PX282 - I6b - three body problem II

considering that one mass dominates (eg. the sun), and the others are considered as perturbations (eg. planets)

eg: the discovery of neptune via perturbations on uranus' orbit

this leads to secular resonances* in the eccentricity, $e$, and inclination, $i$

these cause milankovich cycles* for earth, which influences the climate

when periods have integer ratios, perturbations grow in mean motion resonances, often driving systems unstable

eg: moons of jupiter, stabilized by the tidal interactions with jupiter