\begin{table}%t1 \caption{\label{table:initorb}Parameters of the model systems considered.} %\centerline { \begin{tabular}{ r | c c c c c } \hline \hline Planet & $m$ (${M}_{\rm J}$) & $a$ (AU) & $P$ (days) &$e$ & $ \zeta$ \\ \hline\\[-3.2mm] % M_\odot = 0 GJ~876$^1$ c & 0.790 & 0.131 &30.46& 0.263 & $10\degree $ \\ %& $284\degree$\\ %P=0.523902 b & 2.530 & 0.208 &60.83& 0.031 & \\% & f=2.88827 %P=1.05136 \hline \\[-3.2mm] % M_\odot = 0.80 GJ~876 LM$^2$ c & 0.13 & 0.131 &30.46& 0.263 & $10\degree $ \\ %& $284\degree$\\ %P=0.523902 b & 0.42 & 0.208 &60.83& 0.031 & \\% & f=2.88827 %P=1.05136 \hline\\[-3.2mm] % M_\odot = 0.80 GJ~876 SE$^3$ c & 0.013 & 0.131 &30.46& 0.263 & $10\degree $ \\ %& $284\degree$\\ %P=0.523902 b & 0.042 & 0.208 &60.83& 0.031 & \\% & f=2.88827 %P=1.05136 \hline\\[-3.2mm] % M_\odot = 0.80 GJ~876 E$^4$ c & 0.0013 & 0.0131 &30.46& 0.263 & $10\degree $ \\ %& $284\degree$\\ %P=0.523902 b & 0.0042 & 0.208 &60.83& 0.031 & \\% & f=2.88827 %P=1.05136 \hline\\[-3.2mm] % M_\odot = 0.80 GJ~876 LM HE$^5$ c & 0.13 & 0.131 &30.46& 0.41 & $10\degree $ \\ %& $284\degree$\\ %P=0.523902 b & 0.42 & 0.208 &60.83& 0.09 & \\% & f=2.88827 %P=1.05136 \hline\\[-3.2mm] % M_\odot = 0.80 GJ~876 SE HE$^6$ c & 0.013 & 0.131 &30.46& 0.41 & $10\degree $ \\ %& $284\degree$\\ %P=0.523902 b & 0.042 & 0.208 &60.83& 0.09 & \\% & f=2.88827 %P=1.05136 \hline\\[-3.2mm] % M_\odot = 0.80 HD~128311$^7$ b & 1.56 & 1.109 & 476.8 & 0.38 & $58 \degree$ \\ c & 3.08 & 1.735 & 933.1 & 0.21 & \\ \hline \end{tabular}} \par \medskip $^1$ {Orbital elements of the system \object{GJ~876} \citep[][orbital inclination $i=50\degree$]{Rivera2005}.}\\ $^2$ {Planet masses scaled down by a factor of 6. Equivalent to a Jovian mass planet around a solar mass star.}\\ $^3$ {Planet masses scaled down by a factor of 60. Equivalent to a super-Earth around a solar mass star.} \\ $^4$ {Planet masses scaled down by a factor of 600. Equivalent to an Earth mass planet around a solar mass star.}\\ $^5$ {Planet masses scaled down by a factor of 6 (Jovian mass planet) and higher eccentricities than in the observed system.}\\ $^6$ {Planet masses scaled down by a factor of 60 (super-Earth) and higher eccentricities than in the observed system.}\\ $^7$ {Orbital elements of the system \object{HD~128311} \citep{Vogt2005}.} \end{table}