• DocumentCode
    1228556
  • Title

    Solution of Integral Equations of Motion by Successive Approximation

  • Author

    Spies, Otto R.

  • Author_Institution
    Burroughs Corporation, Burroughs Laboratories, Paoli, Pennsylvania
  • Volume
    1
  • Issue
    2
  • fYear
    1963
  • Firstpage
    1385
  • Lastpage
    1395
  • Abstract
    The paper describes an iterative method of solution of one-point- and two-point-boundary " trajectory problems" specified in the form of integral equations. The rate of convergence of the process is enhanced by the use of associated Taylor series and/or solutions of simpler problems as first approximants. The accuracy of numerical quadratures need be high only in the final few iterations. The method has strong intuitive appeal, great flexibility, and appears to have an extensive field of potential applications.
  • Keywords
    Aerospace engineering; Artificial satellites; Automotive engineering; Differential equations; Integral equations; Iterative methods; Laboratories; Missiles; Space vehicles; Taylor series;
  • fLanguage
    English
  • Journal_Title
    Aerospace, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0536-1516
  • Type

    jour

  • DOI
    10.1109/TA.1963.4319514
  • Filename
    4319514