In the planetary model of an atom (however invalid), the electrons rotating around the proton are discrete charges moving in a circular motion, which means that there is a finite current in a circular loop. This current leads to a magnetic field perpendicular in direction to the plane of rotation of the electron, via the Biot-Savart law. Then, is there a fundamental reason why the motion of the electrons is not modeled as a charged particle in a crossed electro-magnetic field, leading to cycloidal trajectories in the plane of the electron's motion?
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