Mathematical Model of Gyroscope with Contactless Suspended Rotor and Three-component Accelerometer for Solving Problems of Autonomous Autonomous Navigation

Authors

  • Oleg Smirnov State University "Kyiv Aviation Institute"
  • Yuriy Kemenyash State University "Kyiv Aviation Institute"

DOI:

https://doi.org/10.18372/1990-5548.84.20201

Keywords:

non-contact gyroscope, three-component accelerometer, kinematic relations, mathematical model, autonomous navigation

Abstract

The problem of creating a mathematical model of a free three-degree gyroscope with a contactless suspended rotor and a three-component accelerometer for solving problems of high-precision autonomous navigation is solved. The problem under consideration includes determination of kinematic relations of the gyro device and solution of a direct problem for finding navigation parameters for a stationary base. The suspension system of these gyroscopes is practically indifferent to the environment in which the gyro operates, but in order to reduce braking moments, the gyro rotor is placed in a vacuum chamber. The given structure of vector relationships between coordinate systems and model parameters allows us to write down several groups of equations regarding the angular positions of the gyro rotor and its angular velocities.

Author Biographies

Oleg Smirnov , State University "Kyiv Aviation Institute"

Candidate of Science (Engineering)

Assocsate Professor

Department of Aviation Computer-Integrated Complexes

Faculty of Air Navigation, Electronics and Telecommunications

Yuriy Kemenyash , State University "Kyiv Aviation Institute"

Senior Teacher

Aviation Computer-Integrated Complexes Department

Faculty of Air Navigation, Electronics and Telecommunications

References

Y. G. Martynenko, “On the problems of levitation of bodies in force fields,” Soros Educational Journal, vol. 3, pp. 82–86, 1996.

Substantiation of the structural scheme of the mathematical model of a free gyroscope on a magnetic suspension. Collection of scientific reports, KIISU, 2009, pp. 319–324.

Sapozhnikov G. A. and Bogoslovsky S. V., “Optimization of magnetic suspension control in sensors,” Scientific Instrumentation, no. 3, pp. 76–86, 2001.

Dolga Valer and Dolga Lia, “Modelling and simulation of a magnetic levitation system. Fascicle of Management and Technological Engineering,” Annals of the Oradea University, vol. VI (XVI), pp. 1118–1124, 2007.

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Published

2025-06-30

How to Cite

Smirnov , O., & Kemenyash , Y. (2025). Mathematical Model of Gyroscope with Contactless Suspended Rotor and Three-component Accelerometer for Solving Problems of Autonomous Autonomous Navigation. Electronics and Control Systems, 2(84), 98–103. https://doi.org/10.18372/1990-5548.84.20201

Issue

Vol. 2 No. 84 (2025)

Section

AVIATION TRANSPORT

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