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Seminar - Asteroseismology & Applied Statistics

Bb1020684e201eef0a2b34f8f7ab214d?s=47 Oliver Hall
November 06, 2019

Seminar - Asteroseismology & Applied Statistics

In this seminar, given at the University of Exeter, I provide an introduction to asteroseismic analysis with modern space-based photometry, and give two examples from my research on how it can be coupled with advanced statistical techniques to provide a diverse range of inferences.

This is a slightly abridged version of the presentation; I have removed a plot showing preliminary unpublished results, and added in two figures that I did not have the space for during the seminar.

Bb1020684e201eef0a2b34f8f7ab214d?s=128

Oliver Hall

November 06, 2019
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  1. Asteroseismology & Applied Statistics Oliver J. Hall University of Exeter

    6 November 2019
  2. 6 Nov 2019 O. J. Hall Seminar - U. of

    Exeter
  3. 6 Nov 2019 O. J. Hall Seminar - U. of

    Exeter
  4. 6 Nov 2019 O. J. Hall Seminar - U. of

    Exeter 1. Asteroseismology 2. Application 3. What’s next?
  5. 6 Nov 2019 O. J. Hall Seminar - U. of

    Exeter Asteroseismology the study of stellar oscillations Credit: asterostep.eu
  6. 6 Nov 2019 O. J. Hall Uni & Type CoRoT

    2006 - 2013 Kepler 2009 - 2013 K2 2013 - 2019 TESS 2018 - 2020++
  7. 6 Nov 2019 O. J. Hall Seminar - U. of

    Exeter
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    Exeter
  9. 6 Nov 2019 O. J. Hall Uni & Type

  10. 6 Nov 2019 O. J. Hall Acoustic (Pressure) p-modes Buoyant

    (Gravity) g-modes Credit: Don Kurtz Seminar - U. of Exeter
  11. 6 Nov 2019 O. J. Hall Uni & Type

  12. 6 Nov 2019 O. J. Hall Seminar - U. of

    Exeter
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    Exeter 2 0 1 2 0 1
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    Exeter νmax
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    Exeter < Δν >
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    Exeter R R⊙ ≃ ( νmax νmax⊙ ) ( Δν Δν⊙ ) −2 ( Teff Teff⊙ ) 1/2 , M M⊙ ≃ ( νmax νmax⊙ ) 3 ( Δν Δν⊙ ) −4 ( Teff Teff⊙ ) 3/2
  17. 6 Nov 2019 O. J. Hall Seminar - U. of

    Exeter R R⊙ ≃ ( νmax νmax⊙ ) ( Δν Δν⊙ ) −2 ( Teff Teff⊙ ) 1/2 , M M⊙ ≃ ( νmax νmax⊙ ) 3 ( Δν Δν⊙ ) −4 ( Teff Teff⊙ ) 3/2 ,
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    Exeter Asteroseismology Mass, Radius, Surface Gravity (and therefore distances) Frequency Analysis Stellar Rotation & Inclination, interior inversion νmax Δν + + Teff Stellar Models Age, Chemical Mixing, Improved Mass, Radius
  19. 6 Nov 2019 O. J. Hall Uni & Type Applications:

    The Red Clump Asteroseismology can calibrate standard candles
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    Exeter Credit: Gaia Data Release 1, ESA
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    Exeter
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    Exeter Seismic parallax (mas) Apparent K-band mag Figure 2, Davies+17 TGAS parallax (mas) Asteroseismology can identify the Clump!
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    Exeter Question: How can we expand on this?
  24. 6 Nov 2019 O. J. Hall Answer: Study population properties!

    (using fancy hierarchical models) Seminar - U. of Exeter
  25. 6 Nov 2019 O. J. Hall Seminar - U. of

    Exeter μ σ Q σo ̂ Mi σ ̂ Mi Model Population
  26. 6 Nov 2019 O. J. Hall Seminar - U. of

    Exeter == Lets use this! Population Individual stars (5 / 5576)
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    Exeter μ σ Q σo Mi ̂ Mi σ ̂ Mi Model True Population Individual stars (5 / 5576)
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    Exeter Figure 3, Hall+19
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    Exeter Figure 8, Hall+19
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    Exeter 30 ~ -70 K Reconciling Gaia & Kepler
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    Exeter Applications: Internal Rotation Asteroseismology can tell us about fundamental stellar physics
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    Exeter Figure 1, Meibom+15
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    Exeter Figure 1, van Saders+16
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    Exeter Figure 2, van Saders+16
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    Exeter Question: How can seismology contribute?
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    Exeter Answer: Measuring internal rotation! Asteroseismology obtains independent age and rotation
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    Exeter
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    Exeter Period
  39. 6 Nov 2019 O. J. Hall Uni & Type

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    Exeter
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    Exeter
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    Exeter
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    Exeter Future Work Model the RC luminosity as depending on multiple parameters, e.g. , , colour [Fe/H] [α/Fe] ~ Chan & Bovy 2019
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    Exeter Source: Oliver’s hopeful grant applications, 2019
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    Exeter Credit: Ethan Kruse
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    Exeter CoRoT Kepler K2 TESS PLATO! Data: NASA ADS
  47. 6 Nov 2019 O. J. Hall Seminar - U. of

    Exeter CoRoT Kepler K2 TESS PLATO! Data: NASA ADS
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    Exeter In summary: Asteroseismology coupled with fancy statistics can provide independent inference, e.g. for: - Calibrating parallaxes & stellar model systematics - Building standard candle relations - Probing stellar rotation - (hopefully) discovering new stellar phsyics!