A compact model for the planar rhomboidal 4-body problem |
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Authors: | Ernesto A. Lacomba Ernesto Pérez-Chavela |
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Affiliation: | (1) Departamento de Matemáticas Universidad Autónoma Metropolitana, Iztapalapa Apartado postal 55-532, Código Postal 09340 Mexico City, Mexico |
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Abstract: | We obtain a compact model for the global study of the planar rhomboidal 4-body problem in a level of constant negative energy. This model is a variation of the non compact model obtained through a McGehee blow up transformation. but compactness permits to obtain results which are not clear in the other case. |
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Keywords: | Singularity collisions blow up projective transformations total collision manifold global flow |
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