We construct an idealized three-dimensional model of Saturn's magnetos
phere. The total magnetospheric field is a sum of three contributions;
the first two contributions are internal, in the form of a planetary
dipole and an equatorial ring current deduced from Voyager observation
s. We concentrate on the third contribution, resulting from the intera
ction of the solar wind with the Kronian magnetosphere. From the balan
ce between the solar wind ram pressure and the magnetospheric pressure
, we provide simultaneously models of the magnetopause and of the magn
etic field due to the surface currents on the magnetopause. The result
ing magnetopause has characteristics intermediate between those of ana
logous Earth and Jupiter magnetospheric models. A natural day-night as
ymmetry arises in the total magnetospheric field. Its intensity is tes
ted with Voyager 1 data: the third contribution improves the agreement
between data and models in the outer magnetosphere. This work extends
the range of, physically reliable model of Saturn's magnetosphere in
latitudinal and longitudinal directions from regions where there have
been observations to regions where there have not. We discuss several
possible applications, particularly some relevant to the future Cassin
i mission.