124452 20241125101150.0 doi 10.1007/s10569-022-10118-z sideral 132851 ART-2023-132851 eng Abad, A. Universidad de Zaragoza (orcid)0000-0002-5692-5876 Evolution of the characteristic curves in the restricted three-body problem in terms of the mass parameter 2023 Access copy available to the general public Unrestricted In this work, we study the evolution of the families of simple symmetric periodic orbits in the restricted three-body problem whatever the value of the mass parameter μ. To classify these characteristic curves, we introduce a topological characterization of both orbits and families. Starting from the work of Strömgren for the Copenhagen case, we analyze the evolution of these families, when the mass parameter μ varies in (0, 1/2], focusing on their topological characterization, the existence of asymptotic points and the appearance of certain types of orbits such as horseshoe orbits. Lastly, we consider two samples, the Earth–Moon and Sun–Jupiter systems and classify the different types of orbits for these systems. info:eu-repo/grantAgreement/ES/DGA-FSE/E24-20R info:eu-repo/grantAgreement/ES/MICINN/PID2020-117066GB-I00 info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 1.6 2023 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS 70 / 135 = 0.519 2023 Q3 T2 ASTRONOMY & ASTROPHYSICS 51 / 84 = 0.607 2023 Q3 T2 0.521 2023 Applied Mathematics 2023 Q2 Astronomy and Astrophysics 2023 Q2 Computational Mathematics 2023 Q2 Mathematical Physics 2023 Q2 Modeling and Simulation 2023 Q2 Space and Planetary Science 2023 Q3 3.0 2023 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Arribas, M. Universidad de Zaragoza (orcid)0000-0002-4426-6885 Palacios, M. (orcid)0000-0002-1374-4645 Elipe, A. Universidad de Zaragoza (orcid)0000-0001-5208-4494 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 2004 398 Universidad de Zaragoza Dpto. Física Teórica Área Física de la Tierra 135, 2 (2023), [23 pp.] Celest. mech. dyn. astron. Celestial Mechanics and Dynamical Astronomy 0923-2958 1597188 http://zaguan.unizar.es/record/124452/files/texto_completo.pdf Versión publicada 1223528 http://zaguan.unizar.es/record/124452/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:124452 articulos driver 2024-11-22-12:06:43 ARTICLE