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Floquet modes and stability analysis of periodic orbit-attitude solutions along Earth–Moon halo orbits
Celestial Mechanics and Dynamical Astronomy ( IF 1.6 ) Pub Date : 2021-07-14 , DOI: 10.1007/s10569-021-10030-y
Francesco Colombi 1 , Andrea Colagrossi 1 , Michèle Lavagna 1
Affiliation  

Future space programmes pose some interesting research problems in the field of non-Keplerian dynamics, being the Moon and the cislunar space central in the proposed roadmap for the future space exploration. In these regards, the deployment of a cislunar space station on a non-Keplerian orbit in the lunar vicinity is a fundamental milestone to be achieved. The paper investigates the natural orbit-attitude dynamics and the attitude stabilisation of coupled motions for extended bodies in the Earth–Moon system. The discussion is carried out analysing the phase space of natural dynamics, constituted by both the orbital and the rotational periodic motions of a spacecraft in cislunar orbits. Floquet theory is applied to periodic orbit-attitude solutions in lunar proximity, to characterise their attitude stability properties and their attitude manifolds, which are discussed and analysed focusing on their dynamical features applicable to cislunar environment. Attitude stabilisation methods are proposed and developed, with particular attention to spin-stabilised solutions. Periodic orbit-attitude dynamics are studied to highlight possible favourable conditions that may be exploited to host a cislunar space station with a simplified control action. The focus of the analysis is dedicated to halo orbits and near-rectilinear halo orbit in the circular restricted three-body problem Earth–Moon system.



中文翻译:

沿地月晕轨道的周期轨道-姿态解的 Floquet 模式和稳定性分析

未来的太空计划在非开普勒动力学领域提出了一些有趣的研究问题,月球和地月空间是未来太空探索路线图中的中心。在这些方面,在月球附近的非开普勒轨道上部署顺月空间站是一个有待实现的基本里程碑。该论文研究了地月系统中扩展体的自然轨道-姿态动力学和耦合运动的姿态稳定性。讨论是对自然动力学的相空间进行分析的,该相空间由顺月轨道上航天器的轨道和旋转周期运动构成。Floquet 理论应用于月球附近的周期性轨道-姿态解,以表征它们的姿态稳定性特性和姿态流形,重点讨论和分析了它们适用于地月环境的动力学特征。提出并开发了姿态稳定方法,特别关注自旋稳定解决方案。研究周期性轨道-姿态动力学以突出可能的有利条件,这些条件可用于通过简化的控制操作来承载地月空间站。分析的重点是在圆形受限三体问题地月系统中的晕轨道和近直线晕轨道。研究周期性轨道-姿态动力学以突出可能的有利条件,这些条件可用于通过简化的控制操作来承载地月空间站。分析的重点是在圆形受限三体问题地月系统中的晕轨道和近直线晕轨道。研究周期性轨道-姿态动力学以突出可能的有利条件,这些条件可用于通过简化的控制操作来承载地月空间站。分析的重点是在圆形受限三体问题地月系统中的晕轨道和近直线晕轨道。

更新日期:2021-07-14
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