Abstract This work proposes the use of 2D Lattice Flower Constellations (2D-LFCs) to facilitate the design of a Low Earth Orbit (LEO) slotting system to avoid collisions between compliant satellites and to optimize the available orbital volume. Specifically, this manuscript proposes the use of concentric orbital shells of admissible “slots” with stacked intersecting orbits that preserve a minimum separation distance between satellites at all times. The problem is formulated in mathematical terms and three approaches are explored: random constellations, single 2D-LFCs, and unions of 2D-LFCs. Each approach is evaluated in terms of several metrics including capacity, Earth coverage, orbits per shell, and symmetries. Additionally, a rough estimate for the capacity of LEO is generated, subject to certain minimum separation and station-keeping assumptions, and several trade-offs are identified to guide policy-makers interested in the adoption of a LEO slotting scheme for space traffic management.

中文翻译：

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使用 2D 晶格花星座定义低地球轨道开槽架构

摘要 这项工作建议使用 2D 晶格花星座 (2D-LFC) 来促进低地球轨道 (LEO) 开槽系统的设计，以避免兼容卫星之间的碰撞并优化可用轨道体积。具体来说，这份手稿建议使用可接纳的“槽”的同心轨道壳，其堆叠的相交轨道始终保持卫星之间的最小间隔距离。该问题用数学术语表述，并探索了三种方法：随机星座、单个 2D-LFC 和 2D-​​LFC 的并集。每种方法都根据几个指标进行评估，包括容量、地球覆盖范围、每个壳的轨道和对称性。此外，还生成了对 LEO 容量的粗略估计，