Dynamical structures in a low-thrust, multi-body model with applications to trajectory design
Dynamical structures in a low-thrust, multi-body model with applications to trajectory design
复制标题
低推力多体模型中的动态结构及其在轨迹设计中的应用
DOI：
10.1007/s10569-019-9891-7
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发表时间：
2019
影响因子：
1.6
通讯作者：
D. Folta
中科院分区：
文献类型：
--
作者：
Andrew D. Cox;K. Howell;D. Folta
低推力弹道设计的一个关键挑战是生成初步解决方案，同时详细说明航天器位置和速度矢量的演变，以及推力历史。为了解决这一困难，探索了组合小推力圆形约束三体问题(CR3BP-LT)中的动力学结构作为种子初始小推力轨道设计的候选解。此外，来自动力系统理论的见解被用来指导设计过程。在组合模型中，低推力的添加改变了平衡的位置和稳定性，导致流动形态与CR3BP中的自然行为不同。在平衡点附近的周期解族提供了可用于初始设计的新颖几何形状。此外，简化假设的应用产生了一个保守的、自治的系统，其属性提供了有用的见解。在这样一个简化的系统中，固定能级的“禁区”约束了小推力运动，并且可以用解析方程来指导在能量空间中的导航。周期轨道及其相关流形也具有有用的性质，其行为类似于简化区域中的分离线。这些结构和见解被用来设计地球-月球CR3BP-LT的凌日和捕获轨迹。
A key challenge in low-thrust trajectory design is generating preliminary solutions that simultaneously detail the evolution of the spacecraft position and velocity vectors, as well as the thrust history. To address this difficulty, dynamical structures within a combined low-thrust circular restricted 3-body problem (CR3BP-LT) are explored as candidate solutions to seed initial low-thrust trajectory designs. Furthermore, insights from dynamical systems theory are leveraged to inform the design process. In the combined model, the addition of a low-thrust force modifies the locations and stability of the equilibria, resulting in flow configurations that differ from the natural behavior in the CR3BP. Families of periodic solutions in the vicinity of the equilibria supply novel geometries that may be employed in initial designs. Additionally, the application of simplifying assumptions yields a conservative, autonomous system with properties that supply useful insights. “Forbidden regions” at fixed energy levels bound low-thrust motion in such a simplified system, and analytical equations are available to guide the navigation through energy space. Periodic orbits and their associated manifolds also possess useful properties and act similarly to separatrices in the simplified regime. These structures and insights are employed to design transit and capture trajectories in the Earth-Moon CR3BP-LT.