We calculate the possible interaction between a superconductor and the static Earth's gravitational fields, making use of the gravito-Maxwell formalism combined with the time-dependent Ginzburg-Landau theory. We try to estimate which are the most favorable conditions to enhance the effect, optimizing the superconductor parameters characterizing the chosen sample. We also give a qualitative comparison of the behavior of high-Tc and classical low-Tc superconductors with respect to the gravity/superfluid interplay.
Keywords: Ginzburg–Landau equations; gravitation; gravito-Maxwell formalism; gravity-superfluid interplay; superconductivity.