Accession Number:

ADA179571

Title:

Symbol Manipulation and Applied Mathematics.

Descriptive Note:

Interim rept.,

Corporate Author:

NEW MEXICO UNIV ALBUQUERQUE DEPT OF MATHEMATICS AND STATISTICS

Personal Author(s):

Report Date:

1986-03-01

Pagination or Media Count:

5.0

Abstract:

Another project is to reveal the region of validity of perturbation methods in Hamiltonian mechanics. A canonical Lie series method was implemented to calculate perturbations of systems close to those encountered in celestial mechanics. The classical perturbation methods do not result in good approximations in the whole phase space, that is, both far from and close to the resonances. A perturbation theory with extended validity is now being sought. In the course of this study some problems encountered in algebraic manipulations in MACSYMA were corrected. This allowed a fast and efficient algorithm for canonical perturbation theory to be implemented.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE