Models of the CSM, and results of fitting for the numerical CSM profile with our analytical model.*
Model . | Einj [1047 erg] . | tstop . | Rin,CSM [cm] . | MCSM [M⊙] . | r* [cm] . | ρ* [g cm−3] . | y . |
---|---|---|---|---|---|---|---|
R15f0.3 | 1.4 | 4 yr | 5.0 × 1013 | 0.11 | 6.4 × 1014 | 2.7 × 10−14 | 2.6 |
R15f0.5 | 2.4 | 4 yr | 7.0 × 1013 | 0.49 | 9.5 × 1014 | 4.9 × 10−14 | 1.7 |
R20f0.3 | 2.2 | 5 yr | 9.1 × 1013 | 0.13 | 8.5 × 1014 | 1.1 × 10−14 | 2.8 |
R20f0.5 | 3.7 | 5 yr | 9.5 × 1013 | 0.62 | 1.2 × 1015 | 3.2 × 10−14 | 1.7 |
B20f0.3 | 54 | 15 d | 7.2 × 1012 | 0.30 | 5.5 × 1013 | 8.7 × 10−11 | 3.6 |
B20f0.5 | 91 | 15 d | 7.0 × 1012 | 0.79 | 6.7 × 1013 | 9.5 × 10−11 | 3.8 |
Model . | Einj [1047 erg] . | tstop . | Rin,CSM [cm] . | MCSM [M⊙] . | r* [cm] . | ρ* [g cm−3] . | y . |
---|---|---|---|---|---|---|---|
R15f0.3 | 1.4 | 4 yr | 5.0 × 1013 | 0.11 | 6.4 × 1014 | 2.7 × 10−14 | 2.6 |
R15f0.5 | 2.4 | 4 yr | 7.0 × 1013 | 0.49 | 9.5 × 1014 | 4.9 × 10−14 | 1.7 |
R20f0.3 | 2.2 | 5 yr | 9.1 × 1013 | 0.13 | 8.5 × 1014 | 1.1 × 10−14 | 2.8 |
R20f0.5 | 3.7 | 5 yr | 9.5 × 1013 | 0.62 | 1.2 × 1015 | 3.2 × 10−14 | 1.7 |
B20f0.3 | 54 | 15 d | 7.2 × 1012 | 0.30 | 5.5 × 1013 | 8.7 × 10−11 | 3.6 |
B20f0.5 | 91 | 15 d | 7.0 × 1012 | 0.79 | 6.7 × 1013 | 9.5 × 10−11 | 3.8 |
The first five columns are model name, injected energy, time that we stop our simulation, and the innermost radius and total mass of the region that we define as CSM. The last three columns are the results of the least-squares fitting, with fitted parameters (r*, ρ*, y).
Models of the CSM, and results of fitting for the numerical CSM profile with our analytical model.*
Model . | Einj [1047 erg] . | tstop . | Rin,CSM [cm] . | MCSM [M⊙] . | r* [cm] . | ρ* [g cm−3] . | y . |
---|---|---|---|---|---|---|---|
R15f0.3 | 1.4 | 4 yr | 5.0 × 1013 | 0.11 | 6.4 × 1014 | 2.7 × 10−14 | 2.6 |
R15f0.5 | 2.4 | 4 yr | 7.0 × 1013 | 0.49 | 9.5 × 1014 | 4.9 × 10−14 | 1.7 |
R20f0.3 | 2.2 | 5 yr | 9.1 × 1013 | 0.13 | 8.5 × 1014 | 1.1 × 10−14 | 2.8 |
R20f0.5 | 3.7 | 5 yr | 9.5 × 1013 | 0.62 | 1.2 × 1015 | 3.2 × 10−14 | 1.7 |
B20f0.3 | 54 | 15 d | 7.2 × 1012 | 0.30 | 5.5 × 1013 | 8.7 × 10−11 | 3.6 |
B20f0.5 | 91 | 15 d | 7.0 × 1012 | 0.79 | 6.7 × 1013 | 9.5 × 10−11 | 3.8 |
Model . | Einj [1047 erg] . | tstop . | Rin,CSM [cm] . | MCSM [M⊙] . | r* [cm] . | ρ* [g cm−3] . | y . |
---|---|---|---|---|---|---|---|
R15f0.3 | 1.4 | 4 yr | 5.0 × 1013 | 0.11 | 6.4 × 1014 | 2.7 × 10−14 | 2.6 |
R15f0.5 | 2.4 | 4 yr | 7.0 × 1013 | 0.49 | 9.5 × 1014 | 4.9 × 10−14 | 1.7 |
R20f0.3 | 2.2 | 5 yr | 9.1 × 1013 | 0.13 | 8.5 × 1014 | 1.1 × 10−14 | 2.8 |
R20f0.5 | 3.7 | 5 yr | 9.5 × 1013 | 0.62 | 1.2 × 1015 | 3.2 × 10−14 | 1.7 |
B20f0.3 | 54 | 15 d | 7.2 × 1012 | 0.30 | 5.5 × 1013 | 8.7 × 10−11 | 3.6 |
B20f0.5 | 91 | 15 d | 7.0 × 1012 | 0.79 | 6.7 × 1013 | 9.5 × 10−11 | 3.8 |
The first five columns are model name, injected energy, time that we stop our simulation, and the innermost radius and total mass of the region that we define as CSM. The last three columns are the results of the least-squares fitting, with fitted parameters (r*, ρ*, y).
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