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Rotation of KIC 11145123. Takashi Sekii Division of Solar and Plasma Astrophysics and Hinode Science Center NAOJ. …in collaboration with Don Kurtz Hideyuki Saio Masao Takata Hiromoto Shibahashi & Simon Murphy Kurtz et al. (2014). The talk is about.
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Rotation of KIC 11145123 Takashi Sekii Division of Solar and Plasma Astrophysics and Hinode Science Center NAOJ
…in collaboration with Don Kurtz Hideyuki Saio Masao Takata Hiromoto Shibahashi & Simon Murphy Kurtz et al. (2014)
The talk is about • Asteroseismic inference on rotation of a terminal-age main-sequence star KIC11145123 • The star exhibits both p-mode oscillations and g-mode oscillations • The star is almost a rigid rotator • The envelope however is rotating slightly faster HELAS VI@Göttingen 4 Sep 2014
KIC11145123 • A late A star • Kepler magnitude Kp=13 • Huber et al. (2014) • Effective temperature: Teff = 8050±200 K • Surface gravity: log g = 4.0±0.2 (g in cgs) HELAS VI@Göttingen 4 Sep 2014
Oscillations of KIC11145123 • Kepler quarters 0-16, long cadence, 1340-day long Amplitude spectrum HELAS VI@Göttingen 4 Sep 2014
Oscillations of KIC11145123 • Kepler quarters 0-16, long cadence, 1340-day long P-mode range G-mode range HELAS VI@Göttingen 4 Sep 2014
Oscillations of KIC11145123 • It is a δ Sct-γ Dor hybrid • From the numerous peaks the following modes were selected for modelling • 5 p modes (1 singlet, 2 triplets & 2 quintuplets) • The singlet is of the highest amplitude • 15 g-mode triplets • High overtones with the mean period spacing ν1=17.964 d-1 ΔPg=0.0024 d HELAS VI@Göttingen 4 Sep 2014
Modelling KIC 11145123 • The low value of ΔPg indicates that the star is in an advanced stage of evolution HELAS VI@Göttingen 4 Sep 2014
Modelling KIC 11145123 • The strategy • Match ΔPg and then match ν1 • Then see how well the other modes fit HELAS VI@Göttingen 4 Sep 2014
Modelling KIC 11145123 • The best model • M=1.46M • Has a convective core (r〜0.05R) • Z=0.01, Y=0.36 • Helium abandunce high • Too faint and too cool for the KIC parameters HELAS VI@Göttingen 4 Sep 2014
Rotational shift of frequencies HELAS VI@Göttingen 4 Sep 2014
Nearly a rigid rotator • The g-mode splittings show very small scattering • Δfg=0.0047562±0.0000023 d-1 (average) • Implies a rigid rate of about 0.0095 d-1 (in rotational frequency) • Cnl→1/2 for dipole g modes • The p-mode shifts are more or less consistent with this rate too • Cnl→0 for p modes • However… HELAS VI@Göttingen 4 Sep 2014
Rotational shift of frequencies HELAS VI@Göttingen 4 Sep 2014
Core vs envelope • The envelope seems to be rotating slightly faster since… • Δfg=0.0047562±0.0000023 d-1 (average) • Δfp=1.0101560±0.0000025 d-1 (l=1, n=3) • Δfp-2Δfg>0 • Note that • Ωp/2π>Δfp (lower bound) • Ωg/2π<2Δfg (upper bound) HELAS VI@Göttingen 4 Sep 2014
Two-zone modelling • Fitting the following form • …not even to individual splittings, but to the p- and g-averaged splittings HELAS VI@Göttingen 4 Sep 2014
Two-zone modelling Solid: g-mode kernel Dotted: p-mode kernel Step functions: two-zone models Good separation between regions sampled by two kernels HELAS VI@Göttingen 4 Sep 2014
Two-zone modelling • Averaging kernel (rb=0.3R) Solid: avg krn for Ω1 Dotted: avg krn for Ω2 ‘Localization’ fairly good and small dips do not affect the conclusion HELAS VI@Göttingen 4 Sep 2014
Discussions (2/1) • The modelling uncertainty does worry us, but it does NOT affect the main inferences on the rotation • The nearly rigid rotation suggests a strong angular momentum transport • It is UNLIKELY that the star is strongly magnetic HELAS VI@Göttingen 4 Sep 2014
Discussions (2/2) • If the envelope as a whole is rotating faster, why? • Angular transport by waves? A viscosity-type mechanism cannot spin the outside up over the internal rate • Mass accretion? • Also to explain the high He abandunce • One unexplored issue: what is the least exotic 2-d rotation profile consistent with data? HELAS VI@Göttingen 4 Sep 2014
Summary • A terminal-age main-sequence A star KIC11145123 exhibit both p-mode oscillations and g-mode oscillations • This permits us to examine the core rotation and the envelope rotation separately • The star is almost a rigid rotator • The envelope however is rotating slightly faster ‘on average’ • There are implications on angular momentum transport mechanism HELAS VI@Göttingen 4 Sep 2014