Design of transfer trajectories between resonant orbits in the Earth–Moon restricted problem
Design of transfer trajectories between resonant orbits in the Earth–Moon restricted problem
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DOI：
10.1016/j.actaastro.2013.05.006
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发表时间：
2014
影响因子：
3.5
通讯作者：
M. Vaquero;K. Howell
中科院分区：
文献类型：
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作者：
M. Vaquero;K. Howell
动力系统技术在任务设计中的应用表明，采用不变流形和共振飞行使以前未知的轨迹选择成为可能，并潜在地降低ΔV的要求。在这项研究中，分析和编目了地月系统中的平面和三维共振轨道，并借助高维Poincaré映射计算和可视化了相关的不变流形结构。通过映射来探索与多个共振轨道相关联的流形轨迹之间的关系，目的是构建共振转移弧。结果，在地月系统中，确定了不稳定周期共振轨道之间的平面和三维同宿型和异宿型轨道。为了进一步说明2D和3D共振轨道在初步轨道设计中的适用性，构造了到L 5号附近的平面转移和到3D周期轨道的平面外转移，3D周期轨道环绕整个地月系统。设计过程利用与月球共振的轨道相关的不变流形作为转移机制。
The application of dynamical systems techniques to mission design has demonstrated that employing invariant manifolds and resonant flybys enables previously unknown trajectory options and potentially reduces the Δ V requirements. In this investigation, planar and three-dimensional resonant orbits are analyzed and cataloged in the Earth–Moon system and the associated invariant manifold structures are computed and visualized with the aid of higher-dimensional Poincaré maps. The relationship between the manifold trajectories associated with multiple resonant orbits is explored through the maps with the objective of constructing resonant transfer arcs. As a result, planar and three-dimensional homoclinic-and heteroclinic-type trajectories between unstable periodic resonant orbits are identified in the Earth–Moon system. To further illustrate the applicability of 2D and 3D resonant orbits in preliminary trajectory design, planar transfers to the vicinity of L 5 and an out-of-plane transfer to a 3D periodic orbit, one that tours the entire Earth–Moon system, are constructed. The design process exploits the invariant manifolds associated with orbits in resonance with the Moon as transfer mechanisms.