Computation of halo orbits in the photogravitational Sun-Earth system with oblateness

In this paper, we extend an existing approach to find the Lissajous and halo orbits around Lagrangian points L-1 and L-2 in the restricted three body problem with the Sun as a radiating source and the Earth as an oblate spheroid. We analyze the effects of radiation pressure and oblateness on the orbits around Libration points L-1 and L-2. A first guess of halo orbits is computed using Lindstedt-Poincare method upto fourth order approximation. Due to the effect of radiation pressure and oblateness the time period increases around L-1 and decreases around L-2.