novtexmechМехатроника, автоматизация, управлениеMekhatronika, Avtomatizatsiya, Upravlenie1684-64272619-1253Commercial Publisher «New Technologies»10.17587/mau.27.146-155novtexmech-1957Research ArticleДИНАМИКА, БАЛЛИСТИКА, УПРАВЛЕНИЕ ДВИЖЕНИЕМ ЛЕТАТЕЛЬНЫХ АППАРАТОВDYNAMICS, BALLISTICS AND CONTROL OF AIRCRAFTВерификация и проверка правильности теоретических формул барометрических параметров с использованием измерений на местеVerification and Validation of Theoretical Predictions for Barometric Parameters using in-situ Aircraft MeasurementsКорсунО. Н.KorsunO. N.

О. Н. Корсун, д-р техн. наук, проф., Руководитель научно-образовательного центра

г. Москва

Korsun Oleg N., Dr. of Sc. (Engr.), Professor, Head of the Scientific and Educational Center

Moscow

marmotto@rambler.ruОмМоунг ХтангOmMoung Htang

Моунг Хтанг Ом, канд. техн. наук, докторант

г. Москва

Moung Htang Om, Сand. of Tech. Sc., Post-Doctoral Candidate

Moscow

mounghtangom50@gmail.comКарапетянТ. С.KarapetyanT. S.

Т. С. Карапетян, ст. преподаватель

г. Москва

T. S. Karapetyan, Senior Lecturer

Moscow

karapetyantigr@ya.ruГосНИИАС; МАИ (НИУ)РоссияState Research Institute of Aviation SystemsRussian FederationМАИ (НИУ)РоссияMoscow Aviation Institute (NRU)Russian FederationМАИ (НИУ); ГосНИИ ГАРоссияMoscow Aviation Institute (NRU); State Research Institute of Civil AviationRussian Federation202613032026273146155Copyright © Commercial Publisher «New Technologies», 20262026Commercial Publisher «New Technologies»Commercial Publisher «New Technologies»https://mech.novtex.ru/jour/about/submissions#copyrightNoticehttps://mech.novtex.ru/jour/article/view/1957

Благодаря тщательному анализу соответствия между теоретическими моделями и бортовыми измерениями эта проверка правильности выявила значительно меньшие среднеквадратические отклонения и чрезмерно сильные корреляции, что подчеркивает значительную сходимость между теоретически оцененными данными и эмпирическими данными. Проведены тщательные верификация и валидация критических полетных параметров, включая число Маха, динамическое давление, статическое давление, скоростной напор и высоту полета, с использованием барометрических измерений и установленных теоретических формулировок. Анализ выявил исключительную согласованность между измеренными значениями и теоретическими расчетами, причем все параметры демонстрировали впечатляюще низкие среднеквадратические отклонения и минимальные относительные погрешности, представленные несколькими десятичными знаками. Эта высокая степень точности подчеркивает надежность применяемых методологий, подтверждая, что измерения тесно соответствуют теоретическим аппроксимациям. Впечатляющая новизна этой работы заключается в ее вкладе как в преодоление разрыва между теоретическими атмосферными моделями и практическими авиационными системами, так и в создание надежной статистической базы для подтверждения барометрических измерений, которая обеспечивает надежность использования теоретических формулировок при выполнении полетов, способствуя тем самым повышению безопасности полетов и оптимизации эксплуатационных характеристик в авиационной отрасли.

A critical validation of the theoretical predictions for barometric parameters was carried out by direct empirical comparison with realworld data obtained from Air Data Units. Through analysis of the coincidence between theoretical models and actual In-Situ aircraft measurements, this validation revealed considerably diminished standard deviations and strong correlations, highlighting the significant convergence between theoretically predicted data and empirical data. The study conducted a thorough verification and validation of critical flight parameters, including Mach number, impact pressure, static pressure, dynamic pressure, and flight altitude, using barometric measurements and established theoretical formulations. The analysis revealed exceptional consistency between the measured values and theoretical calculations, with all parameters exhibiting remarkably low standard deviations and minimal relative errors, often represented with multiple decimal places. This high degree of precision underscores the reliability of the methodologies employed, affirming that the measurements align closely with theoretical expectations. The importance of this work lies in its contribution both to bridging the gap between theoretical atmospheric and barometric models and practical aviation applications, and to creating a reliable statistical base for validating barometric measurements, which ensures the reliability of the use of theoretical formulations in flight operations, thereby contributing to improving flight safety and optimizing operational characteristics in the aviation sector.

