Solving an Inverse Problem of a Meridian Arc in Terms of Computer Algebra System
Publication: Journal of Surveying Engineering
Volume 132, Issue 1
Abstract
In terms of computer algebra systems, an inverse problem of a meridian arc is discussed in two somewhat different ways in this paper. One is the conventional power series method and the other is a Hermite interpolation. The research in the paper shows that the derived new solutions are concise in form and high in accuracy. The paper also shows that a computer algebra system is a powerful tool to solve some mathematical derivations in geodesy, surveying, and cartography.
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Acknowledgments
This research is supported by the National Natural Science Foundation of China (Project No. NNSFC40125013) and the Key Laboratory Research Fund for Surveying, Mapping and Remote Sensing of Wuhan University (Grant No. UNSPECIFIEDWKL990201).
References
Mittermayer, E. (1965). “Formeln zur Berechnung der ellipsoidischen fuer Meridianboegen beliebger.” Laeger, ZfV, 11(3), 403–408.
Wolfram, S. (1991). A system for doing mathematics by computer, Addison-Wesley, Reading, Mass.
Xiong, J. (1988). Ellipsoid geodesy, Surveying and Mapping, Beijing.
Zhu, H., and Huang, J. (1993). Geodetic computing for ellipsoid geodesy, Surveying and Mapping Press, Beijing.
Information & Authors
Information
Published In
Journal of Surveying Engineering
Volume 132 • Issue 1 • February 2006
Pages: 7 - 10
Copyright
© 2006 ASCE.
History
Received: May 28, 2003
Accepted: Dec 29, 2004
Published online: Feb 1, 2006
Published in print: Feb 2006
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Authors
Affiliations
Professor, Dept. of Electrical Engineering, Institute of Navigation, Navy Univ. of Engineering, Jiefang St. 717, Wuhan 430033, China (corresponding author). E-mail: [email protected]
Yongbing Chen
Professor, Dept. of Electrical Engineering, Institute of Navigation, Navy Univ. of Engineering, Jiefang St. 717, Wuhan 430033, China.
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