A Validated Low-to-Intermediate Mass Planetary Interior Structure Model and New Mass-Radius Relations
arXiv:2604.15304 · doi:10.1093/mnras/stag1076
Abstract
The increasing precision of planetary mass and radius observations is bringing major questions about the structure and formation of planets--such as the nature of the radius valley and origin of super-Mercuries--within reach, demanding the development of interior structure models with more physics to more accurately determine planetary radii for a given composition. Here, we present a new model that includes state-of-the-art equations of state following the latest experimental and computational results, a physically-motivated mineralogy allowing multiple species to coexist within planetary layers, a non-adiabatic temperature profile, melting, and other features. This model replicates Earth's radius and moment of inertia coefficient to within , Mars and the Moon's to within , and Mercury, Venus, and Europa's to within or 3. We use this model to calculate mass-radius relationships for H/He-enveloped, water-rich, Earth-like, and iron-rich bodies with masses between --. We calculate mass-radius tables and fit piece-wise power-laws to them for planets, finding that the exponent in increases with mass and core mass fraction. We find radii generally smaller than in literature mass-radius relations at low instellations and larger at high instellations, with our improvement on the literature comparable to observational uncertainties. State-of-the-art interior structure models are thus required to interpret observational data. Our mass-radius curves comprising 32,975 model planets are publicly available.
41 pages, 19 figures, 6 tables. Second revision, accepted by reviewer but awaiting formal acceptance from journal
References in corpus (128)
- SciPy 1.0--Fundamental Algorithms for Scientific Computing in Python
- Array Programming with NumPy
- Modules for Experiments in Stellar Astrophysics (MESA): Giant Planets, Oscillations, Rotation, and Massive Stars
- Modules for Experiments in Stellar Astrophysics (MESA): Pulsating Variable Stars, Rotation, Convective Boundaries, and Energy Conservation
- Habitable Zones Around Main-Sequence Stars: New Estimates
- The California-Kepler Survey. III. A Gap in the Radius Distribution of Small Planets
- Planetary Radii across Five Orders of Magnitude in Mass and Stellar Insolation: Application to Transits
- Mass-Radius Relationships for Solid Exoplanets
- Kepler planets: a tale of evaporation
- Most 1.6 Earth-Radius Planets are not Rocky
- Understanding the Mass-Radius Relation for Sub-Neptunes: Radius as a Proxy for Composition
- Probabilistic Forecasting of the Masses and Radii of Other Worlds
- Growth Model Interpretation of Planet Size Distribution
- On the radiative equilibrium of irradiated planetary atmospheres
- Internal Structure of Massive Terrestrial Planets
- The California Kepler Survey VII. Precise Planet Radii Leveraging Gaia DR2 Reveal the Stellar Mass Dependence of the Planet Radius Gap
- An asteroseismic view of the radius valley: stripped cores, not born rocky
- Mass-Radius Relation for Rocky Planets based on PREM
- The Mass-Metallicity Relation for Giant Planets
- A Precise Water Abundance Measurement for the Hot Jupiter WASP-43b
- Sculpting the Valley in the Radius Distribution of Small Exoplanets as a by-product of Planet Formation: The Core-Powered Mass-Loss Mechanism
- Comparing Jupiter interior structure models to Juno gravity measurements and the role of a dilute core
- Gaseous Mean Opacities for Giant Planet and Ultracool Dwarf Atmospheres over a Range of Metallicities and Temperatures
- Can we constrain interior structure of rocky exoplanets from mass and radius measurements?
