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/
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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