Нові двочастотні еталонні моделі обертання твердого тіла для точносного аналізу алгоритмів орієнтації БІНС

Abstract

New analytical representations of solutions of the equations of rigid body rotation and continuous two-frequency reference models of rotation based on them are proposed. Analytical dependences are obtained for the quasi-coordinates and the quaternion corresponding to such rotational motion. For several sets of parameters the models are implemented numerically and the behaviour of the drift errorfor the third-order orientation algorithm is numerically analyzed. It is shown that the test rotational motion based on the two-frequency reference models leads to a much larger error in determining orientation than is the case with regular precession.