Generalized manev potential in the perturbed circular restricted four interacting bodies hill problem with asteroids belt

This paper starts with the determination of equations of motion and Jacobian integral of the fourth smallest body in the perturbed circular restricted four interacting bodies configuration. Then by the use of proper scale and transformations in the obtained equations of motion, we develop the equations of motion and Jacobian integral for the perturbed hill four-body configuration. Further, we analyze numerically the motion properties such as potential surfaces, equilibrium points, zero-velocity curves, Poincaré surfaces of sections with trajectories allocation, basins of attracting domain and stability of the equilibrium points of the fourth smallest body in both the above said cases.