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Matematicheskie Zametki, 1997, Volume 61, Issue 2, Pages 252–258
DOI: https://doi.org/10.4213/mzm1498 (Mi mzm1498) 		 
This article is cited in 3 scientific papers (total in 3 papers)

The Euler problem in solid body dynamics and the Jacobi problem about geodesics on an ellipsoid are not topologically conjugate

O. E. Orel

M. V. Lomonosov Moscow State University
Full-text PDF (159 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm1498
Abstract: Two integrable problems are considered: the geodesic flow of an ellipsoid (the Jacobi problem) and the rotation of a solid about its center of mass (the Euler problem). It is proved that transforming the dynamical system of the Euler problem into the dynamical system of the Jacobi problem by a continuous change of coordinates is impossible.
Received: 10.05.1995
English version:
Mathematical Notes, 1997, Volume 61, Issue 2, Pages 206–211
DOI: https://doi.org/10.1007/BF02355730
Bibliographic databases:
UDC: 514.7
Language: Russian
Citation: O. E. Orel, “The Euler problem in solid body dynamics and the Jacobi problem about geodesics on an ellipsoid are not topologically conjugate”, Mat. Zametki, 61:2 (1997), 252–258; Math. Notes, 61:2 (1997), 206–211
Citation in format AMSBIB
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\paper The Euler problem in solid body dynamics and the Jacobi problem about geodesics on an ellipsoid are not topologically conjugate
\jour Mat. Zametki
\yr 1997
\vol 61
\issue 2
\pages 252--258
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\transl
\jour Math. Notes
\yr 1997
\vol 61
\issue 2
\pages 206--211
\crossref{https://doi.org/10.1007/BF02355730}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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