Evolutionary Analysis of Gaseous Sub-Neptune-Mass Planets with MESA

Abstract

Sub-Neptune-sized exoplanets represent one of the most common types of planets in the Milky Way, yet many of their properties are unknown. Here, we present a prescription to adapt the capabilities of the stellar evolution toolkit Modules for Experiments in Stellar Astrophysics (MESA) to model sub-Neptune mass planets with H/He envelopes. With the addition of routines treating the planet core luminosity, heavy element enrichment, atmospheric boundary condition, and mass loss due to hydrodynamic winds, the evolutionary pathways of planets with diverse starting conditions are more accurately constrained. Using these dynamical models, we construct mass-composition relationships of planets from 1 to 400 $M_{\oplus }$ and investigate how mass-loss impacts their composition and evolution history. We demonstrate that planet radii are typically insensitive to the evolution pathway that brought the planet to its instantaneous mass, composition and age, with variations from hysteresis. We find that planet envelope mass loss timescales, ${\tau }_{\mathrm{env}}$, vary non-monotonically with H/He envelope mass fractions (at fixed planet mass). In our simulations of young (100~Myr) low-mass ($M_p\lesssim 10M_{\oplus }$) planets with rocky cores, ${\tau }_{\mathrm{env}}$ is maximized at $M_{\mathrm{env}}/M_p=1\%$ to $3\%$. The resulting convergent mass loss evolution could potentially imprint itself on the close-in planet population as a preferred H/He mass fraction of $\sim 1\%$. Looking ahead, we anticipate that this numerical code will see widespread applications complementing both 3-D models and observational exoplanet surveys.

18 pages, 9 figures, and 4 tables. Accepted to the Astrophysical Journal on August 29th, 2016

References in corpus (68)

• Modules for Experiments in Stellar Astrophysics (MESA)
• Modules for Experiments in Stellar Astrophysics (MESA): Giant Planets, Oscillations, Rotation, and Massive Stars
• Modules for Experiments in Stellar Astrophysics (MESA): Binaries, Pulsations, and Explosions
• Planet Occurrence within 0.25 AU of Solar-type Stars from Kepler
• The false positive rate of Kepler and the occurrence of planets
• Planetary Candidates Observed by Kepler, III: Analysis of the First 16 Months of Data
• Planetary Radii across Five Orders of Magnitude in Mass and Stellar Insolation: Application to Transits
• Evolution of the Solar Activity over Time and Effects on Planetary Atmospheres: I. High-energy Irradiances (1-1700 A)
• Prevalence of Earth-size planets orbiting Sun-like stars
• Kepler planets: a tale of evaporation
• Most 1.6 Earth-Radius Planets are not Rocky
• Atmospheric Escape from Hot Jupiters
• Understanding the Mass-Radius Relation for Sub-Neptunes: Radius as a Proxy for Composition
• A Closely-Packed System of Low-Mass, Low-Density Planets Transiting Kepler-11
• The Occurrence and Mass Distribution of Close-in Super-Earths, Neptunes, and Jupiters
• The Mass-Radius Relation for 65 Exoplanets Smaller than 4 Earth Radii
• On the radiative equilibrium of irradiated planetary atmospheres
• Validation of Kepler's Multiple Planet Candidates. III: Light Curve Analysis & Announcement of Hundreds of New Multi-planet Systems
• The Role of Core Mass in Controlling Evaporation: the Kepler Radius Distribution and the Kepler-36 Density Dichotomy
• Masses, Radii, and Orbits of Small Kepler Planets: The Transition from Gaseous to Rocky Planets
• Line and Mean Opacities for Ultracool Dwarfs and Extrasolar Planets
• Roche lobe effects on the atmospheric loss of "Hot Jupiters"
• Planetary evaporation by UV & X-ray radiation: basic hydrodynamics
• How Thermal Evolution and Mass Loss Sculpt Populations of Super-Earths and Sub-Neptunes: Application to the Kepler-11 System and Beyond
• Kepler-36: A Pair of Planets with Neighboring Orbits and Dissimilar Densities
• Gaseous Mean Opacities for Giant Planet and Ultracool Dwarf Atmospheres over a Range of Metallicities and Temperatures
• Terrestrial Planet Occurrence Rates for the Kepler GK Dwarf Sample
• Planetary population synthesis coupled with atmospheric escape: a statistical view of evaporation
• Characteristics of Kepler Planetary Candidates Based on the First Data Set: The Majority are Found to be Neptune-Size and Smaller
• A Framework for Quantifying the Degeneracies of Exoplanet Interior Compositions
• Structure and evolution of super-Earth to super-Jupiter exoplanets: I. heavy element enrichment in the interior
• Formation and Structure of Low Density Exo-Neptunes
• Characterization of exoplanets from their formation II: The planetary mass-radius relationship
• Planetary Candidates Observed by Kepler VI: Planet Sample from Q1-Q16 (47 Months)
• A diagram for the evaporation status of extrasolar planets
• The Exoplanet Orbit Database II: Updates to exoplanets.org
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• Atmospheres of low-mass planets: the "boil-off"
• Planetary Candidates Observed by Kepler IV: Planet Sample From Q1-Q8 (22 Months)
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• Habitable Evaporated Cores: Transforming Mini-Neptunes into Super-Earths in the Habitable Zones of M Dwarfs
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• Mass-Radius Relationships for Very Low Mass Gaseous Planets
• Dynamical Measurements of the Interior Structure of Exoplanets

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