Accession Number:

AD0658162

Title:

ON THE THIRD INTEGRAL OF THE GALAXY,

Descriptive Note:

Corporate Author:

BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH MATHEMATICS RESEARCH LAB

Personal Author(s):

Report Date:

1967-08-01

Pagination or Media Count:

29.0

Abstract:

It is shown here that the third integral of the galaxy, whenever its constant is conserved, defines the same surface as the Hamiltonian, and thus does not constitute any new integral, but a function of the already known integral of energy. In particular, the third integral and the Hamiltonian are found to possess collinear gradients, in accordance with Poincares theorem concerning the characteristic exponents in systems with multiple integrals. Author

Subject Categories:

  • Celestial Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE