Hénon-Heiles System

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While at Princeton in 1962, Michel Hénon and Carl Heiles worked on the non-linear motion of a star around a galactic center where the motion is restricted to a plane. In 1964 they have published an article titled 'The applicability of the third integral of motion: Some numerical experiments'. Their original idea was to find a third integral of motion in a galactic dynamics. For that purpose they have taken a simplified two-dimensional nonlinear axi-symmetric potential and found that the third integral exist only for a limited number of initial conditions. In the modern perspective these initial conditions which doesn't have the third integral motion are called chaotic orbits.

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