Kepler-167e as a Probe of the Formation Histories of Cold Giants with Inner Super-Earths

Abstract

The observed correlation between outer giant planets and inner super-Earths is emerging as an important constraint on planet formation theories. In this study we focus on Kepler-167, which is currently the only system known to contain both inner transiting super-Earths and a confirmed outer transiting gas giant companion beyond 1 au. Using long term radial velocity monitoring, we measure the mass of the gas giant Kepler-167e ($P=1071$ days) to be $1.01_{-0.15}^{+0.16}$ M${}_{\mathrm{J}}$, thus confirming it as a Jupiter analog. We re-fit the $Kepler$ photometry to obtain updated radii for all four planets. Using a planetary structure model, we estimate that Kepler-167e contains $66\pm 19$ M${}_{\oplus }$ of solids and is significantly enriched in metals relative to its solar-metallicity host star. We use these new constraints to explore the broader question of how systems like Kepler-167 form in the pebble accretion framework for giant planet core formation. We utilize simple disk evolution models to demonstrate that more massive and metal-rich disks, which are the most favorable sites for giant planet formation, can also deliver enough solids to the inner disk to form systems of super-Earths. We use these same models to constrain the nature of Kepler-167's protoplanetary disk, and find that it likely contained $\gtrsim 300$ M${}_{\oplus }$ of dust and was $\gtrsim 40$ au in size. These values overlap with the upper end of the observed dust mass and size distributions of Class 0 and I disks, and are also consistent with the observed occurrence rate of Jupiter analogs around sun-like stars.

arXiv commentaccepted for publication in ApJ, 19 pages, 10 figures. Table 1 will be provided in MRT format upon publication

References in corpus (130)

