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Table 12

Mean critical semi-major axis ratios for all combinations of orbital motions in S3 orbits.

Orbit Critical Motionsa Mean critical ratio
type ratio Star 3 Planet Min Mean σ Max
S3 aioa2 P P 0.009 0.289 0.098 0.893
R 0.010 0.361 0.158 0.920
R P 0.007 0.287 0.096 0.853
R 0.009 0.360 0.156 0.908

Notes. (a) P – prograde, R – retrograde.

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