Modelling the Equation of the Circular Restricted Three-Body Problem with Albedo Effect, Disk Of Dust And Variable Mass

Abstract

The circular restricted Three-body problem (CR3BP) assumes two primaries of constant mass and an infinitesimal body moving in the plane described by the two primaries without the realistic perturbations. Studies have extended the circular restricted Three-body problem to include oblateness, radiation pressure and dissipative forces. Classical assumption considered the primaries as point mass with constant mass and neglected other perturbations that arise in realistic settings. There exist a gap in the literature on studies of comprehensive models that integrate multiple perturbations simultaneously. The CR3BP has been modified to realize new problems by incorporating the perturbations. However, little attention have been given to the combined effects of cluster belts, such as asteroid or dust belts, together with variable mass of the primaries. This work study the incorporation of oblateness, radiation pressure, variable mass and the gravitational influence of a cluster belt to model the equation of motion of the infinitesimal body under the influence of the perturbative effects. The numerical computation shows that the inclusion of perturbative forces significantly change the configuration as the equations of motion differs from the