Homoclinic and heteroclinic orbits in the photogravitational restricted three-body problem (Q2505048)

The asymptotic homoclinic and heteroclinic orbits have been studied numerically in the photogravitational restricted three-body problem. The Sun-Jupiter system is taken as the model and only the larger primary radiates. Several symmetric and non-symmetric homoclinic orbits to Lyapunov periodic orbits around the collinear points \(L_1\) and \(L_2\) in the three regions of Jupiter -- interior, around Jupiter, and exterior -- are presented. Similarly, nonsymmetric heteroclinic orbits which asymptotically connect the Lyapunov periodic orbits of \(L_1\) and \(L_2\) in the Jupiter region are given. Orbits for various values of the radiation factor, including for comparison with the gravitational case \(q_1=1\), are shown on Figures. It is found that the radiation pressure exerts a significant influence on the structure of the Hill's regions.