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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 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 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.