• The chemical composition of the Sun
• Gaia Data Release 2. Summary of the contents and survey properties
• The Astropy Project: Building an inclusive, open-science project and status of the v2.0 core package
• Measuring Reddening with SDSS Stellar Spectra and Recalibrating SFD
• Modules for Experiments in Stellar Astrophysics (MESA)
• The Transiting Exoplanet Survey Satellite
• 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
• MESA Isochrones and Stellar Tracks (MIST). I: Solar-Scaled Models
• MESA Isochrones and Stellar Tracks (MIST) 0: Methods for the construction of stellar isochrones
• Spectral Energy Distributions of T Tauri Stars With Passive Circumstellar Disks
• The California-Kepler Survey. III. A Gap in the Radius Distribution of Small Planets
• Protoplanetary Disks and Their Evolution
• Gaia Early Data Release 3: The astrometric solution
• Mind your Ps and Qs: the Interrelation between Period (P) and Mass-ratio (Q) Distributions of Binary Stars
• The false positive rate of Kepler and the occurrence of planets
• The Disk Substructures at High Angular Resolution Project (DSHARP): I. Motivation, Sample, Calibration, and Overview
• Planetary Candidates Observed by Kepler, III: Analysis of the First 16 Months of Data
• Kepler Presearch Data Conditioning II - A Bayesian Approach to Systematic Error Correction
• Fast and scalable Gaussian process modeling with applications to astronomical time series
• The Keck Planet Search: Detectability and the Minimum Mass and Orbital Period Distribution of Extrasolar Planets
• Rapid growth of gas-giant cores by pebble accretion
• A simple model for the evolution of the dust population in protoplanetary disks
• Kepler Presearch Data Conditioning I - Architecture and Algorithms for Error Correction in Kepler Light Curves
• Most 1.6 Earth-Radius Planets are not Rocky
• The evaporation valley in the Kepler planets
• Kepler-16: A Transiting Circumbinary Planet
• EXOFAST: A fast exoplanetary fitting suite in IDL
• The Mass Dependence Between Protoplanetary Disks and their Stellar Hosts
• Gas- and dust evolution in protoplanetary disks
• Overview of the Kepler Science Processing Pipeline
• The Occurrence and Mass Distribution of Close-in Super-Earths, Neptunes, and Jupiters
• Accretion Disks around Young Objects. I. The Detailed Vertical Structure
• The effect of gas drag on the growth of protoplanets -- Analytical expressions for the accretion of small bodies in laminar disks
• ALMA Survey of Lupus Protoplanetary Disks I: Dust and Gas Masses
• Growth Model Interpretation of Planet Size Distribution
• Chromospheric CaII Emission in Nearby F, G, K, and M stars
• Gaps and Rings in an ALMA Survey of Disks in the Taurus Star-forming Region
• Chromospheric Activity and Jitter Measurements for 2630 Stars on the California Planet Search
• The Transiting Circumbinary Planets Kepler-34 and Kepler-35
• The Minimum-Mass Extrasolar Nebula: In-Situ Formation of Close-In Super-Earths
• Forming the cores of giant planets from the radial pebble flux in protoplanetary discs
• Separating gas-giant and ice-giant planets by halting pebble accretion
• A torque formula for non-isothermal Type I planetary migration - I. Unsaturated horseshoe drag
• Dust and Gas in the disc of HL Tauri: Surface density, dust settling, and dust-to-gas ratio
• The Mass-Metallicity Relation for Giant Planets
• Forming Planetesimals in Solar and Extrasolar Nebulae
• The California Planet Survey I. Four New Giant Exoplanets
• The California-Kepler Survey. IV. Metal-rich Stars Host a Greater Diversity of Planets
• The Mass and Size Distribution of Planetesimals Formed by the Streaming Instability. I. The Role of Self-Gravity
• The HARPS search for southern extra-solar planets XXXIV. Occurrence, mass distribution and orbital properties of super-Earths and Neptune-mass planets
• STARRY: Analytic Occultation Light Curves
• The stickiness of micrometer-sized water-ice particles
• The VLA/ALMA Nascent Disk and Multiplicity (VANDAM) Survey of Orion Protostars. A Statistical Characterization of Class 0 and I Protostellar Disks
• The California-Kepler Survey. I. High Resolution Spectroscopy of 1305 Stars Hosting Kepler Transiting Planets
• Pebble isolation mass --- scaling law and implications for the formation of super-Earths and gas giants
• Precision Stellar Characterization of FGKM Stars using an Empirical Spectral Library
• Understanding The Effects Of Stellar Multiplicity On The Derived Planet Radii From Transit Surveys: Implications for Kepler, K2, and TESS
• A Three-Dimensional View of Turbulence: Constraints on Turbulent Motions in the HD 163296 Protoplanetary Disk using DCO${}^{+}$
• Limits on Planetary Companions from Doppler Surveys of Nearby Stars
• The Role of Multiplicity in Disk Evolution and Planet Formation
• The great dichotomy of the Solar System: small terrestrial embryos and massive giant planet cores
• Formation of planetary systems by pebble accretion and migration: How the radial pebble flux determines a terrestrial-planet or super-Earth growth mode
• Dynamics of pebbles in the vicinity of a growing planetary embryo: hydro-dynamical simulations
• Close-in planetesimal formation by pile-up of drifting pebbles
• exoplanet: Gradient-based probabilistic inference for exoplanet data & other astronomical time series
• Dust masses of young disks: constraining the initial solid reservoir for planet formation
• Radiation-Hydrodynamic Simulations of the Formation of Orion-Like Star Clusters II. The Initial Mass Function from Winds, Turbulence, and Radiation
• Planet migration and gap formation by tidally-induced shocks
• An Excess of Jupiter Analogs in Super-Earth Systems
• Four annular structures in a protostellar disk less than 500,000 years old
• The Super Earth-Cold Jupiter Relations
• A new equation of state for dense hydrogen-helium mixtures
• Formation of planetary systems by pebble accretion and migration: Growth of gas giants
• Planet heating prevents inward migration of planetary cores
