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

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Ukrainian Mathematical Journal Aims and scope

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.

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Authors and Affiliations

  1. Institute of Mathematics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

    W. I. Skrypnik

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  1. W. I. Skrypnik
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Correspondence to W. I. Skrypnik.

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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 73, No. 12, pp. 1698–1713, December, 2021. Ukrainian DOI: https://doi.org/10.37863/umzh.v73i12.6550.

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Skrypnik, W.I. Periodic Coulomb Dynamics of Three Identical Negative Charges in the Field of Four Fixed Identical Positive Charges. Ukr Math J 73, 1967–1984 (2022). https://doi.org/10.1007/s11253-022-02041-1

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  • DOI: https://doi.org/10.1007/s11253-022-02041-1

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