Finiteness of central configurations of five bodies in the plane
Albouy A, Kaloshin V. 2012. Finiteness of central configurations of five bodies in the plane. Annals of Mathematics. 176(1), 535–588.
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Journal Article
| Published
| English
Author
Albouy, Alain;
Kaloshin, VadimISTA 
Abstract
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.
Publishing Year
Date Published
2012-07-01
Journal Title
Annals of Mathematics
Publisher
Princeton University Press
Volume
176
Issue
1
Page
535-588
ISSN
IST-REx-ID
Cite this
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
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
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.
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.
Albouy A, Kaloshin V. 2012. Finiteness of central configurations of five bodies in the plane. Annals of Mathematics. 176(1), 535–588.
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.
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