Pi appears in the Friedmann equations, particularly in terms related to the universe’s energy density and curvature. For example, the density parameter involves Pi in calculations of how matter and energy influence the universe’s shape and expansion rate.
Keppler 3 Laws also use Pi.
It also connects to coplanar elliptical paths via the equations of orbital motion, which govern how collisions and gravitational interactions settle into stable systems.
But can it predict any piece of debris orbiting off-axis in our constellation every millennia (?) heading to intersect in earth's path? With a faint solar reflection in the far out regions of space, is that the justification for a bizarre plan to inhabit Mars when we cannot even inhabit the Sahara or the Arctic.