Precession -- in terms of the Earth's wobble

Hello... Could someone please explain precession in terms of the Earth's
26,000 year wobble? ...As a pilot, I am aware that there is precession
when, say the taildragger plane's "tail" lifts off the ground. ...the
fuselage now wants to swing either left or right, depending on the props
rotation. ..And it does this, because when the tail lifts, the prop's
spin in space has been altered. ...But what about the Earth? ...Is the
change brought about because the whole solar system is wobbling up and
down, or what? Thanks for any help... ...Jon