Table of Contents
ISRN Applied Mathematics
Volume 2011, Article ID 349737, 16 pages
Research Article

Computation of the Different Errors in the Ballistic Missiles Range

1Department of Math, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia
2Department of Astronomy, Faculty of Science, Cairo University, Cairo 12613, Egypt
3Department of Applied Mathematics, Faculty of Applied Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia
4Department of Mathematics, Faculty of Science, Tanta university, Tanta, Egypt

Received 8 June 2011; Accepted 25 July 2011

Academic Editor: Z. Huang

Copyright © 2011 F. A. Abd El-Salam and S. E. Abd El-Bar. 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. H. Goldstein, Classical Mechanics, Addison-Wesley, Reading, Mass, USA, 2nd edition, 1981. View at Zentralblatt MATH
  2. J. B. Marion, Classical Dynamics of Particles and Systems, Academic Press, New York, NY, USA, 2nd edition, 1970.
  3. J. T. Wu, “Orbit determination by solving for gravity parameters with multiple arc data,” Journal of Guidance, Control, and Dynamics, vol. 15, no. 2, pp. 304–313, 1992. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  4. J. S. McFarland, “Modeling the ballistic missile problem with the state transition matrix: an analysis of trajectories including a rotating earth and atmospheric drag,” Semester Report, Virginia Tech, Blacksburg, Va, USA, 2004. View at Google Scholar
  5. G. Forden, “GUI missile flyout: a general program for simulating ballistic missiles,” Science and Global Security, vol. 15, no. 2, pp. 133–146, 2007. View at Publisher · View at Google Scholar
  6. U. N. Bao and E. D. Murray, “Computation of effective ground range using an oblate earth model,” The Journal of the Astronautically Sciences, vol. 51, no. 3, pp. 291–305, 2003. View at Google Scholar
  7. J. A. Isaacson and D. R. Vaughan, Estimation and Prediction of Ballistic Missile Trajectories, RAND Corporation, Santa Monica, Calif, USA, 1996.
  8. W. J. Harlin and D. A. Cicci, “Ballistic missile trajectory prediction using a state transition matrix,” Applied Mathematics and Computation, vol. 188, pp. 1832–1847, 2007. View at Publisher · View at Google Scholar
  9. A. Akgül and S. Karasoy, “Development of a tactical ballistic missile trajectory prediction tool,” Istanbul University Journal of Electrical & Electronic Engineering, vol. 5, no. 2, pp. 1463–1467, 2005. View at Google Scholar
  10. X. Vinh, T. Kabamba, and T. Takehira, “Optimal interception of a maneuvering long-range missile,” Acta Astronautica, vol. 48, no. 1, pp. 1–19, 2001. View at Publisher · View at Google Scholar
  11. S. A. Kamal, “Cross range error in the lambert scheme,” in Proceedings of the 10th National Aeronautical Conference, S. R. Sheikh, Ed., pp. 255–263, College of Aeronautical Engineering, PAF Academy, Risalpur, NWFP, Pakistan, April 2006.
  12. S. Bhowmik and C. Sadhukhan, “Application of extended kalman filter to tactical ballistic missile re-entry problem,” 2007.
  13. S. A. Kamal, “The multi-stage-lambert scheme for steering a satellite-launch vehicle (SLV),” in Proceedings of the 12th IEEE International Multitopic Conference, M. K. Anisx, M. K. Khan, and S. J. H. Zaidi, Eds., pp. 294–300, Bahria University, Karachi, Pakistan, December 2008.
  14. C. Y. Liu and C. T. Chen, “Tracking the warhead among objects separation from the reentry vehicle in a clear environment,” Defence Science Journal, vol. 59, no. 2, pp. 113–125, 2009. View at Google Scholar
  15. R. R. Bate, D. D. Mueller, and J. E. White, Fundamentals of Astrodynamics, Dover, New York, NY, USA, 1971.