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Asteroseismology of solar-type stars. J ørgen Christensen-Dalsgaard Institut for Fysik og Astronomi, Aarhus Universitet Dansk AsteroSeismologisk Center. Solarlike pulsators. Mode damping. Damping rate: amplitude / exp( h t), with.
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Asteroseismology of solar-type stars Jørgen Christensen-Dalsgaard Institut for Fysik og Astronomi, Aarhus Universitet Dansk AsteroSeismologisk Center
Mode damping Damping rate: amplitude / exp(h t), with Perturbation in convective flux and effect of turbulent pressure perturbation d pt appear to yield negative h, i.e., damped modes
Characteristics of solar-like oscillations • Intrinsically damped by the effects of convection • Stochastically excited by the effects of convection • Typically very small amplitudes (20 cm/sec or 5 ppm for main-sequence stars) Found in stars that are not very solar-like
Large frequency separation: Asymptotics of low-degree p modes
Echelle diagram Present Sun
Now: the start of solar-like asteroseismology a Cen A (Bedding et al. 2004; ApJ 614, 380)
ESO 3.6 m + HARPS + HARPS clone? The observational breakthrough Very stable spectrographs, motivated by search for exo-planets ESO Very Large Telescope UVES spectrograph
The slightly out-of-date situation Bedding & Kjeldsen (2003; Publ. Astron. Soc. Australia 20, 203)
α Centauri A Observations with UVES on VLT (Butler et al, 2004; ApJ 600, L75)
α Centauri A VLT(UVES) and AAT(UCLES) optimally combined Bedding et al. (2004; ApJ 614, 380)
α Centauri B UVES (VLT) and UCLES (AAT) Kjeldsen et al. (2005; submitted to ApJ)
Classical observables (a) Pourbaix et al. (2002; Astron. Astrophys. 386, 280) (b) Pijpers (2003; Astron. Astrophys. 400, 241) (c) Kervella et al. (2003; Astron. Astrophys. 404 1087)
Fitting the α Cen system Observable quantities for the system Model parameters: Fit using Marquardt method, with centred differences, using an 8-processor Linux cluster, implemented by T. C. Teixeira Choice of oscillation variables, from Bedding et al. fits to Butler et al. observations:
α Centauri system MA: 1.11111 M¯ MB: 0.92828 M¯ X0: 0.71045 Z0: 0.02870 Age: 6.9848 Gyr OPAL EOS, OPAL96 opacity, He, Z settling (Teixeira et al.)
A borderline case Best-fit model Model with convective core
Model problems? α Centauri A
Observed power spectrum Kjeldsen et al. (1995; AJ 109, 1313)
Pre-Hipparcos Post-Hipparcos 1.66 M¯ 1.6 M¯ Evolutionary state Christensen-Dalsgaard et al. (1995; ApJ 443, L29)
N, Boo S2 N, Sun S1 Mode trapping
Echelle diagram ◦: 0 ∆ : 1 □ : 2 ◊ : 3 Di Mauro et al. (2003; Astron. Astrophys. 404, 341)
Miras Semiregular variables Semiregular variables AAVSO observations. Mattei et al. (1997; ESA SP-402, 269)
Statistics of stochastically excited oscillators Energy is exponentially distributed. Hence amplitude distribution is Christensen-Dalsgaard et al. (2001; ApJ 562, L141)
AGB RGB Large-scale surveys OGLE-II observations of LMC Kiss & Bedding (2003; MNRAS 343, L79) (Colour indicates J - K)