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引用本文:过家春.??????????????????????????????·???[J].大地测量与地球动力学,2012,32(3):116-120.
作者姓名:过家春
作者单位:安徽农业大学理学院,合肥 230036;江西省数字国土重点实验室,抚州 344000
基金项目:江西省数字国土重点实验室开放研究基金资助项目,国家农业信息化工程技术研究中心开放课题
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NEW METHOD FOR INVERSE SOLUTION OF MERIDIAN BASED ON ELLIPTIC INTEGRAL OF SECOND KIND
Guo Jiachun.NEW METHOD FOR INVERSE SOLUTION OF MERIDIAN BASED ON ELLIPTIC INTEGRAL OF SECOND KIND[J].Journal of Geodesy and Geodynamics,2012,32(3):116-120.
Authors:Guo Jiachun
Institution:Guo Jiachun1,2) 1)School of Science,Anhui Agricultural University,Hefei 2300362)Jiangxi Province Key Lab.for Digital Land,Fuzhou 344000
Abstract:According to the theory of the elliptic integral of the second kind and Lagrange inversion theorem,we present a new method to solve the inverse problem of Meridian arc length,which is expressed by Taylor Series generated from the cosine function of reduced latitude.It gives a analytical solution for this problem.Numerical calculations are used to illustrate the accuracy of the method and the results show that it is applicable and useful in practice.
Keywords:inverse solution of meridian  elliptic integrals of the second kind  Lagrange inversion theorem  Taylor series  hypergeometric function
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