Improvements to a side-on Penning trap include methods to stabilize ions in the trap. The ions are stabilized by injecting ions in the focusing region of the non-uniform DC fields produced by the pad electrodes of the trap. Ions are injected along an injection axis shifted from the central axis of a gap between a positively biased electrode pad and negatively biased electrode pad of the trap. Improvements also include methods to compensate for the Lorentz force that is produced when ions are injected into a side-on Penning trap. Electrodes of an ion injection device are DC biased so that the electrodes produce an electric field along the axis of the device that compensates for the Lorentz force. Finally, methods are provided to increase the m/z range of ions injected into a side-on Penning trap by pre-trapping ions just before injection of the ions into the trap.