Title

Conversion between Cartesian and geodetic coordinates on a rotational ellipsoid by solving a system of nonlinear equations

Journal title

Geodesy and Cartography

Yearbook

2011

Volume

vol. 60

Issue

No 2

Authors

Ligas, Marcin ; Banasik, Piotr

Keywords

Cartesian and geodetic coordinates ; rotational ellipsoid ; Newton’s method ; coordinate transformation

Divisions of PAS

Nauki Techniczne

Publisher

Polska Akademia Nauk/ Komitet Geodezji Polskiej Akademii Nauk; Polish Academy of Sciences / Commitee on Geodesy Polish Academy of Sciences

Date

2011

Type

Artykuły / Articles

Identifier

DOI: 10.2478/v10277-012-0013-x ; ISSN 2080-6736

Source

Geodesy and Cartography; 2011; vol. 60; No 2

References

Borkowski K. (1987), Transformation of Geocentric to Geodetic Coordinates without Approximations, Astrophys. Space Sci, 139, 1, doi.org/10.1007/BF00643807 ; Borkowski K. (1989), Accurate Algorithms to Transform Geocentric to Geodetic Coordinates, Bulletin Géodésique, 63, 50, doi.org/10.1007/BF02520228 ; Bowring B. (1976), Transformation from spatial to geographical coordinates, Survey Review, 23, 323, doi.org/10.1179/003962676791280626 ; Darvishi M. (2007), A third-order Newton-type method to solve systems of nonlinear equations, Applied Mathematics and Computation, 187, 2, 630, doi.org/10.1016/j.amc.2006.08.080 ; Featherstone W. (2008), Closed-form transformation between geodetic and ellipsoidal coordinates, Studia geophysica et geodaetica, 52, 1, doi.org/10.1007/s11200-008-0002-6 ; Feltens J. (2009), Vector methods to compute azimuth, elevation, ellipsoidal normal and the Cartesian (X, Y, Z) to geodetic (φ, λ, h) transformation, Journal of Geodesy, 82, 493, doi.org/10.1007/s00190-007-0198-1 ; Fukushima T. (1999), Fast transform from geocentric to geodetic coordinates, Journal of Geodesy, 73, 603, doi.org/10.1007/s001900050271 ; Fukushima T. (2006), Transformation from Cartesian to geodetic coordinates accelerated by Halley's method, Journal of Geodesy, 79, 689, doi.org/10.1007/s00190-006-0023-2 ; Hedgley D. (1976), An exact transformation from geocentric to geodetic coordinates for nonzero altitudes. ; Heiskanen W. (1967), Physical Geodesy. ; Ligas M. (2011), Cartesian to geodetic coordinates conversion on a triaxial ellipsoid, Journal of Geodesy, doi.org/10.1007/s00190-011-0514-7 ; Lin K. (1995), Transformation from geocentric to geodetic coordinates using Newton's iteration, Bulletin Géodésique, 69, 300, doi.org/10.1007/BF00806742 ; Moritz H. (1980), Geodetic Reference System 1980, Bulletin Géodésique, 54, 395, doi.org/10.1007/BF02521480 ; Shu Ch. (2010), An iterative algorithm to compute geodetic coordinates, Computers & Geosciences, 36, 1145, doi.org/10.1016/j.cageo.2010.02.004 ; Vanicek P. (1982), Geodesy: The concepts. ; Vermeille H. (2002), Direct transformation from geocentric to geodetic coordinates, Journal of Geodesy, 76, 451, doi.org/10.1007/s00190-002-0273-6 ; Vermeille H. (2004), Computing geodetic coordinates from geocentric coordinates, Journal of Geodesy, 78, 94. ; Zanevicius D. (2010), Technologies for calculating geodetic coordinates applying h-geometry functions, 36, 160. ; Zhang C. (2005), An alternative algebraic algorithm to transform Cartesian to geodetic coordinates, Journal of Geodesy, 79, 413, doi.org/10.1007/s00190-005-0487-5

Aims and scope

The Advances in Geodesy and Geoinformation (formerly “Geodesy and Cartography”) is an open access international journal (semiannual) concerned with the study of scientific problems in the field of geodesy, geoinformation and their related interdisciplinary sciences. The journal has a rigorous peer–review process to ensure the best research publications. It is publishing peer–reviewed original articles on theoretical or modelling studies, and on results of experiments associated with geodesy and geodynamics, geoinformation, cartography and GIS, cadastre and land management, photogrammetry, remote sensing and related disciplines. Besides original research articles, the Advances in Geodesy and Geoinformation also accepts review articles on topical subjects, short notes/letters and communication of a great importance to the readers, and special issues arising from the national/international conferences as well as collection of articles that concentrates on a hot topical research area that falls within the scope of the journal.

Content of Advances in Geodesy and Geoinformation is archived with a long-term preservation service by the National Library of Poland.