Adriana Silva-Válio (Mackenzie University – Brazil) A. F. Nucio (Osservatorio Astrofisico di Catania, Italy) R. Alonso and P. Barge (LAM - France) CoRoT Symp.: 02-05/02/2009
During one of its transits, an extra-solar planet may pass in front of a stellar group of spots creating a small variation in the stellar signal. Light curve fitting by a model allows the study of the physical characteristics of starspots Starspot model: Silva, ApJ Lett., 585, L147, 2003.
Star: modeled star with limb darkening Planet: dark disc Spot: modeled by three parameters: –Intensity, as a function of stellar intensity at disk center (max); –Size, as a function of planet radius; –Position, Latitude (restricted to transit path) and Longitude
Planet opaque disk of radius r/R s Transit: every two minutes, the planet is centered at a given position in its orbit (a orb /R s and i) calculate the integrated flux by summing the intensity in all the pixels
Planet –M sin(i) = 3.31 M J –P = days –R = R J –Inc = Star K0V –M = 0.97 M sun –R = R sun –T eff = 5625 K –d = 300 pc
77 transits
Latitude = o Planetary & orbital parameters: –P p = d –P s = 4.54 d –a = A.U. (6.2 R * ) –i = o –R p = R * Time (h) Residuals 32 nd transit 4 th transit
77 transits (134 days) Stellar rotation=4.54 days Modeled 18 spots of fixed position: –Latitude: o (transit line) –Longitudes: -70 – +70 o Models: –a) Fit intensity with fixed radius (0.5 R p ) –b) Fit radius with fixed intensity (0.3, 0.5, 0.665, 0.8 I center ) –c) Fit radius and intensity simultaneously.
0.665 I c 0.5 R p (R,I) 4 th transit
Spot lifetime: days Radius 1-Intensity
T eff =5625 K Intensity: I c Temperature: K Radius: R p
-85 o 125 o
Average spot number = 7
Planet transit sweeps an area between latitudes -5 o and -24 o. Total area obscured by planet: –A tot = 0.80 R * 2 –12% of solar hemisphere 2 Rp x1x1 x2x2
Fitted spot radius and intensity: Area = 18.5 % Fitted only spot radius: Area = %
“Planet radius” = R Jup (little larger than estimated without considering stellar spots) Radius R p ( )x10 4 km Intensity – temperature I c K Preferred longitudes-66 o, 114 o # spots – area coverage % Lifetime31+11 daysno periodicity
Results expected: –Starspot structure for Earth size planets; –Stellar rotation (solar-like stars: 150 days ~ 5 periods) Extra: –Differential rotation (spots at different latitudes); –Activity cycles (for short cycles)
32+11 days days