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Table 2

Comparison between the different methods of estimating Γ0 found in literature.

Model k
s = 0 s = 2

SP99 0.852 0.772
M07 1.702 1.543
G10 0.507 0.649
G12 0.687 0.669
N13 1 1
N14 0.971 0.946

Notes. k is a dimensionless factor that varies according to the different models and the power law index of the external medium density profile s (see Eq. (15)). The values of Γ0 are numerically compared with the one obtained by Nava et al. (2013), in the case of homogeneous medium (s = 0) and wind medium (s = 2). We chose to compare the result of G10 using the published formula with the parameter a = 4−s as prescribed by the Blandford & McKee (1976) dynamics. SP99: Sari & Piran (1999); M07: Molinari et al. (2007); G10: Ghisellini et al. (2010); G12: Ghirlanda et al. (2012); N13: Nava et al. (2013); N14: Nappo et al. (2014).

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