Mode identification usingMode identification using

Corot exo-planetary Corot exo-planetary

colourscolours Rafael Garrido Rafael Garrido IAA, Granada (Spain)IAA, Granada (Spain)

Juan Carlos Suárez Juan Carlos Suárez IAA, Granada (Spain)IAA, Granada (Spain)

Caroline BarbanCaroline Barban KU, Leuven (Belgium)KU, Leuven (Belgium)

Andy Moya, Marc Antoine Dupret & Marie-Jo Goupil Andy Moya, Marc Antoine Dupret & Marie-Jo Goupil UMR, UMR,

8109 Paris-Meudon (France) 8109 Paris-Meudon (France)

Ahmed GrigahceneAhmed Grigahcene Algiers Observatory (Algeria)Algiers Observatory (Algeria)

Toulouse May 2005Toulouse May 2005 Corot Week 8Corot Week 8

)( cos ln ln

ln ln

) ( cos ln ln

ln ln

)( cos )2)(1(

)(cos 10ln

2.5

e

e

eff

eff

eff

eff

tgg

gb

gF

tTT

Tb

TF

tll

bi Pm

l

Tl

l

m

l

Non-adiabaticcomputations

Surfacedistortion

Local effective temperature

variation

Localeffective gravity

variation

New equilibriumatmospheric models

(Heiter et al. A&A 392, 619 2002) (Barban et al. A&A 405, 1095 2003) g

rr/gg )(

2

e

e

Watson, R.D. 1988 ApSS 140, 255

One layer approximationOne layer approximation

• Temperature distribution:

• Monochromatic Flux:

• Limb darkening:

lnln

lnln

lnln

e

e

eff

eff

eff

T

gg

gT

TT

TT

TT

e

e

eff

eff

eff lnln

lnln

gg

gF

TT

TF

FF

lnln

lnln

lnln

e

e

eff

eff

eff

h

gg

gh

TT

Th

hh

Radiative equilibrium in the local atmosphereRadiative equilibrium in the local atmosphere

Dupret et al. 2003 A&A 398, 677Dupret et al. 2003 A&A 398, 677

Moya et al. 2004 A&A 414, 1081Moya et al. 2004 A&A 414, 1081

Non-adiabatic models:Non-adiabatic models:

Toulouse May 2005Toulouse May 2005 Corot Week 8Corot Week 8

Hydrodynamic equations

Mean equations Convective fluctuations equations

Equations of linear non-radial

non-adiabatic oscillations

Correlation terms

PerturbationPerturbation

Convection – pulsation interaction: Gabriel´s theory

• Convective flux• Reynolds stress• Turbulent kinetic energy dissipation

Perturbation of

Toulouse May 2005Toulouse May 2005 Corot Week 8Corot Week 8

δδ Scuti Stars Scuti Stars Amplitudes Amplitudes

Grigahcene et al. 2005 A&A 434, 1055Dupret et al. 2004 A&A 414, L17Dupret et al. 2005 A&A 435, 927

M=1.8 Mo

Toulouse May 2005Toulouse May 2005 Corot Week 8Corot Week 8

δδ Scuti Stars Scuti Stars Phases Phases

M=1.8 Mo

Grigahcene et al. 2005 A&A 434, 1055Dupret et al. 2004 A&A 414, L17Dupret et al. 2005 A&A 435, 927

Toulouse May 2005Toulouse May 2005 Corot Week 8Corot Week 8

δδ Scuti Stars Scuti Stars Strömgren Strömgren photometryphotometry

Grigahcene et al. 2005 A&A 434, 1055Dupret et al. 2004 A&A 414, L17Dupret et al. 2005 A&A 435, 927

Toulouse May 2005Toulouse May 2005 Corot Week 8Corot Week 8

γ Doradus Starsγ Doradus Stars AmplitudesAmplitudes

Grigahcene et al. 2005 A&A 434, 1055Dupret et al. 2004 A&A 414, L17Dupret et al. 2005 A&A 435, 927

Toulouse May 2005Toulouse May 2005 Corot Week 8Corot Week 8

γ Doradus Starsγ Doradus Stars AmplitudesAmplitudes

Grigahcene et al. 2005 A&A 434, 1055Dupret et al. 2004 A&A 414, L17Dupret et al. 2005 A&A 435, 927

Toulouse May 2005Toulouse May 2005 Corot Week 8Corot Week 8

Toulouse May 2005Toulouse May 2005 Corot Week 8Corot Week 8

Toulouse May 2005Toulouse May 2005 Corot Week 8Corot Week 8

Daszynska-Daszkiewicz et al. 2002 A&A 392, 151

Toulouse May 2005Toulouse May 2005 Corot Week 8Corot Week 8Palle et al. 2002, ASP. Conf., Porto

Toulouse May 2005Toulouse May 2005 Corot Week 8Corot Week 8

CONCLUSIONSCONCLUSIONS

EXOPLANET COLOURS CAN SUPPLY EXOPLANET COLOURS CAN SUPPLY

A A KEY FOR MODE IDENTIFICATIONKEY FOR MODE IDENTIFICATION

RELEVANT INFORMATION ON:RELEVANT INFORMATION ON:

MODEL ATMOSPHERES

LIMB DARKENING

NON-ADIABATIC PHENOMENA

CONVECTION

ROTATION