Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2022, Number 3, Pages 58–68 (Mi vmumm4477)  

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
Full-text PDF (398 kB) Citations (4)
References:
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.
Funding agency Grant number
Russian Foundation for Basic Research 20-01-00637
Received: 13.12.2021
English version:
Moscow University Mechanics Bulletin, 2022, Volume 77, Issue 3, Pages 75–86
DOI: https://doi.org/10.3103/S0027133022030037
Bibliographic databases:
Document Type: Article
UDC: 531.36
Language: Russian
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
Citation in format AMSBIB
\Bibitem{GadKul22}
\by M.~M.~Gadzhiev, A.~S.~Kuleshov
\paper On the motion of a rigid body with a fixed point in a flow of particles
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2022
\issue 3
\pages 58--68
\mathnet{http://mi.mathnet.ru/vmumm4477}
\zmath{https://zbmath.org/?q=an:1500.70010}
\transl
\jour Moscow University Mechanics Bulletin
\yr 2022
\vol 77
\issue 3
\pages 75--86
\crossref{https://doi.org/10.3103/S0027133022030037}
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  • https://www.mathnet.ru/eng/vmumm/y2022/i3/p58
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:99
    Full-text PDF :49
    References:18
    First page:4
     
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