月海盆地区壳-幔界面补偿地形体积估计的球谐算法  

Volume Estimation of Crust-Mantle Interface Beneath Lunar Nearside Mare Basins Based on Spherical Harmonic Algorithm

作　　者：钟振[1,2] 张腾 肖文君 ZHONG Zhen;ZHANG Teng;XIAO Wenjun(School of Physics and Electronic Science,Guizhou Normal University,Guiyang,Guizhou 550001,China;Guizhou Provincial Key Laboratory of Radio Astronomy and Data Processing,Guizhou Normal University,Guiyang,Guizhou 550025,China)

机构地区：[1]贵州师范大学物理与电子科学学院,贵州贵阳550001 [2]贵州省射电天文数据处理重点实验室,贵州贵阳550025

出　　处：《计算物理》2020年第3期335-340,共6页Chinese Journal of Computational Physics

基　　金：国家自然科学基金(41864001);武汉大学测绘遥感信息工程国家重点实验室开放基金(17P03);贵州师范大学博士科研项目资助。

摘　　要：提出基于壳-幔界面补偿地形的球谐系数直接求解补偿地形体积的方法.结果表明:补偿地形的体积仅与其球谐展开系数和常高地形展开系数乘积之和有关,进而简化了运算的复杂度,提升了计算效率.与模型地形的体积相比,算法的误差较常规的算法小.可以根据不同窗口形状,估计补偿地形的体积及其剩余质量.将算法应用于月球物理参数的估计,为月海盆地区弹性厚度的估计提供有益的参考.We propose a method of volume estimation based on spherical harmonic coefficients of compensated topography.It shows that volume of compensated topography depends merely on sum of coefficients between compensated topography and windowed constant height.The algorithm shows a simplification of computation and improves efficiency of estimation.Moreover,it demonstrates smaller error than general numerical methods.It can be employed in estimating volume of compensated topography windowed with various shapes.This method provides a good reference for estimation of lunar parameters,especially the elastic thickness over mare basins.

关 键 词：月海盆地 壳-幔界面 球谐展开 补偿地形 

分 类 号：P223[天文地球—大地测量学与测量工程]