Fig. 1

Occurrence of spin-orbit resonances (Slivan states) for low-inclination and low-eccentricity asteroid orbits with semimajor axis of 3.1 au: dynamical ellipticity Δ at the abscissa vs. rotation period P at the ordinate (in hours). The solid lines labeled s6 and s7 denote location where the Slivan state with the appropriate nodal frequency exists at near-to-zero obliquity in this parameter space. Both states exist in the dark gray zone, while only the s7 state exists in the light gray zone (even lower sk-frequencies would be needed in the white zone). The dashed lines show where the resonance Cassini state 2 of the s7 frequency has obliquity 30°, 50°, and 70°, from left to right. The horizontal line segment is the location of (184) Dejopeja; the uncertainty in P is too small to be visible, so basically the estimated uncertainty in Δ is shown.
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