Occurrence Rates of Planets orbiting FGK Stars: Combining Kepler DR25, Gaia DR2 and Bayesian Inference

Abstract

We characterize the occurrence rate of planets, ranging in size from 0.5-16 R${}_{\oplus }$, orbiting FGK stars with orbital periods from 0.5-500 days. Our analysis is based on results from the "DR25" catalog of planet candidates produced by NASA's Kepler mission and stellar radii from Gaia "DR2". We incorporate additional Kepler data products to accurately characterize the efficiency of planets being recognized as a "threshold crossing events" (TCE) by Kepler's Transiting Planet Search pipeline and labeled as a planet candidate by the robovetter. Using a hierarchical Bayesian model, we derive planet occurrence rates for a wide range of planet sizes and orbital periods. For planets with sizes $0.75-1.5$ R${}_{\oplus }$ and orbital periods of 237-500 days, we find a rate of planets per FGK star of $<0.27$ ($84.13$th percentile). While the true rate of such planets could be lower by a factor of $\sim 2$ (primarily due to potential contamination of planet candidates by false alarms), the upper limits on the occurrence rate of such planets are robust to $\sim 10\%$. We recommend that mission concepts aiming to characterize potentially rocky planets in or near the habitable zone of sun-like stars prepare compelling science programs that would be robust for a true rate in the range $f_{R,P}=$ $0.03-0.40$ for $0.75-1.5$ R${}_{\oplus }$ planets with orbital periods in 237-500 days, or a differential rate of ${\Gamma }_{\oplus }\equiv (d^{2}f)/[d(\ln P)d(\ln R_p)]=$ $0.06-0.76$.

arXiv commentPublished in AJ; 28 pages, 6 figures, 4 tables

References in corpus (29)

• Gaia Data Release 2. Summary of the contents and survey properties
• Analytic Lightcurves for Planetary Transit Searches
• The California-Kepler Survey. III. A Gap in the Radius Distribution of Small Planets
• Prevalence of Earth-size planets orbiting Sun-like stars
• The evaporation valley in the Kepler planets
• Understanding the Mass-Radius Relation for Sub-Neptunes: Radius as a Proxy for Composition
• Adaptive approximate Bayesian computation
• An asteroseismic view of the radius valley: stripped cores, not born rocky
• Gaia Data Release 2: first stellar parameters from Apsis
• Planetary Candidates Observed by Kepler. VIII. A Fully Automated Catalog With Measured Completeness and Reliability Based on Data Release 25
• Sculpting the Valley in the Radius Distribution of Small Exoplanets as a by-product of Planet Formation: The Core-Powered Mass-Loss Mechanism
• Terrestrial Planet Occurrence Rates for the Kepler GK Dwarf Sample
• Revised Radii of Kepler Stars and Planets Using Gaia Data Release 2
• Exoplanet population inference and the abundance of Earth analogs from noisy, incomplete catalogs
• The Exoplanet Population Observation Simulator. I - The Inner Edges of Planetary Systems
• The Exoplanet Census: A General Method, Applied to Kepler
• Discovery and Validation of Kepler-452b: A 1.6-Re Super Earth Exoplanet in the Habitable Zone of a G2 Star
• 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 $\sim 0.75\mathrm{AU}$
• Investigations of approximate expressions for the transit duration
• Measuring Transit Signal Recovery in the Kepler Pipeline II: Detection Efficiency as Calculated in One Year of Data
• Accounting for Incompleteness due to Transit Multiplicity in Kepler Planet Occurrence Rates
• Detection of Potential Transit Signals in 17 Quarters of Kepler Data: Results of the Final Kepler Mission Transiting Planet Search (DR25)
• Improving the Accuracy of Planet Occurrence Rates from Kepler using Approximate Bayesian Computation
• Assessing the Effect of Stellar Companions from High-Resolution Imaging of Kepler Objects of Interest
• Transit Light Curves with Finite Integration Time: Fisher Information Analysis
• Efficient Geometric Probabilities of Multi-Transiting Exoplanetary Systems from CORBITS
• The Effects of Stellar Companions on Exoplanet Radius Distributions
• Kepler's Earth-like Planets Should Not Be Confirmed Without Independent Detection: The Case of Kepler-452b
• Re-Evaluating Small Long-Period Confirmed Planets From Kepler

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• Architectures of Exoplanetary Systems. III: Eccentricity and Mutual Inclination Distributions of AMD-stable Planetary Systems
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• On the patterns observed in Kepler multi-planet systems
• Scaling K2. VI. Reduced Small Planet Occurrence in High Galactic Amplitude Stars
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• Architectures of Exoplanetary Systems. II: An Increase in Inner Planetary System Occurrence Toward Later Spectral Types for Kepler's FGK Dwarfs
• MRI-active inner regions of protoplanetary discs. I. A detailed model of disc structure
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• The Demographics of Kepler's Earths and super-Earths into the Habitable Zone
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• TOI-1728b: The Habitable-zone Planet Finder confirms a warm super Neptune orbiting an M dwarf host
• Earths in Other Solar Systems N-body simulations: the Role of Orbital Damping in Reproducing the Kepler Planetary Systems
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• Three planets transiting the evolved star EPIC 249893012: a hot 8.8-M${}_{\oplus }$ super-Earth and two warm 14.7 and 10.2-M${}_{\oplus }$ sub-Neptunes
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• The SOPHIE search for northern extrasolar planets. XVIII: Six new cold Jupiters, including one of the most eccentric exoplanet orbits
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