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Table B.1

Fitting parameters α and r1∕2 which approximate the CO envelope size for all models.
Ṁ (M⊙ yr−1) Vexp = 7.5 (km s−1) Vexp = 15 (km s−1) Vexp = 30 (km s−1)
α r1∕2 (cm) α r1∕2 (cm) α r1∕2 (cm)
1 × 10−8 1.48 4.41 × 1015 1.21 5.91 × 1015 1.10 9.71 × 1015
2 × 10−8 1.65 5.51 × 1015 1.30 6.75 × 1015 1.14 1.03 × 1016
5 × 10−8 1.95 7.81 × 1015 1.45 8.48 × 1015 1.21 1.17 × 1016
1 × 10−7 2.20 1.06 × 1016 1.61 1.05 × 1016 1.29 1.32 × 1016
2 × 10−7 2.47 1.48 × 1016 1.82 1.37 × 1016 1.40 1.56 × 1016
5 × 10−7 2.79 2.38 × 1016 2.16 2.07 × 1016 1.60 2.06 × 1016
1 × 10−6 3.03 3.47 × 1016 2.46 2.94 × 1016 1.81 2.68 × 1016
2 × 10−6 3.27 5.09 × 1016 2.76 4.26 × 1016 2.07 3.67 × 1016
5 × 10−6 3.62 8.57 × 1016 3.15 7.13 × 1016 2.48 5.85 × 1016
1 × 10−5 3.96 1.28 × 1017 3.42 1.06 × 1017 2.81 8.58 × 1016
2 × 10−5 4.35 1.95 × 1017 3.72 1.60 × 1017 3.14 1.27 × 1017
5 × 10−5 4.87 3.56 × 1017 4.08 2.80 × 1017 3.59 2.19 × 1017
1 × 10−4 5.34 5.76 × 1017 4.37 4.40 × 1017 3.88 3.37 × 1017
= 2 × 10−4 (M – type AGB)
1 × 10−8 1.58 4.92 × 1015 1.26 6.20 × 1015 1.11 9.84 × 1015
2 × 10−8 1.77 6.30 × 1015 1.36 7.21 × 1015 1.15 1.06 × 1016
5 × 10−8 2.06 9.25 × 1015 1.54 9.36 × 1015 1.24 1.21 × 1016
1 × 10−7 2.27 1.28 × 1016 1.72 1.19 × 1016 1.34 1.40 × 1016
2 × 10−7 2.46 1.81 × 1016 1.93 1.60 × 1016 1.46 1.69 × 1016
5 × 10−7 2.69 2.94 × 1016 2.24 2.48 × 1016 1.69 2.31 × 1016
1 × 10−6 2.85 4.29 × 1016 2.49 3.55 × 1016 1.91 3.10 × 1016
2 × 10−6 3.02 6.30 × 1016 2.72 5.17 × 1016 2.17 4.32 × 1016
5 × 10−6 3.29 1.05 × 1017 3.01 8.65 × 1016 2.53 6.97 × 1016
1 × 10−5 3.58 1.55 × 1017 3.25 1.28 × 1017 2.81 1.02 × 1017
2 × 10−5 3.86 2.33 × 1017 3.50 1.90 × 1017 3.11 1.51 × 1017
5 × 10−5 4.28 4.19 × 1017 3.76 3.30 × 1017 3.46 2.57 × 1017
1 × 10−4 4.66 6.70 × 1017 4.00 5.14 × 1017 3.69 3.91 × 1017
= 3 × 10−4
1 × 10−8 1.65 5.34 × 1015 1.29 6.45 × 1015 1.12 9.96 × 1015
2 × 10−8 1.84 6.96 × 1015 1.40 7.61 × 1015 1.17 1.08 × 1016
5 × 10−8 2.10 1.04 × 1016 1.60 1.01 × 1016 1.27 1.25 × 1016
1 × 10−7 2.27 1.45 × 1016 1.78 1.31 × 1016 1.37 1.47 × 1016
