{"status":"public","year":"2012","doi":"10.4007/annals.2012.176.1.10","publisher":"Princeton University Press","extern":"1","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","intvolume":" 176","article_processing_charge":"No","language":[{"iso":"eng"}],"date_published":"2012-07-01T00:00:00Z","type":"journal_article","month":"07","publication_identifier":{"issn":["0003-486X"]},"citation":{"apa":"Albouy, A., & Kaloshin, V. (2012). Finiteness of central configurations of five bodies in the plane. Annals of Mathematics. Princeton University Press. https://doi.org/10.4007/annals.2012.176.1.10","mla":"Albouy, Alain, and Vadim Kaloshin. “Finiteness of Central Configurations of Five Bodies in the Plane.” Annals of Mathematics, vol. 176, no. 1, Princeton University Press, 2012, pp. 535–88, doi:10.4007/annals.2012.176.1.10.","ieee":"A. Albouy and V. Kaloshin, “Finiteness of central configurations of five bodies in the plane,” Annals of Mathematics, vol. 176, no. 1. Princeton University Press, pp. 535–588, 2012.","ista":"Albouy A, Kaloshin V. 2012. Finiteness of central configurations of five bodies in the plane. Annals of Mathematics. 176(1), 535–588.","ama":"Albouy A, Kaloshin V. Finiteness of central configurations of five bodies in the plane. Annals of Mathematics. 2012;176(1):535-588. doi:10.4007/annals.2012.176.1.10","chicago":"Albouy, Alain, and Vadim Kaloshin. “Finiteness of Central Configurations of Five Bodies in the Plane.” Annals of Mathematics. Princeton University Press, 2012. https://doi.org/10.4007/annals.2012.176.1.10.","short":"A. Albouy, V. Kaloshin, Annals of Mathematics 176 (2012) 535–588."},"publication_status":"published","author":[{"full_name":"Albouy, Alain","first_name":"Alain","last_name":"Albouy"},{"id":"FE553552-CDE8-11E9-B324-C0EBE5697425","full_name":"Kaloshin, Vadim","last_name":"Kaloshin","first_name":"Vadim","orcid":"0000-0002-6051-2628"}],"issue":"1","page":"535-588","date_created":"2020-09-18T10:47:24Z","_id":"8503","oa_version":"None","article_type":"original","title":"Finiteness of central configurations of five bodies in the plane","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"}],"publication":"Annals of Mathematics","day":"01","quality_controlled":"1","date_updated":"2021-01-12T08:19:44Z","volume":176}