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在火星着陆任务设计中,为高效地评估进入点导航误差等动力学方程中的不确定因素对着陆精度的影响,引入Galerkin投影法则,提出一种火星着陆落点不确定度快速预报与分析方法.该方法采用Wiener-Askey正交多项式逼近着陆器状态,将落点误差的预报问题转换为1个确定性微分方程的求解问题.最后以我国未来实施火星着陆探测为背景,分别用本文算法和蒙特卡洛方法进行数值仿真分析,结果表明,本文算法能够对落点偏差进行快速分析,准确预测其均值和方差,且计算效率明显提高.
In the design of Mars landing mission, in order to efficiently evaluate the impact of uncertainties in the dynamic equations of entry navigation error on landing accuracy, the Galerkin projection rule is introduced and a method for rapid prediction and analysis of landing uncertainty of Mars landing is proposed This method uses the Wiener-Askey orthogonal polynomial to approach the state of the lander, and transforms the prediction error of the landing error into a deterministic differential equation.Finally, based on the future Mars exploration landing in China, Monte Carlo method. The results show that the proposed algorithm can quickly analyze the falling point deviations, accurately predict its mean and variance, and the computational efficiency is obviously improved.