Slepian函数在月球局部重力场分析中的适用性分析

发布时间：2018-07-25 15:32

【摘要】：在分析Slepian函数数学性质的基础上,选取月球北极球冠区域为研究范围,结合CEGM02模型,研究Slepian函数在解算月球局部重力场和局部功率谱优缺点和适用范围。同时利用CEGM02、SGM150j、LP150Q、GRAIL660模型,分析不同模型的月球局部重力场-地形导纳及相关性。结果表明Slepian函数的局部正交特性在表达月球局部重力场方面有明显优势;由Slepian模型计算得到的局部重力场功率谱可信可靠带宽较大,但球冠边缘异常信号对谱分析结果高频部分带来较大不确定性;利用Slepian加窗的局部谱分析方法可以分析局部区域能量与全球的关系,但其谱分析结果可信可靠频段较窄,低阶段误差较大。4个重力场模型局部重力-地形导纳中低阶部分接近,高阶部分随阶次增大差距明显,可靠性降低。
[Abstract]:Based on the analysis of the mathematical properties of the Slepian function, the advantages and disadvantages of the Slepian function in the calculation of the local gravity field and local power spectrum of the moon are studied by selecting the spherical cap region of the lunar arctic as the research scope and combining with the CEGM02 model. At the same time, using the model of CEGM02SGM150jn LP150QNGRAIL660, the local gravity field and terrain admittance of different models are analyzed. The results show that the local orthogonality of the Slepian function has obvious advantages in the representation of the lunar local gravity field, and the reliable bandwidth of the power spectrum of the local gravity field calculated by the Slepian model is large. However, the abnormal signal at the edge of the spherical crown brings great uncertainty to the high frequency part of the spectral analysis results, the relationship between the local energy and the global energy can be analyzed by using the Slepian windowed local spectrum analysis method, but the reliable frequency band of the spectral analysis results is relatively narrow. The local gravisite-terrain admittance of the four gravity field models is close to the middle and low order, and the high order part is obviously different with the increase of the order, and the reliability is decreased.
【作者单位】：武汉大学测绘遥感信息工程国家重点实验室;常州市测绘院;武汉大学中国南极测绘研究中心;
【基金】：国家自然科学基金(41174019;41104006) 湖北省自然科学基金重点创新群体项目(2012FFA041) 中央高校基本科研业务费专项资金(2042014kf0051) 山东省基础地理信息与数字化技术重点实验室开放基金(SD080705)~~
【分类号】：P228.5;P184.5

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