Direct transformation from Cartesian into geodetic coordinates on a triaxial ellipsoid

Díaz Toca, Gema M.; Marín, Leandro; Nécula, Ioana

Publication:
Direct transformation from Cartesian into geodetic coordinates on a triaxial ellipsoid

dc.contributor.author	Díaz Toca, Gema M.
dc.contributor.author	Marín, Leandro
dc.contributor.author	Nécula, Ioana
dc.contributor.department	Ingeniería y Tecnología de Computadores
dc.date.accessioned	2024-01-03T13:10:22Z
dc.date.available	2024-01-03T13:10:22Z
dc.date.issued	2020-09
dc.description	©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	es
dc.description.abstract	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.	es
dc.format	application/pdf	es
dc.format.extent	18	es
dc.identifier.citation	Computers & Geosciences, Volume 142.
dc.identifier.issn	0098-3004
dc.identifier.issn	1873-7803
dc.identifier.uri	http://hdl.handle.net/10201/136994
dc.language	eng	es
dc.publisher	Elsevier	es
dc.relation	Ministerio de Ciencia, Innovación y Universidades - Agencia Estatal de Investigación	es
dc.relation.ispartof	Symbolic Computation: new challenges in Algebra and Geometry together with its applications (MTM2017-88796-P)	es
dc.rights	info:eu-repo/semantics/openAccess	es
dc.subject	Coordinate transformation	es
dc.subject	Cartesian coordinates	es
dc.subject	Geodetic coordinates	es
dc.subject	Triaxial ellipsoid,	es
dc.subject	Symbolic-numerical computation	es
dc.title	Direct transformation from Cartesian into geodetic coordinates on a triaxial ellipsoid	es
dc.type	info:eu-repo/semantics/article	es
dspace.entity.type	Publication	es