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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2022, Number 3, Pages 58–68
(Mi vmumm4477)
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This article is cited in 4 scientific papers (total in 4 papers)
Mechanics
On the motion of a rigid body with a fixed point in a flow of particles
M. M. Gadzhiev, A. S. Kuleshov Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
The problem of motion of a rigid body with a fixed point in a free molecular flow of particles is considered. It is shown that the equations of motion of this body generalize the classical Euler–Poisson equations of motion of a heavy rigid body with a fixed point and they are represented in the form of the classical Euler–Poisson equations in the case when the surface of the body in a flow of particles is a sphere. The existence of first integrals in the considered system is discussed.
Key words:
rigid body with a fixed point, free molecular flow of particles, first integrals.
Received: 13.12.2021
Citation:
M. M. Gadzhiev, A. S. Kuleshov, “On the motion of a rigid body with a fixed point in a flow of particles”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2022, no. 3, 58–68; Moscow University Mechanics Bulletin, 77:3 (2022), 75–86
Linking options:
https://www.mathnet.ru/eng/vmumm4477 https://www.mathnet.ru/eng/vmumm/y2022/i3/p58
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Abstract page: | 99 | Full-text PDF : | 49 | References: | 18 | First page: | 4 |
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