Tides between the TRAPPIST-1 planets

Abstract

The TRAPPIST-1 system is sufficiently closely packed that tides raised by one planet on another are significant. We investigate whether this source of tidal heating is comparable to eccentricity tides raised by the star. Assuming a homogeneous body with a Maxwell rheology, we find that energy dissipation from stellar tides always dominates over that from planet-planet tides across a range of viscosities. TRAPPIST-1 g may experience the greatest proportion of planet-planet tidal heating, where it can account for between 2% and 20% of the total amount of tidal heating, for high ($10^{21}$ Pa s) and low viscosity ($10^{14}$ Pa s) regimes, respectively. If planet-planet tidal heating is to exceed that from stellar eccentricity tides, orbital eccentricities must be no more than e=$10^{-3}$ to $10^{-4}$ for most of the TRAPPIST-1 planets.

14 pages - 7 figures - accepted to ApJ

References in corpus (10)

• Seven temperate terrestrial planets around the nearby ultracool dwarf star TRAPPIST-1
• Temperate Earth-sized planets transiting a nearby ultracool dwarf star
• A seven-planet resonant chain in TRAPPIST-1
• The nature of the TRAPPIST-1 exoplanets
• Extracting Planet Mass and Eccentricity From TTV data
• Tidally Heated Terrestrial Exoplanets: Viscoelastic Response Models
• Increased Tidal Dissipation Using Advanced Rheological Models: Implications for Io and Tidally Active Exoplanets
• Early 2017 observations of TRAPPIST-1 with $\text{Spitzer}$
• Interior Structures and Tidal Heating in the TRAPPIST-1 Planets
• Planet-Planet Tides in the TRAPPIST-1 System

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• On the impact of tides on the transit-timing fits to the TRAPPIST-1 system
• Spin-orbit coupling for close-in planets
• Convective shutdown in the atmospheres of lava worlds
• The subsurface habitability of small, icy exomoons
• Self-limited tidal heating and prolonged magma oceans in the L 98-59 system
• Estimation of the tidal heating in the TRAPPIST-1 planets. Influence of the internal structure
• Atmospheric gravitational tides of Earth-like planets orbiting low-mass stars
• Disentangling Atmospheric Compositions of K2-18 b with Next Generation Facilities
• What the Solar System Can Teach Us About Rocky Exoplanets