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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Bibliographic Details
Published in:Journal of dynamics and differential equations Vol. 31; no. 4; pp. 2293 - 2304
Main Authors: Barrabés, E., Cors, J. M.
Format: Journal Article Publication
Language:English
Published: New York Springer US 01.12.2019
Springer Nature B.V
Subjects:
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
Online Access:Get full text
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Summary: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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content type line 14
ISSN:1040-7294
1572-9222
DOI:10.1007/s10884-018-9708-5