{"title":"Le théorème de Biot et le changement de variable de Biot–Auer–Standish : commentaire historique","authors":"L. Dettwiller","doi":"10.5802/crphys.117","DOIUrl":null,"url":null,"abstract":"In a 1836 publication on astronomical refractions, Biot (1774–1862) introduced a change of variable, which would become classical, in order to numerically calculate the refraction integral. This change renders well-behaved the integral, in the case when a celestial body is seen on the astronomical horizon. Biot also proves a beautiful theorem, giving the local vertical angular magnification on such horizon. In addition, he comments on various atmospheric models. Published online: 21 February 2023, Issue date: 11 August 2023","PeriodicalId":50650,"journal":{"name":"Comptes Rendus Physique","volume":" ","pages":""},"PeriodicalIF":1.3000,"publicationDate":"2023-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Comptes Rendus Physique","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.5802/crphys.117","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}
引用次数: 5
Abstract
In a 1836 publication on astronomical refractions, Biot (1774–1862) introduced a change of variable, which would become classical, in order to numerically calculate the refraction integral. This change renders well-behaved the integral, in the case when a celestial body is seen on the astronomical horizon. Biot also proves a beautiful theorem, giving the local vertical angular magnification on such horizon. In addition, he comments on various atmospheric models. Published online: 21 February 2023, Issue date: 11 August 2023
期刊介绍：
The Comptes Rendus - Physique are an open acess and peer-reviewed electronic scientific journal publishing original research article. It is one of seven journals published by the Académie des sciences.
Its objective is to enable researchers to quickly share their work with the international scientific community.
The Comptes Rendus - Physique also publish journal articles, thematic issues and articles on the history of the Académie des sciences and its current scientific activity.
From 2020 onwards, the journal''s policy is based on a diamond open access model: no fees are charged to authors to publish or to readers to access articles. Thus, articles are accessible immediately, free of charge and permanently after publication.
The Comptes Rendus - Physique (8 issues per year) cover all fields of physics and astrophysics and propose dossiers. Thanks to this formula, readers of physics and astrophysics will find, in each issue, the presentation of a subject in particularly rapid development. The authors are chosen from among the most active researchers in the field and each file is coordinated by a guest editor, ensuring that the most recent and significant results are taken into account. In order to preserve the historical purpose of the Comptes Rendus, these issues also leave room for the usual notes and clarifications. The articles are written mainly in English.
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