In the present manuscript, the effects of small perturbations in the centrifugal and Coriolis forces with additional effect of three-body interaction on the locations as well as stability of the stationary points (SPs), and on the topology of the basins of convergence (BoCs) linked with these SPs in the restricted three-body problem (R3BP) are discussed by using the multivariate version of the Newton-Raphson iterative scheme. It is found that the positions of the SPs are highly influenced by the centrifugal force but their stability is highly influenced by combinations of the centrifugal and Coriolis forces. In addition, the correlations betwixt the basin of convergence (BoC) connected to the SPs and the associated number of iterations needed to assure pre-assumed precision are analyzed. Our analysis suggests that the mass ratio $\mu$, three-body interaction parameter $k$ and the effect in centrifugal and the Coriolis forces controlled by parameters $\varphi$ and $\phi$ are very influential parameters.

在本手稿中，离心力和科里奥利力的小扰动的影响以及三体相互作用对静止点 (SP) 的位置和稳定性的额外影响，以及收敛盆地 (BoC) 的拓扑结构) 与受限三体问题 (R3BP) 中的这些 SP 相关联，使用 Newton-Raphson 迭代方案的多元版本进行讨论。发现 SP 的位置受离心力的影响很大，但它们的稳定性受离心力和科里奥利力的组合影响很大。此外，还分析了连接到 SP 的收敛池 (BoC) 与确保预先假定的精度所需的相关迭代次数之间的相关性。我们的分析表明，质量比$\mu$, 三体交互参数 $克$ 以及由参数控制的离心力和科里奥利力的影响 $\phi$ 和 $\phi$ 是非常有影响的参数。