Yes, they slip into resonances. This is even more pronounced in the case of the moons of Jupiter and Saturn. The resonances give them stability. As I've written before, elsewhere; Ganymede, Europa, and Io, for example, are in 1:2:4 resonance with each other: that is, for every single orbit of Jupiter that Ganymede makes, Europa makes two, and Io makes four. That keeps all three orbits stable, longterm: if one were to drift slightly, the others would gravitationally nudge it back into resonance.

So what we are seeing here is a strong, simple, robust, self-stabilising system that should automatically build out large numbers of potentially habitable worlds in every solar system. Order automatically emerges from randomness, and is automatically maintained. There’s no delicate single-point-of-failure to worry about. No precise, narrow Goldilocks zone you have to stay in. But of course, the question then is WHY are the basic parameters of matter, and the laws of physics, tuned so that this is the natural result! What tuned them? I would argue, evolution is the answer.

For those interested, I've written further about this here: https://theeggandtherock.com/p/life-without-stars-stanets-an...

Maybe you mean Orbital resonance: https://en.wikipedia.org/wiki/Orbital_resonance

Maybe thinking of Titius-Bode laws? Or perhaps the notion of Musica universalis? These are not taken too seriously since they do not hold to close observation.

https://en.wikipedia.org/wiki/Titius%E2%80%93Bode_law

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