Stars and magnetic activity Heidi Korhonen Astrophysikalisches Institut Potsdam

Outline Stars General properties Rotation Stellar activity Solar Light curve inversions Doppler imaging Principle Requirements Results

Spectral classification 1 Morgan-Keenan spectral classification Colour M R L Spectral lines O 30 000-60 000 K Blue 60 15 1 400 000 Ionized atoms, especially helium B 10 000-30 000 K Blue-white 18 7 20 000 Neutral helium, some hydrogren A 7500-10 000 K White 3.2 2.3 80 Strong hydrogen, some ionized metals F 6000-7500 K Yellow-white 1.7 1.3 6 Hydrogen and ionized metals, such as calcium and iron G 5000-6000 K Yellow 1.0 Ionized calcium and both neutral and ionized metals K 3500-5000 K Orange 0.9 0.4 Neutral metals 2500-3500 K Red 0.04 Strong molecules, e.g., titanium oxide and some neutral calcium EARLY --- LATE

Spectral classification 2

Luminosity class 1 A number of different luminosity classes are distinguished: Ia most luminous supergiants Ib less luminous supergiants; II bright giants III normal giants IV subgiants V main sequence stars (dwarfs)

Luminosity class 2

Internal structure of the Sun Other stars have different configurations in their interiors

Stellar rotation Main sequence: Early-type stars (O, B and A) have large rotational velocities, typically between 100 and 200 km/sec At spectral type F, there is a rapid decline from about 100 km/sec at F0 to 10 km/sec at G0. The Sun (G2) rotates at about 2 km/sec Reder stars have usually rorational velocity of 1 km/sec and slower At ZAMS all stars rotate rapidly, but the late type stars brake fast during the first ~ tens of millions of years At main sequence cool stars enter a weak braking face that lasts billions of years

-dynamo The -effect SOHO Solar magnetic field is generated by a magnetic dynamo within the Sun In the -effect the fields are stretched out and wound around the Sun by differential rotation Twisting of the magnetic filed lines is caused by the effects of the Sun‘s rotation, so called -effect

Magnetic activity SOHO

Solar photosphere SST

Solar cycle Solar activity has on average 11 year cycle, with polarity change 22 years First spots of the new cycle at latitude 30-35, last spots of the cycle within 10 of the equator  butterfly diagram

Solar chromosphere NOAA/SEL/USAF

Flares SOHO

Solar corona SOHO

Stellar photosphere Long-term V band photometry of FK Com (Korhonen et al. 2001) Phased light-curves for 1990-1993 and results from light-curve inversions Korhonen et al. 2002

Stellar chromosphere Observed for example with: H Ca II H&K Mg II h & k certain ion lines Most famous study of stellar chromospheres is the Mt. Wilson HK survey Started by Olin Wilson in mid 1960‘s Has monitored hundred stars continuosly since then In total more than 400 stars monitored, both dwarfs and giants

HK Survey 1 If we place the slit of a spectrograph across the surface of the Sun, we can trace the change in the emission of the calcium K line. The size and extent of chromospheric active regions on the Sun varies dramatically over the course of the activity cycle.

HK Survey 2 HD 16160 Spectral type K3V Cycle length 13.2 yrs HD 101501 Spectral type G8V No cycles, but variability HD 9562 Spectral type G2V Flat

Stellar corona Surface fields from the Zeeman-Doppler imaging maps Coronal fields extrapolated from the surface fields Here example for AB Dor: ZDI Donati et al Coronal extrapolation Jardine et al

Light-curve inversions

Doppler imaging In Doppler imaging the distortions appearing in the observed line profile due to the presence of spots and moving due to the stellar rotation Ill-posed inversion problem Many methods for solving: aximum Entropy Method (e.g., Vogt et al 1987 ), Tikhonov Regularization (e.g., Piskunov et al 1990), Occamian Approach (Berdyugina 1998), Principal Components Analysis (Savanov & Strassmeier 2005) From Svetlana Berdyugina

Requirements Instrumentation High spectral resolution High signal-to-noise ratio Object Good phase coverage (convenient rotation period) Rapid rotation Not too long exposure time (bright) Something to map!

vsini Simulations by Silva Järvinen Vsini = 45 km/s Vsini = 30 km/s Resolution: 250 000 S/N: infinite Phases: 20

Phase smearing During the observations the star rotates and the bump moves in the lineprofile The bump signal will be smeared Integration time should be as short as possible: t0.01Prot Examples: Prot = 20 days t > 4.5 hours Prot = 5 days t  70 minutes Prot = 2 days t  30 minutes Prot = 0.5 days t  7 minutes

Results FK Com: Korhonen et al 2004 II Peg: Berdyugina et al 1998 ² CrB: Strassmeier & Rice 2003