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arXiv 2602.05044astro-ph.EP
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海尔达小行星的强迫轨道平面

On the forced orbital plane of the Hilda asteroids

The University of Arizona(亚利桑那大学)

Ian C. Matheson, Renu Malhotra

AI总结:

研究海尔达小行星的轨道平面特性,利用统计方法分析共振体样本,发现其轨道平面与木星轨道平面无显著差异。

摘要:

海尔达组小行星在木星内部的3:2平均运动共振中摆动。我们估计海尔达组在绝对星等H≤16.3的情况下观测上是完整的。这提供了一个统计上有用的数千个共振体样本,它们的半长轴都在狭窄范围内,可以与动力学理论对它们轨道分布的预期进行比较。我们使用von Mises-Fisher统计来计算海尔达组及其海尔达、舒巴特和波多马克碰撞亚群的样本平均平面和平均平面不确定性。尽管拉普拉斯-拉格朗日线性 secular 理论被认为在平均运动共振中不适用,但我们发现拉普拉斯平面和木星的轨道平面在统计上与海尔达样本平均平面无法区分。未来的工作将扩展这项研究,将研究扩展到柯伊伯带的共振群体,以便进一步检验拉普拉斯-拉格朗日线性 secular 理论对共振群体平均平面的有效性。

英文摘要:

Hilda-group asteroids librate in Jupiter's interior 3:2 mean motion resonance. We estimate that the Hilda group is observationally complete up to absolute magnitude $H\leq16.3$. This provides a statistically useful sample of thousands of resonant objects, all within a narrow range of semimajor axes, to compare with theoretical expectaitons of their orbital distribution from dynamical theory. We use von Mises-Fisher statistics to calculate the sample mean planes and mean plane uncertainties for the Hilda group and its Hilda, Schubart, and Potomac collisional subfamilies. Although Laplace-Lagrange linear secular theory is considered inapplicable within mean motion resonances, we find that the Laplace plane and the orbital plane of Jupiter are both statistically indistinguishable from the sample mean plane of the Hildas. In future work, we intend to extend this investigation to resonant populations in the Kuiper belt so as to further test the validity of Laplace-Lagrange linear secular theory for the mean planes of resonant populations.

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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