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Parametric analysis of systems of algebraic inequalities

Авторы: Banshchikov A.V.

Журнал: 1st International Congress of Mathematical Software (ICMS 2002)



Год: 2002

Отчётный год: 2002


Местоположение издательства:


Аннотация: Unique software elaborated on the basis of the computer algebra software package "Mathematica" has been employed in investigations of stability of a relative equilibrium position for an uncontrolled satellite with a gravitation stabilizer on a circular orbit. Domains of various degrees of Poincare instability have been revealed in the space of introduced parameters. Under the assumption that the potential system is unstable (the degree of instability being even) the problem of possibility of its gyroscopic stabilization is considered. Parametric analysis of stability conditions has been conducted and two-parameter sections of the system's domains of gyroscopic stabilization have been constructed with the aid of a software system intended for graphic solving of systems of algebraic inequalities.

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