The ideal resonance problem at first order

Astronomy and Astrophysics – Astronomy

Scientific paper

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Perturbation Theory, Resonance, Elliptic Functions, Hamiltonian Functions, Pendulums, Synchronism

Scientific paper

Perturbations of the first order are removed jointly by a canonical
transformation representing the hunting effect, and by a change of the
time to synchronize the perturbed pendulum. Both operations are
expressed in elementary functions. The reduced system is a simple
pendulum integrable by elliptic functions.

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