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International Journal of Aerospace Engineering
Volume 2012 (2012), Article ID 480320, 9 pages
http://dx.doi.org/10.1155/2012/480320
Research Article

Solving Coplanar Power-Limited Orbit Transfer Problem by Primer Vector Approximation Method

Department of Mechanical and Aerospace Engineering, University of Missouri, Columbia, MO 65211, USA

Received 1 November 2011; Revised 12 January 2012; Accepted 16 January 2012

Academic Editor: Alessandro A. Quarta

Copyright © 2012 Weijun Huang. 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.

Linked References

  1. T. N. Edelbaum, “Theory of maxima and minima,” in Optimization techniques: with applications to aerospace systems, G. Leitmann, Ed., vol. 5, chapter 1, Academic Press, 1962.
  2. T. N. Edelbaum, “Optimum low-thrust rendezvous and station keeping,” Journal of Spacecraft and Rockets, vol. 40, no. 6, pp. 960–965, 2003. View at Publisher · View at Google Scholar
  3. T. N. Edelbaum, “Optimum power-limited orbit transfer in strong gravity fields,” AIAA Journal, vol. 3, pp. 921–925, 1965. View at Publisher · View at Google Scholar
  4. T. N. Edelbaum, “An asymptotic solution for optimum power limited orbit transfer,” AIAA Journal, vol. 4, pp. 1491–1494, 1966. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  5. C. Zee, “Low constant tangential thrust spiral trajectories,” AIAA Journal, vol. 1, no. 7, pp. 1581–1583, 1963.
  6. A. Marinescu, “Optimal low-thrust orbital rendezvous,” Journal of Spacecraft and Rockets, vol. 13, no. 7, pp. 385–392, 1976. View at Publisher · View at Google Scholar · View at Scopus
  7. J. P. Marec and N. X. Vinh, “Optimal low-thrust, limited power transfers between arbitrary elliptical orbits,” Acta Astronautica, vol. 4, no. 5-6, pp. 511–540, 1977. View at Scopus
  8. C. M. Haissig, K. D. Mease, and N. X. Vinh, “Minimum-fuel, power-limited transfers between coplanar elliptical orbits,” Acta Astronautica, vol. 29, no. 1, pp. 1–15, 1993. View at Scopus
  9. J. A. Kechichian, “Reformulation of Edelbaum's low-thrust transfer problem using optimal control theory,” Journal of Guidance, Control, and Dynamics, vol. 20, no. 5, pp. 988–994, 1997. View at Scopus
  10. L. Casalino and G. Colasurdo, “Improved Edelbaum's approach to optimize low earth/geostationary orbits low-thrust transfers,” Journal of Guidance, Control, and Dynamics, vol. 30, no. 5, pp. 1504–1510, 2007. View at Publisher · View at Google Scholar · View at Scopus
  11. Y. Gao and C. A. Kluever, “Analytic orbital averaging technique for computing tangential-thrust trajectories,” Journal of Guidance, Control, and Dynamics, vol. 28, no. 6, pp. 1320–1323, 2005. View at Scopus
  12. N. Markopoulos, “Explicit, near-optimal guidance for power-limited transfers between coplanar circular orbits,” Journal of Guidance, Control, and Dynamics, vol. 19, no. 6, pp. 1317–1325, 1996. View at Scopus
  13. A. E. Petropoulos and J. M. Longuski, “Shape-based algorithm for automated design of low-thrust, gravity-assist trajectories,” Journal of Spacecraft and Rockets, vol. 41, no. 5, pp. 787–796, 2004. View at Scopus
  14. B. J. Wall and B. A. Conway, “Shape-based approach to low-thrust rendezvous trajectory design,” Journal of Guidance, Control, and Dynamics, vol. 32, no. 1, pp. 95–102, 2009. View at Publisher · View at Google Scholar · View at Scopus
  15. D. M. Novak and M. Vasile, “Improved shaping approach to the preliminary design of low-thrust trajectories,” Journal of Guidance, Control, and Dynamics, vol. 34, no. 1, pp. 128–147, 2011. View at Publisher · View at Google Scholar · View at Scopus
  16. T. Carter and M. Humi, “Three-impulse rendezvous near circular orbit determined through a new primer vector analysis,” in Proceedings of the AAS/AIAA Spaceflight Mechanics Meeting, vol. 140 of Advances in the Astronautical Sciences Series, 2011.