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Very-High-Eccentricity Librations at Some Higher Order Resonances

Published online by Cambridge University Press:  07 August 2017

J.C. Klafke ,
S. Ferraz-Mello  and
T. Michtchenko
J.C. Klafke
Affiliation:
Instituto Astronômico e Geofísico, Universidade de São Paulo, Brasil
S. Ferraz-Mello
Affiliation:
Instituto Astronômico e Geofísico, Universidade de São Paulo, Brasil
T. Michtchenko
Affiliation:
Instituto Astronômico e Geofísico, Universidade de São Paulo, Brasil

Abstract

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Motions near the 3:1, 4:1 and 5:2 resonances with Jupiter are studied by means of numerical integrations of a semi-analytically averaged Sun-Jupiter-asteroid planar problem. In order to have a model including the very-high-eccentricity regions of the phase space, we adopted a set of local expansions of the disturbing potential, adequate to perform the numerical exploration of regions in the phase space with eccentricities higher than 0.9 (Ferraz-Mello and Klafke, 1991). Individual solutions and qualitative results thus obtained are completely reproduced by numerical integration of the complete equations by filtering off the short-period components of these solutions.

Type
Part III - The Asteroidal Belt
Information
Symposium - International Astronomical Union , Volume 152: Chaos, Resonance and Collective Dynamical Phenomena in the Solar System , 1992 , pp. 153 - 158
Copyright
Copyright © Kluwer 1992 

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