Asteroid Belt Constraints on Giant Planets Evolution

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

We investigate the dynamical evolution of the asteroid belt during the planetesimal-driven migration of the giant planets. We assume that giant planet migration happened after the primordial depletion/excitation of the asteroid belt, which occurred during terrestrial planet formation. This is a requirement of models that link giant planet migration to the origin of the Late Heavy Bombardment. During the migration of Jupiter and Saturn the secular resonances nu6 and nu16 sweep through the asteroid belt. These secular resonances cause large-amplitude responses in the eccentricities and inclinations of the asteroids if the amplitude of the g6 and s6 modes in Jupiter are similar to the current ones. The final structure of the asteroid belt depends sensitively on the migration speed of Jupiter and Saturn. Our numerical simulations show the current orbital distribution of the asteroid belt can be reproduced if the e-folding time for the migration is shorter than 1 Myr. This is much shorter than traditional results on planetesimal-driven migration; even in the Nice model, which has the fastest possible migration because the entire planetesimal disc is destabilised at once, the shortest measured time is approximately 5 Myr. As a remedy to this problem we propose a 'jumping Jupiter' scenario, which is a subset of the admissible solutions of the Nice model, in which encounters between an ice giant and Jupiter, without ejection of the former, cause the latter to migrate away from Saturn much faster than caused solely by encounters with planetesimals. The jumping Jupiter scenario leads to the secular resonances quickly sweeping through most of the asteroid belt, thereby only depleting the inner belt.

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