Dynamics of the perturbed restricted three-body problem with quantum correction and modified gravitational potential

This work investigates the dynamics of the modified circular restricted three-body problem. The triaxial shape of the massive body, a modified gravitational parameter, quantum correction effect, radiation pressure and small perturbations in the Coriolis and centrifugal forces are all taken into account. The impact of the considered parameters in the equilibrium points and their linear stability is studied. Some new significant results in the critical mass parameter, \(\mu _c\) ${\mu }_c$ , are observed in the presence of perturbing parameters. It is found that the critical mass parameter, \(\mu _c\) ${\mu }_c$ , increases in the presence of modified gravitational potential, and it slightly decreases due to the quantum correction effect. Analytical construction of periodic orbits around the collinear equilibrium points is performed. Additionally, analysis of the impact of perturbations on the shape of these periodic orbits is conducted.