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On the Motion of a Rigid Body with a Fixed Point in a Flow of Particles

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Moscow University Mechanics Bulletin Aims and scope

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.

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Funding

The work is supported by the Russian Foundation for Basic Research, project no. 20-01-00637.

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Correspondence to M. M. Gadzhiev or A. S. Kuleshov.

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The authors declare that they have no conflicts of interest.

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Translated by E. Oborin

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Gadzhiev, M.M., Kuleshov, A.S. On the Motion of a Rigid Body with a Fixed Point in a Flow of Particles. Moscow Univ. Mech. Bull. 77, 75–86 (2022). https://doi.org/10.3103/S0027133022030037

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  • DOI: https://doi.org/10.3103/S0027133022030037

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