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Atmospheric dynamics of red supergiant stars. Andrea Chiavassa Groupe de Recherche en Astronomie et Astrophysique du Languedoc GRAAL. Thesis advisor: Bertrand Plez. Outline. RSG stars The modeller's point of view The virtual observer’s point of view Spectroscopy Interferometry
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Atmospheric dynamics of red supergiant stars Andrea Chiavassa Groupe de Recherche en Astronomie et Astrophysique du Languedoc GRAAL Thesis advisor: Bertrand Plez
Outline • RSG stars • The modeller's point of view • The virtual observer’s point of view • Spectroscopy • Interferometry • Conclusions et perspectives
Outline • RSG stars • The modeller's point of view • The virtual observer’s point of view • Spectroscopy • Interferometry • Conclusions et perspectives
RSG stars - 1 RRSG 500 - 1000 Rsun 10 < MRSG < 30 Msun 3450 K < TRSG < 4100K (Levesque et al., 2005) Meynet & Maeder, 2003
RSG stars - 2 AAVSO Vis mag Time RSGs: • are irregular, small-amplitude variables - strong molecular bands (TiO ...) • broad lines (vmacro10 km/s, Josselin et Plez 2004) continuum poorly defined, spectrum synthesis is difficult ... Flux (arbitrary units)
RSG stars - 3 Profiles are variable in depth, width and velocity ! (stronger variations are seen in other RSG). Time-variable structure in line profiles is a natural and necessary consequence of giant convective cells Josselin & Plez, 2007
RSG stars - 4 Haubois et al. 2006 H band - IONIC Alpha Ori is big and relatively nearby. Excellent target for Interferometry • Surface inhomogeneities • Parametric models not enough to explain physics • Need for more complicated models? HST - Faint Object Camera UV Bright spot model for 700 nm (TiO) mas Young et al. 2000 mas
And the answers to RSG questions? • CO5BOLD (COnservative COde for the COmputation of COmpressible COnvection in a BOx of L Dimensions, l=2,3) developed by Freytag, Steffen, Ludwig et al. (for RSG, Freytag et al., 2002; 2008 in prep.) • Key point: coupling of radiation and hydrodynamics, which dominates in the physics of the transition layers • This tool will help to investigate: • the nature of the convection pattern • the atmospheric velocity fields • the impact of convection on spectral lines, visibility curves and phases
Outline • RSG stars • The modeller's point of view • The virtual observer’s point of view • Spectroscopy • Interferometry • Conclusions et perspectives
The modeller's point of view, CO5BOLD - 1 • STAR-IN-A-BOX setup: • Used to model RSG stars • The gravitation is spherical potential • The computational domain is a cube with equidistant directions, all the 6 surfaces have the same open boundaries • Strictly LTE and short characteristic method • Grey and non-grey (5 bins, under development) Bolometric Intensity - Freytag et al. 2002
Velocity fields • Velocities are a consequence of the strong convective motions. Approx radius position • Shock peak velocities saturates at 25 km/s. • In the upper photosphere the velocities are typically supersonic (Mach>1). Mach number 1 Radius (Rsun)
RSG simulations: state-of-the art Polynomial fit • CPU-time: 100 days more or less continuously on CPU-clock speed of 3 GHz • Drifting parameters, but relaxation in the last part Radius (Rsun) Time (years)
Out line • RSG stars • The modeller's point of view • The virtual observer’s point of view • Spectroscopy • Interferometry • Conclusions et perspectives
3D radiative transfer code OPTIM3D - 1 • Integral computed with Gauss-Laguerre quadrature of order 9 1.1 sec / (numerical resolution 2353) R = / = c/v 100000 at 6000 Å ~ 5 h / 1000Å ! (clock speed of 3 GHz)
3D radiative transfer code OPTIM3D - 2 • Opacity tables generated with MARCS with billion of molecular (see Gustafsson, 2008) and atomic (VALD) lines • Double linear interpolation for T and only once • Linear interpolation at right wavelength • /= R = 500000
3D radiative transfer code OPTIM3D - 3 • Cross-check: Linfor3D on 3D CO5BOLD local model for 3 artificial iron lines • Interpolation in the opacity tables is the main cause of the difference • OPTIM3D large range of wavelength + millions of lines simultaneously • Linfor3D high performing abundances determination
