{"publication_status":"published","type":"journal_article","publication":"Annals of Mathematics","month":"07","article_type":"original","publisher":"Princeton University Press","citation":{"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.","short":"A. Albouy, V. Kaloshin, Annals of Mathematics 176 (2012) 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>.","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>","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."},"volume":176,"extern":"1","oa_version":"None","date_published":"2012-07-01T00:00:00Z","status":"public","abstract":[{"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.","lang":"eng"}],"date_created":"2020-09-18T10:47:24Z","date_updated":"2021-01-12T08:19:44Z","language":[{"iso":"eng"}],"publication_identifier":{"issn":["0003-486X"]},"author":[{"last_name":"Albouy","first_name":"Alain","full_name":"Albouy, Alain"},{"id":"FE553552-CDE8-11E9-B324-C0EBE5697425","orcid":"0000-0002-6051-2628","last_name":"Kaloshin","first_name":"Vadim","full_name":"Kaloshin, Vadim"}],"article_processing_charge":"No","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","title":"Finiteness of central configurations of five bodies in the plane","day":"01","year":"2012","_id":"8503","page":"535-588","issue":"1","intvolume":"       176","quality_controlled":"1","doi":"10.4007/annals.2012.176.1.10"}