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Journal of Automation and Information Sciences
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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v50.i7.40
pages 35-47

Investigation of the Influence of Control Forces on the Stability of a Satellite with a Gravitational Stabilizer by Means of Computer Algebra

Andrey V. Banshchikov
V.M. Matrosov Institute of Systems Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences, Irkutsk (Russia)


The problem of the influence of forces on stability with respect to equilibrium of satellite with a controlled gravitational stabilizer on the circular orbit is researched. In space of the entered parameters the domains with various degrees of instability by Poincare are found. Assuming that the potential system is unstable, the issues of the possibility of its stabilization up to asymptotic stability are considered. The parametric analysis of the obtained inequalities is carried out with the help of Mathematica built-in tools for symbolic-numerical modelling.


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