\begin{table}%t1 \caption{Timing solutions for the three pulsars. \label{tab:solution}} %\centerline {\begin{tabular}{lccc} \hline\hline Pulsar name\dotfill & J1937+2950 & J2027+4557 & J2047+5029 \\ \hline \multicolumn{2}{c}{Fit and data-set} \\ %\hline MJD range\dotfill & 53~463--54~751 & 53~462--54~751 & 53~740--54~751\\ Number of TOAs\dotfill & 85 & 89 & 101 \\ Rms timing residual (ms)\dotfill & 2.8 & 0.6 & 1.3\\ Weighted fit\dotfill & $Y$ & $Y$ & $Y$ \\ Reduced $\chi^2$ value \dotfill & 1.2 & 1.7 & 5.5 \\ \hline \multicolumn{2}{c}{Measured Quantities} \\ %\hline Right ascension, $\alpha$ (J2000)\dotfill & $19^{\rm h}37^{\rm m}47\fs603(14)$ & $20^{\rm h}27^{\rm m}16\fs233(3)$ & $20^{\rm h}47^{\rm m}54\fs6400(4)$\\ Declination, $\delta$ (J2000)\dotfill & $+29\degr50\arcmin01\fs8(2)$ & $+45\degr57\arcmin57\farcs08(4)$ & $+50\degr29\arcmin38\farcs17(4)$\\ Pulse frequency, $\nu$ (s$^{-1}$)\dotfill & 0.603344173844(9) & 0.909379126021(5) & 2.242431224778(16)\\ First derivative of pulse frequency, $\dot{\nu}$ (s$^{-2}$)\dotfill & $-$1.2672(6)$~\times~10^{-15}$ & $-$2.559(3)$~\times~10^{-16}$& $-$2.09976(8)$~\times~10^{-14}$\\ Second derivative of pulse frequency, $\ddot{\nu}$ (s$^{-3}$)\dotfill & & & $-$7.41(8)$~\times~10^{-24}$ \\ Dispersion measure, DM (cm$^{-3}$~pc)\dotfill & 113.80(2) & 229.594(11) & 107.676(5)\\ \hline \multicolumn{2}{c}{Set Quantities} \\ %\hline Epoch of frequency determination (MJD).............. & \multicolumn{2}{c}{54~250.0}\\ Epoch of position determination (MJD)............... & \multicolumn{2}{c}{54~250.0}\\ Epoch of DM determination (MJD)..................... & \multicolumn{2}{c}{54~250.0}\\ \hline \multicolumn{2}{c}{Derived Quantities} \\ %\hline Characteristic age, $\tau$ (Myr) ..................... & 7.5 & 56.3 & 1.7 \\ Surface magnetic field strength, $B$ ($10^{12}$~G) ........ & 2.4 & \phantom{0}0.6 & 1.4\\ Distance, $d$ (kpc) ....................................... & 5.1(7) & 10.5 (7.4-50.0) & 4.4(5) \\ Energy loss, $\dot{E}_{\rm rot}$ (erg~s$^{-1}$) ............ & $3.0~\times~10^{31}$ & $9.2~\times~10^{30}$ & $1.9~\times~10^{33}$\\ Energy loss/$d^2$, $\dot{E}_{\rm rot}/d^2$ (erg~s$^{-1}$~kpc$^{-2}$) \dotfill & $1.2~\times~10^{30}$ & $8.3~\times~10^{28}$ & $9.6~\times~10^{31}$\\ Mean flux density at 328~MHz, (mJy) ............................ & 8.7(6) & 9.1(9) & 2.5(3) \\ Mean flux density at 1380~MHz, (mJy) ........................... & 0.08(2) & 1.34(13) & 0.38(4) \\ Mean flux density at 2300~MHz, (mJy) .......................... & & 0.32(9) & 0.22(13) \\ Spectral index................................................. & $-3.3(2)$ & $-1.43(9)$ & $-1.39(9)$ \\ \hline \multicolumn{2}{c}{Assumptions} \\ %\hline Clock correction procedure .................................. & \multicolumn{2}{c}{TT(TAI)}\\ Solar system ephemeris model .............................. & \multicolumn{2}{c}{DE405}\\ Model version number ...................................... & \multicolumn{2}{c}{5.00}\\ \hline \end{tabular}} \par \medskip Note. Figures in parentheses are the nominal 1$\sigma$ \textsc{tempo}2 uncertainties in the least-significant digits quoted. The DM distances are estimated from the~\cite{cl02} model. \end{table}