Abstract 4D Lattice Flower Constellations is a new constellation design framework, based on the previous 2D and 3D Lattice theories of Flower Constellations, that focus on the generation of constellations whose satellites can have different semi-major axis and still present a constellation structure that is maintained during the dynamic of the system. This situation can arise when dealing with satellites with very different instruments, or when it is of interest to coordinate two different constellations. In that sense, 4D Lattice Flower Constellations constitutes the most general representation of the Flower Constellation formulation. In addition, the effects of the J 2 perturbation are taken into account in order to generate distributions that maintain their initial design configuration under this perturbation for longer periods of time with a low fuel budget. Finally, examples of application are presented, showing the possibilities in satellite constellation design of this new approach.

中文翻译：

---

4D晶格花星座

摘要 4D Lattice Flower Constellations是一种新的星座设计框架，基于之前Flower Constellations的2D和3D Lattice理论，专注于生成卫星可以具有不同半长轴的星座，并且仍然保持星座结构不变。在系统动态过程中。这种情况可能发生在处理使用非常不同的仪器的卫星时，或者当需要协调两个不同的星座时。从这个意义上说，4D Lattice Flower Constellations 构成了 Flower Constellation 公式的最一般表示。此外，J 2 扰动的影响被考虑在内，以生成在这种扰动下保持其初始设计配置的分布，并在较低的燃料预算下更长时间。最后，给出了应用实例，展示了这种新方法在卫星星座设计中的可能性。