  In this paper we very preliminarily investigate the possibility of measuring
the post-Newtonian general relativistic gravitoelectric and gravitomagnetic
components of the acceleration of gravity on the Earth, in continuous regime,
with two absolute measurements at the equator and the south pole with
superconducting gravimeters. The magnitudes of such relativistic effects are
10^-10 m s^-2 and 10^-11 m s^-2, respectively. Unfortunately, the present-day
uncertainties in the Earth's geodetic parameters which enter the classical
Newtonian terms induce systematic errors 1-2 orders of magnitude larger than
the relativistic ones. Moreover, a \sim 1 ngal sensitivity can be reached by
the currently available superconducting gravimeters, but only for relative
measurements.
