新型大地坐标系中的大地主题解算  

Direct and Inverse Solution of Geodesic Problem in New Form of Geodetic Coordinate System

作　　者：施一民[1] 范业明[1] 朱紫阳[2] 

机构地区：[1]同济大学测量与国土信息工程系 [2]广东省国土资源厅测绘院,广东广州510500

出　　处：《同济大学学报（自然科学版）》2006年第2期212-216,共5页Journal of Tongji University:Natural Science

基　　金：国家自然科学基金资助项目(40471114);地球空间环境与大地测量教育部重点实验室开放基金资助项目(03-04-02)

摘　　要：基于地球椭球面上所构建的新型大地坐标系,推导出用新大地纵横坐标表述的大地主题解算公式,并研制了相应的正反解算法.与基于大地经纬度的大地主题解算公式相比,更为简捷明了.由实际计算数据表明,在南北向最大跨距达400 KM、东西向则不受限制的范围内,对于50 KM以下的距离解算,它亦能达到相当高的精度.因此,这种以新大地坐标表述点位的新型大地坐标系,不仅可用于简化地球椭球面上的计算,更可用于三维G IS建模.Based on the theories of Differential Geometry and Geodesy, algorithms and formulas for direct and inverse solution of geodetic problem in the new form of geodetic coordinate system on the ellipsoidal surface are deduced in this paper. Compared with those formulas for solution of geodetic problem in the form of geodetic longitudes and latitudes, these formulas are more convenient and accurate in the region of middling size in the range of 400 km from north to south, which has been demonstrated by numerical examples. Accordingly, it is concluded that the new form of geodetic coordinate system can be adopted not only in geodetic computation, but also in modeling of GIS.

关 键 词：新型大地坐标系 大地主题正反解 大地线 微分关系式 

分 类 号：P226[天文地球—大地测量学与测量工程]