• Formation of TRAPPIST-1 and other compact systems
• Analytic Planetary Transit Light Curves and Derivatives for Stars with Polynomial Limb Darkening
• The Initial Mass Function of the Orion Nebula Cluster across the H-burning limit
• Cool Jupiters greatly outnumber their toasty siblings: Occurrence rates from the Anglo-Australian Planet Search
• Connecting Giant Planet Atmosphere and Interior Modeling: Constraints on Atmospheric Metal Enrichment
• The Protostellar Luminosity Function
• Type I Planet Migration in Nearly Laminar Disks
• How much does turbulence change the pebble isolation mass for planet formation?
• How planetary growth outperforms migration
• The formation of Jupiter by hybrid pebble-planetesimal accretion
• EXOFASTv2: A public, generalized, publication-quality exoplanet modeling code
• The Anglo-Australian Planet Search XXIV: The Frequency of Jupiter Analogs
• The HARPS search for southern extra-solar planets. XVII. Super-Earth and Neptune-mass planets in multiple planet systems HD47186 and HD181433
• Catching drifting pebbles I. Enhanced pebble accretion efficiencies for eccentric planets
• The population of long-period transiting exoplanets
• Including Dust Coagulation in Hydrodynamic Models of Protoplanetary Disks: Dust Evolution in the Vicinity of a Jupiter-mass Planet
• Correlations between compositions and orbits established by the giant impact era of planet formation
• The New Generation Planetary Population Synthesis (NGPPS). III. Warm super-Earths and cold Jupiters: A weak occurrence correlation, but with a strong architecture-composition link
• The Herschel Orion Protostar Survey: Luminosity and Envelope Evolution
• HAT-P-11: Discovery of a Second Planet and a Clue to Understanding Exoplanet Obliquities
• Accretion of Uranus and Neptune from inward-migrating planetary embryos blocked by Jupiter and Saturn
• The Boundary between Gas-rich and Gas-poor Planets
• How dust fragmentation may be beneficial to planetary growth by pebble accretion
• Planet Hunters. VIII. Characterization of 41 Long-Period Exoplanet Candidates from Kepler Archival Data
• On the growth of pebble-accreting planetesimals
• Predicting Exoplanets Mass and Radius: A Nonparametric Approach
• Mass-Radius relationship for M dwarf exoplanets: Comparing nonparametric and parametric methods
• Protostellar collapse: the conditions to form dust rich protoplanetary disks
• Most super-Earths formed by dry pebble accretion are less massive than 5 Earth masses
• A Balanced Budget View on Forming Giant Planets by Pebble Accretion
• Protoplanetary disk birth in massive star forming clumps: the essential role of the magnetic field
• Transiting Planet Candidates Beyond the Snow Line Detected by Visual Inspection of 7557 Kepler Objects of Interest
• Exploring the conditions for forming cold gas giants through planetesimal accretion
• A Transiting Jupiter Analog
• Exploring the realm of scaled Solar System analogs with HARPS
• Long-Period Giant Companions to Three Compact, Multiplanet Systems
• Mutual Orbital Inclinations Between Cold Jupiters and Inner Super-Earths
• The Lick-Carnegie Exoplanet Survey: HD32963 -- A New Jupiter Analog Orbiting a Sun-like Star
• Revisiting the Long-Period Transiting Planets from Kepler
• Dust evolution and satellitesimal formation in circumplanetary disks
• The influence of infall on the properties of protoplanetary discs
• Spitzer Detection of the Transiting Jupiter-analog Exoplanet Kepler-167e
• Transiting Planets near the Snow Line from Kepler. I. Catalog
• Constraining the parameter space for the Solar Nebula
• No Timing Variations Observed in Third Transit of Snow-Line Exoplanet Kepler-421b
• CKS IX: Revisiting the Minimum-Mass Extrasolar Nebula with Precise Stellar Parameters
• An extremely low-density and temperate giant exoplanet
• Giant Outer Transiting Exoplanet Mass (GOT 'EM) Survey. I. Confirmation of an Eccentric, Cool Jupiter With an Interior Earth-sized Planet Orbiting Kepler-1514
• Giant Outer Transiting Exoplanet Mass (GOT 'EM) Survey. II. Discovery of a Failed Hot Jupiter on a 2.7 Year, Highly Eccentric Orbit
• Using HARPS-N to characterise the long-period planets in the PH-2 and Kepler-103 systems
• Multiple Explanations for the Single Transit of KIC 5951458 based on Radial Velocity Measurements Extracted with a Novel Matched-template Technique
• The California Legacy Survey II. Occurrence of Giant Planets Beyond the Ice line
• Predicting exoplanet mass from radius and incident flux: A Bayesian mixture model
• The California Legacy Survey I. A Catalog of 178 Planets from Precision Radial Velocity Monitoring of 719 Nearby Stars over Three Decades
• Protoplanetary disk formation from the collapse of a prestellar core

Cited by in corpus (14)

• Giants are bullies: how their growth influences systems of inner sub-Neptunes and super-Earths
• Small Planets Around Cool Dwarfs: Enhanced Formation Efficiency of Super-Earths around M dwarfs
• Edge-of-the-Multis: Evidence for a Transition in the Outer Architectures of Compact Multi-Planet Systems
• Three long period transiting giant planets from TESS
• Establishing Dust Rings and Forming Planets Within Them
• Constraining the Densities of the Three Kepler-289 Planets with Transit Timing Variations
• Jupiter-like uniform metal enrichment in a system of multiple giant exoplanets
• A 16 Hour Transit of Kepler-167 e Observed by the Ground-based Unistellar Telescope Network
• Detecting Planetary Oblateness in the Era of JWST: A Case Study of Kepler-167e
• Unraveling the origin of giant exoplanets: Observational implications of convective mixing
• An extremely low-density exoplanet spins slow
• Evaporation before disruption: comparing timescales for Jovian planets in star-forming regions
• Parameter estimation from the transit light curve including gravitational lensing effects
• The California Legacy Survey III. On The Shoulders of (Some) Giants: The Relationship between Inner Small Planets and Outer Massive Planets