction of a mathematical model is the developed stable procedure of multiple numerical differentiation, independent of the magnitude of the discretization step of the problem under conditions of limited accuracy of calculations and measurements. The results of a numerical experiment verifying the initial physical and mathematical representations for the case of hypersonic motion are presented.