The paper presents a novel 3-dimensional shape-based algorithm which extends the domain of analytical solutions to planeto-centric mission scenarios, which classically entail even thousands revolutions to transfer to the final orbit. Thanks to the strong physical meaning the proposed method keeps while shaping the trajectory, the method succeeds in outputting a solution close to the real optimum. The proposed approach allows to easily formalize practical mission constraints, such as maximum thrust threshold and eclipses; free and fixed time of flight is manageable as well. The approach is almost completely analytic, which is beneficial as it significantly decreases the computational load. It is well suited for complex mission scenarios and for fast detection near optimal solutions to support the whole mission design.

中文翻译：

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用于以行星为中心的多旋转任务场景的椭圆形状模型

该论文提出了一种新颖的基于 3 维形状的算法，该算法将解析解的领域扩展到以行星为中心的任务场景，通常需要甚至数千次旋转才能转移到最终轨道。由于所提出的方法在塑造轨迹时保持的强物理意义，该方法成功地输出了接近真实最优的解决方案。所提出的方法允许轻松地将实际任务约束形式化，例如最大推力阈值和日食；免费和固定的飞行时间也是可以管理的。该方法几乎是完全解析的，这是有益的，因为它显着降低了计算负载。它非常适合复杂的任务场景和快速检测接近最优的解决方案，以支持整个任务设计。