Milankovich cycle
Researchers noted this drift, and also that the orbit moves relative to the orbits of the other planets.  The invariable plane, the plane that represents the angular momentum of the Solar System, is approximately the orbital plane of Jupiter.  The inclination of the Earth's orbit has a 100,000 year cycle relative to the invariable plane. This is very similar to the 100,000 year eccentricity period.  This 100,000-year cycle closely matches the 100,000-year pattern of ice ages.