проверка правильностистандартная атмосфераблок воздушных параметровбортовые измерениябезопасность полетовvalidationstandard atmosphereair data unitsin-situ aircraft measurementsflight safetyИсследование выполнено при финансовой поддержке Министерства науки и высшего образования Российской Федерации в рамках соглашения № 075-15-2025-606 / This work was supported by the Ministry of science and higher education of the Russian Federation, grant No 075-15-2025-606.This work was supported by the Ministry of science and higher education of the Russian Federation, grant No 075-15-2025-606ReferencesMenzies M. A. Integrated Air Data Sensors, The Aeronautical Journal, April 2001, vol. 105, pp. 223—229.Menzies M. A. Integrated Air Data Sensors, The Aeronautical Journal, April 2001, vol. 105, pp. 223—229.Collinson R. P. G. Air Data and Air Data Systems, Introduction to Avionics Systems, Boston, MA, Springer, 2003, DOI: 10.1007/978-1-4419-7466-2_7Collinson R. P. G. Air Data and Air Data Systems, Introduction to Avionics Systems, Boston, MA, Springer, 2003, DOI: 10.1007/978-1-4419-7466-2_7Boeing. Pilot’s Guide to Flight Operations, Boeing, 2018.Boeing. Pilot’s Guide to Flight Operations, Boeing, 2018.European Aviation Safety Agency, Guidelines on the use of Aerometric Data, EASA Publications, 2014.European Aviation Safety Agency, Guidelines on the use of Aerometric Data, EASA Publications, 2014.FAA. Airworthiness Standards: Aircraft and Equipment, Federal Aviation Administration, 2019.FAA. Airworthiness Standards: Aircraft and Equipment, Federal Aviation Administration, 2019.Smith J., Brown L., Taylor R. Advances in Aeronautical Engineering, Journal of Aeronautics, 2020, vol. 45, no. 3, pp. 234—250.Smith J., Brown L., Taylor R. Advances in Aeronautical Engineering, Journal of Aeronautics, 2020, vol. 45, no. 3, pp. 234—250.Bogatkin O. G. Aviation Meteorology. Textbook, St. Petersburg, Publishing house of RGGMU, 2O05, 28 p. (In Russian)Bogatkin O. G. Aviation Meteorology. Textbook, St. Petersburg, Publishing house of RGGMU, 2O05, 28 p. (In Russian)Cooper W. A., Spuler S. M., Spowart M., Lenschow D. H., Friesen R. B. Calibrating airborne measurements of airspeed, pressure and temperature using a Doppler laser airmotion sensor, Atmos. Meas. Tech., no. 7, pp. 3215—3231, DOI: 10.5194/amt-7-3215-2014, 2014.Cooper W. A., Spuler S. M., Spowart M., Lenschow D. H., Friesen R. B. Calibrating airborne measurements of airspeed, pressure and temperature using a Doppler laser airmotion sensor, Atmos. Meas. Tech., no. 7, pp. 3215—3231, DOI: 10.5194/amt-7-3215-2014, 2014.Grauer J. Position Corrections for Airspeed and Flow Angle Measurements on Fixed-Wing Aircraft, TM-2017-219795, NASA, Hampton, VA, pp. 36.Grauer J. Position Corrections for Airspeed and Flow Angle Measurements on Fixed-Wing Aircraft, TM-2017-219795, NASA, Hampton, VA, pp. 36.Pavlovsky A. A., Soldatkin V. V., Soldatkin V. M. Estimation of the spread of aerodynamic characteristics of a multifunctional air pressure receiver, Izv. vuzov. Instrumentation, 2022, vol. 65, no. 6, pp. 398—405, DOI: 10.17586/0021-3454-2022-65-6-398-405 (In Russian).Pavlovsky A. A., Soldatkin V. V., Soldatkin V. M. Estimation of the spread of aerodynamic characteristics of a multifunctional air pressure receiver, Izv. vuzov. Instrumentation, 2022, vol. 65, no. 6, pp. 398—405, DOI: 10.17586/0021-3454-2022-65-6-398-405 (In Russian).Pashayev A. M. J., Bazarkhanov A. T., Karimli T. I. a, Neymatov H. V., Karimli V. I. a. Aerometric method and device (system) for measuring aircraft spatial position yaw and lateral velocity. Patent. 20190137537. 2018.Pashayev A. M. J., Bazarkhanov A. T., Karimli T. I. a, Neymatov H. V., Karimli V. I. a. Aerometric method and device (system) for measuring aircraft spatial position yaw and lateral velocity. Patent. 