Abstract
The phase space structure around L 4 in the restricted three-body problem is investigated. The connection between the long period family emanating from L 4 and the very complex structure of the stability region is shown by using the method of Poincaré’s surface of section. The zero initial velocity stability region around L 4 is determined by using a method based on the calculation of finite-time Lyapunov characteristic numbers. It is shown that the boundary of the stability region in the configuration space is formed by orbits suffering slow chaotic diffusion.
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Sándor, Z., Érdi, B. & Efthymiopoulos, C. The Phase Space Structure Around L4 in the Restricted Three-Body Problem. Celestial Mechanics and Dynamical Astronomy 78, 113–123 (2000). https://doi.org/10.1023/A:1011112228708
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DOI: https://doi.org/10.1023/A:1011112228708