| 论确定全球大地水准面的斯托克斯方法 |
| |
| 引用本文： | 申文斌.论确定全球大地水准面的斯托克斯方法[J].测绘学报,2012,41(5):670-675. |
| |
| 作者姓名： | 申文斌 |
| |
| 作者单位： | 武汉大学测绘学院 |
| |
| 基金项目： | 国家自然科学基金，国家自然基金创新群体项目，国家自然基金海外与港澳学者合作研究基金，谨以此文祝贺宁津生院士80华诞 |
| |
| 摘 要： | 确定全球大地水准面最常用的方法是斯托克司方法。然而，除了人们熟知的缺陷之外，斯托克司方法还存在人们没有意识到的理论困难：当大地水准面位于参考椭球（WGS84椭球）内部时，在大地水准面上及其与参考椭球面界定的区域中扰动位没有定义，当然在这部分区域也不调和。为了解决这一困难，可以选取一个包含在大地水准面内部的由四个基本参数唯一确定其外部正常重力位的参考椭球（简称内部椭球），其中心与 WGS84 椭球的中心重合，其中的两个基本参数，旋转角速度和地心引力常数，与 WGS84 椭球面的相同，另外两个参数，半长轴和扁率，如此选取，使得内部椭球产生的新的正常重力位在 WGS84 椭球面上与大地水准面上的重力位 相等。这样，传统的斯托克司方法中存在的理论困难不复存在。
|
| 关 键 词： | 斯托克斯方法 参考椭球 扰动位 大地水准面确定 改进的斯托克斯方法 |
| 收稿时间： | 2012-07-23 |
| 修稿时间： | 2012-07-25 |
On Stokes' Approach for Determining Global Geoid |
| |
| SHEN Wenbin.On Stokes' Approach for Determining Global Geoid[J].Acta Geodaetica et Cartographica Sinica,2012,41(5):670-675. |
| |
| Authors: | SHEN Wenbin |
| |
| Institution: | SHEN Wenbin1,2,3 1.School of Geodesy and Geomatics,Wuhan University,Wuhan 430079,China;2.Key Laboratory of Information Engineering in Surveying,Mapping and Remote Sensing,Wuhan University,Wuhan 430079,China;3.Key Laboratory of Geospace Environment and Geodesy,Ministry of Education,Wuhan University,Wuhan 430079,China |
| |
| Abstract: | Stokes’ approach is one of the most frequently used approaches for determining the global geoid. However, besides the well-known drawbacks, in Stokes’ approach there still exist theoretical difficulties that are not recognized: in case that the geoid is below the surface of a reference ellipsoid (e.g. the WGS84 ellipsoid), the disturbing potential function is not defined and neither harmonic in the whole region outside the geoid. To take away these difficulties from Stokes’ approach, we choose an inner ellipsoid enclosed by the geoid, with four fundamental parameters, with its center coinciding with that of the WGS84 ellipsoid, and two of which, the geocentric constant and rotation rate, coincide with the corresponding parameters of the WGS84 ellipsoid, and the other two parameters, semi-major axis and flattening, are chosen in such a way that the new normal gravity potential generated by the inner ellipsoid has the constant (the geopotential constant on the geoid) on the surface of the WGS84 ellipsoid. By this new formulation, the disturbing potential function is harmonic in the whole region outside the geoid, and the difficulties existing in the conventional Stokes’ approach vanish. |
| |
| Keywords: | Stokes' approach reference ellipsoid disturbing potential geoid determination modified Stokes'sapproach |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《测绘学报》浏览原始摘要信息 |
| 点击此处可从《测绘学报》下载免费的PDF全文 |
|
