Periodic orbits of an electric charge in a magnetic dipole field |
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Authors: | Lidia Jiménez-Lara Eduardo Piña |
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Affiliation: | (1) Departamento de Física, Universidad Autónoma Metropolitana Iztapalopa, Apartado Postal 55 534, 09340, México D.F.;(2) Instituto National de Investigaciónes Nucleares, Salazar, Mexico |
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Abstract: | Periodic orbits in the Stormer problem are studied using the symmetry lines of the Poincaré map introduced by De Vogelaere. Many known facts are explained by mean of these lines. The dynamics of four special symmetry lines when the Stormer parameter 1 changes is presented, and we obtain a clear global view of the structure of the simple periodic orbits and their bifurcations, including the asymmetrical ones. New asymmetrical multiple periodic orbits are obtained. |
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Keywords: | Periodic orbits symmetric orbits asymmetrical orbits Stö rmer problem bifurcations |
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