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The steady motions of a gyrostat suspended on a rod in a central gravitational field
Affiliation:1. State Research Institute of Command Devices, 16, Tramvayniy pr., Saint-Petersburg 198216, Russia;2. State University of Aerospace Instrumentation, 67, Bolshaya Morskaya st., Saint-Petersburg 190000, Russia;1. Department of Mechanical Engineering, Faculty of Engineering, Chamran University, Ahvaz, Iran;2. Department of Mechanical Engineering, Amirkabir University of Technology, Tehran, Iran
Abstract:The problem of the existence, stability and bifurcation of the steady motions of two bodies in an orbital tethered system, when one of the bodies is a symmetrical satellite with a rotor on the axis of symmetry, is considered. One-parameter families of steady motions are indicated, and their stability and bifurcations are investigated. The conditions which relate the parameters of the system for which stabilization of the families obtained is possible using a rotating rotor are obtained.
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