56292 20210121114525.0 doi 10.1007/s10569-015-9644-1 sideral 92242 ART-2015-92242 eng (orcid)0000-0002-7620-4523 Casanova, D. Long-term evolution of space debris under the J2 effect, the solar radiation pressure and the solar and lunar perturbations 2015 Access copy available to the general public Unrestricted The aim of this paper is the development of a model to propagate space debris in the geostationary ring considering the J2 effect due to the Earth oblateness, the Sun and Moon perturbations, and the solar radiation pressure. We justify the importance of considering the J2 effect when propagating space debris independently of the ratio A / m for short and long-term propagation. We study the role of the Sun and the Moon in the period and amplitude of the inclination for different values of A / m. Thanks to the Hamiltonian formulation of the problem and the use of Poincaré’s variables it is possible to express the evolution of the space debris through a simplified dynamical system. We test and validate our obtained analytical solutions with the numerical ones, computed with a powerful integrator named NIMASTEP. We analyse the improvements obtained when we include the J2 effect and the third body perturbations by a rigorous comparison with a previous model, which only considers the solar radiation pressure. Finally, we study the effect of the area-to-mass ratio on short and long-term propagation. info:eu-repo/grantAgreement/ES/UZ/CUD-1315 info:eu-repo/grantAgreement/ES/MINECO/2013-44217-R info:eu-repo/semantics/openAccess by-nc http://creativecommons.org/licenses/by-nc/3.0/es/ 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 Petit, A. Lemaître, A. 123, 2 (2015), 223-238 Celest. mech. dyn. astron. Celestial Mechanics and Dynamical Astronomy 0923-2958 2410507 http://zaguan.unizar.es/record/56292/files/texto_completo.pdf Postprint 59487 http://zaguan.unizar.es/record/56292/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:56292 articulos driver 2021-01-21-11:06:06 ARTICLE