\begin{table}%t2
\caption{\label{tab:objects1}The sample of cool WDs from the GSC-II survey:
astrometric parameters.}
%\centerline
{              
\begin{tabular}{lccrrr}        
\hline\hline
ID         & RA          &  Dec          &   $\mu_{\alpha}\cos\delta$~~~  & $\mu_{\delta}$~~~~ & Epoch\\
           &(J2000)      & (J2000)       &   mas$~$yr$^{-1}$ & mas$~$yr$^{-1}$ \\
\hline
\object{GSC2U J003209.6$-$025402} &  00 32 09.57 &  --02 54 02.6  &  $630.4\pm4.4^{a}$ & $-149.5\pm4.3^a$ &1993.85     \\
\object{GSC2U J003536.0+015314} &  00 35 35.97 &  +01 53 14.0  &   $-139.0\pm1.5$  & $-361.2\pm1.3$ & 1991.76  \\
\object{GSC2U J010456.6+212002} &  01 04 56.62 &  +21 20 02.0  &   $-208.4\pm2.9$  & $-434.1\pm2.8$ &  1991.63  \\
\object{GSC2U J010458.1+212021} &  01 04 58.10 &  +21 20 21.0  &   $-205.7\pm2.8$  & $-437.4\pm2.5$ &  1991.63  \\
\object{GSC2U J025936.9+172533}&  02 59 35.86 &  +17 25 33.0  &    $-271.4\pm8.5^{a}$ &$-93.5\pm7.8^a$&1991.79\\
\object{GSC2U J030339.2+140805} &  03 03 39.15 & +14 08 05.0 & $      50.8\pm1.9^{b}$ & $-477.4\pm35.5^b$ &1991.79\\
\object{GSC2U J031000.4+163022} &  03 10 00.43 &  +16 30 22.0  &    $208.5\pm4.1^{a}$& $-193.3\pm4.4^a$&1991.79 \\
\object{GSC2U J071858.8+551406}  &  07 18 58.80 &  +55 14 06.0  &   $161.7\pm3.9$  & $-191.6\pm7.8$ & 1989.93 \\
\object{GSC2U J113524.7+271741}  &  11 35 24.72 &  +27 17 41.4  &  $-349.4\pm4.0$ &$-62.5\pm3.8$  &1995.31\\
\object{GSC2U J114625.7$-$013635}    &  11 46 25.68 &  --01 36 34.8 &$351.8\pm0.6$  &$-433.7\pm1.4$ & 1995.00\\
\object{GSC2U J122810.3+415003}   &  12 28 10.32 &  +41 50 03.5  & $-262.9\pm4.5$  & $64.8\pm5.2$ &1988.22\\
\object{GSC2U J123752.6+415622}  &  12 37 52.56 &  +41 56 22.4   & $-337.2\pm2.8$ &$340.6\pm0.7$ &1988.22       \\
\object{GSC2U J123915.4+452520}  &  12 39 15.36 &  +45 25 20.4  &  $-637.1\pm1.7$      &  $-530.5\pm3.1$&  1988.22 \\
\object{GSC2U J124212.6+295801}   &  12 42 12.57 &  +29 58 00.6  & $-515.1\pm4.2$  &$-350.9\pm19.8$ &1990,08\\
\object{GSC2U J125313.0+343712}  &  12 53 12.96 &  +34 37 11.7  &  $-303.9\pm7.6$  &$161.2\pm2.1$& 1990.21 \\
\object{GSC2U J125509.6+465520}  &  12 55 09.60 &  +46 55 19.9  &  $-1087.9\pm2.7$ & $-84.2\pm3.8$&1988.22  \\
\object{GSC2U J125946.8+273404}  &  12 59 46.80 &  +27 34 03.6  &  $-311.5\pm 10.4$  &$81.3\pm8.6$ &1993.29   \\
\object{GSC2U J131147.2+292348}  &  13 11 47.28 &  +29 23 47.4  &  $-384.9\pm 2.5^{c}$   &$320.3\pm4.2^c $&  1995.23  \\
\object{GSC2U J131749.0+215715} &  13 17 48.98 &  +21 57 14.7 &    $-26.9\pm 1.9$    &$-274.8\pm1.6$ & 1996.30\\
\object{GSC2U J132325.2+303615}  &  13 23 25.20 &  +30 36 15.3  &  $-101.6\pm2.4$    &$-405.2\pm5.3$ &1995.31\\
\object{GSC2U J132857.4+445034}  &  13 28 57.36 &  +44 50 34.5  &$106.4\pm2.7$    &$-223.6\pm3.1$ & 1994.42 \\
