101511 20240122154814.0 doi 10.1016/j.asr.2020.04.045 sideral 118257 ART-2021-118257 eng Arnas, D. (orcid)0000-0002-8507-4679 n-Dimensional congruent lattices using necklaces 2021 Access copy available to the general public Unrestricted 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. info:eu-repo/grantAgreement/ES/DGA-FSE/E24-17R info:eu-repo/grantAgreement/ES/MINECO-AEI-FEDER/ESP2017-87113-R info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 2.611 2021 ENGINEERING, AEROSPACE 10 / 34 = 0.294 2021 Q2 T1 GEOSCIENCES, MULTIDISCIPLINARY 120 / 202 = 0.594 2021 Q3 T2 METEOROLOGY & ATMOSPHERIC SCIENCES 66 / 94 = 0.702 2021 Q3 T3 ASTRONOMY & ASTROPHYSICS 35 / 69 = 0.507 2021 Q3 T2 0.613 2021 Aerospace Engineering 2021 Q2 Astronomy and Astrophysics 2021 Q2 Space and Planetary Science 2021 Q2 Geophysics 2021 Q2 Atmospheric Science 2021 Q2 4.7 2021 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Casanova, D. (orcid)0000-0002-7620-4523 Tresaco, E. (orcid)0000-0003-4859-7224 67, 11 (2021), 3725-3743 Adv. space res. Advances in Space Research 0273-1177 485351 http://zaguan.unizar.es/record/101511/files/texto_completo.pdf Postprint 2439119 http://zaguan.unizar.es/record/101511/files/texto_completo.jpg?subformat=icon icon Postprint https://www.sciencedirect.com/science/article/pii/S0273117720302970?dgcid=coauthor Texto completo de la revista oai:zaguan.unizar.es:101511 articulos driver 2024-01-22-15:33:44 ARTICLE