On the Uniqueness of Convex Central Configurations in the Planar -Body Problem

In this paper, we provide a rigorous computer-assisted proof (CAP) of the conjecture that in the planar four-body problem there exists a unique convex central configuration for any four fixed positive masses in a given order belonging to a closed domain in the mass space. The proof employs the Krawc...

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Veröffentlicht in:	Regular & chaotic dynamics 2023, Vol.28 (4-5), p.512-532
Hauptverfasser:	Sun, Shanzhong, Xie, Zhifu, You, Peng
Format:	Artikel
Sprache:	eng
Schlagworte:	Configurations Dynamical Systems and Ergodic Theory Four body problem Mathematics Mathematics and Statistics Theorems
Online-Zugang:	Volltext
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