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

✍ Scribed by T.A. Michtchenko; S. Ferraz-Mello

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 497 KB
• Volume: 149
• Category: Article
• ISSN: 0019-1035
• DOI: 10.1006/icar.2000.6539

✦ Synopsis

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.