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ISSN: 1023-5086


ISSN: 1023-5086

Scientific and technical

Opticheskii Zhurnal

A full-text English translation of the journal is published by Optica Publishing Group under the title “Journal of Optical Technology”

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DOI: 10.17586/1023-5086-2023-90-07-60-67

УДК: 53.06, 53.08, 53.09

Stand for measuring the residual reactive moment of the optical-mechanical system

For Russian citation (Opticheskii Zhurnal):

Белан И.М., Ларионов Ю.П., Ларионов Д.Ю. Стенд измерения остаточного реактивного момента оптико-механической системы // Оптический журнал. 2023. Т. 90. № 7. С. 60–67.


Belan I.M., Larionov Y.P., Larionov D.Y. Stand for measuring the residual reactive moment of an optical-mechanical system [in Russian] // Opticheskii Zhurnal. 2023. V. 90. № 7. P. 60–67.

For citation (Journal of Optical Technology):

Ilya M. Belan, Yuri P. Larionov, and Daniil Yu. Larionov, "Stand for measuring the residual reactive moment of optical-mechanical systems," Journal of Optical Technology . 90(7), 390-394 (2023).


Subject of study. Reactive residual moment on the base of the spacecraft, arising from the movement of the moving part of the opto-mechanical system, and the installation for its measurement. Aim of study. Development of a method for measuring the reactive moment that occurs when moving the moving part of the optical-mechanical system, and the creation of a stand for measuring the reactive moment based on this method, and an assessment of the accuracy characteristics of the stand. Method. Mathematical modeling of the measuring unit of the stand, measurement of the reactive moment according to the proposed method. Main results. After mathematical modeling of the measuring unit of the device for measuring the reactive residual torque according to the proposed method, a stand was developed for measuring the reactive residual moment that occurs when the moving part of the opto-mechanical system moves, based on a fiber optical gyroscope as an angular velocity meter. The measurement error of the stand was estimated, which does not exceed 1%. Practical significance. The method proposed in this work for measuring the residual reactive moment will allow measuring with sufficient accuracy the residual reactive moment on the base of the spacecraft, which arose during the rotation of the moving part of the optical-mechanical system. The obtained measurements make it possible either to correct the torque compensation means on the spacecraft base, or to calculate the errors in positioning the axis of sight, taking into account the displacement of the spacecraft.


reactive moment, optical-mechanical system, indirect measurements, measuring stand, laser gyroscope

OCIS codes: 120.0280, 120.3940


1. Hiraoka T., Nishihara O., Kumamoto H. Steering reactive torque presentation method for a steer-by-wire vehicle // Rev. Automot. Eng. 2008. V. 29. № 2. P. 287–294.
2. Yoon J., Doh J. Optimal PID control for hovering stabilization of quadcopter using long short term memory // Adv. Eng. Inform. 2022. V. 53. P. 101679.
3. Kumar S., Dewan L. Quadcopter stabilization using hybrid controller under mass variation and disturbances // J. Vib. Control. 2022. P. 10775463221125628.
4. Lui C. Stabilization control of quadrotor helicopter through matching solution by controlled Lagrangian method // Asian J. Control. 2022. V. 24. № 4. P. 1885–1894.
5. Krodkiewski J.M., Faragher J.S. Stabilization of motion of helicopter rotor blades using delayed feedbackmodelling, computer simulation and experimental
verification // J. Sound Vib. 2000. V. 234. № 4. P. 591–610.
6. Rahimi A. Fault isolation and identification of a foursingle-gimbal control moment gyro on-board a 3-axis stabilized satellite // Int. J. Progn. Health Manag. 2021. V. 12. № 3. P. 1–7.
7. Kalenova V.I., Morozov V.M. Novel approach to attitude stabilization of satellite using geomagnetic Lorentz forces // Aerospace Sci. Technol. 2020. V. 106.
P. 106105.
8. Luo C., Wen H., Jin D. Deployment of flexible space tether system with satellite attitude stabilization // Acta Astronautica. 2019 V. 160. P. 240–250.
9. Murakami T., Yu F. Torque sensorless control in multidegree-of-freedom manipulator // IEEE Trans. Ind. Electron. 1993. V. 40 № 2. P. 259–265. https://doi.

10. Lisin S.P., Shevchenko I.P., Bojchenko A.N., Zabolotnyj A.M. Helicopter with rotary reaction torque compensator // RF Patent № RU2282565C2. Bull.  2006. № 24.

11. Jurkin V.I. Compensation for reactive moment of rotor // RF Patent № RU2514010. Bull. 2014. № 12.
12. Rainov T.A. Overview of new types of torque force sensors [in Russian] // Transp. Syst. Technol. 2020. V. 6. № 1. P. 5–14.
13. Lazareva T.Y., Martemyanov Y.F. Fundamentals of the theory of automatic control [in Russian]. Tambov: TSTU Publ., 2004. 352 p.
14. Erofeev A.A. Theory of automatic control. Textbook for universities [in Russian] / Ed. Mirochenkova E.M., Sharova E.V. St. Petersburg: Polytechnika Publ., 2008. 302 p.
15. Tolstov G.P. Fourier series [in Russian]. Moscow: State Publishing House of Physical and Mathematical Literature, 1960. 392 p.
16. Mironov E.G. Methods and means of measurement [in Russian]. Ekaterinburg: GOU VPO USTU-UPI Publ., 2009. 463 p.