引用本文: 黄谟涛, 管铮, 欧阳永忠. 中国地区1°×1°点质量解算与精度分析[J]. 武汉大学学报 ( 信息科学版), 1995, 20(3): 257-262.
Huang Motao, Guan Zheng, Ouyang Yongzhong. Accuracy Analysis and Calculation of 1°×1° Point Masses in the Area of China[J]. Geomatics and Information Science of Wuhan University, 1995, 20(3): 257-262.
 Citation: Huang Motao, Guan Zheng, Ouyang Yongzhong. Accuracy Analysis and Calculation of 1°×1° Point Masses in the Area of China[J]. Geomatics and Information Science of Wuhan University, 1995, 20(3): 257-262.

## Accuracy Analysis and Calculation of 1°×1° Point Masses in the Area of China

• 摘要: 从重力异常相关性分析、地面重力异常场逼近效果以及数值计算稳定性出发,讨论分析了外部引力场扰动点质量赋值模式的数据结构,提出以窗口移动方式控制点质量对场元观测的作用范围,简化了模型结构。在此基础上,提出解算经结构简化后具有稀疏矩阵特征的边值条件方程的超松弛迭代法,并实际解算了中国地区(0°~60°N,70°E~140°E)1°×1°点质量。最后对解算结果作了全面分析和检验,证明以窗口移动方式简化解算点质量的数据结构具有多方面的优越性。

Abstract: Through the analyses of anomalies relativity,the approximation effects of surface gravity field and the numerical stability of calculation,the datum configuration of the disturbing point masses model is discussed in this paper.Then,in an effort to optimize model configuration,a new method of creating fictitious point masses by way of moving window control is proposed.On this basis,the successive over-relaxation(SOR) iterative method is introduced to solve the equation of boundary value condition which has been optimized to be a sparse matrix.And the method is used to calculate the 1°×1°point masses in the area of China(0°~60°N;70°E~140°E).Finally,the computation results are analysed and checked.It is proved that the optimization of datum configuration by way of moving window control has many advantages.

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