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2013
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# Daniela Cárcamo-Díaz

## Publications:

 Cárcamo-Díaz D., Palacián J. F., Vidal C., Yanguas P. On the Nonlinear Stability of the Triangular Points in the Circular Spatial Restricted Three-body Problem 2020, vol. 25, no. 2, pp.  131-148 Abstract The well-known problem of the nonlinear stability of $L_4$ and $L_5$ 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. Keywords: restricted three-body problem, $L_4$ and $L_5$, elliptic equilibria, resonances, formal and Lie stability, exponential estimates Citation: Cárcamo-Díaz D., Palacián J. F., Vidal C., Yanguas P.,  On the Nonlinear Stability of the Triangular Points in the Circular Spatial Restricted Three-body Problem, Regular and Chaotic Dynamics, 2020, vol. 25, no. 2, pp. 131-148 DOI:10.1134/S156035472002001X