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Althea Moorhead: Reproducing a vs. e

2005: Giant planet migration through the action of disk torques and planet-planet scattering
Type II migration damps the semi-major axes a, while planet scattering increases the orbital eccentricities ε. Our experiments (red squares) fill the a - ε plane (shown), in rough agreement with observations (black stars).

ScienceDirect

astro-ph  
Giant planet migration through the action of disk torques and planet-planet scattering, (A. V. Moorhead and F. C. Adams), Icarus 178, 517-539 (2005).