n-Dimensional congruent lattices using necklaces

Arnas, D. ; Casanova, D. ; Tresaco, E.

Resumen: 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.

Idioma: Inglés

DOI: 10.1016/j.asr.2020.04.045

Año: 2021

Publicado en: Advances in Space Research 67, 11 (2021), 3725-3743
ISSN: 0273-1177

Originalmente disponible en: Texto completo de la revista

Factor impacto JCR: 2.611 (2021)

Categ. JCR: ENGINEERING, AEROSPACE rank: 10 / 34 = 0.294 (2021) - Q2 - T1
Categ. JCR: GEOSCIENCES, MULTIDISCIPLINARY rank: 120 / 202 = 0.594 (2021) - Q3 - T2
Categ. JCR: METEOROLOGY & ATMOSPHERIC SCIENCES rank: 66 / 94 = 0.702 (2021) - Q3 - T3
Categ. JCR: ASTRONOMY & ASTROPHYSICS rank: 35 / 69 = 0.507 (2021) - Q3 - T2

Factor impacto CITESCORE: 4.7 - Engineering (Q2) - Earth and Planetary Sciences (Q2) - Physics and Astronomy (Q2)

Factor impacto SCIMAGO: 0.613 - Aerospace Engineering (Q2) - Astronomy and Astrophysics (Q2) - Space and Planetary Science (Q2) - Geophysics (Q2) - Atmospheric Science (Q2)

Financiación: info:eu-repo/grantAgreement/ES/DGA-FSE/E24-17R
Financiación: info:eu-repo/grantAgreement/ES/MINECO-AEI-FEDER/ESP2017-87113-R

Tipo y forma: Artículo (PostPrint)