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Sbornik: Mathematics, 2015, Volume 206, Issue 5, Pages 621–649
DOI: https://doi.org/10.1070/SM2015v206n05ABEH004473 (Mi sm8335) 		 
This article is cited in 9 scientific papers (total in 9 papers)

On the general solution of the problem of the motion of a heavy rigid body in the Hess case

A. V. Belyaev

Donetsk State University of Management
English version PDF (596 kB) Citations (9)
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DOI: https://doi.org/10.1070/SM2015v206n05ABEH004473
Abstract: A solution of the Euler-Poisson equations in the Hess case is represented in the form of the family of its singular points together with the asymptotic behaviour of the solution at these points. A complete list of single-valued and finite-valued solutions in the Hess case is given. A representation for limiting periodic solutions is obtained and a precise condition for the existence of these solutions is found.
Bibliography: 25 titles.
Keywords: first integral, Hess case of the Euler-Poisson equations, asymptotic behaviour of solutions, singular points of solutions, analytic functions.
Received: 03.02.2014 and 12.07.2014
Russian version:
Matematicheskii Sbornik, 2015, Volume 206, Number 5, Pages 5–34
DOI: https://doi.org/10.4213/sm8335
Bibliographic databases:
Document Type: Article
UDC: 517.927.75
MSC: Primary 70E15; Secondary 70E20, 70E40, 70E50
Language: English
Original paper language: Russian
Citation: A. V. Belyaev, “On the general solution of the problem of the motion of a heavy rigid body in the Hess case”, Mat. Sb., 206:5 (2015), 5–34; Sb. Math., 206:5 (2015), 621–649
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:711
    Russian version PDF:247
    English version PDF:16
    References:58
    First page:48
     
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