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There is a plethora of resources on the subject of gravitational orbital resonances. I offer a small selection below; since several of you no doubt have limited time, try to look at items 1 and 2 in advance of Thursday's session.
1. https://en.wikipedia.org/wiki/Orbital_resonance#Laplace_resonance
3. https://en.wikipedia.org/wiki/TRAPPIST-1
4. https://interestingengineering.com/video/why-orbital-resonance-is-a-thing
Item 4 is a basic video explanation of the physics of the phenomenon, of which I will show the segment during minutes 6:00-16:00: From this explanation, I believe all else follows, however complicated the detailed mathematics for complete descriptions.