Planetary Radii across Five Orders of Magnitude in Mass and Stellar Insolation: Application to Transits
arXiv:astro-ph/0612671 · doi:10.1086/512120
Abstract
To aid in the physical interpretation of planetary radii constrained through observations of transiting planets, or eventually direct detections, we compute model radii of pure hydrogen-helium, water, rock, and iron planets, along with various mixtures. Masses ranging from 0.01 Earth masses to 10 Jupiter masses at orbital distances of 0.02 to 10 AU are considered. For hydrogen-helium rich planets, our models are the first to couple planetary evolution to stellar irradiation over a wide range of orbital separations (0.02 to 10 AU) through a non-gray radiative-convective equilibrium atmosphere model. Stellar irradiation retards the contraction of giant planets, but its effect is not a simple function of the irradiation level: a planet at 1 AU contracts as slowly as a planet at 0.1 AU. For hydrogen-helium planets, we consider cores up to 90% of the total planet mass, comparable to those of Uranus and Neptune. If "hot Neptunes" have maintained their original masses and are not remnants of more massive planets, radii of 0.30-0.45 times Jupiter's radius are expected. Water planets are ~40-50% larger than rocky planets, independent of mass. Finally, we provide tables of planetary radii at various ages and compositions, and for ice-rock-iron planets we fit our results to analytic functions, which will allow for quick composition estimates, given masses and radii, or mass estimates, given only planetary radii. These results will assist in the interpretation of observations for both the current transiting planet surveys as well as upcoming space missions, including CoRoT and Kepler.
Published in The Astrophysical Journal 2007 April. This revision corrects coefficient errors in equations 7 and 8. Erratum sent to ApJ
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- Cluster Difference Imaging Photometric Survey. II. TOI 837: A Young Validated Planet in IC 2602
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- HAT-P-15b: A 10.9-day Extrasolar Planet Transiting a Solar-type Star
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- Predicted diversity in water content of terrestrial exoplanets orbiting M dwarfs
- The mass-radius relation of exoplanets, revisited
- Ensemble analysis of open cluster transit surveys: upper limits on the frequency of short-period planets consistent with the field
- The low density transiting exoplanet WASP-15b
- Physical properties and radius variations in the HAT-P-5 planetary system from simultaneous four-colour photometry
- Bulk composition of the transiting hot Neptune around GJ 436
- Interior characterization in multiplanetary systems: TRAPPIST-1
- High-precision photometry by telescope defocussing. III. The transiting planetary system WASP-2
- Precise Estimates of the Physical Parameters for the Exoplanet System HD-17156 Enabled by HST FGS Transit and Asteroseismic Observations
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- HATS-9b and HATS-10b: Two Compact Hot Jupiters in Field 7 of the K2 Mission
- The Transit Light Curve Project. XII. Six Transits of the Exoplanet XO-2b
- The HD 40307 Planetary System: Super-Earths or Mini-Neptunes?
