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

Guàrdia Munarriz, Marcel; Kaloshin, Vadim; Zhang, Jianlu

doi:10.1007/s00205-019-01368-7

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Guàrdia Munarriz, Marcel

Kaloshin, Vadim

Zhang, Jianlu

Document typeArticle

Defense date2019-03-12

Rights accessOpen Access

Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 3.0 Spain

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 .

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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”

CitationGuardia, M.; Kaloshin, V.; Zhang, J. Asymptotic density of collision orbits in the restricted circular planar 3 body problem. "Archive for rational mechanics and analysis", 12 Març 2019, vol. 233, núm. 2, p. 799-836.

URIhttp://hdl.handle.net/2117/134269

DOI10.1007/s00205-019-01368-7

ISSN0003-9527

Publisher versionhttps://link.springer.com/article/10.1007%2Fs00205-019-01368-7

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