| 等面积纬度函数和等量纬度变换的直接解算公式 |
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| 引用本文： | 李厚朴,边少锋,陈良友.等面积纬度函数和等量纬度变换的直接解算公式[J].武汉大学学报(信息科学版),2011(7):843-846. |
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| 作者姓名： | 李厚朴 边少锋 陈良友 |
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| 作者单位： | 海军工程大学导航工程系;75230部队; |
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| 基金项目： | 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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| 摘 要： | 为实现等面积投影和等角投影间的直接变换,借助计算机代数系统Mathematica,推导出了等面积纬度函数和等量纬度变换的直接解算公式,并将式中系数统一表示为椭球第一偏心率的幂级数形式,可解决不同参考椭球下的变换问题。算例分析表明,本导出公式的计算误差分别小于10 m2和10-4(″),可供实际使用。
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| 关 键 词： | 地图投影 等面积纬度函数 等量纬度 计算机代数系统 |
The Direct Calculating Formulae for Transformations Between Authalic Latitude Function and Isometric Latitude |
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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(7):843-846. |
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| Authors: | LI Houpu BIAN Shaofeng CHEN Liangyou |
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| Institution: | LI Houpu1,2 BIAN Shaofeng1 CHEN Liangyou3(1 Department of Navigation,Naval University of Engineering,717 Jiefang Road,Wuhan 430033,China)(2 Key Laboratory of Surveying and Mapping Technology on Island and Reef,State Bureau of Surveying and Mapping,579 Qianwangang Road,Qingdao 266510,China)(3 75230 Troops,Huizhou 512100,China) |
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| Abstract: | 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 form... |
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| Keywords: | map projection authalic latitude function isometric latitude computer algebra system |
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