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Spin-orbit coupling and chaotic rotation for circumbinary bodies: application to the small satellites of the Pluto-Charon system

机译:环绕天体的自旋轨道耦合和混沌旋转:在冥王星-Charon系统的小型卫星上的应用

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摘要

We investigate the resonant rotation of circumbinary bodies in planar quasi-circular orbits. Denoting n(b) and n the orbital mean motion of the inner binary and of the circumbinary body, respectively, we show that spin-orbit resonances exist at the frequencies n +/- kv/2, where v = n(b) - n, and k is an integer. Moreover, when the libration at natural frequency has the same magnitude as v, the resonances overlap and the rotation becomes chaotic. We apply these results to the small satellites in the Pluto-Charon system, and conclude that their rotations are likely chaotic. However, the rotation can also be stable and not synchronous for small axial asymmetries.
机译:我们研究了平面准圆形轨道中周向物体的共振旋转。分别表示n(b)和n的内部二元轨道和周围物体的轨道平均运动,我们表明自旋轨道共振存在于频率n +/- kv / 2处,其中v = n(b)- n,k是整数。而且,当固有频率的自由度与v相同时,共振重叠,旋转变得混乱。我们将这些结果应用于冥王星-夏隆系统中的小型卫星,并得出结论,它们的旋转很可能是混乱的。然而,对于小的轴向不对称性,旋转也可以是稳定的并且不同步。

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