Abstract
Poincaré's surface of section method is used to find and classify the main periodic orbits in a two-dimensional galactic potential first introduced by Hénon and Heiles. The stability of these periodic orbits is studied. Numerical integration with Bulirsch-Stoer method is used.
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El-Sabaa, F., Sherief, H. Periodic orbits of galactic motion. Astrophys Space Sci 167, 305–315 (1990). https://doi.org/10.1007/BF00659356
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DOI: https://doi.org/10.1007/BF00659356