块对角最小二乘方法在确定全球重力场模型中的应用

摘要/Abstract

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。

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

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.

Key words: block-diagonal, least-squares, ultra-high-degree geopotential model determination, EGM2008, orthogonality

中图分类号:

P223

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.

参考文献

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