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Stellar obliquities in exoplanetary systems
Josh Winn Massachusetts Institute of Technology Simon Albrecht, Roberto Sanchis-Ojeda, Teruyuki Hirano Andrew Howard, John Johnson, Geoff Marcy Bill Cochran, Dan Fabrycky, the Kepler team
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obliquity (n.) 1 : deviation from parallelism 2 : a deviation from moral rectitude or sound thinking
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Eccentricity Semimajor axis [AU] Jupiter
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Disk-planet interactions
Eccentricity Low obliquity Disk-planet interactions Semimajor axis [AU]
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Disk-planet interactions
Few-body dynamics High obliquity Eccentricity Tidal dissipation Low obliquity Disk-planet interactions Semimajor axis [AU]
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The Sanchis–Nutzman effect
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l = 0°
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l = 0°
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l = 0°
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l = 0°
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l = 0°
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l = 0°
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l = 0° l = 100°
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l = 0° l = 100°
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l = 0° l = 100°
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l = 0° l = 100°
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l = 0° l = 100° …
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l = 0° l = 100° …
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l = 0° l = 100° …
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… The starspot-anomaly pattern reveals the stellar obliquity
Sanchis-Ojeda et al. (2011 a,b) Nutzman, Fabrycky, & Fortney (2011) …
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Corot-2 Nutzman, Fabrycky, & Fortney (2011)
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Corot-2 l = 5 ± 12° Observed Calculated (l = 0°)
Nutzman, Fabrycky, & Fortney (2011) — see also Désert et al. (2011)
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HAT-P-11 Sanchis-Ojeda & Winn (2011)
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Time from midtransit [days]
Sanchis-Ojeda & Winn (2011)
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Sanchis-Ojeda & Winn (2011)
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Sanchis-Ojeda & Winn (2011)
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Christoph Scheiner (1573-1650)
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The Rossiter-McLaughlin effect
Flux Time The Rossiter-McLaughlin effect
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The Rossiter-McLaughlin effect
Doppler shift Time The Rossiter-McLaughlin effect
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The Rossiter-McLaughlin effect
Doppler shift Time The Rossiter-McLaughlin effect
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The Rossiter-McLaughlin effect
Doppler shift Time The Rossiter-McLaughlin effect
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The Rossiter-McLaughlin effect
Doppler shift Time The Rossiter-McLaughlin effect
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The Rossiter-McLaughlin effect
Doppler shift Time The Rossiter-McLaughlin effect
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Measuring the projected obliquity
Queloz et al. (2000); Ohta, Taruya, & Suto (2005); Gaudi & Winn (2007)
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Low obliquity HD 189733 l = –1.4° ± 1.1° Winn et al. (2006);
see also Triaud et al. (2009)
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Moderate obliquity XO-3 l = 37.3° ± 3.0° Hirano et al. (2011);
see also Hébrard et al. (2008), Winn et al. (2009)
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High obliquity (retrograde)
Winn et al. (2009) Narita et al. (2009) Triaud et al. (2010)
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Valenti & Fischer (2005) Pinsonneault et al. (2001)
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(Zahn 1977)
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Problem: Orbit decays on same timescale as realignment
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Solution: Realign only the convective zone?
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Reality
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Constant-Q model
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Different Q’s for realignment and orbital decay
(D. Lai, in preparation)
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KOI-63 1.0 M , 1.0 R P = 9.4 days Rp = 6.5 R
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Prot = 5.4 days ≈ (4/7) Porb
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KOI-63
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Current obliquity measurements
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Current obliquity measurements
Kepler candidates
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Current obliquity measurements
Kepler candidates Kepler multi-planet candidates
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Rossiter-McLaughlin effect
Starspot anomalies Rossiter-McLaughlin effect Rotation-rate statistics (Schlaufman 2010) Gravity darkening (Barnes 2010, Szabo et al. 2011) Rotational Doppler boosting (van Kerkwijk et al. 2010) Spin precession TDVs (Damiani & Lanza 2011) Current obliquity measurements Kepler candidates Kepler multi-planet candidates
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