重力梯度张量的球谐分析
Spherical Harmonic Analysis on Gravity Gradient Tensor
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摘要: 深入研究了利用卫星重力梯度数据确定地球重力场模型的球谐分析方法,导出了由重力梯度张量的球函数展开系数确定扰动位球谐系数的实用解算模型。模拟试算结果验证了本文算法的有效性和实用性。Abstract: The purpose of the paper is to present spherical harmonic analysis for determining the Earth's gravity field model from satellite gravity gradiometry data. And the mathematical model which transforms the spherical harmonic expansion coefficients of some gravity gradient component to that of disturbing potential is derived. Moreover, simulation test results show that it is very effective and practical.