Abstract: A system and a method for planning and flying a cost-optimal cruise vertical profile in combination with a required time-of-arrival (RTA) constraint. The method may be implemented as a single function in a flight management system (FMS). The FMS plans the aircraft trajectory with cruise vertical and speed profiles that are optimized to minimize flight cost (e.g., fuel burn) while meeting the time constraint. When appropriate under the circumstances, this integrated function is also able to degrade the cruise vertical profile in order to open the window of achievable RTAs and increase the RTA success rate. The method also monitors progress of the flight along the planned trajectory as actual flight conditions may differ from the forecasted flight conditions, and readapts the cruise speed profile when the estimated arrival time is deviating from the RTA constraint by more than a specified threshold.

Abstract: Electronic devices and methods for optimizing the vertical profile to be flown by an aircraft during the cruise phase of a flight. Based on continuously updated information about the aircraft's weight and the atmospheric wind and temperature, the method provides an optimal sequence of climbs and/or descents along the flight path during the cruise phase. Following the step climb/descent profile proposed by the method results in the most cost-optimal flight (if a cost index was selected) or in the most fuel-efficient flight (if the long-range cruise mode was selected). The method may be implemented in the flight management computer or any other electronic data processing device that can access the required information to perform the calculations.

Abstract: A system and a method for planning and flying a cost-optimal cruise vertical profile in combination with a required time-of-arrival (RTA) constraint. The method may be implemented as a single function in a flight management system (FMS). The FMS plans the aircraft trajectory with cruise vertical and speed profiles that are optimized to minimize flight cost (e.g., fuel burn) while meeting the time constraint. When appropriate under the circumstances, this integrated function is also able to degrade the cruise vertical profile in order to open the window of achievable RTAs and increase the RTA success rate. The method also monitors progress of the flight along the planned trajectory as actual flight conditions may differ from the forecasted flight conditions, and readapts the cruise speed profile when the estimated arrival time is deviating from the RTA constraint by more than a specified threshold.

Abstract: Electronic devices and methods for optimizing the vertical profile to be flown by an aircraft during the cruise phase of a flight. Based on continuously updated information about the aircraft's weight and the atmospheric wind and temperature, the method provides an optimal sequence of climbs and/or descents along the flight path during the cruise phase. Following the step climb/descent profile proposed by the method results in the most cost-optimal flight (if a cost index was selected) or in the most fuel-efficient flight (if the long-range cruise mode was selected). The method may be implemented in the flight management computer or any other electronic data processing device that can access the required information to perform the calculations.

Abstract: Methods and systems for guiding an aircraft are disclosed herein. An example method includes determining, via a processor, a difference between an estimated time of arrival and a required time of arrival of an aircraft. The example method also includes determining if the difference exceeds a threshold time. The example method further includes determining a deviation between a predicted four-dimensional flight trajectory of the aircraft and a measured four-dimensional flight trajectory of the aircraft during flight if the difference does not exceed the threshold time. The example method also includes generating a speed command to reduce the deviation and updating a flight plan of the aircraft based on the speed command.

Abstract: A method of formulating a specification for temporal and vertical required navigation performance is described. The method assesses various flight management guidance systems methods and allows a specification to be set for an airport. The specification may be used to increase aircraft traffic into the airport. The specification sets limits on deviations in time and altitude, for example, on approach into arrivals at the airport. The method comprises: calculating temporal and vertical deviations from a reference trajectory for one or more flight management guidance methods for one or more aircraft types; and comparing the temporal and vertical deviations with operational requirements of the airport. The deviations from a reference trajectory may result from uncertainties affecting trajectory prediction, such as wind and temperature prediction accuracy.

Abstract: Methods and systems for guiding an aircraft are disclosed herein. An example method includes determining, via a processor, a difference between an estimated time of arrival and a required time of arrival of an aircraft. The example method also includes determining if the difference exceeds a threshold time. The example method further includes determining a deviation between a predicted four-dimensional flight trajectory of the aircraft and a measured four-dimensional flight trajectory of the aircraft during flight if the difference does not exceed the threshold time. The example method also includes generating a speed command to reduce the deviation and updating a flight plan of the aircraft based on the speed command.

Abstract: A method of formulating a specification for temporal and vertical required navigation performance is disclosed. The method assesses various flight management guidance systems methods and allows a specification to be set for an airport. The specification may be used to increase aircraft traffic into the airport. The specification sets limits on deviations in time and altitude, for example, on approach into arrivals at the airport. The method comprises: calculating temporal and vertical deviations from a reference trajectory for one or more flight management guidance methods for one or more aircraft types; and comparing the temporal and vertical deviations with operational requirements of the airport. The deviations from a reference trajectory may result from uncertainties affecting trajectory prediction, such as wind and temperature prediction accuracy.