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Periodic orbits of the planar collision restricted 3-body problem |
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| Authors: | Jaume Llibre Daniel Pa?ca |
| Institution: | (1) Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Spain;(2) Department of Mathematics and Informatics, University of Oradea, University Street 1, 410087 Oradea, Romania;(3) Present address: Centre de Recerca Matemàtica, 08193 Bellaterra, Barcelona, Spain |
| Abstract: | Using the continuation method we prove that the circular and the elliptic symmetric periodic orbits of the planar rotating Kepler problem can be continued into periodic orbits of the planar collision restricted 3-body problem. Additionally, we also continue to this restricted problem the so called “comet orbits”. An erratum to this article can be found at |
| Keywords: | Collision restricted 3-body problem Continuation method Periodic orbits |
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