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Ages for dwarfs and giants from asteroseismology Bad Honnef, June 1st 2015 Víctor Silva Aguirre Aldo Serenelli

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Page 1: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Ages for dwarfs and giantsfrom asteroseismology

Bad Honnef, June 1st 2015

Summary of the previous meeting

Víctor Silva Aguirre!Aldo Serenelli

Page 2: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Introduction

Page 3: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Introduction

❖ Revolution: seismic data for thousands of field stars!

❖ Seismic stellar parameters for galactic archaeology!

❖ How is it done?!

❖ Which observables are used?!

❖ What are they sensitive to?!

❖ How good are the seismic stellar properties?

Page 4: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Disclaimer

Page 5: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Disclaimer

❖ BAyesian STellar Algorithm: BASTA!

❖ Bellaterra Stellar Properties Pipeline: BeSPP Serenelli et al. 2013,MNRAS

Silva Aguirre et al. 2015, MNRAS

Under the hood:

Page 6: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Disclaimer

❖ BAyesian STellar Algorithm: BASTA!

❖ Bellaterra Stellar Properties Pipeline: BeSPP Serenelli et al. 2013,MNRAS

Silva Aguirre et al. 2015, MNRAS

Under the hood:

❖ Exoplanet host stars: !

❖ Dwarfs and subgiants: !

❖ Red giants: SAGA, APOKASC!

❖ Gyrochronology:

Reference stellar properties for:Silva Aguirre et al. 2015, MNRAS, etc…

Chaplin et al. 2014, ApJS

Casagrande et al. 2014, ApJ

Pinsonneault et al. 2014, ApJS

van Saders et al. 2015, in prep

Page 7: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Disclaimer

❖ BAyesian STellar Algorithm: BASTA!

❖ Bellaterra Stellar Properties Pipeline: BeSPP Serenelli et al. 2013,MNRAS

Silva Aguirre et al. 2015, MNRAS

❖ Work with GARSTEC and BaSTI grids of models !

❖ Flexible input: averages, individual freqs., combinations…!

❖ Rev. Bayes in the core: priors, weighting, etc…

The basics:

Under the hood:

Page 8: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Asteroseismic dataHow does the seismic trick works:

Page 9: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Asteroseismic dataHow does the seismic trick works:

❖ The bare minimum: scaling relations (dwarfs and giants)

Page 10: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Asteroseismic dataHow does the seismic trick works:

❖ The bare minimum: scaling relations (dwarfs and giants)

❖ Improvements: individual frequencies (dwarfs for now)

Page 11: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Asteroseismic dataHow does the seismic trick works:

❖ The bare minimum: scaling relations (dwarfs and giants)

❖ Improvements: individual frequencies (dwarfs for now)

❖ Improvements: period spacing (giants)

Page 12: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Asteroseismic dataHow does the seismic trick works:

❖ The bare minimum: scaling relations (dwarfs and giants)

❖ Improvements: individual frequencies (dwarfs for now)

❖ Improvements: period spacing (giants)

Always need Teff and [Fe/H]

Page 13: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

The problem at hand

e.g., Nordström et al. 2004, A&A

Dwarfs:

Page 14: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

The problem at hand

e.g., Nordström et al. 2004, A&A

Dwarfs:

Page 15: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

The problem at hand

e.g., Nordström et al. 2004, A&A

Dwarfs:

Page 16: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Asteroseismic dataHow does the seismic trick works:

❖ The bare minimum: scaling relations (dwarfs and giants)!

❖ Improvements: individual frequencies (dwarfs for now)!

❖ Improvements: period spacing (giants)

Always need Teff and [Fe/H]

Page 17: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Asteroseismic data

νmax

Page 18: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Asteroseismic data

νmax

∆ν

Page 19: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Asteroseismic data

∆ν, νmax -> sensitive to #the mass and radius

of the star (p-modes)

νmax

∆ν

Page 20: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

The scaling relations

e.g. Basu et al. 2010, ApJGai et al. 2011, ApJ

Silva Aguirre et al. 2013, ApJ Chaplin et al. 2014, ApJS

In the following we trust:

Page 21: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

The scaling relations

e.g. Basu et al. 2010, ApJGai et al. 2011, ApJ

Silva Aguirre et al. 2013, ApJ Chaplin et al. 2014, ApJS

In the following we trust:

Ulrich 1986, ApJ

Kjeldsen & Bedding 1995, PASP

Page 22: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

The scaling relations

e.g. Basu et al. 2010, ApJGai et al. 2011, ApJ

Silva Aguirre et al. 2013, ApJ Chaplin et al. 2014, ApJS

In the following we trust:

Ulrich 1986, ApJ

Kjeldsen & Bedding 1995, PASP

Why?

