Singularly Weighted Symplectic Forms and Applications to Asteroid Motion

Astronomy and Astrophysics – Astronomy

Scientific paper

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Hamiltonian Dynamics, Symplectic Forms, Asteroid Motion, Perturbation Theory, Secular Resonances

Scientific paper

New techniques to study Hamiltonian systems with Hamiltonian forcing are
proposed. They are based on singularly weighted symplectic forms and
transformations which preserve these forms. Applications pertaining to
asteroid motion are outlined. These involve the presence of both Jupiter
and Saturn.

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