The analysis of periodic orbits generated by Lagrangian solutions of the restricted three-body problem with non-spherical primaries

The present paper deals with the periodic orbits generated by Lagrangian solutions of the restricted three-body problem when both the primaries are oblate bodies. We have illustrated the periodic orbits for different values of mu, h, sigma(1) and sigma(2) (h is energy constant, mu is mass ratio of the two primaries, sigma(1) and sigma(2) are oblateness factors). These orbits have been determined by giving displacements along the tangent and normal to the mobile coordinates as defined by (Karimov and Sokolsky, 1989). We have applied the predictor-corrector algorithm to construct the periodic orbits in an attempt to unveil the effect of oblateness of the primaries by taking the fixed values of parameters mu, h, sigma(1) and sigma(2).