On Strictly Convex Central Configurations of the 2n-Body Problem

We consider planar central configurations of the Newtonian 2 n -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.

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Podrobná bibliografia
Vydané v:	Journal of dynamics and differential equations Ročník 31; číslo 4; s. 2293 - 2304
Hlavní autori:	Barrabés, E., Cors, J. M.
Médium:	Journal Article Publikácia
Jazyk:	English
Vydavateľské údaje:	New York Springer US 01.12.2019 Springer Nature B.V
Predmet:	70 Mechanics of particles and systems 70F Dynamics of a system of particles, including celestial mechanics Applications of Mathematics Central configuration Classificació AMS Configurations Convex central configuration Many-body problem Matemàtiques i estadística Mathematics Mathematics and Statistics n-Body problem Ordinary Differential Equations Partial Differential Equations Problema dels cossos múltiples Twisted central configuration Àrees temàtiques de la UPC Body problem Twisted central configuration 70F10 Central configuration 70F15 Convex central configuration
ISSN:	1040-7294, 1572-9222
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Popis
Shrnutí:	We consider planar central configurations of the Newtonian 2 n -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.
Bibliografia:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14
ISSN:	1040-7294 1572-9222
DOI:	10.1007/s10884-018-9708-5