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The P-L-relations on the AGB

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.

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The P-L-relations on the AGB

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  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 ~ R²Teff4 • ~ 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 Mbol = +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 Mbol = 19.86 mag – 2.34 log P

  8. PC- and PLC-relation • Period-Colour-RelationO-rich: (J-K) = 0.56 log P – 0.12C-rich: (J-K) = 2.32 log P – 3.77 • Period-Luminosity-Colour-Relation (LMC)O-rich: K = -4.58 log P + 2(J-K) + 19.71C-rich: K = -2.88 log P -0.14(J-K) +18.22 Feast et al. 1989

  9. SRVs Bedding & Zijlstra 1998

  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: Feast 2004

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