BIRKHOFF'S NORMALIZATION

Abstract

Birkhoff's normalizing canonical transformation at an equilibrium of elliptic type with no internal resonance can be built explicitly and recursively, without partial inversions or substitutions, by means of Lie transforms. Invariant sections and ordinary families of periodic orbits for truncated normalized systems are analyzed in detail.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1969
Accession Number
AD0686592

Entities

People

  • Andre Deprit
  • Arnold Rom
  • J. F. Price
  • Jaques Henrard

Organizations

  • Boeing

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Accuracy
  • Analytic Functions
  • Cartesian Coordinates
  • Complex Variables
  • Computers
  • Energy Levels
  • Equations
  • Equations Of Motion
  • Frequency
  • Integrals
  • Numbers
  • Numerical Integration
  • Polynomials
  • Power Series
  • Precision
  • Sequences
  • Vector Spaces

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis

Technology Areas

  • Space
  • Space - Orbital Debris