Skip to main content
Log in

Transfers from Geosynchronous Transfer Orbits to Sun-Earth Libration Point Trajectories

  • Original Article
  • Published:
The Journal of the Astronautical Sciences Aims and scope Submit manuscript

Abstract

Rideshares increase launch capabilities and decrease the launch costs. However, the range of orbits available for secondary payloads is dependent on launch constraints for the primary mission. Additionally, communications constraints and limited propellant options must be incorporated in the preliminary mission design strategy for secondary payloads. Ridesharing opportunities are now available for orbit destinations beyond Low Earth Orbit (LEO). In this investigation, transfers from Geosynchronous Transfer Orbits (GTO) to Sun-Earth libration point orbits are constructed by leveraging stable manifold structures and Poincaré maps.

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
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19
Fig. 20
Fig. 21
Fig. 22
Fig. 23
Fig. 24
Fig. 25
Fig. 26

Similar content being viewed by others

References

  1. Alliance, U.L.: Atlas V Launch Services User’s Guide. Lockheed Martin Commercial Launch Services (2010)

  2. Baresi, N.: Spacecraft formation flight on quasi-periodic invariant Tori. Ph.D. Dissertation, University of Colorado Boulder (2017)

  3. Bosanac, N.: Exploring the influence of a three-body interaction added to the gravitational potential function in the circular restricted three-body problem: a numerical frequency analysis. M.S. Thesis, Purdue University (2012)

  4. Bosanac, N., Webster, C.M., Howell, K.C., Folta, D.C.: Trajectory design and station-keeping analysis for the Wide Field Infrared Survey Telescope mission. In: AAS/AIAA Astrodynamics Specialist Conference (2017)

  5. Farquhar, R.: The Flight of ISEE-3/ICE-origins, mission history, and a legacy. In: AIAA/AAS Astrodynamics Specialist Conference and Exhibit p. 4464 (1998)

  6. Foing, B., Camino, O., Schoenmakers, J., de Bruin, J., Gestal, D., Alonso, M., Blake, R., Ricken, S., Pardo, P., Koschny, D., et al.: SMART-1 Mission overview from launch, lunar orbit to impact. In: Lunar Planet. Sci. XXXVIII (CD-ROM), Abstract# 1915. Lunar & Planetary Institute, Houston (2007)

  7. Gómez, G., Jorba, A., Masdemont, J., Simó, 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  Google Scholar 

  8. Gómez, G., Masdemont, J., Simó, C.: Quasihalo orbits associated with libration points. J. Astronaut. Sci. 46(2), 135–176 (1998)

    Article  MathSciNet  Google Scholar 

  9. Gómez, G., Mondelo, J.M.: The dynamics around the collinear equilibrium points of the RTBP. Physica D 157(4), 283–321 (2001)

    Article  MathSciNet  Google Scholar 

  10. Howell, K.C., Pernicka, H.J.: Numerical determination of lissajous trajectories in the restricted three-body problem. Celest. Mech. 41(1–4), 107–124 (1987)

    Article  Google Scholar 

  11. Kakoi, M.: Design of transfers from Earth-Moon L1/L2 libration point orbits to a destination object. Ph. D. Dissertation, Purdue University (2015)

  12. Koon, W.S., Lo, M.W., Marsden, J.E., Ross, S.D.: Dynamical systems, the three body problem and space mission design. (2006)

    MATH  Google Scholar 

  13. Lo, M., Williams, B., Bollman, W., Han, D., Hahn, Y., Bell, J., Hirst, E., Corwin, R., Hong, P., Howell, K.: Genesis mission design. In: AIAA/AAS Astrodynamics Specialist Conference and Exhibit, p. 4468 (1998)

  14. McCarthy, B.P., Howell, K.C.: Trajectory design using quasi-periodic orbits in the multi-body problem. In: 29th AAS/AIAA Space Flight Mechanics Meeting, Hawaii, USA (2019)

  15. Ojeda Romero, J.: Trajectory design strategies from geosynchronous transfer orbits to lagrange point orbits in the sun-earth system. Ph.D. Dissertation, Purdue University (2021)

