CAJ | 학술논문

在分析Sl epi an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Sl epi an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Sl epi a n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Sl epi a n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Sl epi a n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。
재분석Sl epi an함수수학성질적기출상，선취월구북겁구관구역위연구범위，결합CEGM02모형，연구Sl epi an함수재해산월구국부중력장화국부공솔보우결점화괄용범위。동시이용CEGM02、SGM150j、LP150Q、GRAIL660모형，분석불동모형적월구국부중력장‐지형도납급상관성。결과표명Sl epi a n함수적국부정교특성재표체월구국부중력장방면유명현우세；유Sl epi a n모형계산득도적국부중력장공솔보가신가고대관교대，단구관변연이상신호대보분석결과고빈부분대래교대불학정성；이용Sl epi a n가창적국부보분석방법가이분석국부구역능량여전구적관계，단기보분석결과가신가고빈단교착，저계단오차교대。4개중력장모형국부중력‐지형도납중저계부분접근，고계부분수계차증대차거명현，가고성강저。
Based on a detailed analysis of the Slepian function ,the advantages and disadvantages of the application of the Slepian function in computing lunar local gravity model ,local power spectrum combined with the CEGM02 model and local admittance and correl ation based on CEGM02 ,SGM150j ,LP150Q and GRAIL660 were analyzed in this paper .It turns out that the local orthogonal Slepian function shows obvious advantages in modeling lunar local gravity field .In the application of power spectrum ,the method of Slepian model shows a much wider ,credible and reliable bandwidth but brings greater uncertainty in high degrees with the abnormal signal on the cap edge .On the contrary ,the local power spectrum curve of Slepian window reflects the relationship between local gravity and the whole moon ,but the spectral curve showsanarrowreliablebandwidthandsignificanterrorsinlowdegrees.Local admittanceandcorrelation of four gravity models shows small difference in low orders but obvious difference as the orders get higher .