Ubatuba November 2005 2nd CoRoT Brazil δ Scuti and γ Dor stars in COROT Rafael Garrido IAA,...

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Ubatuba November Ubatuba November 2005 2005 2nd CoRoT Brazil 2nd CoRoT Brazil δ δ Scuti and Scuti and γ γ Dor Dor stars in stars in COROT COROT Rafael Garrido Rafael Garrido IAA, Granada (Spain) IAA, Granada (Spain)

Transcript of Ubatuba November 2005 2nd CoRoT Brazil δ Scuti and γ Dor stars in COROT Rafael Garrido IAA,...

Page 1: Ubatuba November 2005 2nd CoRoT Brazil δ Scuti and γ Dor stars in COROT Rafael Garrido IAA, Granada (Spain)

Ubatuba November 2005Ubatuba November 2005 2nd CoRoT Brazil 2nd CoRoT Brazil

δδ Scuti and Scuti and γγ Dor stars in Dor stars in

COROTCOROT

Rafael GarridoRafael Garrido

IAA, Granada (Spain)IAA, Granada (Spain)

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Current ground based observationsCurrent ground based observations

δδ Scuti:Scuti: 0.3 – 3 hours (p- and mixed modes) 0.3 – 3 hours (p- and mixed modes)

γγ Doradus:Doradus: 0.4 – several days (g-modes) 0.4 – several days (g-modes)

both regimes? (Dupret et al. 2004 A&A 414, L17)both regimes? (Dupret et al. 2004 A&A 414, L17)

and and Solar likeSolar like oscillations? (Samadi et al. 2002 A&A 395, 563) oscillations? (Samadi et al. 2002 A&A 395, 563)

Mode identification:Mode identification:

Frequency differences: Sismo & ExoFrequency differences: Sismo & Exo

Frequency combinations: Sismo & ExoFrequency combinations: Sismo & Exo

Colour information: ExoColour information: Exo

Frequency Ratio Method (Frequency Ratio Method (γγ Dor)Dor) : Sismo & Exo : Sismo & Exo

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Ubatuba Nov 2005Ubatuba Nov 2005 2nd CoRoT Brazil 2nd CoRoT Brazil

FG VirCurrent ground based observationsCurrent ground based observations

Breger et al. 2004 A&A 419, 695

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Ubatuba Nov 2005Ubatuba Nov 2005 2nd CoRoT Brazil 2nd CoRoT Brazil

Breger et al. 2004 A&A 419, 695

FG VirCurrent ground based observationsCurrent ground based observations

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Ubatuba Nov 2005Ubatuba Nov 2005 2nd CoRoT Brazil 2nd CoRoT Brazil

Current ground based observationsCurrent ground based observations

Breger et al. 2004 A&A 419, 695

FG Vir

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Ubatuba Nov 2005Ubatuba Nov 2005 2nd CoRoT Brazil 2nd CoRoT Brazil

Breger et al. 2004 A&A 419, 695

FG VirCurrent ground based observationsCurrent ground based observations

Page 7: Ubatuba November 2005 2nd CoRoT Brazil δ Scuti and γ Dor stars in COROT Rafael Garrido IAA, Granada (Spain)

Ubatuba Nov 2005Ubatuba Nov 2005 2nd CoRoT Brazil 2nd CoRoT Brazil

Current ground based observationsCurrent ground based observations

Breger et al. 2004 A&A 419, 695

FG Vir

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Ubatuba Nov 2005Ubatuba Nov 2005 2nd CoRoT Brazil 2nd CoRoT Brazil

Current ground based observationsCurrent ground based observations

DFT (Daily Aliasing)DFT (Daily Aliasing)

Frequencies estimations:Frequencies estimations:

simultaneous n-fitting at step nsimultaneous n-fitting at step n

Frequency errors:Frequency errors:

Rayleigh resolution (1/T)Rayleigh resolution (1/T)

oror

non-linear fitting non-linear fitting

Amplitude and phase errors:Amplitude and phase errors:

least square fitting at fixed frequenciesleast square fitting at fixed frequencies

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Ubatuba Nov 2005Ubatuba Nov 2005 2nd CoRoT Brazil 2nd CoRoT Brazil

Schwanzerberg-Czerny 1991 MNRAS, 253, 198:

Uncorrelated observationsUncorrelated observations

σσ(F) = √6/(F) = √6/ππ * (N/S) * (1/√Nt) * (1/T) * (N/S) * (1/√Nt) * (1/T)

S/N Signal to Noise ratioS/N Signal to Noise ratio Nt Total number of observationsNt Total number of observations T Time baseT Time base

Correlated observations Correlated observations

σσ(F)= √D * (F)= √D * σσ(F) (F) D Correlation length (“post mortem”)D Correlation length (“post mortem”)

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Ubatuba Nov 2005Ubatuba Nov 2005 2nd CoRoT Brazil 2nd CoRoT Brazil

Present ground based observationsPresent ground based observations

Amplitude and phases errors:Amplitude and phases errors:

Least squares at fixed frequenciesLeast squares at fixed frequencies

Best errors values for ground based : Best errors values for ground based :

0.05 mmags and 0.5 degrees.0.05 mmags and 0.5 degrees.

