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Part of the book series: NATO ASI Series ((ASIC,volume 246))

Abstract

We review the recent progresses in the study of the resonances 2/1 and 3/1 in the planar elliptic restricted three body problem. These studies have been mainly motivated by their applications to the Kirkwood gaps in the asteroid belt but we shall rather emphasize here the theoretical point of view: how numerical experiments show the importance of a rather new concept in Celestial Mechanics, the chaotic behaviour of some motions, and how a perturbative approach can make us understand and even predict this kind of behaviour.

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© 1988 Kluwer Academic Publishers

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Henrard, J. (1988). Resonances in the Planar Elliptic Restricted Problem. In: Roy, A.E. (eds) Long-Term Dynamical Behaviour of Natural and Artificial N-Body Systems. NATO ASI Series, vol 246. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3053-7_38

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  • DOI: https://doi.org/10.1007/978-94-009-3053-7_38

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7873-3

  • Online ISBN: 978-94-009-3053-7

  • eBook Packages: Springer Book Archive

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