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Strenge und genäherte Ausgleichung von Raumnetzen in einem lokalen kartesischen Koordinatensystem und Erprobung in den Raumnetzen Heerbrugg und Stuttgart / K. Ramsayer (1971)

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Titre :	Strenge und genäherte Ausgleichung von Raumnetzen in einem lokalen kartesischen Koordinatensystem und Erprobung in den Raumnetzen Heerbrugg und Stuttgart
Titre original :	[Compensation rigoureuse et approchée des réseaux spatiaux dans un système local de coordonnées cartésiennes et expérimentation dans le réseau spatial Heerbrugg et Stuttgart]
Type de document :	Monographie
Auteurs :	K. Ramsayer, Auteur
Editeur :	Munich : Bayerische Akademie der Wissenschaften
Année de publication :	1971
Collection :	DGK - A
Sous-collection :	Höhere Geodäsie num. 071
Importance :	57 p.
Format :	21 x 30 cm
Note générale :	Bibliographie
Langues :	Allemand (ger)
Descripteur :	[Vedettes matières IGN] Triangulation [Termes IGN] compensation de coordonnées [Termes IGN] coordonnées cartésiennes [Termes IGN] Stuttgart [Termes IGN] triangulation d'autres pays
Index. décimale :	30.32 Travaux de triangulation
Résumé :	(Auteur) 1. In preceeding publications [1, 2, 4, 5, 12] the author developed an approxi-mative method for the three dimensional computation of a network in a local Cartesian coordinate system. With this method the astronomical azimuths, the horizontal directions and the vertical angles are reduced to the zenith direction of the central point. The reduced quantities are then used as fictive observations in the adjustment, neglecting the mutual correlations. This method has the advantage that the number of unknowns are essentially reduced. But it has also the disadvantage, that it is only an approximative method, and that in each point of the network the astronomical latitude and longitude must be known. 2. In order to investigate the errors of this approximative method, and in order to eliminate the disadvantage that in each point of the network astronomical latitude and longitude observations are necessary, observation equations for the rigorous adjustment of a spatial network in a local Cartesian coordinate system are derived. With the rigorous method the observed quantities, such as distances, directions, vertical angles, further the astronomical latitudes, longitudes and azimuths are immediately corrected by the adjustment. For the astronomical latitude and longitude observations the observation equations derived by Wolf [9] were used. 3. The rigorous and approximative methods for the adjustment of a spatial network in a local Cartesian coordinate system were applicated to the spatial network Heerbrugg in the lower Alps and to a spatial network in the hilly area of Stuttgart. In order to test the rigorous local adjustment both networks were adjusted too according to the rigorous method with an ellipsoidal reference system of Wolf [9] For the different adjustments a constant coefficient of refraction for the whole network and separate local coefficients of refraction for each observation station were introduced. 4. The rigorous local adjustments and the rigorous ellipsoidal adjustments coin-cide within the accuracy of the computation. The differences between the approximate and the rigorous adjustments are small, as it was to be expected. The mean values of the standard deviations of the position coordinates x and y are at _ _ Heerbrugg : m x ~ my ~ + 19 mm, _ _ Stuttgart : m x ~ my ~ + 25 mm. The mean values of the standard deviations of the heights are in both networks mz ~ + 34 mm. Hence the determination of heights is not essentially less accurate than the determination of position. 5. By the introduction of a local coefficient of refraction for each observation station in both networks the accuracy of heights was considerably decreased. It is true that with local coefficients of refraction the corrections of the vertical angles are somewhat smaller than with a constant coefficient of refraction. But this apparent increase of accuracy is overcompensated by the large standard deviations of the local coefficients of refraction. 6. It is shown that in the lower Alps near Heerbrugg the deviations of the coefficients of refraction from a mean value are smaller than in the hilly area surrounding Stuttgart. 7. It is further shown that by the rigorous adjustments with a local or an ellipsoidal reference system the Laplace conditions are rigorously fulfilled.
Numéro de notice :	27870
Affiliation des auteurs :	non IGN
Thématique :	POSITIONNEMENT
Nature :	Monographie
Permalink :	https://documentation.ensg.eu/index.php?lvl=notice_display&id=63346

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Code-barres	Cote	Support	Localisation	Section	Disponibilité
27870-01	30.32	Livre	Centre de documentation	En réserve M-103	Disponible

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scientifique