Gyrostat Dynamics in the Light Field of Semi-Euclidean Space

Abstract

The motion of a gyrostat in a stationary field of light pressure forces in semi-Euclidean space is investigated. A gyrostat with kinetic axial symmetry and a constant gyrostatic moment moves so that its carrier rotates around the center of inertia. The field of light pressure forces is generated by a stationary light flux of constant intensity, formed by parallel rays of light, and is assumed to be conservative. Based on an improved thermomechanical model of the dynamic interaction of light radiation with a solid surface, a dynamic system is constructed and the limited problem of studying pendulum motion of a special type is considered. Analytical time dependences of the components of the gyrostat angular velocity vector and its orientation parameters are obtained. The parametric equations of the moving hodograph of the gyrostat angular velocity vector and the explicit equation of its bearing surface are found.