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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 2016 Volume 28, Number 4, Pages 33–42 (Mi mm3718)

This article is cited in 1 paper

The parametrical analysis of conditions of gyroscopic stabilization of the relative equilibriums of oblate axisymmetric gyrostat

A. V. Banshchikov

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

Abstract: The parametrical analysis of conditions of gyroscopic stabilization of the unstable equilibriums specified in heading orbital gyrostat has been carried out. Statements about the solution of corresponding system of inequalities in the form of intervals of values of the parameter defining one of two nonzero component of a constant inner moment vector have been formulated. Investigations were fulfilled by Mathematica LinModel package and Mathematica built-in tools for symbolic-numerical modelling.

Keywords: stationary gyrostat, stability of positions of equilibrium, degree of instability, gyroscopic stabilization, system of inequalities, computer algebra, program complex.

Received: 12.03.2015



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