\begin{table} 
\caption{Frequency decomposition of the eccentricity of the Earth on the 
time interval~$[-15,+5]$~Myr. For all computations, the data of Table~\ref{tab.zecc}
should be preferred. Here,~$ e = e_0 +\sum_{k=1}^{20} b'_k~\cos(\mu'_k~ t + \vp_k)$
with~$e_0=0.0275579$. For each term, in the first column is the corresponding combination of 
frequencies where ~$g_i$ are the fundamental frequencies (Table~\ref{tab.freqsec}), and~$\mu_j$ the 
frequencies of the terms in~$z$ from Table~\ref{tab.zecc}. }
%\centering

\begin{tabular}{rcrrrr}
\hline\hline
  ~$k$ &    &  ~$\mu'_k$ ($''$/yr) & ~$P$ (yr) & ~$b'_k$ &~$\vp_k'$ (degree) \\ 
\hline
  1  &  ~$g_2-g_5$    &    3.199279    &      405~091   &     0.010739   &~$  170.739$\\
  2  &  ~$g_4-g_5$    &   13.651920    &       94~932   &     0.008147   &~$  109.891$\\
  3  &  ~$g_4-g_2$    &   10.456224    &      123~945   &     0.006222   &~$  -60.044$\\
  4  &  ~$g_3-g_5$    &   13.109803    &       98~857   &     0.005287   &~$  -86.140$\\
  5  &  ~$g_3-g_2$    &    9.909679    &      130~781   &     0.004492   &~$  100.224$\\
  6  &  ~$\mu_7-\mu_6$  &    0.546076    &     2~373~298   &     0.002967   &~$ -168.784$\\
  7  &  ~$g_1-g_5$    &    1.325696    &      977~600   &     0.002818   &~$   57.718$\\
  8  &  ~$g_4-g_1$    &   12.325286    &      105~150   &     0.002050   &~$   49.546$\\
  9  &  ~$g_2-g_5 +\mu_6-\mu_7$   &    2.665308    &      486~248   &     0.001971   &~$ 148.774$\\
 10  &  ~$g_2-g_1$              &    1.883616    &      688~038   &     0.001797   &~$  137.155$\\
 11  &  ~$\mu_6-g_5$&   12.856520    &      100~805   &     0.002074   &~$   24.487$\\
 12  &  ~$g_2+g_4-2g_5$  &   16.851127    &       76~909   &     0.001525   &~$  102.380$\\
 13  &  ~$\mu_6-g_2$&    9.650041    &      134~300   &     0.001491   &~$ -167.676$\\
 14  & ~$2g_3-g_4-g_5$&   12.563233    &      103~158   &     0.001316   &~$   69.234$\\
 15  &  ~$2g_4-g_2-g_3$  &   10.975914    &      118~077   &     0.001309   &~$  -51.163$\\
 16  &  ~$g_1-g_3$  &   11.788709    &      109~936   &     0.001300   &~$ -146.081$\\
 17  & ~$\mu_7-g_2$&   10.194846    &      127~123   &     0.001306   &~$ -139.827$\\
 18  &  ~$g_3+g_4-g_2-g_5$  &   23.562689    &       55~002   &     0.001261   &~$   30.098$\\
 19  & ~$\mu_7-g_5$&   13.398519    &       96~727   &     0.001344   &~$   27.612$\\
 20  &  ~$g_2+g_4-g_3-g_5$ &  3.742221      &      346~318   &     0.001058   &~$  178.662$\\
\hline
\end{tabular}
\llabel{tab.ecc}
\end{table}