Table 2: Numerical estimate of $\langle f_{i(k)}\rangle $ in the 5 AU region, for a swarm of grains produced in the whole 1-10 AU region, as a function of $\beta _k$ (see text for details). Note that for low $\beta $, ek might become lower than the average eccentricity for the parent bodies in the disc (see Sect. 2.1). In such a case, the radiation pressure effect is neglected for all $e_{k}<\langle e_{0}\rangle $ and the values of $\langle f_{i(k)}\rangle $ rescaled so that $\langle f_{i(k)}\rangle =1$ for $e_{k}=\langle e_{0}\rangle $.
$\beta _k$ ek $\langle f_{i(k)}\rangle $
0.49 0.96 0.038
0.39 0.63 0.344
0.31 0.45 0.521
0.24 0.32 0.665
0.19 0.24 0.753
0.15 0.18 0.812
0.12 0.14 0.849
0.10 0.11 0.887
0.08 0.09 0.930


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