Rotational evolution of a symmetric gyrostat with visco-elastic bars around the center of mass in a circular orbit

Details Rotational evolution of a symmetric gyrostat with visco-elastic bars around the center of mass in a circular orbit Rotational evolution of a symmetric gyrostat with visco-elastic bars around the center of mass in a circular orbit

Sep 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987cemec..40..225a&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 40, no. 3-4, 1987, p. 225-231.

Computer Science

Center Of Mass, Circular Orbits, Elastic Bars, Equations Of Motion, Gyroscopic Stability, Symmetrical Bodies, Viscoelasticity, Energy Dissipation, Newton Theory, Rigid Structures

Scientific paper

The motion of a gyrostat in a circular orbit in a Newtonian field of force is considered. The gyrostat has four homogeneous viscoelastic bars attached to it. Rotation of the symmetric rotor inside the rigid body is statically and dynamically balanced. Bending deformations of the bars, accompanied by dissipation of energy, are the cause of the evolution of the system's rotational motion. Approximate equations describing this evolution are derived, together with averaged equations in Andoyer variables.

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