First Detection of Polarized Scattered Light from an Exoplanetary Atmosphere Berdyugina et al. (12/2007) Florian Herzele SE Aktuelle Forschung zu Extrasolaren Planeten WS 07/08
Planetary Atmospheres Light scattered in planetary atmospheres is linearly polarized perpendicular to scattering plane Characterized by Stokes parameters q and u, normalized to total flux During revolution scattering angle changes = Stokes parameters vary Determination of orbital parameters
System HD NameHD b Discovered in2005 M.sin i1.15 (± 0.046) MJ Semi major axis (± ) AU Orbital period (± 2e-05) days Eccentricity0 Radius1.156 (± 0.032) RJ T transit (± ) Inclination85.76 (± 0.29) deg. Update18/04/07
What they did and how Observations in with double image CCD polarimeter remotely controlled 60cm KVA telescope on La Palma Rotating superachromatic plate as retarder and calcite plate as analyzer Cylces of 16 exposures (retarder rotated at 22.5°)
Stokes Parameter X-axis: north-south Y-axis: east-west
When they did it 2006: 10-15s 2x16 positions; = % 2007: 20-30s 4x16 positions; = % Overall: 93 nightly measurements for each Stokes parameter
Obtained Data
Assumptions Lambert sphere approximation Rayleigh scattering 2 minimization procedure Simulated sample of Monte Carlo measurements
Lambert Sphere light falling on it is scattered such that the apparent brightness of the surface to an observer is the same regardless of the observer's angle of view Perfectly reflecting surface with geometrical albedo p=2/3
Rayleigh Scattering
2 Distribution
Orbital Parameters Fixed paramters:orbital period P, transit / periastron epoch T 0, semi-major axis a, radius of the star R * Free parameters: eccentricity e, inclination i, longitude of the ascending node , radius of Lambert sphere R L, constant shift in Stokes parameters u and q
Inclination Inclination can be tested by photometric data but polarimetry can destinguish between i>90° (clockwise roation) and i<90° (counterclockwise) At i=0° q and u have the same amplitude For i≠0°: relative amplitude is influenced by , variations appear only at certain longitudes
Best-fit Solution (1)Errors of measurements have Gaussian distribution (2)Signal is not spurious (3)Solution is robust to errors
Results 180° -≈ < ≈30% if evaporating halo exists
Interpretation Excellent agreement between known values in e and i indicate plausibility of Rayleigh scattering Planet has extended atmosphere effectively scattering in blue Small particles like H, H 2, H 2 O or even small dust grains (≤ 5 m, e.g. silicate) might be present
Planetary Motion