行星际深空探测中双程测速的高精度计算方法

High Precision Computational Method of Two-Way Range-Rate in Long-Distance Deep Space Exploration

  • 摘要: 对于行星际深空探测(距地球1亿km以上)任务,由于受到计算机字长的限制,传统双程测速模型的计算精度无法满足高精度定轨的需要,其最大误差源于多普勒频移周计数终点和始点上行几何距离之间和下行几何距离之间差分值的计算过程。对此建立行星际双程测速模型,高精度地计算了两个差分值,推导模型的计算公式并给出详细步骤,同时给出计算过程中需要的切比雪夫差分多项式递推公式的形式。将该模型在深空探测器精密定轨与重力场解算软件系统(Wuhan University deep-space orbit determination and gravity recovery system,WUDOGS)中进行了实现,并以欧空局火星快车号(Mars express,MEX)探测任务为背景,利用该软件进行仿真测试,从计算精度和定轨结果两个方面验证该模型的优越性。结果表明,该模型将双程测速的计算值在计算机中表达的精度提高2个数量级,同时避免了定轨过程中引入额外的数值误差,可以为后续高精度的行星际深空探测任务的定轨提供参考。

     

    Abstract: For precise orbit determination of deep space exploration, precision of traditional two-way range-rate model is limited by computers' word length, where the main error source is the simple differenciation of two subsequent Newtonian ranges(up-leg and down-leg) devided by the counting interval. So interplanetary two-way range-rate model is built up in this paper to compute these two necessary differences highy precisely. Of course, we give the formula of this new model and its detailed steps as well as necessary recursion formula of Chebyshev differential polynomial. The new model is implemented in Wuhan University deep-space orbit determination and gravity recovery system-WUDOGS and two scenarios of simulation are adopted to validate it from two aspects:precision of calculation values and initial orbit based on Mars express mission. Simulating results show that the new model can improve precision of calculation values by two orders of magnitude, and reduce extra numerical error during orbit determination, which can provide reference for orbit determination in long-distance deep space exploration of high precision in China.

     

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