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An Investigation into Stability of Conservative Mechanical Systems Using Analytic Calculations

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Computer Algebra in Scientific Computing CASC’99

Abstract

The report is devoted to Beletsky’s problem of obtaining slightest sufficient conditions for stability of “cylindrical” precessions of dynamically symmetrical satellite. Investigation was carried out dependending on values of motion parameter α and inertia momenta A,B,C(A = B) with respect to principal central axes of a satellite.

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References

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Author information

Authors and Affiliations

  1. Institute of System Dynamics and Control Theory SB RAS, Irkutsk, 134, Lermontov str., 664033, Russia

    M. A. Novickov

Authors
  1. M. A. Novickov
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Editor information

Editors and Affiliations

  1. Institut für Informatik, Technische Universität, D-80290, München, Germany

    Victor G. Ganzha

  2. Institut für Informatik, Technische Universität, D-80290, München, Germany

    Ernst W. Mayr

  3. Institute of Theoretical and Applied Mathematics, Russian Academy of Sciences, 630090, Novosibirsk, Russia

    Evgenii V. Vorozhtsov

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© 1999 Springer-Verlag Berlin Heidelberg

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Novickov, M.A. (1999). An Investigation into Stability of Conservative Mechanical Systems Using Analytic Calculations. In: Ganzha, V.G., Mayr, E.W., Vorozhtsov, E.V. (eds) Computer Algebra in Scientific Computing CASC’99. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60218-4_25

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  • DOI: https://doi.org/10.1007/978-3-642-60218-4_25

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66047-7

  • Online ISBN: 978-3-642-60218-4

  • eBook Packages: Springer Book Archive

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