利用卫星重力梯度数据恢复月球重力场模拟研究

Research on Lunar Gravity Field Recovery Using Satellite Gravitational Gradiometer Data

月球重力场是目前大地测量学研究的热点问题。GOCE卫星的发射成功，为利用卫星重力梯度技术测定月球重力场提供了可能。本文回顾了月球重力场的恢复方法，研究了基于卫星重力梯度数据的月球重力场恢复，并在顾及有色噪声前提下，系统分析了不同噪声水平下以及不同梯度分量组合下的月球重力场恢复精度和可靠性。计算结果表明：100mE噪声水平下，联合Vxx、Vyy和Vzz恢复出的150阶次月球重力场模型不能满足当前月球重力场的精度要求，其全月球大地水准面误差均方误差（RMS）约30m，重力异常误差RMS约12mgal。10mE噪声水平下，仅利用Vzz获得的重力场模型精度要大大好于100mE噪声下三分量联合反演结果。若联合Vxx、Vyy和Vzz三分量，则月球重力场模型精度得到了进一步的提高，全月球范围内，其大地水准面误差RMS在0．1m左右，而重力异常RMS优于0．5mgal。

Research on lunar gravity field is a hot spot in geodetic field. With the successful launch of GOCE satellite, it becomes possible to determihe the lunar gravity field by means of satellite gravitational gradiometry （ SGG ） in the near future. After a brief review of the ＇approaches of lunar gravity field recovery, the basic principle and model of lunar gravity field recovery using SGG data are presented. Considering the influence of color noise in SGG data, the accuracies and reliabilities using differ-ent noise level and different combination of SGG components are obtained and compared. The results show that the accuracy of using combination of Vxx, Vyy and Vzz for lunar gravity field recovery fails to meet the accuracy requirement at present at the noise level of 100mE： the RMSs of lunar global geoid errors and gravity anomaly errors are about 30m and 12mgal respectively. The accuracy is greatly improved at the noise level of 10mE even only the Vzz component is used for gravity field recovery. If all the three components are combined, the accuracy of gravity field determination can be further improved, namely the RMS of lunar global geoid errors is about 0. lm and the RMS of gravity anomaly errors is better than 0.5mgal.