A Simple Perturbation Algorithm for Inverting the Cartesian to Geodetic Transformation
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-07-09
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
A singularity-free perturbation solution is presented for inverting the Cartesian to Geodetic transformation.
Geocentric latitude is used to model the satellite ground track position vector.
A natural geometric perturbation variable is identified as the ratio of the major and minor Earth ellipse radii minus one.
A rapidly converging perturbation solution is developed by expanding the satellite height above the Earth and the geocentric latitude as a perturbation power series in the geometric perturbation variable.
The solution avoids the classical problem encountered of having to deal with highly nonlinear solutions for quartic equations.
Simulation results are presented that compare the solution accuracy and algorithm performance for applications spanning the LEO-to-GEO range of missions.
American Psychological Association (APA)
Turner, James& Elgohary, Tarek. 2013. A Simple Perturbation Algorithm for Inverting the Cartesian to Geodetic Transformation. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-1032104
Modern Language Association (MLA)
Turner, James& Elgohary, Tarek. A Simple Perturbation Algorithm for Inverting the Cartesian to Geodetic Transformation. Mathematical Problems in Engineering No. 2013 (2013), pp.1-5.
https://search.emarefa.net/detail/BIM-1032104
American Medical Association (AMA)
Turner, James& Elgohary, Tarek. A Simple Perturbation Algorithm for Inverting the Cartesian to Geodetic Transformation. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-1032104
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1032104