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We consider a neutral Coulomb planar system of equal negative charges in a constant magnetic field and a field of equal fixed positive charges and construct a periodic solution of the equation of motion such that each negative charge is close to its own positive fixed charge.

advances in mathematical physics

Coulomb Planar Periodic Motion of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:math> Equal Charges in the Field of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:math> Equal Positive Charges Fixed at a Line and Constant Magnetic Field

Coulomb Planar Periodic Motion of n Equal Charges in the Field of n Equal Positive Charges Fixed at a Line and Constant Magnetic Field