Simplified Takeoff Model for a Homebuilt Airplane

A Matlab based simulation was previously created to model the takeoff performance of an Experimental Amateur Built Bearhawk. Since a device capable of running Matlab was not available in the cockpit and desiring a simpler model that could be realized in a spreadsheet for use on a smartphone or tablet instead of using a paper chart, a second model was created based on the partial differential methods of Ken Lush. These approximations were adjusted to provide results similar to the Matlab simulation. The residual errors between the Lush approximation and the Matlab simulation were analyzed using a Monte Carlo approach and found to be sufficiently small for operational use.