This article is cited in 2 papers

On gyroscopic stabilization of the relative equilibriums of oblate axisymmetric gyrostat

S. V. Chaikin, A. V. Banshchikov

Institute for System Dynamics and Control Theory of Siberian Branch of RAS, Irkutsk

Abstract: The conditions for the stability or instability of relative equilibriums of an axially symmetric gyrostat with a constant inner moment vector on a circular orbit are obtained. Parametric analysis was carried out for the determining conditions of gyroscopic stabilizations of the unstable equilibriums of gyrostat. Investigations were fulfilled by Mathematica LinModel package and Mathematica built-in tools for symbolic-numerical modelling.

Keywords: tationary gyrostat, central newtonean field of forces, stability of positions of equilibrium, degree of instability, gyroscopic stabilization, system of inequalities, computer algebra.

UDC: 519.688+531.36

Received: 19.03.2012

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