  A classical model of the hydrogen atom in a static electric field is studied,
basing upon the work [ Hooker A. et al, {\it Phys. Rev. A}, 55 (1997) 4609 ].
In that work the electrons are supposed to move along Kepler orbits around the
nucleus, while interacting with the external field. That classical model
reproduces very well the true energy shift of the linear Stark effect. The
agreement with the second order effect is poor. It is shown here that the
results for the quadratic Stark effect may be considerably improved if the
electrons are still allowed to move along classical trajectories, but whose
initial conditions are statistically sampled from a distribution resembling the
quantum mechanical one.

Atomic Physics;Classical Physics