Accession Number : AD0723441

Title :   A Manifold Imbedding Algorithm for Optimization Problems,

Corporate Author : ILLINOIS UNIV URBANA COORDINATED SCIENCE LAB

Personal Author(s) : Hontoir,Yves Raymond

Report Date : APR 1971

Pagination or Media Count : 52

Abstract : An algorithm is described for the solution of two-point boundary-value problems arising in optimization problems. The one-parameter imbedding used affects the initial and terminal manifolds and leaves the system equations unchanged. In contrast to an existing imbedding technique, the intermediate problems in this method have a physical meaning, which facilitates the choice of a proper imbedding. A reduction of computation time is also achieved and the algorithm applies to a wider variety of optimization problems. One of the numerical examples presented is the minimization of the transfer time between Earth and Mars. (Author)

Descriptors :   (*BOUNDARY VALUE PROBLEMS, NUMERICAL INTEGRATION), (*INTERPLANETARY TRAJECTORIES, *TRANSFER TRAJECTORIES), EARTH(PLANET), MARS(PLANET), OPTIMIZATION, TOPOLOGY, PARTICLE TRAJECTORIES, CONTROL SYSTEMS, ITERATIONS, MATRICES(MATHEMATICS), TIME, ALGORITHMS

Subject Categories : Theoretical Mathematics
      Spacecraft Trajectories and Reentry

Distribution Statement : APPROVED FOR PUBLIC RELEASE