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《Surveying and Mapping of Geology and Mineral Resources》 2003-03
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A Calculating Formula of Meridian Arc Length of Ellipsoid

YAN Boduo(Shandong Reconnaissance Institute of Town and Country Construction, Jinan Shandong 250031, China)  
A kind of calculating formula for ellipsoid arc length is introduced. The calculating results show that the comparison with conventional formula of elliptic integral method has the advantages to calculate simply and to enable the satisfaction of precision requirement.
【CateGory Index】: P226
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【References】
Chinese Journal Full-text Database 5 Hits
1 LIUXiu-shan;Numerical Integral Method of Calculating Meridian Arc Length[J];Bulletin of Surveying and Mapping;2006-05
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【Citations】
Chinese Journal Full-text Database 2 Hits
1 Jiang Chenguang;Yan Guifeng (Laiyang Agricultural College, Laiyang, Shandong, 265200;Quality Supervision Center of Construction Engineering of Laiyang City, Shandong, 265200);A Novel Method for the Calculation of Meridional Arc Length of Ellipsoid[J];ENGINEERING OF SURVEYING AND MAPPING;1998-04
2 LIU Zheng-caition (Hunan Industrial School, Xiangtan 411100, China);Simplification of Formula of Meridian Arc Length & Program of General Gauss Projection[J];Engineering of Surveying and Mapping;2001-01
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 Liu Zheng-cai (Hunan industral school 411100);Simplification of Formula of Meridian are Length Program of General Gauss Projection for CASIO fx-4500P Calculator[J];Beijing Surveying and Mapping;2001-04
2 YIN Hai-feng①,BAI Zheng-dong①,CHENG Bo-hui②(①The university of tsinghua,Beijing100084,China;②Chinese Academy of Surveying And Mapping,Beijing 100039,China);The computer-aided deduction of Gauss projection formula[J];Science of Surveying and Mapping;2008-02
3 LIUXiu-shan;Numerical Integral Method of Calculating Meridian Arc Length[J];Bulletin of Surveying and Mapping;2006-05
4 PENG Yun-ying1,DUAN Wen-rong2,ZHOU Jia-ming3 (1.Qujing Subcompany of Yunnan Co.,Ltd.of Geology and Mineral Resources,Qujing Yunnan 655000,China;2.Yunnan Surveying and Mapping Institute of Geology and Mineral Resources,Kunming Yunnan 650218,China;3.Geophysics and Geochemistry Exploration Brigade of Yunnan Bureau of Geology and Mineral Resources,Yiliang Yunnan 652100,China);Establishment of Engineering Coordinate System and Transformation among Different Coordinate Systems[J];Surveying and Mapping of Geology and Mineral Resources;2007-02
5 Liu Renzhao and Wu Jicang (Department of Surveying and Geoinformatics,Tongji University,Shanghai 200092);RECURSIVE COMPUTATION OF MERIDIAN ARC LENGTH WITH DISCRETIONARY PRECISION[J];Journal of Geodesy and Geodynamics;2007-05
6 Guo Jiachun1),Zhao Xiuxia2),Xu Li1),Tian Jinsong1) and Gao Fei3)1)School of Science,Anhui Agricultural University,Hefei 2300362)School of Resources and Environmental Engineering,Anhui University,Hefei 2300393)School of Civil and Hydraulic Engineering,Hefei University of Technology,Hefei 230009;CALCULATING MERIDIAN ARC LENGTH BY TRANSFORMING ITS FORMULAE INTO ELLIPTIC INTEGRAL OF SECOND KIND[J];Journal of Geodesy and Geodynamics;2011-04
7 GUO Jiachun;School of Science,Anhui Agricultural University;Jiangxi Province Key Lab for Digital Land;;A Simplification of the Meridian Formula and Its Taylor-series Interpretation[J];Acta Geodaetica et Cartographica Sinica;2014-02
8 YAN Bo-duo;A New Algorithm for Arc Length of Meridan[J];Hydrographic Surveying and Charting;2003-03
9 Zhang Xiaocan 1,2) Huang Zhicai 1) Yu Qinguo 3) Pan Yunhe 2) 1)(Spacial Information Technology Institute of Zhejiang University, Hangzhou 310027) 2)(Artificial Intelligence Institute of Zhejiang University, Hangzhou 310027) 3)(Ningbo Urban Planning Bureau, Ningbo 315040);Inverse-Transformation of Gauss Projection in GIS Based on Floating Coordinate-system and Dynamic Iteration[J];Journal of Computer Aided Design & Computer Graphics;2002-11
10 XU Lun-hui,WU Xiao-yun (School of Civil Engineering and Transportation,South China University of Technology,Guangzhou 510640,China);Improved Algorithm of GPS Coordinates in Electronic Map for Navigation[J];Transport Standardization;2010-07
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 XIONG Shao-fei, ZHAO Pi-xi, LI-Jun (Dept. of Economic Science & Engineering, National University of Defence Technology, Changsha 410073, China; 2. Dept of computer, Dalian Nationalities University);Automatic Construction of Network Topological Structure for City Road Network in MapInfo[J];Ordnance Industry Automation;2005-03
2 SU Hui min ZHOU Peng CHEN Zhe(Beijing University of Aeronautics and Astronautics, Dept. of Automatic Control);Study of GPS/MM Integrated Navigation System for Vehicle Positioning Based on D-S Evidence Reasoning[J];Journal of Beijing University of Aeronautics and Astronautics;2001-02
