Using an analytical and numerical study, this paper investigates the equilibrium state of the triangular equilibrium points 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 , and the positions of the triangular equilibrium points are found to depend on the mass ratio 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.

中文翻译：

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Poynting–Robertson阻力和动态展平参数对光引力ER3BP三角平衡点周围运动的影响

通过分析和数值研究，本文研究了受Poynting–Robertson（P–R）径向分量影响的三个物体的椭圆约束问题框架中太阳地球系统的三角形平衡点的平衡状态较大的初级物体的辐射压力因子以及两个初级物体（即太阳和地球）的动力展平参数。运动方程在一个无量纲的，脉动呈现坐标系，并且发现这些值的三角平衡点的位置依赖于质量比以及运动方程中涉及的微扰力。对太阳-地球系统的三角形平衡点的位置和稳定性进行的数值分析表明，摄动力对三角形平衡点的位置及其稳定性没有明显影响。因此，这项研究工作得出结论，在存在扰动力的情况下，太阳地球系统三角形平衡点附近的无穷小质量的运动保持线性稳定。