Global Flow of Kepler's Collinear Problem with Brana Worlds perturbation
In this work we analyze the Kepler collinear problem under the influence of a perturbation coming from Brane Worlds $ (\lambda \cos x) / x $, for $ \lambda \in \mathbb{R}^+$. In the first part, we make a detailed analysis of the perturbation potential, then, the phase portraits are constructed for d...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2022 |
| País: | México |
| Institución: | UNIVERSIDAD AUTÓNOMA DEL ESTADO DE HIDALGO |
| Repositorio: | PÄDI Boletín Científico de Ciencias Básicas e Ingeniería del ICBI |
| Idioma: | español |
| OAI Identifier: | oai:repository.uaeh.edu.mx:article/8590 |
| Acceso en línea: | https://repository.uaeh.edu.mx/revistas/index.php/icbi/article/view/8590 |
| Access Level: | acceso abierto |
| Palabra clave: | Kepler's problem portrait phase explosion Brane worlds Problema de Kepler retrato fase explosión Mundos Brana |
| Sumario: | In this work we analyze the Kepler collinear problem under the influence of a perturbation coming from Brane Worlds $ (\lambda \cos x) / x $, for $ \lambda \in \mathbb{R}^+$. In the first part, we make a detailed analysis of the perturbation potential, then, the phase portraits are constructed for different values of the perturbation parameter $ \lambda $. Using the explosion technique, singularities due to collision and leaks to infinity are regularized. Finally, a global characterization of the flow is carried out. |
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