000131022 001__ 131022 000131022 005__ 20240202151704.0 000131022 0247_ $$2doi$$a10.1109/TAES.2014.120269 000131022 0248_ $$2sideral$$a87655 000131022 037__ $$aART-2014-87655 000131022 041__ $$aeng 000131022 100__ $$0(orcid)0000-0002-7620-4523$$aCasanova, D. 000131022 245__ $$aDesign of flower constellations using necklaces 000131022 260__ $$c2014 000131022 5060_ $$aAccess copy available to the general public$$fUnrestricted 000131022 5203_ $$aThis paper introduces a new approach in the design of optimal satellite constellations comprising few satellites and characterized by symmetric distribution. Typical examples are missions requiring persistent observation of sites or regions for intelligence or science. To minimize the number of satellites, the mathematical necklace theory is applied to the two-dimensional Lattice Flower Constellation framework. The necklace theory identifies in the phasing space all satellite subsets characterized by symmetric distributions. Mathematically, these subsets are parameterized by necklaces, identifying the actual satellite locations in the first orbital plane and a shifting parameter governing phasing between subsequent orbital planes. This article specifically targets the emerging importance of small satellite formations and constellations. 000131022 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000131022 590__ $$a1.757$$b2014 000131022 591__ $$aTELECOMMUNICATIONS$$b18 / 76 = 0.237$$c2014$$dQ1$$eT1 000131022 591__ $$aENGINEERING, AEROSPACE$$b2 / 29 = 0.069$$c2014$$dQ1$$eT1 000131022 591__ $$aENGINEERING, ELECTRICAL & ELECTRONIC$$b78 / 247 = 0.316$$c2014$$dQ2$$eT1 000131022 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion 000131022 700__ $$aAvendano, M. E. 000131022 700__ $$aMortari, D. 000131022 773__ $$g50, 2 (2014), 1347-1358$$pIEEE trans. aerosp. electron. syst.$$tIEEE TRANSACTIONS ON AEROSPACE AND ELECTRONIC SYSTEMS$$x0018-9251 000131022 8564_ $$s1588640$$uhttps://zaguan.unizar.es/record/131022/files/texto_completo.pdf$$yPostprint 000131022 8564_ $$s2735928$$uhttps://zaguan.unizar.es/record/131022/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint 000131022 909CO $$ooai:zaguan.unizar.es:131022$$particulos$$pdriver 000131022 951__ $$a2024-02-02-14:53:54 000131022 980__ $$aARTICLE