The nature of orbits makes the "cyclical" aspect seem reasonable to me. Especially in light of how many objects there are that have extremely elliptical orbits

The nature of orbits makes the "cyclical" aspect seem reasonable to me. Especially in light of how many objects there are that have extremely elliptical orbits which dip into the inner solar system and out to the Kuiper belt. Or, objects that end up in a resonance that seems stable enough but are modeled to eventually be perturbed into a new orbit.