- Kepler423b: a half-Jupiter mass planet transiting a very old solar-like star
- The Transit Light Curve Project. X. A Christmas Transit of HD 17156b
- On the Eccentricity Distribution of Short-Period Single-Planet Systems
- WASP-38b: A Transiting Exoplanet in an Eccentric, 6.87d Period Orbit
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- Detailed Abundances of Stars with Small Planets Discovered by Kepler I: The First Sample
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- TOI-3714 b and TOI-3629 b: Two gas giants transiting M dwarfs confirmed with HPF and NEID
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- Plasma physics and planetary astrophysics
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- The Hunt for Planet Nine: Atmosphere, Spectra, Evolution, and Detectability
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- Re-inflation of warm and hot Jupiters
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- The MUSCLES Extension for Atmospheric and Transmission Spectroscopy: UV and X-ray Host-star Observations for JWST ERS & GTO Targets
- Physical properties of the WASP-44 planetary system from simultaneous multi-colour photometry
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- EPIC247098361b: a transiting warm Saturn on an eccentric days orbit around a star
- Qatar Exoplanet Survey : Qatar-3b, Qatar-4b and Qatar-5b
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- Models of Warm Jupiter Atmospheres: Observable Signatures of Obliquity
- Improved parameters for the transiting planet HD 17156b: a high-density giant planet with a very eccentric orbit
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- The Effect of Multiple Heat Sources on Exomoon Habitable Zones
- Refined physical properties and g',r',i',z',J,H,K transmission spectrum of WASP-23b from the ground
- HAT-P-56b: An inflated massive Hot Jupiter transiting a bright F star followed up with K2 Campaign 0 observations
- WASP-54b, WASP-56b and WASP-57b: Three new sub-Jupiter mass planets from SuperWASP
- MAGRATHEA: an open-source spherical symmetric planet interior structure code
- Monitoring the young planet host V1298 Tau with SPIRou: planetary system and evolving large-scale magnetic field
- On the structure and evolution of planets and their host stars effects of various heating mechanisms on the size of giant gas planets
- Towards a new era in giant exoplanet characterisation
- A comparative study of WASP-67b and HAT-P-38b from WFC3 data
- Detectability of Exoplanet Periastron Passage in the Infra-Red
- Information in the Reflected Light Spectra of Widely Separated Giant Exoplanets
- Transiting exoplanets from the CoRoT space mission XXV. CoRoT-27b: a massive and dense planet on a short-period orbit
- Beyond the exoplanet mass-radius relation
- Kepler-432 b: a massive warm Jupiter in a 52-day eccentric orbit transiting a giant star
- Photo-evaporation of close-in gas giants orbiting around G and M stars
- Impact of photoevaporative mass loss on masses and radii of water-rich sub/super-Earths
- TOI-3984 A b and TOI-5293 A b: two temperate gas giants transiting mid-M dwarfs in wide binary systems
- The Effect of Clouds as an Additional Opacity Source on the Inferred Metallicity of Giant Exoplanets
- K2-114b and K2-115b: Two Transiting Warm Jupiters
- The first planet detected in the WTS: an inflated hot-Jupiter in a 3.35 day orbit around a late F-star
- The mass determination of TOI-519 b: a close-in giant planet transiting a metal-rich mid-M dwarf
- Discovery of WASP-113b and WASP-114b, two inflated hot-Jupiters with contrasting densities
- The Magellan/PFS Exoplanet Search: A 55-day period dense Neptune transiting the bright () star HD 95338
- Exploring HO Prominence in Reflection Spectra of Cool Giant Planets
- TOI-1728b: The Habitable-zone Planet Finder confirms a warm super Neptune orbiting an M dwarf host
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- On the Nature of Small Planets around the Coolest Kepler Stars
- K2-140b and K2-180b - Characterization of a hot Jupiter and a mini-Neptune from the K2 mission
- Instability of mass transfer in a planet-star system
- Three long period transiting giant planets from TESS
- Physical properties of the planetary systems WASP-45 and WASP-46 from simultaneous multi-band photometry
- When, where, and how many planets end up in first-order resonances?
