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