中文摘要：

利用卫星重力测量资料研究地球、月球与火星等星体的内部构造时,需要进行重力地形校正,计算全球布格重力异常,而在球坐标中实现地形校正计算是一种有效的途径.本文提出球坐标系中的球冠域地形校正计算方法,给出了该方法涉及的球坐标系之间坐标转换方法和球冠域内地形模型重构方法,并进行理论验证.作者利用嫦娥一号激光测高数据对月球重力进行地形校正,获得了月球全球布格重力异常,并与球坐标系中Tesseroid单元体地形校正方法对比,分析了球冠域地形校正方法的计算精度、空间分辨率及其优缺点.

英文摘要：

Terrain correction is needed when we do research on the internal structure of the Earth,the Lunar,and Mars by use of satellite gravity measurements,then calculate global Bouguer gravity anomalies.It is effective to carry out terrain correction in spherical coordinates.In this paper,we propose a method of terrain correction in the domain of the spherical cap,and analyze the transformation of different spherical coordinates and the reconstruction of the terrain model that the method involved.Then we conduct a theoretical verification.Based on the CE-1 topographic data and the lunar gravity,the lunar Bouguer gravity anomalies are obtained via our terrain correction method,which are compared with the Tesseroid approach.Furthermore,we analyze the spatial resolution and advantages of our method.