Heterogeneous primary in the restricted three-body problem with modified Newtonian potential of secondary body

The aim of the paper is to study the motion of a test particle and its property of stability. The particle is moving under the influence of a heterogeneous primary having N-layers with different densities. The particle is also under the influence of the secondary body which is producing the modified Newtonian potential. The system is perturbed by the small perturbations in Coriolis as well as centrifugal forces. We evaluate the equations of motion of the test particle under the influence of the above said perturbations. From the above system of equations of motion, we reveal locations of stationary points as well as their stability, analytically and numerically.