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Mathematical Problems in Engineering
Volume 2014, Article ID 407087, 9 pages
Research Article

Generalized Guidance Scheme for Low-Thrust Orbit Transfer

1Department of Aerospace Engineering, Chosun University, Gwangju 501-759, Republic of Korea
2Future Convergence Research Division, Korea Aerospace Research Institute, Daejeon 305-806, Republic of Korea
3Department of Aerospace Engineering, KAIST, Daejeon 305-701, Republic of Korea
4Texas A&M University, College Station, TX 77843-3141, USA

Received 21 May 2014; Accepted 21 August 2014; Published 15 September 2014

Academic Editor: Guido Maione

Copyright © 2014 Henzeh Leeghim et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The authors present an orbital guidance scheme for the satellite with an electrical propulsion system using a Lyapunov feedback control. The construction of a Lyapunov candidate is based on orbital elements, which consist of angular momentum and eccentricity vectors. This approach performs orbit transfers between any two arbitrary elliptic or circular orbits without any singularity issues. These orbital elements uniquely describe a non degenerate Keplerian orbit. The authors improve the reliability of the existing Lyapunov orbital guidance scheme by considering the energy term. Additional improvement is achieved by adding the penalty function. Furthermore, it is shown that the final suggested approach is suitable for the satellite passing the earth’s shadow area.