Exoplanet recycling in massive white-dwarf debris discs

TL;DR

This paper explores how massive debris discs around white dwarfs can evolve through viscous spreading, leading to the formation of new planets and minor bodies, potentially explaining observed phenomena.

Contribution

It introduces a model for the evolution of massive white dwarf debris discs, showing how they can produce new planets and minor bodies via viscous spreading and recycling.

Findings

Discs with >10^26 g mass undergo viscous spreading dominated evolution.

Outward spreading material can coagulate into new planets near the Roche limit.

Recycling of disc material can produce Earth-mass planets in habitable zones.

Abstract

Several tens of white dwarfs are known to host circumstellar discs of dusty debris, thought to arise from the tidal disruption of rocky bodies originating in the star's remnant planetary system. This paper investigates the evolution of such discs if they are very massive, as may be the case if their progenitor was a terrestrial planet, moon, or dwarf planet. Assuming the discs are physically thin and flat, like Saturn's rings, their evolution is governed by Poynting-Robertson drag or viscous spreading, where the disc's effective viscosity is due to self-gravity wakes. For discs with masses >10^26 g, located in the outer parts of the tidal disruption zone, viscous spreading dominates the evolution, and mass is transported both in- and outwards. When outwards-spreading material flows beyond the Roche limit, it coagulates into new (minor) planets in a process analogous to the ongoing formation of moonlets at the outer edge of Saturn's rings. The newly formed bodies migrate outwards by exchanging angular momentum with the disc and coalesce into larger objects through mutual collisions. Eventually, the disc's Roche-limit overflow recycles tens of percent of the original disc mass; most ends up in a single large body near 2:1 mean-motion resonance with the disc's outer edge. Hence, the recycling of a tidally disrupted super-Earth, for example, could yield an Earth-mass planet on a ~10-h orbit, located in the habitable zone for 2-to-10-Gyr-old white dwarfs. The recycling process also creates a population of smaller bodies just outside the Roche limit, which may explain the minor planets recently postulated to orbit WD 1145+017.