An orbiting observer experiences centripetal acceleration, indicating that their frame is not inertial in the Newtonian sense, as it accelerates relative to a fixed background. However, in General Relativity (GR), this frame is considered locally inertial, allowing the use of special relativity principles. The discussion also highlights that a charged spherical shell rotating with the observer will still produce a non-zero magnetic field due to fictitious currents, complicating the transformation of electric and magnetic fields between inertial and non-inertial frames. Care must be taken when analyzing these transformations, as they are not straightforward. Understanding these concepts is crucial for accurately describing electromagnetic phenomena in rotating reference frames.
