Table E.1
Relevant versions of the multi-resonant model with assumed observed characteristic frequency ratio set νU:νM:νL = 3:2:1. The radius of marginally stable orbit xms and corresponding resonant radii x1 and x2 are given.
| Set | νU | νM | νL | a | x ms | x 1 | x 2 |
|
|
|||||||
| “Magic” | ν K |
|
|
0.983043* | 1.571 | 2.395 | |
| T45 |
|
|
|
0.885010 | 2.419 | 3.720 | 4.299 |
| B15 |
|
|
|
0.616894 | 3.758 | 4.241 | 5.833 |
| B15 |
|
|
|
0.999667 | 1.121 | 1.411 | 4.250 |
| B22 |
|
|
ν r | 0.913806 | 2.225 | 2.885 | 3.935 |
| B24 |
|
|
|
0.980124 | 1.612 | 2.551 | 3.519 |
| B25 |
|
|
|
0.475159 | 4.330 | 4.988 | 6.359 |
| B45 |
|
|
|
0.922985 | 2.158 | 3.794 | 4.594 |
| M14 |
|
|
|
0.544870 | 4.055 | 4.347 | 5.477 |
| M24 |
|
|
|
0.535413 | 4.093 | 4.394 | 5.832 |
| M54 |
|
|
|
0.336030 | 4.849 | 5.327 | 6.857 |
| T1(DC1) |
|
|
|
} 0.865670* | 2.539 | 2.880 | |
| B1(DC11) |
|
|
|
||||
| T1(DC3) |
|
|
|
0.986666* | 1.514 | 1.753 | |
| T1(DC9) |
|
|
|
} 0.892290 | 2.372 | 3.601 | 5.034 |
| M(DC11) |
|
|
|
||||
| T1(DC11) |
|
|
|
0.772687 | 3.046 | 3.792 | 6.036 |
| T1(DC11) |
|
|
|
0.927324 | 2.125 | 2.131 | 2.419 |
| B1(DC9) |
|
|
|
} 0.868917 | 2.520 | 2.648 | 3.510 |
| M1(DC1) |
|
|
|
||||
| B1(DC12) |
|
|
|
0.851581 | 2.623 | 2.675 | 3.640 |
| M1(DC7) |
|
|
|
0.987594 | 1.498 | 1.502 | 2.326 |
Notes.An asterisk denotes the special values of the black hole spin when the resonance points share the same radius (x1 = x2 ≡ x3:2:1).
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