Published online by Cambridge University Press: 25 May 2016
We have recently built a coherent theory of the motion of the satellites Mimas, Enceladus, Tethys, Dione, Rhea, Titan and Iapetus. The final form of the “Théorie Analytique des Satellites de Saturne” (TASS1.6) is presented in Vienne & Duriez (1995). The internal precision of TASS is a few kilometers over three years and some tens kilometers over one century. The root-mean-square residuals of the adjustment of TASS over one century of Earth based observations reach 0″.12 for the best data sets, until 0″.015 for the few mutual phenomenas of 1981.