On the nonlinear stability of the triangular points in the circular spatial restricted three-body problem
Fecha
2020Autor
Versión
Acceso abierto / Sarbide irekia
Tipo
Artículo / Artikulua
Versión
Versión aceptada / Onetsi den bertsioa
Identificador del proyecto
Impacto
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10.1134/S156035472002001X
Resumen
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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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. [--]
Materias
Restricted three-body problem,
L4 and L5,
Elliptic equilibria,
Resonances,
Formal and Lie stability,
Exponential estimates
Editor
Pleiades Publishing
Publicado en
Regular and Chaotic Dynamics, 2020, Vol. 25, No. 2, pp. 131–148
Departamento
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. Institute for Advanced Materials and Mathematics - INAMAT2
Versión del editor
Entidades Financiadoras
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.