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