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Dynamics in the center manifold around equilibrium points periodically perturbed three-body problems

Le Bihan, Bastien and Masdemont, Josep and Gómez, Gérard and Lizy-Destrez, Stéphanie Dynamics in the center manifold around equilibrium points periodically perturbed three-body problems. (2016) In: ICATT 2016, 14 March 2016 - 17 March 2016 (Darmstadt, Germany).

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Official URL: http://ieeexplore.ieee.org/servlet/opac?punumber=1001514

Abstract

A new application of the parameterization method is presented to compute invariant manifolds about the equilibrium points of Periodically Perturbed Three-Body Problems (PPTBP). These techniques are applied to obtain high-order semi-numerical approximations of the center manifolds about the points L1,2 of the Sun-perturbed Earth-Moon Quasi-Bicircular 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 initialize the computation of Poincaré maps, which allow to get a qualitative description of the periodically-perturbed dynamics near the equilibrium points.

Item Type:Conference or Workshop Item (Paper)
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution:Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE)
Other partners > Universitat de Barcelona - UB (SPAIN)
Other partners > Universitat Politècnica de Catalunya - UPC (SPAIN)
Laboratory name:
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Deposited By: Lizy-Destrez Stéphanie
Deposited On:24 Aug 2016 13:56

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