- Stellar Abundances in the Solar Neighborhood: The Hypatia Catalog
- Characterization of exoplanets from their formation II: The planetary mass-radius relationship
- Formation of planetary systems by pebble accretion and migration: How the radial pebble flux determines a terrestrial-planet or super-Earth growth mode
- The Atmospheric Signatures of Super-Earths: How to Distinguish Between Hydrogen-Rich and Hydrogen-Poor Atmospheres
- A Detailed Model Grid for Solid Planets from 0.1 through 100 Earth Masses
- Densities and Eccentricities of 139 Kepler Planets from Transit Time Variations
- Revisited Mass-Radius relations for exoplanets below 120 Earth masses
- Radius and Structure models for the First Super-Earth Planet
- The composition of Mars
- The Mass of Kepler-93b and The Composition of Terrestrial Planets
- A generalized bayesian inference method for constraining the interiors of super Earths and sub-Neptunes
- A new equation of state for dense hydrogen-helium mixtures
- The Chemical Homogeneity of Sun-like Stars in the Solar Neighborhood
- Formation of planetary systems by pebble accretion and migration: Growth of gas giants
- Evolution of the radius valley around low mass stars from and
- A reflective, metal-rich atmosphere for GJ 1214b from its JWST phase curve
- A non-grey analytical model for irradiated atmospheres. I: Derivation
- How formation time-scales affect the period dependence of the transition between rocky super-Earths and gaseous sub-Neptunes and implications for
- AQUA: A Collection of HO Equations of State for Planetary Models
- Oxygen fugacities of extrasolar rocks: Evidence for an Earth-like geochemistry of exoplanets
- Abundant refractory sulfur in protoplanetary disks
- Planetary evolution with atmospheric photoevaporation I. Analytical derivation and numerical study of the evaporation valley and transition from super-Earths to sub-Neptunes
- A new ab initio equation of state of hcp-Fe and its implication on the interior structure and mass-radius relations of rocky super-Earths
- Hot Jupiters: Origins, Structure, Atmospheres
- Mass-radius relationships for irradiated ocean planets
- A Spectroscopic Analysis of the California-Kepler Survey Sample: I. Stellar Parameters, Planetary Radii and a Slope in the Radius Gap
- A non-grey analytical model for irradiated atmospheres. II: Analytical vs. numerical solutions
- A new class of Super-Earths formed from high-temperature condensates: HD219134 b, 55 Cnc e, WASP-47 e
- Homogeneous Analysis of Hot Earths: Masses, Sizes, and Compositions
- Chemical Fingerprints of Formation in Rocky Super-Earths' Data
- JWST/NIRISS reveals the water-rich "steam world" atmosphere of GJ 9827 d
- A new equation of state for dense hydrogen-helium mixtures II: taking into account hydrogen-helium interactions
- Cassini Ring Seismology as a Probe of Saturn's Interior I: Rigid Rotation
- Phase transitions in MgSiO3 post-perovskite in super-Earth mantles
- Deflating Super-Puffs: Impact of Photochemical Hazes on the Observed Mass-Radius Relationship of Low Mass Planets
- Constraints on Super-Earths Interiors from Stellar Abundances
- The runaway greenhouse radius inflation effect - An observational diagnostic to probe water on Earth-size planets and test the Habitable Zone concept
- The Exoplanet Radius Valley from Gas-driven Planet Migration and Breaking of Resonant Chains
- Ab initio based equation of state of dense water for planetary and exoplanetary modeling
- The Pressure and Temperature Limits of Likely Rocky Exoplanets
- Thermodynamic Limits on Magnetodynamos in Rocky Exoplanets
- How planets grow by pebble accretion. III. Emergence of an interior composition gradient
- Majority of water hides deep in the interiors of exoplanets
- Evidence for a Dichotomy in the Interior Structures of Jupiter and Saturn from Helium Phase Separation
- From super-Earths to sub-Neptunes: Observational constraints and connections to theoretical models
- Characterisation of the hydrospheres of TRAPPIST-1 planets
- A fading radius valley towards M-dwarfs, a persistent density valley across stellar types
- The mass-radius relation of exoplanets, revisited
- Spin state and moment of inertia of Venus
- Most super-Earths formed by dry pebble accretion are less massive than 5 Earth masses
- Chemical Diversity of Super-Earths As a Consequence of Formation
- The Nominal Range of Rocky Planet Masses, Radii, Surface Gravities and Bulk Densities
