  By considering a deformation of the Schwarzschild metric in the presence of a
minimal measurable length which still respects the equivalence principle, we
study corrections to the standard general relativistic predictions for some
astrophysical phenomena such as stability of circular orbits of black hole
accretion disks, redshift of black hole accretion disks, gravitational tidal
forces and the geodetic drift rate. We use the \emph{Gravity Probe B} data to
see robustness of our results. Our analysis shows also that the relevant
deformation parameter $\varepsilon$ which has a geometric origin, plays the
same role as the charge to mass ratio, $\frac{e}{m}$ in the
Reissner-Nordstr\"{o}m metric.