20190137537. 2018.Walter S. Method and device for automatically estimating an airspeed of an aircraft. Patent. US20130066488A1. 2012Walter S. Method and device for automatically estimating an airspeed of an aircraft. Patent. US20130066488A1. 2012Zhubin F., Ruikun Y. Real-time estimation of altitude and airspeed under large airflow angles in flight test, J. Phys.: Conf. Ser., 2023, 2551, p. 012001, DOI: 10.1088/1742-6596/2551/1/012001Zhubin F., Ruikun Y. Real-time estimation of altitude and airspeed under large airflow angles in flight test, J. Phys.: Conf. Ser., 2023, 2551, p. 012001, DOI: 10.1088/1742-6596/2551/1/012001Derevyankin V. P., Pavlovskii A. A., Soldatkin V. V. et al. Influence of Manufacturing Tolerance on Aerodynamic Performance and Errors of the Multifunctional Air Pressure Receiver of Aircraft Aerometric Systems, Russ. Aeronaut., 2022, no. 65, pp. 186—192, DOI: 10.3103/S1068799822010214Derevyankin V. P., Pavlovskii A. A., Soldatkin V. V. et al. Influence of Manufacturing Tolerance on Aerodynamic Performance and Errors of the Multifunctional Air Pressure Receiver of Aircraft Aerometric Systems, Russ. Aeronaut., 2022, no. 65, pp. 186—192, DOI: 10.3103/S1068799822010214Matyja T., Stanik Z., Kubik A. Automatic correction of barometric altimeters using additional air temperature and humidity measurements, GPS Solut 28, 2024, no. 40, DOI: 10.1007/s10291-023-01582-7Matyja T., Stanik Z., Kubik A. Automatic correction of barometric altimeters using additional air temperature and humidity measurements, GPS Solut 28, 2024, no. 40, DOI: 10.1007/s10291-023-01582-7Dabberdt W. F., Viezee W. South Central Coast Cooperative Aerometric Monitoring Program (SCCCAMP), Bulletin of the American Meteorological Society, 1987, vol. 68, iss. 9, pp. 1098—1110, DOI: 10.1175/1520-0477(1987)068<1098:SCCCAM>2.0.CO;2Dabberdt W. F., Viezee W. South Central Coast Cooperative Aerometric Monitoring Program (SCCCAMP), Bulletin of the American Meteorological Society, 1987, vol. 68, iss. 9, pp. 1098—1110, DOI: 10.1175/1520-0477(1987)068<1098:SCCCAM>2.0.CO;2Adams E. Theoretical Models in Aeronautical Engineering, Aeronautics Science Review, 2019, vol. 54, no. 2, pp. 150—165.Adams E. Theoretical Models in Aeronautical Engineering, Aeronautics Science Review, 2019, vol. 54, no. 2, pp. 150—165.Taylor H., Green P. Research Trends in Atmospheric Sciences, Atmospheric Research Journal, 2020, vol. 39, no. 5, pp. 320—330.Taylor H., Green P. Research Trends in Atmospheric Sciences, Atmospheric Research Journal, 2020, vol. 39, no. 5, pp. 320—330.Cavcar M. The International Standard Atmosphere (ISA), 2000, available at: http://home.anadolu.edu.tr/~mcavcar/common/ISAweb.pdfCavcar M. The International Standard Atmosphere (ISA), 2000, available at: http://home.anadolu.edu.tr/~mcavcar/common/ISAweb.pdfKorsun O. N., Gerilovich I. V., Moung Htang Om. Consideration of atmospheric properties when comparing mathematical models of aerodynamic coefficients with flight test data, Herald of the Bauman Moscow State Technical University, Series Instrument Engineering, 2021, no. 4 (137), pp. 152—168, DOI: 10.18698/0236-3933-2021-4-152-168 (In Russian).Korsun O. N., Gerilovich I. V., Moung Htang Om. Consideration of atmospheric properties when comparing mathematical models of aerodynamic coefficients with flight test data, Herald of the Bauman Moscow State Technical University, Series Instrument Engineering, 2021, no. 4 (137), pp. 152—168, DOI: 10.18698/0236-3933-2021-4-152-168 (In Russian).Véras V. L. M., Goes L. C. S. Synthetic air data — a comparative practical study, ICAS 2022.Véras V. L. M., Goes L. C. S. Synthetic air data — a comparative practical study, ICAS 2022.

The authors declare that there are no conflicts of interest present.