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.

Accepted to Monthly Notices of the Royal Astronomical Society

References in corpus (8)

• The Occurrence and Mass Distribution of Close-in Super-Earths, Neptunes, and Jupiters
• Transience of hot dust around sun-like stars
• New Debris Disks Around Nearby Main Sequence Stars: Impact on The Direct Detection of Planets
• Nulling interferometry: impact of exozodiacal clouds on the performance of future life-finding space missions
• A Resolved Ring of Debris Dust Around the Solar Analog HD 107146
• Will New Horizons see dust clumps in the Edgeworth-Kuiper belt?
• Evidence for dust accumulation just outside the orbit of Venus
• The Gemini NICI Planet-Finding Campaign: The Offset Ring of HR 4796 A

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• Effects of neighbouring planets on the formation of resonant dust rings in the inner Solar System
• Astrometric exoplanet detection survives solar-like stellar contamination
• Resonant structures in exozodiacal clouds created by exo-Earths in the habitable zone of late-type stars