This article presents a mathematical model estimating the probability of successful completion of the aircraft’s flight in case of aviation equipment failure in flight. This paper shows the relationship between the aircraft’s automatic control system and flight safety. The calculations of probability are made for the successful completion of the flight on Boeing 737 aircraft when the automatic control system has failed.
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 M. Eladl, K. Eltohamy, B. Hill, T. Horne, B. Krasnovskiy, K. Leiphon and S. Taylor, “Advanced Guidance and Control-Operational and Safety Benefits,” Washington, Rep. no. DOT/FAA/AR-08/27, 2008. [Online]. Available: https://www.faa.gov/aircraft/air_cert/design_approvals/air_software/media/AR-08-27.pdf
 A. A. Lambregts, “Vertical Flight Path and Speed Control Autopilot Design Using Total Energy Principles,” AIAA Paper 83-2239CP, 1983, pp. 559-569. https://doi.org/10.2514/6.1983-2239
 A. P. Kurdjukov, G. N. Nachinkina and A. M. Shevtchenko, “Energy Approach to Flight Control,” AIAA Conf. Navigation, Guidance & Control. AAIA Paper 98-4211. Boston, 1998. https://doi.org/10.2514/6.1998-4211
 V. Z. Shestakov, “Airplanes Incidents Analysis Because of Aviation Personnel and Evaluating the Effectiveness of Measures to Prevent Accident,” in Problems of Maintenance of Sustainable Technological Systems: Vol.5, Sustainable Development of Transport. Kielce: Kielce University of Technology, 2012, pp. 111-125.
 L. Robert, I. Helmreich, R. James, A. Klinect & John, Wilhelm, “System safety and Threat and Error management: The Line operational Safety Audit (LOSA),” University of Texas Human Factors Research Project Department of Psychology The University of Texas at Austin. Austin Texas Statistical Summary of Commercial Jet Airplane Accidents, 1959-2008, Boeing.
 G. Henderson and D. Tevscher, Managing service definiteness a pilot perspective, Canada. 1980.
 M. J. W. Thomas, R. M. Petrilli and D. Dawson, “An Exploratory Study of Error Detection Processes During Normal Line Operations,” Centre for Applied Behavioural Science, University of South Australia, 2004.
 A. Merritt and J. Klinect, Defensive Flying for Pilots: An Introduction to Threat and Error Management, 2006, 20 p.
 Z. Lapinskis and V. Šestakovs, Various Safety Aspects of the Aircraft Flight. Riga, Latvia: RTU Press, 2005.
 V. Šestakovs, Human Factor in Aviation. Riga, Latvia: RTU Press, 2011.
 R. V. Sakac, Bezopasnostj poletov. Мoskva: Тransport, 1989.
 T. Galejevs, E. Lilienfelde and V. Šestakovs, “Civil Aviation Accidents and Incidents Divided According to the Groups of Managing Aviation Personnel,” Transport. Aviation transport, issue 27, pp. 367-371, 2008.
 V. Šestakovs, S. Šestakova, I. Arands, K. Pravin and P. Balosa, “Analysis of Windshear Forgings Possibility aboard the Aircraft Tu134A the Liepaja Airport - Related Accident in 22.03.1979,” Transactions of Riga Aviation University Mehanical Faculty, no. 4, 1998, pp. 7-12.
 A. Zakis, “Kak vnedrit upravlenie riskami,” Intelligent Enterprise, no. 13-14, 2003. [Online]. Available: http://www.citforum.ru/SE/project/risk (in Russian)
 Aviation Explorer. [Online]. Available: http://www.aex.ru/docs/4/2009/5/19/138/ (in Russian)