3 PENG Fei LIU Zhong kan ZHANG Qi shan (Beijing University of Aeronautics and Astronautics, Dept. of Electronic Engineering);Cost Function Based Map Matching Algorithm for GPS/DR Integrated Navigation Systems[J];Journal of Beijing University of Aeronautics and Astronautics;2002-03
4 BI Jun, FU Meng yin, ZHANG Yu he (Dept. of Automatic Control, Beijing Institute of Technology, Beijing100081, China);A Map Matching Algorithm for Vehicle Navigation Systems Based on Dead Reckoning (D-S) Evidence Reasoning[J];Journal of Beijing Institute of Technology;2002-03
5 ZHOU Pei-de~1,FU Meng-yin~2 (1.Department of Computer Science and Engineering, School of Information Science and Technology, Beijing Institute of Technology, Beijing 100081, China; 2.Department of Automatic Control, School of Information Science and Technology, Beijing Institute of Technology, Beijing 100081, China);New Algorithms for Map-Matching[J];Journal of Beijing Institute of Technology;2004-03
6 FANG Liang, XIA Ying, GE Jun-wei (GIS research center, Chongqing University of Posts and Telecommunications,Chongqing 400065,P.R.China);Hybrid location determination technology in mobile network and its implementation[J];Journal of Chongqing University of Posts and Telecommunications;2005-01
7 Jiang Chenguang;Yan Guifeng (Laiyang Agricultural College, Laiyang, Shandong, 265200;Quality Supervision Center of Construction Engineering of Laiyang City, Shandong, 265200);A Novel Method for the Calculation of Meridional Arc Length of Ellipsoid[J];ENGINEERING OF SURVEYING AND MAPPING;1998-04
8 LIU Zheng-caition (Hunan Industrial School, Xiangtan 411100, China);Simplification of Formula of Meridian Arc Length & Program of General Gauss Projection[J];Engineering of Surveying and Mapping;2001-01
9 GONG Pi-bo, HAO Jin-ming, ZHU Wei-gang(Institute of Surveying and Mapping, Information Engineering University, Zhengzhou, 450052, China);The establishment method of the topological structure of the road net supported by the MapX[J];Engineering of Surveying and Mapping;2004-04
10 ZHOU Zhen-yu,GUO Guang-li,JIA Xin-guo(School of Environment Science and Spatial Informatics, China University of Mining and technology,Jiangsu, Xuzhou 221008);A review on solution of geodetic problem[J];Science of Surveying and Mapping;2007-04
【Secondary References】
Chinese Journal Full-text Database 10 Hits
1 LIU Lin①②,LI Wan-wu②,WANG Zhi-yu③,TIAN Yu②(① Wuhan University,Wuhan 430079,China;②Shandong University of Science and Technology,Shandong Qingdao 266510,China;③Huangdao Chinese Medicine Hospital,Shandong Qingdao 266510,China);Research and implementation of real-time high accuracy map-matching technique[J];Science of Surveying and Mapping;2010-05
2 WANG Rui1,2,LI Houpu1 1.Department of Navigation,Naval University of Engineering,Wuhan 430033,China;2.Navigation Guarantee Department of the Chinese Navy Headquarters,Tianjin,300042,China;Symbolic Expressions of the Track Calculation Methods Based on the Ellipsoidal Model[J];Acta Geodaetica et Cartographica Sinica;2010-02
3 Yang ShuangFu(198 coal geological exploration teams in Yunnan,Yunnan 650208,China);Reconsideration of the Numerical Calculation of Radial arc Length Integral Method[J];Urban Geotechnical Investigation & Surveying;2010-06
4 Liu Renzhao and Wu Jicang (Department of Surveying and Geoinformatics,Tongji University,Shanghai 200092);RECURSIVE COMPUTATION OF MERIDIAN ARC LENGTH WITH DISCRETIONARY PRECISION[J];Journal of Geodesy and Geodynamics;2007-05
5 Guo Jiachun1),Zhao Xiuxia2),Xu Li1),Tian Jinsong1) and Gao Fei3)1)School of Science,Anhui Agricultural University,Hefei 2300362)School of Resources and Environmental Engineering,Anhui University,Hefei 2300393)School of Civil and Hydraulic Engineering,Hefei University of Technology,Hefei 230009;CALCULATING MERIDIAN ARC LENGTH BY TRANSFORMING ITS FORMULAE INTO ELLIPTIC INTEGRAL OF SECOND KIND[J];Journal of Geodesy and Geodynamics;2011-04
6 FENG Ji-jun DAI Ran ZHU Jin-shan (College of Navigation,Dalian Maritime Univ.,Dalian 116026,China);Some methods for sea area measurement[J];Journal of Dalian Maritime University;2007-S1
7 WANG Jigang,CUI Xusheng,ZHANG Cheng,ZHANG Yingjun;Calculation of Meridian Arc Based on Ordinary Differential Equation Numerical Method[J];Bulletin of Surveying and Mapping;2012-09
8 BAI Jianjun,WANG Lei,BAI Jiangtao,QIAO Yukang,QIAO Changlu;An Equal Area Grid Model of WGS-84 Ellipsoidal Facet Based on EQG[J];Bulletin of Surveying and Mapping;2012-11
9 LIU Wanzeng,CHEN Jun,JIN Shuping,ZHAO Yong;Space Curve Length Calculation and Accuracy Assessment Modol[J];Bulletin of Surveying and Mapping;2013-02
10 GUO Jiachun;School of Science,Anhui Agricultural University;Jiangxi Province Key Lab for Digital Land;;A Simplification of the Meridian Formula and Its Taylor-series Interpretation[J];Acta Geodaetica et Cartographica Sinica;2014-02
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