- Modeling the Orbital Sampling Effect of Extrasolar Moons
- Discovery of WASP-65b and WASP-75b: Two Hot Jupiters Without Highly Inflated Radii
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- K2-265 b: A Transiting Rocky Super-Earth
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- GASTLI: An open-source coupled interior-atmosphere model to unveil gas giant composition
- K2-139 b: a low-mass warm Jupiter on a 29-day orbit transiting an active K0 V star
- Exploring formation scenarios for the exomoon candidate Kepler 1625b I
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- CEMP stars: possible hosts to carbon planets in the early universe
- Dust traps as planetary birthsites: basics and vortex formation
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- HATS-31b Through HATS-35b: Five Transiting Hot Jupiters Discovered by the HATSouth Survey
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- Three planets transiting the evolved star EPIC 249893012: a hot 8.8-M super-Earth and two warm 14.7 and 10.2-M sub-Neptunes
- TOI-2046b, TOI-1181b and TOI-1516b, three new hot Jupiters from \textit{TESS}: planets orbiting a young star, a subgiant and a normal star
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- Two warm, low-density sub-Jovian planets orbiting bright stars in K2 campaigns 13 and 14
- HATS-43b, HATS-44b, HATS-45b, and HATS-46b: Four Short Period Transiting Giant Planets in the Neptune-Jupiter Mass Range
- HAT-P-42b and HAT-P-43b. Two Inflated Transiting Hot Jupiters from the HATNet Survey
- HATS-22b, HATS-23b and HATS-24b: Three new transiting Super-Jupiters from the HATSouth Project
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- Radio Emission from Red-Giant Hot Jupiters
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- TOI-1268b: the youngest, hot, Saturn-mass transiting exoplanet
- Follow-up Observations of the Neptune Mass Transiting Extrasolar Planet HAT-P-11b
- Physical Properties of the Transiting Planetary System TrES-3
- ELODIE metallicity-biased search for transiting Hot Jupiters V. An intermediate-period Jovian planet orbiting HD45652
- Hydrodynamics and survivability during post-main-sequence planetary engulfment
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- Constraining Exoplanet Metallicities and Aerosols with ARIEL: An Independent Study by the Contribution to ARIEL Spectroscopy of Exoplanets (CASE) Team
- The three regimes of atmospheric evaporation for super-Earths and sub-Neptunes
- K2-287b: an Eccentric Warm Saturn transiting a G-dwarf
- On the Inclination and Habitability of the HD 10180 System
- WASP-14 b: Transit Timing analysis of 19 light curves
- K2-291 b: A rocky super-Earth in a 2.2 day orbit
- Giant Outer Transiting Exoplanet Mass (GOT 'EM) Survey. I. Confirmation of an Eccentric, Cool Jupiter With an Interior Earth-sized Planet Orbiting Kepler-1514
- TOI-1842b: A Transiting Warm Saturn Undergoing Re-Inflation around an Evolving Subgiant
- Impact of Tides on the Potential for Exoplanets to Host Exomoons
- EPIC229426032 b and EPIC246067459 b: discovery and characterization of two new transiting hot Jupiters from K2
- HATS-13b and HATS-14b: two transiting hot Jupiters from the HATSouth survey
- An investigation of a super-Earth exoplanet with a greenhouse-gas atmosphere using a general circulation model
- Improved Orbital Parameters and Transit Monitoring for HD 156846b
- Stability Constrained Characterization of Multiplanet Systems
- Optimal Measures for Characterizing Water-rich Super-Earths
- Analysis of new high-precision transit light curves of WASP-10 b: starspot occultations, small planetary radius, and high metallicity
- An intermediate-luminosity-optical-transient (ILOT) model for the young stellar object ASASSN-15qi
- The Exosphere as a Boundary: Origin and Evolution of Airless Bodies in the Inner Solar System and Beyond Including Planets with Silicate Atmospheres
- HATS-39b, HATS-40b, HATS-41b, and HATS-42b: Three Inflated Hot Jupiters and a Super-Jupiter Transiting F Stars
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- HATS-50b through HATS-53b: four transiting hot Jupiters orbiting G-type stars discovered by the HATSouth survey
