Updated rotating mass dipole with oblateness of one primary (II): out-of-plane equilibria and their stability

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• 作者：Xiangyuan Zeng ; Hexi Baoyin ; Junfeng Li
• 关键词：Updated rotating mass dipole ; Oblateness of primary ; Out ; of ; plane Equilibria
• 刊名：Astrophysics and Space Science
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：361
• 期：1
• 全文大小：1,460 KB
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  Zeng, X.Y., Baoyin, H.X., Li, J.F.: Updated rotating mass dipole with oblateness of one primary. I. Equilibria in the equator and their stability. Astrophy. Space Sci. (2015b)
  
• 作者单位：Xiangyuan Zeng (1)
  Hexi Baoyin (1)
  Junfeng Li (1)
  
  1. School of Aerospace Engineering, Tsinghua University, 100084, Beijing, People鈥檚 Republic of China
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Astronomy
  
• 出版者：Springer Netherlands
• ISSN：1572-946X

文摘

Out-of-plane equilibrium points of the updated rotating mass dipole are investigated in this paper. The updated dipole system is consistent with a point mass connecting a spheroid with a massless rod in a constant distance. The oblateness of the spheroid allows the existence of out-of-plane equilibrium points. These equilibria are determined numerically based on the three dimensional dynamic equations. The influence of the system parameters on the position of these equilibria associated with the topological structure is analyzed in a parametric way. The stability of these equilibria is explored with linearized dynamic equations. Two particular cases with a prolate or an oblate spheroid of the first primary are presented to examine its influence on the distribution of the out-of-plane equilibrium points around the second primary. Keywords Updated rotating mass dipole Oblateness of primary Out-of-plane Equilibria