Evolution of Planetary Chaotic Zones in Planetesimal Disks

Abstract

Extensive numerical experiments on the long-term dynamics of planetesimal disks with planets in systems of single stars have been carried out. The planetary chaotic zone clearing timescales $T_{\mathrm{cl}}$ as a function of mass parameter $\mu$ (planet-star mass ratio) have been determined numerically with a high accuracy separately for the outer and inner parts of the chaotic zone. Diffusional components $\propto {\mu }^{-6/7}$ and $\propto {\mu }^{-2}$ have been revealed in the dependence $T_{\mathrm{cl}}(\mu )$. The results obtained are discussed and interpreted in light of existing analytical theories based on the mean motion resonance overlap criterion and in comparison with previous numerical approaches to the problem.

20 pages, 9 figures, 31 references

References in corpus (24)

• Direct Imaging of Multiple Planets Orbiting the Star HR 8799
• Images of a fourth planet orbiting HR 8799
• How Observations of Circumstellar Disk Asymmetries Can Reveal Hidden Planets: Pericenter Glow and its Application to the HR 4796 Disk
• Fomalhaut's Debris Disk and Planet: Constraining the Mass of Fomalhaut b From Disk Morphology
• Discovery of a probable 4-5 Jupiter-mass exoplanet to HD 95086 by direct-imaging
• Asteroid Belts in Debris Disk Twins: VEGA and FOMALHAUT
• The Geometry of Resonant Signatures in Debris Disks with Planets
• Predictions for a planet just inside Fomalhaut's eccentric ring
• Structure in the Epislon Eridani dusty disk caused by mean motion resonances with a 0.3 eccentricity planet at periastron
• Dynamical evolution of an eccentric planet and a less massive debris disc
• Planetary chaotic zone clearing: destinations and timescales
• Chaotic zone boundary for low free eccentricity particles near an eccentric planet
• Predictions for Shepherding Planets in Scattered Light Images of Debris Disks
• An independent determination of Fomalhaut b's orbit and the dynamical effects on the outer dust belt
• A gap in HD 92945's broad planetesimal disc revealed by ALMA
• The Resonance Overlap and Hill Stability Criteria Revisited
• A detailed characterization of HR 8799's debris disk with ALMA in Band 7
• Insights into the planetary dynamics of HD 206893 with ALMA
• The width of a chaotic layer
• Resolving Structure in the Debris Disk around HD 206893 with ALMA
• Three-lane and multi-lane signatures of planets in planetesimal disks
• Width of the chaotic layer: maxima due to marginal resonances
• Limits on the presence of planets in systems with debris disks: HD 92945 and HD 107146
• Long-Term Dynamics of Planetesimals in Planetary Chaotic Zones

Cited by in corpus (1)

• Stable Orbits in the Feeding Zone of the Planet Proxima Centauri c