论普罗米修斯和潘多拉的旋转动力学
On the rotational dynamics of Prometheus and Pandora
摘要：
通过数值实验研究了土星两颗卫星普罗米修斯（S16）和潘多拉（S17）的可能自转状态。通过计算运动的李雅普诺夫谱，分析了所有可能的同步旋转模式和接近这些模式的运动的姿态稳定性。稳定性分析证实了普罗米修斯和潘多拉的旋转可能是混沌的，尽管不排除有规律行为的可能性。两颗卫星的姿态不稳定区在相空间截面上形成一系列围绕主同步谐振中心的同心带。提出了这些带可能形成捕获同步旋转卫星的“屏障”的假说。混沌旋转的卫星可以模仿普通的同步行为：它们在很长一段时间内保持优先方向，卫星图形的最大轴近似指向土星。
英文摘要：
Possible rotation states of two satellites of Saturn, Prometheus (S16) and Pandora (S17), are studied by means of numerical experiments. The attitude stability of all possible modes of synchronous rotation and the motion close to these modes is analyzed by means of computation of the Lyapunov spectra of the motion. The stability analysis confirms that the rotation of Prometheus and Pandora might be chaotic, though the possibility of regular behaviour is not excluded. For the both satellites, the attitude instability zones form series of concentric belts enclosing the main synchronous resonance center in the phase space sections. A hypothesis is put forward that these belts might form "barriers" for capturing the satellites in synchronous rotation. The satellites in chaotic rotation can mimic ordinary regular synchronous behaviour: they preserve preferred orientation for long periods of time, the largest axis of satellite's figure being directed approximately towards Saturn.
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