Daniela Cárcamo-Díaz
Publications:
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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.
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