L’invariant de Bouguer et ses conséquences : commentaire historique
In the second part of his prize-winning essay of 1729, Bouguer (1698–1758) considers a light ray in a spherically symmetric medium and introduces the invariant named after him. He deduces an expression of the refraction integral, leading to a table which is computed for a particular atmospheric mode...
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| Format: | Article |
| Language: | English |
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Académie des sciences
2023-03-01
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| Series: | Comptes Rendus. Physique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.115/ |
| _version_ | 1797517969736073216 |
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| author | Dettwiller, Luc |
| author_facet | Dettwiller, Luc |
| author_sort | Dettwiller, Luc |
| collection | DOAJ |
| description | In the second part of his prize-winning essay of 1729, Bouguer (1698–1758) considers a light ray in a spherically symmetric medium and introduces the invariant named after him. He deduces an expression of the refraction integral, leading to a table which is computed for a particular atmospheric model. He then studies the influence of the ray’s curvature on the horizon dip and predicts the hillingar effect. As a complement, we recall that the Bradley formula can be derived from the Bouguer model. This helps to understand the strong convexity of horizontal refraction versus refractivity. |
| first_indexed | 2024-03-10T07:23:36Z |
| format | Article |
| id | doaj.art-d4ded01138aa4edf8579aa63374e5057 |
| institution | Directory Open Access Journal |
| issn | 1878-1535 |
| language | English |
| last_indexed | 2024-03-10T07:23:36Z |
| publishDate | 2023-03-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Physique |
| spelling | doaj.art-d4ded01138aa4edf8579aa63374e50572023-11-22T14:26:46ZengAcadémie des sciencesComptes Rendus. Physique1878-15352023-03-0123S141545210.5802/crphys.11510.5802/crphys.115L’invariant de Bouguer et ses conséquences : commentaire historiqueDettwiller, Luc0https://orcid.org/0000-0003-4350-755XUniversité Jean Monnet Saint-Etienne, CNRS, Institut d Optique Graduate School, Laboratoire Hubert Curien UMR 5516, F-42023, SAINT-ETIENNE, FranceIn the second part of his prize-winning essay of 1729, Bouguer (1698–1758) considers a light ray in a spherically symmetric medium and introduces the invariant named after him. He deduces an expression of the refraction integral, leading to a table which is computed for a particular atmospheric model. He then studies the influence of the ray’s curvature on the horizon dip and predicts the hillingar effect. As a complement, we recall that the Bradley formula can be derived from the Bouguer model. This helps to understand the strong convexity of horizontal refraction versus refractivity.https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.115/Invariant de BouguerModèle de BouguerDépression de l’horizonIntégrale de réfractionBradley (démonstration de la formule de)Réfraction horizontaleEffet <i>hillingar</i> |
| spellingShingle | Dettwiller, Luc L’invariant de Bouguer et ses conséquences : commentaire historique Comptes Rendus. Physique Invariant de Bouguer Modèle de Bouguer Dépression de l’horizon Intégrale de réfraction Bradley (démonstration de la formule de) Réfraction horizontale Effet <i>hillingar</i> |
| title | L’invariant de Bouguer et ses conséquences : commentaire historique |
| title_full | L’invariant de Bouguer et ses conséquences : commentaire historique |
| title_fullStr | L’invariant de Bouguer et ses conséquences : commentaire historique |
| title_full_unstemmed | L’invariant de Bouguer et ses conséquences : commentaire historique |
| title_short | L’invariant de Bouguer et ses conséquences : commentaire historique |
| title_sort | l invariant de bouguer et ses consequences commentaire historique |
| topic | Invariant de Bouguer Modèle de Bouguer Dépression de l’horizon Intégrale de réfraction Bradley (démonstration de la formule de) Réfraction horizontale Effet <i>hillingar</i> |
| url | https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.115/ |
| work_keys_str_mv | AT dettwillerluc linvariantdebougueretsesconsequencescommentairehistorique |