Property Trends
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Property Trends
Exoplanet around a Sun-like Star Planet Detection Timeline exoplanets.org | 11/21/2013 Distribution 150 100 50 1990 1995 2000 2005 2010 First Publication Date www.exoplanets.org Exoplanet around a Sun-like Star They are everywhere! 2.5 2.0 1.0 1.5 0 -50 0.5 DEC [Degrees] 50 0.1 1 10 RA [Hours] Mass of Star [Solar Mass] 3.0 exoplanets.org | 11/21/2013 Eccentric Planets Pass Clos Very e to Star Eccentricity 6 R ☼ 3 R ☼ 5yr 10yr 20yr Diversity of Extrasolar Planets Eccentric Giant Planets Hot Jupiters Jupiter Solar System-like Analogs Hot Jupiters Giant Planets Orbital Period (days) www.exoplanets.org P. Armitage New Theories of Planet Formation Illustration by E. Chiang; Adaptations E. Ford Hot Jupiters via Disk Migration ? Illustration Adapted from E. Chiang 9 Hot Jupiters via Planet Scattering + Tidal Circularization GLS Rasio & Ford 1996 Illustration adapted from E. Chiang 11 Eccentric Giant Planets via Planet Scattering GLS Rasio & Ford 1996; Weidenschilling & Marzari 1996 Illustration Adapted from E. Chiang Eccentricity Distribution Predicted by Planet Scattering Many Planets Three Planets ! s n io ) t i d g n terin o c at l t sc a i t n i lane i ”p o t t pure s m“ u b fro Rot least (a 0 0.4 0.8 e Eccentricity Juric & Tremaine 2007 0 0.4 0.8 e Eccentricity Chatterjee et al. 2007 Distance (AU) Secular Evolution of Ups And ra a rp d ra a rp c Eccentricity d c Time (years) Ford, Lystad, Rasio 2005; see also Malhotra (2002), Chiang et al. (2002); Barnes & Greenberg (2006); Veras & Ford 2009 Measuring Exoplanet Inclinations • Tidal dissipation in the planet rapidly damps eccentricity • Search for planets with inclination excited by strong scattering (Chatterjee et al. 2008; Fabrycky & Tremaine 2007; Nagasawa et al. 2007) Gaudi & Winn 2006 Projected Angle between Stellar Rotation Axis & Orbit Normal Stars & Hot-Jupiter’s can be Misaligned Host Star Temperature (K) Amaury Triaud; adapted from Winn et al. 2010 Launch of Kepler Mission Planet Size (Earth Radii) Orbital Period (days) NASA/Burke et al. in prep NASA / Burke et al. in prep Hot Jupiters are Lonely • 63 Hot Jupiters • No other transiting planets • No TTV signals • Consistent with eccentricity excitation followed by tidal circularization (Steffen et al. 2012 PNAS; see Szabo et al. arxiv) Hot Jupiters via Planet Scattering + Tidal Circularization GLS Rasio & Ford 1996 Illustration adapted from E. Chiang Hot Jupiters via Disk Migration? ? Illustration Adapted from E. Chiang 24 Innermost Planet Period Rank Orbital Resonances Among Multi-Planet Systems Disovered via RVs 55 Cnc Period (days) Fabrycky Kepler-30: Coplanarity via Spot Crossings Sanchis-Ojeda+ 2012 Extremely Compact Multi-transiting Planetary Systems Fabrycky et al. 2012 Extremely Compact Multi-transiting Planetary Systems TextHigher solid density close to staridea of minimum mass extrasolar nebula (Laughlin et al. 2012, also see Hansen & Murray 2012) Inside-out planet formation (Chatterjee & Tan) Fabrycky et al. 2012 Extremely Compact Multi-transiting Planetary Systems Inside-Out Planet Formation (i) (ii) dead zone MRI zone 3 pebble drift pebble ring forms at P max planet formation (iii) (iv) dead zone retreat Chatterjee & Tan 2013 Fig. 1.