Dynamics in the charged restricted circular three-body problem

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PaViViYa-CHRCTBP.pdf (324.87 KB)

Date

2018

Authors

Vidal Díaz, Claudio
Vidarte, Jhon

Director

Publisher

Springer US
Acceso abierto / Sarbide irekia
Artículo / Artikulua
Versión aceptada / Onetsi den bertsioa

Project identifier

  • MINECO//MTM2014-59433-C2-1-P/ES/ recolecta
Impacto
5
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cited by count

Abstract

The existence and stability of periodic solutions for different types of perturbations associated to the Charged Restricted Circular Three Body Problem (shortly, CHRCTBP) is tackled using reduction and averaging theories as well as the technique of continuation of Poincaré for the study of symmetric periodic solutions. The determination of KAM 2-tori encasing some of the linearly stable periodic solutions is proved. Finally, we analyze the occurrence of Hamiltonian-Hopf bifurcations associated to some equilibrium points of the CHRCTBP.

Description

This is a post-peer-review, pre-copyedit version of an article published in Journal of Dynamics and Differential Equations. The final authenticated version is available online at: https://doi.org/10.1007/s10884-017-9627-x.

Keywords

Charged restricted circular three body problem, Averaging normalisation and reduction, Reduced space and invariants, Reeb’s theorem, Periodic solutions and linear stability, KAM tori, Bifurcations

Department

Estadística, Informática y Matemáticas / Estatistika, Informatika eta Matematika

Faculty/School

Degree

Doctorate program

URI

https://academica-e.unavarra.es/handle/2454/31968
https://doi.org/10.1007/s10884-017-9627-x

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© Springer Science+Business Media, LLC, part of Springer Nature 2017

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