The Mass Budgets and Spatial Scales of Exoplanet Systems and Protoplanetary Disks

Abstract

Planets are born from disks of gas and dust, and observations of protoplanetary disks are used to constrain the initial conditions of planet formation. However, dust mass measurements of Class II disks with ALMA have called into question whether they contain enough solids to build the exoplanets that have been detected to date. In this paper, we calculate the mass and spatial scale of solid material around Sun-like stars probed by transit and radial velocity exoplanet surveys, and compare those to the observed dust masses and sizes of Class II disks in the same stellar mass regime. We show that the apparent mass discrepancy disappears when accounting for observational selection and detection biases. We find a discrepancy only when the planet formation efficiency is below 100%, or if there is a population of undetected exoplanets that significantly contributes to the mass in solids. We identify a positive correlation between the masses of planetary systems and their respective orbital periods, which is consistent with the trend between the masses and the outer radii of Class II dust disks. This implies that, despite a factor 100 difference in spatial scale, the properties of protoplanetary disks seem to be imprinted on the exoplanet population.

arXiv commentAccepted for Publication in ApJ

References in corpus (87)

• SciPy 1.0--Fundamental Algorithms for Scientific Computing in Python
• Array Programming with NumPy
• The Astropy Project: Building an inclusive, open-science project and status of the v2.0 core package
• Disk Frequencies and Lifetimes in Young Clusters
• Planet Occurrence within 0.25 AU of Solar-type Stars from Kepler
• SparsePak: A Formatted Fiber Field Unit for The WIYN Telescope Bench Spectrograph. I. Design, Construction, and Calibration
• The false positive rate of Kepler and the occurrence of planets
• The Keck Planet Search: Detectability and the Minimum Mass and Orbital Period Distribution of Extrasolar Planets
• Circumstellar Dust Disks in Taurus-Auriga: The Submillimeter Perspective
• Prevalence of Earth-size planets orbiting Sun-like stars
• Architecture and Dynamics of Kepler's Candidate Multiple Transiting Planet Systems
• The Mass Dependence Between Protoplanetary Disks and their Stellar Hosts
• Giant Planet Occurrence in the Stellar Mass-Metallicity Plane
• The Occurrence and Mass Distribution of Close-in Super-Earths, Neptunes, and Jupiters
• Probabilistic Forecasting of the Masses and Radii of Other Worlds
• ALMA Survey of Lupus Protoplanetary Disks I: Dust and Gas Masses
• One or more bound planets per Milky Way star from microlensing observations
• The Gemini Planet Imager Exoplanet Survey: Giant Planet and Brown Dwarf Demographics From 10-100 AU
• X-Shooter spectroscopy of young stellar objects in Lupus: Accretion properties of class II and transitional objects
• The Minimum-Mass Extrasolar Nebula: In-Situ Formation of Close-In Super-Earths
• A Steeper than Linear Disk Mass-Stellar Mass Scaling Relation
• The Mass-Metallicity Relation for Giant Planets
• Planetary Candidates Observed by Kepler. VIII. A Fully Automated Catalog With Measured Completeness and Reliability Based on Data Release 25
• The Disk Population of the Taurus Star-Forming Region
• The Disk Substructures at High Angular Resolution Project (DSHARP): V. Interpreting ALMA maps of protoplanetary disks in terms of a dust model
• ALMA Survey of Lupus Protoplanetary Disks II: Gas Disk Radii
• The California-Kepler Survey. IV. Metal-rich Stars Host a Greater Diversity of Planets
• The HARPS search for southern extra-solar planets XXXIV. Occurrence, mass distribution and orbital properties of super-Earths and Neptune-mass planets
• An ALMA Survey of Protoplanetary Disks in the $\sigma$ Orionis Cluster
• The VLA/ALMA Nascent Disk and Multiplicity (VANDAM) Survey of Orion Protostars. A Statistical Characterization of Class 0 and I Protostellar Disks
• Revised Radii of Kepler Stars and Planets Using Gaia Data Release 2
• A stellar-mass-dependent drop in planet occurrence rates
• ALMA Observations of Circumstellar Disks in the Upper Scorpius OB Association
• Asteroseismology and Gaia: Testing Scaling Relations Using 2200 Kepler Stars with TGAS Parallaxes
• The Exoplanet Mass-Ratio Function from the MOA-II Survey: Discovery of a Break and Likely Peak at a Neptune Mass
• Predictions of the WFIRST Microlensing Survey I: Bound Planet Detection Rates
• SOPHIE velocimetry of Kepler transit candidates XVII. The physical properties of giant exoplanets within 400 days of period
• Hints for a Turnover at the Snow Line in the Giant Planet Occurrence Rate
• About 30% of Sun-like Stars Have Kepler-like Planetary Systems: A Study of their Intrinsic Architecture
