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Table 3.

Timing solution of PSR J1952+2630 with DDGR and ELL1H+ models.

PSR J1952+2630

Binary model DDGR ELL1H+
Observation and data reduction parameters

Reference epoch (MJD) 55407.0 55407.0
Span of timing data (MJD) 55407.146–59554.385 55407.146–59554.385
Solar system ephemeris DE436 DE436
Terrestrial time standard UTC(NIST) UTC(NIST)
Time units TDB TDB
Number of ToAs 1475 1475
Weighted residual RMS (μs) 24.201 24.198
χ2 1466.43 1466.10
Reduced χ2 1.0065 1.0069

Astrometric and spin parameters

Right Ascension, α (J2000) 19:52:36.840244(57) 19:52:36.8402341(58)
Declination, δ (J2000) 26:30:28.0840(11) 26:30:28.0843(11)
Proper motion in α, μα (mas yr−1) −2.58(17) −2.57(17)
Proper motion in δ, μδ (mas yr−1) −5.29(24) −5.38(25)
Spin frequency, ν (Hz) 48.2337753923167(47) 48.2337753923193(49)
Spin frequency derivative, (10−15Hz s−1) −9.93790(9) −9.93791(9)
Dispersion Measure, DM (pc cm−3) 315.3168(17) 315.3166(17)

Binary parameters

Orbital period, Pb (days) 0.39188050(21) 0.391878632876(93)
Projected semi-major axis, xp (lt-s) 2.7981770(18) 2.7981793(49)
Orbital eccentricity, e 4.226(99) × 10−5 ...
Longitude of periastron, ω (deg) 289.56(1.64) ...
Epoch of periastron, T0 (MJD) 55407.6178(18) ...
Epoch of ascending node, Tasc (MJD) ... 55407.3025831(1)
ϵ1 ... −0.000039(2)
ϵ2 ... 0.000013(1)
Advance of periastron, (deg/yr) [1.5998941] 1.80(26)
Shapiro shape, s = sin i [0.9495500] ...
Orbital period derivative, b (10−12 s s−1) [−0.0943648] −0.096(46)
Orthometric ratio, ς ... 0.722852 (a)
Orthometric amplitude, h3, (μs) ... 1.49(61)
Total binary mass, MT (M) 2.19(38) [2.61]
Companion mass, Mc (M) 0.95(12) ...

Derived parameters

Galactic longitude, l (deg) 63.254 63.254
Galactic latitude, b (deg) −0.376 −0.376
DM derived distance from NE2001 model (kpc) 9.5647 9.5647
DM derived distance from YMW16 model (kpc) 10.03 10.03
Galactic height, z (kpc) −0.063(12) −0.063(12)
Magnitude of total proper motion, μ (mas yr−1) 5.89(23) 5.96(24)
Transverse velocity (b), vT (km s−1) 267(53) 270(54)
Spin period, P (s) 0.020732360091375(2) 0.020732360091373(2)
1st Spin period derivative, (10−18 s s−1) 4.27162(4) 4.27162(4)
Intrinsic spin period derivative, (10−18) 4.270(3) 4.270(3)
Characteristic age, τc (Myr) 76.91 76.92
Surface magnetic field, Bs (109 G) 9.49 9.49
Spin-down energy, Ė (1033 erg s−1) 18.92 18.92
Kinematic contribution to b (10−15 s s−1) 1.8 2.5
Mass function, f(Mp) (M) 0.15317962(43) 0.15318146(81)
Pulsar mass, Mp (M) 1.24(26) ...
Einstein delay, γ (s) 2 × 10−7 ...
Relativistic orbital deformation, δθ (10−6) 4.674351 ...
Relativistic orbital deformation, δr (10−6) 4.4226831 ...

Notes. Values in brackets are 1σ uncertainties, and values without uncertainties are derived from the corresponding binary model. Values in square brackets are not fit, but derived assuming GR.

(a)

Assumed value derived from the sin i parameter in the DDGR solution.

(b)

Assuming the distance and uncertainty of NE2001.

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