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《Chinese Journal of Geophysics》 1997-01
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HOLONOMIC AND ANHOLONOMIC COORDINATES IN GRAVITY FIELD

WANG DONG-MING(Institute of Geodesy and Geophysics, Chinese Academy of Sciences, Wuhan 430077, China)  
In this paper the author clarifies the holonomic and anholonomic coordinate systems in the gravity field, the relations of the transformation between them and thesignificance of the existence of the holonomic coordinate system to geodesy. It ispointed out that the theoretic misclosure of levelling is caused by the fact that thereferring local Cartesian system of levelling is an anholonomic coordinate system. Atlast the exact formula to compute the theoretic misclosure is given.
【Fund】: 国家自然科学基金;;武汉测绘科技大学测绘遥感信息工程重点实验室资助
【CateGory Index】: P312.1
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【References】
Chinese Journal Full-text Database 2 Hits
1 Wang Dongming; Zhu zhuoyuan(Department of Geophysics, Beijing Univeraity, 100871 );ISOPARAMETRIC FUNCTIONS AND THEIR APPLICATION IN GRAVITY FIELDS[J];PROGRESS IN GEOPHYSICS;1999-02
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【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 Ding Chunhua (Tianjin No 13 Middle School,300222,Tianjin. PRC);THE ISOMETRIC CORRESPONDENCE BETWEEN TWO OVAL ARCS[J];Journal of Anhui Normal University(Natural Science);1996-03
2 SUN Yan(Faculty of Science,Anshan University of Science and Technology,Anshan 114044,China);Distance in Minkowski 3-space[J];Journal of Anshan University of Science and Technology;2003-06
3 Wang Huanqing Wu Fa'en (School of Science,Beijing Jiaotong University,100044,Beijing,China);Variation Character of Torus in R~3[J];Journal of North China University of Technology Beijing China;2008-03
4 HE Wei-li 1,LI Dong-hong 2 (1.College of Sciences, Northern Jiaotong University, Beijing 100044,China; 2.Department of Mathematics, Central University of Finance and Economics, Beijing 100044,China);A Proof of Lemma Bott[J];Journal of Northern Jiaotong University;2001-03
5 Wang Youning Song Jiahong Su Xiaole (Department of Mathematics, Beijing Normal University, 100875, Beijing, China);ON SMOOTH CONNECTION OF CURVES[J];Journal of Beijing Normal University(Natural Science);2001-01
6 Wang Youning(School of Mathematical Sciences,Beijing Normal University,100875,Beijing,China);SOME PROPERTIES ON THE POSITION VECTOR FIELDS IN SPACE FORMS AND THEIR APPLICATIONS[J];Journal of Beijing Normal University(Natural Science);2005-05
7 Su Xiaole(School of Mathmatical Science,Beijing Normal University,100875,Beijing,China);MINKOWSKI INTEGRAL FORMULAS OF CLOSED ORIENTED HYPER SURFACE IN SPACE FORMS[J];Journal of Beijing Normal University(Natural Science);2006-06
8 WANG Youning1) LI Delong2)(1)School of Mathematical Sciences,Beijing Normal University,Key Laboratory of Mathematics and Complex Systems,Ministry of Education,100875,Beijing,China;2)Department of Mathematical Sciences,Tsinghua University,518052,Beijing,China);BELTRAMI-KLEIN COORDINATE SYSTEM IN HYPERBOLIC SPACES[J];Journal of Beijing Normal University(Natural Science);2010-01
9 WANG Youning SU Xiaole(School of Mathematical Sciences,Laboratory of Mathematics and Complex Systems,Ministry of Education,Beijing Normal University,100875,Beijing,China);ON CONVEX CLOSED CURVES IN HYPERBOLIC PLANE[J];Journal of Beijing Normal University(Natural Science);2010-02
10 LIU Zhi-yong1,2,FENG Guo-can2,WANG Jue1(1.Industry Centre,Shenzhen Polytechnic,Shenzhen Guangdong 518055,China;2.School of Mathematics and Computational Science,Sun Yat-Sen University,Guangzhou Guangdong 510275,China);Locally Linear Embedding and Its Application in Facial Expressions Recognition[J];Journal of Jiangxi Normal University(Natural Science Edition);2010-04
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1 Fan Xin-yun (Hydrographic Surveying Team,Shanghai Maritime Safety Administration,Shanghai 200090);GPS standard fitting quasi-geoid refinement study[A];[C];2009
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【Co-references】
Chinese Journal Full-text Database 1 Hits
1 XIA ZHE-REN ;LIN LI;SHI PAN(Xi'an Research Institute of Surveying and Mapping,Xi'an710054);A NEW EARTH'S GRAVITY FIELD MODEL DQM94AAND ITS PRECISION ESTIMATION[J];Chinese Journal of Geophysics;1995-06
【Secondary References】
Chinese Journal Full-text Database 2 Hits
1 JIN Ji-hang1,2,BIAN Shao-feng1,LI Sheng-quan1,2,WANG Geng-feng2,ZHANG Bo2(1.College of Electrical and Information Engineering,Naval University of Engineering,Wuhan,Hubei,430033;2.Naval Institute of Hydrographic Surveying and Charting,Tianjin,300061);Error Analysis in Gravity Gradiometer Aided Inertial System[J];Hydrographic Surveying and Charting;2010-05
2 Wu Lin Hu Wei Ma Jie Tian Jinwen (National Key Laboratory for Multi-spectral Information Processing Technology,Huazhong University of Science and Technology,Wuhan 430074,China);Modeling full-tensor gravity gradient maps using gravity anomaly analysis[J];Journal of Huazhong University of Science and Technology(Nature Science Edition);2009-11
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