The observed physical clustering of the orbits of small bodies in the distant Kuiper Belt (TNOs) has recently prompted the prediction of an additional planet in the outer solar system. Since the initial posing of the hypothesis, the effects of Planet Nine on the dynamics of the main cluster of TNOs - the objects anti-aligned with its orbit - have been well-studied. In particular, numerical simulations have revealed a fascinating phenomenon, referred to as "resonance hopping", in which these objects abruptly transition between different mean-motion commensurabilities with Planet Nine. In this work, we explore this effect in greater detail, with the goal of understanding what mechanism prompts the hopping events to occur. In the process, we elucidate the often underestimated role of Neptune scattering interactions, which leads to diffusion in the semi-major axes of these distant TNOs. In addition, we demonstrate that although some resonant interactions with Planet Nine do occur, the anti-aligned objects are able to survive without the resonances, confirming that the dynamics of the TNOs are predominantly driven by secular, rather than resonant, interactions with Planet Nine.

中文翻译：

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海王星-第九行星系统中的共振跳跃效应

在遥远的柯伊伯带 (TNO) 中观察到的小天体轨道的物理聚类最近促使人们预测外太阳系中还有一颗行星。自从最初提出这个假设以来，第九行星对主要 TNO 星团（与其轨道不对齐的物体）动力学的影响已经得到了很好的研究。特别是，数值模拟揭示了一种迷人的现象，称为“共振跳跃”，其中这些物体在与第九行星的不同平均运动可比性之间突然转换。在这项工作中，我们更详细地探讨了这种影响，目的是了解促使跳跃事件发生的机制。在这个过程中，我们阐明了海王星散射相互作用经常被低估的作用，这导致在这些遥远的 TNO 的半长轴上发生扩散。此外，我们证明，尽管确实发生了与第九行星的一些共振相互作用，但反对对齐的物体能够在没有共振的情况下生存，证实了 TNO 的动力学主要由与第九行星的长期相互作用而非共振相互作用驱动.