On the elliptic restricted three-body problem |
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Authors: | Jaume Llibre Conxita Piñol |
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Institution: | (1) Secció de Matematiques, Facultat de Ciències, Universitat Autònoma de Barcelona, 08193 Bellaterra, Spain;(2) Departament d'Economía i Historia Econòmica, Facultat de Ciències Econòmiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Spain |
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Abstract: | The main goal of this paper is to show that the elliptic restricted three-body problem has ejection-collision orbits when the mass parameter µ is small enough. We make use of the blow up techniques. Moreover, we describe the global flow of the elliptic problem when µ = 0 taking into account the singularities due to collision and to infinity. |
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