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