Evolution of the rotations of a symmetric satellite carrying a viscoelastic antenna about its center of mass in circular orbit

Computer Science

Scientific paper

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Center Of Mass, Circular Orbits, Satellite Antennas, Satellite Rotation, Approximation, Canonical Forms, Membranes, Ring Structures, Steady State, Viscoelasticity

Scientific paper

The averaging method is used to obtain approximate equations describing the evolution of the rotations of a symmetric rigid satellite with a homogeneous viscoelastic antenna. The system is represented as a ring onto which a viscoelastic film is stretched. Transverse deformations of the membrane accompanied by energy dissipation are responsible for the evolution of regular precession. Steady-state motions of the system are determined, and their stability is analyzed. The present study is of interest in connection with the design of satellite solar power stations.

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