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On strictly convex central configurations of the 2n-body problem

Author
Barrabés, E.; Cors, J.
Type of activity
Journal article
Journal
Journal of dynamics and differential equations
Date of publication
2019-12
Volume
31
Number
4
First page
2293
Last page
2304
DOI
https://doi.org/10.1007/s10884-018-9708-5 Open in new window
Repository
http://hdl.handle.net/2117/122445 Open in new window
URL
https://link.springer.com/article/10.1007%2Fs10884-018-9708-5 Open in new window
Abstract
We consider planar central configurations of the Newtonian 2n-body problem consisting in two twisted regular n-gons of equal masses. We prove the conjecture that for n=5 all convex central configurations of two twisted regular n-gons are strictly convex.
Citation
Barrabés, E., Cors, J. On strictly convex central configurations of the 2n-body problem. "Journal of dynamics and differential equations", Desembre 2019, vol. 31, n. 4, p. 2293–2304.
Keywords
Central configuration, Convex central configuration, Twisted central configuration, n-Body problem
Group of research
SD - UPC Dynamical Systems

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