Search for & Characterizing Small Planets with NASA s Kepler Mission

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Search for & Characterizing Small Planets with NASA s Kepler Mission Eric Ford University of Florida SAMSI Astrostatistics Workshop September 21, 2012 Image credit: NASA/ESA/StSci

Golden Age for Planet Discovery Image credit: Jorge Gallego

Questions We d Like To Answer How common is life beyond the Solar System in the Universe? What is the distribution of planets and planetary systems? How does planet formation work?

Refining the Question How common is life beyond the Solar System in the Universe? How common is Earth-like life in the Milky Way (MW; i.e., our galaxy)? How common are Earth-like planets in MW? How common are Earth-size (or Earth-mass) planets in the habitable zone of solar-type stars in MW?

Questions Kepler Can Answer How common are Earth-size planets in the habitable zone of solar-type stars in MW? What is the relationship between mass, radius & density for small planets? (i.e., constraints on bulk composition? What are the empirical constraints on theories of planet formation?

Questions Kepler Can Answer How common are Earth-size planets in the habitable zone of solar-type stars in MW? Planet detection & confirmation, understanding selection function What is the relationship between mass, radius & density for small planets? (i.e., constraints on bulk composition) Analysis of TTVs What are the empirical constraints on theories of planet formation? Comparing observations of exoplanet population to synthetic planet populations

NASA s Kepler Mission Photometry of >160,000 stars Looking for Earth-like planets in transit 50µmag in 6 hours; 30 minute cadence All current data public as of Oct 28, 2012 7.5 year Extended mission will yield ~2TB of light curves (much more pixel data) N NASA

NASA/Ames/JPL-Caltech

Detecting a Transiting Planet NASA/Kepler/Dana Berry

Transiting Planet Detection w/ Kepler For most practical purposes, searching for planet transits is a solved problem for sufficiently large planets (>~2 R Earth ) Still a challenge for Earth-size planets in HZ But making a real contribution to planet detection (or validation) would require extensive astronomical/instrument knowledge

NASA

Kepler s Planet Candidates as of Dec 2011 Feb 2011 Dec 2011 Size Relative to Earth Jun 2010 Orbital Period in days Batalha et al. 2012 NASA

Potential False Positives & Validation For expected rates see: Borcuki et al. 2011b Morton & Johnson 2011 Howard et al. 2011

Transiting Planet Characterization Planet s Size, Mass & Density Basis for theorists to consider bulk composition, size of any atmosphere, implications for habitability Planet s Orbit (period, eccentricity, inclination) Relationship to masses and orbits of any other planets orbiting the same star Basis for theorists to constrain planet formation models

Systems w/ Multiple Transiting Planets Brightness Image credit: NASA Ames/Kepler Time (days)

Image credit: NASA/Tim Pyle

Kepler-11 Lissauer, Fabrycky, Ford et al. 2011

Kepler-11: Folded Light Curves Normalized Flux -5 0 5-5 0 5 Time (hr) Time (hr) Lissauer+ 2011

Image credit: NASA Ames/Kepler Mission

Lissauer+ 2011

Composition of Kepler-11 s Planets Image credit: Sam Quinn, Harvard Smithsonian Center for Astrophysics

TTVs & Uniqueness Kepler-19b Ford & Holman 2007 Ballard+ 2011

Characterizing the Exoplanet Population

Sizes of Planet Candidates 1181 Neptune-size Super Earth-size 680 Earth-size 207 Jupiter-size 203 Super 27 Jupiter-size

Eccentricities, Inclinations & Multiplicity Three key probes of planet formation: Eccentricity distribution (+ stellar densities) Transit duration distribution Inclination distribution + Frequency of multiple planet systems (+ Period distribution) Frequency of multiply transiting systems Frequency of multiple planet systems + Eccentricity Distribution (+ Period distribution) Distribution of TTV signatures One complex inverse problem!

Eccentricities, Inclinations & Multiplicity Three key probes of planet formation: Eccentricity distribution (+ stellar densities) Transit duration distribution Inclination distribution + Frequency of multiple planet systems (+ Period distribution) Frequency of multiply transiting systems Frequency of multiple planet systems + Eccentricity Distribution (+ Period distribution) Distribution of TTV signatures One complex inverse problem! (Observables, Desired Distributions, Both)

Modern Statistical and Computational Methods for Analysis of Kepler Data SAMSI June 10-28, 2013 Contacts: Eric Ford (UF), Jim Berger (Duke), Paul Baines (UC Davis), David Hogg (NYU)