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椭球面上二面直角坐标系的建立
引用本文:王振杰,李书群.椭球面上二面直角坐标系的建立[J].测绘工程,2012,21(1):16-17.
作者姓名:王振杰  李书群
作者单位:1. 中国石油大学地球资源与信息学院,山东青岛,266555
2. 合肥工业大学土木与水利工程学院,安徽合肥,230009
基金项目:国家自然科学基金资助项目(40974004);中央高校基本科研业务费专项资金资助(09CX05006A)
摘    要:在椭球面上建立一种特殊的坐标系——二面直角坐标系。在该坐标系中可以清楚、简单地表达任意法截面与子午面的夹角,且可以直观地表达任意法截线曲率半径的大小以及它们与法线的关系,通过比较分析阐述该坐标系的优点。

关 键 词:子午圈曲率半径  卯酉圈曲率半径  任意法截面曲率半径  二面直角坐标系

The establishment of two surface right-angle coordinate on Ellipsoid
WANG Zhen-jie , LI Shu-qun.The establishment of two surface right-angle coordinate on Ellipsoid[J].Engineering of Surveying and Mapping,2012,21(1):16-17.
Authors:WANG Zhen-jie  LI Shu-qun
Institution:1.Faculty of Geo-Resource and Information,China University of Petroleum,Qingdao 266555,China;2.School of Civil Engineering and Water Conservancy,Hefei Uiversity of Technology,Hefei 230009,China)
Abstract:A special coordinate syetem—two surface right-angle coordinate system was established on Ellipsoid in this paper.The angle between the arbitrary normal cross surface and the meridian surface could be expressed clearly and simply in this coordinate syetem.Also,the magnitude and the relation of the curvature radias of the arbitrary normal cross line to that of the normal line could be showed visually.The advantage of the coordinate syetem was illustrated by comparison and analysis.
Keywords:the curvature radias of the the meridian circle  the curvature radias of the prime vertical circle  the curvature radias of the arbitrary normal cross surface  two surface right-angle coordinate system
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