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Table 4.

Estimated distances (r) of the four WAs (WA1, WA2, WA3, and WA4) of NGC 3227.

Parameter WA1 WA2 WA3 WA4
Method 1 (*): Distance r ≥ thickness Δr
abs (1033 erg m−1) (a) 1.68 1.44 1.54 51.3
scat (1032 erg m−1) (b) 9.6 1.1 0.5 0.7
Cv(c) 0.049 0.039 0.011 0.006
r (pc) (d) ≲0.007 ≲0.24 ≲0.71 ≲265

Method 2 (†): Outflow velocity vout ≥ escape velocity vesc
r (pc) (e) ≳0.03 ≳0.2 ≳0.3 ≳4

Method 3 (‡): Recombination timescale method
netrec⟩ (1010 s cm−3) 5.6 5.4 3.9 7.2
trec (days) (f) ≲16 ≲10 ≲6 ≲6
ne⟩ (1010 cm−3) (g) ≳4.0 ≳6.3 ≳7.5 ≳14.0
r (pc) (h) ≲0.16 ≲0.3 ≲0.6 ≲13

Notes.

(*)

First method for estimating the distances of the WAs, based on the assumption that the thickness (Δr) of the WA cloud does not exceed its distance (r) (see Eqs. (2)–(5)).

(a)

Momentum outflow rate from the radiation being absorbed.

(b)

Momentum outflow rate from the radiation being scattered.

(c)

Volume filling factor.

(d)

The distances of the WAs that are estimated by the first method.

(†)

The second method to estimate the distances of the WAs, which is based on the assumption that the outflow velocities of winds (vout) are larger than or equal to their escape velocities (vesc) (see Eq. (6)).

(e)

Distances of the WAs that are estimated by the second method.

(‡)

Third method to estimate the distances of the WAs, which is based on the recombination timescale (see Eq. (7)).

(f)

Recombination time scale.

(g)

Electron number density.

(h)

Distances of the WAs that are estimated by the third method.

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