Abstract: The algorithmic methods of estimation current and forecasting of the future movement of the aircraft are offered. The methods are based on the energy approach to flight control of air vehicles. The energy balance equation is generalized on runway stages. Equation describes the process of changing the aircraft total energy in whole trajectory, including the a head segment. The length of this segment is calculated from the conditions of achieving the required final energy state. For the takeoff stage the forecast algorithm calculates the position of the aircraft on runway, from which it is possible to speed up till the speed of steady level flight and to reach the altitude for overcoming the high-altitude obstacles. The length of braking distance is determined for the landing stage. The correction of the forecasting algorithms is proposed for the purpose of an increasing in likelihood of forecast. The results of the simulation of many takeoffs and landings of passenger aircraft with different weights with the obstacles presence and with the engine failure are given.