Publication: Direct transformation from Cartesian into geodetic coordinates on a triaxial ellipsoid
Authors
Díaz Toca, Gema M. ; Marín, Leandro ; Nécula, Ioana
item.page.secondaryauthor
item.page.director
Publisher
Elsevier
publication.page.editor
publication.page.department
DOI
item.page.type
info:eu-repo/semantics/article
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
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.
publication.page.subject
Citation
Computers & Geosciences, Volume 142.
item.page.embargo
Collections
Ir a Estadísticas
Sin licencia Creative Commons.