The origin of long-lived asteroids in the 2:1 mean-motion resonance with Jupiter [EPA]

http://arxiv.org/abs/1505.04329


The 2:1 mean-motion resonance with Jupiter harbours two distinct groups of asteroids. The short-lived population is known to be a transient group sustained in steady state by the Yarkovsky semimajor axis drift. The long-lived asteroids, however, can exhibit dynamical lifetimes comparable to $4\,\mathrm{Gyr}$. They reside near two isolated islands of the phase space denoted $\mathrm{A}$ and $\mathrm{B}$, with an uneven population ratio $\mathrm{B}/\mathrm{A} \simeq 10$. The orbits of $\mathrm{A}$-island asteroids are predominantly highly inclined, compared to island $\mathrm{B}$. The size-frequency distribution is steep but the orbital distribution lacks any evidence of a collisional cluster. These observational constraints are somewhat puzzling and therefore the origin of the long-lived asteroids has not been explained so far.
With the aim to provide a viable explanation, we first update the resonant population and revisit its physical properties. Using an $N$-body model with seven planets and the Yarkovsky effect included, we demonstrate that the dynamical depletion of island $\mathrm{A}$ is faster, in comparison with island $\mathrm{B}$. Then we investigate (i) the survivability of primordial resonant asteroids and (ii) capture of the population during planetary migration, following a recently described scenario with an escaping fifth giant planet and a jumping-Jupiter instability. We also model the collisional evolution of the resonant population over past $4\,\mathrm{Gyr}$. Our conclusion is that the long-lived group was created by resonant capture from a narrow part of hypothetical outer main-belt family during planetary migration. Primordial asteroids surviving the migration were probably not numerous enough to substantially contribute to the observed population.

Read this paper on arXiv…

O. Chrenko, M. Broz, D. Nesvorny, et. al.
Tue, 19 May 15
55/78

Comments: Accepted for publication in MNRAS. 20 pages, 17 figures