Hostname: page-component-788cddb947-tr9hg Total loading time: 0 Render date: 2024-10-14T05:09:18.681Z Has data issue: false hasContentIssue false
  • English
  • Français

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

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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 

References

Ferraz-Mello, S. and Sato, M.: 1989, Astron. Astrophys. , 225, 541–547.Google Scholar
Ferraz-Mello, S. and Klafke, J.C.: 1991, in Predictability, Stability and Chaos in N boby Dynamical Systems (Roy, A.E., ed.), Plenum Press, New York, 177–184.CrossRefGoogle Scholar
Ferraz-Mello, S., Tsuchida, M. and Klafke, J.C.: 1992, (in these proceedings).Google Scholar
Hagihara, Y.: 1971, Celestial Mechanics , vol. II, part I, M.I.T. Press, Cambridge.Google Scholar
Lemaître, A. and Henrard, J.: 1988, Celest. Mech. , 43, 91–98.Google Scholar
Henrard, J. and Caranicolas, N.: 1990, Celest. Mech. Dynam, Astron. , 47, 99–121.CrossRefGoogle Scholar
Sundman, K.F.: 1916, “Sur les conditions nécessaires et suffisantes pour la convergence du développement de la fonction perturbatrice dans le mouvement plan”, Öfversigt Finska Vetenskaps-Soc. Förh. 58 A(24).Google Scholar
Wisdom, J.: 1985, Icarus , 63, 272–289.Google Scholar