A FFT-based second-order secular perturbation method for planetary three-body systems reproduces n-body secular frequencies with sub-percent errors even near mean-motion resonances.
Boquet, Annales de l’Observatoire de Paris 19, B.1 (1889)
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Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets
A FFT-based second-order secular perturbation method for planetary three-body systems reproduces n-body secular frequencies with sub-percent errors even near mean-motion resonances.