Microgravity Science and Technology

, Volume 30, Issue 4, pp 503–509 | Cite as

Mean of Microaccelerations Estimate in the Small Spacecraft Internal Environment with the Use of Fuzzy Sets

  • A. V. SedelnikovEmail author
Original Article


Assessment of parameters of rotary motion of the small spacecraft around its center of mass and of microaccelerations using measurements of current from silicon photocells is carried out. At the same time there is a problem of interpretation of ambiguous telemetric data. Current from two opposite sides of the small spacecraft is significant. The mean of removal of such uncertainty is considered. It is based on an fuzzy set. As membership function it is offered to use a normality condition of the direction cosines. The example of uncertainty removal for a prototype of the Aist small spacecraft is given. The offered approach can significantly increase the accuracy of microaccelerations estimate when using measurements of current from silicon photocells.


Small spacecraft Current from silicon photocells Fuzzy set Microaccelerations estimate 



This work is done in accordance with the Agreement No. 14.578.21.0229 of September 26, 2017 between the Ministry of Education and Science of the Russian Federation and Samara University (a unique identifier of the project is RFMEFI57817X0229).


  1. Abrashkin, V.I., Puzin, Y.Y., Filippov, A.S., Voronov, K.E., Piyakov, A.V., Semkin, N.D., Sazonov, V.V., Chebukov, S.Y.: Uncontrolled attitude motion of the small satellite AIST. Cosm. Res. 53(5), 360–373 (2015)CrossRefGoogle Scholar
  2. Abrashkin, V.I., Puzin, Y.Y., Voronov, K.E., Piyakov, I.V., Sazonov, V.V., Syomkin, N.D., Chebukov, S.Y.: A simplified technique for determining the rotational motion of a satellite based on the onboard measurements of the angular velocity and magnetic field of the Earth. Cosm. Res. 54(5), 375–387 (2016)CrossRefGoogle Scholar
  3. Abrashkin, V.I., Puzin, Y.Y., Filippov, A.S., Voronov, K.E., Piyakov, A.V., Semkin, N.D., Sazonov, V.V., Chebukov, S.Y.: Uncontrolled rotational motion of the AIST small spacecraft prototype. Cosmic Res. 55 (2), 128–141 (2017)CrossRefGoogle Scholar
  4. Anshakov, G.P., Belousov, A.I., Sedelnikov, A.V.: The problem of estimating microaccelerations aboard Foton-M4 spacecraft. Russian Aeronautics 60(1), 83–89 (2017)Google Scholar
  5. Babcock, E.B.: CubeSat attitude determination via Kalman filtering of magnetometer and solar sell data, 25th Annual AIAA/USU Conference on Small Satellites, p. 1–10 (2011)Google Scholar
  6. Belousov, A.I., Sedelnikov, A.V.: Probabilistic estimation of fulfilling favorable conditions to realize the gravity-sensitive processes aboard a space laboratory. Russian Aeronautics 56(3), 60–63 (2013)Google Scholar
  7. Belousov, A.I., Sedelnikov, A.V., Potienko, K.I.: Study of effictive application of electric jet engine as a mean to reduce microacceleration level. Int. Rev. Aerospace Eng. 8(4), 157–160 (2015)CrossRefGoogle Scholar
  8. Beuselinck, T., Van Bavinchove, C., Abrashkin, V.I., Kazakova, A.E., Sazonov, V.V.: Determination of attitude motion of the FOTON M-3 satellite according to the data of onboard measurements of the Earth’s magnetic field. Cosm. Res. 48(3), 246–259 (2010)CrossRefGoogle Scholar
  9. Davydov, A.A.: Determination of parameters of attitude motion of a small communication satellite using the data of measurements of current of solar panels. Cosm. Res. 49(4), 335–344 (2011)CrossRefGoogle Scholar
  10. Lyubimova, T., Lobov, N., Shevtsova, V.: Stability of a stationary plane-parallel flow of a ternary fluid between two vertical plates maintained at constant different temperatures. Eur. Phys. J. E 41, 23 (2018). CrossRefGoogle Scholar
