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arXiv 1704.04046astro-ph.EP
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小行星101955 Bennu势场中平衡点的分叉

Bifurcation of equilibrium points in the potential field of asteroid 101955 Bennu

Xianyu Wang, Junfeng Li, Shengping Gong

摘要:

研究了小行星101955 Bennu在变密度和变自转周期情况下位场平衡点的稳定性和拓扑结构。引入一个无量纲量对运动方程进行无量纲化,该量可以同时反映小行星自转周期和体积密度的影响。利用Bennu小行星的多面体模型,计算了平衡点的数目和位置,并通过引力有效位场的等值线图加以说明。利用线性化方法研究了系统的拓扑结构和平衡点的稳定性。结果显示,小行星Bennu的势场有9个平衡点,8个在天体外部,1个在天体内部。此外,随着密度和转动周期的变化,系统会发生分岔。不同的平衡点会相遇并混合在一起。因此,平衡点的数量将发生变化。平衡点的稳定性和拓扑结构也会因为小行星的密度和自转周期的变化而发生变化。当考虑Bennu密度的误差时,无量纲量的范围覆盖了将导致分叉的临界值。这意味着平衡点的稳定性是不确定的,使得Bennu的动力学环境更加复杂。这些分叉可以帮助更好地了解形状不规则的小行星的动态环境。

英文摘要:

The stability and topological structure of equilibrium points in the potential field of the asteroid 101955 Bennu have been investigated with a variable density and rotation period. A dimensionless quantity is introduced for the nondimensionalization of the equations of motion, and this quantity can indicate the effect of both the rotation period and bulk density of the asteroid. Using the polyhedral model of the asteroid Bennu, the number and position of the equilibrium points are calculated and illustrated by a contour plot of the gravitational effective potential field. The topological structure and the stability of the equilibrium points are also investigated using the linearized method. The results show that there are nine equilibrium points in the potential field of the asteroid Bennu, eight in the exterior of the body and one in the interior of the body. Moreover, bifurcation will occur with a variation of the density and rotation period. Different equilibrium points will encounter each other and mix together. Thus, the number of equilibrium points will change. The stability and topological structure of the equilibrium points will also change because of the variation of the density and rotation period of the asteroid. When considering the error of the density of Bennu, the range of the dimensionless quantity covers the critical values that will lead to bifurcation. This means that the stability of the equilibrium points is uncertain, making the dynamical environment of Bennu much more complicated. These bifurcations can help better understand the dynamic environment of an irregular-shaped asteroid.

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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