Variations on Debris Disks III. Collisional Cascades and Giant Impacts in the Terrestrial Zones of Solar-type Stars

Abstract

We analyze two new sets of coagulation calculations for solid particles orbiting within the terrestrial zone of a solar-type star. In models of collisional cascades, numerical simulations demonstrate that the total mass, the mass in 1 mm and smaller particles, and the dust luminosity decline with time more rapidly than predicted by analytic models, $\propto t^{-n}$ with $n\approx$ 1.1-1.2 instead of 1. Size distributions derived from the numerical calculations follow analytic predictions at radii less than 0.1 km but are shallower than predicted at larger sizes. In simulations of planet formation, the dust luminosity declines more slowly than in pure collisional cascades, with $n\approx$ 0.5-0.8 instead of 1.1-1.2. Throughout this decline, giant impacts produce large, observable spikes in dust luminosity which last roughly 0.01-0.1 Myr and recur every 1-10 Myr. If most solar-type stars have Earth mass planets with $a\lesssim$ 1-2 AU, observations of debris around 1-100 Myr stars allow interesting tests of theory. Current data preclude theories where terrestrial planets form out of 1000 km or larger planetesimals. Although the observed frequency of debris disks among $\gtrsim$ 30 Myr old stars agrees with our calculations, the observed frequency of warm debris among 5-20 Myr old stars is smaller than predicted.

43 pages of text, 1 table, 30 figures, ApJ, in press

References in corpus (34)

• Transience of hot dust around sun-like stars
• Debris disks around Sun-like stars
• Exoplanet population inference and the abundance of Earth analogs from noisy, incomplete catalogs
• Variations on Debris Disks: Icy Planet Formation at 30-150 AU for 1-3 Solar Mass Main Sequence Stars
• Formation and Evolution of Planetary Systems (FEPS): Properties of Debris Dust around Solar-type Stars
• Long-Term Collisional Evolution of Debris Disks
• Steady-State Size Distributions for Collisional Populations: Analytical Solution with Size-Dependent Strength
• Collisional processes and size distribution in spatially extended debris discs
• Full Numerical Simulations of Catastrophic Small Body Collisions
• The History of the Solar System's Debris Disc: Observable Properties of the Kuiper Belt
• Evolution of Mid-IR Excess Around Sun-like Stars: Constraints on Models of Terrestrial Planet Formation
• Large Impacts around a Solar Analog Star in the Era of Terrestrial Planet Formation
• The Rise and Fall of Debris Disks: MIPS Observations of h and chi Persei and the Evolution of Mid-IR Emission from Planet Formation
• A Hybrid N-body--Coagulation Code for Planet Formation
• A near-infrared interferometric survey of debris-disc stars. IV. An unbiased sample of 92 southern stars observed in H-band with VLTI/PIONIER
• Warm dust in the terrestrial planet zone of a sun-like Pleiad: collisions between planetary embryos?
• Spitzer 24 Micron Observations of Open Cluster IC 2391 and Debris Disk Evolution of FGK Stars
• Collisional dust avalanches in debris discs
• A Sensitive Identification of Warm Debris Disks in the Solar Neighborhood Through Precise Calibration of Saturated WISE Photometry
• IRS Spectra of Solar-Type Stars: \break A Search for Asteroid Belt Analogs
• Variability of the Infrared Excess of Extreme Debris Disks
• Planetary Collisions outside the Solar System: Time Domain Characterization of Extreme Debris Disks
• Debris Disks in NGC 2547
• First-light LBT nulling interferometric observations: warm exozodiacal dust resolved within a few AU of eta Corvi
• Models of the Collisional Damping Scenario for Ice Giant Planets and Kuiper Belt Formatio
• The nature of mid-infrared excesses from hot dust around Sun-like stars
• The Incidence of Debris Disks at 24 μm and 670 Myr
• Formation of Super-Earth Mass Planets at 125-250 AU from a Solar-type Star
• Fomalhaut b as a Cloud of Dust: Testing Aspects of Planet Formation Theory
• The discovery of new warm debris disks around F-type stars
• A Deep Spitzer Survey of Circumstellar Disks in the Young Double Cluster, h and chi Persei
• Debris disc formation induced by planetary growth
• Terrestrial Zone Debris Disk Candidates in h and chi Persei
• Probing the Terrestrial Regions of Planetary Systems: Warm Debris Disks with Emission Features

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• Orphaned Exomoons: Tidal Detachment and Evaporation Following an Exoplanet-Star Collision
• A Pluto-Charon Sonata: The Dynamical Architecture of the Circumbinary Satellite System
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• Variations on Debris Disks IV. An Improved Analytical Model for Collisional Cascades
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• A Pluto--Charon Concerto II. Formation of a Circumbinary Disk of Debris After the Giant Impact
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• Rapid destruction of planetary debris around white dwarfs through aeolian erosion
• An ALMA 1.3 millimeter Search for Debris Disks around Solar-type Stars in the Pleiades
• Takeout and Delivery: Erasing the Dusty Signature of Late-stage Terrestrial Planet Formation
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