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On the Asymptotic Stability of a Satellite with a Gravitational Stabilizer

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Computer Algebra in Scientific Computing (CASC 2017)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10490))

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Abstract

The problem of the influence of the structure of forces on the stability of the relative equilibrium of a controlled satellite with a gravitational stabilizer on the circular orbit is studied. In the space of entered parameters, the regions with different degrees of instability by Poincaré are found. Assuming an instability of a potential system, the problem of the possibility of its stabilization up to asymptotic stability is considered. A parametric analysis of the obtained inequalities with the help of “Mathematica” built-in tools for symbolic-numerical modelling is carried out.

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References

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Author information

Authors and Affiliations

  1. Matrosov Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences, PO Box 292, 134, Lermontov Str., Irkutsk, 664033, Russia

    Andrei V. Banshchikov

Authors
  1. Andrei V. Banshchikov
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Correspondence to Andrei V. Banshchikov .

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Editors and Affiliations

  1. Joint Institute of Nuclear Research, Dubna, Russia

    Vladimir P. Gerdt

  2. Universität Kassel, Kassel, Germany

    Wolfram Koepf

  3. Universität Kassel, Kassel, Germany

    Werner M. Seiler

  4. Russian Academy of Sciences, Novosibirsk, Russia

    Evgenii V. Vorozhtsov

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Banshchikov, A.V. (2017). On the Asymptotic Stability of a Satellite with a Gravitational Stabilizer. In: Gerdt, V., Koepf, W., Seiler, W., Vorozhtsov, E. (eds) Computer Algebra in Scientific Computing. CASC 2017. Lecture Notes in Computer Science(), vol 10490. Springer, Cham. https://doi.org/10.1007/978-3-319-66320-3_2

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  • DOI: https://doi.org/10.1007/978-3-319-66320-3_2

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-66319-7

  • Online ISBN: 978-3-319-66320-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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