“…Mechanisms that are thought to act on the outer proton radiation belt include radial diffusion caused by magnetic and electric perturbations [e.g., Nakada et al , ; Cornwall , ; Beutier et al , ; Boscher et al , ; Vacaresse et al , ; Panasyuk , ] including substorm perturbations [ Spjeldvik , ; Smolin , ], pitch angle scattering by magnetic field curvature effects in the stretched nightside magnetic field [ Tsyganenko , ; Sergeev et al , ], pitch angle scattering and energy diffusion by plasmaspheric whistler mode hiss [ Kozyra et al , ; Villalon and Burke , ] and by ion cyclotron waves [ Søraas et al , ; Shoji and Omura , ], and charge exchange and Coulomb scattering [ Liemohn , ; Beutier et al , ; Walt et al , ]. Potential sources for the outer proton radiation belt include solar protons [ Lazutin et al , ; Panasyuk , ; Tverskaya et al , ] and substorm particle injections [ Vacaresse et al , ]. Finite gyroradius effects can be important for the proton radiation belt, whereas in the nominal dipole field strength of 106 nT at geosynchronous orbit (6.6 R E ) a 1 MeV ( γ = 1.001) proton has a gyroradius r g of 1370 km, whereas a 1 MeV ( γ = 2.96) electron has a gyroradius of 45 km (using the formula r g = [(2Em) 1/2 c/eB][1 + (E/2mc 2 )] 1/2 with kinetic energy E.…”