Poynting–Robertson effect on the linear stability of equilibrium points in the generalized photogravitational Chermnykh's problem

Abstract

The Poynting–Robertson (P–R) effect on linear stability of equilibrium points is investigated in the generalized photogravitational Chermnykh's problem when a bigger primary is radiating and a smaller primary is an oblate spheroid. The positions of equilibrium points and their linear stabilities for various values of perturbing parameters are studied. It is found that the positions of the equilibrium points are different from the positions in the classical restricted three body problem. When the P-R effect is taken into account, these points are unstable in a linear sense. It is also found that the equilibrium points are unstable when the mass of the belt Mb ≥ 0.4.