The article is devoted to the matter of on-board integrating positional information delivered by the navigation satellite system (NSS) at a two-position reception and inertial information on the vector of apparent acceleration, measured by a three-component unit of newtonometers. The problem of determining the angular parameters (spatial orientation) of the geodesic platform (GP) movement, which is solved against the background of the trajectory linear kinematic parameters e stimation and the specific force vector causing the trajectory causality. The task of determining the spatial orientation of the SE is formulated; it is shown that to specify two vectors known in different coordinate trihedrons is enough for its solution, and considering the force vector and the relative position vector of two NSS receivers as such is proposed. A numerical study was performed and some of its results including elements of the trajectory of motion, forces and Euler – Krylov angles with derivatives estimates were presented verifying the initial model representations.