基于蒙特卡罗法的月球探测器着陆稳定性分析

为了验证月球探测器的软着陆性能,建立了月球探测器着陆过程多体动力学仿真分析模型.由于探测器着陆地点及初始着陆条件的不确定性,采用蒙特卡罗法对探测器的着陆稳定性进行了研究.为了提高蒙特卡罗模拟的效率,采用了基于均值估计相对误差的蒙特卡罗模拟终止准则,从而在保证精度的前提下减少计算成本.通过着陆仿真试验,获得了探测器在给定坡度的月面上着陆时,各着陆性能参数的分布均值、方差及相应的置信区间等统计学结果,并计算了探测器安全着陆的可靠度.

Landing stability analysis of the lunar lander based on Monte Carlo approach

A multi-body touchdown dynamics simulation model was established for predicting landing performances of the lunar lander. Because of the uncertainty of the landing site and initial landing conditions of the lander at touchdown, a Monte Carlo dynamic analysis was performed to study the landing stability of the lunar lander. A stopping rule based on the relative error of the mean estimate was adopted for determining the run length of the Monte Carlo simulation. Through the landing simulation experiments on the lunar surface with a certain slope, statistical results of the landing performance parameters such as the means, variances and corresponding confidence intervals were obtained and the reliability for stable landing was finally computed.