The Model and Algorithm for Calculating of the Coordinates of an Aircraft Using a Location Sensors
Purpose of research. The applied models and algorithms for calculating the coordinates of aircraft are partially suitable for determining the location of small spacecraft. The limitation is determined by the lack of their own means of measuring and transmitting coordinates, which is not always advisable from the point of view of continuity of control of a small spacecraft. An alternative approach is the continuous determination of coordinates using ADS-B and ASI position sensors. These sensors are installed on aircraft. Such aircraft are considered mobile standard objects on the surface of the Earth that are constantly present in airspace. The purpose of the study is the continuous determination of the coordinates of a moving standard mobile object transmitting own coordinates. Methods. The study examines the method and model of triangulation. The interference models of signals from all standard objects transmitting their coordinates are suitable among various computational options. The calculated area of the aircraft is determined by finding local intersections between pairs of circles. The final result is getting the common intersection area of all circles. Results. Model calculations of well-known models and the developed model of intersection of circles were carried out. They show the permissibility of using the created model and algorithm. The required accuracy is achieved by iterative addition of new reference objects and standard of the area of intersection of circles. The coordinates of the aircraft are defined as the center of mass of the polygon obtained from the boundary points of the calculated area. Conclusion. The developed model and algorithm are the basis of the control system, which allows you to determine the coordinates of a small spacecraft, as well as to clarify the coordinates of the aircraft with transmitting sensors. The control system provides the determination of the trajectory of the aircraft. This information is additional information about the movement of the aircraft. The created model and algorithm allow for a certain flight time to accumulate data on the flight path and predict the possible path of motion of a aircraft or small spacecraft.