TRANSFORMATION FROM GEOCENTRIC TO GEODETIC COORDINATES USING NEWTONS ITERATION

Authors
Citation
Kc. Lin et J. Wang, TRANSFORMATION FROM GEOCENTRIC TO GEODETIC COORDINATES USING NEWTONS ITERATION, Bulletin geodesique, 69(4), 1995, pp. 300-303
Citations number
6
Categorie Soggetti
Geosciences, Interdisciplinary
Journal title
ISSN journal
00074632
Volume
69
Issue
4
Year of publication
1995
Pages
300 - 303
Database
ISI
SICI code
0007-4632(1995)69:4<300:TFGTGC>2.0.ZU;2-X
Abstract
A new procedure for the transformation from geocentric to geodetic coo rdinates is introduced and analyzed. This new procedure which contains only one trigonometric function uses the Newton's iteration to solve the root of a non-linear equation. Compared with the well-known Bowrin g's iterative algorithm which uses a number of trigonometric functions , the new procedure is more efficient in computation. Numeric examples are used to test the two algorithms and the results show that the new procedure converges just as well as Bowring's algorithm but requires less time for completion.