Study of the steady motions of systems having cyclic variables

Details Study of the steady motions of systems having cyclic variables Study of the steady motions of systems having cyclic variables

Nov 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975cemec..12..337p&link_type=abstract

Celestial Mechanics, vol. 12, Nov. 1975, p. 337-358. In French.

Physics

1

Motion Stability, Steady State, Systems Stability, Graphs (Charts), Gyroscopic Stability, Mechanical Devices, Partial Differential Equations

Scientific paper

A 'constrained system' is associated with a mechanical system having cyclic coordinates. We prove that the set of steady motions of this mechanical system and the set of steady motions of the constrained system are the same. Investigating the stability of these motions, we prove that if the constrained system is stable, then the mechanical system is also stable. As an example, we consider the problem of the relative equilibrium of gyrostat satellites.

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