Accession Number:

AD0723441

Title:

A Manifold Imbedding Algorithm for Optimization Problems,

Descriptive Note:

Corporate Author:

ILLINOIS UNIV URBANA COORDINATED SCIENCE LAB

Personal Author(s):

Report Date:

1971-04-01

Pagination or Media Count:

52.0

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

Subject Categories:

  • Theoretical Mathematics
  • Spacecraft Trajectories and Reentry

Distribution Statement:

APPROVED FOR PUBLIC RELEASE