2 × 10−7 2.43 2.08 × 1016 1.99 1.79 × 1016 1.51 1.80 × 1016
5 × 10−7 2.63 3.40 × 1016 2.27 2.81 × 1016 1.75 2.53 × 1016
1 × 10−6 2.77 4.97 × 1016 2.48 4.04 × 1016 1.97 3.44 × 1016
2 × 10−6 2.91 7.29 × 1016 2.69 5.90 × 1016 2.22 4.83 × 1016
5 × 10−6 3.16 1.20 × 1017 2.95 9.85 × 1016 2.55 7.84 × 1016
1 × 10−5 3.41 1.76 × 1017 3.18 1.45 × 1017 2.81 1.14 × 1017
2 × 10−5 3.64 2.63 × 1017 3.39 2.14 × 1017 3.08 1.69 × 1017
5 × 10−5 4.01 4.68 × 1017 3.62 3.69 × 1017 3.40 2.85 × 1017
1 × 10−4 4.35 7.42 × 1017 3.84 5.72 × 1017 3.60 4.33 × 1017
= 4 × 10−4
1 × 10−8 1.70 5.71 × 1015 1.32 6.67 × 1015 1.13 1.00 × 1016
2 × 10−8 1.88 7.53 × 1015 1.44 7.97 × 1015 1.19 1.10 × 1016
5 × 10−8 2.12 1.14 × 1016 1.64 1.07 × 1016 1.29 1.29 × 1016
1 × 10−7 2.27 1.61 × 1016 1.82 1.42 × 1016 1.40 1.53 × 1016
2 × 10−7 2.42 2.31 × 1016 2.02 1.95 × 1016 1.55 1.90 × 1016
5 × 10−7 2.59 3.80 × 1016 2.28 3.09 × 1016 1.80 2.72 × 1016
1 × 10−6 2.72 5.56 × 1016 2.48 4.46 × 1016 2.01 3.74 × 1016
2 × 10−6 2.86 8.14 × 1016 2.66 6.53 × 1016 2.24 5.28 × 1016
5 × 10−6 3.10 1.33 × 1017 2.93 1.08 × 1017 2.55 8.58 × 1016
1 × 10−5 3.32 1.94 × 1017 3.15 1.59 × 1017 2.81 1.25 × 1017
2 × 10−5 3.51 2.89 × 1017 3.33 2.34 × 1017 3.07 1.84 × 1017
5 × 10−5 3.84 5.10 × 1017 3.54 4.02 × 1017 3.35 3.09 × 1017
1 × 10−4 4.16 8.04 × 1017 3.74 6.20 × 1017 3.55 4.68 × 1017
= 5 × 10−4
1 × 10−8 1.73 6.05 × 1015 1.34 6.88 × 1015 1.14 1.01 × 1016
2 × 10−8 1.91 8.05 × 1015 1.47 8.30 × 1015 1.20 1.11 × 1016
5 × 10−8 2.13 1.23 × 1016 1.67 1.13 × 1016 1.31 1.33 × 1016
1 × 10−7 2.27 1.74 × 1016 1.86 1.52 × 1016 1.43 1.59 × 1016
2 × 10−7 2.40 2.52 × 1016 2.04 2.10 × 1016 1.58 2.00 × 1016
5 × 10−7 2.57 4.16 × 1016 2.29 3.34 × 1016 1.83 2.90 × 1016
1 × 10−6 2.69 6.10 × 1016 2.47 4.84 × 1016 2.04 4.00 × 1016
2 × 10−6 2.83 8.90 × 1016 2.65 7.09 × 1016 2.26 5.67 × 1016
5 × 10−6 3.07 1.45 × 1017 2.91 1.17 × 1017 2.56 9.24 × 1016
1 × 10−5 3.25 2.10 × 1017 3.13 1.72 × 1017 2.81 1.35 × 1017
2 × 10−5 3.42 3.11 × 1017 3.29 2.51 × 1017 3.07 1.97 × 1017
5 × 10−5 3.73 5.47 × 1017 3.48 4.30 × 1017 3.32 3.30 × 1017
