“…The proton omni-directional flux spectrum at any location and time f p (r,θ,φ,E,t) is then extrapolated using the following functional form of Wilson et al (1999Wilson et al ( , 2006b, see also Blanchard and Hess 1965) f p (r,θ,φ,E,t) = f p,min (r,θ,φ,E) exp{-α p …”