- The Shock Physics of Giant Impacts: Key Requirements for the Equations of State
- The Galilean Satellites Formed Slowly from Pebbles
- Hints of a sulfur-rich atmosphere around the 1.6 R Super-Earth L98-59 d from JWST NIRSpec G395H transmission spectroscopy
- Physical properties of MgO at deep planetary conditions
- On the Formation and Chemical Composition of Super Earths
- Atmospheric retrievals suggest the presence of a secondary atmosphere and possible sulfur species on L 98-59 d from JWST NIRSpec G395H transmission spectroscopy
- Observational constraint on the radius and oblateness of the lunar core-mantle boundary
- Possible Internal Structures and Compositions of Proxima Centauri b
- Accounting for non-ideal mixing effects in the hydrogen-helium equation of state
- Escaping Helium and a Highly Muted Spectrum Suggest a Metal-Enriched Atmosphere on Sub-Neptune GJ3090b from JWST Transit Spectroscopy
- Shallower radius valley around low-mass hosts: Evidence for icy planets, collisions or high-energy radiation scatter
- Company for the ultra-high density, ultra-short period sub-Earth GJ 367 b: discovery of two additional low-mass planets at 11.5 and 34 days
- Unbiasing the density of TTV-characterised sub-Neptunes: Update of the mass-radius relationship of 34 Kepler planets
- Thorium in solar twins: implications for habitability in rocky planets
- Anatomy of rocky planets formed by rapid pebble accretion I. How icy pebbles determine the core fraction and FeO contents
- JWST Reveals CH, CO, and HO in a Metal-rich Miscible Atmosphere on a Two-Earth-Radius Exoplanet
- Formation of Planetary Populations I: Metallicity & Envelope Opacity Effects
- MAGRATHEA: an open-source spherical symmetric planet interior structure code
- Exoplanet Volatile Carbon Content as a Natural Pathway for Haze Formation
- A Temperature Trend for Clouds and Hazes in Exoplanets Atmospheres
- Scaling K2 VII: Evidence for a high occurrence rate of hot sub-Neptunes at intermediate ages
- Relation of Gravity, Winds, and the Moment of Inertia of Jupiter and Saturn
- Observation uncertainty effects on the precision of interior planetary parameters
- Internal water storage capacity of terrestrial planets and the effect of hydration on the M-R relation
- Planet Mass and Metallicity: The Exoplanets and Solar System Connection
- Viscosity contrasts in the Venus mantle from tidal deformations
- Thermal Evolution and magnetic history of rocky planets
- The past and future obliquity of Saturn as Titan migrates
- Sub-Neptunes Are Drier Than They Seem: Rethinking the Origins of Water-Rich Worlds
- Ultra-high pressure disordered eight-coordinated phase of MgGeO: Analogue for super-Earth mantles
- PBE-GGA Predicts the B8B2 Phase Boundary of FeO at Earth's Core Conditions
- The Interiors of Jupiter and Saturn
- Navigating stellar wobbles for imaging with the solar gravitational lens
- High-pressure order-disorder transition in MgSiO: Implications for super-Earth mineralogy
- Evolution of steam worlds: energetic aspects
- Combined Effects of Disk Winds and Turbulence-Driven Accretion on Planet Populations
- Rocky histories: The effect of high excitations on the formation of rocky planets
- Composition, Structure and Origin of the Moon
- Phase transitions and spin-state of iron in FeO at the conditions of Earth's deep interior
- Formation of Planetary Populations III: Core Composition & Atmospheric Evaporation
- Soot Planets instead of Water Worlds
- Implications of an improved water equation of state for water-rich planets
- Possible Evidence for the Presence of Volatiles on the Warm Super-Earth TOI-270 b
- Carbon-rich Sub-Neptune Interiors Are Compatible with JWST Observations
- Nonlinearity of the post-spinel transition and its expression in slabs and plumes worldwide
- Bond strengthening in dense H2O and implications to planetary composition
- TESS Planet Occurrence Rates Reveal the Disappearance of the Radius Valley Around Mid-to-Late M Dwarfs
- Super-Earth masses and stellar abundances from NIRPS reveal tentative evidence for water-rich formation around M dwarfs
- Structure and Melting of Fe, MgO, SiO2, and MgSiO3 in Planets: Database, Inversion, and Phase Diagram
- Ground-based Atmospheric Characterization of Super-Earth L 98-59 d at High Spectral Resolution
- Confirmation of the hot super-Neptune TOI-672 b with NIRPS and HARPS and Insights into the Neptunian desert around M dwarfs
- Impact of rotation on synthetic mass-radius relationships of two-layer rocky planets and water worlds