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Stability in Celestial Mechanics

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Book cover Stability of the Solar System and Its Minor Natural and Artificial Bodies

Part of the book series: NATO ASI Series ((ASIC,volume 154))

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Abstract

Fundamental ideas of stability, emphasizing applications to celestial mechanics and to dynamics are reviewed. The over-all applicability of stability unifies several fields of sciences, nevertheless, the selection of the appropriate definitions, conditions and disturbances to a variety of problems requires careful evaluation. In this paper several general ideas of stability research are discussed after establishing a few basic concepts. The lectures concentrate on the future stability research along the lines of qualitative and quantitative concepts and measures, emphasizing non-integrable dynamical systems which are intimately connected with celestial mechanics.

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References

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Author information

Authors and Affiliations

  1. The University of Texas, Austin, Texas, USA

    Szebehely Victor

Authors
  1. Szebehely Victor
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Editor information

Editors and Affiliations

  1. University of Texas, Austin, Texas, USA

    Victor G. Szebehely (Richard B. Curran Chair of Engineering) (Richard B. Curran Chair of Engineering)

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© 1985 D. Reidel Publishing Company

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Victor, S. (1985). Stability in Celestial Mechanics. In: Szebehely, V.G. (eds) Stability of the Solar System and Its Minor Natural and Artificial Bodies. NATO ASI Series, vol 154. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5398-7_12

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  • DOI: https://doi.org/10.1007/978-94-009-5398-7_12

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8883-1

  • Online ISBN: 978-94-009-5398-7

  • eBook Packages: Springer Book Archive

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