\begin{table}%ta1
\par
      \caption{\label{table.the42s.mu}USNO-B1 stars towards $\sigma$~Orionis with  
      $\mu_{\rm USNO-B1} > 40$~mas~a$^{-1}$, $J_{\rm 2MASS} < 15.5$~mag,
      and $N_{\rm USNO-B1} > 3$: coordinates, magnitudes, and proper motions.}  
         \small%\centering
\par
         \begin{tabular}{c ccc c ccc c ccc}
            \hline
            \hline
            \noalign{\smallskip}
	& 
\multicolumn{3}{c}{2MASS}		&
 	& 
\multicolumn{3}{c}{USNO-B1}		&
 	& 
\multicolumn{3}{c}{This work}		\\
        \noalign{\smallskip}
 	No.					&
$\alpha^{J2000}$			& 
$\delta^{J2000}$			& 
$J$					& 
					&
$\mu_\alpha \cos{\delta}$		& 
$\mu_\delta$				& 
$N$					&
					&
$\mu_\alpha \cos{\delta}$		& 
$\mu_\delta$				&				
$N$					\\ 
  					& 
					& 
					& 
[mag]					& 
					&
[mas~a$^{-1}$]				& 
[mas~a$^{-1}$]				& 
					& 
					&
[mas~a$^{-1}$]				& 
[mas~a$^{-1}$]				&
					\\
              \hline
  01   	& 084.595001	& --03.064613	& 14.59~$\pm$~0.03	&	& +18   &--40   & 5     &	& +19.2~$\pm$~1.0     &--36.3~$\pm$~1.7	& 9	\\ %	   
02	& 084.425714	& --03.025405   & 14.53~$\pm$~0.03	&	&--82	&--62	& 5     &	&--54.0~$\pm$~1.9     &--62.7~$\pm$~1.2	& 8	\\ %	 (***02)	
03   	& 084.826136	& --03.013852   & 13.07~$\pm$~0.02	&	& +10	&--50	& 5     &	& +11.4~$\pm$~1.1     &--46.1~$\pm$~0.9	& 8	\\ %	   
04   	& 084.539224	& --03.003337   & 14.26~$\pm$~0.03	&	& +30	& +28	& 5     &	& +11.0~$\pm$~1.2     &  +3.9~$\pm$~1.3	& 8	\\ %	 (***04)	  
05   	& 084.948355	& --02.983131   & 10.36~$\pm$~0.03	&	& +42	&--14	& 5     &	& +47.6~$\pm$~1.1     &--17.5~$\pm$~0.9	& 9	\\ % J05394761-0258593   
06   	& 084.850070	& --02.963510   & 11.26~$\pm$~0.03    	&	& +32   & +80   & 5     &	& +34.3~$\pm$~0.5     & +82.8~$\pm$~1.0	& 9	\\ % SO411068
07   	& 084.850866	& --02.924599   & 11.79~$\pm$~0.03    	&	& +14   &--54   & 5     &	& +14.0~$\pm$~0.7     &--59.5~$\pm$~0.5	& 9	\\ % SO441143	 
08   	& 084.642299	& --02.859457   & 15.18~$\pm$~0.04    	&	& +54   &--52   & 4     &	& +44.3~$\pm$~1.5     &--61.9~$\pm$~0.7	& 7	\\ %	 (J=15.181mag)   
09	& 084.244956	& --02.819184   & 13.62~$\pm$~0.04    	&	&  +6   & +70   & 4     &	& --9.4~$\pm$~1.6     &--22.9~$\pm$~1.6	& 9	\\ %	 (***09)   
10   	& 084.369333	& --02.779688   & 14.81~$\pm$~0.03    	&	&--28   &--36   & 5     &	&--29.9~$\pm$~0.7     &--37.9~$\pm$~1.2	& 7	\\ % [KJN2005] 38  
11   	& 084.706846	& --02.757468   & 13.15~$\pm$~0.03    	&	&--54   &--24   & 5     &	&--55.3~$\pm$~0.9     &--23.1~$\pm$~1.8	& 8	\\ % [SWW2004] J053849.560-024526.94	
12	& 084.533024	& --02.752464   & 15.33~$\pm$~0.05    	&	& +20   &--36   & 4     &	& --7.5~$\pm$~1.8     &--72.0~$\pm$~1.6	& 7	\\ %	 (***12)   