  16. Olikara, Z.P.: Computation of quasi-periodic tori and heteroclinic connections in astrodynamics using collocation techniques. Ph.D. Dissertation, University of Colorado Boulder (2016)

  17. Olikara, Z.P., Scheeres, D.J.: Numerical method for computing quasi-periodic orbits and their stability in the restricted three-body problem. Adv. Astronaut. Sci. 145(911-930) (2012)

  18. Pavlak, T.A., Howell, K.C.: Evolution of the out-of-plane amplitude for quasi-periodic trajectories in the earth-moon system. Acta Astronautica 81(2), 456–465 (2012)

    Article  Google Scholar 

  19. Pearson, C., Stender, M., Loghry, C., Maly, J., Ivanitski, V., Cappuccio, M., Foreman, D., Galal, K., Mauro, D., Wilkie, K., et al.: Rideshare and the orbital maneuvering vehicle: The key to low-cost lagrange-point missions. In: Proc. 29th Annu. AIAA/US Conf. Small Satellite (2015)

  20. Pritchett, R., Howell, K., Folta, D.: Low-thrust trajectory design for a cislunar cubesat leveraging structures from the bicircular restricted four-body problem. In: 70th International Astronautical Congress, Washington D.C., USA, pp. 1–18 (2019)

  21. Roberts, C.: Long term missions at the Sun-Earth libration point L1: ACE SOHO, and WIND. Adv. Astronaut. Sci. 142, 1263–1282 (2012)

    Google Scholar 

  22. Scheeres, D., Van wal, S., Olikara, Z., Baresi, N., et al.: Dynamics in the Phobos environment. Adv. Space Res. 63(1), 476–495 (2019)

    Article  Google Scholar 

  23. Schlei, W., Howell, K.C., Tricoche, X., Garth, C.: Enhanced visualization and autonomous extraction of poincare map topology. J. Astronaut. Sci. 61(2), 170–197 (2014)

    Article  Google Scholar 

  24. Stender, M., Pearson, C., Maly, J., Loghry, C.: Mission case studies using the rideshare enabling orbital maneuvering vehicle. In: 2015 IEEE Aerospace Conference, pp. 1–9 (2015)

  25. Szebehely, V.: Theory of Orbits: The Restricted Problem of Three Bodies. Yale University, New Haven, Connecticut, Tech. rep. (1967)

  26. Tompkins, P., Hunt, R., D’Ortenzio, M., Galal, K., Foreman, D., Munger, J., Shirley, M., Strong, J., Barber, R., Drucker, E.: Flight operations for the LCROSS lunar impactor mission. In: SpaceOps 2010 Conference Delivering on the Dream Hosted by NASA Marshall Space Flight Center and Organized by AIAA, p. 1986 (2010)

  27. Woolley, R., Olikara, Z.: Optimized low-thrust missions from GTO to Mars. In: 2019 IEEE Aerospace Conference, pp. 1–10 (2019)

Download references

Acknowledgements

The authors thank Mr. Michael Mesarch for introducing this research topic. Assistance and guidance from colleagues in the Multi-Body Dynamics Research group at Purdue University is much appreciated as is the support of the Purdue University School of Aeronautics and Astronautics including access to the Rune and Barbara Eliasen Visualization Laboratory. This material is based upon work supported by the National Science Foundation Graduate Research Fellowship Program under Grant No. DGE-1333468. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Juan Ojeda Romero.

Ethics declarations

Conflicts of interest

On behalf of all authors, the corresponding author states that there is no conflict of interest.

Additional information

A portion of this paper was presented during the AAS/AIAA Astrodynamics Specialist Conference in Portland, Maine in August 2019.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ojeda Romero, J., Howell, K.C. Transfers from Geosynchronous Transfer Orbits to Sun-Earth Libration Point Trajectories. J Astronaut Sci 69, 251–283 (2022). https://doi.org/10.1007/s40295-022-00308-0

Download citation

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s40295-022-00308-0

Keywords

Navigation