Resonances in the Planar Elliptic Restricted Problem View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

1988

AUTHORS

Jacques Henrard

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. More... »

PAGES

405-425

References to SciGraph publications

  • 1978. Mathematical Methods of Classical Mechanics in NONE
  • 1986-02. Canonical solution of the two critical argument problem in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1986-09. A perturbation method for problems with two critical arguments in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1983-06. A second fundamental model for resonance in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1983. Regular and Stochastic Motion in NONE
  • 1982-05. Capture into resonance: An extension of the use of adiabatic invariants in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1986-04. The reducing transformation and Apocentric Librators in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1984-02. High-order resonances in the restricted three-body problem in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1984-09. Formation of the Kirkwood gaps in the asteroid belt in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • Book

    TITLE

    Long-Term Dynamical Behaviour of Natural and Artificial N-Body Systems

    ISBN

    978-94-010-7873-3
    978-94-009-3053-7

    Author Affiliations

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/978-94-009-3053-7_38

    DOI

    http://dx.doi.org/10.1007/978-94-009-3053-7_38

    DIMENSIONS

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