
TL;DR
This paper analytically investigates how high-order mean-motion resonances can create extended chaotic zones around planets, affecting the stability and distribution of low-mass bodies in planetary systems.
Contribution
It introduces a model for the formation of extended chaotic zones due to densely distributed high-order resonances, expanding understanding beyond the traditional Wisdom gap.
Findings
Extended chaotic zones can span between the 2/1 and 1/1 resonances.
Inner regions inside the 2/1 resonance are generally stable.
The structure of planetesimal disks is influenced by these chaotic zones.
Abstract
We consider the chaotic motion of low-mass bodies in two-body high-order mean-motion resonances with planets in model planetary systems, and analytically estimate the Lyapunov and diffusion timescales of the motion in multiplets of interacting subresonances corresponding to the mean-motion resonances. We show that the densely distributed (though not overlapping) high-order mean-motion resonances, when certain conditions on the planetary system parameters are satisfied, may produce extended planetary chaotic zones -- "zones of weak chaotization," -- much broader than the well-known planetary connected chaotic zone, the Wisdom gap. This extended planetary chaotic zone covers the orbital range between the 2/1 and 1/1 resonances with the planet. On the other hand, the orbital space inner (closer to the host star) with respect to the 2/1 resonance location is essentially long-term stable.…
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