On the Integrability and Stability of Stationary Solutions of the Goryachev–Sretensky Gyrostat
The equations of motion of the Goryachev–Sretensky gyrostat are studied. All stationary solutions are found on the invariant set of the zero level of the area integral, and their stability is analyzed. For the case where the suspension point coincides with the center of mass and the action of a gyro...
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Published in | Journal of applied and industrial mathematics Vol. 17; no. 3; pp. 557 - 570 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Moscow
Pleiades Publishing
01.09.2023
Springer Nature B.V |
Subjects | |
Online Access | Get full text |
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Summary: | The equations of motion of the Goryachev–Sretensky gyrostat are studied. All stationary solutions are found on the invariant set of the zero level of the area integral, and their stability is analyzed. For the case where the suspension point coincides with the center of mass and the action of a gyroscopic moment is of a special type, integration by quadratures is performed. |
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ISSN: | 1990-4789 1990-4797 |
DOI: | 10.1134/S1990478923030092 |