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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

Repository: http://hdl.handle.net/2117/122445
URL: https://link.springer.com/article/10.1007%2Fs10884-018-9708-5
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