Main results for Main results for δδ Scuti Scuti::

Amplitude and phase variationsAmplitude and phase variations

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Breger, M. 2000, MNRAS 313, 129Rodriguez et al. 1998, A&A 338, 905 28 And

Amplitude variationsAmplitude variations

4 CVn

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Breger, M. 2000, MNRAS 313, 129Breger, M. 2000, MNRAS 313, 129

Garrido & Rodriguez 1996 MNRAS 281, 696Garrido & Rodriguez 1996 MNRAS 281, 696

4 CVn

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Wavelets (Equally spaced Wavelets (Equally spaced data):data):

Mexican hatMexican hat MorletMorlet

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Ubatuba Nov 2005Ubatuba Nov 2005 2nd CoRoT Brazil 2nd CoRoT Brazil

Wavelets (Equally spaced Wavelets (Equally spaced data):data):

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Bispectra (Equally spaced data)Bispectra (Equally spaced data)

non zero only when quadratic coupling exists !

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SOHO: bispectrum modulus.SOHO: bispectrum modulus.

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Ubatuba Nov 2005Ubatuba Nov 2005 2nd CoRoT Brazil 2nd CoRoT Brazil z

Suárez et al. 2005, A&A SubmittedSuárez et al. 2005, A&A Submitted

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Breger et al. 1999 A&A 341, 151Breger et al. 1999 A&A 341, 151

Frequency differencesFrequency differences FG Vir

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p7

p1

1.4 M0

1.6 M0

1.8 M0

2 M0

2.2 M0

= 0.5 - = 0

δδ Scuti Stars Scuti Stars Red borderRed border

Grigahcene et al. 2005 A&A 434, 1055

Dupret et al. 2004 A&A 414, L17

Dupret et al. 2005 A&A 435, 927

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p7

p1

1.4 M0

2 M0

1.8 M0

1.6 M0

2.2 M0

= 1 - = 0

δδ Scuti Stars Scuti Stars Red borderRed border

Grigahcene et al. 2005 A&A 434, 1055

Dupret et al. 2004 A&A 414, L17

Dupret et al. 2005 A&A 435, 927

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p1p7

p1

1.4 M0

1.8 M0

2 M0

2.2 M0

1.6 M0

= 1.5 - = 0

δδ Scuti Stars Scuti Stars Red borderRed border

Grigahcene et al. 2005 A&A 434, 1055

Dupret et al. 2004 A&A 414, L17

Dupret et al. 2005 A&A 435, 927

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p6

fB

g7

fR

1.4 M0

2 M0

2.2 M0

1.8 M0

1.6 M0

= 1.5 - = 2

δδ Scuti Stars Scuti Stars Red borderRed border

Grigahcene et al. 2005 A&A 434, 1055

Dupret et al. 2004 A&A 414, L17

Dupret et al. 2005 A&A 435, 927

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γγ Doradus stars Doradus starsg- and p-unstable modesg- and p-unstable modes

1.5 M0 - l = 1 - a = 1.5

Grigahcene et al. 2005 A&A 434, 1055

Dupret et al. 2004 A&A 414, L17

Dupret et al. 2005 A&A 435, 927

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γγ Doradus stars Doradus stars Instability stripInstability strip

Grigahcene et al. 2005 A&A 434, 1055

Dupret et al. 2004 A&A 414, L17

Dupret et al. 2005 A&A 435, 927

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Moya et al. 2005 A&A, 432, 189Suarez et al. 2005 A&A 443, 271

γγ Doradus stars Doradus stars Frequency ratio methodFrequency ratio method

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Moya et al. 2005 A&A, 432, 189Suarez et al. 2005 A&A 443, 271

γγ Doradus stars Doradus stars Frequency ratio methodFrequency ratio method

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Poretti et al. 2003 A&A 406, 203Poretti et al. 2005 A. J. 129, 2461

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CONCLUSIONSCONCLUSIONS

COROT data:COROT data:

• Continuous data (no alias, techniques requiring Continuous data (no alias, techniques requiring

equally spaced data, high Nyquist frequency for equally spaced data, high Nyquist frequency for

sismo data)sismo data)

• Exploration of the high frequency region (Solar Exploration of the high frequency region (Solar

like?)like?)

• Discovery of unique objects (Discovery of unique objects (δδ Scuti + Scuti + γγ Dor + Dor +

solar like?)solar like?)

• Amplitude, phase (and frequency?) changesAmplitude, phase (and frequency?) changes

• Mode identification (frequency differences, Mode identification (frequency differences,

linear combinations, colours, FRM)linear combinations, colours, FRM)