The equilibria and periodic orbits around a dumbbell-shaped body
The equilibria and periodic orbits around a dumbbell-shaped body
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哑铃形物体周围的平衡和周期性轨道
DOI：
10.1007/s10509-013-1592-1
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发表时间：
2013-12-01
影响因子：
1.9
通讯作者：
Cui, Pingyuan
中科院分区：
文献类型：
--
作者：
Li, Xiangyu;Qiao, Dong;Cui, Pingyuan
本文研究了旋转哑铃形体附近的平衡点及其稳定性和周期轨道。首先，建立哑铃形体的几何模型。用多面体方法求出了不同长径比哑铃形体的引力场。随后，计算了这些哑铃形体的平衡点，并分析了它们的稳定性。用微分校正法确定了平衡点附近的周期轨道。最后，为了进一步了解哑铃形体的运动特性，研究了哑铃形体的旋转角速度对运动特性的影响。本研究将轨道动力学的研究工作从简单形体扩展到复杂形体，其结果可应用于某些小行星的轨道动力学研究。
This paper investigates the equilibria, their stability, and the periodic orbits in the vicinity of a rotating dumbbell-shaped body. First, the geometrical model of dumbbell-shaped body is established. The gravitational potential fields are obtained by the polyhedral method for several dumbbell-shaped bodies with various length–diameter ratios. Subsequently, the equilibrium points of these dumbbell-shaped bodies are computed and their stabilities are analyzed. Periodic orbits around equilibrium points are determined by the differential correction method. Finally, in order to understand further motion characteristic of dumbbell-shaped body, the effect of the rotating angular velocity of the dumbbell-shaped bodies is investigated. This study extends the research work of the orbital dynamics from simple shaped bodies to complex shaped bodies and the results can be applied to the dynamics of orbits around some asteroids.