Periodic Coulomb Dynamics of Three Identical Negative Charges in the Field of Four Fixed Identical Positive Charges

Periodic Coulomb Dynamics of Three Identical Negative Charges in the Field of Four Fixed Identical Positive Charges

We find periodic solutions of the d -dimensional ( d = 1 , 2 , 3) Coulomb equations of motion for three identical negative point charges in the field of four identical positive point charges fixed at the vertices of a rectangle. Systems of this kind possess equilibrium configurations. Periodic solut...

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Veröffentlicht in:Ukrainian mathematical journal 2022-05, Vol.73 (12), p.1967-1984
1. Verfasser: Skrypnik, W. I.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Apexes
Applications of Mathematics
Equations of motion
Geometry
Mathematics
Mathematics and Statistics
Statistics
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Zusammenfassung:We find periodic solutions of the d -dimensional ( d = 1 , 2 , 3) Coulomb equations of motion for three identical negative point charges in the field of four identical positive point charges fixed at the vertices of a rectangle. Systems of this kind possess equilibrium configurations. Periodic solutions are obtained with the help of the Lyapunov central theorem.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-022-02041-1