Diversity and Origin of 2 : 1 Orbital Resonances in Extrasolar Planetary Systems

• DOI: 10.1086/422166
• Publication Date: 2004-08-10T14:01:01Z
• Authors: Man Hoi Lee
• Keywords: Mean motion; Celestial mechanics

A diversity of 2 : 1 resonance configurations can be expected in extrasolar planetary systems, and their geometry provide information about the origin resonances. Assembly during planet formation by differential migration planets due to planet-disk interaction is one scenario for mean-motion resonances systems. The stable that reached with constant masses initially coplanar nearly circular orbits are (1) antisymmetric variables θ1 = λ1 - 2λ2 + ϖ1 θ2 ϖ2 (where λj ϖj mean longitudes periapse, respectively) librating 0° 180°, respectively (as Io-Europa pair), (2) symmetric both GJ 876 system), (3) asymmetric angles far from either or 180°. There are, however, (θ1 ≈ 0°), asymmetric, 180° 0°) librations cannot orbits. If real systems these ever found, would require a change mass ratio m1/m2 migration, involving inclination resonances, multiple-planet scattering crowded We find large e2 have intersecting e1 > 0.714 prograde periapse precessions.