Publication:
On the nonlinear stability of the triangular points in the circular spatial restricted three-body problem

Date

2020

Authors

Cárcamo Díaz, Daniela Jacqueline
Vidal Díaz, Claudio

Director

Publisher

Pleiades Publishing
Acceso abierto / Sarbide irekia
Artículo / Artikulua
Versión aceptada / Onetsi den bertsioa

Project identifier

AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-88137-C2-1-P/ES/recolecta
Métricas Alternativas

Abstract

The well-known problem of the nonlinear stability of L4 and L5 in the circular spatial restricted three-body problem is revisited. Some new results in the light of the concept of Lie (formal) stability are presented. In particular, we provide stability and asymptotic estimates for three specific values of the mass ratio that remained uncovered. Moreover, in many cases we improve the estimates found in the literature.

Description

Keywords

Restricted three-body problem, L4 and L5, Elliptic equilibria, Resonances, Formal and Lie stability, Exponential estimates

Department

Estatistika, Informatika eta Matematika / Institute for Advanced Materials and Mathematics - INAMAT2 / Estadística, Informática y Matemáticas

Faculty/School

Degree

Doctorate program

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© Pleiades Publishing, Ltd., 2020.

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