130329 20240424134302.0 doi 10.1007/s10569-014-9583-2 sideral 89129 ART-2015-89129 eng Casanova, D. (orcid)0000-0002-7620-4523 Lattice-preserving Flower Constellations under J2 perturbations 2015 Access copy available to the general public Unrestricted 2D Lattice Flower Constellations (2D-LFCs) are stable in the Keplerian model. This means that a flower constellation maintains its structure (the lattice) at any instant of time. However, this is not necessarily true when the J2 harmonic is included in the gravitational potential of the Earth. This paper deals with the new theory of Lattice-preserving Flower Constellations, which shows how 2D-LFC can be designed in such a way that the relative displacement of the orbital parameters of its satellites is invariant even under the presence of the J2 effect. This is achieved following two different procedures: the first consists of the modification of the semi-major axis of all the satellites in a 2D-LFC slightly to control their orbital period, and the second consists of the modification of the values for the eccentricity and inclination, so that the perturbations result in motion that still preserves the lattice of the flower constellation. The proposed theory of Lattice-preserving Flower Constellations validates the theory of 3D Lattice Flower Constellations and has a wide range of potential applications. info:eu-repo/grantAgreement/ES/MINECO/ESP2013-44217-R info:eu-repo/grantAgreement/ES/UZ/CUD2013-15 info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 1.594 2015 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS 34 / 101 = 0.337 2015 Q2 T2 ASTRONOMY & ASTROPHYSICS 37 / 62 = 0.597 2015 Q3 T2 1.025 2015 Modeling and Simulation 2015 Q1 Mathematical Physics 2015 Q1 Space and Planetary Science 2015 Q2 Astronomy and Astrophysics 2015 Q2 Applied Mathematics 2015 Q2 Computational Mathematics 2015 Q2 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Avendaño, M. (orcid)0000-0001-9744-5732 Tresaco, E. (orcid)0000-0003-4859-7224 121, 1 (2015), 83-100 Celest. mech. dyn. astron. Celestial Mechanics and Dynamical Astronomy 0923-2958 691567 http://zaguan.unizar.es/record/130329/files/texto_completo.pdf Postprint 1265070 http://zaguan.unizar.es/record/130329/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:130329 articulos driver 2024-04-24-13:40:45 ARTICLE