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Table 1:

Timing solutions for the pulsars.

Pulsar name ..........................................
J1721-2457 J1745-0952 J1810-2005 J1918-0642
Fit and data-set      
MJD range ............................................ 52 076-54 799 52 076-54 776 50 757-54 796 52 094-54 814
Number of TOAs .................................. 120 113 491 152
Rms timing residual ($\mu$s) ..................... 31.9 20.8 270.7 2.6
Weighted fit ......................................... Y Y Y Y
Reduced $\chi^2$ valuea ............................... 1.05 1.02 1.01 1.04
Measured quantities      
Right ascension, $\alpha$ (J2000) ................... 17$^{\rm h}$21$^{\rm m}$05 $.\!\!^{\rm s}$4963(3) 17$^{\rm h}$45$^{\rm m}$09 $.\!\!^{\rm s}$1348(2) 18$^{\rm h}$10$^{\rm m}$58 $.\!\!^{\rm s}$9919(6) 19$^{\rm h}$18$^{\rm m}$48 $.\!\!^{\rm s}$035270(13)
Declination, $\delta$ (J2000) .......................... -24°57$^\prime$06 $.\!\!^{\prime\prime}$36(6) -09$^$52$^\prime$39 $.\!\!^{\prime\prime}$682(15) -20$^$05$^\prime$08 $.\!\!^{\prime\prime}$27(14) -06$^$42$^\prime$34 $.\!\!^{\prime\prime}$8636(6)
Pulse frequency, $\nu$ (s-1) ........................ 285.989343507338(15) 51.609431233273(5) 30.467142155106(7) 130.7895141841235(6)
First derivative of pulse frequency, $\dot{\nu}$ (s-2) - $4.533(5) \times 10^{-16}$ - $2.4627(13)\times 10^{-16}$ - $1.3684(11) \times 10^{-16}$ - $4.39525(17) \times 10^{-16}$
Dispersion measure, DM (cm-3pc) ...... 48.34(3) 64.27(9) 241.0(3) 26.554(10)
Proper motion in RA, $\mu_{\rm\alpha}$ (mas yr-1) ... 1.8(1.8) -21.2(1.1) 0(2) -7.20(10)
Proper motion in Dec, $\mu_{\rm\delta}$ (mas yr-1) ... -14(25) 11(5) 17(37) -5.7(3)
Binary ..................................................... - ELL1 ELL1 ELL1
Orbital period, $P_{\rm b}$ (d) ..............................   4.943453386(12) 15.01201911(4) 10.9131777486(12)
Projected semi-major axis of orbit, x (lt-s)   2.378599(5) 11.977880(18) 8.3504716(4)
TASC (MJD) ...........................................   53198.621445(3) 53195.528458(4) 53402.53135510(8)
EPS1 ( $\epsilon_1$) ..........................................   0.000009(3) 0.000009(3) -0.00001244(9)
EPS2 ( $\epsilon_2$) ..........................................   -0.000004(4) -0.000017(3) -0.00001555(9)
Set quantities      
Epoch of frequency determination (MJD) 53400.0 53200.0 53200.0 53400.0
Epoch of position determination (MJD)... 53400.0 53200.0 53200.0 53400.0
Epoch of DM determination (MJD) ......... 53400.0 53200.0 53200.0 53400.0
Derived quantities      
Orbital eccentricity, $e = \sqrt{\epsilon_1^{2}+\epsilon_2^{2}}$ .......... - $1.0(0.4) \times 10^{-5}$ $1.9(4) \times 10^{-5}$ $1.991(13) \times 10^{-5}$
Omega, $\omega$ = arctan ( $\epsilon_1/\epsilon_2)$ ( $\hbox{$^\circ$ }$) ...... - 114(28) 152(12) 218.6(4)
Characteristic age, (Gyr) ........................ 10.0 3.3 3.5 4.7
Surface magnetic field strength, (108G).. 1.4 13.5 22.4 4.4
Distanceb, (kpc) ...................................... 1.3(2) 1.8(3) 4.0(4) 1.23(13)
Spin period (ms) ..................................... 3.49663 19.3763 32.8222 7.64587
Spin period derivative ............................ $5.55 \times 10^{-21}$ $9.23 \times 10^{-20}$ $1.47 \times 10^{-19}$ $2.57 \times 10^{-20}$
Mass function, ($M_\odot $ ) ............................... - 0.000591270(4) 0.00818737(4) 0.0052494438(8)
Minimum companion mass, ($M_\odot $ ) .......... - 0.11 0.28 0.24
Total proper motion, $\mu_{\rm T}$ (mas yr-1) .... 15(25) 24(2) 17(37) 9.2(2)
Transverse velocity, $V_{\rm T}$ (km s-1) ............. <140c 200(50) <400c 54(7)
Assumptions      
Clock correction procedure ................... TT(TAI)    
Solar system ephemeris model .............. DE405    
Model version number ........................... 5.00    

Notes. Figures in parentheses are the nominal 1$\sigma$ TEMPO2 uncertainties in the least-significant digits quoted. (a) Before combining the data sets from the different observatories, the errors on the TOAs were scaled with a constant factor to have each individual data set return a reduced $\chi^2\approx 1$. (b) The DM distances are estimated from the Cordes & Lazio (2002) model. (c) Velocity limits from Eq. (1).


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