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Table 2.
Timing solution for NGC 1851A.
| Dataset and fixed quantities | |
|---|---|
| Terrestrial Time Standard | TT(BIPM2019) |
| Time Units | TDB |
| Solar System Ephemeris | DE421 |
| Span of timing data (MJD) | 53 493–60 047 |
| Reference Epoch (MJD) | 59 728.338327 |
| Number of TOAs | 1791 |
| Weighted rms residual (μs) | 12.54 |
| χ2 | 1772.70 |
| Reduced χ2 | 1.0044 |
| Parallax (mas) | 0.0857 |
| Timing parameters | |
| Right ascension, α (J2000) | 05:14:06.697099(37) |
| Declination, δ (J2000) | −40:02:48.90709(23) |
| Proper motion in α, μα (mas yr−1) | 2.61(13) |
| Proper motion in δ, μδ (mas yr−1) | −0.90(11) |
| Spin frequency, ν (Hz) | 200.37770716645(1) |
| First spin frequency derivative, ḟ (10−16 Hz s−1) | −9.451(8) |
Second spin frequency derivative,  (10−24 Hz s−2) |
−2.14(2) |
Third spin frequency derivative,  (10−33 Hz s−3) |
−1.57(8) |
| Dispersion measure, DM (cm−3 pc) | 52.1346(2) |
| First Derivative of DM, DM1 (10−13 cm−3 pc yr−1) | −1.2(2) |
| Second Derivative of DM, DM2 (10−5 cm−3 pc yr−2) | 2.2(1) |
| Third Derivative of DM, DM3 (10−5 cm−3 pc yr−2) | 2.5(19) |
| Orbital period, Pb (day) | 18.785179196(2) |
| Orbital eccentricity, e | 0.8879765(3) |
| Projected semi-major axis of pulsar orbit, x ≡ ap sin i/c (s) | 36.2909(1) |
| Epoch of periastron, T0 (MJD) | 59 728.33832689(13) |
| Longitude of periastron, ω (deg) | 82.548(2) |
Rate of advance of periastron,  |
0.012961(1) |
| Einstein delay, γ (s) | 0.01925(48) |
| Observed orbital period derivative, Ṗb (10−12 s s−1) | 2.2(7) |
| Orthometric amplitude of Shapiro delay, h3(μs) | 0.52(53) |
| Derived parameters | |
| Offset from the centre of the cluster (arcsec) | 1.58 |
| Total proper motion, μT (mas yr−1) | 2.76(12) |
| Position angle of proper motion, J2000, Θμ (deg) | 109(2) |
| Proper motion relative to the cluster (mas yr−1) | 0.54(13) |
| Transverse velocity relative to the cluster (km s−1) | 30(7) |
| Spin period, P (ms) | 4.9905751200622(4) |
| Spin period derivative, Ṗobs (10−20 s s−1) | 2.354(2) |
Second orbital frequency derivative,  Hz s−2) |
−6.58 |
Third orbital frequency derivative,  Hz s−3) |
−4.84 |
| Intrinsic spin period derivative, Ṗint (10−20 s s−1) | 1.632(2) |
| Characteristic age (Gyr) | 4.8 |
| Surface magnetic field (108 G) | 2.8 |
| Mass function (M⊙) | 0.145428(2) |
| Total system mass, Mtot (M⊙) | 2.47346(28) |
| Orbital inclination, i (deg) | 63 (3) |
| Pulsar mass, Mp (M⊙) | 1.39(3) |
| Companion mass, Mc (M⊙) | 1.08(3) |
| GW orbital decay, Ṗb,int (10−12 s s−1) | −0.153 |
Notes. The solution is derived using TEMPO with the modified DDH binary model. The values in the parenthesis indicate 1-σ uncertainties on the last digit.
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