| 应用Bjerhammar方法确定GPS重力似大地水准面 |
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| 引用本文： | 束蝉方,李斐,李明峰,张杰.应用Bjerhammar方法确定GPS重力似大地水准面[J].地球物理学报,2011,54(10):2503-2509. |
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| 作者姓名： | 束蝉方 李斐 李明峰 张杰 |
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| 作者单位： | 1. 南京工业大学测绘学院, 南京 210009;
2. 武汉大学测绘遥感信息工程国家重点实验室, 武汉 430079 |
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| 基金项目： | 国家自然科学基金，国家高技术研究发展计划(863计划)项目，江苏省高校自然科学研究项目，地理空间信息工程国家测绘局重点实验室经费资助项目 |
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| 摘 要： | GPS技术的发展提出了新的大地边值问题——GPS重力边值问题.本文将Bjerhammar方法应用于GPS重力问题的求解,并在给出理论公式的基础上,针对实际计算中虚拟场元的分布和求解、虚拟球半径的确定及奇异积分等问题提出了具体的解决方案.文中通过比例因子k在虚拟球半径和GPS重力数据密度间建立起联系,并推导出其近似值.在...
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| 关 键 词： | GPS重力边值问题 Bierhammer方法 似大地水准面 精度分析 |
| 收稿时间： | 2010-09-10 |
Determination of GPS/gravity quasi-geoid using the Bjerhammar method |
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| SHU Chan-Fang,LI Fei,LI Ming-Feng,ZHANG Jie.Determination of GPS/gravity quasi-geoid using the Bjerhammar method[J].Chinese Journal of Geophysics,2011,54(10):2503-2509. |
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| Authors: | SHU Chan-Fang LI Fei LI Ming-Feng ZHANG Jie |
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| Institution: | 1. College of Geomatics Engineering,Nanjing University of Technology, Nanjing 210009, China;
2. State Key Laboratory of Information Engineering in Surveying, Mapping and Remote Sensing, Wuhan University. Wuhan 430079, China |
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| Abstract: | The GPS/gravity boundary varue problem(BVP) is proposed as a new geodetic boundary value problem with the development of GPS technology. In this paper, the Bjerhammar method is used to solve the GPS/gravity BVP. Based on the theoretical formulas, a detailed computational procedure is presented for some problems confronted in the application of the Bjerhammar method , such as the distribution and the solution of fictitious gravity quantities, the determination of fictitious spherical radius and singular integral. A scale factor k is used to build relationship between the fictitious spherical radius and the resolution of GPS/gravity data points. Based on the methods, a local quasi-geoid is determined by using 4870 GPS/gravity data points with precision checking with 65 high accuracy GPS/leveling points is ±2.4cm. After matching with GPS/leveling data using quadratic polynomial fitting, its precision checking with other 29 GPS/leveling data is ±1.4cm. The result calculated using GPS/gravity data with different resolutions indicates that approximation of the scale factor k is reasonable, though it is not the optimal value. The results all above show the rationality of the Bierhammer method used for the solution of GPS/gravity BVP and the feasibility and reliability of the computational procedure used in this paper. |
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| Keywords: | GPS/gravity BVP Bjerhammer method Quasi-geoid Accuracy analysis |
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