A Manifold Imbedding Algorithm for Optimization Problems,

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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

Author(s):
Hontoir, Yves Raymond
Author Organization(s):
ILLINOIS UNIV URBANA COORDINATED SCIENCE LAB
Pagination:
0052

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
R-505, UILU-ENG-71-2208
Contract/Grant Number(s):
DAAB07-67-C-0199, AF-AFOSR-1579-68
Project Number(s):
AF-9749
Monitor Series:
TR-71-1814
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
(*BOUNDARY VALUE PROBLEMS, NUMERICAL INTEGRATION), (*INTERPLANETARY TRAJECTORIES, *TRANSFER TRAJECTORIES), EARTH(PLANET), MARS(PLANET), OPTIMIZATION, TOPOLOGY, PARTICLE TRAJECTORIES, CONTROL SYSTEMS, ITERATIONS, MATRICES(MATHEMATICS), TIME, ALGORITHMS
Field(s)/Group(s):
Theoretical Mathematics, Spacecraft Trajectories and Reentry
Keyword(s):
MANIFOLDS(MATHEMATICS), IMBEDDINGS(MATHEMATICS), *TWO POINT BOUNDARY VALUE PROBLEMS, CONTROL THEORY
Report Date:
1971 Apr 01