Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 680394, 12 pages
http://dx.doi.org/10.1155/2012/680394
Research Article

On Bounded Satellite Motion under Constant Radial Propulsive Acceleration

1Departamento de Matemáticas y Computación, Universidad de La Rioja, 26004 Logroño, Spain
2Departamento de Ingeniería Mecánica, Universidad de La Rioja, 26004 Logroño, Spain
3Columnas de Hercules 1, 11100 San Fernando, Spain

Received 31 October 2011; Accepted 16 February 2012

Academic Editor: Ben T. Nohara

Copyright © 2012 Juan F. San-Juan 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. C. Colombo, M. Vasile, and G. Radice, “Semi-analytical solution for the optimal low-thrust deflection of near-earth objects,” Journal of Guidance, Control, and Dynamics, vol. 32, no. 3, pp. 796–809, 2009. View at Publisher · View at Google Scholar · View at Scopus
  2. R. J. McKay, M. Macdonald, J. Biggs, and C. McInnes, “Survey of highly-non-keplerian 13 orbits with low-thrust propulsion,” Journal of Guidance, Control, and Dynamics, vol. 34, no. 3, pp. 645–666, 2011. View at Google Scholar
  3. E. Y. Choueiri, “A critical history of electric propulsion: the first 50 years (1906–1956),” Journal of Propulsion and Power, vol. 20, no. 2, pp. 193–203, 2004. View at Google Scholar · View at Scopus
  4. H. S. Tsien, “Takeo from satellite orbit,” Journal of the American Rocket Society, vol. 23, pp. 233–236, 1953. View at Google Scholar
  5. J. S. Hudson and D. J. Scheeres, “Reduction of low-thrust continuous controls for trajectory dynamics,” Journal of Guidance, Control, and Dynamics, vol. 32, no. 3, pp. 780–787, 2009. View at Publisher · View at Google Scholar · View at Scopus
  6. R. H. Battin, An Introduction to the Mathematics and Methods of Astrodynamics, AIAA Education Series, AIAA, New York, NY, USA, 1987. View at Zentralblatt MATH
  7. F. W. Boltz, “Orbital motion under continuous radial thrust,” Journal of Guidance, Control, and Dynamics, vol. 14, no. 3, pp. 667–670, 1991. View at Google Scholar · View at Scopus
  8. J. Prussing and V. Coverstone-Carroll, “Constant radial thrust acceleration redux,” Journal of Guidance, Control, and Dynamics, vol. 21, no. 3, pp. 516–518, 1998. View at Google Scholar
  9. M. R. Akella, “On low radial thrust spacecraft motion,” Journal of the Astronautical Sciences, vol. 48, no. 2-3, pp. 149–161, 2000. View at Google Scholar · View at Scopus
  10. E. T. Whittaker, A Treatise on the Analytical Dynamics of Particles and Rigid Bodies, With an Introduction to the Problem of Three Bodies, Cambridge University Press, Cambridge, UK, 1904. View at Zentralblatt MATH
  11. R. Broucke, “Notes on the central force rn,” Astrophysics and Space Science, vol. 72, no. 1, pp. 33–53, 1980. View at Publisher · View at Google Scholar
  12. A. A. Quarta and G. Mengali, “New look to the constant radial acceleration Problem,” Journal of Guidance, Control, and Dynamics. In press.
  13. A. Deprit, “The elimination of the parallax in satellite theory,” Celestial Mechanics, vol. 24, no. 2, pp. 111–153, 1981. View at Publisher · View at Google Scholar · View at Scopus
  14. M. R. Akella and R. A. Broucke, “Anatomy of the constant radial thrust problem,” Journal of Guidance, Control, and Dynamics, vol. 25, no. 3, pp. 563–570, 2002. View at Google Scholar · View at Scopus
  15. S. Ferrer and M. Lara, “Families of canonical transformations by Hamilton-Jacobi-Poincare equation. Application to rotational and orbital motion,” Journal of Geometric Mechanics, vol. 2, no. 3, pp. 223–241, 2010. View at Google Scholar
  16. E. W. Weisstein, “Cubic Formula,” From MathWorld-A Wolfram Web Resource, http://mathworld.wolfram.com/CubicFormula.html.