Table A.1.
We show the input parameters (32) pertaining to 47 Tuc W and 47 Tuc O, as well as the quantities Q0 (cf. Eq. (15)), B0 (cf. Eq. (23)), and ℒ0 (cf. Eq. (27)). We express all masses and distances in terms of the solar mass M⊙ = 2 × 1033g and the solar radius R⊙ = 6.96 × 1010cm, respectively. The input parameters and TEMPO coefficients t0, t1, T0, {fi}i = 0n are both taken from Ridolfi et al. (2016), Freire et al. (2017). For more details on how a and Rc have been calculated/chosen, we refer to the beginning of Appendix A.
| Parameter | Unit | 47 Tuc W | 47 Tuc O |
|---|---|---|---|
| mp | M⊙ | 1.40 | 1.40 |
| mc | M⊙ | 0.13 | 0.022 |
| Rc | R⊙ | 0.20 | 0.08 |
| a | R⊙ | 1.26 | 1.11 |
| Pma | yr | 2.70 | 5.00 |
| Q0 | M⊙R⊙2 | 3.61 × 10−5 | 6.25 × 10−6 |
| B0 | kG | 48.79 | 0.92 |
| ℒ0 | L⊙ | 34.78 | 4.81 × 10−3 |
| TEMPO coefficients | |||
| t0 | MJD | 51214.216 | 47717.894 |
| t1 | MJD | 54934.047 | 56388.106 |
| T0 | MJD | 51585.3327 | 51600.1084 |
| f0 | s−1 | 8.71 × 10−5 | 9.59 × 10−5 |
| f1 | s−2 | −1.27 × 10−18 | −2.09 × 10−21 |
| f2 | s−3 | 4.06 × 10−26 | −1.89 × 10−28 |
| f3 | s−4 | 6.30 × 10−33 | 3.94 × 10−35 |
| f4 | s−5 | −9.18 × 10−40 | −1.49 × 10−43 |
| f5 | s−6 | 6.27 × 10−47 | −5.49 × 10−50 |
| f6 | s−7 | −2.68 × 10−54 | 5.76 × 10−58 |
| f7 | s−8 | 7.41 × 10−62 | 5.478 × 10−65 |
| f8 | s−9 | −1.22 × 10−69 | −8.91 × 10−73 |
| f9 | s−10 | 9.30 × 10−78 | −3.90 × 10−80 |
| f10 | s−11 | – | 8.57 × 10−88 |
| f11 | s−12 | – | 1.52 × 10−95 |
| f12 | s−13 | – | −4.21 × 10−103 |
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