The Analysis of the Photogravitational R4BP Under the Combined Effect of Stokes Drag and Oblateness with Variable Mass

In this paper, we have studied the existence, locations and stability of the equilibrium points as well as zero velocity curves (ZVCs) under the combined effect of oblateness, radiation pressure and the dissipative force (Stokes drag) in the restricted four-body problem (R4BP) with variable mass when the bigger primary m_1 is a source of radiation, second primary m_2 is an oblate/prolate spheroid and third primary m_3 is a point mass. Jeans’ law and space time transformations of Meshcherskii have been used to derive the equations of motion of the infinitesimal body whose mass is varying. The dynamical behaviour of an infinitesimal body has been investigated under the influence of radiation pressure of bigger primary and oblateness of second primary with Stokes drag. The numerical investigation shows that all the equilibrium points are non-collinear and the collinear equilibrium points do not exist due to the presence of Stokes drag. The effect of oblateness parameter A , radiation parameter q (0更多