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Mechanics
Necessary conditions for existence of an additional integral in the problem on motion of a solid body with a fixed point in the flow of particles bounded by an ellipsoid revolution surface
M. M. Gadzhiev, A. S. Kuleshov Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
The problem of motion in a free molecular flow of particles of a rigid body with a fixed point bounded by the surface of an ellipsoid of revolution is considered. Necessary conditions for the existence of an additional analytic first integral independent of the energy integral are obtained in this problem.
Key words:
rigid body with a fixed point, free molecular flow of particles, Hamiltonian system, nonintegrability.
Received: 01.07.2022
Citation:
M. M. Gadzhiev, A. S. Kuleshov, “Necessary conditions for existence of an additional integral in the problem on motion of a solid body with a fixed point in the flow of particles bounded by an ellipsoid revolution surface”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2023, no. 2, 40–46; Moscow University Mechanics Bulletin, 78:2 (2023), 36–41
Linking options:
https://www.mathnet.ru/eng/vmumm4528 https://www.mathnet.ru/eng/vmumm/y2023/i2/p40
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Abstract page: | 98 | Full-text PDF : | 44 | References: | 25 |
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