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In this paper we use the planar circular restricted three-body problem whereone of the primary bodies is an oblate spheroid or an emitter of radiation inorder to determine the basins of attraction associated with the equilibriumpoints. The evolution of the position of the five Lagrange points is monitoredwhen the values of the mass ratio $\mu$, the oblateness coefficient $A_1$, andthe radiation pressure factor $q$ vary in predefined intervals. The regions onthe configuration $(x,y)$ plane occupied by the basins of attraction arerevealed using the multivariate version of the Newton-Raphson method. Thecorrelations between the basins of convergence of the equilibrium points andthe corresponding number of iterations needed in order to obtain the desiredaccuracy are also illustrated. We conduct a thorough and systematic numericalinvestigation demonstrating how the dynamical quantities $\mu$, $A_1$, and $q$influence the basins of attractions. Our results suggest that the mass ratioand the radiation pressure factor are the most influential parameters, while onthe other hand the structure of the basins of convergence are much lessaffected by the oblateness coefficient.

Fractal basins of attraction in the planar circular restricted three-body problem with oblateness and radiation pressure