Periodic Orbits Around the Triangular Points with Prolate Primaries

ABSTRACT Periodic orbits play a fundamental role in the study and deep understanding of behavior dynamical systems. In current work, we investigated periodic around triangular libration points restricted three-body problem. The equations motion problem are presented when both primaries prolate triaxial. obtained then illustrated graphically for some selected initial conditions entire domain mass ratio μ , as well. eccentricities represented graphically. It is observed that about stationary elliptical, frequencies short long influenced by shape primary bodies. Furthermore, found perturbing forces influence period, orientation, orbits.