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Mathematical Problems in Engineering
Volume 2014, Article ID 359845, 15 pages
http://dx.doi.org/10.1155/2014/359845
Research Article

Effects of the Eccentricity of a Perturbing Third Body on the Orbital Correction Maneuvers of a Spacecraft

1Universidade Estadual Paulista (UNESP), São João da Boa Vista, SP, Brazil
2Instituto Nacional de Pesquisas Espaciais (INPE), 12227-010 São José dos Campos, SP, Brazil
3Universidade Estadual Paulista (UNESP), 12516-410 Guaratinguetá, SP, Brazil

Received 25 January 2014; Revised 21 April 2014; Accepted 17 May 2014; Published 3 July 2014

Academic Editor: Maria Cecilia Zanardi

Copyright © 2014 R. C. Domingos 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.

Linked References

  1. D. Ragozzine and M. E. Brown, “Orbits and masses of the satellites of the dwarf planet Haumea (2003 EL61),” The Astronomical Journal, vol. 137, no. 6, pp. 4766–4776, 2009. View at Publisher · View at Google Scholar
  2. W. Hohmann, Die Erreichbarkeit der Himmelskorper, Oldenbourg, Munich, Germany, 1925.
  3. R. F. Hoelker and R. Silber, “The bi-elliptic transfer between circular co-planar orbits,” Tech. Rep. 2-59, Army Ballistic Missile Agency, Redstone Arsenal, Huntsville, Ala, USA.
  4. A. Shternfeld, Soviet Space Science, Basic Books, New York, NY, USA, 1959.
  5. J. P. Marec, Transferts Optimaux Entre Orbites Elliptiques Proches, ONERA Publication no. 121, ONERA, Châtillon, France, 1967.
  6. D. F. Lawden, “Fundamentals of space navigation,” Journal of the British Interplanetary Society, vol. 13, pp. 87–101, 1954. View at Google Scholar
  7. D. F. Lawden, “Minimal rocket trajectories,” ARS Journal, vol. 23, no. 6, pp. 360–382, 1953. View at Google Scholar
  8. M. C. B. Biggs, The Optimization of Satellite Orbital Manoeuvres. Part I: Linearly Varying Thrust Angles, The Hatfield Polytechnic, Numerical Optimization Centre, Hertfordshire, UK, 1978.
  9. M. C. B. Biggs, The Optimisation of Satellite Orbital Manoeuvres. Part II: Using Pontryagin's Maximun Principle, The Hatfield Polytechnic, Numerical Optimisation Centre, Hertfordshire, UK, 1979.
  10. V. M. Gomes and A. F. B. A. Prado, “Low-thrust out-of-plane orbital station-keeping maneuvers for satellites,” Mathematical Problems in Engineering, vol. 2012, Article ID 532708, 14 pages, 2012. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  11. J. P. Marec, Optimal Space Trajectories, Elsevier, Amsterdam, The Netherlands, 1979.
  12. T. N. Edelbaum, “Minimum-impulse transfers in the near vicinity of a circular orbit,” Journal of Astronautical Sciences, vol. 14, no. 2, pp. 66–73, 1967. View at Google Scholar
  13. S. S. Fernandes and W. A. Golfetto, “Numerical and analytical study of optimal low-thrust limited-power transfers between close circular coplanar orbits,” Mathematical Problems in Engineering, vol. 2007, Article ID 59372, 23 pages, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  14. S. S. Fernandes and F. D. C. Carvalho, “A first-order analytical theory for optimal low-thrust limited-power transfers between arbitrary elliptical coplanar orbits,” Mathematical Problems in Engineering, vol. 2008, Article ID 525930, 30 pages, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  15. S. S. Fernandes, “Optimization of low-thrust limited-power trajectories in a noncentral gravity field transfers between orbits with small eccentricities,” Mathematical Problems in Engineering, vol. 2009, Article ID 503168, 35 pages, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  16. R. C. Domingos, R. V. de Moraes, and A. F. B. A. Prado, “Third-body perturbation in the case of elliptic orbits for the disturbing body,” Mathematical Problems in Engineering, vol. 2008, Article ID 763654, 14 pages, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  17. R. C. Domingos, A. F. B. A. Prado, and R. V. de Moraes, “A study of single- and double-averaged second-order models to evaluate third-body perturbation considering elliptic orbits for the perturbing body,” Mathematical Problems in Engineering, vol. 2013, Article ID 260830, 11 pages, 2013. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  18. G. E. Cook, “Luni-solar perturbations of the orbit of an earth satellite,” The Geophysical Journal, vol. 6, no. 3, pp. 271–291, 1962. View at Google Scholar
  19. D. E. Smith, “The perturbation of satellite orbits by extra-terrestrial gravitation,” Planetary and Space Science, vol. 9, no. 10, pp. 659–674, 1962. View at Google Scholar · View at Scopus
  20. C. R. H. Solórzano and A. F. B. A. Prado, “A comparison of averaged and full models to study the third-body perturbation,” The Scientific World Journal, vol. 2013, Article ID 136528, 16 pages, 2013. View at Publisher · View at Google Scholar
  21. K. E. Tsiolkovskii, “Investigation “the exploration of cosmic space by means of reaction devices”,” The Science Review, vol. 5, 1903. View at Google Scholar
  22. V. A. Chobotov, Orbital Mechanics, American Institute of Aeronautics and Astronautics, 1996.