Geostrophic wind u_g = (1/(f rho)) k-hat wedge grad(p); exterior-algebra antisymmetry

Geostrophic-wind framework via exterior-algebra wedge product (Holton Intro Dyn Meteor 1972). Setup: steady horizontal inviscid flow at mid-latitudes has dominant balance f k-hat x u = -(1/rho) grad(p), yielding u_g = (1/(f rho)) k-hat…