The reducing transformation and Apocentric Librators View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1986-04

AUTHORS

J. Henrard, A. Lemaitre, A. Milani, C. D. Murray

ABSTRACT

We propose a canonical transformation reducing the averaged planar planetary problem near resonance to a one degree of freedom problem when the perturbation is truncated at the first order in the eccentricities. This reducing transformation leads to a very simple explanation of the puzzling behaviour of the Apocentric Librators, a class of asteroids identified by Franklinet al. (1975). An exploration of the phase space of the average problem with the use of the mapping technique shows that the alternation of two libration mechanism is a common feature for initial conditions near, but not inside, the deep resonance region. More... »

PAGES

335-344

References to SciGraph publications

  • 1984-04. Motion of two planets with periods commensurable in the ratio 2∶1 solutions of the hori auxiliary system in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1984-09. Resonant structure of the outer asteroid belt in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1983-06. A second fundamental model for resonance in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf01238924

    DOI

    http://dx.doi.org/10.1007/bf01238924

    DIMENSIONS

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