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Aerospace Instrument-Making

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REGULATED MATHEMATICAL MODEL FOR THE FLIGHT OF A PROJECTILE IN THE ATMOSPHERE
V.A. Afanasyev, N.N. Malivanov, A.S. Meshchanov

For a guided projectile that is a high precision weapon of selective destruction we have developed the mathematical model of its flight in the atmosphere with the drag proportional to the speed squared and found analytical solutions to determine kinematical parameters of its trajectory. Regulation of an undetermined coefficient that is in the motion differential equations is performed during the flight when it is commutated within an interval between measurements of motion parameters. The obtained analytical expressions to calculate the motion parameters during a current flight interval is the convenient mathematical software to develop onboard control and identification algorithms. E-mail: ava46@mail.ru

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