Periodic Orbits Around Lagrangian Points of the Circular Restricted Four Body Problem

In this paper we study the periodic orbits generated by Lagrangian solutions of the circular restricted four body problem in three cases. In the first case, we consider all the three primaries as spherical in shape. In the second case, we consider one of the primaries as oblate body. In the third case, we consider two of the primaries as oblate body and all the three primaries are source of radiation pressure. In all the three cases, we find the equations of motion in the Cartesian form, the tangents and normal form of equations and then we illustrate the periodic orbits by giving displacements along the tangent and normal to the mobile coordinates. And also we show the effect of oblateness and radiation pressure in the second and third cases respectively.