A general method for the generation and extension of collinear libration point orbits

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• 作者：Hanqing Zhang ; Shuang Li
• 关键词：Restricted three body problem ; Center manifold ; Libration point orbit (LPO) ; Quasi ; periodic orbit
• 刊名：Celestial Mechanics & Dynamical Astronomy
• 出版年：2016
• 出版时间：November 2016
• 年：2016
• 卷：126
• 期：4
• 页码：339-367
• 全文大小：13,002 KB
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Astronomy
  Mathematics
  
• 出版者：Springer Netherlands
• ISSN：1572-9478
• 卷排序：126

文摘

This paper is devoted to the study on applying numerical techniques to accurately compute and robustly extend the libration point orbits (LPOs). A new methodology is proposed exploiting the hyperbolic dynamics of the collinear libration points. Numerical tools are developed to facilitate the efficient computation process, which are applicable to realistic force models and inherently parallelizable. Extensive numerical explorations in the Earth–Moon system are carried out, revealing the delicate structures of nested island chains and bounded chaotic motions on the center manifold. Numerical results confirm that the proposed approach can handle the computations of various types of LPOs in a unified manner and is operational over a wide range of energy levels. LPOs obtained with this approach offer a broad range of future mission possibilities in an extended vicinity of the collinear libration points.