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• W3022132337 endingPage "3743" @default.
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• W3022132337 abstract "• Methodology devised for the generation of congruent distributions in modular spaces. • Formulation of the problem in terms of Number Theory. • Mathematical generalization of Walker, Draim, and Flower Constellations. • Devised for optimization techniques in distribution problems. • The methodology allows to limit the size of the searching space. This work introduces the n -dimensional congruent lattices using necklaces, a general methodology to generate uniform distributions in multidimensional modular spaces. The formulation presented in this manuscript constitutes the mathematical foundation of the most used satellite constellation designs, including Walker Constellations, and Lattice and Necklace Flower Constellations. These constellation design models are based on Number Theory and allow to obtain distributions that have some interesting properties of uniformity and large number of symmetries. This work includes the complete formulation of the methodology, proofs for existence and uniqueness of the distribution definitions, and several theorems that focus on the counting possibilities of design for the most common cases of study." @default.
• W3022132337 created "2020-05-13" @default.
• W3022132337 creator A5041232007 @default.
• W3022132337 creator A5060876300 @default.
• W3022132337 creator A5061419792 @default.
• W3022132337 date "2021-06-01" @default.
• W3022132337 modified "2023-10-03" @default.
• W3022132337 title "n-Dimensional congruent lattices using necklaces" @default.
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• W3022132337 doi "https://doi.org/10.1016/j.asr.2020.04.045" @default.
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