Effect in range difference position estimation due to stations' position errors

This work addresses the subject of systematic errors caused by using incorrect coordinates for the sites where the stations are located in a three-dimensional aircraft position estimation system, composed of one transmitter/receiver and three receiving stations. The differences in the aircraft ranges from the receiving stations are used to derive the position estimate. A general analytic expression is developed to assess the error resulting from using erroneous coordinates for the receivers location. Evaluation has been performed for certain representative conditions.