Abstract
The aim of our work is to numerically explore the equilibrium points and the respective basins of convergence in the case of the circular restricted problem, where the two primaries are prolate. The coordinates of the libration points are derived by deploying the Newton-Raphson root method, while we also investigated the linear stability of the equilibrium points. Moreover, we also demonstrate the influence of the parameters controlling the prolateness of the primaries on the convergence dynamics of the problem. The degree of fractality of the basin diagrams on the configuration plane is estimated by calculating both the uncertainty dimension and the (boundary) basin entropy.