Breaking Ice with Air cushion Vehicle - Find minimum pressure with Newton-Raphson method

Objective: In determining the minimum cushion pressure needed to break a given thickness of ice-using an air cushion vehicle, Muller (“Ice Breaking with an Air Cushion Vehicle”) inMathematical Modeling: Classroom Notes in Applied Mathematics, SIAM 1987) derived the equation `p^3*(1-beta^2) + (0.4*h*beta^2-sigma*h^2/(r^2)*p^2)…