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There is not really a "neutral" zone within a magnetic field. Any conductive object passing through the magnetic field will experience eddy currents.
If you are inside particle on the exact round orbit between the poles, you could observe steady magnetic field. So no eddy currents created... Right?
So, until somebody points out an obvious fault in my "theory", I will continue speculation:
Edit. Just been for a run and question came to mind while out:Are you arguing there are eddy currents in which case Evan seems a correct view, or are you arguing no eddy currents hence no drag effect?
Non-conductive objects (like ice where the ions of any salts are locked in place due to their extremely low temperature) would not be affected by the magnetic field at all.