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Matematicheskoe modelirovanie, 2013, Volume 25, Number 5, Pages 109–122 (Mi mm3366)  
This article is cited in 2 scientific papers (total 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
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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.
Received: 19.03.2012
Bibliographic databases:
Document Type: Article
UDC: 519.688+531.36
Language: Russian
Citation: S. V. Chaikin, A. V. Banshchikov, “On gyroscopic stabilization of the relative equilibriums of oblate axisymmetric gyrostat”, Matem. Mod., 25:5 (2013), 109–122
Citation in format AMSBIB
\Bibitem{ChaBan13}
\by S.~V.~Chaikin, A.~V.~Banshchikov
\paper On gyroscopic stabilization of the relative equilibriums of oblate axisymmetric gyrostat
\jour Matem. Mod.
\yr 2013
\vol 25
\issue 5
\pages 109--122
\mathnet{http://mi.mathnet.ru/mm3366}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3114906}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математическое моделирование
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