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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2023, Number 2, Pages 40–46
DOI: https://doi.org/10.55959/MSU0579-9368-1-64-2-5 (Mi vmumm4528) 		 
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
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DOI: https://doi.org/10.55959/MSU0579-9368-1-64-2-5
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
English version:
Moscow University Mechanics Bulletin, 2023, Volume 78, Issue 2, Pages 36–41
DOI: https://doi.org/10.3103/S0027133023020048
Bibliographic databases:
Document Type: Article
UDC: 531.36
Language: Russian
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
Citation in format AMSBIB
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\by M.~M.~Gadzhiev, A.~S.~Kuleshov
\paper 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
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2023
\issue 2
\pages 40--46
\mathnet{http://mi.mathnet.ru/vmumm4528}
\crossref{https://doi.org/10.55959/MSU0579-9368-1-64-2-5}
\elib{https://elibrary.ru/item.asp?id=50506486}
\transl
\jour Moscow University Mechanics Bulletin
\yr 2023
\vol 78
\issue 2
\pages 36--41
\crossref{https://doi.org/10.3103/S0027133023020048}
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