将笛卡尔坐标转换为椭球坐标的解析和数值方法

IF 0.9 Q4 REMOTE SENSING Journal of Geodetic Science Pub Date : 2021-01-01 DOI:10.1515/jogs-2020-0126
G. Panou, R. Korakitis
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引用次数: 4

摘要

摘要本文给出了将空间点的笛卡尔坐标转换为椭球坐标的两种解析方法和两种数值方法。在对一种著名的精确解析方法稍加修改后,提出了一种新的精确解析方法。此外,两种著名的精确计算三轴椭球表面上点的数值方法也被推广到空间中的点。以地球为例,利用广泛的点集对这四种方法进行了数值实验验证。然后,对四种方法进行了理论和数值比较。此外,将新的精确解析方法应用于近扁圆球体和月球的情况,并对结果进行了比较。我们得出结论,广义Panou和Korakitis的数值方法从新的精确解析方法的近似值开始,就得到的椭球坐标的精度而言是最好的选择。
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Analytical and numerical methods of converting Cartesian to ellipsoidal coordinates
Abstract In this work, two analytical and two numerical methods of converting Cartesian to ellipsoidal coordinates of a point in space are presented. After slightly modifying a well-known exact analytical method, a new exact analytical method is developed. Also, two well-known numerical methods, which were developed for points exactly on the surface of a triaxial ellipsoid, are generalized for points in space. The four methods are validated with numerical experiments using an extensive set of points for the case of the Earth. Then, a theoretical and a numerical comparative assessment of the four methods is made. Furthermore, the new exact analytical method is applied for an almost oblate spheroid and for the case of the Moon and the results are compared. We conclude that, the generalized Panou and Korakitis’ numerical method, starting with approximate values from the new exact analytical method, is the best choice in terms of accuracy of the resulting ellipsoidal coordinates.
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来源期刊
Journal of Geodetic Science
Journal of Geodetic Science REMOTE SENSING-
CiteScore
1.90
自引率
7.70%
发文量
3
审稿时长
14 weeks
期刊最新文献
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