Abstract
Secular resonances play an important role in the dynamics of small bodies, changing the eccentricity and inclination of the objects of the Solar System. They occur when there is a commensurability between the frequency of precession of an asteroid perihelion, g, or node, s, and the frequency of a planet, like for the case of the ½6 = g-g6 resonance with Saturn. Non-linear secular resonanc…