OPTIM3D produces: UVES lpha Ori RHD model To constrain the atmospheric dynamics To constrain the structure size
H band - Large convective cells • Large cell 400-500 Rsun, lifetime of years (st35gm03n07) • Lifetime intergranular lanes and dark spots few months
Optical - complex convection pattern H band TiO 6100 A Ca II H line Bright spot model for 700 nm (TiO) • Complex substructures - More spectacular than in H band! • Inversion of the contrast • Shocks in Ca II H line! mas Star at 174.3 pc ( 44.6 mas) Young et al. 2000 mas -1000 Rsun Shocks +1000
Photocenter H band (3.5 years covered) TiO 6100 A (1.5 years covered) +1 mas • TiO displacement up to 120 Rsun (15% stellar radius) and 20 Rsun for H band • If alpha Ori at 200pc: - TiO displacement 2.8 mas (detectable with GAIA!) - H band 0.5 mas -1 mas -2 mas +1 mas
Summary • The convection pattern of RSGs changes with the wavelength • Large convective cells • Spectacular in the optical • Calibration for GAIA
Out line • RSG stars • The modeller's point of view • The virtual observer’s point of view • Spectroscopy • Interferometry • Conclusions et perspectives
Characteristic velocities in the atmosphere - 1 asymmetric, variable cross-correlation functions (CCF) and irregular variations How to extract dynamical information ? Tomography (Alvarez et al. 2001) C8 C1 Velocity (km/s) Velocity (km/s) Synthetic spectrum’s CCF in the optical range Observed CCF of MuCep (Josselin & Plez, 2007)
Characteristic velocities in the atmosphere - 2 The velocityamplitude is in qualitative agreement with the observations. Even mask C1 is not 0 km/s simulation observations < v(C1) > = 2.3 km/s V466 Cas
Characteristic velocities in the atmosphere - 3 20 km/s v(C8r) vs v(C8b) v(C8r) vs C1 v(C8b) vs C1 8 km/s Simulation: time covered ≈ 1.5 year The trend of the variations is in qualitative agreement (e.g., slope of the black curve) Velocity amplitudes larger in the observations Representative Observations: time covered ≈ 1.5 year (Josselin & Plez 2007)
Characteristic velocities in the atmosphere - 4 depth(C8r) vs v(C8b) depth(C8r) vs C1 depth(C8b) vs C1 Simulation: time covered ≈ 1.5 year The trend of the variations is in qualitative agreement (e.g. slope blue and red) C1 is deeper in the simulations Representative Observations: time covered ≈ 1.5 year (Josselin & Plez 2007)
CO lines comparison to Wallace & Hinkle, 1996 Depth and width reproduced without need for micro- or macro-turbulence. < v correction > = - 2.3 km/s < v correction > = - 0.9 km/s Flux (arbitrary units) Flux (arbitrary units) observations Colors 3.5 years covered Velocity (km/s) Velocity (km/s) =23057.543Å, =5.411 eV, log(gf)=-4.311 =23097.094Å, =1.476 eV, log(gf)=-4.195
CO lines comparison to Wallace & Hinkle, 1996 Line asymmetries and shifts of few km/s. RHD simulation good for high but no good for lower Flux (arbitrary units) Flux (arbitrary units) Colors 3.5 years covered observations Velocity (km/s) Velocity (km/s) =23057.543Å, =5.411 eV, log(gf)=-4.311 =23097.094Å, =1.476 eV, log(gf)=-4.195
Ti I line at 6261.11 Å - 1 • Ori (Gray, 2008) FWHM (km/s) 6262 Simulation - period covered 550 days with a time-step of 23 days Variations in velocity! Variations in the positions of the lines and their depths in Gray (2008), as already pointed out by Josselin & Plez 2007!!!!!!, and in RHD simulation =6261.11Å, =3.430 eV, log(gf)=-5.735
Ti I line at 6261.11 Å - 2 • shapes at 1km/s level • shifts much larger than shape variations • The predominant shape is a reversed ”C” Time covered = 1.5 y • Ori (Gray, 2008) Velocity (km/s)
Summary • RHD simulations are in qualitative agreement on the velocity amplitude with respect to the observations • No need for macro- turbulence • Velocity correction due to the convection • Bisector predominant shape is a reversed ”C” in accord with the observations
Out line • RSG stars • The modeller's point of view • The virtual observer’s point of view • Spectroscopy • Interferometry • Conclusions et perspectives
Interferometry IONIC filter FLUOR filters Water CO CN Global spectrum
