Fig. 3

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Example of a 1:3 resonant periodic orbit whose Jacobi constant value is Cj = 7.337 × 10−3 km2 s−2 and whose period in the rotating frame is T = 21.01 h. The points at the centre of the islands in purple, shown in the Poincaré surface of section of Fig. 2 (first plot), correspond to this periodic orbit. The trajectory in the rotating frame is in the top plot, while the trajectory in the inertial frame is shown in the middle plot. The temporal evolution of the orbital radius is shown in the bottom plot. The numbers in the top and middle plots show the locations equally spaced in time, indicating the time evolution of the trajectory. The letters P and A indicate the location of the pericentre and the apocentre, respectively.
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