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《Science of Surveying and Mapping》 2008-S1
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The problem of relationship between the 1°meridian arc length and latitude

SHEN Zi-yu (School of Metallurgical and Ecological Engineering,University of Science and Technology,Beijing 100083,China)  
Since the Earth is an elastic-visco body,the Earth should be an oblate spheroid due to it's rotation,according to Newton's theory.In 18~(th) century,the French Academy of Sciences sent two expeditions,one to Lapland and one to Peru to measure the meridian arc length,and the results demonstrated that the Earth is an oblate spheroid,flattened at poles.This paper analyzes the relationship between the 1°meridian arc length and three different kinds of latitudes——geocentric latitude,geodetic latitude and re- duced latitude.The results of the numerical calculations show that,the 1°meridian arc length increases with the increase of the geodet- ic latitude as well as the reduced latitude,and in another aspect,the 1°meridian arc length decreases with the increase of the geocen- tric latitude.
【Fund】: 国家自然科学基金资助项目(No.40637034;No.40574004);; 国家863资助项目(No.2006AA12Z211)
【CateGory Index】: P226
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【Co-citations】
Chinese Journal Full-text Database 8 Hits
1 HANG Han-wei~(①②),XU Hou-ze~(②),WANG Ai-sheng~(①②)(① Department of Territory Information and Mapping Engineering,Xuzhou normal university,Xuzhou 221116,China;② Institute of Geodesy and Geophysics,Chinese Academy of Sciences,WuHan 430077,China);The basic principle of mensurating astronomical longitude,latitude and azimuth angle[J];Science of Surveying and Mapping;2006-04
2 SHEN Zi-yu(School of Metallurgical and Ecological Engineering,University of Science and Technology,Beijing 100083,China);The problem of relationship between the 1° meridian arc length and latitude[J];Science of Surveying and Mapping;2008-S3
3 ZHAO Luocheng1 XIONG Ying2 (1 School of Geodesy and Geomatics; 2 School of Remote Sensing and Information Engineering, Wuhan University,129 Luoyu Road,Wuhan 430079,China);APPLICATION OF NEW TECHNIQUES TO SURVEYING ASTRONOMIC AZIMUTH OF POLARIS[J];Wtusm Bulletin of Science and Technology;2003-03
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6 ZHANG Kun 1,ZHANG Songlin 2(1.Lab of Geographic Information Science,East China Normal University,Shanghai 200241;2.Department of Surveying and Geoinformatics,Tongji University,Shanghai 200092);Dividing day and night on a map in Mercator Projection[J];Journal of Huazhong Normal University(Natural Sciences);2013-04
7 Liao Weixun(Shaoguan Education College, 512026 Shaoguan, Guangdong, PRC);Aberration and its determination[J];Journal of Shaanxi Normal University(Natural Science Edition);1995-S1
8 JIA Jingyun (Geological Institute of East China, Jiangxi);An Analytic Method for Determining Astronomical Azimuths[J];China Nuclear Science and Technology Report;1996-00
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