We consider the problem of motion of a gyrostat under the action of potential and gyroscopic forces in the case where its gyrostatic moment is variable. We analyze the conditions of existence of linear invariant relations for equations of the Kirchhoff–Poisson class. A new solution of these equations is obtained in terms of the elementary functions of time.
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Translated from Neliniini Kolyvannya, Vol. 25, No. 2-3, pp. 264–276, April–September, 2022.
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Shchetinina, O.K., Denysenko, V.I., Didenko, Y.F. et al. Linear Invariant Relations for the Equations of Motion of a Gyrostat with a Variable Gyrostatic Moment. J Math Sci 274, 923–936 (2023). https://doi.org/10.1007/s10958-023-06653-1
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DOI: https://doi.org/10.1007/s10958-023-06653-1