13   	& 084.485297	& --02.732624   & 13.04~$\pm$~0.03    	&	& +20   &--40   & 5     &	& +20.2~$\pm$~1.1     &--41.5~$\pm$~0.9	& 8	\\ % [SWW2004] J053756.467-024357.36	
14   	& 085.152776	& --02.729698   & 11.54~$\pm$~0.03    	&	& +50   & +10   & 4     &	& +43.9~$\pm$~0.9     &  +0.3~$\pm$~1.0	& 9	\\ % J05403667-0243469  
15   	& 085.098384	& --02.718792   & 11.37~$\pm$~0.03    	&	& +62   &--96   & 5     &	& +63.8~$\pm$~1.2     &--89.4~$\pm$~1.5	& 10	\\ % SO430116	 
16   	& 084.730988	& --02.691593   & 12.17~$\pm$~0.03    	&	& +96   &  +8   & 5     &	& +96.6~$\pm$~0.9     & +11.8~$\pm$~0.7	& 9	\\ % [SWW2004] J053855.425-024129.68, [SFR2008] S38 (***16)	  
17   	& 084.270844	& --02.684343   & 14.37~$\pm$~0.03    	&	&  +6   &--42   & 5     &	&  +3.5~$\pm$~1.0     &--43.3~$\pm$~1.0	& 7	\\ % [SWW2004] J053705.004-024103.43	
18	& 084.523630	& --02.672057   & 12.77~$\pm$~0.03    	&	&--20   &--40   & 4     &	& +24.3~$\pm$~1.2     &--74.4~$\pm$~1.3	& 8	\\ % [SWW2004] J053805.676-024019.36, [SFR2008] S50 (***18)	  
19   	& 085.122689	& --02.651908   & 13.98~$\pm$~0.03    	&	&--12   &--46   & 5     &	& --8.9~$\pm$~1.2     &--43.5~$\pm$~0.5	& 8	\\ %	   
20   	& 084.472224	& --02.602508   & 14.94~$\pm$~0.05    	&	& +38   & +30   & 5     &	& --2.6~$\pm$~1.3     &--20.2~$\pm$~0.9	& 8	\\ %	 (***20)	      
21   	& 085.032746	& --02.598684   & 14.65~$\pm$~0.04    	&	&  +6   &--40   & 5     &	& --9.1~$\pm$~0.7     &--30.0~$\pm$~1.9	& 8	\\ %	 (***21)   
22   	& 084.346086	& --02.546276   & 14.18~$\pm$~0.04    	&	&--42   &  +0   & 5     &	&--20.0~$\pm$~0.7     &--22.2~$\pm$~0.6	& 8	\\ % [SWW2004] J053723.067-023246.38 (***22)	
23   	& 084.257197	& --02.544301   & 15.29~$\pm$~0.07    	&	& +40   &--18   & 4     &	& +40.0~$\pm$~0.7     &--40.2~$\pm$~1.1	& 8	\\ %	 (J=15.293mag)  
24   	& 084.379406	& --02.528789   & 10.46~$\pm$~0.03    	&	& +50   &--282  & 5     &	& +49.9~$\pm$~0.4    &--282.0~$\pm$~0.8	& 9	\\ % G 99-20	
25   	& 085.175498	& --02.516978   & 14.17~$\pm$~0.03    	&	&--30   &--34   & 5     &	&--28.8~$\pm$~1.0     &--32.9~$\pm$~1.0	& 8	\\ %	   
26   	& 084.815180	& --02.499121   &  9.81~$\pm$~0.03    	&	&  +0   &--42   & 5     &	& --0.6~$\pm$~1.1     &--39.9~$\pm$~0.6	& 9	\\ % J05391564-0229568   
27   	& 084.622984	& --02.479908   & 14.87~$\pm$~0.03    	&	& +32   & +46   & 5     &	& +33.9~$\pm$~1.4     & +36.9~$\pm$~1.0	& 8	\\ %	   
28   	& 084.353969	& --02.476976   & 12.75~$\pm$~0.02    	&	&--10   &--40   & 5     &	& --9.9~$\pm$~0.4     &--38.5~$\pm$~0.8	& 8	\\ %	   
29   	& 085.159839	& --02.451720   & 14.02~$\pm$~0.03    	&	& +78   &--104  & 4     &	& +70.7~$\pm$~1.1    &--115.3~$\pm$~1.2	& 7	\\ %	   
30   	& 084.665077	& --02.447131   & 11.22~$\pm$~0.03    	&	& +46   &--18   & 5     &	& +48.4~$\pm$~0.9     &--25.8~$\pm$~0.6	& 10	\\ % SO120908	 
