Analysis of the potential field and equilibrium points of irregular-shaped minor celestial bodies

Analysis of the potential field and equilibrium points of irregular-shaped minor celestial bodies
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不规则形状小天体的势场和平衡点分析

DOI:
10.1007/s10509-014-2022-8
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发表时间:
2014-03
影响因子:
1.9
通讯作者:
Gong Shengping
Gong Shengping
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
Wang Xianyu;Jiang Yu;Gong Shengping

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研究小天体,包括小行星、彗星和行星的不规则卫星的引力势场的平衡点。为了更好地理解天体附近运动的无质量粒子的轨道动力学及其内部结构,对天体势场的内部和外部平衡点进行了分析。本文给出了23个小天体平衡点的位置和稳定性。此外,这些小天体的引力有效势等值线图也被用来指出它们之间的差异。此外,还讨论了平衡点的稳定性和拓扑分类,清楚地说明了平衡点附近的拓扑结构,有助于深入了解不规则形状小天体周围的轨道动力学。这里得到的结果表明,小天体的势场中至少存在一个平衡点,平衡点的数量可以是一、五、七、九,均为奇数。研究发现,对于一些形状不规则的天体,天体外部存在四个以上的平衡点,而另一些天体则没有外部平衡点。如果一个天体内部有一个平衡点,那么这个平衡点更有可能是线性稳定的。
The equilibrium points of the gravitational potential field of minor celestial bodies, including asteroids, comets, and irregular satellites of planets, are studied. In order to understand better the orbital dynamics of massless particles moving near celestial minor bodies and their internal structure, both internal and external equilibrium points of the potential field of the body are analyzed. In this paper, the location and stability of the equilibrium points of 23 minor celestial bodies are presented. In addition, the contour plots of the gravitational effective potential of these minor bodies are used to point out the differences between them. Furthermore, stability and topological classifications of equilibrium points are discussed, which clearly illustrate the topological structure near the equilibrium points and help to have an insight into the orbital dynamics around the irregular-shaped minor celestial bodies. The results obtained here show that there is at least one equilibrium point in the potential field of a minor celestial body, and the number of equilibrium points could be one, five, seven, and nine, which are all odd integers. It is found that for some irregular-shaped celestial bodies, there are more than four equilibrium points outside the bodies while for some others there are no external equilibrium points. If a celestial body has one equilibrium point inside the body, this one is more likely linearly stable.
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