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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 on theme: "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."— Presentation transcript:

1 The P-L-relations on the AGB

2 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

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

4 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)

5 Miras Robertson & Feast 1981

6 Miras - LMC Wood et al. 1983

7 Miras - LMC Feast et al. 1989 K = 19.7 mag – 3.57 log P M bol = 19.86 mag – 2.34 log P

8 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 = -4.58 log P + 2(J-K) + 19.71 C-rich: K = -2.88 log P -0.14(J-K) +18.22 Feast et al. 1989

9 Bedding & Zijlstra 1998 SRVs

10 Long period variables - LMC Wood et al. 1999

11 Long period variables - LMC Ita et al. 2004 OGLE/SIRIUS survey J-K: temp / chemistry theta: lc regularity F, G: Cepheids LMC SMC

12 Long period variables - LMC Ita et al. 2004 OGLE/SIRIUS survey

13 Wood 2007

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

15 Sequence E Soszynski et al. 2004 ellipsoidal/eclipting variables confirmed from rv variations

16 Sequence D Wood et al. 2004 Origin? binary rotation of spotted star non-radial pulsation episodic dust formation no satisfying solution yet

17 LPVs in Clusters 47 Tuc Lebzelter & Wood 2005

18 Linear/non-linear models Wood 2007

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

20 Lebzelter et al. 2005

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

22 Other P-L-studies Glass et al. 1995 (Galactic Bulge) Groenewegen & Whitelock 1996 (Field) Cioni et al. 2001 (LMC) Noda et al. 2002 (LMC) Lebzelter et al. 2002 (LMC) Rejkuba et al. 2003 (Cen A) Groenewegen 2004 (MCs) Schultheis et al. 2004 (MCs, Bulge) Fraser et al. 2005 (LMC)

23 Distance determination Using the relation by Feast et al. 1989 with Zero-Point = 1.0: ObjectAGB dist.Other dist. LMC18.48 m ±0.1 m 18.52 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

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