Properties of inertial modes of Jupiter are investigated for an n=1 polytro
pic description of the planet interior. We use the anelastic approximation
to overcome the usual handicap of a severe spherical harmonics truncation.
A powerful iterative solver then allows us to compute the frequencies of th
e most promising low-order modes using as many spherical harmonics as neces
sary. The induced O1% errors of our model are now within observational limi
ts. A plausible seismological model of Jupiter might thus be at hand provid
ed the use of a more realistic description of the planet interior.