Page 23: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Predictive power?

Huber et al. 2011, ApJ

Page 24: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Dwarf starsThe bare minimum:

Chaplin et al. 2014, ApJS

Temperature Composition

Δν νmax

Bayesian Magic

(BASTA, BeSPP)

Stellar Properties(R, M, Age, etc)

Page 25: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Dwarf stars

Chaplin et al. 2014, ApJS

Radii ~2.2%Mass ~5.5%Age ~25%

The bare minimum:

Page 26: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Asteroseismic dataHow does the seismic trick works:

❖ The bare minimum: scaling relations (dwarfs and giants)!

❖ Improvements: individual frequencies (dwarfs for now)!

❖ Improvements: period spacing (giants)

Always need Teff and [Fe/H]

Page 27: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Dwarf starsIndividual frequencies:

Page 28: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Dwarf stars

Davies et al. 2015, in prep.

Can we do better:

Page 29: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Individual FrequenciesModelData

l=0l=2l=1

Page 30: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Dwarf stars

Page 31: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Dwarf stars

Page 32: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Dwarf stars

❖ Cannot properly follow convection in 1D stellar models!

❖ Theoretical frequencies suffer from “surface effect”!

❖ Use combinations that cancel contribution from outer layers!

❖ Sensitive to the core (we understand it better)

Page 33: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Dwarf stars

ModelData

Temperature Composition frequencies

(combinations)

Bayesian Magic

(BASTA, BeSPP)

Stellar Properties(R, M, Age, etc)

Page 34: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Dwarf stars

Radii ~1.1%Masses ~3.3%Ages ~14%

Precision from frequency combinations:

see also: Lebreton & Goupil 2014, A&A

Silva Aguirre et al. 2015, MNRAS

Page 35: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Dwarf starsScaling v/s individual frequencies:

Ages ~14%33 stars

Ages ~25% ~580 stars

Chaplin et al. 2011, Science Silva Aguirre et al. 2015, MNRAS

Page 36: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Dwarf starsScaling v/s individual frequencies:

Chaplin et al. 2011, Science Silva Aguirre et al. 2015, in prep

Ages ~25% ~580 stars

Ages ~14%64 stars

Page 37: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Dwarf starsScaling v/s individual frequencies:

Silva Aguirre et al. 2015, MNRAS

Systematics below the statistical

uncertainties(Note: Δν from

individual frequencies)

Page 38: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

The problem at handGiants:

Page 39: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

The problem at handGiants:

Page 40: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Red giantsExample: spectroscopy

Data courtesy of A. Serenelli

Page 41: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Asteroseismic dataHow does the seismic trick works:

❖ The bare minimum: scaling relations (dwarfs and giants)!

❖ Improvements: individual frequencies (dwarfs for now)!

❖ Improvements: period spacing (giants)

Always need Teff and [Fe/H]

Page 42: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

The bare minimum

Page 43: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

The bare minimum

Page 44: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

The bare minimum

Page 45: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

The bare minimum

Page 46: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Red giantsExample: spectroscopy

Data courtesy of A. Serenelli

Page 47: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Red giants

Huber et al. 2013, Science

Note separation in l=1 modes

Page 48: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Red giants

Two distinct sequences according to evolutionary stage

Clump

RGB

Bedding et al. 2011, Nature

Page 49: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Red giantsi.e. SAGA (also APOKASC this year):

Data courtesy of A. Serenelli

Page 50: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Red giantsWhat we can obtain for giants (i.e. SAGA):

Casagrande et al. 2014, ApJ

Page 51: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Red giantsWhat we can obtain for giants (i.e. SAGA):

Casagrande, Silva Aguirre, Schlesinger, et al. 2015, Submitted

Page 52: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Red giantsWhat we can obtain for giants (i.e. SAGA):

Casagrande, Silva Aguirre, Schlesinger, et al. 2015, Submitted

Page 53: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Red giantsWhat we can obtain for giants (i.e. SAGA):

❖ Stellar radius ~2%!❖ Stellar mass ~6%!❖ Stellar age ~20%

Page 54: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Red giantsWhat we can obtain for giants (i.e. SAGA):

❖ Stellar radius ~2%!❖ Stellar mass ~6%!❖ Stellar age ~20%

Can we improve?

