We recall the main features of TASS, a new theory of high precision (a
bout ten kilometers), for the satellites Mimas, Enceladus, Tethys, Dio
ne, Rhea, Titan and Japetus. It is analytical with respect to the dyna
mical parameters of the Saturnian system, allowing to adjust them by f
itting TASS to observations. In this paper TASS is compared to the Ear
th based observations of these satellites found in the catalogue compi
led by Strugnell and Taylor (1990). These observations have been put i
n a form usable by the theory. We have built the corresponding equatio
ns of condition (approximate to 50,000). A least square procedure has
been done with a discussion about the estimation of the errors on the
dynamical parameters which we have determined. The determination of th
e physical parameters of the dynamical Saturnian system is in good agr
eement with other determinations when they exist. Furthermore, the pre
cisions of the oblateness coefficients J(2) and J(4) reach those based
on Pioneer and Voyager spacecraft. The position of the equatorial pla
ne is also found in good agreement with other determinations. Besides,
the root-mean-square residuals between theory and observations are sl
ightly improved. So, we can consider now that the reduction of the fut
ure observations of high precision (mutual events in 1995-1996 and spa
cecraft observations) should be done with this new tool to improve aga
in our knowledge of the dynamical parameters of the system. TASS is no
w ready to give accurate ephemerides of the major saturnian satellites
.