Periodic and quasiperiodic solutions of the Coulomb equation of motion of two equal negative charges in the field of two fixed identical positive charges are found with the help of the Lyapunov center theorem.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 68, No. 9, pp. 1273–1285, September, 2016.
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Skrypnik, W.I. Coulomb Dynamics Near Equilibrium of Two Equal Negative Charges in the Field of Two Fixed Identical Positive Charges. Ukr Math J 68, 1466–1480 (2017). https://doi.org/10.1007/s11253-017-1307-9
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DOI: https://doi.org/10.1007/s11253-017-1307-9