NECKLACE THEORY ON FLOWER CONSTELLATIONS
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Theory of Flower Constellations has been improved with the 2-D and 3-D Lattice Flower Constellations. However, placing a satellite in each admissible location is not an optimal way to design a constellation. The necklace theory considers constellations whose satellites are subsets of the satellites of a Lattice Flower Constellation, keeping all its symmetries, in order to reduce the cost of the mission. Mathematically, these subsets are parameterized by necklaces (describing which satellites in the first orbit of the underlying constellation we keep), and a shifting parameter that controls the phasing between subsequent orbits.