A method for maximizing traction in an aircraft drive wheel powered by non-engine drive means controllable to move the aircraft on the ground without reliance on the aircraft's brakes and dependence on friction defined by a mu-slip curve. The non-engine drive means is operated to control wheel speed and maintain the powered drive wheel in a maximized optimal traction condition when driving torques are applied to the drive wheel. Traction can be automatically maximized and maintained within an optimal range defined by a relationship between slippage and braking for maximum efficiency of aircraft ground travel under a wide variety of surface, weather, temperature, tire, and other conditions.