Disclosed is a method of and an arrangement for real time estimation of the location of the center of gravity of an aircraft. The center of gravity estimate is utilized in an aircraft flight control system for effecting flight control laws in which the center of gravity is a parameter that at least in part establishes open loop compensation or feedback gain. The disclosed method and arrangement are specifically adapted for establishing stabilizer mistrim during a landing procedure in which an aircraft flight control system is automatically controlling the aircraft. The method generally comprises the steps of generating a signal that represents the product of the aircraft stabilizer position and a multiplicative factor, A₁ and adding to that product an additive factor, A₂. The multiplicative factor, A₁, and the additive factor, A₂, both are determined on the basis of the angle of attack of the aircraft and the aircraft flap setting.