Notes. All values are given in units of pc. The TS distance in the nose direction remains the same in the analytic approach and in the pH and CH-models. The AP distances for the CH-model are smaller because the thermal pressure in the outer astrosheath is decreased by the cooling. This holds also true for the BS distance. The TS distance in the tail direction of the analytic calculation deviates by roughly a factor 2 compared to both numerical models, which gave almost the same value.