太阳系中的自旋-自旋耦合
Spin-Spin Coupling in the Solar System
摘要：
各种太阳系天体的旋转状态所表现出的丰富的动力学行为推动了对它们演化历史的理论理解的重大进展。决定一个给定的物体是否倾向于表现出非平凡的旋转演化的一个重要因素是这样的物体可以在多大程度上保持永久的非球面形状，这意味着奇异的行为在太阳系的小天体种群中更为常见。引力束缚的双星天体构成了小行星和TNO群体的很大一部分，包括围绕永久变形中心天体运行的三轴卫星系统。在这项工作中，我们探讨了这种系统的旋转演化，特别强调四极-四极相互作用，并表明，对于轨道紧密，高度变形的物体，顺时针和逆行自旋-自旋共振自然会出现。随后，我们推导出首阶可积性的捕获概率，并将我们的结果应用于（87）Sylvia和（216）Kleopatra小行星系统的说明性例子。累积起来，我们的研究结果表明，自旋自旋耦合可能是必然的高度拉长，紧轨道的二进制对象。
英文摘要：
The richness of dynamical behavior exhibited by the rotational states of various solar system objects has driven significant advances in the theoretical understanding of their evolutionary histories. An important factor that determines whether a given object is prone to exhibiting non-trivial rotational evolution is the extent to which such an object can maintain a permanent aspheroidal shape, meaning that exotic behavior is far more common among the small body populations of the solar system. Gravitationally bound binary objects constitute a substantial fraction of asteroidal and TNO populations, comprising systems of triaxial satellites that orbit permanently deformed central bodies. In this work, we explore the rotational evolution of such systems with specific emphasis on quadrupole-quadrupole interactions, and show that for closely orbiting, highly deformed objects, both prograde and retrograde spin-spin resonances naturally arise. Subsequently, we derive capture probabilities for leading order commensurabilities and apply our results to the illustrative examples of (87) Sylvia and (216) Kleopatra asteroid systems. Cumulatively, our results suggest that spin-spin coupling may be consequential for highly elongated, tightly orbiting binary objects.
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