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Seminar - Asteroseismology & Applied Statistics

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This is a slightly abridged version of the presentation; I have removed a plot showing preliminary unpublished results, and added in two figures that I did not have the space for during the seminar.

Oliver Hall

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

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

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

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  4. 6 Nov 2019
    O. J. Hall
    Seminar - U. of Exeter
    1. Asteroseismology
    2. Application
    3. What’s next?

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  5. 6 Nov 2019
    O. J. Hall
    Seminar - U. of Exeter
    Asteroseismology
    the study of stellar oscillations
    Credit: asterostep.eu

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  6. 6 Nov 2019
    O. J. Hall
    Uni & Type
    CoRoT
    2006 - 2013
    Kepler
    2009 - 2013
    K2
    2013 - 2019
    TESS
    2018 - 2020++

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  7. 6 Nov 2019
    O. J. Hall
    Seminar - U. of Exeter

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  8. 6 Nov 2019
    O. J. Hall
    Seminar - U. of Exeter

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

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  10. 6 Nov 2019
    O. J. Hall
    Acoustic (Pressure)
    p-modes
    Buoyant (Gravity)
    g-modes
    Credit: Don Kurtz
    Seminar - U. of Exeter

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  11. 6 Nov 2019
    O. J. Hall
    Uni & Type

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

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  13. 6 Nov 2019
    O. J. Hall
    Seminar - U. of Exeter
    2 0
    1
    2 0
    1

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  14. 6 Nov 2019
    O. J. Hall
    Seminar - U. of Exeter
    νmax

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  15. 6 Nov 2019
    O. J. Hall
    Seminar - U. of Exeter
    < Δν >

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  16. 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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  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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  18. 6 Nov 2019
    O. J. Hall
    Seminar - U. of 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

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  19. 6 Nov 2019
    O. J. Hall
    Uni & Type
    Applications: The Red Clump
    Asteroseismology can calibrate
    standard candles

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  20. 6 Nov 2019
    O. J. Hall
    Seminar - U. of Exeter
    Credit: Gaia Data Release 1, ESA

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  21. 6 Nov 2019
    O. J. Hall
    Seminar - U. of Exeter

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  22. 6 Nov 2019
    O. J. Hall
    Seminar - U. of Exeter
    Seismic parallax (mas)
    Apparent K-band mag
    Figure 2, Davies+17
    TGAS parallax (mas)
    Asteroseismology can identify the Clump!

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  23. 6 Nov 2019
    O. J. Hall
    Seminar - U. of Exeter
    Question: How can we expand on this?

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  24. 6 Nov 2019
    O. J. Hall
    Answer: Study population
    properties!
    (using fancy hierarchical models)
    Seminar - U. of Exeter

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  25. 6 Nov 2019
    O. J. Hall
    Seminar - U. of Exeter
    μ σ Q σo ̂
    Mi
    σ ̂
    Mi
    Model Population

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  26. 6 Nov 2019
    O. J. Hall
    Seminar - U. of Exeter
    ==
    Lets use this!
    Population Individual stars
    (5 / 5576)

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  27. 6 Nov 2019
    O. J. Hall
    Seminar - U. of Exeter
    μ σ Q σo Mi
    ̂
    Mi
    σ ̂
    Mi
    Model
    True
    Population
    Individual stars
    (5 / 5576)

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  28. 6 Nov 2019
    O. J. Hall
    Seminar - U. of Exeter
    Figure 3, Hall+19

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  29. 6 Nov 2019
    O. J. Hall
    Seminar - U. of Exeter
    Figure 8, Hall+19

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  30. 6 Nov 2019
    O. J. Hall
    Seminar - U. of Exeter
    30
    ~ -70 K
    Reconciling Gaia & Kepler

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  31. 6 Nov 2019
    O. J. Hall
    Seminar - U. of Exeter
    Applications: Internal Rotation
    Asteroseismology can tell us about
    fundamental stellar physics

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  32. 6 Nov 2019
    O. J. Hall
    Seminar - U. of Exeter
    Figure 1, Meibom+15

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  33. 6 Nov 2019
    O. J. Hall
    Seminar - U. of Exeter
    Figure 1, van Saders+16

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  34. 6 Nov 2019
    O. J. Hall
    Seminar - U. of Exeter
    Figure 2, van Saders+16

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  35. 6 Nov 2019
    O. J. Hall
    Seminar - U. of Exeter
    Question: How can seismology
    contribute?

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  36. 6 Nov 2019
    O. J. Hall
    Seminar - U. of Exeter
    Answer: Measuring internal rotation!
    Asteroseismology obtains independent
    age and rotation

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  37. 6 Nov 2019
    O. J. Hall
    Seminar - U. of Exeter

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  38. 6 Nov 2019
    O. J. Hall
    Seminar - U. of Exeter
    Period

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  39. 6 Nov 2019
    O. J. Hall
    Uni & Type

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  40. 6 Nov 2019
    O. J. Hall
    Seminar - U. of Exeter

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  41. 6 Nov 2019
    O. J. Hall
    Seminar - U. of Exeter

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  42. 6 Nov 2019
    O. J. Hall
    Seminar - U. of Exeter

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  43. 6 Nov 2019
    O. J. Hall
    Seminar - U. of 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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  44. 6 Nov 2019
    O. J. Hall
    Seminar - U. of Exeter
    Source: Oliver’s hopeful
    grant applications, 2019

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  45. 6 Nov 2019
    O. J. Hall
    Seminar - U. of Exeter
    Credit: Ethan Kruse

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  46. 6 Nov 2019
    O. J. Hall
    Seminar - U. of Exeter
    CoRoT
    Kepler
    K2
    TESS
    PLATO!
    Data: NASA ADS

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  47. 6 Nov 2019
    O. J. Hall
    Seminar - U. of Exeter
    CoRoT
    Kepler
    K2
    TESS
    PLATO!
    Data: NASA ADS

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  48. 6 Nov 2019
    O. J. Hall
    Seminar - U. of 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!

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