Halo Orbits around L1 and L2 in the Photogravitational Sun-Earth System with Oblateness
Abstract
The Photogravitational Restricted Three Body Problem with oblateness has been studied to obtain halo orbits around the Lagrangian points L1 and L2 of the Sun-Earth system in which the Sun is taken as radiating and the Earth as an oblate spheroid. The halo orbits corresponding to fourth and fifth order approximations around L1 and L2 for actual oblateness of the Earth and for different radiation pressures for the Sun are displayed graphically. The time period of halo orbits around L1 decreases with increase in oblateness and increases with increase in radiation pressure. A reverse effect is observed due to increase in oblateness and radiation pressure on time period of orbits around L2. It is also observed that halo orbits around L1 shifts towards the source of radiation due to increase in both radiation pressure and oblateness. However, halo orbits around L2 shifts towards the source of radiation due to increase in radiation but recedes with increase in oblateness.