• Compact Disks in a High Resolution ALMA Survey of Dust Structures in the Taurus Molecular Cloud
• The Exoplanet Population Observation Simulator. I - The Inner Edges of Planetary Systems
• The Disk Population of the Upper Scorpius Association
• The SPHERE infrared survey for exoplanets (SHINE). III. The demographics of young giant exoplanets below 300 au with SPHERE
• The Ophiuchus DIsc Survey Employing ALMA (ODISEA) - I : project description and continuum images at 28 au resolution
• Why do protoplanetary disks appear not massive enough to form the known exoplanet population?
• An Increase in the Mass of Planetary Systems around Lower-Mass Stars
• DUst Around NEarby Stars. The survey observational results
• The Exoplanet Census: A General Method, Applied to Kepler
• A Millimeter Continuum Size-Luminosity Relationship for Protoplanetary Disks
• One Solution to the Mass Budget Problem for Planet Formation: Optically Thick Disks with Dust Scattering
• Dust masses of young disks: constraining the initial solid reservoir for planet formation
• X-Shooter study of accretion in Chamaeleon I: II. A steeper increase of accretion with stellar mass for very low mass stars?
• The statistics of multi-planet systems
• The VLA Nascent Disk And Multiplicity Survey of Perseus Protostars (VANDAM). IV. Free-Free Emission from Protostars: Links to Infrared Properties, Outflow Tracers, and Protostellar Disk Masses
• Statistics of Long Period Gas Giant Planets in Known Planetary Systems
• Scaling Relations Associated with Millimeter Continuum Sizes in Protoplanetary Disks
• Fast Rise of "Neptune-Size" Planets ($4-8R_{\mathrm{Earth}}$) from $P\sim 10$ to $\sim 250$ days -- Statistics of Kepler Planet Candidates Up to $\sim 0.75\mathrm{AU}$
• Architectures of Exoplanetary Systems. I: A Clustered Forward Model for Exoplanetary Systems around Kepler's FGK Stars
• SONS: The JCMT legacy survey of debris discs in the submillimetre
• The evolution of dust-disk sizes from a homogeneous analysis of 1-10 Myr-old stars
• Analysis of the Herschel DEBRIS Sun-like star sample
• A Spectroscopic Analysis of the California-Kepler Survey Sample: I. Stellar Parameters, Planetary Radii and a Slope in the Radius Gap
• The Mass Budget of Planet Forming Discs: Isolating the Epoch of Planetesimal Formation
• A stellar mass dependence of structured disks: a possible link with exoplanet demographics
• Debris Disks in the Upper Scorpius OB Association
• Microlensing Results Challenge the Core Accretion Runaway Growth Scenario for Gas Giants
• Accounting for Incompleteness due to Transit Multiplicity in Kepler Planet Occurrence Rates
• The Disk Fractions of Brown Dwarfs in IC 348 and Chamaeleon I
• Constraints from Dust Mass and Mass Accretion Rate Measurements on Angular Momentum Transport in Protoplanetary Disks
• Are debris disks self-stirred?
• Solution to the debris disc mass problem: planetesimals are born small?
• Variations on Debris Disks II. Icy Planet Formation as a Function of the Bulk Properties and Initial Sizes of Planetesimals
• Occurrence and Architecture of Kepler Planetary Systems as Functions of Stellar Mass and Effective Temperature
• Have proto-planetary discs formed planets?
• Hints on the origins of particle traps in protoplanetary disks given by the $M_{\mathrm{dust}}-M_{\star }$ relation
• A Minimum-Mass Extrasolar Nebula
• Measuring the ratio of the gas and dust emission radii of protoplanetary disks in the Lupus star-forming region
• On the Mass Function, Multiplicity, and Origins of Wide-Orbit Giant Planets
• Protoplanetary Disk Masses from Radiative Transfer Modeling: A Case Study in Taurus
• The Exoplanet Population Observation Simulator. II -- Population Synthesis in the Era of Kepler
• The multiplicity distribution of Kepler's exoplanets
• ALMA Survey of Lupus Class III Stars: Early Planetesimal Belt Formation and Rapid Disk Dispersal
• Dust clearing by radial drift in evolving protoplanetary discs
• A Minimum Mass Nebula for M Dwarfs
• No significant correlation between radial velocity planet presence and debris disc properties
• An ALMA Survey of faint disks in the Chamaeleon I star-forming region: Why are some Class II disks so faint?
• Exoplanet Populations and their Dependence on Host Star Properties

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• On the underestimation of dust mass in protoplanetary disks: Effects of disk structure and dust properties
• Measuring the Dust Masses of Protoplanetary Disks in Lupus with ALMA: Evidence that Disks can be Optically Thick at 3 mm
• Determining Dust Properties in Protoplanetary Disks: SED-derived Masses and Settling With ALMA
• A framework for the architecture of exoplanetary systems. II. Nature versus nurture: Emergent formation pathways of architecture classes
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