— Schematic overview of the stages of the inside-out planet formation scenario. (i) Pebble formation and drift to the inner disk. Pebbles form via dust coagulation in the protoplanetary disk. Those with ∼cm–m sizes attain high radial drift velocities and quickly reach the dead zone inner boundary, where they become trapped at the pressure maximum. (ii) Pebble ring formation. A ring of pebbles gradually Very Tightly Packed Planetary Systems Kepler-36b&c: Chaotic due to 29:34 and 6:7 MMRs! Carter et al. 2012; Deck et al. 2012 Resonances in Kepler Multi-Planet Systems – Predicted! • Most near, but not in resonance • Near resonant great for TTVs – esp. closely spaced pairs! Rein et al. 2012; Ford & Rasio 2008; Veras et al. 2012 Kepler Multi-Planet Candidates Period Ratio Total Planet Mass (MJup) • Rarer than in RV systems Cumulative Number of Planet Pairs RV Multi-Planet Systems Planet Radius (REarth) Number Kepler’s Near Resonant Systems Period Ratio Fabrycky et al. 2012; see also Rein et al. 2012; Ford & Rasio 2008; Veras et al. 2012 at closely e the en- Figure 1. Cumulative distribution of the period ratios in KOI systems with multiple planets – solid (red) line: observed period ratios; long dashed line: 104 years; and Veras short dashed line: period ratios after see migration τ a &=Rasio Rein et al. 2012; alsowith Ford 2008; et al. 2012 period ratios after migration with τ a = 103 yr. Downloaded fr up allows , the mi-scale τe . gap in a da, More Type I cal value Note that the Type ccentricmigration has been tified by 4). Tests s precise tep set to ve shown r or time Kepler’s Near Resonant Systems Kepler’s Near Resonant SystemsPeriod ra 5 ECCENTR Figure 2. Cumulative distribution of the period ratios in KOI systems with multiple planets – solid (red) line: observed period ratios; long dashed line: −6 ; and period aftersee migration with stochastic α =et10al. Rein et al.ratios 2012; also Ford & Rasio forces 2008;with Veras 2012 short dashed line: period ratios after migration with stochastic forces with −5 When planets m ities rise. Eventu and the eccentri (Papaloizou 200 tricities to grow If the combina ios, as presented period ratio dist centricity distrib parameters τ a = with parameters In Fig. 3 we p our simulations. 103 yr, produces resonance earlie without stochast curve (blue), sho planets that do eccentricity. Fin Kepler’s Near Resonant Systems resonant repulsion The Astrophysical Journal Letters, 756:L11 (5pp), 2012 September 1 time because the planets form large inertia. The prevalence of short tRR systems spurs us to h tRR in Figure 3 are results of resonances are not primordial, repulsion and three-body effec Removing the colored circl clear picture that most pairs while pairs very close to reso are shifted by a few percent to 4. DISC Lithwick Figure 3. Timescale for resonant repulsion to move the period ratio of Kepler planet pairs by a distance |∆|, where ∆ is the observed fractional distance to the et al. first 2012; see also Ford Rasio 2008; closest order resonance. We adopt KIC&system parameters, withVeras updated values for KOI-961 (red dots) from Muirhead et al. (2012). For tidal dissipation, Q1 = 10 and k2 = 0.1. The lower panel zooms in to the resonant region. If et In this work, we investigate excess of Kepler planet pairs ju just inward of resonance. We p sible for this asymmetry. Tw eccentricities are weakly dam 1981; Lithwick & Wu 2008; P dissipation damps away the p eccentricities that are forced dissipation. Planets are typica on these forced eccentricities. lows dissipation to continuous Resonant repulsion pushes pa al.side 2012 of resonance, and naturall accumulate at a fractional dist 2 1/3 Eccentricities of Transiting Planets via Transit Duration Distribution • Consistent w/ RV distribution • Smaller planets have smaller eccentricities • Subject to uncertainties in stellar properties (A. Moorhead+ 2011) Cool Host Stars Teff < 5400K