  We consider the possibility of generalizing the Newtonian law of gravity and
the transition to a general relativistic model for weak fields with the
inclusion of a repulsive term identified as a cosmological constant. The
analysis includes that of the test particle's motion in a modified
gravitational field of the Hilbert metric and then the problem of the reverse
transition from the post-Galilean case to the construction of a modified exact
point mass metric which includes the $\Lambda$-term.
