Survey
* Your assessment is very important for improving the work of artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the work of artificial intelligence, which forms the content of this project
Precision stellar physics from the ground Andrzej Pigulski University of Wrocław, Poland Special Session #13: High-precision tests of stellar physics from high-precision photometry Asteroseismology: satellite observatories Satellite WIRE (tracker) MOST CoRoT Kepler Launch 1999 2003 2006 2009 Tel. diam. [cm] 5.2 15 27 90/140 9 - 16 V range <4 <6 5.5 - 9 (sei.) 11.5 - 16 (plan.) Typical precision* (single meas.) [ppm] 200 70 150 200 Detection threshold [ppm]** 80 20 3 3 * bright star, ~1-min (stacked) integration, ** for one-month long observations Ground-based observing campaigns DUTY CYCLE < 60%, typically ~20% DETECTION THRESHOLD > 0.08 mmag, typically ~1 mmag In comparison with satellite data: lower duty cycle, worse detection threshold Ground-based observing campaigns NGC 6910 campaign: single-site data, 81 observing nights Aliasing problem Observations: satellite vs. ground-based SATELLITE DATA: •high duty cycle (up to ~100%), •outstanding precision, •low noise at low frequencies. LIGHT CURVE SPB star HD 43317, CoRoT Pápics et al. (2012) FREQUENCY SPECTRUM Do we still need ground-based photometry ? Asteroseismology: how it works? ASTEROSEISMOLOGY Photometric observations provide: • frequencies, • amplitudes, • phases. Mode ID of the remaining modes Stability check Constraints on internal rotation, overshooting, ... RVs line profiles global parameters Frequency matching Mode identification: quantum numbers ℓ,m,n Evolutionary & puls. models, theoretical frequencies Asteroseismology: how modes are identified? How modes are identified? 1. asymptotic relations & rotational splitting 2. period ratios 3. multicolour photometry and/or spectroscopy (many mode ID methods) Mode ID: asymptotic relations driving mechanism: - self-excited pulsations, - stochastically excited pulsations (solar-like) character: - p modes (acoustic) - g modes (gravity) asymptotic relations (for a given ℓ): solar-like oscillations p modes: equidistant in frequency g modes: equidistant in period J.Christensen-Dalsgaard Mode ID: asymptotic relations The Sun SOHO/VIRGO Bedding & Kjeldsen (2003) Mode ID: asymptotic relations Δν = large separation δν02 = small separation Chaplin et al. (2010) Mode ID: asymptotic relations echelle diagram: frequency vs. frequency modulo large separation ℓ= 2 0 White et al. (2011) 1 20 3 1 Bedding et al. (2010) Mode ID: asymptotic relations asymptotic relations (for a given ℓ): p modes: equidistant in frequency g modes: equidistant in period rotational splitting: multiplets with (2ℓ+1) components pulsating (pre)white dwarfs + hot subdwarfs solar-like oscillations J.Christensen-Dalsgaard Mode ID: asymptotic relations PG 1159 star RXJ 2117+3412 Average period spacing = 21.618 s ℓ = 1 modes Vauclair et al. (2002) Mode ID: asymptotic relations Pulsating hot subdwarf KIC 5807616 Average period spacing = 242.12 s ℓ = 1 modes Reed et al. (2011) Average period spacing = 139.13 s ℓ = 2 modes blue = observed Mode ID: rotational splitting Pulsating hot subdwarf KIC 10139564 ℓ=2 ℓ=1 Baran et al. (2012) Asteroseismology: how modes are identified? How modes are identified? 1. asymptotic relations & rotational splitting 2. period ratios 3. multicolour photometry and/or spectroscopy (many mode ID methods) Mode ID: period ratios classical pulsators period ratios: double/triple-mode pulsators, radial modes pulsating (pre)white dwarfs + hot subdwarfs solar-like oscillations J.Christensen-Dalsgaard Mode ID: period ratios 3O/2O Data: OGLE (LMC) Soszyński et al. (2008, 2010), Poleski et al. (2010) 2O/1O CEPHEIDS HADS RRd 1O/F 3O/1O Asteroseismology: how modes are identified? How modes are identified? 1. asymptotic relations & single-band (satellite) photometry is rotational splitting sufficient for applying 1 and 2 2. period ratios 3. multicolour photometry and/or spectroscopy (many mode ID methods) Mode ID: multicolour photometry & spectroscopy driving mechanism: main-sequence pulsators + hot subdwarfs - self-excited pulsations, - stochastically excited pulsations (solar-like) classical pulsators character: - p modes (acoustic) - g modes (gravity) multicolour photometry & spectroscopy main-sequence pulsators + hot subdwarfs pulsating (pre)white dwarfs + hot subdwarfs solar-like oscillations J.Christensen-Dalsgaard Mode ID: multicolour photometry & spectroscopy Diagnostic diagrams: Amplitude ratio vs. phase difference Cugier et al. (1994) Mode ID: multicolour photometry & spectroscopy Diagnostic diagrams: Amplitude ratio (RV/phot.) vs. amplitude ratio (colour/band) Cugier et al. (1994) Mode ID: multicolour photometry & spectroscopy Diagnostic diagrams: β Cephei star ν Eridani: goodness-of-fit parameter χ2 vs. ℓ 0 1 0,1,3 1 1 1 1,2,3 2,5 Daszyńska-Daszkiewicz & Walczak (2010) 1,2 Mode ID: multicolour photometry & spectroscopy Kepler β Cephei/SPB hybrids Balona et al. (2011) Mode ID: multicolour photometry & spectroscopy The methods using multicolour photometry and spectroscopy for mode ID require ground-based data. A lot of interesting physics to study: - internal (core) rotation, amount of overshooting from the core, diffusion, testing stellar opacities. An example: Z-effect Rudolph et al. 2006 Pamyatnykh 1999 Physics to probe β Cephei star ν Eridani Daszyńska-Daszkiewicz & Walczak (2010) Asteroseismology: how it works? ASTEROSEISMOLOGY Photometric observations provide: • frequencies, • amplitudes, • phases. Mode ID of the remaining modes Stability check Constraints on internal rotation, overshooting, ... RVs line profiles global parameters Frequency matching Mode identification: quantum numbers Evolutionary & puls. models, theoretical frequencies Ground-based vs. satellite SATELLITE: •higher duty cycle (up to ~100%), •better precision, •low noise at low frequencies (?). GROUND-BASED: •cheaper, •multicolour photometry (exc. BRITE, however), •spectroscopy, •all sky available. Do we still need ground-based photometry ? YES, WE DO... β Cephei stars: ASAS contribution Kepler field CoRoT „eyes” (Southern) ASAS sky: δ < +28°, ~300 new β Cephei stars Pigulski & Pojmański (2010) Conclusions 1.Ground-based and satellite data are complementary. • Ground-based data are crucial for characterization of all and asteroseismology of some stars. • There are good prospects for testing stellar physics and stellar interiors with ground-based data.