Perturbation effects in the generalized circular restricted three-body problem

Abstract

We study numerically the existence and stability of a test particle around the equilibrium points in the circular restricted three-body problem, and is generalized to include the effects in both primaries, oblateness and radiation together with P–R drag, small perturbations σ and ɛ′ given in the Coriolis and centrifugal forces α and β, respectively. The primaries are a neutron eclipsing binary system, which consists of bright oblate-stars possessing P–R drag. In the numerical exploration of the binary systems (Kruger 60 and Achird), we computed the radiation factors qi (i = 1, 2) and the dimensionless velocity of light cd which is a component of the P–R drag. It is interesting to note that, the involved parameters influence the position and stability of the triangular points. It is also observed that theses points are unstable due to the presence of a positive real part of the complex roots.