  The gravitational microlensing method of discovering exoplanets and
multi-star systems can produce degenerate solutions, some of which require
in-depth analysis to uncover. We propose a new parameter space that can be used
to sample potential solutions more efficiently and is more robust at finding
all degenerate solutions. We identified two new parameters, k and h, that can
be sampled in place of the mass ratios and separations of the systems under
analysis to identify degenerate solutions. The parameter k is related to the
size of the central caustic, $\Delta\xi_c$, while h is related to the distance
of a point along the k contour from log(s)=0, where s is the projected
planet-host separation. In this work, we present the characteristics of these
parameters and the tests we conducted to prove their efficacy.
