Procedure of assessing the error of the device for measuring mass-centering and inertial characteristics of nanosatellites using reference objects

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In this paper, we solve the problem of experimental determination of the accuracy of a device for measuring mass-centering and inertial characteristics of nanosatellites which was developed at Samara University and based on the principle of inverted torsional pendulum. A procedure for determining the measurement error of the inertia tensor components and the center-of-mass coordinates using reference objects is proposed. For this purpose, a reference composite object of variable configuration was developed and produced in the form of a CubeSat 3U nanosatellite. With the help of this standard, a modified method of conducting an experiment was developed, which allows reducing the influence of errors in the manufacture of the device and its tooling on the measurement accuracy by averaging the homogeneous quantities. The article presents the results of a series of experiments to determine the errors in measuring mass-centering and inertial characteristics of a reference composite object of three variants of assembly. This series of experiments confirmed the measurement error theoretically calculated and stated in the technical documentation for the device. In addition, the accuracy of the electronic optical sensor installed on the device was evaluated and it was found that the influence of environmental factors on its operation is insignificant and can be neglected. The results of this work can be used to determine the error of measuring the center-of-mass coordinates and the inertia tensor components of a CubeSat 1U-3U nanosatellite at the pre-launch testing stage.

About the authors

P. V. Vasin

Samara National Research University

Author for correspondence.

Software Engineer

Russian Federation

E. V. Barinova

Samara National Research University

ORCID iD: 0000-0002-4645-7212

Candidate of Science (Engineering), Associate Professor of the Department of Further Mathematics, Senior Researcher of the Research and Development Laboratory 102

Russian Federation


  1. Gernet M.M., Ratobyl'skiy V.F. Opredelenie momentov inertsii [Determination of moments of inertia]. Moscow: Mashinostroenie Publ., 1969. 247 p.
  2. Genta G., Delprete C. Some considerations on the experimental determination of moments of inertia. Meccanica. 1994. V. 29, Iss. 2. P. 125-141. doi: 10.1007/BF01007497
  3. Altra Industrial Motion. Inertia dynamics. Available at:
  4. Resonic. Resonic K. Available at:
  5. Raptor scientific. SpaceElectronics KSR, CG/MOI. Available at:
  6. Belokonov I.V., Kliuchnik V.N., Barinova E.V., Ivliev A.V., Boltov E.A. Procedure of experimental evaluation of nanoclass spacecraft design parameters using the ground test equipment. IOP Conference Series: Materials Science and Engineering. 2020. V. 984. Iss. 1. doi: 10.1088/1757-899X/984/1/012038
  7. Olmedo N.A., Barczyk M., Lipsett M. Experimental determination of the inertial properties of small robotic systems using a torsion platform. Mechanical Systems and Signal Processing. 2019. V. 131. P. 71-96. doi: 10.1016/j.ymssp.2019.05.021
  8. Belokonov I.V., Barinova E.V., Ivliev A.V., Klyuchnik V.N., Timbaj I.A. Ustroystvo dlya opredeleniya polozheniya tsentra mass i momentov inertsii ob"ektov [Device for determining position of the center of mass and moments of inertia of objects]. Patent RF, no. 2698536, 2019. (Publ. 28.08.2019, bull. no. 25)
  9. Golitsyna O.M., Merem'yanin A.V., Risin V.E. Matematicheskaya obrabotka rezul'tatov izmereniy v laboratornom praktikume po kursu obshchey fiziki: ucheb.-metod. posobie [Mathematical processing of measurement results in a laboratory practical work on the course of general physics]. Voronezh: Izdatel'skiy Dom VGU Publ., 2015. 20 p.
  10. GOST 8.010-2013. State system for ensuring the uniformity of measurements. Procedures of measurements. Main principles. Moscow: Standartinform Publ., 2014. 11 p. (In Russ.)
  11. Tsvetkova E.V., Shabunio E.V. Izmerenie momenta inertsii tverdykh tel metodom krutil'nykh kolebaniy: metodicheskie ukazaniya k laboratornoy rabote № 111 po mekhanike [Measurement of the moment of inertia of solid bodies by the torsional oscillation method: laboratory operations manual for laboratory work No. 111 on mechanics]. Orenburg: GOU OGU Publ., 2006. 12 p.

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