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Lecture III: Gas Giant Planets 1.From Lecture II: Phase separation 2.Albedos and temperatures 3.Observed transmission spectra 4.Observed thermal spectra 5.Observations of reflected light
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H + He + rocky core Mass-Radius Plot for Hot Jupiters H + He
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Its current luminosity is ~50% greater than predicted by models that work for Jupiter: A Problem with Saturn ?... Fortney & Hubbard (2004) If modelled like Jupiter, Saturn reaches its current T eff (luminosity) in only 2 Gyr !
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One idea for resolving the discrepancy - phase separation of neutral He from liquid metallic H (Stevenson & Salpeter 1977): for a saturation number fraction of the solute (He), phase separation will occur when the temperature drops below T : x = exp (B - A/kT) where x=0.085 (solar comp., Y=0.27), B=const.(~0), A~1-2 eV (pressure- dependent const.), therefore T = 5,000 - 10,000 K A Problem with Saturn ?…
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Phase diagram for H & He: A Problem with Saturn ?... Fortney & Hubbard (2004) Model results: Stevenson (‘75) vs. Pfaffenzeller et al. (‘95) - different sign for dA/dP !
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New models: A Problem with Saturn ?... Fortney & Hubbard (2004) Model results: The modified Pfaffenzeller et al. (‘95) phase diagram resolves the discrepancy. Good match to observed helium depletions in the atmospheres of Jupiter (Y=0.234) & Saturn (Y~0.2).
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Cooling curves: Evolution Models of Exo-planets: Fortney & Hubbard (2004) Models: All planets have 10 M E cores & no irradiation. The models with He separation have ~2 x higher luminosities.
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H + He + rocky core Mass-Radius Plot for Hot Jupiters H + He
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Atmosphere: In general - outer boundary for planet’s thermal evolution - the extrasolar planets have introduced conditions which had never been modeled. Clouds & (photo)chemistry Evaporation (very hot & hot Jupiters) Transits make easier the spectroscopic studies of a planet’s atmosphere.
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Albedos Rowe et al.(2006)
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HD 209458b Albedos New upper limit on A g Rowe et al.(2006) (Rowe et al. 2008)
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Models Constraints 2004 1 sigma limit – or - ~2005 3 sigma limit Spitzer Limit Different atmospheres blackbody model Rowe et al. 2006 Rowe et al. (in prep) best fit Equilibrium Temperature
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The Close-in Extrasolar Giant Planets Type and size of condensate is important Possibly large reflected light in the optical Thermal emission in the infrared Seager & Sasselov 2000
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Atmosphere: What is special about atomic Na and the alkali metals? Seager & Sasselov (2000)
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Atmosphere: Theoretical Transmission Spectra of HD 209458 b Wavelength (nm) Occulted Area (%) Seager & Sasselov (2000)
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Atmosphere: The tricks of transmission spectroscopy: Brown (2001)
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The actual detection (with the HST): a 5 signal 2x weaker than model expected, but within errors Might indicate high clouds above terminator, but … Charbonneau et al. (2002)
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Direct Detection of Thermal Emission
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Model Constraints Deming et al. 2005 Spitzer Limit T b = 1130 K Different atmospheres blackbody model HD 209458b Equilibrium Temperature
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Spectra Four observed data points vs. models Burrows, Sudarsky, & Hubeny (2006)
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Infrared Eclipses in HD 189733: Measuring the Emitted Heat Time (in fraction of day) Orbital phase Relative Intensity or Brightness Detection (Feb. 20, 2006) by Deming et al. using the Spitzer Space Telescope
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Variability in IR Eclipse Depths Rauscher et al. (2006) Temperature map of a partially eclipsed face of HD209458b in a model with 400 m/s winds.
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Variability in IR Eclipse Depths Rauscher et al. (2006) Temperature map of a partially eclipsed face of HD209458b in a model with 400 m/s winds.
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And b The Spitzer IR photometry at 24 micron: A) Raw data B) Corrected for zodiacal foreground Harrington, et al. (2006)
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And b The Spitzer IR photometry at 24 micron fit to a model Harrington, et al. (2006)
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Lecture II: Observed Spectra of EGPs 1.Albedos and temperatures 2.Observed transmission spectra 3.Observed thermal spectra 4.Observations of reflected light
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Observations for Reflected Light ● Sudarsky Planet types I : Ammonia Clouds II : Water Clouds III : Clear IV : Alkali Metal V : Silicate Clouds ● Predicted Albedos: IV : 0.03 V : 0.50 Sudarsky et al. 2000 Picture of class IV planet generated using Celestia Software
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Photometric Light Curves Micromagnitude variability from planet phase changes Space-based: MOST (~2005), COROT (~2007), Kepler (~2008) m=2.5 (R p /D) 2 2/3/ (sin( ) + ( - )cos( ))
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Scattered Light Need to consider: phase function multiple scattering
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Scattering Phase Functions and Polar Plots Seager, Whitney, & Sasselov 2000 Forward throwing & “glory” MgSiO 3 (solid), Al 2 O 3 (dashed), and Fe(s)
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Scattered Light Changes with Phase Seager, Whitney, & Sasselov 2000 51 Peg @ 550 nm
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Mission Microvariability and Oscillations of STars / Microvariabilité et Oscillations STellaire First space satellite dedicated to stellar seismology Small optical telescope & ultraprecise photometer goal: ~ few ppm = few micromag MOST at a glance Canadian Space Agency (CSA)
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circular polar orbit altitude h = 820 km period P = 101 min inclination i = 98.6º Sun-synchronous stays over terminator CVZ ~ 54° wide -18º < Decl. < +36º stars visible for up to 8 wks Ground station network Toronto, Vancouver, Vienna MOST at a glance MOST orbit normal vector to Sun CVZ = Continuous Viewing Zone Orbit
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Lightcurve Model for HD 209458b ● Relative depths transit: 2% eclipse: 0.005% ● Duration 3 hours ● Phase changes of planet Phase Relative Flux EclipseTransit
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The Lightcurve from MOST 45 days 0.03 mag ● 2004 data : 14 days, 4 orbital cycles ● 2005 data : 45 days, 12 orbital cycles ● duty cycle : ~90% ● 473 896 observations ● 3 mmag point-to-point precision 2005 observations, 40 minute binned data
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0.1 mag 0.02 mag 0.8 mmag
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Albedo Results ● Best fit parameters: Albedo : 0.07 ± 0.05 stellar radius : 1.346 ± 0.005 R Jup ● Other Parameters: stellar mass: 1.101 M sun inclination: 86.929 period : 3.52... days see Knutson et al. 2006 Geometric Albedo Radius (Jupiter) 1,2,3 sigma error contours Rowe et al. (in prep)
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Atmospheres MOST bandpass Geometric Albedo ● HD 209458b is darker than Jupiter ● Rule out class V planet with bright reflection silicon clouds Marley et al. 1999
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HD 209458b Albedos New upper limit on A g Rowe et al.(2006) (Rowe et al. 2007)
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