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

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

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

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Veröffentlicht in:Ukrainian mathematical journal 2021-03, Vol.72 (10), p.1650-1663
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 Coulomb d -dimensional ( d = 1 , 2 , 3) equations of motion for two identical negative point charges in the field of four identical positive point charges fixed at vertices of a rectangle. Systems of this kind have equilibrium configurations. Periodic solutions are obtained with the help of the Lyapunov center theorem.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-021-01878-2