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arXiv 2602.16359astro-ph.EP
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天体物理EP类论文:转 Neptune 物体和主带小行星的 Lyapunov 时间数值分析:稳定性、准确性及方法学比较

Numerical analysis of Lyapunov Times for Trans-Neptunian Objects and Main-Belt Asteroids: stability, accuracy, and methodological comparisons

Centrum Badań Kosmicznych Polskiej Akademii Nauk (CBK PAN)(波兰科学院太空研究中心);Astronomical Observatory, University of Warsaw(华沙大学天文台);Cilium Engineering Sp. z o.o.(Cilium工程公司)

Paweł Wajer, Małgorzata Królikowska, Jakub Suchecki

AI总结:

本文通过三种数值方法分析了转Neptune物体和主带小行星的Lyapunov时间,发现克隆集合比单轨道计算更可靠,揭示了轨道不确定性物体的动力学行为。

摘要:

我们使用三种数值方法计算了转Neptune物体(TNOs)和外主带小行星(MBAs)的Lyapunov时间(TL):变分法和两种 renormalization 技术的实现。对于每个物体,TL 从名义轨道和1001个轨道克隆的集合中分别计算,从而可以比较单轨道和集合基估计之间的差异。在样本中,方法通常产生一致的结果,但某些MBAs出现了较大的差异。相比之下,TNOs在方法间表现出更大的一致性,这可能是由于较少的共振重叠。重要的是,克隆集合提供了比名义轨道计算更稳健和可靠的稳定性指标。克隆群体的中值值减少了方法依赖的偏差,并揭示了单轨道分析中隐藏的动力学行为,尤其是对于轨道约束不明确或处于共振区域的物体。虽然我们的研究集中在有限但多样化的物体上,但该方法可以直接扩展到更大的群体,提供了一种系统框架,用于探索主带小行星、转Neptune物体或其他类别的太阳系天体的长期稳定性和动力学演化。

英文摘要:

We computed Lyapunov times ($T_L$) for a sample of trans-Neptunian objects (TNOs) and outer main-belt asteroids (MBAs) using three numerical approaches: the variational method and two implementations of the renormalization technique. For each object, $T_L$ was derived both from the nominal orbit and from ensembles of 1001 orbital clones, enabling direct comparison between single-orbit and ensemble-based estimates. Across the sample, the methods generally produced consistent results, though larger discrepancies were observed for some MBAs. TNOs, in contrast, displayed greater consistency across methods, likely due to fewer overlapping resonances. Importantly, clone ensembles provided more robust and reliable stability indicators than nominal-orbit computations. Median values from clone populations reduced method-dependent biases and revealed dynamical behaviors that would remain hidden in single-orbit analyses, especially for objects with poorly constrained orbits or evolving in resonant regions. While our study focused on a limited but diverse set of objects, the methodology can be directly extended to larger populations, offering a systematic framework for exploring the long-term stability and dynamical evolution of main-belt asteroids, trans-Neptunian objects or other classes of objects in the Solar System.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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