Impact of Albedo, Heterogeneity, Perturbations and Circumstellar Dust in the Circular Restricted Three-body Problem

This paper explore the dynamical influence of multiple astrophysical motivated perturbations in the framework of the circular restricted three-body problem (CR3BP), focusing on the stability and evolution of trajectories near the triangular libration points. The model incorporates albedo-related radiation pressure, mass heterogeneity of the primaries, additional perturbing forces, and the gravitational potential from a circumstellar dust belt, simulating a more realistic environment such as that found in binary stellar systems surrounded by debris disks. By extending the classical CR3BP to include these effects, we investigate their combined impact on the topology of the phase space, the location and stability of the libration points. Numerical simulations reveal that circumstellar dust and reflective radiation can significantly deform the effective potential landscape, leading to shifts in equilibrium locations and the emergence of new dynamical behaviours. The findings provide insight into the complex dynamical environments of young stellar binaries, protoplanetary systems, and dust-rich exoplanetary configurations, and may inform future observational or mission-planning efforts in such contexts. Besides the three collinear libration points typically seen in classical models, the effects of heterogeneity and the belt introduce an additional collinear point, though it is linearly unstable. The findings of this study could be applied to the motion of celestial bodies under the influence of perturbing forces such as heterogeneity, the Albedo effect, and the belt.