1 × 10−4 4.03 8.58 × 1017 3.68 6.63 × 1017 3.51 4.99 × 1017
= 6 × 10−4 (S – type AGB)
1 × 10−8 1.76 6.36 × 1015 1.36 7.08 × 1015 1.15 1.03 × 1016
2 × 10−8 1.93 8.53 × 1015 1.49 8.61 × 1015 1.21 1.13 × 1016
5 × 10−8 2.14 1.31 × 1016 1.70 1.19 × 1016 1.33 1.36 × 1016
1 × 10−7 2.27 1.87 × 1016 1.88 1.60 × 1016 1.45 1.65 × 1016
2 × 10−7 2.40 2.71 × 1016 2.06 2.23 × 1016 1.61 2.09 × 1016
5 × 10−7 2.56 4.49 × 1016 2.30 3.57 × 1016 1.86 3.06 × 1016
1 × 10−6 2.67 6.59 × 1016 2.47 5.18 × 1016 2.06 4.25 × 1016
2 × 10−6 2.81 9.60 × 1016 2.64 7.60 × 1016 2.27 6.04 × 1016
5 × 10−6 3.05 1.55 × 1017 2.91 1.26 × 1017 2.56 9.84 × 1016
1 × 10−5 3.21 2.24 × 1017 3.12 1.83 × 1017 2.81 1.43 × 1017
2 × 10−5 3.36 3.32 × 1017 3.26 2.67 × 1017 3.06 2.08 × 1017
5 × 10−5 3.66 5.80 × 1017 3.44 4.56 × 1017 3.30 3.48 × 1017
1 × 10−4 3.93 9.06 × 1017 3.62 7.00 × 1017 3.48 5.26 × 1017
= 7 × 10−4
1 × 10−8 1.78 6.64 × 1015 1.38 7.26 × 1015 1.16 1.04 × 1016
2 × 10−8 1.95 8.97 × 1015 1.51 8.90 × 1015 1.22 1.15 × 1016
5 × 10−8 2.14 1.39 × 1016 1.72 1.24 × 1016 1.35 1.40 × 1016
1 × 10−7 2.27 1.99 × 1016 1.90 1.69 × 1016 1.48 1.70 × 1016
2 × 10−7 2.39 2.89 × 1016 2.07 2.36 × 1016 1.63 2.17 × 1016
5 × 10−7 2.55 4.80 × 1016 2.30 3.78 × 1016 1.88 3.21 × 1016
1 × 10−6 2.66 7.04 × 1016 2.47 5.50 × 1016 2.08 4.47 × 1016
2 × 10−6 2.80 1.02 × 1017 2.64 8.08 × 1016 2.28 6.37 × 1016
5 × 10−6 3.03 1.64 × 1017 2.91 1.33 × 1017 2.57 1.03 × 1017
1 × 10−5 3.17 2.37 × 1017 3.11 1.93 × 1017 2.82 1.51 × 1017
2 × 10−5 3.32 3.50 × 1017 3.24 2.81 × 1017 3.06 2.19 × 1017
5 × 10−5 3.59 6.10 × 1017 3.41 4.79 × 1017 3.28 3.65 × 1017
1 × 10−4 3.87 9.50 × 1017 3.59 7.35 × 1017 3.46 5.51 × 1017
= 8 × 10−4
1 × 10−8 1.80 6.92 × 1015 1.40 7.44 × 1015 1.16 1.04 × 1016
2 × 10−8 1.96 9.38 × 1015 1.53 9.18 × 1015 1.23 1.17 × 1016
5 × 10−8 2.14 1.46 × 1016 1.74 1.29 × 1016 1.36 1.43 × 1016
1 × 10−7 2.27 2.10 × 1016 1.91 1.76 × 1016 1.49 1.75 × 1016
2 × 10−7 2.39 3.06 × 1016 2.08 2.47 × 1016 1.65 2.25 × 1016
5 × 10−7 2.54 5.09 × 1016 2.30 3.98 × 1016 1.90 3.35 × 1016
