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Optimal phase-angle design for the powered-descent phase of lunar lander

机译:月球着陆器动力下降阶段的最佳相角设计

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In the optimal trajectory design problem for the lunar powered-descent phase, the periapsis of the de-orbit burn phase is usually chosen as a starting point or an initial state. The resultant trajectory in these cases shows that the altitude of the lander increases to gain more sufficient time to reduce large initial horizontal velocity. However, the periapsis of the de-orbit burn phase is not the optimal choice. In this study, the optimal initial phase angle can be found by applying the modified trajectory-optimization problem, where the initial state is considered as a free variable. In this problem, any additional assumption and change in hardware compared with the traditional optimal lunar-landing problem are not imposed except for the initial phase angle. Using the proposed numerical approach, we show that the optimal phase angle is not always equivalent to the periapsis, and fuel consumption can be reduced by changing the starting point of the powered descent phase.
机译:在月球动力下降阶段的最佳轨迹设计问题中,通常选择离轨燃烧阶段的围手术期作为起点或初始状态。在这些情况下的合成轨迹表明,着陆器的高度增加以获取更多的时间来减小较大的初始水平速度。但是,离轨烧伤阶段的围手术期不是最佳选择。在这项研究中,可以通过应用修正的轨迹优化问题找到最佳的初始相位角,其中初始状态被视为自由变量。在此问题中,除了初始相位角之外,不施加与传统最佳月球着陆问题相比的任何其他假设和硬件更改。使用所提出的数值方法,我们显示出最佳相位角并不总是等同于围手术期,并且可以通过改变动力下降阶段的起点来降低燃料消耗。

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