The cheesiest resolution to a conflict in a play is 'Deus Ex Machina', which is a magic solution from the gods.
Thus, mittie has gone for that. The past ice ages of the earth have the exact timing of plate tectonic cycles, yet we can't use real physics, because that would set a bad precedent. So we conjure up a great masking of sunlight.
Perhaps the Sun can go whammy-whammy, or a great volcano produces blackout curtains. It's all wonderful, and new students will flock to a school that invokes magic.
No boring physics for us! Kiss on the jammed beaches!