Ubatuba November 2005 2nd CoRoT Brazil δ Scuti and γ Dor stars in COROT Rafael Garrido IAA,...
Transcript of Ubatuba November 2005 2nd CoRoT Brazil δ Scuti and γ Dor stars in COROT Rafael Garrido IAA,...
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)
Ubatuba Nov 2005Ubatuba Nov 2005 2nd CoRoT Brazil 2nd CoRoT Brazil
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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FG VirCurrent ground based observationsCurrent ground based observations
Breger et al. 2004 A&A 419, 695
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
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
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
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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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
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”)
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
Ubatuba Nov 2005Ubatuba Nov 2005 2nd CoRoT Brazil 2nd CoRoT Brazil
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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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
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)