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Qualitative Analysis in the Few Body Problem

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The Few Body Problem

Part of the book series: Astrophysics and Space Science Library ((ASSL,volume 140))

Abstract

After a small illustrative example, the development of qualitative methods in Celestial Mechanics is presented in an essentially chronological way, from the early researches of particular solutions and new integrals of motion to the last developments on escaping and chaotic motions.

The periodic orbits and the Kolmogorov-Arnold-Moser theorem have a major part in the latest picture of the set of solutions and the present conjectures are described in the final section.

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Author information

Authors and Affiliations

  1. Office National d’Etudes et de Recherches Aérospatiales, 29, avenue de la Division Leclerc, 92320, Châtillon-sous-Bagneux, France

    C. Marchal

Authors
  1. C. Marchal
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Editor information

Editors and Affiliations

  1. Observatory and Astrophysics Laboratory, University of Helsinki, Finland

    M. J. Valtonen

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© 1988 Kluwer Academic Publishers

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Marchal, C. (1988). Qualitative Analysis in the Few Body Problem. In: Valtonen, M.J. (eds) The Few Body Problem. Astrophysics and Space Science Library, vol 140. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2917-3_2

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  • DOI: https://doi.org/10.1007/978-94-009-2917-3_2

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7813-9

  • Online ISBN: 978-94-009-2917-3

  • eBook Packages: Springer Book Archive

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