\object{GSC2U J132909.6+310947}  &  13 29 09.60 &  +31 09 47.2  &  $-244.8\pm3.7$    &  $89.1\pm0.7$ & 1995.31  \\
\object{GSC2U J133059.8+302955}  &  13 30 59.76 &  +30 29 55.1   & $-471.9\pm2.1$ &  $-107.5\pm1.8$  & 1995.31  \\
\object{GSC2U J133250.9+011707}  &  13 32 50.88 &  +01 17 07.2 &$     13.4\pm1.6$ & $-274.6\pm2.1$ &1996.23\\
\object{GSC2U J133360.0+001654}    &  13 33 60.00 &  +00 16 54.3 & $-328.9\pm2.0$   & $206.1\pm2.0$ & 1996.22  \\
\object{GSC2U J133616.1+001733} &  13 36 16.08 &  +00 17 33.0  &   $-280.0\pm0.9$ &  $-139.8\pm1.3$  &1996.23 \\
\object{GSC2U J133620.4+364829}   &  13 36 20.40 &  +36 48 29.2  & $-248.4\pm5.3$    &$222.5\pm4.1$ &  1996.22\\
\object{GSC2U J134043.4+020348}      & 13 40 43.44 &  +02 03 48.2 &$-531.3\pm2.3$ &   $31.5\pm0.9$ & 1996.23 \\
\object{GSC2U J134107.9+415004}   &  13 41 07.92 &  +41 50 04.5 &  $-217.0\pm1.4$ &  $-188.7\pm3.3$  & 1996.22 \\
\object{GSC2U J135118.4+425317}   &  13 51 18.35 &  +42 53 16.8  &  $213.7\pm2.8$   &$-253.8\pm3.8$  & 1994.42 \\
\object{GSC2U J155611.5+115351}  &  15 56 11.52 &  +11 53 51.4  &  $-193.1\pm3.7$ &   $26.0\pm6.0$ &  1994.42\\
\object{GSC2U J155721.8+141212}      &  15 57 21.75 &  +14 12 11.9&$-204.7\pm1.4$ &$-244.2\pm4.8$   & 1994.44 \\
\object{GSC2U J162242.0+670112}  &  16 22 42.00 &  +67 01 12.3  &   $-76.2\pm3.6$  & $181.5\pm2.8$ &  1994.42  \\
\object{GSC2U J165237.4$-$011354}     &  16 52 37.44 &  --01 13 54.5 &$131.3\pm1.7$ &$-359.1\pm0.9$  &   1990.40 \\
\object{GSC2U J222233.1+122140}  &  22 22 33.12 &  +12 21 40.3  &    $706.3\pm2.3$ &$185.5\pm2.4$ &     1987.72\\
\object{GSC2U J224011.2$-$030316} &  22 40 11.25 &  --03 03 16.0   & $-202.1\pm5.3$ &$-217.7\pm2.3$  & 1995.59    \\
\object{GSC2U J231518.5$-$020942}   &  23 15 18.48 &  --02 09 42.0  & $578.4\pm2.1$ & $169.5\pm1.3$&1990.66 \\
\object{GSC2U J232115.4+010214}  &  23 21 15.36 &  +01 02 14.4   &  $-104.6\pm2.4$ & $-244.8\pm1.9$ &1990.66 \\
\object{GSC2U J232116.8+010227} &  23 21 15.84 &  +01 02 27.0   &    $-98.0\pm6.6$ & $-242.5\pm3.3$ &1990.66 \\
\object{GSC2U J233539.1+123048}  &  23 35 39.12 &  +12 30 48.2     &$-111.3\pm1.5$ & $-134.1\pm1.9$ & 1995.82\\
\object{GSC2U J233707.4+003240} &  23 37 07.44 &  +00 32 40.3   &    $299.7\pm1.9$ &$158.5\pm1.6$ &  1990.74\\
\hline
\end{tabular}}
\smallskip
 $^{a}$ Proper motions computed from POSS-I, SERC-J, SERC-ER, and SERC-I positions
 $(\alpha, \delta)$ extracted from the GSC-II database.\\
 $^{b}$ Proper motions computed from POSS-II positions $(\alpha,
\delta)$ extracted from the GSC-II database $(\Delta T=6.0$
years).\\
 $^{c}$ The value ($\mu_{\delta}=0.286''~$yr$^{-1}$) reported
in Carollo et~al. (2002) was affected by a systematic error.
We report here the updated value.
\end{table}