A perturbative treatment of the 2/1 Jovian resonance

Physics

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Eccentric Orbits, Elliptical Orbits, Jupiter (Planet), Perturbation Theory, Resonance, Solar Orbits, Celestial Mechanics, Chaos, Orbit Perturbation, Jupiter, Perturbations, Resonance, Celestial Mechanics, Models, Periods, Hypotheses, Theoretical Studies, Eccentricity, Motion, Calculations, Librations, Diagrams

Scientific paper

Following the ideas of J. Wisdom (1985), an analytical perturbation theory for the 2/1 Jovian resonance in the planar elliptic-restricted problem is presented. The prediction of the theory are in good agreement with the features found numerically by C. D. Murray (1986) for the problem truncated at the second order in the eccentricities. On the whole it is found that large parts of the phase space are preserved from chaotic motions or large perturbations in eccentricity. Wisdom's effect (spreading by Jupiter eccentricity of the chaotic motion generated close to the critical curve) is present but confined to a small volume of the phase space. Murray's "central region" where the eccentricity starting from e = 0.15 can reach values larger than 0.5 is due to truncation effects.

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