Skip to main content
SpringerLink
Log in

Stabilization of Regular Satellite Precessions Using Lorentz Force Moments

  • Published:
Cosmic Research Aims and scope Submit manuscript

Abstract

The stabilization of regular precessions of a satellite in a circular orbit is considered using control moments determined by Lorentzian forces. The linearized system of equations of motion belongs to a special class of linear time-varying systems that can be reduced to time-invariant ones. Controllability was studied both for the original time-varying systems and on the basis of the reduced time-invariant systems. Optimal stabilization algorithms have been constructed. Mathematical modeling of the proposed algorithms was carried out, confirming the performance and effectiveness of the proposed methodology.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

REFERENCES

  1. Morozov, V.M., On the stability of gyrostat motion under the influence of gravitational magnetic and aerodynamic moments, Kosm. Issled., 1967, vol. 5, no. 5, pp. 727–732.

    Google Scholar 

  2. Morozov, V.M., On the stability of the relative equilibrium of a satellite under the action of gravitational, magnetic and aerodynamic moments, Kosm. Issled., 1969, vol. 7, no. 3, pp. 395–401.

    Google Scholar 

  3. Morozov, V.M., Stability of spacecraft motion, Itogi Nauki Tekh., Ser. Obshch. Mekh., 1971, pp. 1–83.

  4. Morozov, V.M. and Kalenova V.I., Satellite control using magnetic moments: Controllability and stabilization algorithms, Cosmic Res., 2020, vol. 58, no. 3, pp. 158–166.

    Article  ADS  Google Scholar 

  5. Morozov, V.M. and Kalenova, V.I., Stabilization of satellite relative equilibrium using magnetic and Lorentzian moments, Cosmic Res., 2021, vol. 59, no. 5, pp. 343–356.

    Article  ADS  Google Scholar 

  6. Kalenova, V.I. and Morozov, V.M., Novel approach to attitude stabilization of satellite using geomagnetic Lorentz forces, Aerosp. Sci. Technol., 2020, vol. 106, p. 106105. https://doi.org/10.1016/j.ast.2020.106105

    Article  Google Scholar 

  7. Morozov, V.M. and Kalenova, V.I., Stabilization of satellite relative equilibrium using magnetic moments and aerodynamic forces, Cosmic Res., 2022, vol. 60, no. 3, pp. 246–253.

    Article  Google Scholar 

  8. Ovchinnikov, M.Yu. and Roldugin, D.S., Modern algorithms for active magnetic orientation of satellites, Kosm. Apparaty Tekhnol., 2019, vol. 3, no. 2 (28), pp. 73–86. https://doi.org/10.26732/2618-7957-2019-2-73-86

  9. Ovchinnikov, M.Yu. and Roldugin, D.S., A survey on active magnetic attitude control algorithms for small satellites, Prog. Aerosp. Sci., 2019, vol. 109, p. 100546. https://doi.org/10.1016/j.paerosci.2019.05.006

    Article  Google Scholar 

  10. Kalenova, V.I., Morozov, V.M., and Rak, M.G., On the stabilization of the regular precessions of satellites by means of magnetic moments, Mech. Solids, 2021, vol. 56, pp. 1486–1499. https://doi.org/10.3103/S0025654421080136

    Article  ADS  Google Scholar 

  11. Tikhonov, A.A., A method of semipassive attitude stabilization of a spacecraft in the geomagnetic field, Cosmic Res., 2003, vol. 41, no. 1, pp. 63–73.

    Article  ADS  Google Scholar 

  12. Antipov, K.A. and Tikhonov, A.A., On satellite electrodynamic attitude stabilization, Aerosp. Sci. Technol., 2014, vol. 33, pp. 92–99. https://doi.org/10.1016/j.ast.2014.01.004

    Article  Google Scholar 

  13. Aleksandrov, A.Yu., Aleksandrova, E.B., and Tikhonov, A.A., Stabilization of a programmed rotation mode for a satellite with electrodynamic attitude control system, Adv. Space Res., 2018, vol. 62, pp. 142–151. https://doi.org/10.1016/j.asr.2018.04.006

    Article  ADS  Google Scholar 

  14. Lurie, A.A., Analiticheskaya mekhanika (Analytical Mechanics), Moscow: GIFML, 1961.

  15. Wertz, J., Spacecraft Attitude Determination and Control, Dordrecht: D. Reidel, 1978.

    Book  Google Scholar 

  16. Likins, P.W., Stability of a symmetrical satellite in attitudes fixed in an orbiting reference frame, J. Astronaut. Sci., 1965, vol. 12, no. 1, pp. 18–24.

    Google Scholar 

  17. Beletskii, V.V., Dvizhenie sputnika otnositel’no tsentra mass v gravitatsionnom pole (Motion of a Satellite Relative to the Center of Mass in a Gravitational Field), Moscow: Izd. Mosk. Univ., 1975.

  18. Kalenova, V.I. and Morozov, V.M., Lineinye nestatsionarnye sistemy i ikh prilozheniya k zadacham mekhaniki (Linear Time-varying Systems and Their Applications to Problems of Mechanics), Moscow: Fizmatlit, 2010.

  19. Roitenberg, Ya.N., Avtomaticheskoye upravleniye (Automatic Control), Moscow: Nauka, 1978.

Download references

Funding

This work was supported by ongoing institutional funding. No additional grants to carry out or direct this particular research were obtained.

Author information

Authors and Affiliations

  1. Institute of Mechanics, Moscow State University, 119991, Moscow, Russia

    V. I. Kalenova & V. M. Morozov

  2. Department of Mechanics and Mathematics, Moscow State University, 119991, Moscow, Russia

    M. G. Rak

Authors
  1. V. I. Kalenova
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. M. Morozov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. M. G. Rak
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. I. Kalenova.

Ethics declarations

The authors of this work declare that they have no conflicts of interest.

Additional information

Translated by S. Avodkova

Publisher’s Note.

Pleiades Publishing remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kalenova, V.I., Morozov, V.M. & Rak, M.G. Stabilization of Regular Satellite Precessions Using Lorentz Force Moments. Cosmic Res 62, 92–98 (2024). https://doi.org/10.1134/S0010952523700752

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0010952523700752

Search

Navigation