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Table 1.
Selected points of the parameters σ and ρc from the galactic-like and cluster-like polytrope allowed regions that govern the polytropic configurations given in Appendix A.1 and A.2 for all the considered polytropic indexes.
| Scheme | Index n | σ | ρc (g cm−3) | λ | R (kpc) | M (M⊙) |
|---|---|---|---|---|---|---|
| Galaxy-like | 0.5 | 5.23E−7 | 5.03E−26 | 1.99E−4 | 115.4 | 2.60E12 |
| 1.0 | 5.39E−7 | 8.99E−26 | 1.11E−4 | 115.4 | 2.60E12 | |
| 1.5 | 5.80E−7 | 1.64E−25 | 6.11E−5 | 115.3 | 2.59E12 | |
| 2.0 | 6.48E−7 | 3.11E−25 | 3.21E−5 | 115.5 | 2.60E12 | |
| 2.5 | 7.53E−7 | 6.38E−25 | 1.57E−5 | 115.5 | 2.60E12 | |
| 3.0 | 9.20E−7 | 1.48E−24 | 6.77E−6 | 115.4 | 2.60E12 | |
| 3.5 | 1.21E−6 | 4.17E−24 | 2.40E−6 | 115.6 | 2.61E12 | |
| 4.0 | 1.79E−6 | 1.70E−23 | 5.89E−7 | 115.3 | 2.59E12 | |
| 4.5 | 3.59E−6 | 1.69E−22 | 5.92E−8 | 115.5 | 2.60E12 | |
| Cluster-like | 0.5 | 4.16E−5 | 4.35E−26 | 2.30E−4 | 1106 | 1.98E15 |
| 1.0 | 4.30E−5 | 7.87E−26 | 1.27E−4 | 1102 | 1.98E15 | |
| 1.5 | 4.65E−5 | 1.45E−25 | 6.88E−5 | 1098 | 1.98E15 | |
| 2.0 | 5.21E−5 | 2.81E−25 | 3.56E−5 | 1089 | 1.97E15 | |
| 2.5 | 5.98E−5 | 5.54E−25 | 1.81E−5 | 1105 | 1.97E15 | |
| 3.0 | 7.35E−5 | 1.31E−24 | 7.62E−6 | 1096 | 1.97E15 | |
| 3.5 | 9.77E−5 | 3.77E−24 | 2.65E−6 | 1093 | 1.99E15 | |
| 4.0 | 1.45E−4 | 1.56E−23 | 6.43E−7 | 1084 | 1.97E15 | |
| 4.5 | 2.88E−4 | 1.52E−22 | 6.58E−8 | 1095 | 1.97E15 | |
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