PERIODIC ORBITS AROUND L_4 IN THE PHOTOGRAVITATIONAL RESTRICTED PROBLEM WITH OBLATE PRIMARIES

摘要

In this paper, we have studied periodic orbits generated by L_4 in the restricted three body problem when both the primaries are radiating oblate bodies. We have determined periodic orbits for different values of μ, h, σ_1, σ_2, p_1 and P_2 (h is energy constant, μ. mass ratio of the two primaries, σ_1 and σ_2 are oblateness factors and p_1 and p_2 are radiation parameters). These orbits have been determined by giving displacements along the tangent and normal to the mobile coordinates as defined in our papers (Mittal et. al. [3, 4]). We have also studied the effect of oblateness and radiation pressures on periodic orbits by taking some values of μ, σ_1 σ_2, P_1 and p_2.