Skip to main content
SpringerLink
Log in

Low-Thrust Transfers to Lunar Orbits from Halo Orbits Around Lunar Libration Points L1 and L2

  • Published:
Cosmic Research Aims and scope Submit manuscript

Abstract

This study is devoted to searching for lunar orbits that are accessible during departure along an unstable invariant manifold of halo orbits around lunar libration points L1 and L2. The spacecraft is assumed to be equipped with a low-thrust engine. Two levels of jet acceleration from the typical range of small-size spacecraft with low-thrust engines are considered. The study consists of two parts: (1) searching for osculating lunar orbits obtained during passive motion from halo orbits and (2) stabilization of orbits by the thrust force, directed against the spacecraft velocity. Many halo-orbits were found, the descent from which along the unstable manifold makes it possible to reach polar and near-polar orbits. The problem is solved within the model of a circular, restricted three-body problem.

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

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.
Fig. 5.
Fig. 6.
Fig. 7.
Fig. 8.
Fig. 9.
Fig. 10.
Fig. 11.
Fig. 12.
Fig. 13.
Fig. 14.
Fig. 15.
Fig. 16.
Fig. 17.
Fig. 18.
Fig. 19.
Fig. 20.

Similar content being viewed by others

REFERENCES

  1. Spektr-Rentgen-Gamma. http://srg.iki.rssi.ru/.

  2. Spektr-M Astrophysical Observatory, S.A. Lavochkin Scientific and Production Association. http://www. laspace.ru/projects/astrophysics/spectrum-m/

  3. Lo, M.W., The interplanetary superhighway and the origins program, in Aerospace Conference Proceedings, 2002, vol. 7, pp. 7-3543–7-3562.

  4. Mars Cube One (MarCO), Mission Overview. https:// www.jpl.nasa.gov/cubesat/missions/marco.php

  5. Parker, J.S. and Anderson, R.L., Low-Energy Lunar Trajectory Design, Wiley, 2013.

    Google Scholar 

  6. Koon, W.S., Lo, M.W., Marsden, J.E., and Ross, S.D., The Three-Body Problem and Space Mission, New York: Springer, 2011.

    MATH  Google Scholar 

  7. Gómez, G., Simó, C., Llibre, J., and Martínez, R., Dynamics and Mission Design Near Libration Point Orbits, vol. 1: Fundamentals: The Case of Collinear Libration Points; vol. 2: Fundamentals: The Case of Triangular Libration Points, World Scientific. 2001.

  8. Avdyushev, V.A., Chislennoe modelirovanie orbit (Numerical Modeling of Orbits), Tomsk: NTL, 2010, pp. 31–37.

  9. Pavlak, T.A., Mission Design Applications in the Earth–Moon System, MS Thesis, West Lafayette, Indiana, USA: Purdue University, 2010.

  10. Folkner, W.M., Williams, J.G., Boggs, D.H., et al., The Planetary and Lunar Ephemerides DE430 and DE431, IPN Progress Report 42-196, 2014.

  11. Seidelmann, P.K., Archinal, B.A., A’Hearn, M.F., et al., Report of the IAU/IAG Working Group on cartographic coordinates and rotational elements: 2006, Celestial Mech. Dyn. Astron., 2007, vol. 98, no. 3, pp. 155–180.

    Article  ADS  Google Scholar 

Download references

Funding

This study was fully supported by the Russian Science Foundation (project No. 14-11-00621).

Author information

Authors and Affiliations

  1. Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, 125047, Moscow, Russia

    M. G. Shirobokov & S. P. Trofimov

Authors
  1. M. G. Shirobokov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. P. Trofimov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. G. Shirobokov.

Additional information

Translated by Yu. Preobrazhensky

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Shirobokov, M.G., Trofimov, S.P. Low-Thrust Transfers to Lunar Orbits from Halo Orbits Around Lunar Libration Points L1 and L2. Cosmic Res 58, 181–191 (2020). https://doi.org/10.1134/S0010952520030065

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0010952520030065

Search

Navigation