Catalogue of stable resonant orbits?

Linguofreak

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Does anybody know of a catalogue of what sorts of orbital resonances are self-stabilizing? For example, a 1:2:4 resonance with the phase relationships of the Galilean moons is self stabilizing, as is a 1:1 resonance with a 60-degree phase difference between the bodies (within certain relative mass ranges), or a 3:2 resonance like that between Neptune and Pluto. But the 1:2:4 resonance used for the moons of Jool in KSP would be unstable if they were subject to real-world gravitational influence over each other. Has anybody ever published a catalogue giving basically a table of resonances listing period ratios, phase differences at some defined point in the cycle, whether the resonance is stable, and limitations on relative masses for stability?
 

Arvil

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Orbital resonance tends to be simple proportions such as 1:1, 2:3, even 69:73, and so forth. Good article at Wikipedia: Orbital resonance.
 

Linguofreak

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Orbital resonance tends to be simple proportions such as 1:1, 2:3, even 69:73, and so forth. Good article at Wikipedia: Orbital resonance.

Yeah, but the question is which resonances are stable, which isn't only a question of what the ratios are, but also the phase relationships. The 1:2:4 resonance of the Gallilean moons is stable (if the system is perturbed away from the perfect 1:2:4 ratio, gravitational interactions among the moons tend to bring it back to 1:2:4, and prevent close encounters), but there are other phase relationships in a 1:2:4 resonance where perturbing the system away from the resonance will lead to gravitational interactions pushing it even further away from 1:2:4, or will lead to a close encounter where one body might get ejected or otherwise have its orbit radically changed. What I'm looking for is a catalogue of which resonant systems are stable, and which aren't.
 

n72.75

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This may be of interest to you:

Resonant orbital systems are a complex topic, and I'm not sure you can consider all systems with the same ratios to be equivalent.
 
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