NORMALIZATION AT L4,

Abstract

Birkhoff's normalization about a stable equilibrium for a conservative Hamiltonian system with two degrees of freedom can be implemented in a direct way: the necessary canonical transformation is built up explicitly, without inversions, by the method of undetermined coefficients. This procedure has been programmed symbolically for an electronic computer. It has been applied up to order 13 to the equilateral center of libration in the Restricted Problem of Three Bodies for the system Earth-Moon. The validity of the normalization is discussed for this case. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1966
Accession Number
AD0645513

Entities

People

  • A. R. M. Rom
  • Andre Deprit
  • Jacques Henrard

Organizations

  • Boeing

Tags

DTIC Thesaurus Topics

  • Coefficients
  • Computers
  • Flight
  • Inversion
  • Mechanics
  • Space Flight
  • Specialists
  • Universities

Readers

  • Calculus or Mathematical Analysis
  • Space Exploration and Orbital Mechanics.

Technology Areas

  • Microelectronics