The paper presents the possibilities of symbolic computation in the study of the dynamics of rotational motion along a circular orbit of a gyrostat in a Newtonian central field of forces. In accord with the problem of Lyapunov’s stability from the equations of perturbed motion in the first approximation, in the space of the introduced parameters, the regions are found in which there is gyroscopic stabilization of unstable equilibria. The results were obtained with the help of applied software and functions of symbolic-numerical modeling of the computer algebra system Mathematica.
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A. V. Banshchikov (2024) studied this question.
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