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Table 3.

Timing parameters for the pulsars Ter5aq, Ter5ar and Ter5at as obtained from fitting the observed ToAs with TEMPO.

Pulsar J1748−2446aq J1748−2446ar J1748−2446at
Right ascension, α (J2000) 17:48:04.7344(2) 17:48:04.6141(5) 17:48:05.36261(3)
Declination, δ (J2000) −24:46:42.8(1) −24:46:45.4(2) −24:46:47.07(1)
Proper motion in α, μα (mas yr−1) −1.7(5) −1.93(9)
Proper motion in δ, μδ (mas yr−1) −5.243 −7(3)
Spin frequency, f (Hz) 79.859813034659(7) 512.082391773(1) 456.999686853575(9)
1st spin frequency derivative, (Hz s−1) 4.56767(9) × 10−15 6.94(2) × 10−14 1.232138(8) × 10−14
2nd spin frequency derivative, f ¨ $ \ddot{f} $ (Hz s−2) 2.303(5) × 10−25 −3.9(3) × 10−22 1.583(6) × 10−25
3rd spin frequency derivative, f $ \dddot{f} $ (Hz s−3) −6(1) × 10−35 −2.9(4) × 10−29 −5(1) × 10−35
4th spin frequency derivative, f $ \ddddot{f} $ (Hz s−4) 7(6) × 10−36
Reference epoch (MJD) 56 674.129312 53500.000000 56 500.000000
Start of timing data (MJD) 53 204.063 53 193.201 53 193.239
End of timing data (MJD) 60 144.196 53 957.153 60 144.199
Dispersion measure, DM (pc cm−3) 238.941(7) 238.664(7) 239.469(2)
Solar system ephemeris DE440 DE440 DE440
Terrestrial time standard TT(BIPM) TT(BIPM) TT(BIPM)
Time units TDB TDB TDB
Number of TOAs 422 189 519
Residuals RMS (μs) 88.56 51.19 17.70
S1284 (mJy) 0.017 0.044 0.019
L1284 (mJy kpc2) 0.730 1.940 0.821
Angular offset from nominal cluster centre (arcmin) 0.038 0.055 0.123

Binary parameters

Binary model BTX BTX BTX
Projected semi-major axis, xp (lt-s) 0.025864(6) 1.498554(8) 0.100652(1)
Orbital eccentricity, e 0.0 0.0 0.0
Longitude of periastron, ω (deg) 0.0 0.0 0.0
Epoch of passage at periastron, T0 (MJD) 59 220.484743(6) 53 495.2744189(5) 59 097.7002667(4)
Orbital period, Pb (days) 0.1186466908(2) 0.513338728(4) 0.2188829327(1)
Orbital frequency, fb (s−1) 9.75507533(2) × 10−5 2.25466606(2) × 10−5 5.287791939(2)
1st orbital freq. derivative, f b ( 1 ) $ f^{(1)}_{\mathrm{b}} $ (s−2) 5.1(4) × 10−19 5.4(3) × 10−21
2nd orbital freq. derivative, f b ( 2 ) $ f^{(2)}_{\mathrm{b}} $ (s−3) 9.8(7) × 10−26 7(2) × 10−30
3rd orbital freq. derivative, f b ( 3 ) $ f^{(3)}_{\mathrm{b}} $ (s−4) −1.3(2) × 10−32
4th orbital Freq. derivative, f b ( 4 ) $ f^{(4)}_{\mathrm{b}} $ (s−5) −1.3(2) × 10−39
5th orbital Freq. derivative, f b ( 5 ) $ f^{(5)}_{\mathrm{b}} $ (s−6) 4.2(6) × 10−46
6th orbital Freq. derivative, f b ( 6 ) $ f^{(6)}_{\mathrm{b}} $ (s−7) −2.8(9) × 10−53

Derived parameters

Spin period, P (s) 1.25219427059248(8) × 10−2 1.952810750899(4) × 10−3 2.18818530683239(4) × 10−3
1st spin period derivative, (s s−1) −7.16198(6) × 10−19 −2.648(9) × 10−19 −5.89966(4) × 10−20
Mass function, f(Mp) (M) 1.3197(9) × 10−6 1.37117(2) × 10−2 2.28523(7) × 10−5
Minimum companion mass, Mc, min (M) 0.013 0.339 0.035
Median companion mass, Mc, med (M) 0.015 0.401 0.041

Notes. These pulsars are grouped together given their spider nature. Same assumptions have been made as stated earlier in Table 2.

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