Por favor, use este identificador para citar o enlazar este ítem:
http://hdl.handle.net/10201/136994
Twittear
Título: | Direct transformation from Cartesian into geodetic coordinates on a triaxial ellipsoid |
Fecha de publicación: | sep-2020 |
Editorial: | Elsevier |
Cita bibliográfica: | Computers & Geosciences, Volume 142. |
ISSN: | 0098-3004 1873-7803 |
Palabras clave: | Coordinate transformation Cartesian coordinates Geodetic coordinates Triaxial ellipsoid, Symbolic-numerical computation |
Resumen: | This paper presents two new direct symbolic-numerical algorithms for the transformation of Cartesian coordinates into geodetic coordinates considering the general case of a triaxial reference ellipsoid. The problem in both algorithms is reduced to finding a real positive root of a sixth degree polynomial. The first approach consists of algebraic manipulations of the equations describing the geometry of the problem and the second one uses Gröbner bases. In order to perform numerical tests and accurately compare efficiency and reliability, our algorithms together with the iterative methods presented by M. Ligas (2012) and J. Feltens (2009) have been implemented in C++. The numerical tests have been accomplished by considering 10 celestial bodies, referenced in the available literature. The obtained results show that our algorithms improve the aforementioned, up-to-date reference, iterative methods, in terms of both efficiency and accuracy. |
Autor/es principal/es: | Díaz Toca, Gema M. Marín, Leandro Nécula, Ioana |
Facultad/Departamentos/Servicios: | Facultades, Departamentos, Servicios y Escuelas::Departamentos de la UMU::Ingeniería y Tecnología de Computadores |
Forma parte de: | Symbolic Computation: new challenges in Algebra and Geometry together with its applications (MTM2017-88796-P) |
URI: | http://hdl.handle.net/10201/136994 |
Tipo de documento: | info:eu-repo/semantics/article |
Número páginas / Extensión: | 18 |
Derechos: | info:eu-repo/semantics/openAccess |
Descripción: | ©2020. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ This document is the Accepted version of a Published Work that appeared in final form in Computers & Geosciences |
Aparece en las colecciones: | Artículos: Ingeniería y Tecnología de Computadores |
Ficheros en este ítem:
Fichero | Descripción | Tamaño | Formato | |
---|---|---|---|---|
tri-gema-ioana-VF-CG.pdf | 366,43 kB | Adobe PDF | Visualizar/Abrir |
Los ítems de Digitum están protegidos por copyright, con todos los derechos reservados, a menos que se indique lo contrario.