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 = H 0(J) + ɛR(θ, J), (ɛ ≪ 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.
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© 1999 Springer Science+Business Media Dordrecht
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Ferraz-Mello, S. (1999). Do Average Hamiltonians Exist?. In: Henrard, J., Ferraz-Mello, S. (eds) Impact of Modern Dynamics in Astronomy. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4527-5_24
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DOI: https://doi.org/10.1007/978-94-011-4527-5_24
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-5930-5
Online ISBN: 978-94-011-4527-5
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