Artículo
Direct transformation from Cartesian into geodetic coordinates on a triaxial ellipsoid
Autor/es | Díaz Toca, Gema María
Marín, Leandro Necula, Ioana Gabriela |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I |
Fecha de publicación | 2020-09 |
Fecha de depósito | 2023-04-03 |
Publicado en |
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Resumen | This paper1 presents two new direct symbolic-numerical algorithms for the transformation of Cartesian co ordinates into geodetic coordinates considering the general case of a triaxial reference ellipsoid. The problem in ... This paper1 presents two new direct symbolic-numerical algorithms for the transformation of Cartesian co ordinates 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 Grobner € 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 Cþþ. 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. |
Agencias financiadoras | Agencia Estatal de Investigación. España Ministerio de Economía, Industria y Competitividad |
Identificador del proyecto | MTM2017-88796-P
TIN2017-86885-R |
Cita | Díaz Toca, G.M., Marín, L. y Necula, I.G. (2020). Direct transformation from Cartesian into geodetic coordinates on a triaxial ellipsoid. Computers & Geosciences, 142. https://doi.org/10.1016/j.cageo.2020.104551. |
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