引用本文: 黄谟涛, 刘敏, 马越原, 欧阳永忠, 邓凯亮, 陆秀平, 吴太旗. 海域超大范围外部重力场快速赋值模型构建[J]. 武汉大学学报 ( 信息科学版), 2018, 43(5): 643-650.
HUANG Motao, LIU Min, MA Yueyuan, OUYANG Yongzhong, DENG Kailiang, LU Xiuping, WU Taiqi. Model Construction for Computing External Gravity Field in Ultra-Large Sea Area[J]. Geomatics and Information Science of Wuhan University, 2018, 43(5): 643-650.
 Citation: HUANG Motao, LIU Min, MA Yueyuan, OUYANG Yongzhong, DENG Kailiang, LU Xiuping, WU Taiqi. Model Construction for Computing External Gravity Field in Ultra-Large Sea Area[J]. Geomatics and Information Science of Wuhan University, 2018, 43(5): 643-650.

## Model Construction for Computing External Gravity Field in Ultra-Large Sea Area

• 摘要: 针对海域超大范围外部重力场快速赋值的特殊需求，分析了3种传统扰动引力赋值模型的适用性和局限性，分别提出了直接积分改进模型、点质量改进模型和直接积分与点质量混合模型。利用数值计算验证了3组改进模型的合理性和有效性，为实际工程应用奠定了必要的理论基础。

Abstract: In accordance with the special requirement of determining the external gravity field quickly in ultra-large sea area, a detail analysis is made on the applicability and limitations of the three traditional models, i.e. spherical harmonic expansion model, direct integral model and point mass model, for computing disturbing gravity. And then three modified computational models, i.e. modified direct integral model, modified point mass model and mixed model of direct integral and point mass, are proposed one by one. A numerical test has been made to prove the reasonableness and validity of the suggested models. It is shown that the singularity in three traditional models have been eliminated in the solutions of the modified models. They can satisfy the practical needs of determining the local gravity field quickly in ultra-large sea areas and full height. The accuracy of the modified point mass model is estimated to be about ±1mGal in smooth sea areas, and to be less than ±3mGal in rugged sea areas. The obtained conclusions are valuable to the practical engineering projects.

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