THE HALOING EFFECT OF THE THIRD INTEGRAL

Abstract

Whether Contopoulos' galactic system is separable (unlikely) or not (likely), the fact is that there exists a vicinity of the equilibrium in which numerical integration of high accuracy cannot separate the system from its image through a Birkhoff's normalization of high order. To all practical purposes, Stellar Dynamics is then justified in pretending that the model is, in that region, structured by a so-called third integral.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1969
Accession Number
AD0698174

Entities

People

  • Andre Deprit
  • Jacques Henrard

Organizations

  • Boeing

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Binomials
  • Dynamics
  • Energy
  • Energy Levels
  • Frequency
  • Integrals
  • Kinetic Energy
  • Mathematics
  • New York
  • Numerical Integration
  • Polynomials
  • Reliability
  • Rhode Island
  • Scientific Research
  • Vector Spaces

Fields of Study

  • Physics

Readers

  • Astronomy/Astrophysics
  • Calculus or Mathematical Analysis