> plane change

If you watch the animations in this (excellent) ESA video, you see the plane change occurs rapidly all by itself. Over the course of a few months it covers the entire globe, spreading across all "latitudes" (aka RAANs).

Roughly 3 minutes in: https://www.youtube.com/watch?v=9cd0-4qOvb0

https://en.wikipedia.org/wiki/Nodal_precession