Periodic Orbits in the Photogravitational Restricted Problem When the Primaries Are Triaxial Rigid Bodies

Abstract

We have studied periodic orbits generated by Lagrangian solutions of the restricted three-body problem when both the primaries are triaxial rigid bodies and source of radiation pressure. We have determined periodic orbits for different values of ′ ′ ′

Bifurcation Analysis and Periodic Solutions of the HD 191408 System with Triaxial and Radiative Perturbations

“…Assuming that the coordinate of the third particle is (x, y, z), the two primaries are located at (µ, 0, 0) and (µ − 1, 0, 0), respectively. According to Singh et al [17] and Jain et al [10], the equations of motion of the third particle are…”

“…When the primaries are triaxial rigid bodies, Elshaboury et al [9] investigated the basic dynamical characteristics of the RTBP and obtained the equilibrium points as well as some simple symmetric periodic orbits. For the RTBP with radiation and triaxiality, Jain et al [10] analyzed the effects of these perturbations on periodic orbits under different energy constants. Furthermore, Idridi and Ullah [11] discussed the effects of the radiation and albedo on the existence of the noncollinear libration points in the elliptic RTBP, in which the oblateness of the second primary was considered.…”

“…In this paper, we inherit the model of the perturbed restricted three-body problem of Singh et al [17] and Jain et al [10] and continue to study the binary HD 191408 system. In Section 2, the dynamical equations that involve the parameters of the third particle in the binary system are obtained.…”

Solar Radiation Pressure Effects on Stability of Periodic Orbits in Restricted Four-Body Problem

“…ω is the angular velocity of the center of mass of the two primaries about the Sun, and s R is the distance between the Sun and the center of mass of the two primaries. Equation (11) represents the equations of motion of the fourth body under the effect of gravitational forces and the solar radiation pressure.…”

“…The classical lunar Hill problem was extended and the geometry of Poincare sections was investigated, also the direct and retrograde periodic orbits about the infinitesimal mass and their stable and unstable manifolds were studied [10]. Periodic orbits in the photo gravitational restricted problem when the primaries are tri-axial rigid bodies were investigated [11]. The Effect of Solar Radiation Pressure on the Libration Points of the Restricted Four-Body Problem was studied and the periodic orbits were presented [12].…”