在常用坐标系下GNSS点位误差转换方法研究  

ON GNSS POSITIONAL ERROR TRANSFORMATION BETWEEN COMMON COORDINATE SYSTEMS

作　　者：卞和方[1] 张书毕[1] 张秋昭[1] 郑南山[1] 

机构地区：[1]中国矿业大学环境与测绘学院,徐州221116

出　　处：《大地测量与地球动力学》2012年第4期83-86,共4页Journal of Geodesy and Geodynamics

基　　金：江苏省测绘科研项目(JSCHKY201112);国家自然科学基金(51174206);国土资源部公益性行业科研专项(201011015-2);江苏省研究生培养创新工程(CXLX11-0322)

摘　　要：鉴于大地坐标系和直角坐标系之间的转换函数为多元隐函数,GNSS点位误差在这两种常用坐标系下相互转换时,其显性表达式较为复杂且参数单位不统一,借助平行圈半径和子午圈曲率半径将大地坐标系下经纬度的角度误差统一转换为以长度为单位的误差,并推导了相应的转换矩阵,结果表明该矩阵不仅形式简单,且为正交矩阵。Because the transfer function between the geodetic coordinate system and the Cartesian coordinate system is a multi-implicit function,whose explicit expression is more complex and the unit of the parameters is not uniform in the GNSS positional error conversion.This paper uniformly converts the angle error to length error in geodetic coordinate system by radius of parallel circle and curvature radius of meridian,and the transformation matrix has been derived.The results show that the matrix is not only simple in form but also an orthogonal matrix.

关 键 词：GNSS点位误差 大地坐标系 直角坐标系 子午圈曲率半径 正交矩阵 

分 类 号：P226.3[天文地球—大地测量学与测量工程]