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Table 1

Mean critical semi-major axis ratios for all combinations of orbital motions in P1 and P2 orbits.

Orbit Critical Motionsa Mean critical ratio
type ratio Star 2 Planet Min Mean σ Max
P1 aioa2 P P 0.131 0.383 0.147 0.892
R 0.113 0.519 0.108 0.828

R P 0.110 0.385 0.077 0.897
R 0.112 0.537 0.132 0.857

P2 aoia2 P P 1.253 2.936 1.449 5.197
R 1.184 1.976 0.507 4.916

R P 0.924 2.773 0.891 5.384
R 0.591 1.960 0.571 4.957

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

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