On Milne–Barbier–Unsöld relationships

This short review aims to clarify upon the origins of so-called Eddington-Barbier relationships, which relate the emergent specific intensity and the flux to the photospheric source function at specific optical depths. Here we discuss the assumptions behind the original derivation of Barbier (1943)....

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Main Author: Paletou Frédéric
Format: Article
Language:English
Published: De Gruyter 2018-04-01
Series:Open Astronomy
Subjects:
Online Access:https://doi.org/10.1515/astro-2018-0018
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author Paletou Frédéric
author_facet Paletou Frédéric
author_sort Paletou Frédéric
collection DOAJ
description This short review aims to clarify upon the origins of so-called Eddington-Barbier relationships, which relate the emergent specific intensity and the flux to the photospheric source function at specific optical depths. Here we discuss the assumptions behind the original derivation of Barbier (1943).We also point to the fact that Milne had already formulated these two relations in 1921.
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spelling doaj.art-f2d47187a85c4ae6ac006e609924d6e12022-12-21T23:28:57ZengDe GruyterOpen Astronomy2543-63762018-04-01271767910.1515/astro-2018-0018astro-2018-0018On Milne–Barbier–Unsöld relationshipsPaletou Frédéric0Université Paul Sabatier, Observatoire Midi–Pyrénées, Cnrs, Cnes, IRAP, F–31400 Toulouse, FranceThis short review aims to clarify upon the origins of so-called Eddington-Barbier relationships, which relate the emergent specific intensity and the flux to the photospheric source function at specific optical depths. Here we discuss the assumptions behind the original derivation of Barbier (1943).We also point to the fact that Milne had already formulated these two relations in 1921.https://doi.org/10.1515/astro-2018-0018radiative transferanalytical methodseducationhistory
spellingShingle Paletou Frédéric
On Milne–Barbier–Unsöld relationships
Open Astronomy
radiative transfer
analytical methods
education
history
title On Milne–Barbier–Unsöld relationships
title_full On Milne–Barbier–Unsöld relationships
title_fullStr On Milne–Barbier–Unsöld relationships
title_full_unstemmed On Milne–Barbier–Unsöld relationships
title_short On Milne–Barbier–Unsöld relationships
title_sort on milne barbier unsold relationships
topic radiative transfer
analytical methods
education
history
url https://doi.org/10.1515/astro-2018-0018
work_keys_str_mv AT paletoufrederic onmilnebarbierunsoldrelationships