[{"year":"2012","date_updated":"2021-01-12T08:19:44Z","abstract":[{"lang":"eng","text":"We prove there are finitely many isometry classes of planar central configurations (also called relative equilibria) in the Newtonian 5-body problem, except perhaps if the 5-tuple of positive masses belongs to a given codimension 2 subvariety of the mass space."}],"issue":"1","article_processing_charge":"No","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"mla":"Albouy, Alain, and Vadim Kaloshin. “Finiteness of Central Configurations of Five Bodies in the Plane.” <i>Annals of Mathematics</i>, vol. 176, no. 1, Princeton University Press, 2012, pp. 535–88, doi:<a href=\"https://doi.org/10.4007/annals.2012.176.1.10\">10.4007/annals.2012.176.1.10</a>.","ista":"Albouy A, Kaloshin V. 2012. Finiteness of central configurations of five bodies in the plane. Annals of Mathematics. 176(1), 535–588.","chicago":"Albouy, Alain, and Vadim Kaloshin. “Finiteness of Central Configurations of Five Bodies in the Plane.” <i>Annals of Mathematics</i>. Princeton University Press, 2012. <a href=\"https://doi.org/10.4007/annals.2012.176.1.10\">https://doi.org/10.4007/annals.2012.176.1.10</a>.","ieee":"A. Albouy and V. Kaloshin, “Finiteness of central configurations of five bodies in the plane,” <i>Annals of Mathematics</i>, vol. 176, no. 1. Princeton University Press, pp. 535–588, 2012.","ama":"Albouy A, Kaloshin V. Finiteness of central configurations of five bodies in the plane. <i>Annals of Mathematics</i>. 2012;176(1):535-588. doi:<a href=\"https://doi.org/10.4007/annals.2012.176.1.10\">10.4007/annals.2012.176.1.10</a>","apa":"Albouy, A., &#38; Kaloshin, V. (2012). Finiteness of central configurations of five bodies in the plane. <i>Annals of Mathematics</i>. Princeton University Press. <a href=\"https://doi.org/10.4007/annals.2012.176.1.10\">https://doi.org/10.4007/annals.2012.176.1.10</a>","short":"A. Albouy, V. Kaloshin, Annals of Mathematics 176 (2012) 535–588."},"date_created":"2020-09-18T10:47:24Z","date_published":"2012-07-01T00:00:00Z","author":[{"last_name":"Albouy","full_name":"Albouy, Alain","first_name":"Alain"},{"last_name":"Kaloshin","full_name":"Kaloshin, Vadim","id":"FE553552-CDE8-11E9-B324-C0EBE5697425","orcid":"0000-0002-6051-2628","first_name":"Vadim"}],"intvolume":"       176","type":"journal_article","article_type":"original","publication_status":"published","publisher":"Princeton University Press","quality_controlled":"1","_id":"8503","publication_identifier":{"issn":["0003-486X"]},"day":"01","doi":"10.4007/annals.2012.176.1.10","publication":"Annals of Mathematics","title":"Finiteness of central configurations of five bodies in the plane","volume":176,"oa_version":"None","page":"535-588","language":[{"iso":"eng"}],"status":"public","extern":"1","month":"07"}]