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Regular and Chaotic Dynamics, 2000, Volume 5, Issue 1, Pages 89–94
DOI: https://doi.org/10.1070/RD2000v005n01ABEH000125 (Mi rcd863) 		 
This article is cited in 5 scientific papers (total in 5 papers)

150th anniversary of S.V. Kovalevskaya

A Note on Geodesics on Ellipsoid

A. M. Perelomov

Institute for Theoretical and Experimental Physics, 117259 Moscow, Russia
Citations (5)
DOI: https://doi.org/10.1070/RD2000v005n01ABEH000125
Abstract: The purpose of this note is to show that the Jacobi problem of geodesics on ellipsoid [1], [2], [3] may be reduced to a more simple case, namely, to the Clebsch problem [4]. The last one is the problem with quadratic nonlinearity and may be solved directly by using of Weber's approach [5] in terms of multi-dimensional theta functions.
Received: 03.11.1999
Bibliographic databases:
Document Type: Personalia
MSC: 22D20, 70E15, 70F15
Language: English
Citation: A. M. Perelomov, “A Note on Geodesics on Ellipsoid”, Regul. Chaotic Dyn., 5:1 (2000), 89–94
Citation in format AMSBIB
\Bibitem{Per00}
\by A. M. Perelomov
\paper A Note on Geodesics on Ellipsoid
\jour Regul. Chaotic Dyn.
\yr 2000
\vol 5
\issue 1
\pages 89--94
\mathnet{http://mi.mathnet.ru/rcd863}
\crossref{https://doi.org/10.1070/RD2000v005n01ABEH000125}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1784731}
\zmath{https://zbmath.org/?q=an:0947.70011}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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