Lattice-preserving Flower Constellations under J2 perturbations

Casanova, D. ; Avendaño, M. ; Tresaco, E.

Resumen: 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.

Idioma: Inglés

DOI: 10.1007/s10569-014-9583-2

Año: 2015

Publicado en: Celestial Mechanics and Dynamical Astronomy 121, 1 (2015), 83-100
ISSN: 0923-2958

Factor impacto JCR: 1.594 (2015)

Categ. JCR: MATHEMATICS, INTERDISCIPLINARY APPLICATIONS rank: 34 / 101 = 0.337 (2015) - Q2 - T2
Categ. JCR: ASTRONOMY & ASTROPHYSICS rank: 37 / 62 = 0.597 (2015) - Q3 - T2

Factor impacto SCIMAGO: 1.025 - Modeling and Simulation (Q1) - Mathematical Physics (Q1) - Space and Planetary Science (Q2) - Astronomy and Astrophysics (Q2) - Applied Mathematics (Q2) - Computational Mathematics (Q2)

Financiación: info:eu-repo/grantAgreement/ES/MINECO/ESP2013-44217-R
Financiación: info:eu-repo/grantAgreement/ES/UZ/CUD2013-15

Tipo y forma: Article (PostPrint)