Quasi-exact Coulomb dynamics of \(n\) charges \(n\,-1\) of which are equal (Q1798458)
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scientific article; zbMATH DE number 6962653
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quasi-exact Coulomb dynamics of \(n\) charges \(n\,-1\) of which are equal |
scientific article; zbMATH DE number 6962653 |
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Quasi-exact Coulomb dynamics of \(n\) charges \(n\,-1\) of which are equal (English)
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23 October 2018
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Summary: For \(n \geq 3\), point charges \(n - 1\) of which are negative and equal quasi-exact periodic solutions of their Coulomb equation of motion are found. These solutions describe a motion of the negative charges around a coordinate axis in such a way that their coordinates coincide with vertices of a regular polygon in planes perpendicular to the axis along which the positive charge moves. The Weinstein and center Lyapunov theorems are utilized.
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Coulomb dynamics
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Coulomb equation
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Weinstein theorem
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center Lyapunov theorem
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