The sweeping nu6 secular resonance during giant planet migration: implications for models of the primordial excitation and depletion of the asteroid belt.

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Scientific paper

We calculate the eccentricity excitation of asteroids produced by the sweeping ν6 secular resonance during the epoch of planetesimal-driven giant planet migration in the early history of the solar system. We derive analytical expressions for the magnitude of the eccentricity change and its dependence on the sweep rate and on planetary parameters; the ν6 sweeping leads to either an increase or a decrease of eccentricity depending on an asteroid's initial orbit. Examination of the orbital data of main belt asteroids reveals that the distribution in proper eccentricities of the known bright (H ≤ 10.8) asteroids yields two possible solutions for the migration rate of Saturn and for the dynamical states of the pre-migration asteroid belt.

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