Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2005, Volume 1, Number 2, Pages 209–213 (Mi nd199)  

This article is cited in 1 scientific paper (total in 1 paper)

Numerical analysis of rotation of a rigid body subject to the sum of a constant and dissipative moment

K. G. Troninab

a Institute of Computer Science
b Udmurt State University
Full-text PDF (864 kB) Citations (1)
Abstract: The paper explores the evolution of rotation of a rigid body influenced by a constant and dissipative disturbing moments. With the assumption that the disturbing moments are small, it has been shown numerically that for almost all initial conditions the body's motion tends asymptotically to a steady rotation around a principal axis with either largest or smallest moment of inertia. On the plane of initial conditions, the points corresponding to these two types of ultimate rotation have been shown to be distributed almost randomly.
Keywords: disturbed motion, probabilistic phenomena, diagrams of asymptotic motion.
Document Type: Article
UDC: 531.352
Language: Russian
Citation: K. G. Tronin, “Numerical analysis of rotation of a rigid body subject to the sum of a constant and dissipative moment”, Nelin. Dinam., 1:2 (2005), 209–213
Citation in format AMSBIB
\Bibitem{Tro05}
\by K.~G.~Tronin
\paper Numerical analysis of rotation of a rigid body subject to the sum of a constant and dissipative moment
\jour Nelin. Dinam.
\yr 2005
\vol 1
\issue 2
\pages 209--213
\mathnet{http://mi.mathnet.ru/nd199}
Linking options:
  • https://www.mathnet.ru/eng/nd199
  • https://www.mathnet.ru/eng/nd/v1/i2/p209
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Нелинейная динамика
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    Abstract page:141
    Full-text PDF :67
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