周期轨道族内的多圈低推力转移
Many-Revolution Low-Thrust Transfers within Periodic Orbit Families
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中文总结 AI 辅助
本文提出降维流形空间初始化方法，结合积分配点直接法优化周期轨道族内三体多圈低推力转移，先应用于远逆行轨道族，再拓展至L₂晕族并讨论时间正则化改进。
中文摘要 AI 辅助
本文研究了降维流形空间初始化方法在生成周期轨道族内三体周期轨道间多圈低推力转移中的应用，该方法可同时实现时间最优与燃料最优。天平动点轨道族由多段切比雪夫多项式与一维傅里叶级数近似，控制量被映射至轨道族空间，利用轨道族空间动力学中的一维目标方案生成相空间的初始猜测，直接考虑轨道的绕转特性。随后采用基于积分配点的直接方法，先将可行轨迹延拓至相空间，再针对特定代价函数进行优化。该方法首先应用于远逆行轨道族，之后讨论了时间正则化动力学的改进方案，并给出了L₂晕族内多圈转移的示例。
英文摘要
This paper explores the use of a reduced manifold space initialization method for the generation of both time and fuel optimal many-revolution, low-thrust transfers between three-body periodic orbits within a family. Libration point orbit families are approximated by multi-segment Chebyshev polynomials and 1-dimensional Fourier series. Control is mapped into the family space, and a 1-dimensional targeting scheme in the family space dynamics is used to generate an initial guess for the phase space, directly accounting for winding. An integral collocation-based direct method is then used to first continue a feasible trajectory into the phase space, and then optimize for a particular cost function. The methodology is first applied to the distant retrograde orbit family. Modifications for time-regularized dynamics are then discussed, with an ensuing example of many-revolution transfers in the $L_2$ halo family.
