TY - JOUR
A2 - Abouelmagd, Elbaz
AU - Umar, Aishetu
AU - Abubakar Hussain, Aminu
PY - 2021
DA - 2021/02/11
TI - Impacts of Poyntingâ€“Robertson Drag and Dynamical Flattening Parameters on Motion around the Triangular Equilibrium Points of the Photogravitational ER3BP
SP - 6657500
VL - 2021
AB - Using an analytical and numerical study, this paper investigates the equilibrium state of the triangular equilibrium points L4, 5 of the Sun-Earth system in the frame of the elliptic restricted problem of three bodies subject to the radial component of Poynting–Robertson (P–R) drag and radiation pressure factor of the bigger primary as well as dynamical flattening parameters of both primary bodies (i.e., Sun and Earth). The equations of motion are presented in a dimensionless-pulsating coordinate system ξ−η, and the positions of the triangular equilibrium points are found to depend on the mass ratio μ and the perturbing forces involved in the equations of motion. A numerical analysis of the positions and stability of the triangular equilibrium points of the Sun-Earth system shows that the perturbing forces have no significant effect on the positions of the triangular equilibrium points and their stability. Hence, this research work concludes that the motion of an infinitesimal mass near the triangular equilibrium points of the Sun-Earth system remains linearly stable in the presence of the perturbing forces.
SN - 1687-7969
UR - https://doi.org/10.1155/2021/6657500
DO - 10.1155/2021/6657500
JF - Advances in Astronomy
PB - Hindawi
KW -
ER -