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Transformation from geocentric to geodetic coordinates using Newton's iteration

Lin, Kuo-Chi / Wang, Jie

Summary A new procedure for the transformation from geocentric to geodetic coordinates 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 Bowring'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.

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Transformation from geocentric to geodetic coordinates using Newton's iteration

Lin, Kuo-Chi / Wang, Jie

Summary A new procedure for the transformation from geocentric to geodetic coordinates 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 Bowring'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.

Transformation from geocentric to geodetic coordinates using Newton's iteration

Lin, Kuo-Chi / Wang, Jie

Summary A new procedure for the transformation from geocentric to geodetic coordinates 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 Bowring'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.

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Title:

Transformation from geocentric to geodetic coordinates using Newton's iteration

Contributors:

Lin, Kuo-Chi (author) / Wang, Jie (author)

Published in:

Bulletin géodésique ; 69

Publication date:

1995

ISSN:

DOI:

https://doi.org/10.1007/BF00806742

Type of media:

Article (Journal)

Type of material:

Print

Language:

English

Keywords:

Geodäsie , Geometrie , Geodynamik , Zeitschrift , Mathematik , Mineralogie

Classification:

BKL: 38.30 Mineralogie / 38.73 Geodäsie
Local classification TIB: 275/3200

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