Analysis of Equilibrium Points in Quantized Hill System

In this work, the quantized Hill problem is considered in order for us to study existence and stability of equilibrium points. particular, we have studied three different cases which give all whole possible locations two points are emerging from first case four second case, while third does not provide a realistic locations. Hence, obtained new related quantum perturbations. Furthermore, allowed forbidden regions motion investigated numerically. We demonstrate that result generalization classical one it can be reduced absence perturbation, will disappear. The motions decrease as value Jacobian constant increases, these form separate areas. Thus, infinitesimal body never move region another, trapped inside with relative large values constant.