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Russian Journal of Nonlinear Dynamics, 2019, Volume 15, Number 3, Pages 327–342
DOI: https://doi.org/10.20537/nd190310 (Mi nd663) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Mathematical problems of nonlinearity

Research on the Motion of a Body in a Potential Force Field in the Case of Three Invariant Relations

G. V. Gorra, D. N. Tkachenkoa, E. K. Shchetininab

a Institute of Applied Mathematics and Mechanics, ul. Rozy Luxemburg 74, Donetsk, 283114 Ukraine
b Kyiv National University of Trade and Economics, ul. Kioto 19, Kyiv, 02156 Ukraine
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DOI: https://doi.org/10.20537/nd190310
Abstract: The problem of the motion of a rigid body with a fixed point in a potential force field is considered. A new case of three nonlinear invariant relations of the equations of motion is presented. The properties of Euler angles, Rodrigues – Hamilton parameters, and angular velocity hodographs in the Poinsot method are investigated using an integrated approach in the interpretation of body motion.
Keywords: potential force field, Euler angles, Rodrigues – Hamilton parameters, Poinsot method.
Received: 25.04.2019
Accepted: 29.07.2019
Bibliographic databases:
Document Type: Article
MSC: 70E17, 70E40
Language: Russian
Citation: G. V. Gorr, D. N. Tkachenko, E. K. Shchetinina, “Research on the Motion of a Body in a Potential Force Field in the Case of Three Invariant Relations”, Rus. J. Nonlin. Dyn., 15:3 (2019), 327–342
Citation in format AMSBIB
\Bibitem{GorTkaShc19}
\by G. V. Gorr, D. N. Tkachenko, E. K. Shchetinina
\paper Research on the Motion of a Body in a Potential Force Field in the Case of Three Invariant Relations
\jour Rus. J. Nonlin. Dyn.
\yr 2019
\vol 15
\issue 3
\pages 327--342
\mathnet{http://mi.mathnet.ru/nd663}
\crossref{https://doi.org/10.20537/nd190310}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4021373}
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  • https://www.mathnet.ru/eng/nd/v15/i3/p327
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Russian Journal of Nonlinear Dynamics
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