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Do Average Hamiltonians Exist?
Published online by Cambridge University Press: 12 April 2016
Abstract
The word “average” and its variations became popular in the sixties and implicitly carried the idea that “averaging” methods lead to “average” Hamiltonians. However, given the Hamiltonian H = H0(J) + ϵR(θ,J),(ϵ ≪ 1), the problem of transforming it into a new Hamiltonian H* (J*) (dependent only on the new actions J*), through a canonical transformation given by zero-average trigonometrical series has no general solution at orders higher than the first.
- Type
- Analytical and Numerical Tools
- Information
- International Astronomical Union Colloquium , Volume 172: Impact of Modern Dynamics in Astronomy , 1999 , pp. 243 - 248
- Copyright
- Copyright © Kluwer 1999