I saw of graph of
the precession cycle once and it appeared to occasionally skip a beat — perhaps when eccentricity got near zero — this makes some intuitive sense at least... (cause of Obliquity cycle is less obvious than precession of axis; perhaps some contribution comes from the Earth - Moon orbit and Earth + Moon — Sun orbit not being in the same plane — although the Moon's orbit will «average» near the plane of the Earth - Sun orbit over a relatively short time, but there's lunar orbit eccentricity, etc,... residuals might build up...?