Quasi-Exact Coulomb Dynamics of n + 1 Charges n - 1 of which are Equal

For n + 1 ≥ 4 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 the vertical axis in such a way that their coordinates coincide with vertices of a regular polygon in planes perpendicular to the axis along which two equal positive charges move.