Dynamical behavior of motion of small oblate body in the generalized elliptic restricted 3-body problem with variable mass

The dynamical behavior of the small body is studied when we assume that the primaries move in elliptical orbits centered at their common center of mass considered as the origin. We also assume that the small body is moving under the gravitational forces of the primaries and has no effect on them. It is also considered that both the primaries are having the solar radiation effects as well as oblate shape and the oblate small body has a variable mass. The equations of motion of the small body are derived under these perturbing effects by using the Jeans law and the Meshcherskii space-time transformations. We also show that this system admitted a Jacobi integral. Further the computational studies are made for the equilibrium points, forbidden regions of motion, the phase portrait with Poincare surfaces of section and the attracting regions by supposing the perturbing parameters effect. Furthermore the stability of the equilibrium points are studied by using the Meshcherskii space-time inverse transformations and we found that these points are unstable.