Analytical estimate of the GCR residence time according to Parker (1965) with respect to the assumed mean free path λ (bottom x-axis) and the resulting diffusion coefficient κ (top x-axis).The two dashed lines show the corrected analytical estimates according to the estimations for the adiabatic energy loss by Eqs. (10) and (11), respectively. The resulting residence times are shown, colour coded from blue to yellow, for the whole energy range of the Jovian spectrum (by 30 logarithmically spaced representive energies) as a measure of the uncertainty.