Abstract
The conditions on parameters of the system ensuring stability or instability of relative equilibria of the orbital girostat mentioned in the title were found. The parametrical analysis of conditions of gyroscopic stabilization of the unstable equilibria was carried out. Propositions about the solution of corresponding system of inequalities in the form of intervals of values of the parameter defining one of two nonzero components of a constant vector of gyrostatic moment were formulated. The research was conducted with “Mathematica” built-in tools for symbolic-numerical modelling.
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Banshchikov, A.V. (2015). Research on the Stability of Relative Equilibria of Oblate Axisymmetric Gyrostat by Means of Symbolic-Numerical Modelling. In: Gerdt, V., Koepf, W., Seiler, W., Vorozhtsov, E. (eds) Computer Algebra in Scientific Computing. CASC 2015. Lecture Notes in Computer Science(), vol 9301. Springer, Cham. https://doi.org/10.1007/978-3-319-24021-3_5
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DOI: https://doi.org/10.1007/978-3-319-24021-3_5
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