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5 Analysis of the observations

We have calculated the root-mean-square residuals of the observations in the form of inter-satellite $\Delta\alpha\,\cos\delta$ and $\Delta\delta$measures. In Table 5 we present the statistics for Tethys, Dione, Rhea and Titan. The rejection level was $0\hbox{$.\!\!^{\prime\prime}$}5$. For comparison, we give the same statistics for the observations published in Harper et al. (1997). The orbital models are those of Harper & Taylor (1993).


  
Table 5: Statistics of observed-minus-computed residuals for observations of Tethys, Dione, Rhea and Titan. $N_\mathrm{U}$ is the number of observations included in the solution. $N_\mathrm{T}$ is the total number of observations in the dataset. $\mu$ is the mean residual and $\sigma$ is the standard deviation about the mean

\begin{tabular}
{lrrrrcrrrr}
 \hline
 \noalign{\smallskip}
 & \multicolumn{4}{c}...
 ... && 333 & 333 & $-0.003 \pm 0.005$\space & $0.09$\space \\ \hline
 \end{tabular}


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