A. Moorhead+ 2011; see also Dawson+ 2012, Kane+ 2012 Testing Planet Formation Theory with Kepler Orbital eccentricities, inclinations & multiplicity are 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 & transit duration variations • Frequency of multiple planet systems + Eccentricity distribution (+ period distribution) → Distribution of TTV signatures One complex inverse problem! (Observables, Desired Distributions, Both) Inclination Dispersion (degrees) Planet Multiplicity & Mutual Inclinations Ragozzine p(N;λ) == λλNNexp(-λ) exp(-λ)/ /N! N! (Poisson) p(N;λ) p(i;σ) = i / σ2 exp(-i2/2σ2) (Rayleigh) Mean Number of Planets per Star (λ) see also Lissauer+ 2011; Tremaine & Dong 2011; Fang et al. 2012 Period-Normalized Transit Duration Ratio R. Morehead; see poster 343.04 R. Morehead in prep.; see also Fabrycky et al. 2012; Fang et al. 2012; poster 343.04 Testing Planet Formation Theory with Kepler Orbital eccentricities, inclinations & multiplicity are 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 & transit duration variations • Frequency of multiple planet systems + Eccentricity distribution (+ period distribution) → Distribution of TTV signatures One complex inverse problem! (Observables, Desired Distributions, Both) Long-Term TTVs Ford+ 2012 Kepler’s Multiple Planet Systems Holman+ 2011; Batalha+ 2010; Torres+ 2010; Lissauer+ 2011; Cochran+ 2011; Ford+ 2012; Steffen+ 2012ab; Fabrycky+ 2012; Fressin+ 2012; Muirhead+ 2012; Nesvorny+ 2012; Xie 2012; Orosz+ 2012 Kepler’s Multiple Planet Systems Holman+ 2011; Batalha+ 2010; Torres+ 2010; Lissauer+ 2011; Cochran+ 2011; Ford+ 2012; Steffen+ 2012ab; Fabrycky+ 2012; Fressin+ 2012; Muirhead+ 2012; Nesvorny+ 2012; Xie 2012; Orosz+ 2012 Kepler’s Multiple Planet Systems Holman+ 2011; Batalha+ 2010; Torres+ 2010; Lissauer+ 2011; Cochran+ 2011; Ford+ 2012; Steffen+ 2012ab; Fabrycky+ 2012; Fressin+ 2012; Muirhead+ 2012; Nesvorny+ 2012; Xie 2012; Orosz+ 2012 Kepler’s Multiple Planet Systems Holman+ 2011; Batalha+ 2010; Torres+ 2010; Lissauer+ 2011; Cochran+ 2011; Ford+ 2012; Steffen+ 2012ab; Fabrycky+ 2012; Fressin+ 2012; Muirhead+ 2012; Nesvorny+ 2012; Xie 2012; Orosz+ 2012 How Common are TTVs? • First 16 months of Kepler data (Ford+ 2012): – 39 – 175 TTV candidates – 8% – 18% of suitable KOIs show TTVs – More for multis & long period planets • Planets Confirmed by TTVs: 73 of ~105 • Sensitivity to long-term TTVs grows ~t5/2 – Many more KOIs w/ TTVs in extended mission Super-Earths or Mini-Neptunes? Eric Lopez Future Prospects for Measuring Masses via TTVs 1 Earth-mass, 3:2 MMR, Kp=13 2 Earth-mass, 3:2 MMR, Kp=13 Ford Detecting Small Planets w/ Large TTVs Undetectable in 8 years D c e t e / w le b ta w e N s m ith r go l A Detected despite any TTVs w/ 8 years of Kepler data Ford+ 2012 New Algorithms: Carter & Agol in prep; Moorhead+ in prep Testing Planet Formation Theory with Kepler Must combine many elements simultaneously: • Detection efficiency/completeness • Planetary systems (not just superposition of individual planets) • Variety of observational constraints (e.g., RV, TTV, spectra, imaging, seismology) • Observational uncertainties • How planets were chosen for follow-up observations or more detailed analyses Future Space Missions Direct Imaging & ALMA Boley et al. 2012 ALMA: ESO/NAOJ/NRAO + HST: NASA/ESA NASA, ESA, & Kalas (UC, Berkeley & SETI Institute) Invite Students to Join the Hunt! PlanetHunters.org Invite Students to Join the Hunt! PlanetHunters.org Questions NASA Movie of Collapse & Fragmentation Movie of Collapse & Fragmentation
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