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新型大地坐标系中的大地主题解算
引用本文:施一民,范业明,朱紫阳.新型大地坐标系中的大地主题解算[J].同济大学学报(自然科学版),2006,34(2):212-216.
作者姓名:施一民  范业明  朱紫阳
作者单位:1. 同济大学,测量与国土信息工程系,上海,200092;现代工程测量国家测绘局重点实验室,上海,200092
2. 同济大学,测量与国土信息工程系,上海,200092
3. 广东省国土资源厅测绘院,广东,广州,510500
基金项目:中国科学院资助项目;教育部重点实验室基金
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400km、东西向则不受限制的范围内,对于50km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GIS建模.

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
文章编号:0253-374X(2006)02-0212-05
收稿时间:09 10 2004 12:00AM
修稿时间:2004-09-10

Direct and Inverse Solution of Geodesic Problem in New Form of Geodetic Coordinate System
SHI Yimin,FAN Yeming,ZHU Ziyang.Direct and Inverse Solution of Geodesic Problem in New Form of Geodetic Coordinate System[J].Journal of Tongji University(Natural Science),2006,34(2):212-216.
Authors:SHI Yimin  FAN Yeming  ZHU Ziyang
Institution:1. Department of Surveying and Geoinformatics, Tongji University, Shanghai 200092, China; 2. Key Laboratory of Modem Engineering Surveying,State Bureau of Surveying and Mapping, Shanghai 200092, China; 3. The Land and Resources Department of Guangdong Province, Guangzhou 510500, China
Abstract: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.
Keywords:new form of geodetic coordinate system  direct and inverse solution of geodetic problem  geodesic line  differential relationship
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