ON THE THIRD INTEGRAL OF THE GALAXY,
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 Poincare's theorem concerning the characteristic exponents in systems with multiple integrals. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1967
- Accession Number
- AD0658162
Entities
People
- C. L. Goudas
Organizations
- Boeing