利用不同月球重力场模型分析嫦娥三号定轨精度

Analysis on Orbit Determination of CE-3 with Different Lunar Gravity Field Model

  • 摘要: 利用最新的月球重力场模型GL0660b对嫦娥三号探测器定轨的影响进行分析,并与LP150Q和SGM150模型进行了比较。首先计算了三个重力场模型的功率谱,分析了系数阶方差和误差阶方差的性质,GL0660b大大提升了月球重力场模型的阶数和解算精度;然后讨论了各模型在月球外部空间不同高度处截断到不同阶次的重力异常分布。利用这三个重力场模型对嫦娥三号环月期间的轨道进行解算,计算结果表明,利用GL0660b模型截断至150阶次,100 km×100 km轨道重叠弧段精度约为22 m,和LP150Q,SGM150全阶次模型精度相当;对于100 km×15 km轨道,GL0660b模型截断至360阶次,重叠弧段精度约为21 m,优于LP150Q和SGM150计算结果。

     

    Abstract: With the latest lunar gravity field model GL0660b and LP 150Q, SGM150, we analyze the influence of different lunar gravity field models on orbit determination of CE-3. Firstly, the power spectrum and error spectrum of these three models are discussed. GL0660b model improves the spatial resolution and precision of spherical harmonic coefficients significantly.Then the free-air gravity anomaly of these three lunar gravity models are compared by truncating to different orders and degrees at different height.These three gravity field models are applied in the precision orbit determination. The results show that position overlap differences of 100 km×100 km orbit are about 22 m with GL0660b model truncated to 150 orders and degrees, the same level as those using LP150Q model and SGM150 model in full orders and degrees. For 100 km×15 km orbit, position overlap differences with GL0660b model truncated to 360 orders and degrees are at a level of 21 m, which is better than those using LP150Q and SGM150.

     

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