Intensity profiles and limb-darkening - 1 Angular Angular intensity dispersion is larger than the temporal ones Temporal Median p/R
Intensity profiles and limb-darkening - 2 Claret LD law (2000) with new coefficients (blue) Claret LD law with ATLAS9 3500K,log(g)=0, solar metallicity (green) Modification of LD law by Ludwig & Beckers (2008) (red) RHD snapshot p/R cycles/R
Numerical resolution and visibility maps • Small bright artificial patches (few pixels wide) • Median smoothing applied • Difference at 7th lobe (0.035 Rsun-1, i.e. 28 Rsun3.3 pixel) No smoothing smoothing cycles/Rsun
Visibility - the first lobe 10% at first null • Dispersion due to large (250-500 Rsun) convective cells • Fluctuations are 10% at 0.006 Rsun-1 (first null point) additional uncertainty for radius measurement! • No clear distinction between angular and temporal fluctuations Angular synthetic vis H band LD UD of 16mas at 173 pc (70 Rsun) Temporal fluctuations Angular fluctuations cycles/Rsun cycles/Rsun
Visibility - the second, third and fourth lobes • Clear deviation from circular symmetry. Signal higher than UD or LD predictions!!! • Scatter becomes larger with spatial frequencies • Signature of the characteristic size of convective cells H band LD UD of 16 mas at 173 pc (70 Rsun) cycles/Rsun 120 Rsun (15% R) 70 Rsun (8% R) 50 Rsun (6% R)
Visibility - the second, third and fourth lobes • How to detect this with today interferometer: • Searching for angular fluctuations using Earth rotation (1 night, same configuration) • Looking for temporal fluctuations (1 night, same configuration at two epochs) 10% Temporal fluctuations Angular fluctuations Vis<10-14% Vis<2-7% Vis<6-10%
Comparison to observations: Ori (Haubois et al. 2006) in IONIC • First data at high spatial frequency • Data from lower to higher frequency explained with one model! • Characterization of the convection size. Ori covered by cells of 50-120 Rsun • More measure at 20-25 arcsec-1 for signature of large cell Spatial frequency Squared Visibility UD of 43.65 mas 44.6 mas at 174.3 pc
Comparison to observations: Ori (Perrin et al. 2004) in K222 • Confirmation in the K band: presence of cells of 50 to 120 Rsun • Measure at 20 to 23 arcsec-1explained cells of 200 Rsun Spatial frequency Visibility UD of 43.65 mas Linear LD of 43.64 mas UD of 43.65 mas 43.6 mas at 179 pc
Importance of high spectral resolution - 1 • Variation of the interferometric data between different spectral features, and between features and continuum Chiavassa et al., 2007 (SF2A)
Importance of high spectral resolution - 2 • The visibility is wavelength dependent! • It is crucial to have high spectral resolution • H band is a good target wavelength 45 mas at 173.5 pc AMBER spectral resolution of 1500 Resolution of 12000
Comparison to observations:Mu Cep (Perrin et al. 2005) in K band K203 K215 • RHD model cannot fit all the data with one model! • Not even changing cells distribution <2% 15.8 mas at 490 pc K222 Spatial frequency K239
Closure phases Structures of 80 Rsun • Commonly non zero or ± surface inhomogeneities • Wavelength dependent • Necessary to observe at high spatial frequencies • H band has larger dispersion IONIC Closure Phase (degree) K222 Max baseline (m) Structures of 50 Rsun
Summary • Average limb-darkening profile • Convection-related surface structures cause visibility fluctuations that: • Add uncertainty on radius measurement • Clearly deviate from circular symmetry at high frequency • Ori is covered by cells of 50-120 Rsun • Importance of high spectral resolution to characterize the convection pattern
Out line • RSG stars • The modeller's point of view • The virtual observer’s point of view • Spectroscopy • Interferometry • Conclusions et perspectives
Conclusions - 1 • The convection pattern in RSGs is wavelength dependent. Few large (400-500 Rsun) convective cells in the IR with a lifetime of years and complex pattern in the optical. • RHD simulations have been compared to observations: • Qualitative agreement on the velocity amplitude • No need for macro-turbulence • Reverse-”C” shape, line shifts and asymmetries without using or macro-turbulence • Detection of convection cells on Ori from interferometric data