Resumen: In this paper, given a certain number of satellites, which is limited due to the sort of mission or economical reasons, the Flower Constellation with satellites which has the best geometrical configuration for a certain global coverage problem is sought by using evolutionary algorithms. In particular, genetic algorithm and particle swarm optimization algorithm are used. As a measure of optimality, the Geometric Dilution Of Precision (GDOP) value over points randomly and uniformly distributed over the Earth surface during the propagation time is used. The GDOP function, which depends on the geometry of the satellites with respect to the points over the Earth surface (as ground stations), corresponds to the fitness function of the evolutionary algorithms used throughout this work. Two different techniques are shown in this paper to reduce the computational cost of the search process: one that reduces the search space and the other that reduces the propagation time. The GDOP-optimal Flower Constellations are obtained when the number of satellites varies between 18 and 40. These configurations are analyzed and compared. Owing to the Flower Constellation theory we find explicit examples where eccentric orbits outperform circular ones for a global positioning system. Idioma: Inglés DOI: 10.1016/j.ast.2014.09.017 Año: 2014 Publicado en: AEROSPACE SCIENCE AND TECHNOLOGY 39 (2014), 331-337 ISSN: 1270-9638 Factor impacto JCR: 0.94 (2014) Categ. JCR: ENGINEERING, AEROSPACE rank: 8 / 29 = 0.276 (2014) - Q2 - T1 Financiación: info:eu-repo/grantAgreement/ES/MINECO/ESP2013-44217-R Tipo y forma: Article (PostPrint)