Page 55: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Asteroseismic dataHow does the seismic trick works:

❖ The bare minimum: scaling relations (dwarfs and giants)!

❖ Improvements: individual frequencies (dwarfs for now)!

❖ Improvements: period spacing (giants)

Always need Teff and [Fe/H]

Page 56: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Red giants

Two distinct sequences according to evolutionary stage

Clump

RGB

Bedding et al. 2011, Nature

Page 57: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

The added dimension

i.e. SAGA

Page 58: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

The added dimension

Page 59: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

The added dimension

Page 60: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Conclusions

Page 61: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Conclusions

❖ Ages to ~15% (dwarfs) and ~20% (giants)

Page 62: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Conclusions

❖ Ages to ~15% (dwarfs) and ~20% (giants)

❖ OK in dwarfs, need to work a bit more on giants

Page 63: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Conclusions

❖ Ages to ~15% (dwarfs) and ~20% (giants)

❖ OK in dwarfs, need to work a bit more on giants

❖ Validation of scaling relations are necessary

Page 64: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Conclusions

❖ Ages to ~15% (dwarfs) and ~20% (giants)

❖ OK in dwarfs, need to work a bit more on giants

❖ Validation of scaling relations are necessary

❖ Improvements: period spacings, use full PDFs

Page 65: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Conclusions

❖ Ages to ~15% (dwarfs) and ~20% (giants)

❖ OK in dwarfs, need to work a bit more on giants

❖ Validation of scaling relations are necessary

❖ Improvements: period spacings, use full PDFs

❖ We need to get a handle on mass-loss

Page 66: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Conclusions

❖ Ages to ~15% (dwarfs) and ~20% (giants)

❖ OK in dwarfs, need to work a bit more on giants

❖ Validation of scaling relations are necessary

❖ Improvements: period spacings, use full PDFs

❖ We need to get a handle on mass-loss

❖ Future looks bright: K2, TESS, PLATO

Page 67: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Conclusions

❖ Ages to ~15% (dwarfs) and ~20% (giants)

❖ OK in dwarfs, need to work a bit more on giants

❖ Validation of scaling relations are necessary

❖ Improvements: period spacings, use full PDFs

❖ We need to get a handle on mass-loss

❖ Future looks bright: K2, TESS, PLATO

❖ Asteroseismology can deliver!

Page 68: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Conclusions

Casagrande, Silva Aguirre, Schlesinger, et al. 2015, Submitted

Seismic age-metallicity relation (SAGA):

Page 69: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Ages for dwarfs and giantsfrom asteroseismology

Bad Honnef, June 1st 2015

Summary of the previous meeting

Víctor Silva Aguirre!Aldo Serenelli

Page 70: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

AppendixSystematic uncertainties (dwarfs)

❖ Radius ~1.1%!

❖ Mass ~3.3%!

❖ Age ~14%

Statistical Physics

❖ Radius ~0.7%!

❖ Mass ~2.3%!

❖ Age ~9.6%

Fitting Algo.

❖ Radius ~1.6%!

❖ Mass ~3.6%!

❖ Age ~16.8%

Page 71: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Silva Aguirre, Casagrande, et al. 2012, ApJ

2.3 ± 1.8%

Appendix22 dwarfs with accurate parallaxes

Page 72: Ages for dwarfs and giants - Meetings (Indico) · 2015-06-29 · Improvements: period spacing (giants) Always need Teff and [Fe/H] The bare minimum. The bare minimum. The bare minimum

Huber et al. 2012, ApJ 2.0 ± 4.8%

Appendix10 stars with interferometric measurements

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Appendix

Johnson et al. 2014, ApJ

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Appendix

Courtesy of A. Serenelli

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Appendix

Kallinger et al. 2012, A&A

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Individual frequencies?

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Appendix

Dogan et al. 2013, ApJ