The Photogravitational Restricted Problem of 2 + 2 Bodies with Straight Segment and Oblate Spheroid.

This study analyzes the motion of two infinitesimal bodies in the restricted problem of bodies, including an oblate spheroid and straight segment as primary bodies, along with the photogravitational effect of the more massive primary. The pertinent equations of motion of the infinitesimal bodies in the dimensionless variables are obtained by incorporating the effect caused by the oblateness, radiation pressure, and straight segment. On close examination of the parameters involved in the problem, a study of the equilibrium points of the dynamical system reveals that six of them are collinear with primary bodies' centers, while the remaining eight are not. An in-depth study is done on how the position of the equilibrium points changes with respect to the radiation parameter. The permissible and forbidden regions of motion are shown, and it is inferred that when the Jacobian constant is decreased, the permissible regions of motion expand. Furthermore, a linear stability analysis of the generated equilibrium points is done, and we observe that all the equilibrium points are unstable for a set of values of the model's parameters. [ABSTRACT FROM AUTHOR]