Develop a simple numerical model for the depletion of the radiation belt. Start with a recollection of the loss cone from plasma physics and the geomagnetic field structure, and assume losses to occur at r = 1.05R (about 300 km altitude in the atmosphere) and that during each bounce period 2n particles are lost and n of the remaining particles are scattered into the loss cone. Assume initially an isotropic distribution of 10 keV electrons injected on a field line at the equator at r₀ = 5R_.