Asymptotic density of collision orbits in the restricted circular planar 3 body problem

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Title:	Asymptotic density of collision orbits in the restricted circular planar 3 body problem
Author:	Guàrdia Munarriz, Marcel; Kaloshin, Vadim; Zhang, Jianlu
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. SD - Sistemes Dinàmics de la UPC
Abstract:	This is a post-peer-review, pre-copyedit version of an article published in Archive for rational mechanics and analysis. The final authenticated version is available online at: http://dx.doi.org/10.1007/s00205-019-01368-7”
Abstract:	For the Restricted Circular Planar 3 Body Problem, we show that there exists an open set U in phase space of fixed measure, where the set of initial points which lead to collision is O(µ120) dense as µ¿0 .
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística -Mechanics -Mecànica celest
Rights:	Attribution-NonCommercial-NoDerivs 3.0 Spain http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Document type:	Article - Submitted version Article
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