The lifetimes of planetary debris discs around white dwarfs

Abstract

The lifetime of a planetary disc which orbits a white dwarf represents a crucial input parameter into evolutionary models of that system. Here we apply a purely analytical formalism to estimate lifetimes of the debris phase of these discs, before they are ground down into dust or are subject to sublimation from the white dwarf. We compute maximum lifetimes for three different types of white dwarf discs, formed from (i) radiative YORP breakup of exo-asteroids along the giant branch phases at 2-100 au, (ii) radiation-less spin-up disruption of these minor planets at $\sim 1.5-4.5R_{\odot }$, and (iii) tidal disruption of minor or major planets within about $1.3R_{\odot }$. We display these maximum lifetimes as a function of disc mass and extent, constituent planetesimal properties, and representative orbital excitations of eccentricity and inclination. We find that YORP discs with masses up to $10^{24}$ kg live long enough to provide a reservoir of surviving cm-sized pebbles and m- to km-sized boulders that can be perturbed intact to white dwarfs with cooling ages of up to 10 Gyr. Debris discs formed from the spin or tidal disruption of these minor planets or major planets can survive in a steady state for up to respectively 1 Myr or 0.01 Myr, although most tidal discs would leave a steady state within about 1 yr. Our results illustrate that dust-less planetesimal transit detections are plausible, and would provide particularly robust evolutionary constraints. Our formalism can easily be adapted to individual systems and future discoveries.

Accepted for publication in MNRAS

References in corpus (57)

• Dynamical Outcomes of Planet-Planet Scattering
• A gaseous metal disk around a white dwarf
• The Chemical Composition of an Extrasolar Minor Planet
• Foretellings of Ragnarök: World-engulfing Asymptotic Giants and the Inheritance of White Dwarfs
• Pollution of single white dwarfs by accretion of many small asteroids
• Hot Jupiters and Cool Stars
• Distant future of the Sun and Earth revisited
• Formation of planetary debris discs around white dwarfs I: Tidal disruption of an extremely eccentric asteroid
• Post-Oligarchic Evolution of Protoplanetary Embryos and the Stability of Planetary Systems
• A planetesimal orbiting within the debris disc around a white dwarf star
• Accretion of a giant planet onto a white dwarf
• The frequency and infrared brightness of circumstellar discs at white dwarfs
• Planet Engulfment by ~1.5-3 Solar-Mass Red Giants
• Oxygen fugacities of extrasolar rocks: Evidence for an Earth-like geochemistry of exoplanets
• A Debris Disk around the Central Star of the Helix Nebula?
• Detectable close-in planets around white dwarfs through late unpacking
• The unbiased frequency of planetary signatures around single and binary white dwarfs using $Spitzer$ and $Hubble$
• Cool DZ white dwarfs I: Identification and spectral analysis
• Dynamical evolution of an eccentric planet and a less massive debris disc
• Variable Emission from a Gaseous Disc around a Metal-Polluted White Dwarf
• Hydrogen delivery onto white dwarfs from remnant exo-Oort cloud comets
• Planetary engulfment as a trigger for white dwarf pollution
• Tidal dissipation in rotating low-mass stars and implications for the orbital evolution of close-in planets I. From the PMS to the RGB at solar metallicity
• Numerical Simulations of Collisional Cascades at the Roche Limits of White Dwarf Stars
• Explaining the variability of WD 1145+017 with simulations of asteroid tidal disruption
• Tidal disruption of planetary bodies by white dwarfs I: A hybrid SPH-analytical approach
• The frequency of gaseous debris discs around white dwarfs
• Evaporation and Accretion of Extrasolar Comets Following White Dwarf Kicks
• The orbital evolution of asteroids, pebbles and planets from giant branch stellar radiation and winds
• White dwarf pollution by planets in stellar binaries
• The Drop during Less than 300 days of a Dusty White Dwarf's Infrared Luminosity
• Are exoplanetesimals differentiated?
• Tidal disruption of planetary bodies by white dwarfs II: Debris disc structure and ejected interstellar asteroids
• WD 1145+017 Photometric Observations During 8 Months of High Activity
• The Effect of Tides on the Population of PN from Interacting Binaries
• The Fate of Exomoons in White Dwarf Planetary Systems
• Numerical Simulations of Gaseous Disks Generated from Collisional Cascades at the Roche Limits of White Dwarf Stars
• Most white dwarfs with detectable dust discs show infrared variability
• Evidence for eccentric, precessing gaseous debris in the circumstellar absorption towards WD 1145+017
• Another one grinds the dust: Variability of the planetary debris disc at the white dwarf SDSS J104341.53+085558.2
• A dearth of small particles in the transiting material around the white dwarf WD 1145+017
• The fates of Solar system analogues with one additional distant planet
• Speeding past planets? Asteroids radiatively propelled by giant branch Yarkovsky effects
• Mass and eccentricity constraints on the planetary debris orbiting the white dwarf WD 1145+017
• Linking long-term planetary $N$-body simulations with periodic orbits: application to white dwarf pollution
• Post-main-sequence debris from rotation-induced YORP break-up of small bodies II: multiple fissions, internal strengths and binary production
• WD 1145+017: Optical Activity During 2016-2017 and Limits on the X-Ray Flux
• Constraining the origin of the planetary debris surrounding ZTF J0139+5245 through rotational fission of a triaxial asteroid
• Binary star influence on post-main-sequence multi-planet stability
• Orbital relaxation and excitation of planets tidally interacting with white dwarfs
• ALMA and Herschel Observations of the Prototype Dusty and Polluted White Dwarf G29-38
• The dynamical history of the evaporating or disrupted ice giant planet around white dwarf WD J0914+1914
• Shallow Ultraviolet Transits of WD 1145+017
• Modelling the distributions of white dwarf atmospheric pollution: a low Mg abundance for accreted planetesimals?
• Ohmic heating of asteroids around magnetic stars
• Survivability of radio-loud planetary cores orbiting white dwarfs
• The grain size survival threshold in one-planet post-main-sequence exoplanetary systems

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• Polluted White Dwarfs Reveal Exotic Mantle Rock Types on Exoplanets in our Solar Neighborhood
• Successive common envelope events from multiple planets
• Orbit decay of 2-100 au planetary remnants around white dwarfs with no gravitational assistance from planets
• The entry geometry and velocity of planetary debris into the Roche sphere of a white dwarf
• A CHEOPS White Dwarf Transit Search
• White dwarf planetary debris dependence on physical structure distributions within asteroid belts
• Polluting White Dwarfs with Oort Cloud Comets
• Evidence for the disruption of a planetary system during the formation of the Helix Nebula
• Rapid destruction of planetary debris around white dwarfs through aeolian erosion
• Short-term stability of particles in the WD J0914+1914 white dwarf planetary system
• Serendipitous discovery of a dusty disc around WDJ181417.84-735459.83
• Characterizing planetary material accreted by cool helium atmosphere white dwarfs using an exponentially decaying disc model
• Planetesimals drifting through dusty and gaseous white dwarf debris discs: Types I, II and III-like migration
• Discovery of an icy and nitrogen-rich extrasolar planetesimal
• White dwarf constraints on geological processes at the population level
• Disruption of exo-asteroids around white dwarfs and the release of dust particles in debris rings in co-orbital motion
• Gaia white dwarfs with infrared excess I. The 100 pc catalogue
• I Can Do It With A Broken Planetesimal: Characterising the planetary debris in heavily polluted cool white dwarfs
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