| 块对角最小二乘方法在确定全球重力场模型中的应用 |
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| 引用本文： | 李新星,吴晓平,李姗姗,刘晓刚,崔志伟.块对角最小二乘方法在确定全球重力场模型中的应用[J].测绘学报,2014,43(8):778-785. |
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| 作者姓名： | 李新星 吴晓平 李姗姗 刘晓刚 崔志伟 |
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| 作者单位： | 1. 解放军信息工程大学地理空间信息学院;
2. 信息工程大学测绘学院;
3. 西安测绘研究所;
4. 解放军61206部队 |
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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专项 |
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| 摘 要： | 分析研究了最小二乘求解重力场模型的六种位系数排列方式下的块对角形态及三种不同条件下的块对角近似：BD-1、BD-2、BD-3，探讨了块对角最小二乘方法在联合早期卫星重力场模型和最新GRACE-only模型中的应用，通过实验计算，结果表明，块对角最小二乘方法较之于积分方法，能更好的提高所恢复模型的精度，说明在卫星重力飞速发展、地面重力数据不断完善的今天，块对角最小二乘法在超高阶地球重力场模型构建方面的优势逐渐突出。
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| 关 键 词： | 块对角矩阵 最小二乘 超高阶地球重力场模型 EGM2008 正交性 |
| 收稿时间： | 2013-12-06 |
| 修稿时间： | 2014-05-12 |
The Appl ication of Block-diagonal Least-squares Methods in Geopotential Model Determination |
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| LI Xinxing,WU Xiaoping,LI Shanshan,LIU Xiaogang,CUI Zhiwei.The Appl ication of Block-diagonal Least-squares Methods in Geopotential Model Determination[J].Acta Geodaetica et Cartographica Sinica,2014,43(8):778-785. |
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| Authors: | LI Xinxing WU Xiaoping LI Shanshan LIU Xiaogang CUI Zhiwei |
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| Abstract: | Six kind of permutations of spherical harmonic coefficients and their block diagonal form of corresponding normal matrixes were studied as well as three kinds of approximation BDs: BD-1, BD-2, BD-3. The application of block-diagonal least-squares methods in geopotential model determination was analyzed and its advantage to quadrature formulas was showed by a simulated calculation. It illustrated that, with the global terrestrial gravity data and the satellite gravity field model whose accuracy was being improved continuously, block-diagonal least-squares methods are playing an increasingly important role in the calculation of the ultra-high-degree gravity field model. |
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| Keywords: | block-diagonal least-squares ultra-high-degree geopotential model EGM2008 orthogo-nality |
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