  11. Novikov, S.Y., Fedina, M.E.: Reconstruction of vector (signal) by the norms of projections, Computer Optics and Nanophotonics. Information Technology and Nanotechnology, Samara. C. 1045–1050 (2017)Google Scholar
  12. Olléa, J., Duberta, D., Gavaldàa, J., Laverón-Simavilla, A., Ruizac, X., Shevtsova, V.: Onsite vibrational characterization of DCMIX2/3 experiments. Acta Astronaut. 140, 409–419 (2017)CrossRefGoogle Scholar
  13. Ovchinnikov, M.Y., Penkov, V.I., Roldugin, D.S., Ivanov, D.S.: Magnetic navigation systems of small satellites, Moskow: Applied Mathematics Institute of M.V. Keldysh of the Russian Academy of Sciences, p. 366 (2016)Google Scholar
  14. Schwabe, M., Du, C.-R., Huber, P., Lipaev, A.M., Molotkov, V.I., Naumkin, V.N., Zhdanov, S.K., Zhukhovitskii, D.I., Fortov, V.E., Thomas, H.M.: Latest Results on Complex Plasmas with the PK-3 Plus Laboratory on Board the International Space Station, Microgravity Sci. Technol. (2018)
  15. Sedelnikov, A.V.: Fractal assessment of microaccelerations at weak damping of natural oscillation in spacecraft elastic elements. Russian Aeronautics 50(3), 322–325 (2007)CrossRefGoogle Scholar
  16. Sedelnikov, A.V.: Classification of microaccelerations according to methods of their control. Microgravity Sci. Technol. 27(3), 245–251 (2015)CrossRefGoogle Scholar
  17. Sedelnikov, A.V.: Modeling of microaccelerations caused by running of attitude-control engines of spacecraft with elastic structural elements. Microgravity Sci. Technol. 28(5), 491–498 (2016)CrossRefGoogle Scholar
  18. Sedelnikov, A.V.: Fast Analysis of Onboard Measurements of the Earth Magnetic Field for the Purpose of Microaccelerations Decrement on Board of the “AIST” Small Spacecraft During its Uncontrolled Orbital Flight, Int. Rev. Aerospace Eng. 11(2), 1–13. (article in press: (2018)
  19. Sedelnikov, A.V., Kireeva, A.A.: Alternative solutions to increase the duration of microgravity calm period on board the space laboratory. Acta Astronaut. 69, 480–484 (2011)CrossRefGoogle Scholar
  20. Sedelnikov, A.V., Potienko, K.I.: How to estimate microaccelerations for spacecraft with elliptical orbit. Microgravity Sci. Technol. 28(1), 41–48 (2016)CrossRefGoogle Scholar
  21. Sedelnikov, A.V., Serpukhova, A.A.: Simulation of a flexible spacecraft motion to evaluate microaccelerations. Russian Aeronautics 52(4), 484–487 (2009)CrossRefGoogle Scholar
  22. Semkin, N.D., Sazonov, V.V., Voronov, K.E., Piyakov, A.V., Dorofeev, A.S., Ilyin, A.B., Puzin, Y.Y., Vidmanov, A.S.: Magnetic field measurments at small spacecraft “Aist”. Phys. Wave Process. Radio Eng. Syst. 18(4), 67–73 (2015)Google Scholar
  23. Semkin, N.D., Voronov, K.E., Piyakov, A.V., Rodin, D.V., Kalaev, M.P.: A system for compensating microaccelerations of the Aist small spacecraft. Instrum. Exp. Tech. 58(4), 562–568 (2015)CrossRefGoogle Scholar
  24. Small spacecrafts of a Aist series. (design, tests, operation, development) under edition by A.N. Kirilin, Samara: publishing house of the Samara scientific center. 348 p. (2017)Google Scholar
  25. Springmann, J.C.: Satellite Attitude Determination with Low-Cost Sensors, (The thesis on competition of an academic degree of Doctor of Philosophy (Aerospace Engineering), Michigan), p. 141 (2013)Google Scholar
  26. Triller, T., Bataller, H., Bou-Ali, M.M., et al.: Thermodiffusion in Ternary Mixtures of Water/Ethanol/Triethylene Glycol: First Report on the DCMIX3-experiments Performed on the International Space Station, Microgravity Sci. Technol. (2018).

Copyright information

© Springer Science+Business Media B.V., part of Springer Nature 2018

Authors and Affiliations

  1. 1.Samara National Research UniversitySamaraRussia

Personalised recommendations