1 × 10−6 2.66 7.47 × 1016 2.47 5.81 × 1016 2.09 4.68 × 1016
2 × 10−6 2.80 1.08 × 1017 2.64 8.52 × 1016 2.29 6.68 × 1016
5 × 10−6 3.02 1.73 × 1017 2.91 1.40 × 1017 2.58 1.09 × 1017
1 × 10−5 3.15 2.49 × 1017 3.10 2.02 × 1017 2.83 1.58 × 1017
2 × 10−5 3.28 3.68 × 1017 3.22 2.95 × 1017 3.05 2.29 × 1017
5 × 10−5 3.55 6.38 × 1017 3.39 5.01 × 1017 3.27 3.81 × 1017
1 × 10−4 3.80 9.91 × 1017 3.56 7.67 × 1017 3.44 5.74 × 1017
= 9 × 10−4
1 × 10−8 1.82 7.17 × 1015 1.41 7.60 × 1015 1.17 1.05 × 1016
2 × 10−8 1.97 9.77 × 1015 1.55 9.45 × 1015 1.24 1.18 × 1016
5 × 10−8 2.15 1.53 × 1016 1.76 1.34 × 1016 1.38 1.46 × 1016
1 × 10−7 2.27 2.20 × 1016 1.93 1.84 × 1016 1.51 1.80 × 1016
2 × 10−7 2.38 3.22 × 1016 2.09 2.58 × 1016 1.67 2.33 × 1016
5 × 10−7 2.53 5.37 × 1016 2.30 4.17 × 1016 1.91 3.48 × 1016
1 × 10−6 2.65 7.87 × 1016 2.47 6.09 × 1016 2.10 4.88 × 1016
2 × 10−6 2.80 1.13 × 1017 2.64 8.94 × 1016 2.30 6.98 × 1016
5 × 10−6 3.01 1.81 × 1017 2.92 1.46 × 1017 2.59 1.13 × 1017
1 × 10−5 3.12 2.61 × 1017 3.10 2.11 × 1017 2.83 1.64 × 1017
2 × 10−5 3.25 3.84 × 1017 3.20 3.07 × 1017 3.05 2.38 × 1017
5 × 10−5 3.51 6.64 × 1017 3.37 5.21 × 1017 3.25 3.96 × 1017
1 × 10−4 3.75 1.02 × 1018 3.53 7.96 × 1017 3.43 5.95 × 1017
= 10 × 10−4 (C – type AGB)
1 × 10−8 1.83 7.42 × 1015 1.43 7.77 × 1015 1.18 1.06 × 1016
2 × 10−8 1.98 1.01 × 1016 1.57 9.70 × 1015 1.25 1.20 × 1016
5 × 10−8 2.15 1.59 × 1016 1.77 1.39 × 1016 1.39 1.48 × 1016
1 × 10−7 2.27 2.30 × 1016 1.94 1.91 × 1016 1.53 1.85 × 1016
2 × 10−7 2.38 3.37 × 1016 2.10 2.69 × 1016 1.69 2.40 × 1016
5 × 10−7 2.53 5.64 × 1016 2.31 4.35 × 1016 1.92 3.61 × 1016
1 × 10−6 2.65 8.26 × 1016 2.47 6.37 × 1016 2.11 5.07 × 1016
2 × 10−6 2.80 1.19 × 1017 2.65 9.34 × 1016 2.30 7.26 × 1016
5 × 10−6 3.01 1.89 × 1017 2.92 1.52 × 1017 2.59 1.18 × 1017
1 × 10−5 3.11 2.71 × 1017 3.09 2.19 × 1017 2.84 1.71 × 1017
2 × 10−5 3.23 3.99 × 1017 3.19 3.19 × 1017 3.04 2.47 × 1017
5 × 10−5 3.44 6.90 × 1017 3.35 5.40 × 1017 3.24 4.09 × 1017
1 × 10−4 3.72 1.06 × 1018 3.52 8.24 × 1017 3.41 6.15 × 1017

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