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

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dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtiques
dc.contributor	Universitat Politècnica de Catalunya. SD - Sistemes Dinàmics de la UPC
dc.contributor.author	Le Bihan, Bastien
dc.contributor.author	Masdemont Soler, Josep
dc.contributor.author	Gomez Muntané, Gerard
dc.contributor.author	Lizy-Destrez, Stephanie
dc.date	2016
dc.identifier.citation	Le 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.
dc.identifier.uri	http://hdl.handle.net/2117/101316
dc.language.iso	eng
dc.relation	https://indico.esa.int/indico/event/111/session/16/contribution/128/material/paper/0.pdf
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject	Three-body problem
dc.subject	Celestial mechanics
dc.subject	Parameterization method
dc.subject	center mani- fold
dc.subject	four-body model
dc.subject	quasi-bicircular problem
dc.subject	Sun-Ear th- Moon system
dc.subject	Mecànica celest
dc.subject	Problema dels tres cossos
dc.title	Dynamics in the centre manifold around equilibrium points in periodically perturbed three-body problems
dc.type	info:eu-repo/semantics/publishedVersion
dc.type	info:eu-repo/semantics/conferenceObject
dc.description.abstract	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

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