Table 1.
Solution properties.
| Model | c0 | c1 | v0 | Γ0 | Emag | Eel | W | M |
|---|---|---|---|---|---|---|---|---|
| Z1 | 1 | 0 | 0.9992 | 25.01 | 17.59 | 17.54 | 0 | 0 |
| Z2 | 2 | 0 | 0.9939 | 9.07 | 1.018 | 0.9730 | 0 | 0 |
| Z3 | 5 | 0 | 0.9573 | 3.46 | 0.2691 | 0.1998 | 0 | 0 |
| Z4 | 10 | 0 | 0.8812 | 2.12 | 0.2004 | 0.1012 | 0 | 0 |
| Z5 | 20 | 0 | 0.7571 | 1.53 | 0.2020 | 0.06043 | 0 | 0 |
| Z6 | 50 | 0 | 0.5589 | 1.21 | 0.2598 | 0.03446 | 0 | 0 |
| Z7 | 100 | 0 | 0.4201 | 1.10 | 0.3431 | 0.02354 | 0 | 0 |
| P1 | 1 | 0.1 | 0.9918 | 7.82 | 1.742 | 1.693 | 0.02989 | 0.07039 |
| P2 | 1 | 0.2 | 0.9870 | 6.22 | 1.012 | 0.9656 | 0.03759 | 0.08894 |
| P3 | 1 | 0.5 | 0.9758 | 4.57 | 0.5457 | 0.4988 | 0.04932 | 0.1170 |
| P4 | 1 | 1 | 0.9617 | 3.62 | 0.3654 | 0.3166 | 0.05971 | 0.1406 |
| P5 | 1 | 2 | 0.9407 | 2.95 | 0.2614 | 0.2094 | 0.07180 | 0.1657 |
| P6 | 1 | 5 | 0.8990 | 2.28 | 0.1872 | 0.1286 | 0.09086 | 0.1990 |
| P7 | 1 | 10 | 0.8553 | 1.93 | 0.1593 | 0.09345 | 0.1085 | 0.2236 |
| P8 | 1 | 20 | 0.8008 | 1.67 | 0.1445 | 0.06976 | 0.1292 | 0.2458 |
| P9 | 1 | 50 | 0.7154 | 1.43 | 0.1392 | 0.04921 | 0.1628 | 0.2711 |
| P10 | 1 | 100 | 0.6446 | 1.31 | 0.1435 | 0.03880 | 0.1937 | 0.2865 |
| N1 | 1 | −0.00135 | 0.9997 | 40.83 | 0.8867 | 0.8641 | 0.03083 | 0.02894 |
| N2 | 2 | −0.00170 | 0.9974 | 13.88 | 0.5897 | 0.5504 | 0.03353 | 0.05305 |
| N3 | 5 | −0.252 | 0.9779 | 4.78 | 0.2631 | 0.1970 | 0.05370 | 0.1107 |
| N4 | 10 | −1.448 | 0.9342 | 2.80 | 0.2024 | 0.1065 | 0.07718 | 0.1654 |
| N5 | 20 | −7.084 | 0.8434 | 1.86 | 0.2035 | 0.06541 | 0.1108 | 0.2194 |
| N6 | 50 | −50.45 | 0.6628 | 1.34 | 0.2592 | 0.03796 | 0.1767 | 0.2732 |
| N7 | 100 | −211.3 | 0.5135 | 1.17 | 0.3407 | 0.02609 | 0.2509 | 0.2983 |
Notes. The columns represent the solution number, parameters c0 and c1, the root of the solution v0, and the corresponding Lorentz number Γ0, the magnetic field energy Emag, the electric field energy Eel, the work of the pressure W, and the mass M enclosed in the solution. The units of the various energy terms (Emag, Eel, and W) are in units of 1045 erg and the mass is in units of 1.8 × 1026 g, under the assumption of a sphere where v = 1 corresponds to a radius of 1 km, and the magnetic flux g is normalised to 1025 G cm2.
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