Accession Number:

AD0645513

Title:

NORMALIZATION AT L4,

Descriptive Note:

Corporate Author:

BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH MATHEMATICS RESEARCH LAB

Report Date:

1966-07-01

Pagination or Media Count:

24.0

Abstract:

Birkhoffs 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

Subject Categories:

  • Celestial Mechanics
  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE