Effect of perturbed potential of heterogeneous triaxial rigid bodies of N layers on the stability of libration points in the R3BP

In this paper, we investigate the motion of an infinitesimal mass m3 in the restricted three-body problem by taking both the primaries as heterogeneous triaxial rigid bodies with N layers. The potential of the proposed model and the equations of motion for the infinitesimal mass m3 are derived. Our findings reveal the existence of five libration points denoted as Li(i=1,2,3,4,5) in the proposed model, with three being collinear and two being non-collinear. We observed that the collinear libration points Li(i=1,2,3) are unstable, whereas the non-collinear libration points L4,5 are conditionally stable for the mass parameter μ∈(0,μc), where μc=0.25681k1−1.31619k2−2.24318k3−6.10258k4.