Muñoz Almaraz, Francisco JavierGalán Vioque, Jorge FranciscoFreire Macías, EmilioPalacián Subiela, Jesús FranciscoYanguas Sayas, Patricia2020-07-032020-07-032004Muñoz Almaraz, F.J., Galán Vioque, J.F. y Freire Macías, E. (2004). Families of symmetric periodic orbits in the three body problem and the figure eight. Monografías de la Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, 25, 229-240.1132-6360https://hdl.handle.net/11441/98726Ejemplar dedicado a: Actas de las VI Jornadas de Mecánica CelesteIn this paper we show a technique for the continuation of symmetric periodic orbits in systems with time-reversal symmetries. The geometric idea of this technique allows us to generalize the “cylinder” theorem for this kind of systems. We state the main theoretical result without proof (to be published elsewhere). We focus on the application of this scheme to the three body problem (TBP), taking as starting point the figure eight orbit [3] to find families of symmetric periodic orbits.application/pdf12 p.engAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Hamiltonian and conservative systemsPeriodic solutionsNumerical continuationBoundary value problemsThree-body problemFigure-8 orbitinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess