Table 3.
Parameters for the PSR J2222−0137 binary system.
Fit for PM | Fit PM, DMX model | VLBI PM, DMX model | |
---|---|---|---|
General timing parameters | |||
Right Ascension, α (J2000) | 22h:22m:05![]() |
22h:22m:05![]() |
22h:22m:05![]() |
Offset in α, Δα (J2000) | 0![]() |
−0![]() |
−0![]() |
Declination, δ (J2000) | −01 deg:37′:15![]() |
−01 deg:37′:15![]() |
−01 deg:37′:15![]() |
Offset in δ, Δδ (J2000) | −0![]() |
−0![]() |
+0![]() |
Proper motion in α, μα (mas yr−1) | 44.61(3) | 44.66(5) | 44.70 |
Proper motion in δ, μδ (mas yr−1) | −5.26(5) | −5.46(12) | −5.69 |
Parallax, ϖ (mas) | 3.730 | 3.730 | 3.730 |
Spin frequency, ν (Hz) | 30.4712137997270(1) | 30.4712137997271(1) | 30.4712137997271(1) |
Spin frequency derivative, ![]() |
−53.879(2) | −53.895(2) | −53.896(2) |
Dispersion measure, DM (pc cm−3) | 3.2826(2) | 3.2805 | 3.2805 |
DM derivative, DM1 (pc cm−3 yr−1) | −0.00016(5) | − | − |
DM derivative, DM2 (pc cm−3 yr−2) | 0.00015(3) | − | − |
DM derivative, DM3 (pc cm−3 yr−3) | −0.000005(6) | − | − |
Weighted residual rms (μs) | 2.781 | 2.756 | 2.759 |
χ2 | 10799.74 | 10609.25 | 10629.20 |
Reduced χ2 | 1.0051 | 0.9918 | 0.9935 |
Binary parameters | |||
Orbital period, Pb (days) | 2.445759995469(5) | 2.445759995475(6) | 2.445759995471(6) |
Projected semi-major axis of the pulsar orbit, x (lt-s) | 10.8480212(2) | 10.8480213(2) | 10.8480213(2) |
Time of ascending node, Tasc (MJD) | 58001.200912600(2) | 58001.200912601(2) | 58001.200912600(2) |
ϵ1 | 0.00032837(1) | 0.00032836(2) | 0.00032836(2) |
ϵ2 | −0.000193085(8) | −0.000193095(9) | −0.000193092(9) |
Rate of advance of periastron, ![]() |
0.09668(44) | 0.09611(48) | 0.09607(48) |
Orthometric amplitude of Shapiro delay, h3 (μs) | 5.052(24) | 5.047(27) | 5.052(27) |
Orthometric ratio of Shapiro delay, ς | 0.9210(13) | 0.9215(14) | 0.9212(14) |
Variation in Pb, Ṗb,obs (10−12 s s−1) | 0.2586(69) | 0.2482(76) | 0.2554(74) |
Variation in x, ẋ (10−15lt-s s−1) | −7.88(45) | −8.21(49) | −8.00(49) |
Derived parameters | |||
Pulsar spin period, P (s) | 0.0328178590643790(1) | 0.0328178590643789(1) | 0.0328178590643789(1) |
Spin period derivative, Ṗ (10−21 s s−1) | 58.028(2) | 58.046(2) | 58.047(2) |
Intrinsic period derivative, Ṗint (10−21 s s−1) | 17.1(3) | 17.0(3) | 16.9(3) |
Surface magnetic field strength, B0 (109 G) | 0.76 | 0.75 | 0.75 |
Characteristic age, τc (Gyr) | 30.4 | 30.6 | 30.8 |
Spin-down energy, Ė (1030 erg s−1) | 19.1 | 19.0 | 18.8 |
Mass function, f (M⊙) | 0.22914303(1) | 0.22914304(1) | 0.22914303(1) |
Pulsar mass, Mp (M⊙) | 1.81(3) | 1.81(3) | 1.81(3) |
Companion mass, Mc (M⊙) | 1.313(9) | 1.310(9) | 1.312(9) |
Total binary mass, M (M⊙) | 3.13(3) | 3.12(3) | 3.12(3) |
Orbital inclination, i (deg) | 85.29(8) | 85.32(9) | 85.30(9) |
Intrinsic Ṗb, Ṗb,int (10−12 s s−1) | −0.005(7) | −0.016(8) | −0.010(8) |
Notes. Timing parameters derived using TEMPO when fitting for proper motion and DM derivatives (left column), fitting for proper motion and using DMX model (middle column), fixing proper motion at VLBI value and using the DMX model (right column). In all columns we use the VLBI parallax (see text). The α and δ offsets are calculated relative to the VLBI positions (see Table 1). The binary parameters are derived using the ELL1H+ orbital model. Numbers in parentheses represent 1σ uncertainties in the last digits. The reference epoch is MJD = 58000, and the position epoch is MJD = 55743 for consistency with Deller et al. (2013) and the analysis in Sect. 2.
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