\begin{table}%t4
\caption{\label{tab:hermeocentriclong}Orbital parameters in the long-term hermeocentric integration. {\it 
Notes:} Columns are, from left: Object designation; initial hermeocentric~$a$ 
and~$e$; average~$a$ with extreme range; duration of hermeocentric orbit; 
rotational sense (prograde/retrograde); notes or end fate ("CO'' indicates 
collision with Mercury). Data from integration 5 for situation at~$t=4.54$~Myr. 
Values of~$<a>$ are for the initial~75~kyr of the integration, unless otherwise 
indicated in the "Note'' column. Object~93r is the originally identified 
satellite.}
%\centering
\par
\begin{tabular}{lrrrrrl} \hline\hline
Object & $a_{\rm ini}$ & $e_{\rm ini}$ & $<a>$ & $t_{\rm orb}$ & Sense & Note\\
& (AU) & & (AU) & (yr) & & \\ \hline
93r & -- 	  & --	  &0.000742~$\pm$~0.000207& 
$2.46\times10^6$&	R &   \\
15-15r & 0.000245 & 0	  &0.000245~$\pm$~0.000034& $>$$4.54\times10^6$&	R &   
\\
15-15p & 0.000245 & 0	  &0.000247~$\pm$~0.000030& $>$$4.54\times10^6$&	P &    
\\
{\it ibid}&       &  	  &0.000244~$\pm$~0.000002&  		   &	  &  
1.81$<t$ (Myr) $<$ 4.54 \\
30-15r & 0.000367 & 0.333 &0.000371~$\pm$~0.000079& $>$$4.54\times10^6$&	R &   
\\
30-15p & 0.000367 & 0.333 &0.000374~$\pm$~0.000088& $>$$4.54\times10^6$&	P &   
\\
45-15r & 0.000490 & 0.500 &0.000515~$\pm$~0.000230& $>$$4.54\times10^6$&	R &   
\\
45-15p & 0.000490 & 0.500 &0.000516~$\pm$~0.000131&  	      2420 &  	P &  CO 
at 141 kyr \\
60-15r & 0.000612 & 0.667 &--&   4.6 &	R &  CO at 1.29 Myr\\
30-30r & 0.000490 & 0     &0.000490~$\pm$~0.000076& $>$$4.54\times10^6$&	R &   
\\
{\it ibid}& 	  &	  &0.000491~$\pm$~0.000126& 		   &	  &  
$1.81<t$~(Myr) $<$ 2.21 \\
30-30p & 0.000490 & 0     &0.000478~$\pm$~0.000018& $>$$4.54\times10^6$&	P &   
\\
45-30r & 0.000612 & 0.200 &0.000634~$\pm$~0.000188& $7.83\times10^5$ &	R & CO 
at 
3.04 Myr\\
{\it ibid}&	  & 	  &0.000598~$\pm$~0.000181& 		   & 	&   
$51.6<t$ (kyr) $<$ 78.2 \\
45-30p & 0.000612 & 0.200 &--&   4.8 &	P &  CO at 92 years \\
60-30r & 0.000736 & 0.333 &--&    52 & 	R &  CO at 214 kyr \\
60-30p & 0.000736 & 0.333 &--&  0.50 & 	P &  CO at 2358 years \\
75-30r & 0.000857 & 0.429 &--&  0.54 &	R &   \\
45-45r & 0.000736 & 0 	  &--&    56 &	R &   \\
60-45r & 0.000857 & 0.143 &--&    21 &	R &  CO at 3490 years \\
75-45r & 0.000979 & 0.250 &--&    15 &	R &  CO at 16.6 kyr \\
60-60r & 0.000979 & 0 	  &--&   3.4 &	R &  CO at 478 years \\
60-60p & 0.000979 & 0 	  &--&  0.46 &	P &  CO at 200 kyr \\
75-60r & 0.001102 & 0.111 &--&   1.7 &	R &   \\
75-75r & 0.001224 & 0 	  &--&    $>$0.27, $<$1.29 &	R &  CO at 472 days \\ 
\hline
\end{tabular}
\end{table}