新大地坐标系中用简易式反解的精度验证  

Precision Verification for Inverse Solution with Simple Formulas in The New Form of Geodetic Coordinate System

作　　者：施一民[1] 罗彦[1] 陈月梅[1] 

机构地区：[1]同济大学测量系

出　　处：《工程勘察》2007年第4期48-51,共4页Geotechnical Investigation & Surveying

基　　金：国家自然科学基金资助项目(40471114)

摘　　要：为验证由新大地主题反解简易式求解大地线长度和方位角的实际精度,用大地主题反解的相应结果来进行比较和分析,证实在不算小的范围内已能达到较高的解算精度。若要进一步扩大新型大地坐标系的适用范围,在采用反解简易式时,则须由大地纬度来得出更精确的长度归化因子。理论分析和数据计算都证实,这样不仅因消除了归化因子计算值的近似性而提高了解算精度,而且它也不再与坐标原点所在位置相关,从而亦使新型大地坐标系的适用范围有所扩大。In order to check the actual precision of geodesic length and azimuth by simple inverse solution in the new form of geodetic coordinate system, respective results calculated from formulas for solution of geodetic problems in geodetic longitude and latitude are given to be compared and analysed in this paper. The exact value of latitudinal scale factor of length could be calculated from geodetic latitude of the calculated points. And it could be testified by calculation and proved that by this method, not only the accurate value of latitudinal scale factor of length can be obtained, but also the work range of the new form of geodetic coordinate system will be greatlv enlarged.

关 键 词：新型大地坐标系 大地主题反解 长度归化因子 简易式 

分 类 号：P226.3[天文地球—大地测量学与测量工程]