Abstract We consider the stability of stationary motions of a model of a spacecraft as a system of coaxial bodies with small asymmetry caused by the shift of the axes of dynamic symmetry of bodies relative to the axis of rotation. We determine the stationary motions of the system; their stability is studied with respect to both the projections of angular velocity and the position of the axis of rotation. The sufficient conditions for the stability of these stationary motions are obtained by constructing a Lyapunov function, and the necessary conditions are obtained by analyzing the corresponding linearized equations of perturbed motion.
On the stability of stationary motions of a system of coaxial bodies
Cosmic Research ; 54 , 2 ; 164-169
2016-03-01
6 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
On the stability of stationary motions of a system of coaxial bodies
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