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Table 2.

Timing parameters resulting from the DDH and DDGR fits.

Data reduction parameters
Binary model DDH DDGR
TEMPO2 wrapper TempoNEST chi2Map.py
Solar System ephemeris DE430 DE430
Timescale TCB TCB
Reference epoch for period and DM 59390 59390
Number of ToAs 384 384
Root mean squared of ToA residuals (μs) 36.99 36.93 (a)
Reduced χ2 0.949 0.944 (a)

Spin and astrometric parameters

Right ascension, α (J2000, hh:mm:ss) 12:08:27.024(1) 12:08:27.023(1)
Declination, δ (J2000, dd:mm:ss) −59:36:20.485(5) −59:36:20.486(6)
Spin frequency, ν (Hz) 34.8263871091(1) 34.8263871091(2)
Spin-down rate, (10−17 Hz s−1) −3.6(1.1) −3.1(1.3)
Dispersion measure, DM (pc cm−3) 344.427(6) 344.428(6)
First derivative of DM, DM1 (10−2 pc cm−3 yr−1) 2.36(86) 2.40(98)

Keplerian orbital parameters

Orbital period, Pb (days) 0.631566177(3) 0.631566176(4)
Orbital eccentricity, e 0.347988(1) 0.347988(2)
Longitude of periastron, ω (deg) 247.98(1) 247.98(2)
Projected semi-major axis of the pulsar orbit, x (ls) 4.2570(4) 4.2571(5)
Epoch of periastron, T0 (MJD) 59340.210571(2) 59340.210572(2)

Post-Keplerian (PK) orbital parameters

Rate of advance of periastron (deg yr−1) 0.918(1) [0.918(1)] (b)
Amplitude of Einstein delay, γE (ms) 2.93(98) {}
Orthometric amplitude of Shapiro delay, h3 (μs) 1.10(97) {}
Orthometric ratio of Shapiro delay, ς 0.41(18) {}
Derivative of orbital period, (10−13 s s−1) ... {}
Derivative of projected semi-major axis, GR (10−18 ls s−1) ... {}

Mass measurements and derived orbital parameters

Mass function, fM (M) 0.20758(6) 0.20760(7)
Total mass, Mt (M) [2.586(5)] (b) 2.586(6)
Companion mass, Mc (M) {} 1.39(37)/{} (c)
Pulsar mass, Mp (M) {} {}
Inclination angle, i (deg) {55(9)} {57(12)}
Merger time, τm (Gyr) 7.2(2)

Derived spin and astrometric parameters

Galactic longitude, l (deg) 297.512
Galactic latitude, b (deg) 2.813
Spin period, P0 (ms) 28.7138598921(1) 28.7138598921(2)
Spin period derivative, (10−20 s s−1) 2.98(0.90) 2.57(1.04)
Characteristic age, τc (Gyr) > 10
Surface magnetic field strength, Bsurf (109 G) < 30
NE2001 DM-derived distance, d (kpc) 8.2(1.6)
YMW16 DM-derived distance, d (kpc) 8.5(1.7)

Notes. Values without brackets come from the TempoNEST fit of DDH or the direct TEMPO2 fit of DDGR. Values with square brackets [...] are derived from the TempoNEST DDH parameters or the direct TEMPO2 DDGR parameters (Mt for DDH and for DDGR). Values with curly brackets {...} are derived from the multiplication of PK density probabilities in DDH or the χ2 mapping probability in DDGR. All Keplerian, spin, position and DM parameters presented for DDGR are taken from the direct TEMPO2 fit. These fits also include a time jump between the APSUSE and PTUSE data-sets, as well as a DM jump (see Appendix A for details).

(a)

Taken from the direct TEMPO2 DDGR fit. Variations from the χ2 mapping (Sect. 3) are only of the order of 1/369 ≈ 0.003 (Reduced χ2 = χ2/ degrees of freedom).

(b)

Derived through Eq. (2). In the DDGR case, this simple derivation has been chosen instead of the marginalisation of the χ2 mapping due to it being much more constraining.

(c)

The first value is the direct DDGR fit, with a Gaussian uncertainty. The second one results from the χ2 mapping of solutions (Sect. 3).

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