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Expression of strain and rotation tensor in geodetic coordinates 被引量:1
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作者 刘序俨 黄声明 梁全强 《Acta Seismologica Sinica(English Edition)》 CSCD 2007年第3期254-264,共11页
In this paper, unit moving trihedron is first constructed for a point on the surface of a revolution ellipsoid. Via translation, the origin of the trihedron coincides with that of Cartesian coordinates established at ... In this paper, unit moving trihedron is first constructed for a point on the surface of a revolution ellipsoid. Via translation, the origin of the trihedron coincides with that of Cartesian coordinates established at the center of the ellipsoid, and then through two coordinate rotations, the trihedron completely coincides with the Cartesian coordinates. Transformation formulae between the moving trihedron and unit Cartesian coordinate frameworks as well as transformation of point displacement between two unit coordinate frameworks are presented. Based on the above transformation formulae between two different coordinate frameworks, due to the fact that the displacement and moving trihedron of the point are both functions of the geodetic coordinates, components in the corresponding axis for differential of displacement vector and geodetic curves arc differential at the point in geodetic system can be obtained through complicated derivation. Displacement gradient matrix at the point in geodetic system is also given. Finally, expressions of strain and rotation tensor in geodetic coordinates are presented. Geometric meanings of the rotation tensor are explained in detail. The intrinsic relationship between strain tensors of sphere and ellipsoid are also discussed. 展开更多
关键词 moving trihedron geodetic coordinates strain tensor rotation tensor
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ESTABLISHMENT OF SURVEYING SYSTEM OF THE GREAT WALL STATION
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作者 Xu Shaoquan Wuhan Technical University of Surveying and Mapping Wuhan, 453070 《Chinese Journal of Polar Science》 1990年第1期49-57,共9页
It is the main task of the antarctic surveying expedition to establish the surveying system. In three times of the antarctic surveying research expeditions, a complete and accurate surveying system has been establishe... It is the main task of the antarctic surveying expedition to establish the surveying system. In three times of the antarctic surveying research expeditions, a complete and accurate surveying system has been established in the Chinese Great Wall Station area. The surveying system includes geodetic coordinate system, elevation system and gravity reference system. In this paper, the surveying methods and the mathematical models for establishing these systems are discussed, and the accuracy of results is analysed. 展开更多
关键词 Great Wall Station geodetic coordinate system elevation system gravity reference system
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New form of geodetic coordinate system taking two length quantity as coordinate parameters
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作者 Yimin SHI Ziyang ZHU Yeming FAN 《Frontiers of Structural and Civil Engineering》 SCIE EI 2009年第1期105-110,共6页
A new form of geodetic coordinate system based on geodesic coordinates instead of geodetic longitude and latitude was proposed.The vertical and horizontal geodesic coordinates measured with length were defined as coor... A new form of geodetic coordinate system based on geodesic coordinates instead of geodetic longitude and latitude was proposed.The vertical and horizontal geodesic coordinates measured with length were defined as coordinate parameters,but the two families of coordinate curves were still meridians and parallel circles.The first fundamental form on the ellipsoidal surface and its three coefficients were deduced by the geodesic coordinate.The formula for the latitudinal scale factor of length for geodetic parallel lines was derived,by which the obtained result conformed to that standard value calculated from geodetic latitude,and it is applicable in the range of 400 km from north to south.Therefore,it lays the foundation for establishing the differential equation and differential relationship based on this type of coordinate parameters;and consequently,it is convenient and accurate enough to operate on the ellipsoidal surface in this new form of geodetic coordinate system. 展开更多
关键词 geodetic coordinate system meridian and parallel circle coordinate parameter the first fundamental form on the ellipsoidal surface latitudinal scale factor of length
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一种快速获取港口控制点坐标的方法
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作者 柯敏 陶震 张大龙 《测绘地理信息》 CSCD 2022年第5期30-33,共4页
目前港口控制点坐标主要采用全球导航卫星系统(global navigation satellite system,GNSS)静态观测方式获取。介绍了实时扩展后处理(real-time extended post-processing,RTX-PP)技术服务,结合港口基础控制测量案例,利用RTX-PP技术获取... 目前港口控制点坐标主要采用全球导航卫星系统(global navigation satellite system,GNSS)静态观测方式获取。介绍了实时扩展后处理(real-time extended post-processing,RTX-PP)技术服务,结合港口基础控制测量案例,利用RTX-PP技术获取控制点国际地球参考框架(international terrestrial reference frame,ITRF)2014的2010.0历元坐标,采用平面四参数坐标转换方法求取上述坐标与2000国家大地坐标系(China Geodetic Coordinate System 2000,CGCS2000)坐标的转换参数,内检核点位精度为0.007 m,外检核点位精度为0.009 m。通过工程应用对方法进行验证,与常规GNSS静态解算成果相比,RTX-PP转换成果点位精度约0.029 m,差值主要由区域速度场差异造成。利用RTXPP技术可快速获取港口高等级控制点的CGCS2000坐标。 展开更多
关键词 实时扩展后处理(real-time extended post-processing RTX-PP) 港口控制点 速度场 坐标转换 2000国家大地坐标系(China geodetic Coordinate system 2000 CGCS2000)
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