Instantaneous precipitation fraction (P) versus scattering mean free path (λ). Left panel: instantaneous precipitation fraction (P) versus scattering mean free path λ from simulations with durations of 24 h, where protons were injected at a height of r_i = 20 R_⊙, and λ ranges from λ = 0.0025 AU to λ = 1.0 AU. The solar wind speed is v_sw = 500 km s⁻¹. Right panel: P versus λ for injections at 70 R_⊙. Scattering mean free paths range from λ = 0.0025 AU to λ = 0.1 AU. Both panels were fitted with curves of the form of Eq. (6) with the left panel having constants; a = 0.0318 AU, b = 0.8287 and c = 0.0027 AU, and the right panel having constants; a = 0.0094 AU, b = 0.8054 and c = 0.0058 AU.