[{"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","abstract":[{"lang":"eng","text":"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."}],"date_updated":"2021-01-12T08:19:09Z","date_published":"2019-03-12T00:00:00Z","keyword":["Mechanical Engineering","Mathematics (miscellaneous)","Analysis"],"article_type":"original","fulldoi":"https://doi.org/10.1007/s00205-019-01368-7","day":"12","publisher":"Springer Nature","year":"2019","citation":{"ista":"Guardia M, Kaloshin V, Zhang J. 2019. Asymptotic density of collision orbits in the Restricted Circular Planar 3 Body Problem. Archive for Rational Mechanics and Analysis. 233(2), 799–836.","ama":"Guardia M, Kaloshin V, Zhang J. Asymptotic density of collision orbits in the Restricted Circular Planar 3 Body Problem. <i>Archive for Rational Mechanics and Analysis</i>. 2019;233(2):799-836. doi:<a href=\"https://doi.org/10.1007/s00205-019-01368-7\">10.1007/s00205-019-01368-7</a>","ieee":"M. Guardia, V. Kaloshin, and J. Zhang, “Asymptotic density of collision orbits in the Restricted Circular Planar 3 Body Problem,” <i>Archive for Rational Mechanics and Analysis</i>, vol. 233, no. 2. Springer Nature, pp. 799–836, 2019.","apa":"Guardia, M., Kaloshin, V., &#38; Zhang, J. (2019). Asymptotic density of collision orbits in the Restricted Circular Planar 3 Body Problem. <i>Archive for Rational Mechanics and Analysis</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00205-019-01368-7\">https://doi.org/10.1007/s00205-019-01368-7</a>","chicago":"Guardia, Marcel, Vadim Kaloshin, and Jianlu Zhang. “Asymptotic Density of Collision Orbits in the Restricted Circular Planar 3 Body Problem.” <i>Archive for Rational Mechanics and Analysis</i>. Springer Nature, 2019. <a href=\"https://doi.org/10.1007/s00205-019-01368-7\">https://doi.org/10.1007/s00205-019-01368-7</a>.","mla":"Guardia, Marcel, et al. “Asymptotic Density of Collision Orbits in the Restricted Circular Planar 3 Body Problem.” <i>Archive for Rational Mechanics and Analysis</i>, vol. 233, no. 2, Springer Nature, 2019, pp. 799–836, doi:<a href=\"https://doi.org/10.1007/s00205-019-01368-7\">10.1007/s00205-019-01368-7</a>.","short":"M. Guardia, V. Kaloshin, J. Zhang, Archive for Rational Mechanics and Analysis 233 (2019) 799–836."},"_id":"8418","status":"public","oa_version":"Published Version","issue":"2","intvolume":"       233","publication":"Archive for Rational Mechanics and Analysis","author":[{"full_name":"Guardia, Marcel","last_name":"Guardia","first_name":"Marcel"},{"first_name":"Vadim","orcid":"0000-0002-6051-2628","last_name":"Kaloshin","id":"FE553552-CDE8-11E9-B324-C0EBE5697425","full_name":"Kaloshin, Vadim"},{"first_name":"Jianlu","last_name":"Zhang","full_name":"Zhang, Jianlu"}],"extern":"1","oa":1,"title":"Asymptotic density of collision orbits in the Restricted Circular Planar 3 Body Problem","publication_identifier":{"issn":["0003-9527","1432-0673"]},"type":"journal_article","doi":"10.1007/s00205-019-01368-7","main_file_link":[{"url":"https://doi.org/10.1007/s00205-019-01368-7","open_access":"1"}],"month":"03","page":"799-836","publication_status":"published","language":[{"iso":"eng"}],"volume":233,"quality_controlled":"1","article_processing_charge":"No","date_created":"2020-09-17T10:41:51Z"}]