- Giant Outer Transiting Exoplanet Mass (GOT 'EM) Survey: III. Recovery and Confirmation of a Temperate, Mildly Eccentric, Single-Transit Jupiter Orbiting TOI-2010
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- HAT-P-58b -- HAT-P-64b: Seven Planets Transiting Bright Stars
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- Simulating Reflected Light Exoplanet Spectra of the Promising Direct Imaging Target, Andromedae d, with a New, Fast Sampling Method Using the Planetary Spectrum Generator
- NGTS 15b, 16b, 17b and 18b: four hot Jupiters from the Next Generation Transit Survey
- TESS Giants Transiting Giants V -- Two hot Jupiters orbiting red-giant hosts
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- Simulations of starspot anomalies within TESS exoplanetary transit light curves -- I. The detection limits of starspot anomalies in TESS light curves
- A New Definition of Exoplanet Habitability: Introducing the Photosynthetic Habitable Zone
- Monitoring of transiting exoplanets and their host stars with small aperture telescopes
- The influence of general-relativity effects, dynamical tides and collisions on planet-planet scattering close to the star
- A Holistic and Probabilistic Approach to the Ground-based Data of HAT-P-19 System
- Warm Jupiters Beyond the Tidal Synchronization Limit May Exhibit a Wide Range of Secondary Eclipse Depths
- Constraining the Bulk Composition of Disintegrating Exoplanets Using Combined Transmission Spectra from JWST and SPICA
- Formation of Giant Planets
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- Three Warm Jupiters orbiting TOI-6628, TOI-3837, TOI-5027 and one sub-Saturn orbiting TOI-2328
- TOI-837 b: characterisation, formation and evolutionary history of an infant warm Saturn-mass planet
- XUV irradiation of young planetary atmospheres. Results from a joint XMM-Newton and HST observation of HIP67522
- The highly inflated giant planet WASP-174b
- K2-280b -- a low density warm sub-Saturn around a mildly evolved star
- Transit least-squares survey -- III. A transit candidate in the habitable zone of Kepler-160 and a nontransiting planet characterized by transit-timing variations
- Microphysical Prescriptions for Parameterized Water Cloud Formation on Ultra-cool Substellar Objects
- An Approximation for the Capture Radius of Gaseous Protoplanets
- The GAPS programme at TNG LXIV: An inner eccentric sub-Neptune and an outer sub-Neptune-mass candidate around BD+00 444 (TOI-2443)
- Why hot Jupiters can be large but not too large
- Two transiting hot Jupiters from the WASP survey: WASP-150b and WASP-176b
- SOPHIE velocimetry of Kepler transit candidates. XIX. The transiting temperate giant planet KOI-3680b
- PICASO 4.0: Clouds and Photochemistry in Climate Models of Brown Dwarfs and Exoplanets
- The discovery of three hot Jupiters, NGTS-23b, 24b and 25b, and updated parameters for HATS-54b from the Next Generation Transit Survey
- Possible Evidence for the Presence of Volatiles on the Warm Super-Earth TOI-270 b
- HATS-59b,c: A Transiting Hot Jupiter and a Cold Massive Giant Planet Around a Sun-Like Star
- Terrestrial Planet Formation in Extra-Solar Planetary Systems
- HATS-15 b and HATS-16 b: Two massive planets transiting old G dwarf stars
- Formation of super-Earths and mini-Neptunes from rings of planetesimals
- The inflated, eccentric warm Jupiter TOI-4914 b orbiting a metal-poor star, and the hot Jupiters TOI-2714 b and TOI-2981 b
- Updated Studies on Exomoons in the HD 23079 System
- A fuzzy Multi-Criteria Decision Making approach for Exo-Planetary Habitability
- GEMS JWST: Transmission spectroscopy of TOI-5205b reveals significant stellar contamination and a metal-poor atmosphere
- Simulations of starspot anomalies within TESS exoplanetary transit light curves -- II
- An extended low-density atmosphere around the Jupiter-sized planet WASP-193 b
- NGTS-21b: An Inflated Super-Jupiter Orbiting a Metal-poor K dwarf
- The "Drake equation" of exomoons -- a cascade of formation, stability and detection
- Inflated hot Jupiters: Inferring average atmospheric velocity via Ohmic models coupled with internal dynamo evolution
- Discovery and characterization of a dense sub-Saturn TOI-6651b
- The GAPS Programme at TNG. LXV. Precise density measurement of TOI-1430 b, a young planet with an evaporating atmosphere
