基于LRO测高数据和GRAIL重力数据解算的月球三轴椭球体模型

Lunar Tri-axial Ellipsoid Model Based on LRO Altimetry Data and GRAIL Gravity Data

结合三轴椭球体模型建立的现状,本文对三轴椭球体模型的建立方法进行了研究;在平均地球/主轴参考框架下,使用最新LRO测高地形数据,建立了最佳拟合月球三轴几何椭球体,计算了几何中心的坐标和三条主轴(长半轴a、短半轴b、极轴c),给出了月球几何形状以及月球的质心形心偏移参数,与已有结果相当。同时结合最新GRAIL重力数据,顾及地球引潮力的影响,建立了月球参考三轴水准椭球体,并与已有计算结果作了比较分析。结果表明得到的椭球体形状更可信。

The methods of establishing tri-axial ellipsoid model have been investigated with their current situation.With the latest LRO（lunar reconnaissance orbiter）altimetry data,new estimate of geometrically best fitting lunar tri-axial ellipsoid was provided under the Mean Earth/Polar Axis Reference Frame work.The semi-principal axes of the triaxial ellipsoid and the coordinates of its geometric center were calculated simultaneously,producing geometric shape and the parameters of the geometric center of lunar figure with respect to the center of mass of the Moon.The results show remarkable agreement with previous researches.Taking into account the effects of the Earth＇s tidal force,the reference tri-axial level ellipsoid combining GRAIL（gravity recovery and interior laboratory）gravity data and LRO altimetry data was constructed and compared with existing results.The results show that new ellipsoid is more convincing.