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Trajectory optimization and maintenance for ascending from the surface of Phobos
Advances in Space Research ( IF 2.6 ) Pub Date : 2021-06-21 , DOI: 10.1016/j.asr.2021.06.026
Xiaojie Wu , Yue Wang , Ming Xu

The ascending trajectory from the surface of Phobos to a resonant quasi-satellite orbit around Phobos is investigated with a newly proposed dynamical model based on the Elliptic Restricted Three-Body Problem. The proposed model incorporates the non-spherical gravity field and physical libration of Phobos as well. The trajectories from the surface of Phobos are classified into three types according to their z-componentsas short-, middle-, and long-term ascending trajectories. The total ΔV of the two-impulse ascending trajectories is optimized with the particle swarm optimization method. The total ΔV and time of flight of the optimized ascending trajectories are analyzed, and the Pareto Front is refined from the optimized solutions. A multi-impulse maintenance strategy based on the target point method is constructed to ensure that the ascender can insert into the target orbit accurately along the nominal trajectory in the real environment. The robustness of the maintenance strategy is validated by Monte-Carlo simulations in a high-fidelity model, i.e., the N-body problem with the ephemeris, Phobos’ physical libration, non-spherical gravity field of Phobos, and a Gaussian uncertain perturbation. The number of the correction impulses needed is highly positively correlated with the time of flight of the trajectory. Based on the results, middle-term ascending trajectories with less time of flight on the Pareto Front are recommended.



中文翻译:

从火卫一表面上升的轨迹优化和维护

利用新提出的基于椭圆受限三体问题的动力学模型研究了从火卫一表面到火卫一共振准卫星轨道的上升轨迹。所提出的模型还结合了火卫一的非球形重力场和物理振动。火卫一表面的轨迹根据它们的z分量分为三种类型,即短期、中期和长期上升轨迹。总数Δ用粒子群优化方法优化了两个脉冲上升轨迹。总数Δ分析优化上升轨迹的飞行时间和飞行时间,并从优化解中细化帕累托前沿。构建了一种基于目标点法的多脉冲维护策略,确保上升器在真实环境中能够沿标称轨迹准确插入目标轨道。维护策略的稳健性通过高保真模型中的 Monte-Carlo 模拟得到验证,即星历的 N 体问题、Phobos 的物理振动、Phobos 的非球形重力场和高斯不确定扰动。所需校正脉冲的数量与轨迹的飞行时间高度正相关。根据结果​​,推荐在帕累托前沿飞行时间较短的中期上升轨迹。

更新日期:2021-08-24
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