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- Lessons from Hubble and Spitzer: 1D Self-Consistent Model Grids for 19 Hot Jupiter Emission Spectra
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- Following up TESS Single Transits With Archival Photometry and Radial Velocities
- Giant Outer Transiting Exoplanet Mass (GOT 'EM) Survey. VI: Confirmation of a Long-Period Giant Planet Discovered with a Single TESS Transit
- Tidal evolution in multiple planet systems: application to Kepler-62 and Kepler-186
- Galactic planetary science
- TOI-3568 b: a super-Neptune in the sub-Jovian desert
- TOI-1199 b and TOI-1273 b: Two new transiting hot Saturns detected and characterized with SOPHIE and TESS
- Chemical evolution of an evaporating lava pool
- Estimation of the tidal heating in the TRAPPIST-1 planets. Influence of the internal structure
- The GAPS Programme at TNG. LIX. A characterisation study of the 300 Myr old multi-planetary system orbiting the star BD+40 2790 (TOI-2076)
- gaspery: Optimized Scheduling of Radial Velocity Follow-Up Observations for Active Host Stars
- Understanding exoplanet formation, structure and evolution in 2010
- The Dynamics of Co-orbital Giant Exomoons -- Applications for the Kepler-1625 b and Kepler-1708 b Satellite Systems
- Accretion of Planetary Material onto Host Stars
- Null transit detections of 68 radial velocity exoplanets observed by TESS
- RAPOC : the Rosseland and Planck opacity converter. A user-friendly and fast opacity program for Python
- On the parameter refinement of inflated exoplanets with large radius uncertainty based on TESS observations
- Spitzer phase curve observations and circulation models of the inflated ultra-hot Jupiter WASP-76b
- A new statistical method for characterizing the atmospheres of extrasolar planets
- BD-14 3065b (TOI-4987b): from giant planet to brown dwarf: evidence for deuterium burning in old age?
- Flows, Circulations, and Energy Transport in the Outer and Deep Atmospheres of Synchronous and Non-synchronous Hot Jupiters
- Possible formation pathways for the low density Neptune-mass planet HAT-P-26b
- On the Utility of Transmission Color Analysis I: Differentiating Super-Earths and Sub-Neptunes
- Characterizing Exoplanets for Assessing Their Potential Habitability
- Cloudy solutions for the clear skies of WASP-80b: 3D cloud feedback on the atmosphere and spectra of a warm Jupiter
- Impact of rotation on synthetic mass-radius relationships of two-layer rocky planets and water worlds
- Confirmation of the hot super-Neptune TOI-672 b with NIRPS and HARPS and Insights into the Neptunian desert around M dwarfs
- KOI-3158: The oldest known system of terrestrial-size planets
- How does the shape of the stellar spectrum affect the Raman scattering features in the albedo of exoplanets?
- A Validated Low-to-Intermediate Mass Planetary Interior Structure Model and New Mass-Radius Relations
- Horizontal transport as a source of disequilibrium chemistry on the nightside of a hot exoplanet
- Twinkle Twinkle Little Star, Roman Sees Where You Are: Predicting Exoplanet Transit Yields in the Rosette Nebula with the Nancy Grace Roman Space Telescope
- Grain Growth in Escaping Atmospheres: Implications for the Radius Inflation of Super-Puffs
- Rapid and Predictive Planet Population Synthesis Model (RAPPS) I. Upgraded model and resulting synthetic populations
- A planet-host ratio relation to synthesize microlensing and transiting exoplanet demography from Roman
- A sub-Saturn Mass-Radius Desert for Planets with Equilibrium Temperature Less than 600 K
- Hidden water in magma ocean exoplanets
- Detecting water ice and vapor disks originating from icy planetary bodies around white dwarfs with future PRIMA observations
- A Warm Massive Pair of Planets around TOI-1232 Revealed with Transit-timing Variations and Doppler Spectroscopy
- Impact of Clouds on the Atmosphere-Mantle Interface of Sub-Neptunes
- TOI-3757 b: A low density gas giant orbiting a solar-metallicity M dwarf
- Searching for GEMS: Three warm Saturns and a super-Jupiter orbiting four early M-dwarfs
- The GAPS Programme at the TNG: LXX. TOI-5734b: A hot sub-Neptune orbiting a relatively young K dwarf with an Earth-like density
- Using observations of escaping H/He to constrain the atmospheric composition of sub-Neptunes