With the adoption of efficient low-thrust propulsion methods, the probability of a missed thrust event occurring has become a significant concern for short and long-duration missions. If the missed thrust event occurs during a critical portion of the trajectory, the mission can be compromised. Therefore, it is essential to develop trajectories that are resilient to missed thrust events. This paper investigates the use of expected thrust fraction, which embeds the stochastic nature of missed thrust events into a deterministic optimal control problem. The Technique is applied to a sample Mars-to-Earth trajectory. The performance of trajectories designed using expected thrust fraction is compared with traditionally designed trajectories and trajectories with a forced terminal coast. Thus, the changes in resiliency to missed thrust events are quantified. In this investigation, trajectories designed using expected thrust fraction arrive with a median lateness which is approximately half that of traditionally designed trajectories for a negligible change in delivered mass. Expected thrust fraction can help astrodynamicists mitigate risks posed by the use of low-thrust propulsion.

随着采用有效的低推力推进方法，错过短时推力事件的可能性已成为短期和长期任务的重要问题。如果错过的推力事件发生在轨迹的关键部分，则任务可能会受到影响。因此，至关重要的是要开发出对错过的推力事件具有弹性的轨迹。本文研究了预期推力分数的使用，该理论将错过的推力事件的随机性质嵌入到确定性的最优控制问题中。该技术应用于样本火星到地球的轨迹。将使用预期推力比设计的轨迹的性能与传统设计的轨迹和带有强制末端滑行的轨迹进行比较。因此，对错过的推力事件的回弹力变化进行了量化。在这项研究中，使用预期推力比设计的轨迹的中值迟延时间大约是传统设计轨迹的一半，因为传递质量的变化可忽略不计。预期的推力分数可以帮助天文学家减轻使用低推力推进器带来的风险。