The motion around the libration points in the restricted three-body problem with the effect of radiation and oblateness

On the libration collinear points in the restricted three – body problem

“…For instance, the existence of libration points, their stability and the periodic orbits in the proximity of these points under the oblateness, triaxialty of the primaries or the effect of photogravitational force or combination of them are studied by Sharma [3], Singh and Ishwar [4], Sharma et al [5,6], Singh and Mohammed [7], Abouelmagd and El-Shaboury [8], Abouelmagd [9], Abouelmagd [10,11], Abouelmagd et al [12], Abouelmagd and Sharaf [13], Abouelmagd et al [14,15], Abouelmagd et al [1,16,17,18], Abouelmagd and Mostafa [19], Abouelmagd et al [20], Abouelmagd and Guirao [21].…”

Periodic orbits around the collinear libration points

“…Further, [25] deals with the motion around the collinear equilibrium points in the restricted three-body problem when the larger primary is radiating and the second primary is an oblate spheroid. For additional details, see [3,4,8,13].…”

“…Furthermore, in [13], it was presented a comprehensive analytical study regarding the existence of the libration points and their linear stability in the restricted three-body problem under the effect of the first two even zonal harmonic parameters with respect to both primaries. They also found out the periodic orbits around the libration points, the expressions for semi-major and semi-minor axes, the eccentricities, and the periods of elliptical orbits, as well as the orientation of the principal axes.…”

Combined Effects of Radiation and Oblateness on the Existence and Stability of Equilibrium Points in the Perturbed Restricted Four-Body Problem

“…In recent time, many researchers have taken into account the effects of radiation and oblateness in their study of restricted threebody problem [2][3][4][5][6][7][8][9].…”