Volume 36 Issue 7
Jul.  2011
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LI Houpu, BIAN Shaofeng, CHEN Liangyou. The Direct Calculating Formulae for Transformations Between Authalic Latitude Function and Isometric Latitude[J]. Geomatics and Information Science of Wuhan University, 2011, 36(7): 843-846.
Citation: LI Houpu, BIAN Shaofeng, CHEN Liangyou. The Direct Calculating Formulae for Transformations Between Authalic Latitude Function and Isometric Latitude[J]. Geomatics and Information Science of Wuhan University, 2011, 36(7): 843-846.

The Direct Calculating Formulae for Transformations Between Authalic Latitude Function and Isometric Latitude

Funds: 国家自然科学基金资助项目(40774002,40904018,41071295);海军工程大学自然科学基金资助项目(HGDYDJJ009);海岛(礁)测绘技术国家测绘局重点实验室开放研究基金资助项目(2010B04)
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  • Received Date: April 19, 2011
  • Published Date: July 04, 2011
  • In order to realize the direct transformations between authalic and conformal projections,the direct calculating formulae for transformations between authalic latitude function and isometric latitude are derived with the help of computer algebra system Mathematica.Their coefficients are expressed uniformly in a power series of the first eccentricity of the ellipsoid,and the transformation problem when different reference ellipsoids are used could be solved.Numerical examples show that errors of the two formulae is less than 10 m2 and 10-4″respectively,which could satisfy practical application.

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