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Accession number: 20141217497260
Title: A simplification ofthe meridian formula and its Taylor-seriesinterpretation
Authors: Guo, Jiachun1, 2
Author affiliation: 1 School of Science, AnhuiAgricultural University, Hefei 230036, China
2 Jiangxi ProvinceKey Lab for Digital Land, Fuzhou 344000, China
Corresponding author: Guo, J. (guojiachun@ahau.edu.cn)
Source title: Cehui Xuebao/ActaGeodaetica et Cartographica Sinica
Abbreviated source title: Cehui Xuebao
Volume: 43
Issue: 2
Issue date: February 2014
Publication year: 2014
Pages: 125-130
Language: Chinese
ISSN: 10011595
CODEN: CEXUER
Document type: Journal article (JA)
Publisher: SinoMaps Press
Abstract: A more concise formula of the meridian arc length was obtained by introduced two new parameters: the third flattening and the 腊启Gauss hypergeometric function. From another perspective, the simplified formula is also can be explained by a Taylorseries expansion. By this, we got error estimate of the formula 虚局正in terms of the Lagrange form of the remainder. For numerical verification of the error estimate theory, application example was presented by using the WGS84 data. The results show that experimental data are consistent with the error estimate theory and the simplified formulais more precise than the standard one.
Number of references: 25
Main heading: Estimation
Controlled terms: Taylor series
Uncontrolled terms: Application examples - Arc length - Error estimates - Gausshypergeometric function - Numericalverification - Simplified formula - Taylor series expansions - The thirdflattening
Classification code: 921 Mathematics
DOI: 10.13485/j.cnki.11-2089.2014.0017
Database: Compendex
Compilationand indexing terms, © 2014 Elsevier Inc.
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