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Local Geoid Computation by the Spectral Combination Method

机译:用谱组合法计算局部水准面

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摘要

The spectral combination method is investigated for the determination of a local geoid in Lower Saxony (Germany) using a global geopo-tential model, radial gravity gradients from the upcoming GOCE satellite mission, and gravity anomalies. The main goal of this study is to test the method with regard to the validation of GOCE data products. In order to prove the effectiveness and numerical accuracy of the method, the computations are done in a closed-loop simulation based on the EGM96 geopotential model. The gravity field signal is decomposed into long, medium and short wavelength components using corresponding spectral weight functions. The long wavelength information up to about degree n = 30 is computed from a global geopotential model, the medium wavelength part (n = 30-130) is taken from radial gravity gradients at GOCE altitude (250 km), and the high frequency part (n = 130-360) is derived from terrestrial gravity anomalies. The modified spherical Butterworth filter and a cosine filter are tested as spectral weighting functions. The results from the closed-loop simulation are discussed, and an error analysis is done considering the commission and omission errors of the input data sets.
机译:研究了一种频谱组合方法,使用一种全球地理势模型,即将来临的GOCE卫星任务产生的径向重力梯度以及重力异常来确定下萨克森州(德国)的局部大地水准面。这项研究的主要目的是测试有关GOCE数据产品验证的方法。为了证明该方法的有效性和数值精度,在基于EGM96地势模型的闭环仿真中进行了计算。使用相应的频谱权重函数将重力场信号分解为长,中和短波长分量。根据全局地势模型计算出约n = 30的长波长信息,中波长部分(n = 30-130)是从GOCE高度(250 km)的径向重力梯度中获取的,而高频部分是n = 130-360)是根据地球重力异常得出的。修改后的球形Butterworth滤波器和余弦滤波器作为频谱加权函数进行了测试。讨论了闭环仿真的结果,并考虑了输入数据集的委托误差和遗漏误差进行了误差分析。

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