Table 3.
Parameters of 47 Tuc ai from the partially connected timing solution.
| Timing parameters for PSR J0024−7204ai | |
|---|---|
| Assumed parameters | |
| Phase connection | Partial |
| Reference epoch (MJD) | 59606.213739 |
| Start of timing data (MJD) | 51591.160 |
| End of timing data (MJD) | 60446.212 |
| Solar system ephemeris | DE440 |
| Terrestrial time standard | UTC(NIST) |
| Time units | TDB |
| Number of ToAs | 59 |
| Binary model | DD |
| Residuals rms (μs) | 23.969 |
| Reduced χ2, χred2 ≡ χ2/nfree | 0.82 |
| Right ascension, α (J2000) | 00:24:03.37 |
| Declination, δ (J2000) | −72:04:56.0 |
| Proper motion in α, μαcos δ (mas yr−1) | 5.00 |
| Proper motion in δ, μδ (mas yr−1) | −2.84 |
| Fitted parameters | |
| Spin frequency, f (Hz) | 76.76528761(2) |
| Dispersion measure, DM (pc cm−3) | 24.366(6) |
| Projected semi-major axis, xp (s) | 5.35463(1) |
| Orbital eccentricity, e | 0.179103(5) |
| Epoch of passage at periastron, T0 (MJD) | 59163.18181(1) |
| Orbital period, Pb (days) | 1.65332143(3) |
| Longitude of periastron, ω (deg) | 224.824(3) |
Rate of advance of periastron,  (deg/yr) |
0.1601(46) |
| Derived parameters | |
| Spin period, P (s) | 0.01302672122921(1) |
| Offset from GC centre, θ⊥ (arcsec) | 17.03 |
| Offset from GC centre, θ⊥ (core radii) | 0.76 |
| Mass function, f(Mp) (M⊙) | 0.0603 |
| Total mass of the system, Mtot, (M⊙) | 2.41(11) |
| Minimum companion mass, Mc, min, (M⊙) | 0.7 |
| Maximum pulsar mass, (M⊙) | 1.7 |
Notes. The proper motions were kept fixed to the cluster mean value from Freire et al. (2017), and the position was kept fixed to the SEEKAT localisation (Sect. 3.2). The numbers in parentheses are 1σ uncertainties on the respective values. The minimum companion mass and maximum pulsar mass are derived from the total mass and the mass function. The timing residuals are plotted in Fig. 5.
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