| 超高阶重力场模型计算高程异常算法与实现 |
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| 引用本文： | 李玉平.超高阶重力场模型计算高程异常算法与实现[J].海洋测绘,2018(3):1-4. |
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| 作者姓名： | 李玉平 |
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| 作者单位： | 新疆水利水电勘测设计研究院测绘工程院 |
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| 摘 要： | 详细阐述了利用地球重力场模型位系数计算高程异常的数学模型。选取标准向前列递推法和跨阶次递推法作为缔合勒让德函数的计算方法,分析了两种算法的适用范围。以高精度的超高阶EIGEN-6C4重力场模型为例,选择全球范围内5°×5°的格网组成的2701个点和具有代表性的12个点计算高程异常,将计算结果和ICGEM网站计算结果比较验证了算法的可靠性,并绘制了全球范围内5m等高距的高程异常等值线图,实现了全球高程异常的可视化。
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| 关 键 词： | 地球重力场模型 高程异常 缔合勒让德函数 标准向前列递推法 跨阶次递推法 EIGEN-6C4 |
Algorithm and Realization of Ultra-high Degree Gravity Field Models to Calculate the Height Anomaly |
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| LI Yuping.Algorithm and Realization of Ultra-high Degree Gravity Field Models to Calculate the Height Anomaly[J].Hydrographic Surveying and Charting,2018(3):1-4. |
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| Authors: | LI Yuping |
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| Institution: | Surveying Department of Xinjiang Hydroelectricity Institute of Surveying and Designing,Changji 831100 ,China |
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| Abstract: | This paper expounds in detail the mathematical model of height anomaly calculated by using the model bit coefficient of the earth gravity field.Selecting both recursive method between every other order and degree and standard forward column algorithm as the calculation method of association Legendre function.Taking high precision and order EIGEN-6C4 gravity field model as an example,the worldwide representative global 5°×5° resolution of 2701 points and 12 points of grid are selected to compute the height anomaly.Compared with the results of ICGEM website,the reliability of the calculation results of self-programming is proved.The global high altitude anomaly contour map of 5m contour interval has been created to visualize the global elevation anomaly. |
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