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Auteur Francisco Frutos |
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On the usefulness of relativistic space-times for the description of the Earth’s gravitational field / Michael Soffel in Journal of geodesy, vol 90 n° 12 (December 2016)
[article]
Titre : On the usefulness of relativistic space-times for the description of the Earth’s gravitational field Type de document : Article/Communication Auteurs : Michael Soffel, Auteur ; Francisco Frutos, Auteur Année de publication : 2016 Article en page(s) : pp 1345 - 1357 Note générale : Bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Géodésie physique
[Termes IGN] champ de pesanteur terrestre
[Termes IGN] coordonnées cartésiennes géocentriques
[Termes IGN] espace-temps
[Termes IGN] relativité générale
[Termes IGN] système de référence géodésiqueRésumé : (Auteur) The usefulness of relativistic space-times for the description of the Earth’s gravitational field is investigated. A variety of exact vacuum solutions of Einstein’s field equations (Schwarzschild, Erez and Rosen, Gutsunayev and Manko, Hernández-Pastora and Martín, Kerr, Quevedo, and Mashhoon) are investigated in that respect. It is argued that because of their multipole structure and influences from external bodies, all these exact solutions are not really useful for the central problem. Then, approximate space-times resulting from an MPM or post-Newtonian approximation are considered. Only in the DSX formalism that is of the first post-Newtonian order, all aspects of the problem can be tackled: a relativistic description (a) of the Earth’s gravity field in a well-defined geocentric reference system (GCRS), (b) of the motion of solar system bodies in a barycentric reference system (BCRS), and (c) of inertial and tidal terms in the geocentric metric describing the external gravitational field. A relativistic SLR theory is also discussed with respect to our central problem. Orders of magnitude of many effects related to the Earth’s gravitational field and SLR are given. It is argued that a formalism with accuracies better than of the first post-Newtonian order is not yet available. Numéro de notice : A2016-806 Affiliation des auteurs : non IGN Thématique : POSITIONNEMENT Nature : Article nature-HAL : ArtAvecCL-RevueIntern DOI : 10.1007/s00190-016-0927-4 En ligne : http://dx.doi.org/10.1007/s00190-016-0927-4 Format de la ressource électronique : URL article Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=82594
in Journal of geodesy > vol 90 n° 12 (December 2016) . - pp 1345 - 1357[article]