MATRIX GENERALIZATION OF THE PROBLEM OF 3D COORDINATE TRANSFORMATION IN SATELLITE CONSTRUCTIONS
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Jun 28, 2024
Keywords:
spheroidal geodesy, seven parameter Helmert transformation, differential equations of the 1st and 2nd kind сфероидическая геодезия, 7 параметрическое преобразование Гельмерта, дифференциальные уравнения 1 и 2 рода
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Abstract
The article considers the problem of generalizing the 3D Helmert transformation by 7 parameters and differential equations of the 1st and 2nd types of spheroidal geodesy. A formula is obtained in matrix form, which includes, as special cases, almost all types of coordinate transformations used in satellite geodesy, as well as several new types.
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DEGTJAREV, A., DEGTJAREVA, E., & VALOSHYNA, M. (2024). MATRIX GENERALIZATION OF THE PROBLEM OF 3D COORDINATE TRANSFORMATION IN SATELLITE CONSTRUCTIONS. Vestnik of Polotsk State University. Part F. Constructions. Applied Sciences, (2), 72-77. https://doi.org/10.52928/2070-1683-2024-37-2-72-77
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Geodesy
This work is licensed under a Creative Commons Attribution 4.0 International License.
References
Morozov, V.P. (1979). Kurs sferoidicheskoi geodezii (Izd. 2, pererab. i dop.). Moscow: Nedra. (In Russ.).
Soler, T. (1976). On differential transformations between Cartesian and curvilinear (geodetic) coordinates. Report number: Department of Geodetic Science, (236).