Tidal and general relativistic effects in rocky planet formation at the substellar mass limit using N-body simulations

Abstract

Recent observational results show that very low mass stars and brown dwarfs are able to host close-in rocky planets. Low-mass stars are the most abundant stars in the Galaxy and the formation efficiency of their planetary systems is relevant in the computation of a global probability of finding Earth-like planets inside habitable zones. Tidal forces and relativistic effects are relevant in the latest dynamical evolution of planets around low-mass stars and their effect on the planetary formation efficiency still needs to be addressed. Our goal is to evaluate the impact of tidal forces and relativistic effects on the formation of rocky planets around a star close to the substellar mass limit, in terms of the resulting planetary architectures and its distribution according to the corresponding evolving habitable zone. Thus, we performed a set of $N$-body simulations spanning the first 100~Myr of the evolution of two systems composed respectively by 224 embryos with a total mass 0.25M${}_{\oplus }$ and 74 embryos with a total mass 3 M${}_{\oplus }$ around a central object of 0.08~M${}_{\odot }$. For these two scenarios, we compared the planetary architectures that result from simulations that are purely gravitational with those from simulations that include the early contraction and spin-up of the central object, the distortions and dissipation tidal terms and general relativistic effects. We found that including these effects allows the formation and survival of a close-in population located in the habitable zone of the system. This means that both effects are relevant during the formation of rocky planets and their early evolution around stars close to the substellar mass limit, in particular when low-mass planetary embryos are involved.

arXiv comment16 pages, 17 figures

References in corpus (55)

• Spectral Energy Distributions of T Tauri Stars With Passive Circumstellar Disks
• Habitable Zones Around Main-Sequence Stars: New Estimates
• 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
• A Universal Stellar Initial Mass Function? A Critical Look at Variations
• The Keck Planet Search: Detectability and the Minimum Mass and Orbital Period Distribution of Extrasolar Planets
• Protoplanetary Disk Structures in Ophiuchus
• Extrasolar planet population synthesis I: Method, formation tracks and mass-distance distribution
• Habitable planets around the star Gl 581?
• Protoplanetary Disk Structures in Ophiuchus II: Extension to Fainter Sources
• The Equilibrium-Tide Model for Tidal Friction
• Is tidal heating sufficient to explain bloated exoplanets? Consistent calculations accounting for finite initial eccentricity
• The nature of the TRAPPIST-1 exoplanets
• A dual-frequency sub-arcsecond study of proto-planetary disks at mm wavelengths: First evidence for radial variations of the dust properties
• Structure and evolution of pre-main sequence circumstellar disks
• A Revised Exoplanet Yield from the Transiting Exoplanet Survey Satellite (TESS)
• The "Mysterious" Origin of Brown Dwarfs
• Multiple-Planet Scattering and the Origin of Hot Jupiters
• Activity in Very Cool Stars: Magnetic Dissipation in late-M and L Dwarf Atmospheres
• The Formation and Early Evolution of Low-mass Stars and Brown Dwarfs
• Why do protoplanetary disks appear not massive enough to form the known exoplanet population?
• A decreased probability of habitable planet formation around low-mass stars
• The Different Evolution of Gas and Dust in Disks around Sun-like and Cool Stars
• Observed Properties of Extrasolar Planets
• Atmospheric characterization of Proxima b by coupling the Sphere high-contrast imager to the Espresso spectrograph
• Kepler Planet Occurrence Rates for Mid-Type M Dwarfs as a Function of Spectral Type
• Calibration of Equilibrium Tide Theory for Extrasolar Planet Systems
• Tidal Venuses: Triggering a Climate Catastrophe via Tidal Heating
• The CARMENES search for exoplanets around M dwarfs. Two temperate Earth-mass planet candidates around Teegarden's Star
• Volatile Delivery to Planets from Water-rich Planetesimals around Low Mass Stars
• The potential for Earth-mass planet formation around brown dwarfs
• Sublimation Temperature of Circumstellar Dust Particles and Its Importance for Dust Ring Formation
• Brown dwarf disks with ALMA: evidence for truncated dust disks in Ophiuchus
• Brown dwarf disks with ALMA
• Tidal evolution of planets around brown dwarfs
• Mercury-T: A new code to study tidally evolving multi-planet systems. Applications to Kepler-62
• No pseudosynchronous rotation for terrestrial planets and moons
• A frozen super-Earth orbiting a star at the bottom of the Main Sequence
• Pebbles versus Planetesimals: The case of Trappist-1
• CARMA interferometric observations of 2MASS J044427+2512: the first spatially resolved observations of thermal emission of a brown dwarf disk
• ALMA observations of rho-Oph 102: grain growth and molecular gas in the disk around a young Brown Dwarf
• CoRoT-7 b: Super-Earth or Super-Io?
• Catalog for the ESPRESSO blind radial velocity exoplanet survey
• Diverse outcomes of planet formation and composition around low-mass stars and brown dwarfs
• On the dynamics of multiple systems of hot super-Earths and Neptunes: Tidal circularization, resonance and the HD 40307 system
• First limits on the occurrence rate of short-period planets orbiting brown dwarfs
• Formation of solar system analogs I: looking for initial conditions through a population synthesis analysis
• Tidal dissipation and eccentricity pumping: Implications for the depth of the secondary eclipse of 55 Cnc e
• Tidal effects on brown dwarfs: Application to the eclipsing binary 2MASSJ05352184-0546085 - The anomalous temperature reversal in the context of tidal heating
• Hints for Small Disks around Very Low-Mass Stars and Brown Dwarfs
• Rotation Periods of Young Brown Dwarfs: K2 Survey in Upper Scorpius
• The role of the general relativity on icy body reservoirs under the effects of an inner eccentric Jupiter
• The Relativistic Factor in the Orbital Dynamics of Point Masses
• Close encounters of a rotating star with planets in parabolic orbits of varying inclination and the formation of Hot Jupiters
• Physical properties of terrestrial planets and water delivery in the habitable zone using N-body simulations with fragmentation

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• Gas disk interactions, tides and relativistic effects in the rocky planet formation at the substellar mass limit
• Can tidal evolution lead to close-in planetary bodies around white dwarfs II: volcanism and transits
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