Estimation of target location and sensor misalignment angles

An apparatus comprising:

• a navigation system associated with an aircraft;
• a sensor mounted to an aircraft;
• and
• one or more processors, wherein the one or more processors are configured to:
• obtain, from the sensor mounted on the aircraft, first line of sight data indicative of a first line of sight from the sensor to a stationary target with an unknown location on the Earth by navigating the aircraft relative to the target;
• obtain, from the navigation system, first orientation data indicative of an orientation of the aircraft relative to the Earth when obtaining the first line of sight data;
• obtain, from the sensor mounted on the aircraft, second line of sight data indicative of a second line of sight from the sensor to the target by navigating the aircraft relative to the target;
• obtain, from the navigation system, second orientation data indicative of an orientation of the aircraft relative to the Earth when obtaining the second line of sight data;
• generate an expression coupling a first variable indicative of misalignment of an orientation of the sensor relative to the orientation of the aircraft and a second variable indicative of a location of the target relative to the Earth;
• simultaneously determine a value of the first variable and a value of the second variable using the first line of sight data, the second line of sight data, the first orientation data, the second orientation data and the expression coupling the first variable and the second variable by finding the value of the first variable and the value of the second variable that satisfy the expression by placing an upper limit on values that may be determined for the value of the first variable and numerically solving using an Iterated-Least Squares method;
• compensate for the misalignment of the orientation of the sensor and the orientation of the aircraft using the value of the first variable to correct sensor data for the misalignment of the orientation of the sensor relative to the orientation of the aircraft by correcting line of sight data to a subsequent target acquired by the sensor;
• and
• determine the unknown location of the target relative to the Earth using the value of the second variable.

One or more tangible, non-transitory computer readable mediums encoded with instructions, wherein the instructions, when executed by one or more processors, are operable to:

• obtain, from a sensor mounted on an aircraft, first line of sight data indicative of a first line of sight from the sensor to a stationary target with an unknown location on the Earth by navigating the aircraft relative to the target;
• obtain, from a navigation system associated with the aircraft, first orientation data indicative of an orientation of the aircraft relative to the Earth when obtaining the first line of sight data;
• obtain, from the sensor mounted on the aircraft, second line of sight data indicative of a second line of sight from the sensor to the target by navigating the aircraft relative to the target;
• obtain, from the navigation system, second orientation data indicative of an orientation of the aircraft relative to the Earth when obtaining the second line of sight data;
• generate an expression coupling a first variable indicative of misalignment of an orientation of the sensor relative to the orientation of the aircraft and a second variable indicative of a location of the target relative to the Earth;
• simultaneously determine a value of the first variable and a value of the second variable using the first line of sight data, the second line of sight data, the first orientation data, the second orientation data and the expression coupling the first variable and the second variable by finding the value of the first variable and the value of the second variable that satisfy the expression by placing an upper limit on values that may be determined for the value of the first variable and numerically solving using an Iterated-Least Squares method;
• compensate for the misalignment of the orientation of the sensor and the orientation of the aircraft using the value of the first variable to correct sensor data for the misalignment of the orientation of the sensor relative to the orientation of the aircraft by correcting line of sight data to a subsequent target acquired by the sensor;
• and
• determine the unknown location of the target relative to the Earth using the value of the second variable.