Geodesic
The parametrical analysis of conditions of gyroscopic stabilization of the relative equilibriums of oblate axisymmetric gyrostat
Matematičeskoe modelirovanie, Tome 28 (2016) no. 4, pp. 33-42

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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. 
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     author = {A. V. Banshchikov},
     title = {The parametrical analysis of conditions of gyroscopic stabilization of the relative equilibriums of oblate axisymmetric gyrostat},
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A. V. Banshchikov. The parametrical analysis of conditions of gyroscopic stabilization of the relative equilibriums of oblate axisymmetric gyrostat. Matematičeskoe modelirovanie, Tome 28 (2016) no. 4, pp. 33-42. http://geodesic.mathdoc.fr/item/MM_2016_28_4_a2/