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Application of Wisdom's Perturbative Method to the 5:2 and 7:3 Resonances

Published online by Cambridge University Press:  07 August 2017

Tadashi Yokoyama  and
José M. Balthazar
Tadashi Yokoyama
Affiliation:
Universidade Estadual Paulista IGCE DEMAC, Caixa Postal 178, 13500 Rio Claro, S.P., Brasil
José M. Balthazar
Affiliation:
Universidade Estadual Paulista IGCE DEMAC, Caixa Postal 178, 13500 Rio Claro, S.P., Brasil

Abstract

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Wisdom's perturbative method is applied to the 5:2 and 7:3 resonances. Some comparisons with Yoshikawa's model are performed: for values of eccentricity up to about 0.3-0.4, agreement exists and it is better for 5:2 resonance. A clear difference between the cases 5:2 and 7:3 is observed: the former one, like in the case 3:1, can show significant variations of eccentricity, even starting from very small values, close to zero, while the latter seems to undergo such variations, but with initial eccentricity not less than a value near 0.1.

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. 159 - 166
Copyright
Copyright © Kluwer 1992 

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