Accession Number : AD0669496

Title :   THE BRACHISTOCHRONE PROBLEM SOLVED BY INVARIANT IMBEDDING, DYNAMIC PROGRAMMING AND QUASILINEARIZATION METHODS.

Descriptive Note : Technical rept.,

Corporate Author : HOUSTON UNIV TEX DEPT OF MECHANICAL ENGINEERING

Personal Author(s) : Lee,M. Z. ; Muster,D.

Report Date : MAY 1967

Pagination or Media Count : 87

Abstract : In such fields of current interest as optimal control and orbit determination, non-linear two-point boundary-value problems arise, the numerical solutions for which are difficult to obtain. In this report, some of the useful tools for treating problems of this nature - invariant imbedding, dynamic programming, and quasilinearization are studied by means of the brachistochrone problem. The three approaches are used separately and in combination. Computer programs using MAD language are presented. The results are compared with the classical solutions. (Author)

Descriptors :   (*COMPUTER PROGRAMMING, PROBLEM SOLVING), (*CALCULUS OF VARIATIONS, BOUNDARY VALUE PROBLEMS), (*BOUNDARY VALUE PROBLEMS, *OPTIMIZATION), (*ORBITS, PROBLEM SOLVING), BOUNDARY VALUE PROBLEMS, DYNAMIC PROGRAMMING, NUMERICAL METHODS AND PROCEDURES, APPROXIMATION(MATHEMATICS), FLOW CHARTING, COMPUTER PROGRAMS

Subject Categories : Numerical Mathematics
      Computer Programming and Software
      Spacecraft Trajectories and Reentry

Distribution Statement : APPROVED FOR PUBLIC RELEASE