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A compact model for the planar rhomboidal 4-body problem
Authors:Ernesto A Lacomba  Ernesto Pérez-Chavela
Institution:(1) Departamento de Matemáticas Universidad Autónoma Metropolitana, Iztapalapa Apartado postal 55-532, Código Postal 09340 Mexico City, Mexico
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.
Keywords:Singularity collisions  blow up  projective transformations  total collision manifold  global flow
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