| regime | conservation | model | χ2 | Reference |
| classical | momentum | inverse power law | 276 | Figure 6 in [31] |
| classical | momentum | Plummer profile | 265 | Figure 8 in [32] |
| relativistic | momentum | Lane-Emden profile | 471 | Figure 10 in [32] |
| relativistic | energy | power law profile | 6387 | Figure 4 in [25] |
| relativistic | energy | exponential profile | 13,145 | Figure 6 in [25] |
| relativistic | energy | Emden profile | 8888 | Figure 8 in [25] |
| classical | energy | power law profile | 176.6 | Figure 1 in this paper |
| relativistic | energy | NFW profile | 823 | Figure 2 in this paper |
| relativistic | energy | NCD | 9589 | Figure 4 in this paper |