\begin{table}%t5 \caption {\label{seculartable}Asteroids ranked according to their secular effects on the Mars orbit. } %\centerline { \begin{tabular}{r l c c r l c } \hline\hline\\[-0.2cm] \multicolumn{2}{l}{ \hspace{0.4cm}Asteroid} & $\epsilon_{1}$ & \hspace{0.2cm}& \multicolumn{2}{l}{ \hspace{0.4cm}Asteroid} & $\epsilon_{1}$ \\ ${\rm N^{\rm o}}$ & name & & \hspace{0.2cm} & ${\rm N^{\rm o}}$ & name & \\[-0.25cm] \\ \hline\\[-0.25cm] 1 & \hbox{Ceres } & 1.000 & \hspace{0.2cm} & 65 & \hbox{Cybele$^{\ddag\ddag}$ } & 0.009\\ 4 & \hbox{Vesta } & 0.564 & \hspace{0.2cm} & 31 & \hbox{Euphrosyne } & 0.008\\ 10 & \hbox{Hygiea } & 0.061 & \hspace{0.2cm} & 51 & \hbox{Nemausa } & 0.008\\ 2 & \hbox{Pallas } & 0.057 & \hspace{0.2cm} & 423 & \hbox{Diotima } & 0.008\\ 15 & \hbox{Eunomia } & 0.037 & \hspace{0.2cm} & 18 & \hbox{Melpomene } & 0.008\\ 3 & \hbox{Juno } & 0.034 & \hspace{0.2cm} & 24 & \hbox{Themis } & 0.008\\ 7 & \hbox{Iris } & 0.031 & \hspace{0.2cm} & 41 & \hbox{Daphne } & 0.008\\ 511 & \hbox{Davida } & 0.026 & \hspace{0.2cm} & 14 & \hbox{Irene } & 0.007\\ 19 & \hbox{Fortuna } & 0.025 & \hspace{0.2cm} & 94 & \hbox{Aurora } & 0.007\\ 704 & \hbox{Interamnia } & 0.021 & \hspace{0.2cm} & 375 & \hbox{Ursula$^{\ddag\ddag}$ } & 0.007\\ 16 & \hbox{Psyche } & 0.020 & \hspace{0.2cm} & 409 & \hbox{Aspasia } & 0.007\\ 6 & \hbox{Hebe } & 0.019 & \hspace{0.2cm} & 45 & \hbox{Eugenia$^{\ddag\ddag}$ } & 0.007\\ 29 & \hbox{Amphitrite } & 0.018 & \hspace{0.2cm} & 22 & \hbox{Kalliope } & 0.006\\ 324 & \hbox{Bamberga } & 0.015 & \hspace{0.2cm} & 54 & \hbox{Alexandra } & 0.006\\ 532 & \hbox{Herculina } & 0.013 & \hspace{0.2cm} & 59 & \hbox{Elpis$^{\ddag\ddag}$ } & 0.006\\ 13 & \hbox{Egeria } & 0.013 & \hspace{0.2cm} & 87 & \hbox{Sylvia$^{\ddag\ddag}$ } & 0.006\\ 52 & \hbox{Europa } & 0.012 & \hspace{0.2cm} & 139 & \hbox{Juewa } & 0.006\\ 88 & \hbox{Thisbe } & 0.011 & \hspace{0.2cm} & 194 & \hbox{Prokne } & 0.006\\ 9 & \hbox{Metis } & 0.011 & \hspace{0.2cm} & 145 & \hbox{Adeona } & 0.006\\ 11 & \hbox{Parthenope } & 0.011 & \hspace{0.2cm} & 144 & \hbox{Vibilia } & 0.005\\ 8 & \hbox{Flora } & 0.010 & \hspace{0.2cm} & 85 & \hbox{Io$^{\ddag\ddag}$ } & 0.005\\ 128 & \hbox{Nemesis$^{\ddag\ddag}$ } & 0.010 & \hspace{0.2cm} & 444 & \hbox{Gyptis$^{\ddag\ddag}$ } & 0.005\\ 20 & \hbox{Massalia } & 0.010 & \hspace{0.2cm} & 89 & \hbox{Julia$^{\ddag\ddag}$ } & 0.005\\ 48 & \hbox{Doris } & 0.010 & \hspace{0.2cm} & 21 & \hbox{Lutetia$^{\ddag\ddag}$ } & 0.005\\ 451 & \hbox{Patientia } & 0.009 & \hspace{0.2cm} & 111 & \hbox{Ate } & 0.005\\ \hline \end{tabular}} \smallskip The values of~$\epsilon_{1}$ are normalized to that found for (1) Ceres. The asteroids that are not in Table~\ref{stat10} are marked by $^{\ddag\ddag}$. \vspace*{3mm} \end{table}