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.
Lagrange, Nouveaux m´ emoires de l’Acad´ emie des Sci- ences et Belles-Lettres de Berlin 5, 211 (1782)
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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.