Halo orbits around L1, L2, and L3 in the photogravitational Sun-Mars elliptical restricted three-body problem

In the framework of Elliptical Restricted Three-Body Problem (ERTBP), we consider the equations of motion of an infinitesimal body in dimensionless synodic coordinate system with eccentric anomaly as an independent variable to obtain halo orbits around Sun-Mars collinear Lagrangian points L-1, L-2, and L-3. The analytical Lindstedt-Poincare method of up to third-order approximation is used to obtain a first guess for planar Lyapunov and three-dimensional halo orbits. Differential correction (DC) and natural parameter continuation techniques are used to obtain bifurcation from Lyapunov to halo orbits and to study the stability of halo orbits. The effects of radiation pressure on various parameters of halo orbits around all three collinear Lagrangian points are studied. Also, halo orbits and their parameters obtained in the framework of Circular Restricted Three-Body Problem (CRTBP) and Elliptical Restricted Three-Body Problem (ERTBP) are compared graphically.