Study of Resonant Modes of Motion of a Cubesat Nanosatellite with Small Inertia-Mass Asymmetry under the Aerodynamic Moment

Abstract

This paper considers the motion of an aerodynamically stabilized CubeSat nanosatellite relative to the center of mass. We analyzed the possibility of resonant modes of motion due to their inherent form factor of a rectangular parallelepiped and the presence of a small inertia-mass asymmetry - displacement of the center of mass from the longitudinal axis, small dynamic asymmetry and products of inertia. The relationship between the components of the asymmetry and the resonant frequency ratios is considered. We obtained the expressions for determining the critical value of the longitudinal angular velocity of a nanosatellite, at which the conditions for the appearance of resonances are satisfied. Recommendations to prevent the possibility of resonant modes of motion are given.