On the nonlinear stability of the triangular points in the circular spatial restricted three-body problem
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2021-01-25
Date
2020Author
Version
Acceso embargado / Sarbidea bahitua dago
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Artículo / Artikulua
Version
Versión aceptada / Onetsi den bertsioa
Project Identifier
ES/2PE/MTM 2017-88137
Impact
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 fou ...
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Subject
Publisher
Pleiades Publishing
Published in
Regular and Chaotic Dynamics, 2020, Vol. 25, No. 2, pp. 131–148
Departament
Universidad Pública de Navarra. Departamento de Estadística, Informática y Matemáticas /
Nafarroako Unibertsitate Publikoa. Estatistika, Informatika eta Matematika Saila /
Universidad Pública de Navarra / Nafarroako Unibertsitate Publikoa. InaMat - Institute for Advanced Materials
Publisher version
Sponsorship
The authors are partially supported by Project MTM 2017-88137-C2-1-P of the Ministry
of Science, Innovation and Universities of Spain. D. Cárcamo-Díaz acknowledges support from
CONICYT PhD/2016-21161143. C. Vidal is partially supported by Fondecyt grant 1180288.
