Abstract

Thanks to their large angular dimension and brightness, red giants and supergiants are privileged targets for optical long-baseline interferometers. Sixteen red giants and supergiants have been observed with the VLTI/AMBER facility over a two-years period, at medium spectral resolution (R=1500) in the K band. The limb-darkened angular diameters are derived from fits of stellar atmospheric models on the visibility and the triple product data. The angular diameters do not show any significant temporal variation, except for one target: TX Psc, which shows a variation of 4% using visibility data. For the eight targets previously measured by Long-Baseline Interferometry (LBI) in the same spectral range, the difference between our diameters and the literature values is less than 5%, except for TX Psc, which shows a difference of 11%. For the 8 other targets, the present angular diameters are the first measured from LBI. Angular diameters are then used to determine several fundamental stellar parameters, and to locate these targets in the Hertzsprung-Russell Diagram (HRD). Except for the enigmatic Tc-poor low-mass carbon star W Ori, the location of Tc-rich stars in the HRD matches remarkably well the thermally-pulsating AGB, as it is predicted by the stellar-evolution models. For pulsating stars with periods available, we compute the pulsation constant and locate the stars along the various sequences in the Period -- Luminosity diagram. We confirm the increase in mass along the pulsation sequences, as predicted by the theory, except for W Ori which, despite being less massive, appears to have a longer period than T Cet along the first-overtone sequence.

Highlights

  • The direct measurement of stellar angular diameters has been the principal goal of most attempts with astronomical interferometers since the pioneering work of Michelson & Pease (1921)

  • We believe that the only meaningful comparison is between our values and those from the literature obtained with Long-Baseline Interferometry (LBI) in the same spectral domain (K band), as done in the last column of Table 5

  • We present new determinations of the angular diameter of a set of ten O-rich giants, two supergiants, and four C-rich giants, observed in the K-band (R = 1500) during several runs of a few nights, distributed over two years, using the VLTI/AMBER facility

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Summary

INTRODUCTION

The direct measurement of stellar angular diameters has been the principal goal of most attempts with astronomical interferometers since the pioneering work of Michelson & Pease (1921). When combined with the emergent flux at the stellar surface, linked to the effective temperature Teff, the stellar radius R leads These quantities are essential links between the observed properties of stars and the results of theoretical calculations on stellar structure and atmospheres (Baschek et al 1991; Scholz 1997; Dumm & Schild 1998). Program with the ultimate goal of investigating the presence of Surface-Brightness Asymmetries (SBAs), and of their temporal behaviour, following the pioneering work of Ragland et al (2006) This issue is addressed in a companion paper (Cruzalebes et al, submitted to MNRAS). We present new determinations of the angular diameters of 16 red giants and supergiants, obtained by combining the fits of limb-darkened disk models using two SPectroInterferometric (SPI) observables: the visibility amplitude, and the triple product. The number between parentheses is the numerical value of the standard uncertainty referred to the associated last digits of the quoted result

Selecting the science targets for the programme
Observation logbook
DERIVING THE ANGULAR DIAMETERS
Computing reliable uncertainties
Choosing the model input parameters
Fitting the model limb-darkened intensity
STUDYING THE SENSITIVITY TO MODEL PARAMETERS
STUDYING THE TEMPORAL VARIABILITY OF THE ANGULAR DIAMETER
COMPUTING THE FINAL ANGULAR DIAMETER
CONFRONTING OUR RESULTS WITH THOSE OF THE LITERATURE
HERTZSPRUNG – RUSSELL DIAGRAM
TECHNETIUM
10 PERIOD – LUMINOSITY RELATION
11 CONCLUSION
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