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A general formula for calculating meridian arc length and its application to coordinate conversion in the Gauss-Krüger projection / K. Kawase in Bulletin of the GeoSpatial Information authority of Japan, vol 59 (December 2011)  

Public [article]  inBulletin of the GeoSpatial Information authority of Japan > vol 59 (December 2011) . - pp 1 - 13 Titre : A general formula for calculating meridian arc length and its application to coordinate conversion in the Gauss-Krüger projection Type de document : Article/Communication Auteurs : K. Kawase, Auteur Année de publication : 2011 Article en page(s) : pp 1 - 13 Note générale : Bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Projections [Termes IGN] arc de méridien [Termes IGN] Japon [Termes IGN] projection Universal Transverse Mercator [Termes IGN] système de coordonnées [Termes IGN] transformation de coordonnées Résumé : (Auteur) The meridian arc length from the equator to arbitrary latitude is of utmost importance in map projection, particularly in the Gauss-Krüger projection. In Japan, the previously used formula for the meridian arc length was a power series with respect to the first eccentricity squared of the earth ellipsoid, despite the fact that a more concise expansion using the third flattening of the earth ellipsoid has been derived. One of the reasons that this more concise formula has rarely been recognized in Japan is that its derivation is difficult to understand. This paper shows an explicit derivation of a general formula in the form of a power series with respect to the third flattening of the earth ellipsoid. Since the derived formula is suitable for implementation as a computer program, it has been applied to the calculation of coordinate conversion in the Gauss-Krüger projection for trial. Numéro de notice : A2011-550 Affiliation des auteurs : non IGN Thématique : GEOMATIQUE/POSITIONNEMENT Nature : Article DOI : sans En ligne : https://www.gsi.go.jp/common/000062452.pdf Format de la ressource électronique : URL article Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=31444 [article]