The P-L-relations on the AGB. Learning outcome Knowledge of the observed P-L-relations for AGB stars Knowledge of the interpretation of the various sequences.

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Presentation transcript:

The P-L-relations on the AGB

Learning outcome Knowledge of the observed P-L-relations for AGB stars Knowledge of the interpretation of the various sequences Knowledge of the relation between P-L and other parameters

Why? L ~ R² T eff 4  ~ 1/R³ (for M const) L ~ 1/  2/3  Period – Luminosity Relation

Miras Field stars Observed logP-colour relation (at  0.25) Combine with colour- luminosity relation M bol = +0.5 mag – 2.25 log P Eggen (1975)

Miras Robertson & Feast 1981

Miras - LMC Wood et al. 1983

Miras - LMC Feast et al K = 19.7 mag – 3.57 log P M bol = mag – 2.34 log P

PC- and PLC-relation Period-Colour-Relation O-rich: (J-K) = 0.56 log P – 0.12 C-rich: (J-K) = 2.32 log P – 3.77 Period-Luminosity-Colour-Relation (LMC) O-rich: K = log P + 2(J-K) C-rich: K = log P -0.14(J-K) Feast et al. 1989

Bedding & Zijlstra 1998 SRVs

Long period variables - LMC Wood et al. 1999

Long period variables - LMC Ita et al OGLE/SIRIUS survey J-K: temp / chemistry theta: lc regularity F, G: Cepheids LMC SMC

Long period variables - LMC Ita et al OGLE/SIRIUS survey

Wood 2007

P-L and amplitude I-band amplitudes from OGLE Kiss & Bedding 2003

Sequence E Soszynski et al ellipsoidal/eclipting variables confirmed from rv variations

Sequence D Wood et al Origin? binary rotation of spotted star non-radial pulsation episodic dust formation no satisfying solution yet

LPVs in Clusters 47 Tuc Lebzelter & Wood 2005

Linear/non-linear models Wood 2007

LPVs in Clusters NGC 1846 (LMC cluster) Lebzelter & Wood 2007

Lebzelter et al. 2005

P-L-relations in comparison Glass & van Leeuwen 2007

Other P-L-studies Glass et al (Galactic Bulge) Groenewegen & Whitelock 1996 (Field) Cioni et al (LMC) Noda et al (LMC) Lebzelter et al (LMC) Rejkuba et al (Cen A) Groenewegen 2004 (MCs) Schultheis et al (MCs, Bulge) Fraser et al (LMC)

Distance determination Using the relation by Feast et al with Zero-Point = 1.0: ObjectAGB dist.Other dist. LMC18.48 m ±0.1 m m (Cep) LMC - SMC0.4 m 0.44 m (RGB-Tip) Gal. Centre8.5±0.7 kpc8.5±0.5 kpc (Cep) Cen A28.0 m ±0.2 m 27.9 m ±0.2 m (RGB-Tip) Feast 2004