Global Flow of Kepler's Collinear Problem with Brana Worlds perturbation
Abstract
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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References
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