\begin{table}%t9 \caption{\label{tab:Systematics_HEAO3}Influence of biasing HEAO-3 data.} %\centering \par \begin{tabular}{lccccc} \hline\hline\noalign{\smallskip} HEAO-3 & $K_0^{\rm best}\times 10^2$ & $\delta^{\rm best}$ & $V_{\rm c}^{\rm best}$ & $V_{\rm a}^{\rm best}$ & $\chi^2$/d.o.f. \\ HE bias $x$ & (kpc$^2~$Myr$^{-1}$) & & (km$\;$s$^{-1}$) & (km$\;$s$^{-1}$) & \\\hline & \multicolumn{5}{c}{} \vspace{-0.25cm}\\ 0:~$+0.10$ & 4.97 & 0.28 & \dots & \dots & 22.5 \vspace{0.05cm}\\ %chi2=653.163 (31) 0:~$+0.05$ & 4.50 & 0.34 & \dots & \dots & 25.2 \vspace{0.05cm}\\ %chi2=731.798 (31) {\it 0:~}${\it +0.00}$ &{\it 4.08}&{\it 0.40}&{\it \dots}&{\it \dots}&{\it 28.8} \vspace{0.05cm}\\ %chi2=834.902 (31) 0:~$-0.05$ & 3.69 & 0.46 & \dots & \dots & 33.0 \vspace{0.25cm}\\ %chi2=956.159 (31) % I:~$+0.10$ & 0.45 & 0.81 & 13.4 & \dots & 9.77 \vspace{0.05cm}\\ %chi2=273.426 (31) I:~$+0.05$ & 0.44 & 0.87 & 13.5 & \dots & 10.2 \vspace{0.05cm}\\ %chi2=286.963 (31) {\it I:~}${\it +0.00}$ &{\it 0.42}&{\it 0.93}&{\it 13.5} &{\it \dots}&{\it 11.2} \vspace{0.05cm}\\ %chi2=313.47 (31) I:~$-0.05$ & 0.40 & 0.99 & 13.6 & \dots & 12.5 \vspace{0.25cm}\\ %chi2=349.562 (31) % II:~$+0.10$ & 10.1 & 0.17 & \dots & 56.6 & 4.54 \vspace{0.05cm}\\ %chi2=127.032 (31) II:~$+0.05$ & 9.95 & 0.20 & \dots & 64.8 & 4.27 \vspace{0.05cm}\\ %chi2=119.476 (31) {\it II:~}${\it +0.00}$ &{\it 9.76}&{\it 0.23}&{\it \dots}&{\it 73.1} &{\it 4.73} \vspace{0.05cm}\\ %chi2=132.499 (31) II:~$-0.05$ & 9.56 & 0.27 & \dots & 81.5 & 5.79 \vspace{0.25cm}\\ %chi2=162.128 (31) % III:~$+0.10$ & 0.31 & 0.85 & 19.1 & 30.0 & 1.32 \vspace{0.05cm}\\ %chi2=35.5199 (31) III:~$+0.05$ & 0.42 & 0.83 & 19.0 & 34.8 & 1.16 \vspace{0.05cm}\\ %chi2=31.3361 (31) {\it III:~}${\it +0.00}$ &{\it 0.48}&{\it 0.86}&{\it 18.8} &{\it 38.0} &{\it 1.47} \vspace{0.05cm}\\ %chi2=39.7023 (31) III:~$-0.05$ & 0.50 & 0.90 & 18.7 & 40.0 & 2.18 \vspace{0.10cm}\\ %chi2=58.8498 (31) % N.B.: 161 steps between 0.05 and 5000~GeV/n used \hline \end{tabular} \tablefoot{Models 0, I, II, and III for $L=4$~kpc, where HEAO-3 data are biased using the formula $(E_{\rm k/n}/E_{\rm c})^{x}$ for $E_{\rm k/n}>E_{\rm c}$, with $E_{\rm c} = 2.9$~GeV/n and $x=+0.1,~+0.05,~0.,~-0.05$.} \end{table}