空间直角坐标与大地坐标的精度关系式  

The Relationships of Precision between Rectangular Space Coordinate and Geodetic Coordinate

作　　者：徐思达 贾国宪 王丽红 孙长利 XU Sida;JIA Guoxian;WANG Lihong;SUN Changli(61365 Troops,Tianjin 300140,China)

机构地区：[1]61365部队,天津300140

出　　处：《北京测绘》2018年第3期290-293,共4页Beijing Surveying and Mapping

摘　　要：针对多数坐标转换软件中没有精度转换的现状,根据误差传播定律,推导了空间直角坐标和大地坐标之间精度转换的两种关系式,严密关系式顾及坐标分量之间的相关性,简便关系式忽略坐标分量之间的相关性。算例表明,坐标分量之间的相关性对同一坐标系中不同坐标表现形式之间的精度转换影响甚微,若转换前后的坐标精度保留相同小数位数,则两种关系式的精度计算结果趋于一致。Aimming at the status of no precision transformation in the most softwares of coordinates transformation,according to the error propagation law,two relationships of precision transformation between rectangular space coordinate and geodetic coordinate are derived.The correlativity of coordinate component is considered in the rigorous formula,and the correlativity of coordinate component is not considered in the simplified formula.The conclusion is as follows:the influence on the precision transformation about the correlativity of coordinate componenon is silight difference for the different coordinate form of expression in a system,if the decimals of the coordinate precision are the same,the precision of two relationships is consistent.

关 键 词：空间直角坐标 大地坐标 转换 精度 

分 类 号：P228[天文地球—大地测量学与测量工程]