The electron trajectories of the retarding field electron energy analyser proposed by van Oostrom (Philips Res. Suppl., vol.1, p.1, 1966) are simulated with a digital computer, as an aid to designing an energy analyser of high resolution. It is shown that the energy resolution is highly dependent on the anode-lens and lens-shield electrode distances; however, the collector electrode does not need to be hemispherical, and its shape is not critical as argued by van Oostrom in his original paper. It is also shown that it is theoretically possible to obtain much higher resolution than the experimentally obtained value of 10 meV.