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arXiv 1902.03363astro-ph.EP
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矮行星妊神星环的位置

On the location of the ring around the dwarf planet Haumea

O. C. Winter1, G. Borderes-Motta1, T. Ribeiro

摘要:

最近发现的围绕矮行星(136108)Haumea的环位于环粒子的轨道运动与Haumea的自旋之间的1:3共振附近。在目前的工作中,研究了在该区域中的单个粒子的动力学位于环。使用庞加莱截面技术,与1:3共振的稳定性岛的识别和研究。随着它的存在,这种共振被加倍,产生成对的周期和准周期轨道。被加倍的事实引入了一个分界线,它产生了一个混沌层,显着减少了1:3共振的稳定区域的大小。结果还表明,存在一个最小的等效偏心率($e_{1:3}$)的存在,这种共振。该值似乎太高,无法将粒子保持在环的边界内。另一方面,庞加莱截面曲面显示存在更大的稳定区域,但与一族第一类周期轨道相关。它们存在的等效偏心率值低于$e_{1:3}$,并覆盖了一个大的径向距离,包括妊神星环的区域。因此,这个分析表明妊神星的环是在一个稳定的区域与第一类周期轨道,而不是1:3共振。

英文摘要:

The recently discovered ring around the dwarf planet (136108) Haumea is located near the 1:3 resonance between the orbital motion of the ring particles and the spin of Haumea. In the current work is studied the dynamics of individual particles in the region where is located the ring. Using the Poincaré Surface of Section technique, the islands of stability associated with the 1:3 resonance are identified and studied. Along all its existence this resonance showed to be doubled, producing pairs of periodic and quasi-periodic orbits. The fact of being doubled introduces a separatrix, which generates a chaotic layer that significantly reduces the size of the stable regions of the 1:3 resonance. The results also show that there is a minimum equivalent eccentricity ($e_{1:3}$) for the existence of such resonance. This value seems to be too high to keep a particle within the borders of the ring. On the other hand, the Poincaré Surface of Sections show the existence of much larger stable regions, but associated with a family of first kind periodic orbits. They exist with equivalent eccentricity values lower than $e_{1:3}$, and covering a large radial distance, which encompasses the region of the Haumea's ring. Therefore, this analysis suggests the Haumea's ring is in a stable region associated with a first kind periodic orbit instead of the 1:3 resonance.

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