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.

中文翻译：

---

圆空间受限三体问题中三角点的非线性稳定性

讨论了圆形空间受限三体问题中L ₄和L ₅的非线性稳定性的众所周知的问题。根据李（形式）稳定性的概念，提出了一些新的结果。特别是，我们提供了三个尚未发现的质量比的特定值的稳定性和渐近估计。此外，在许多情况下，我们会改进文献中的估计值。