Browsing by Author "Opanasiuk, Yuriy"

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    Hyperboloid parameterization using in the moving object position and trajectory determination
    (National Aviation University, 2020-07-06) Bidyuk, Petro; Manuilenko, Roman; Pantyeyev, Roman; Opanasiuk, Yuriy; Бідюк, Петро Іванович; Мануйленко, Роман Іванович; Пантєєв, Роман Леонідович; Опанасюк, Юрій Арценович
    The problem of the coordinates determining of the radio emission source in the passive radio monitoring complexes is very relevant, but complex calculation procedure. There are many factors that negatively affect the accuracy of the method. The method proposed in this article will more accurately determine the coordinates of the object. The article considers a mathematical model of space-time objects and a complex radio source. Based on parameterization and coordinate transformation, the hyperbolic system of object position equations is reduced from three to two equations. As a result, reducing the number of iterations and the number of calculations in one iteration of Newton's method are more accurate coordinates of the object. Parameterization quickly determines the new location of the object at the maximum possible speed. Usually airplanes and drones move at a lower speed, so the use of difference-range method and parameterization of hyperboloids allow you to find a new location of the object in one iteration.