Symbol Manipulation and Applied Mathematics.

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.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1986
Accession Number
ADA179571

Entities

People

  • Stanly Steinberg

Organizations

  • University of New Mexico

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mathematics
  • Celestial Mechanics
  • Computer Programming
  • Computers
  • Differential Equations
  • Equations
  • Image Processing
  • Local Area Networks
  • Mainframe Computers
  • Mathematics
  • Mechanics
  • Networks
  • New Mexico
  • Perturbation Theory
  • Processing Equipment
  • Resonance

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis

Technology Areas

  • Space
  • Space - Orbital Debris