Abstract: Methods, apparatus and systems for generating verifiable conflict-free flight plans for aircraft are disclosed. In an embodiment, a server computer receives a set of air traffic flight plans for an airspace that includes elements, and receives at least two of aerodynamic constraint data, business constraint data and operational constraint data for an aircraft. The server computer then generates using a first constraint satisfaction solver, a plurality of candidate flight plans for the aircraft based on the at least two of the aerodynamic constraint data, the business constraint data and the operational constraint data. The server computer next checks, utilizing a second constraint solver, for conflicts with the elements of the air traffic flight plans for the airspace, and provides at least one verifiable conflict-free flight plan for the aircraft from the plurality of candidate flight plans when a candidate flight plan is conflict-free from all of the elements of the set of air traffic flight plans.

Abstract: A method for determining uncertainty in a predicted flight path for an aerial vehicle can include determining, by one or more computing devices, uncertainty in a performance model of the aerial vehicle. The method can further include determining, by one or more computing devices, uncertainty in a weather model indicative of weather conditions along the predicted flight path. In addition, the method can include determining, by the one or more computing devices, uncertainty in the predicted flight path based on the uncertainty in the performance model and the uncertainty in the weather model. The method can further include generating, by one or more computing devices, a notification indicating the uncertainty in the predicted flight path.

Abstract: Systems and methods for providing trajectory amendments are provided. In one embodiment, a method can include receiving, by one or more first computing devices, a plurality of parameters associated with an aircraft. The method can further include determining, by the one or more first computing devices, a trajectory amendment associated with the aircraft based at least in part on the plurality of parameters. The method can include determining, by the one or more first computing devices, a projected operations value associated with the trajectory amendment. The method can further include providing, by the one or more first computing devices to one or more second computing devices of an operator associated with the aircraft, a set of data identifying the trajectory amendment and the projected operations value associated with the trajectory amendment.

Abstract: Systems and methods of refining trajectories for aircraft include a trajectory prediction module for predicting a set of four-dimensional trajectories for aircraft; and a constraint selector module for determining a set of constraints based on the set of four-dimensional trajectories. The trajectory can be refined by mapping values for a goal associated with the set of four-dimensional trajectories based on the determined set of constraints and estimating additional values for the goal based on the mapped values.

Abstract: Systems and methods for providing trajectory amendments are provided. In one embodiment, a method can include identifying an arrival time slot associated with a landing area. The method can further include providing to one or more second computing devices of a plurality of operators, a first set of data identifying the arrival time slot. The method can include receiving a second set of data indicating that a first operator of the plurality of operators has selected the arrival time slot. The method can further include determining one or more trajectory amendments to allow a first aircraft associated with the first operator to meet the arrival time slot associated with the landing area. The method can include sending one or more trajectory amendments.

Abstract: A vehicle guidance system is provided. The vehicle guidance system includes a vehicle trajectory management system, a position reference system, and a vehicle. The vehicle trajectory management system is configured to generate a vehicle travel path including a plurality of waypoints including a departure location, a destination location, and at least one vehicle re-energization location positioned therebetween. The position reference system includes a transmitter configured to emit a transmission signal including location information associated with a coordinate system relative to the transmitter. The vehicle includes a receiver configured to receive the transmission signal, an energy storage device including a first amount of energy for propelling the vehicle along a vehicle travel path, and a control device including a control system in communication with the position reference system and the vehicle trajectory management system.

Abstract: A method for determining uncertainty in a predicted flight path for an aerial vehicle can include determining, by one or more computing devices, uncertainty in a performance model of the aerial vehicle. The method can further include determining, by one or more computing devices, uncertainty in a weather model indicative of weather conditions along the predicted flight path. In addition, the method can include determining, by the one or more computing devices, uncertainty in the predicted flight path based on the uncertainty in the performance model and the uncertainty in the weather model. The method can further include generating, by one or more computing devices, a notification indicating the uncertainty in the predicted flight path.

Abstract: A method, medium, and system to receive flight parameter data relating to a plurality of flights, the flight parameter data including indications of aircraft performance based navigation (PBN) capabilities, flight plan information, an aircraft configuration, and an airport configuration for the plurality of flights; assign probabilistic properties to the flight parameter data; receive accurate and current position and predicted flight plan information for a plurality of aircraft corresponding to the flight parameter data; determine a probabilistic trajectory for two of the plurality of aircraft based on a combination of the probabilistic properties of the flight parameter data and the position and predicted flight plan information, the probabilistic trajectory being specific to the two aircraft and including a target spacing specification to maintain a predetermined spacing between the two aircraft at a target location with a specified probability; and generate a record of the probabilistic trajectory for the

Abstract: Systems and methods for providing trajectory amendments are provided. In one embodiment, a computing system can identify a plurality of aircraft operators. The system can provide for display in a user interface, to one or more computing devices of each of the plurality of aircraft operators, a first set of data identifying an arrival time slot associated with a landing area. The system can receive one or more second sets of data indicating that one or more of the aircraft operators has selected the arrival time slot. The system can select a first aircraft operator of the one or more aircraft operators for the arrival time slot. The system can provide, to a computing device of the first aircraft operator, an output indicating that the first operator has been selected for the arrival time slot.

Abstract: Systems and methods for enhancing aircraft performance are provided. In one example, a method can include accessing an initial model that defines operating cost of an aircraft at a series of model operating states. The method also can include identifying one or more sample operating states for analyzing aircraft cost during flight. The method also can include receiving one or more real-time flight performance parameters indicative of aircraft operating cost while the aircraft is operating at the identified sample operating states. The method also can include generating an updated model that defines operating cost of the aircraft using the initial model as well as data defined by the real-time flight performance parameters. The method also can include determining an enhanced operating state based at least in part on the updated model and outputting the enhanced operating state for control of the aircraft.

Abstract: A method, medium, and system to receive flight parameter data relating to a plurality of flights, the flight parameter data including indications of aircraft performance based navigation (PBN) capabilities, flight plan information, an aircraft configuration, and an airport configuration for the plurality of flights; assign probabilistic properties to the flight parameter data; receive accurate and current position and predicted flight plan information for a plurality of aircraft corresponding to the flight parameter data; determine a probabilistic trajectory for two of the plurality of aircraft based on a combination of the probabilistic properties of the flight parameter data and the position and predicted flight plan information, the probabilistic trajectory being specific to the two aircraft and including a target spacing specification to maintain a predetermined spacing between the two aircraft at a target location with a specified probability; and generate a record of the probabilistic trajectory for the

Abstract: Systems and methods for providing trajectory amendments are provided. In one embodiment, a computing system can identify a plurality of aircraft operators. The system can provide for display in a user interface, to one or more computing devices of each of the plurality of aircraft operators, a first set of data identifying an arrival time slot associated with a landing area. The system can receive one or more second sets of data indicating that one or more of the aircraft operators has selected the arrival time slot. The system can select a first aircraft operator of the one or more aircraft operators for the arrival time slot. The system can provide, to a computing device of the first aircraft operator, an output indicating that the first operator has been selected for the arrival time slot.

Abstract: Systems and methods for providing trajectory amendments are provided. In one embodiment, a method can include receiving, by one or more first computing devices, a plurality of parameters associated with an aircraft. The method can further include determining, by the one or more first computing devices, a trajectory amendment associated with the aircraft based at least in part on the plurality of parameters. The method can include determining, by the one or more first computing devices, a projected operations value associated with the trajectory amendment. The method can further include providing, by the one or more first computing devices to one or more second computing devices of an operator associated with the aircraft, a set of data identifying the trajectory amendment and the projected operations value associated with the trajectory amendment.

Abstract: Systems and methods for providing trajectory amendments are provided. In one embodiment, a computing system can identify a plurality of aircraft operators. The system can provide for display in a user interface, to one or more computing devices of each of the plurality of aircraft operators, a first set of data identifying an arrival time slot associated with a landing area. The system can receive one or more second sets of data indicating that one or more of the aircraft operators has selected the arrival time slot. The system can select a first aircraft operator of the one or more aircraft operators for the arrival time slot. The system can provide, to a computing device of the first aircraft operator, an output indicating that the first operator has been selected for the arrival time slot.

Abstract: Systems and methods for providing trajectory amendments are provided. In one embodiment, a method can include identifying an arrival time slot associated with a landing area. The method can further include providing to one or more second computing devices of a plurality of operators, a first set of data identifying the arrival time slot. The method can include receiving a second set of data indicating that a first operator of the plurality of operators has selected the arrival time slot. The method can further include determining one or more trajectory amendments to allow a first aircraft associated with the first operator to meet the arrival time slot associated with the landing area. The method can include sending one or more trajectory amendments.

Abstract: Systems and methods for providing trajectory amendments are provided. In one embodiment, a computing system can identify a plurality of aircraft operators. The system can provide for display in a user interface, to one or more computing devices of each of the plurality of aircraft operators, a first set of data identifying an arrival time slot associated with a landing area. The system can receive one or more second sets of data indicating that one or more of the aircraft operators has selected the arrival time slot. The system can select a first aircraft operator of the one or more aircraft operators for the arrival time slot. The system can provide, to a computing device of the first aircraft operator, an output indicating that the first operator has been selected for the arrival time slot.

Abstract: Systems and methods for enhancing aircraft performance are provided. In one example, a method can include accessing an initial model that defines operating cost of an aircraft at a series of model operating states. The method also can include identifying one or more sample operating states for analyzing aircraft cost during flight. The method also can include receiving one or more real-time flight performance parameters indicative of aircraft operating cost while the aircraft is operating at the identified sample operating states. The method also can include generating an updated model that defines operating cost of the aircraft using the initial model as well as data defined by the real-time flight performance parameters. The method also can include determining an enhanced operating state based at least in part on the updated model and outputting the enhanced operating state for control of the aircraft.

Abstract: Systems and methods of refining trajectories for aircraft include a trajectory prediction module for predicting a set of four-dimensional trajectories for aircraft; and a constraint selector module for determining a set of constraints based on the set of four-dimensional trajectories. The trajectory can be refined by mapping values for a goal associated with the set of four-dimensional trajectories based on the determined set of constraints and estimating additional values for the goal based on the mapped values.