Le théorème de Biot et le changement de variable de Biot–Auer–Standish : commentaire historique

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.

Keywords

• Réfraction astronomique
• Biot (Changement de variable de, Théorème de)
• Auer
• Standish
• Hohenkerk
• Sinclair
• Intégrale de réfraction (Calcul numérique de l’)