Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics]
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Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics], 2022, Issue 3, Pages 62–75
DOI: https://doi.org/10.26456/vtpmk641 (Mi vtpmk641) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematical Modelling, Numerical Methods and Software Systems

Vector integrals of the Euler, Poisson and Volterra-Zhukovsky equations

V. N. Onikiychuka, I. V. Onikiychukb

a Bauman Moscow State Technical University, Mytishchi Branch, Mytishchi
b JSC "Garuda Aero", Moscow
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DOI: https://doi.org/10.26456/vtpmk641
Abstract: The dynamic Euler equations for a rotating rigid body with a fixed point in projection on fixed (inertial) axes are derived. A complete system of analytical integrals in the form of a vector integral for the dynamic Euler equation with the zero right side, as well as for the kinematic Poisson and Volterra-Zhukovsky equations is presented. All these integrals do not contain elliptic quadratures.
Keywords: Euler equations, Poisson equations, Volterra-Zhukovsky equations, vector integrals, solid dynamics, elliptic quadrature.
Received: 10.04.2022
Revised: 22.05.2022
Bibliographic databases:
Document Type: Article
UDC: 531.31
PACS: 45.05.+x, 45.20.−d, 45.20.D−, 45.20.dc
Language: Russian
Citation: V. N. Onikiychuk, I. V. Onikiychuk, “Vector integrals of the Euler, Poisson and Volterra-Zhukovsky equations”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2022, no. 3, 62–75
Citation in format AMSBIB
\Bibitem{OniOni22}
\by V.~N.~Onikiychuk, I.~V.~Onikiychuk
\paper Vector integrals of the Euler, Poisson and Volterra-Zhukovsky equations
\jour Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.]
\yr 2022
\issue 3
\pages 62--75
\mathnet{http://mi.mathnet.ru/vtpmk641}
\crossref{https://doi.org/10.26456/vtpmk641}
\elib{https://elibrary.ru/item.asp?id=49842368}
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    		Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics]
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