Centre to limb darkening of stars. New model and application to stellar interferometry.

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Limb Darkening, Stars: Fundamental Parameters Of, Stars: Atmospheres Of, Gaia, Techniques: Interferometric.

Scientific paper

Measurement of a star's apparent diameter with an intensity interferometer yields its geometrical radius and its effective temperature when one knows or measures the specific centre to limb-darkening. This paper presents a formulation that (1) makes use of a single parameter and (2) is well suited for the interpretation and comparison of centre to limb darkening. Subsequently, this result is applied to the study of the contrast of the fringes as obtained with a stellar interferometer. A method yielding the angular diameter of the extended source together with the parameter of the law modeling its centre to limb darkening is presented. The value of such observations made by GAIA type interferometer (Lindegren & Perryman, 1996A&AS..116..579L) are briefly noted in the last section.

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