31   	& 084.774245	& --02.437633   & 14.34~$\pm$~0.03    	&	& --6   &--40   & 5     &	& --5.0~$\pm$~0.3     &--43.4~$\pm$~0.6	& 7	\\ % [KJN2005] 30 / [SE2004] 42 
32   	& 084.462951	& --02.435409   & 14.92~$\pm$~0.04    	&	&+240   &--210  & 4     &	& --5.8~$\pm$~0.5     &--13.0~$\pm$~1.3	& 7	\\ % Mayrit 999306 / [BZR99] S Ori 23 (faint; i=17.135mag,J=14.921mag)     
33	& 084.806169	& --02.397745	& 13.95~$\pm$~0.03    	&	& +50   & +22   & 5     &	& +54.1~$\pm$~0.5     & +25.1~$\pm$~0.4	& 8	\\ % [KJN2005] 12
34\tablefootmark{a}& 084.362205	& --02.365031	& 11.41~$\pm$~0.02    	&	&--18   & +44   & 5     &	&--23.9~$\pm$~1.1     & +44.6~$\pm$~1.5	& 10	\\ % SO241003 (rho=2.8arcsec,theta=128deg,DZ=2.9mag,DH=3.6mag,no-K)
35	& 084.999408	& --02.339369	& 14.59~$\pm$~0.03    	&	& +44   & +12   & 5     &	& +44.3~$\pm$~0.5     & +11.6~$\pm$~0.6	& 8	\\ %	      
36	& 085.004221	& --02.333267	& 13.10~$\pm$~0.03    	&	&--12   & +48   & 4     &	& --7.0~$\pm$~0.6     & --5.9~$\pm$~0.3	& 7	\\ % Mayrit 1493050 (faint; i=15.307mag,J=13.096mag)	 
37	& 084.923889	& --02.329536	& 14.22~$\pm$~0.03    	&	& +20   &--36   & 5     &	& +25.5~$\pm$~0.8     &--32.8~$\pm$~0.8	& 8	\\ % [SWW2004] J053941.738-021946.22 
38	& 084.720246	& --02.324637	& 14.23~$\pm$~0.03    	&	& +70   &--108  & 5     &	&  +8.9~$\pm$~0.7     & --1.4~$\pm$~0.8	& 8	\\ %	 (***37)  
39	& 084.355084	& --02.267993	& 13.80~$\pm$~0.04    	&	&--34   &--54   & 5     &	&--34.1~$\pm$~0.2     &--56.0~$\pm$~0.3	& 7	\\ % [SWW2004] J053725.220-021604.56
40	& 084.543043	& --02.233226	& 13.47~$\pm$~0.03    	&	&+104   & --6   & 5     &	& +96.4~$\pm$~0.4     & --6.3~$\pm$~0.6	& 8	\\ % [SE2004] 57, [KJN2005] 7	
41\tablefootmark{b}& 084.969042	& --02.192280	& 14.85~$\pm$~0.04    	&	& +54   &--82   & 4     &	& +59.8~$\pm$~1.2     &--80.7~$\pm$~1.1	& 8	\\ % [SE2004] 112 (rho=2.4arcsec,theta~177deg,DZ=3.0mag,DKs=2.9mag)	
42\tablefootmark{c}& 084.560575	& --02.170903   & 12.48~$\pm$~0.03    	&	&--52   &--32   & 4     &	&  +2.4~$\pm$~0.5     &  +6.3~$\pm$~0.5	& 8	\\  
            \hline
         \end{tabular} 
\tablefoot{\tablefoottext{a}{Star No.~34 is a close binary, only resolved by UKIDSS ($\rho
\sim 2.8$~arcsec, $\theta \sim 128$~deg, $\Delta Z \sim \Delta K \sim 3$~mag).}\\
\tablefoottext{b}{Star No.~41 is a close binary, only resolved by UKIDSS ($\rho
\sim 2.4$~arcsec, $\theta \sim 177$~deg, $\Delta Z \sim \Delta K \sim 3$~mag).}\\
\tablefoottext{c}{The USNO-B1 proper motion values of star No.~42 actually
correspond to a faint source at 4.5~arcsec to the southwest of the tabulated
coordinates (see Sect.~\ref{section.binaries}).}} 
   \end{table}