Skip to main content
Log in

Applications of optimal finite thrust orbital transfers

  • Published:
Aerotecnica Missili & Spazio Aims and scope Submit manuscript

Abstract

Using the theory developed by one of the authors in a previous paper, the authors discuss and present solutions for the low thrust orbital transfer in a large number of applications of practical interest:

  1. 1.

    Telecommunication missions from the Geostationary Transfer Orbit (GTO) or the Low Earth Orbit (LEO) to the Geostationary Earth Orbit (GEO).

  2. 2.

    Navigation missions from GTO or LEO to the Medium Earth Orbit (MEO).

  3. 3.

    LEO and MEO constellation deployment.

Some emerging topics of Mission Analysis have been addressed, such as the optimization of the deployment of a constellation with orbits at different RAANs, the introduction of constraints in the trajectory like the minimum perigee altitude, and the existence of many extremal solutions for the same problem. The authors have discussed and solved these problems including the J2 and eclipse effects.

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

  1. L. Mazzini, “Flexible Spacecraft Dynamics, Control and Guidance”, Springer, Rome, 2015.

    MATH  Google Scholar 

  2. L. Mazzini, “Finite thrust orbital transfers”, Acta Astro-nautica, Volume 100, p. 107–128 (2014).

    Article  Google Scholar 

  3. C. Ferrier and R. Epenoy, “Optimal control for engines with electro-ionic propulsion under constraint of eclipse”, Acta Astronautica 48 (4) (2001) 181–192.

    Article  Google Scholar 

  4. C. A. Kluever, “Low thrust trajectory optimization using orbital averaging and control parametrization”, in: B. A. Conway (Ed.), Spacecraft Trajectory Optimization, Cambridge University Press, pp. 112–138 (Chapter5).

  5. L. Mazzini, “Time open orbital transfer in a transformed Hamiltonian setting”, J. Guid. Control Dyn. 36, September — October (5), 2013.

    Google Scholar 

  6. Jang-Won Jo and J.E. Prussing, “Procedure for Applying Second Order Conditions in Optimal Control Problems”, Journal of Guidance, Control, and Dynamics, Vol. 23, No. 2, March-April 2000

    Google Scholar 

  7. B. Chachuat, “Non linear and dynamic optimization, from theory to practice”, La-Teaching, 2007-001, Ecole Polytechnique Federale de Lausanne

  8. J. A. Kechichian, “Analytic representations of optimal low thrust transfer in circular orbits”, in: B. A. Conway (Ed.), Spacecraft Trajectory Optimization, Cambridge University Press, pp.139-177 (Chapter6).

  9. J. A. Sanders, F. Verhulst and J. Murdock, “Averaging methods in Nonlinear Dynamical Systems”, 2nd edn., vol. 59 (Springer — Applied Mathematical Sciences) (2000)

  10. M. Pontani, G. Cecchetti and P. Teofilatto, “Variable time domain neighboring optimal guidance applied to space trajectories”. Article  Nov 2015  Acta Astronautica

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Mazzini, L., Cerreto, M. Applications of optimal finite thrust orbital transfers. Aerotec. Missili Spaz. 96, 3–15 (2017). https://doi.org/10.1007/BF03404733

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF03404733

Index Terms

Navigation