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