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Universitat Politècnica de Catalunya. Departament de Matemàtiques
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Universitat Politècnica de Catalunya. Doctorat en Matemàtica Aplicada
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Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental
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Universitat Politècnica de Catalunya. SD - Sistemes Dinàmics de la UPC
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Ollé Torner, Mercè
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Rodríguez del Río, Óscar
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Soler Villanueva, Jaume
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Olle, M.; Rodriguez, O.; Soler, J. Regularisation in ejection-collision orbits of the RTBP. A: Second Meeting of the Brazilian and Spanish mathematical societies. "Recent Advances in Pure and Applied Mathematics". 2018, p. 35-47. ISBN 978-3-030-41321-7. DOI 10.1007/978-3-030-41321-7_3.
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978-3-030-41321-7
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https://hdl.handle.net/2117/336032
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10.1007/978-3-030-41321-7_3
dc.description.abstract
The final publication is available at link.springer.com
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Numerical explorations confirm well-known analytical results on the ex-istence of ejection-collision orbits in the restricted three-body problem for veryrestrictive values of the Jacobi constantC. For different values ofCsome new typesof ejection-collision orbits are found. The concept ofn-ejection-collision orbit isintroduced and numerical explorations are carried out which show a very rich dy-namics when Hill regions contain both primaries. Complete details on the numericalmethods and the bifurcations of the different families of orbits are given in thereferences
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M. Ollé and O. Rodríguez were supported by the Spanish MINECO/FEDER grants MTM2015-65715-P, PGC2018-100928-B-100 and the Catalan grant 2017SGR-1049. J. Soler was supported by MINECO/FEDER grant number MTM2016-77278-P.
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Peer Reviewed
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Postprint (author's final draft)
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application/pdf
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https://link.springer.com/chapter/10.1007/978-3-030-41321-7_3
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Àrees temàtiques de la UPC::Matemàtiques i estadística
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Classificació AMS::55 Algebraic topology
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Regularisation in ejection-collision orbits of the RTBP
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Conference report