
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 twopoint boundaryvalue problems arising in optimization problems. The oneparameter 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