Disruption of exo-asteroids around white dwarfs and the release of dust particles in debris rings in co-orbital motion

Abstract

Close to the Roche radius of a white dwarf (WD), an asteroid on a circular orbit sheds material that then adopts a very similar orbit. Observations of the resulting debris show a periodic behavior and changes in flux on short timescales, implying ongoing dynamical activity. Additional encounters from other minor planets may then yield co-orbital rings of debris at different inclinations. The structure, dynamics, and lifetime of these debris discs remains highly uncertain, but is important for understanding WD planetary systems. We aim to identify and quantify the locations of co-orbitals in WD-asteroid-dust particle 3-body systems by exploring the influence of 1:1 resonant periodic orbits. We begin this exploration with co-planar and inclined orbits in the circular restricted 3-body problem (CRTBP) and model the dynamical evolution of these exosystems over observable timescales. The mass ratio parameter for this class of systems ($2\times 10^{-11}$) is one of the lowest ever explored in this dynamical configuration. We computed the periodic orbits, deduced their linear stability, and suitably seeded the dynamical stability maps. We carried out a limited suite of N-body simulations to provide direct comparisons with the maps. We derive novel results for this extreme mass ratio in the CRTBP, including new unstable 3D families. We illustrate through the maps and N-body simulations where dust can exist in a stable configuration over observable timescales across a wide expanse of parameter space in the absence of strong external forces. Over a timescale of 10 yr, the maximum orbital period deviations of stable debris due to the co-orbital perturbations of the asteroid is about a few seconds. Unstable debris in a close encounter with the asteroid typically deviates from the co-orbital configuration by more than about 20 km and is on a near-circular orbit with an eccentricity lower than ~0.01.

arXiv commentAccepted for publication in A&A

References in corpus (65)

• REBOUND: An open-source multi-purpose N-body code for collisional dynamics
• IAS15: A fast, adaptive, high-order integrator for gravitational dynamics, accurate to machine precision over a billion orbits
• A disintegrating minor planet transiting a white dwarf
• The Link Between Planetary Systems, Dusty White Dwarfs, and Metal Polluted White Dwarfs
• Formation of planetary debris discs around white dwarfs I: Tidal disruption of an extremely eccentric asteroid
• Constraints on the Lifetimes of Disks Resulting from Tidally Destroyed Rocky Planetary Bodies
• Extrasolar Trojans: The Viability and Detectability of Planets in the 1:1 Resonance
• Doppler-imaging of the planetary debris disc at the white dwarf SDSS J122859.93+104032.9
• Drifting Asteroid Fragments Around WD 1145+017
• I Spy Transits and Pulsations: Empirical Variability in White Dwarfs Using Gaia and the Zwicky Transient Facility
• High-speed photometry of the disintegrating planetesimals at WD1145+017: evidence for rapid dynamical evolution
• A White Dwarf with Transiting Circumstellar Material Far Outside the Roche Limit
• Asteroid (469219) 2016 HO3, the smallest and closest Earth quasi-satellite
• 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
• Tidal disruption of planetary bodies by white dwarfs II: Debris disc structure and ejected interstellar asteroids
• On the co-orbital motion of two planets in quasi-circular orbits
• Recurring Planetary Debris Transits and Circumstellar Gas around White Dwarf ZTF J0328$-$1219
• WD 1145+017 Photometric Observations During 8 Months of High Activity
• Resonant periodic orbits in the exoplanetary systems
• Quasi-satellite orbits in the general context of dynamics in the 1:1 mean motion resonance. Perturbative treatment
• Dynamics of two planets in co-orbital motion
• 2/1 resonant periodic orbits in three dimensional planetary systems
• Relentless and Complex Transits from a Planetesimal Debris Disk
• An interstellar origin for Jupiter's retrograde co-orbital asteroid
• 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
• The TROY project: Searching for co-orbital bodies to known planets. I. Project goals and first results from archival radial velocity
• Fast spectrophotometry of WD 1145+017
• Spectral analysis of ultra-cool white dwarfs polluted by planetary debris
• The lifetimes of planetary debris discs around white dwarfs
• WD 1145+017: Optical Activity During 2016-2017 and Limits on the X-Ray Flux
• Co-orbital exoplanets from close period candidates: The TOI-178 case
• Detection of co-orbital planets by combining transit and radial-velocity measurements
• High-eccentricity migration of planetesimals around polluted white dwarfs
• Accretion of tidally disrupted asteroids onto white dwarfs: direct accretion versus disk processing
• The 1:1 resonance in Extrasolar Systems: Migration from planetary to satellite orbits
• On the co-orbital motion in the planar restricted three-body problem: the quasi-satellite motion revisited
• Driving white dwarf metal pollution through unstable eccentric periodic orbits
• Asteroid 2014 OL339: yet another Earth quasi-satellite
• Asynchronous accretion can mimic diverse white dwarf pollutants I: core and mantle fragments
• The Geometry of the G29-38 White Dwarf Dust Disk from Radiative Transfer Modeling
• Orbital stability of coplanar two-planet exosystems with high eccentricities
• How Sublimation Delays the Onset of Dusty Debris Disk Formation Around White Dwarf Stars
• Dynamical mass and multiplicity constraints on co-orbital bodies around stars
• On the coplanar eccentric non restricted co-orbital dynamics
• Origin and continuation of 3/2, 5/2, 3/1, 4/1 and 5/1 resonant periodic orbits in the circular and elliptic restricted three-body problem
• Necroplanetology: Simulating the Tidal Disruption of Differentiated Planetary Material Orbiting WD 1145+017
• The entry geometry and velocity of planetary debris into the Roche sphere of a white dwarf
• A simple bound for the variation at closest approach of a small body and star due to general relativity
• Parametrized Post-Newtonian Orbital Effects in Extrasolar Planets
• On quasi-satellite periodic motion in asteroid and planetary dynamics
• Tentative co-orbital submillimeter emission within the Lagrangian region L5 of the protoplanet PDS 70 b
• Spatial resonant periodic orbits in the restricted three-body problem
• On the co-orbital motion in the three-body problem: existence of quasi-periodic horseshoe-shaped orbits
• Puzzling out the coexistence of terrestrial planets and giant exoplanets. The 2/1 resonant periodic orbits
• Velocity-imaging the rapidly precessing planetary disc around the white dwarf HE 1349-2305 using Doppler tomography
• Asteroid 2017 FZ2 et al.: signs of recent mass-shedding from YORP?
• Periodic orbits in the 1:2:3 resonant chain and their impact on the orbital dynamics of the Kepler-51 planetary system
• Using Mars co-orbitals to estimate the importance of rotation-induced YORP break-up events in Earth co-orbital space
• Exploiting periodic orbits as dynamical clues for Kepler and K2 systems
• The structure of the co-orbital stable regions as a function of the mass ratio
• 1/1 resonant periodic orbits in three dimensional planetary systems
• Constellations of co-orbital planets: horseshoe dynamics, long-term stability, transit timing variations, and potential as SETI beacons
• Survival and dynamics of rings of co-orbital planets under perturbations