Skip to main content
Log in

Controlled Motion of a Solar Sail in the Vicinity of a Collinear Libration Point

  • Published:
Astronomy Letters Aims and scope Submit manuscript

Abstract

The motion of a spacecraft with a solar sail is considered within the restricted three-body problem of the Sun–Earth system. The equations of controlled orbital motion of the solar sail in the vicinity of the Sun–Earth collinear libration point \(L_{1}\) are investigated. Modified equations of the circular restricted three-body problem of the Sun–Earth system are used to describe the controlled orbital motion of the spacecraft and to develop the control laws. Our main result is the proposed control law in the form of a feedback that provides spacecraft keeping in the vicinity of the libration point \(L_{1}\) using the light pressure forces.

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

Access this article

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

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

REFERENCES

  1. J. Bookless and C. McInnes, Acta Astronaut. 62, 159 (2008).

    Article  ADS  Google Scholar 

  2. A. P. Markeev, Libration Points in Celestial Mechanics and Cosmodynamics (Nauka, Moscow, 1978) [in Russian].

    Google Scholar 

  3. E. Polyakhova, A. Shmyrov, and V. Shmyrov, AIP Conf. Proc. 1959, 040016 (2018).

    Article  Google Scholar 

  4. D. V. Shymanchuk and A. S. Shmyrov, Vestn. SPb. Univ., Ser. 10: Prikl. Mat., Inform., Prots. Upravl., No. 2, 76 (2013).

  5. V. A. Shmyrov, Vestn. SPb. Univ., Ser. 10: Prikl. Mat., Inform., Prots. Upravl., No. 2, 193 (2005).

  6. A. Shmyrov and D. Shymanchuk, in Proceedings of the 2015 International Conference on Mechanics—7th Polyakhov’s Reading, Ed. by A. A. Tikhonov (IEEE, St. Petersburg, 2015).

  7. A. Shmyrov, D. Shymanchuk, and L. Sokolov, in Proceedings of the 2015 International Conference on Stability and Control Processes, in Memory of V. I. Zubov, SCP 2015, Ed. by L. A. Petrosyan and A. P. Zhabko (IEEE, St. Petersburg, 2015), p. 129.

  8. V. Szebehely, Theory of Orbits—The Restricted Problem of Three Bodies (Academic, New York, 1967).

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to D. V. Shymanchuk.

Additional information

Translated by V. Astakhov

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Shymanchuk, D.V., Shmyrov, A.S. & Shmyrov, V.A. Controlled Motion of a Solar Sail in the Vicinity of a Collinear Libration Point. Astron. Lett. 46, 185–192 (2020). https://doi.org/10.1134/S1063773720030056

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063773720030056

Keywords:

Navigation