Skip to main content
Log in

Indirect transfer to the Earth–Moon L1 libration point

  • Original Article
  • Published:
Celestial Mechanics and Dynamical Astronomy Aims and scope Submit manuscript

Abstract

The Earth–Moon L1 libration point is proposed as a human gateway for space transportation system of the future. This paper studies indirect transfer using the perturbed stable manifold and lunar flyby to the Earth–Moon L1 libration point. Although traditional studies indicate that indirect transfer to the Earth–Moon L1 libration point does not save much fuel, this study shows that energy efficient indirect transfer using the perturbed stable manifold and lunar flyby could be constructed in an elegant way. The design process is given to construct indirect transfer to the Earth–Moon L1 libration point. Simulation results show that indirect transfer to the Earth–Moon L1 libration point saves about 420 m/s maneuver velocity compared to direct transfer, although the flight time is about 20 days longer.

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.

Similar content being viewed by others

References

  • Alessi E.M., Gomez G., Masdemont J.J.: Leaving the Moon by means of invariant manifolds of libration point orbits. Commun. Nonlinear Sci. Numer. Simul. 14(12), 4153–4167 (2008a)

    Article  MathSciNet  ADS  Google Scholar 

  • Alessi, E.M., Gomez, G., Masdemont, J.J.: LEO-Lissajous transfers in the Earth–Moon system. In: 59th International Astronautical Federation congress, Paper No. IAC08-C1.3.7 (2008b)

  • Belbruno E., Miller J.: Sun-perturbed Earth-to-Moon transfers with ballistic capture. J. Guidance Control Dyn. 16(4), 770–775 (1993)

    Article  ADS  Google Scholar 

  • Bernelli-Zazzera, F., Topputo, F., Massari, M.: Assessment of mission design including utilization of libration points and weak stability boundaries. Ariadna Study id: 03/4103 (2004)

  • Circi C., Teofilatto P.: On the dynamics of weak stability boundary lunar transfers. Celest. Mech. Dyn. Astron. 79(1), 41–72 (2001)

    Article  MATH  ADS  Google Scholar 

  • Davis K.E., Anderson R.L., Scheeres D.J., Born G.H.: The use of invariant manifolds for transfers between unstable periodic orbits of different energies. Celest. Mech. Dyn. Astron. 107, 471–485 (2010)

    Article  ADS  Google Scholar 

  • Farquhar R.W., Dunham D.W., Yanping Guo , McAdams J.V.: Utilization of libration points for human exploration in the Sun–Earth–Moon system and beyond. Acta Astronautica. 55, 687–700 (2004)

    Article  ADS  Google Scholar 

  • Garcia F., Gomez G.: A note on weak stability boundaries. Celestial Mech. Dyn. Astr. 97(2), 87–100 (2007)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  • Gomez G., Jorba A., Masdemont J., Simò C.: Study of the transfer from the Earth to a halo orbit around the equilibrium point L1. Celest. Mech. Dyn. Astron. 56(4), 541–562 (1993)

    Article  MATH  ADS  Google Scholar 

  • Gordon, D.P.: Transfers to Earth–Moon L2 halo orbits using lunar proximity and invariant manifolds. M.S. Thesis, Purdue University (2008)

  • Koon W., Lo M., Marsden J., Ross S.: Low energy transfer to the Moon. Celest. Mech. Dyn. Astron. 81(1), 63–73 (2001)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  • Li M., Zheng J.: Impulsive lunar halo transfers using the stable manifolds and lunar flybys. Acta Astronautic 66, 1481–1492 (2010)

    Article  Google Scholar 

  • Lo, M.W., Chung, M.J.: Lunar sample return via the interplanetary superhighway. In: AIAA/AAS Astrodynamics Specialist Conference, California (2002)

  • Lo, M.W., Ross, S.D.: The lunar L1 gateway: Portal to the stars and beyond. In: Proceedings of the AIAA Space 2001 Conference, Albuquerque (2001)

  • Parker, J.S.: Families of low-energy lunar halo transfers. AAS/AIAA Spaceflight Dynamics Conference, AAS 06-132 (2006)

  • Parker, J.S., Born, G.H.: Direct lunar halo orbit transfers. AAS/AIAA Spaceflight Mechanics Conference, AAS 07-229 (2007)

  • Parker, J.S., Lo, M.W.: Shoot the Moon 3D. AIAA/AAS Astrodynamics Specialist Conference, AIAA 2005-383 (2005)

  • Perozzi E., Di Salvo A.: Novel spaceways for reaching the Moon: an assessment for exploration. Celest. Mech. Dyn. Astron. 102(1–3), 207–218 (2008)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  • Rausch, R.R.: Earth to halo orbit transfer trajectories. M.S. Thesis, Purdue University (2005)

  • Romagnoli D., Circi C.: Earth–Moon weak stability boundaries in the restricted three and four body problem. Celest. Mech. Dyn.Astron. 103, 79–103 (2009)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  • Wilson R.S., Howell K.C.: Trajectory design in the Sun–Earth–Moon system using lunar gravity assists. J. Spacecr. Rockets 35(2), 191–198 (1998)

    Article  ADS  Google Scholar 

  • Yagasaki K.: Sun-perturbed Earth-to-Moon transfers with low energy and moderate flight time. Celest. Mech. Dyn. Astron. 90(3/4), 197–212 (2004)

    Article  MATH  MathSciNet  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Mingtao Li.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Li, M., Zheng, J. Indirect transfer to the Earth–Moon L1 libration point. Celest Mech Dyn Astr 108, 203–213 (2010). https://doi.org/10.1007/s10569-010-9301-7

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10569-010-9301-7

Keywords

Navigation