Abstract
We present a general nonperturbative method for constructing an integrable Hamiltonian that is close to a given nonintegrable one. The existing invariant tori of the original Hamiltonian are accurately approximated by the constructed one. We illustrate the method by applying it to apparently near-integrable gravitational potentials for which no underlying integrable Hamiltonians are known.
- Received 25 February 1994
DOI:https://doi.org/10.1103/PhysRevLett.73.2377
©1994 American Physical Society
