Kerr-like oblate heterogeneous primaries in PCRFB problem with variable mass infinitesimal body

The dynamical motion properties of the variable mass infinitesimal body are investigated under the effects of the gravitational forces of the kerr-like oblate heterogeneous primaries which are situated at the vertices of an equilateral triangle. The effects of the coriolis as well as centrifugal forces are also considered. Under the effects of the above perturbations we evaluate the equations of motion, and then we perform the important dynamical properties of motion such as the locations of parking points, their stability, first return map (i.e. Poincare surfaces of section), regions of motion by evaluating quasi-Jacobian integral and trajectory allocations by well-known software Mathematica. This study will show the effects of perturbations on these motion properties in various cases such as classical case and for different values of perturbations. One can compare these results from the results available in the literature.