Celestial Mechanics and Dynamical Astronomy

, Volume 126, Issue 4, pp 339–367 | Cite as

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

  • Hanqing Zhang
  • Shuang Li
Original Article


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.


Restricted three body problem Center manifold Libration point orbit (LPO) Quasi-periodic orbit 



This work was supported by the National Natural Science Foundation of China (Grant No. 11403013), the Fundamental Research Funds for the Central Universities (No. 56XAA14093, 56YAH12036) and Postdoctoral Foundation of Jiangsu Province (No. 1301029B).


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Copyright information

© Springer Science+Business Media Dordrecht 2016

Authors and Affiliations

  1. 1.Department of Astronautics Engineering, College of AstronauticsNanjing University of Aeronautics and AstronauticsNanjingChina
  2. 2.Department of Astronautics Engineering, Space New Technology LaboratoryNanjing University of Aeronautics and AstronauticsNanjingChina

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