Modeling the 5 : 2 Mean-Motion Resonance in the Jupiter-Saturn Planetary System

Details Modeling the 5 : 2 Mean-Motion Resonance in the Jupiter-Saturn Planetary System Modeling the 5 : 2 Mean-Motion Resonance in the Jupiter-Saturn Planetary System

Feb 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001icar..149..357m&link_type=abstract

Icarus, Volume 149, Issue 2, pp. 357-374 (2001).

Physics

30

Scientific paper

The motion of the Jupiter-Saturn planetary system near the 5 : 2 mean-motion resonance is modeled analytically in the frame of the planar general three-body problem. The topology of the phase space in the resonance and near-resonance domains is investigated in detail by means of surfaces of section and spectral map techniques. Various regimes of motion of the Jupiter-Saturn system are observed, and their domains are represented on the parameter plane defined by the total energy of the system and the parameter of proximity to the 5 : 2 resonance. The regions of transition between domains of different regimes of motion are characterized by chaotic motion. We show that there is a significant chaotic zone associated with the 5 : 2 mean-motion resonance, but large-scale excursions of the planet eccentricities are not possible in the planar three-body model.

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