Self-limited tidal heating and prolonged magma oceans in the L 98-59 system

Abstract

Rocky exoplanets accessible to characterisation often lie on close-in orbits where tidal heating within their interiors is significant, with the L 98-59 planetary system being a prime example. As a long-term energy source for ongoing mantle melting and outgassing, tidal heating has been considered as a way to replenish lost atmospheres on rocky planets around active M-dwarfs. We simulate the early evolution of L 98-59 b, c and d using a time-evolved interior-atmosphere modelling framework, with a self-consistent implementation of tidal heating and redox-controlled outgassing. Emerging from our calculations is a novel self-limiting mechanism between radiative cooling, tidal heating, and mantle rheology, which we term the `radiation-tide-rheology feedback'. Our coupled modelling yields self-limiting tidal heating estimates that are up to two orders of magnitude lower than previous calculations, and yet are still large enough to enable the extension of primordial magma oceans to Gyr timescales. Comparisons with a semi-analytic model demonstrate that this negative feedback is a robust mechanism which can probe a given planet's initial conditions, atmospheric composition, and interior structure. The orbit and instellation of the sub-Venus L 98-59 b likely place it in a regime where tidal heating has kept the planet molten up to the present day, even if it were to have lost its atmosphere. For c and d, a long-lived magma ocean can be induced by tides only with additional atmospheric regulation of energy transport.

Accepted for publication in MNRAS, 19 Pages, 11 Figures

References in corpus (59)

• Seven temperate terrestrial planets around the nearby ultracool dwarf star TRAPPIST-1
• New evolutionary models for pre-main sequence and main sequence low-mass stars down to the hydrogen-burning limit
• On the radiative equilibrium of irradiated planetary atmospheres
• On the Luminosity of Young Jupiters
• Photochemically-produced SO${}_2$ in the atmosphere of WASP-39b
• The active lives of stars: a complete description of rotation and XUV evolution of F, G, K, and M dwarfs
• No thick carbon dioxide atmosphere on the rocky exoplanet TRAPPIST-1 c
• HELIOS-K 2.0 Opacity Calculator and Open-source Opacity Database for Exoplanetary Atmospheres
• The L 98-59 System: Three Transiting, Terrestrial-Sized Planets Orbiting a Nearby M-dwarf
• A secondary atmosphere on the rocky exoplanet 55 Cancri e
• The Elemental Abundances (with Uncertainties) of the Most Earth-like Planet
• Warm terrestrial planet with half the mass of Venus transiting a nearby star
• Retention of water in terrestrial magma oceans and carbon-rich early atmospheres
• Atmospheres of Rocky Exoplanets
• Spatial patterns of tidal heating
• Vertically resolved magma ocean-protoatmosphere evolution: H${}_2$, H${}_2$O, CO${}_2$, CH${}_4$, CO, O${}_2$, and N${}_2$ as primary absorbers
• The High-Energy Radiation Environment Around a 10 Gyr M Dwarf: Habitable at Last?
• A review of possible planetary atmospheres in the TRAPPIST-1 system
• Distinguishing oceans of water from magma on mini-Neptune K2-18b
• Magma oceans and enhanced volcanism on TRAPPIST-1 planets due to induction heating
• Temperature Fluctuations as a Source of Brown Dwarf Variability
• Influence of Stellar Flares on the Chemical Composition of Exoplanets and Spectra
• Formation, tidal evolution and habitability of the Kepler-186 system
• Survival of Terrestrial N2-O2 Atmospheres in Violent XUV Environments through Efficient Atomic Line Radiative Cooling
• Solubility of water in peridotite liquids and the prevalence of steam atmospheres on rocky planets
• Predictions for Observable Atmospheres of Trappist-1 Planets from a Fully Coupled Atmosphere-Interior Evolution Model
• Combined analysis of the 12.8 and 15 $\mu m$ JWST/MIRI eclipse observations of TRAPPIST-1 b
• Hints of a sulfur-rich atmosphere around the 1.6 R${}_{\oplus }$ Super-Earth L98-59 d from JWST NIRSpec G395H transmission spectroscopy
• The erosion of large primary atmospheres typically leaves behind substantial secondary atmospheres on temperate rocky planets
• Atmospheric retrievals suggest the presence of a secondary atmosphere and possible sulfur species on L 98-59 d from JWST NIRSpec G395H transmission spectroscopy
• A cool runaway greenhouse without surface magma ocean
• Super-Earths and Earth-like Exoplanets
• JWST reveals a rapid and strong day side variability of 55 Cancri e
• The distribution of volatile elements during rocky planet formation
• Numerical solution of a non-linear conservation law applicable to the interior dynamics of partially molten planets
• Powering the Galilean Satellites with Moon-Moon Tides
• Isotopic evidence of long-lived volcanism on Io
• The MUSCLES Extension for Atmospheric and Transmission Spectroscopy: UV and X-ray Host-star Observations for JWST ERS & GTO Targets
• Low volcanic outgassing rates for a stagnant lid Archean Earth with graphite-saturated magmas
• Magma ocean evolution at arbitrary redox state
• Interior dynamics of super-Earth 55 Cancri e
• A transmission spectrum of the sub-Earth planet L98-59~b in 1.1-1.7 $\mu$m
• Tides between the TRAPPIST-1 planets
• Evolution and Spectral Response of a Steam Atmosphere for Early Earth with a coupled climate-interior model
• Reduced late bombardment on rocky exoplanets around M-dwarfs
• Hubble WFC3 Spectroscopy of the Terrestrial Planets L~98-59~c \& d: No Evidence for a Clear Hydrogen Dominated Primary Atmosphere
• Mantle mineralogy limits to rocky planet water inventories
• Tidal Dissipation in Dual-Body, Highly Eccentric, and Non-synchronously Rotating Systems: Applications to Pluto-Charon and the Exoplanet TRAPPIST-1e
• Hubble WFC3 Spectroscopy of the Rocky Planet L 98-59 b: No Evidence for a Cloud-Free Primordial Atmosphere
• Europa's ocean translates interior tidal heating patterns to the ice-ocean boundary
• Rapid solidification of Earth's magma ocean limits early lunar recession
• Convective shutdown in the atmospheres of lava worlds
• Suppression of hydrodynamic escape of an H2-rich early Earth atmosphere by radiative cooling of carbon oxides
• Temperature-chemistry coupling in the evolution of gas giant atmospheres driven by stellar flares
• Report of the Working Group on Strategic Exoplanet Initiatives with HST and JWST
• The Pandora SmallSat: A Low-Cost, High Impact Mission to Study Exoplanets and Their Host Stars
• AGNI: A radiative-convective model for lava planet atmospheres
• From stars to diverse mantles, melts, crusts and atmospheres of rocky exoplanets
• The transmission spectrum of the potentially rocky planet L 98-59 c

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• Constraining exoplanet interiors using observations of their atmospheres
• Volatile-rich evolution of molten super-Earth L 98-59 d
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• Ground-based Atmospheric Characterization of Super-Earth L 98-59 d at High Spectral Resolution
• An Evolving Cosmic Shoreline and Sandbar Bounding the Rocky Airless Valley
• Modeling Volcanic Plume Heights Across Exoplanet Atmospheres: Insights from TRAPPIST-1