On regular polygon solutions of Coulomb equation of motion of \(n + 2\) charges \(n\) of which are planar (Q2804978)
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scientific article; zbMATH DE number 6578045
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On regular polygon solutions of Coulomb equation of motion of \(n + 2\) charges \(n\) of which are planar |
scientific article; zbMATH DE number 6578045 |
Statements
9 May 2016
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Coulomb equation of motion
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equilibrium configuration
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Keplerian orbits
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Lyapunov theorem
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0.8660785
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0.84540033
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0.8281251
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0.82454145
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0.82323575
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0.82046026
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On regular polygon solutions of Coulomb equation of motion of \(n + 2\) charges \(n\) of which are planar (English)
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The author studies mathematical aspects of the equilibrium condition for a system of \(n+2\) charged particles, where \(n\) of them have a planar configuration, while the remaining two are located off the plane. The obtained solutions to the corresponding Coulomb equations are periodic and show a polygonal structure in the system of the moving planar charges.
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