Bifurcation of equilibrium points in the potential of heterogeneous Itokawa

Bifurcation of equilibrium points in the potential of heterogeneous Itokawa
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异质糸川势平衡点的分叉

DOI:
10.1093/mnras/stx1434
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发表时间:
2017-09
影响因子:
4.8
通讯作者:
J Li
J Li
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
L Lan;X Wang;H Baoyin;J Li

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本文研究了非均相25143 Itokawa电位中平衡点的分岔问题。首先,在传统多面体方法的基础上,提出了一种基于拆卸和重组过程的非均质小行星建模方法。其次,我们比较了均匀和非均匀情况下的平衡点和零速度曲线。此外,引入了两个区域的可变容重比δ来研究平衡点的演化。结果表明,当比例为1 ~ 2.5时,平衡点的数量发生了两次变化。具体地说,一对新的平衡点在δ1= 1.5036时出现,另一对平衡点在δ2= 2.1785时合并并消失。因此,平衡点的数量从5个增加到7个,然后随着比值δ的增加又恢复到5个。为了更好地理解异质体周围的动态环境,还研究了平衡点的拓扑结构。深入研究外平衡点的位置和稳定性,有助于在非均质天体附近的任务中更好地选择轨道。此外,对内部平衡点的研究可能以不同于均匀情况的方式反映物体的内部结构和压力。
The bifurcation of equilibrium points in the potential of heterogeneous 25143 Itokawa is investigated in this paper. First, we introduce a method improving upon the conventional polyhedral method to model a heterogeneous asteroid based on the process of disassembly and re-combination. Secondly, we compare the equilibrium points and zero-velocity curves of the homogeneous and heterogeneous cases. Moreover, a variable bulk density ratio δ of two regions is introduced to investigate the evolution of the equilibrium points. It is found that the number of equilibrium points experiences two changes when the ratio varies from 1 to 2.5. Specifically, a new pair of equilibrium points appears at a ratio δ1= 1.5036, and another pair merges and then disappears at a ratio δ2= 2.1785. Therefore, the number of equilibrium points changes from five to seven and then returns to five with increasing ratio δ. The topological structure of the equilibrium points is also investigated to achieve a better understanding of the dynamic environment around a heterogeneous body. An in-depth study of the positions and stabilities of the equilibrium points outside may facilitate a better choice of orbits in missions near heterogeneous bodies. Moreover, the investigation of the equilibrium points inside may reflect the internal structure and pressure of the body in a different manner than in the homogeneous case.
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