Capture and evolution of dust in planetary mean-motion resonances: a fast, semi-analytic method for generating resonantly trapped disk images

Abstract

Dust grains migrating under Poynting-Robertson drag may be trapped in mean-motion resonances with planets. Such resonantly trapped grains are observed in the solar system. In extrasolar systems, the exozodiacal light produced by dust grains is expected to be a major obstacle to future missions attempting to directly image terrestrial planets. The patterns made by resonantly trapped dust, however, can be used to infer the presence of planets, and the properties of those planets, if the capture and evolution of the grains can be modelled. This has been done with N-body methods, but such methods are computationally expensive, limiting their usefulness when considering large, slowly evolving grains, and for extrasolar systems with unknown planets and parent bodies, where the possible parameter space for investigation is large. In this work, we present a semi-analytic method for calculating the capture and evolution of dust grains in resonance, which can be orders of magnitude faster than N-body methods. We calibrate the model against N-body simulations, finding excellent agreement for Earth to Neptune mass planets, for a variety of grain sizes, initial eccentricities, and initial semimajor axes. We then apply the model to observations of dust resonantly trapped by the Earth. We find that resonantly trapped, asteroidally produced grains naturally produce the `trailing blob' structure in the zodiacal cloud, while to match the intensity of the blob, most of the cloud must be composed of cometary grains, which owing to their high eccentricity are not captured, but produce a smooth disk.

arXiv commentAccepted to Monthly Notices of the Royal Astronomical Society

References in corpus (35)

• The Occurrence and Mass Distribution of Close-in Super-Earths, Neptunes, and Jupiters
• Cometary Origin of the Zodiacal Cloud and Carbonaceous Micrometeorites
• The COBE Diffuse Infrared Background Experiment Search for the Cosmic Infrared Background: II. Model of the Interplanetary Dust Cloud
• A planetary system as the origin of structure in Fomalhaut's dust belt
• Transience of hot dust around sun-like stars
• Collisional Processes in Extrasolar Planetsimal Disks - Dust Clumps in Fomalhaut's Debris Disk
• Fomalhaut's Debris Disk and Planet: Constraining the Mass of Fomalhaut b From Disk Morphology
• Resonant Trapping of Planetesimals by Planet Migration: Debris Disk Clumps and Vega's Similarity to the Solar System
• The Insignificance of P-R Drag in Detectable Extrasolar Planetesimal Belts
• New Debris Disks Around Nearby Main Sequence Stars: Impact on The Direct Detection of Planets
• The Geometry of Resonant Signatures in Debris Disks with Planets
• Constraining the Planetary System of Fomalhaut Using High-Resolution ALMA Observations
• On the Plutinos and Twotinos of the Kuiper Belt
• Exo--Zodiacal Dust Levels for Nearby Main Sequence Stars
• Resolved Imaging of the HR 8799 Debris Disk with Herschel
• A Signature of Planetary Migration: The Origin of Asymmetric Capture in the 2:1 Resonance
• The bright end of the exo-Zodi luminosity function: Disk evolution and implications for exo-Earth detectability
• Reducing the Probability of Capture into Resonance
• Resolved Submillimeter Observations of the HR 8799 and HD 107146 Debris Disks
• Images of the Extended Outer Regions of the Debris Ring Around HR 4796 A
• Collisional Grooming Models of the Kuiper Belt Dust Cloud
• A general model of resonance capture in planetary systems: First and second order resonances
• Numerical Modelling of Dusty Debris Disks
• Nulling interferometry: impact of exozodiacal clouds on the performance of future life-finding space missions
• The Detectability of Exo-Earths and Super-Earths Via Resonant Signatures in Exozodiacal Clouds
• Dissecting the Moth: Discovery of an off-centered ring in the HD 61005 debris disk with high-resolution imaging
• Predictions for Shepherding Planets in Scattered Light Images of Debris Disks
• Collisional evolution of eccentric planetesimal swarms
• An interferometric study of the Fomalhaut inner debris disk II. Keck Nuller mid-infrared observations
• Spatially resolved imaging of the two-component eta Crv debris disk with Herschel
• A Resolved Ring of Debris Dust Around the Solar Analog HD 107146
• AKARI/IRC 18 Micron Survey of Warm Debris Disks
• Evidence for dust accumulation just outside the orbit of Venus
• Will New Horizons see dust clumps in the Edgeworth-Kuiper belt?
• The Gemini NICI Planet-Finding Campaign: The Offset Ring of HR 4796 A

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• Insights into the planetary dynamics of HD 206893 with ALMA
• Speeding past planets? Asteroids radiatively propelled by giant branch Yarkovsky effects
• Using warm dust to constrain unseen planets
• Debris Disks in Multi-Planet Systems: Are Our Inferences Compromised by Unseen Planets?
• Effects of neighbouring planets on the formation of resonant dust rings in the inner Solar System
• Effects of disc asymmetries on astrometric measurements - Can they mimic planets?
• Circumstellar discs: What will be next?
• Locations of stationary/periodic solutions in mean motion resonances according to properties of dust grains
• The HOSTS Survey for Exozodiacal Dust: Preliminary results and future prospects
• Dust in the arcs of Methone and Anthe
• Resonant structures in exozodiacal clouds created by exo-Earths in the habitable zone of late-type stars
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