Dynamics in the centre manifold around equilibrium points in periodically perturbed three-body problems
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A new application of the parameterization method is pre- sented to compute invariant manifolds about the equilib- rium points of Periodically Perturbed Three-Body Problems ( PPTBP ). These techniques are applied to obtain high-order semi-numerical approximations of the center manifolds abo ut the points L 1 , 2 of the Sun-perturbed Earth-Moon Quasi- Bicicular Problem ( QBCP ), which is a particular case of PPTBP . The quality of these approximations is compared with results obtained using equivalents of previous normal form procedures. Then, the parameterization is used to ini- tialize the computation of Poincaré maps, which allow to get a qualitative description of the periodically-perturb ed dynamics near the equilibrium points
CitacióLe Bihan, B., Masdemont, J.J., Gomez Muntané, Gerard, Lizy-Destrez, S. Dynamics in the centre manifold around equilibrium points in periodically perturbed three-body problems. A: International Conference on Astrodynamics Tools and Techniques. "ICATT 2016". Darmstadt: 2016, p. 1-10.