This paper describes the approach used by the team named the Eccentric Anomalies to obtain the sixth best solution to the problem of the eleventh Global Trajectory Optimization Competition, whose futuristic scenario of Dyson sphere building remained mathematically relevant for current space mission design and engineering in general. As usual for this recurring challenge, it involved large-scale combinatorics at a high level and a multitude of optimal control problems at a lower level. Furthermore it proposed additional layers of complexity by adding a strong scheduling component to the usual flyby sequencing, and by featuring both impulsive and continuous-thrust trajectories. The authors took advantage of modern theoretical techniques and open-source tools to put together a sequential process including analysis based on analytical trajectory models, tree searches using efficient data structures, global and local finite-dimensional optimization and multi-objective trade-offs. The optimal control part was both tackled with direct transcription as well as indirect shooting methods, and the mixed-integer scheduling reformulated as a bi-level optimization. From a programming point of view, the main framework was set in an interpreted language whilst using as much as possible dependencies written in compiled ones for speed.

本文描述了名为 Eccentric Anomalies 的团队使用的方法，以获得第十一届全球轨迹优化竞赛问题的第六个最佳解决方案，其戴森球体构建的未来场景在数学上与当前的太空任务设计和工程总体上保持相关。与这个反复出现的挑战一样，它涉及高层次的大规模组合学和低层次的大量最优控制问题。此外，它通过在通常的飞越排序中添加强大的调度组件，并通过同时具有脉冲和连续推力轨迹，提出了额外的复杂层。作者利用现代理论技术和开源工具整合了一个顺序过程，包括基于分析轨迹模型的分析、使用高效数据结构的树搜索、全局和局部有限维优化以及多目标权衡。最优控制部分采用直接转录和间接射击方法解决，混合整数调度重新制定为双层优化。从编程的角度来看，主要框架是用解释语言设置的，同时尽可能多地使用编译语言编写的依赖项以提高速度。最优控制部分采用直接转录和间接射击方法解决，混合整数调度重新制定为双层优化。从编程的角度来看，主要框架是用解释语言设置的，同时尽可能多地使用编译语言编写的依赖项以提高速度。最优控制部分采用直接转录和间接射击方法解决，混合整数调度重新制定为双层优化。从编程的角度来看，主要框架是用解释语言设置的，同时尽可能多地使用编译语言编写的依赖项以提高速度。