\begin{table}%t1
\caption{Characteristic values for the VLTP, for various MTS~values. Note the dispersion in born again times according to the adopted MTS~value. The third~column shows  characteristic time for the duration of the peak of proton burning. The born-again times correspond to the
time interval from the moment of maximum~$T_{\rm eff}$ after the H~burning (and at high luminosity) until $\log{T_{\rm eff}}=3.8$ is reached for the first~time.}
\label{tab:error} 
%\centering
\par
\begin{tabular}{cccc}
\hline \hline
  MTS & $\int{L{\rm_H dt}} $ [erg] & $\Delta t$ [days] & Born-again \\ 
  & & $L_{\rm H}>(e^{-1} \times {L_{\rm H}}_{\rm max} )$& time-scale [yr] \\ 
  \hline 
  $1\times 10^{-5}$ & $4.5\times 10^{47}$ & 0.113 & 8.7 \\ 
  $3\times  10^{-5}$  &
  $4.31\times 10^{47}$ & 0.133 & 10.3 \\ 
  $1\times  10^{-4}$ &  $3.75\times
  10^{47}$ & 0.209 & 21 \\ 
  $5\times 10^{-4}$ & $2.59\times 10^{47}$ & 0.777 &
  280 \\ 
  \hline
\end{tabular} 
\end{table}