arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 2201.11392astro-ph.EPastro-ph.IM
收藏

共振行星穿越小行星的本征要素

Proper elements for resonant planet-crossing asteroids

M. Fenucci, G. F. Gronchi, M. Saillenfest

摘要:

真元是运动的准积分,这意味着它们可以被认为在一定的时间跨度上是常数,并且它们允许用几个参数来描述长期演化。近地物体通常有很大的偏心率,因此它们可以穿过行星的轨道。此外,其中一些已知目前与行星处于平均运动共振。因此,以前用于计算主带小行星固有元素的方法不适用于这类物体。在本文中,我们介绍了一种技术,用于计算行星穿越小行星的固有元素,这些小行星与行星处于平均运动共振状态。首先,我们在保持所有共振项的情况下,对快速角上的哈密顿量进行数值平均,并描述如何继续求解轨道交叉奇点。适当的元素,然后提取从频率分析的平均轨道交叉的解决方案。我们给出了一些已知的共振近地天体的适当元素,并与非共振模型进行了比较。这些算例表明,在计算精确的固有单元时,考虑共振的影响是必要的。

英文摘要:

Proper elements are quasi-integrals of motion, meaning that they can be considered constant over a certain timespan, and they permit to describe the long-term evolution with a few parameters. Near-Earth objects (NEOs) generally have a large eccentricity and therefore they can cross the orbits of the planets. Moreover, some of them are known to be currently in a mean-motion resonance with a planet. Thus, the methods previously used for the computation of main-belt asteroid proper elements are not appropriate for such objects. In this paper, we introduce a technique for the computation of proper elements of planet-crossing asteroids that are in a mean-motion resonance with a planet. First, we numerically average the Hamiltonian over the fast angles while keeping all the resonant terms, and we describe how to continue a solution beyond orbit crossing singularities. Proper elements are then extracted from a frequency analysis of the averaged orbit-crossing solutions. We give proper elements of some known resonant NEOs, and provide comparisons with non-resonant models. These examples show that it is necessary to take into account the effect of the resonance for the computation of accurate proper elements.

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。

↑